0.01/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.01/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.03/0.23 % Computer : n158.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:59:39 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.24 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.24 % remaining time: 5999 next slice time: 12 0.07/0.27 lrs+1011_3:1_av=off:cond=on:irw=on:lma=on:nm=16:nwc=1:stl=30:sos=all:updr=off_11 on theBenchmark 1.35/1.57 % (48211)Time limit reached! 1.35/1.57 % ------------------------------ 1.35/1.57 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.35/1.57 % Termination reason: Time limit 1.35/1.57 % Termination phase: Saturation 1.35/1.57 1.35/1.57 % Memory used [KB]: 6140 1.35/1.57 % Time elapsed: 1.300 s 1.35/1.57 % ------------------------------ 1.35/1.57 % ------------------------------ 1.35/1.57 % remaining time: 5986 next slice time: 4 1.35/1.57 lrs+1002_8_add=large:afp=40000:afq=1.0:amm=off:anc=none:cond=on:gs=on:irw=on:nm=16:newcnf=on:nwc=1:stl=30:sos=on:sp=reverse_arity:updr=off_2 on theBenchmark 1.35/1.58 % Refutation not found, incomplete strategy 1.35/1.58 % ------------------------------ 1.35/1.58 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.35/1.58 % Termination reason: Refutation not found, incomplete strategy 1.35/1.58 1.35/1.58 % Memory used [KB]: 10234 1.35/1.58 % Time elapsed: 0.012 s 1.35/1.58 % ------------------------------ 1.35/1.58 % ------------------------------ 1.35/1.58 % remaining time: 5986 next slice time: 10 1.35/1.58 lrs+10_50_add=large:afp=40000:afq=1.2:amm=sco:anc=none:br=off:cond=on:fsr=off:gsp=input_only:gs=on:irw=on:lma=on:nm=64:nwc=1:stl=30:sos=all:sp=reverse_arity:urr=on_8 on theBenchmark 1.35/1.59 % Refutation not found, incomplete strategy 1.35/1.59 % ------------------------------ 1.35/1.59 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.35/1.59 % Termination reason: Refutation not found, incomplete strategy 1.35/1.59 1.35/1.59 % Memory used [KB]: 9722 1.35/1.59 % Time elapsed: 0.003 s 1.35/1.59 % ------------------------------ 1.35/1.59 % ------------------------------ 1.35/1.59 % remaining time: 5986 next slice time: 7 1.35/1.59 dis+1002_3:1_acc=model:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_5 on theBenchmark 2.19/2.39 % (48214)Time limit reached! 2.19/2.39 % ------------------------------ 2.19/2.39 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.19/2.39 % Termination reason: Time limit 2.19/2.39 % Termination phase: Saturation 2.19/2.39 2.19/2.39 % Memory used [KB]: 23411 2.19/2.39 % Time elapsed: 0.800 s 2.19/2.39 % ------------------------------ 2.19/2.39 % ------------------------------ 2.22/2.41 % remaining time: 5978 next slice time: 38 2.22/2.41 ott+11_8_amm=off:anc=none:bsr=on:cond=on:irw=on:nm=2:nwc=1.1:ss=axioms:st=2.0:sac=on_36 on theBenchmark 2.94/3.19 % Refutation found. Thanks to Tanya! 2.94/3.19 % SZS status Theorem for theBenchmark 2.94/3.19 % SZS output start Proof for theBenchmark 2.94/3.19 fof(f1,axiom,( 2.94/3.19 ! [X0] : (bool(X0) <=> (true = X0 | false = X0))), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_bool)). 2.94/3.19 fof(f2,axiom,( 2.94/3.19 ! [X0] : ((~d(X0) & phi(X0) = err) | (d(X0) & phi(X0) = X0))), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_phi)). 2.94/3.19 fof(f3,axiom,( 2.94/3.19 ! [X1] : true = lazy_impl(false,X1)), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',lazy_impl_axiom2)). 2.94/3.19 fof(f5,axiom,( 2.94/3.19 ! [X4,X1] : ((bool(X4) & ~bool(X1)) => phi(X1) = or1(X4,X1))), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',or1_axiom2)). 2.94/3.19 fof(f12,axiom,( 2.94/3.19 ! [X2,X5] : ? [X6] : (phi(f3(X2,X5,X6)) = or2(X2,X5) & ~? [X8] : forallprefers(f3(X2,X5,X8),f3(X2,X5,X6)))), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_or2)). 2.94/3.19 fof(f13,axiom,( 2.94/3.19 ! [X1] : phi(X1) = lazy_impl(true,X1)), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',lazy_impl_axiom3)). 2.94/3.19 fof(f21,axiom,( 2.94/3.19 ! [X1] : (bool(X1) => impl(true,X1) = X1)), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom4)). 2.94/3.19 fof(f22,axiom,( 2.94/3.19 ! [X4,X1] : (~bool(X4) => phi(X4) = impl(X4,X1))), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom1)). 2.94/3.19 fof(f23,axiom,( 2.94/3.19 d(err) & d(false) & d(true)), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_true_err_in_d)). 2.94/3.19 fof(f28,axiom,( 2.94/3.19 ! [X4,X1] : (~bool(X4) => phi(X4) = or1(X4,X1))), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',or1_axiom1)). 2.94/3.19 fof(f29,axiom,( 2.94/3.19 ! [X2,X5,X6] : lazy_impl(prop(X6),impl(impl(X2,X6),impl(impl(X5,X6),X6))) = f3(X2,X5,X6)), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_f3)). 2.94/3.19 fof(f31,axiom,( 2.94/3.19 ! [X4,X1] : ((bool(X4) & ~bool(X1)) => phi(X1) = impl(X4,X1))), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom2)). 2.94/3.19 fof(f33,axiom,( 2.94/3.19 ! [X1] : (bool(X1) => true = impl(false,X1))), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom3)). 2.94/3.19 fof(f34,axiom,( 2.94/3.19 ! [X0] : (bool(X0) <=> true = prop(X0))), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop_true)). 2.94/3.19 fof(f35,axiom,( 2.94/3.19 ! [X0,X9] : (((~d(X0) & d(X9)) | (false = X0 & true = X9) | (~bool(X0) & bool(X9) & d(X9) & d(X0))) <=> forallprefers(X0,X9))), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_forallprefers)). 2.94/3.19 fof(f37,axiom,( 2.94/3.19 ! [X1] : (bool(X1) => or1(false,X1) = X1)), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',or1_axiom4)). 2.94/3.19 fof(f38,axiom,( 2.94/3.19 ! [X1] : (bool(X1) => true = or1(true,X1))), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',or1_axiom3)). 2.94/3.19 fof(f40,axiom,( 2.94/3.19 false != err & true != err & false != true), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct_false_true_err)). 2.94/3.19 fof(f41,axiom,( 2.94/3.19 ! [X0] : (false = prop(X0) <=> ~bool(X0))), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop_false)). 2.94/3.19 fof(f45,conjecture,( 2.94/3.19 ! [X2,X5] : or1(X2,X5) = or2(X2,X5)), 2.94/3.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',or1_or2)). 2.94/3.19 fof(f46,negated_conjecture,( 2.94/3.19 ~! [X2,X5] : or1(X2,X5) = or2(X2,X5)), 2.94/3.19 inference(negated_conjecture,[],[f45])). 2.94/3.19 fof(f47,plain,( 2.94/3.19 ~! [X0,X1] : or1(X0,X1) = or2(X0,X1)), 2.94/3.19 inference(rectify,[],[f46])). 2.94/3.19 fof(f48,plain,( 2.94/3.19 ! [X0,X1] : ? [X2] : (phi(f3(X0,X1,X2)) = or2(X0,X1) & ~? [X3] : forallprefers(f3(X0,X1,X3),f3(X0,X1,X2)))), 2.94/3.19 inference(rectify,[],[f12])). 2.94/3.19 fof(f49,plain,( 2.94/3.19 ! [X0,X1] : ((bool(X0) & ~bool(X1)) => phi(X1) = or1(X0,X1))), 2.94/3.19 inference(rectify,[],[f5])). 2.94/3.19 fof(f50,plain,( 2.94/3.19 ! [X0,X1] : (~bool(X0) => phi(X0) = or1(X0,X1))), 2.94/3.19 inference(rectify,[],[f28])). 2.94/3.19 fof(f51,plain,( 2.94/3.19 ! [X0] : (bool(X0) => true = or1(true,X0))), 2.94/3.19 inference(rectify,[],[f38])). 2.94/3.19 fof(f52,plain,( 2.94/3.19 ! [X0] : (bool(X0) => or1(false,X0) = X0)), 2.94/3.19 inference(rectify,[],[f37])). 2.94/3.19 fof(f53,plain,( 2.94/3.19 ! [X0,X1] : ((bool(X0) & ~bool(X1)) => phi(X1) = impl(X0,X1))), 2.94/3.19 inference(rectify,[],[f31])). 2.94/3.19 fof(f54,plain,( 2.94/3.19 ! [X0,X1] : (~bool(X0) => phi(X0) = impl(X0,X1))), 2.94/3.19 inference(rectify,[],[f22])). 2.94/3.19 fof(f55,plain,( 2.94/3.19 ! [X0,X1] : (((~d(X0) & d(X1)) | (false = X0 & true = X1) | (~bool(X0) & bool(X1) & d(X1) & d(X0))) <=> forallprefers(X0,X1))), 2.94/3.19 inference(rectify,[],[f35])). 2.94/3.19 fof(f56,plain,( 2.94/3.19 ! [X0,X1,X2] : lazy_impl(prop(X2),impl(impl(X0,X2),impl(impl(X1,X2),X2))) = f3(X0,X1,X2)), 2.94/3.19 inference(rectify,[],[f29])). 2.94/3.19 fof(f57,plain,( 2.94/3.19 ! [X0] : (bool(X0) => true = impl(false,X0))), 2.94/3.19 inference(rectify,[],[f33])). 2.94/3.19 fof(f58,plain,( 2.94/3.19 ! [X0] : (bool(X0) => impl(true,X0) = X0)), 2.94/3.19 inference(rectify,[],[f21])). 2.94/3.19 fof(f59,plain,( 2.94/3.19 ! [X0] : phi(X0) = lazy_impl(true,X0)), 2.94/3.19 inference(rectify,[],[f13])). 2.94/3.19 fof(f60,plain,( 2.94/3.19 ! [X0] : true = lazy_impl(false,X0)), 2.94/3.19 inference(rectify,[],[f3])). 2.94/3.19 fof(f68,plain,( 2.94/3.19 ! [X0,X1] : (((~d(X0) & d(X1)) | (false = X0 & true = X1) | (~bool(X0) & bool(X1) & d(X1) & d(X0))) => forallprefers(X0,X1))), 2.94/3.19 inference(unused_predicate_definition_removal,[],[f55])). 2.94/3.19 fof(f70,plain,( 2.94/3.19 ? [X0,X1] : or1(X0,X1) != or2(X0,X1)), 2.94/3.19 inference(ennf_transformation,[],[f47])). 2.94/3.19 fof(f71,plain,( 2.94/3.19 ! [X0,X1] : ? [X2] : (phi(f3(X0,X1,X2)) = or2(X0,X1) & ! [X3] : ~forallprefers(f3(X0,X1,X3),f3(X0,X1,X2)))), 2.94/3.19 inference(ennf_transformation,[],[f48])). 2.94/3.19 fof(f72,plain,( 2.94/3.19 ! [X0,X1] : (phi(X1) = or1(X0,X1) | (~bool(X0) | bool(X1)))), 2.94/3.19 inference(ennf_transformation,[],[f49])). 2.94/3.19 fof(f73,plain,( 2.94/3.19 ! [X0,X1] : (phi(X1) = or1(X0,X1) | ~bool(X0) | bool(X1))), 2.94/3.19 inference(flattening,[],[f72])). 2.94/3.19 fof(f74,plain,( 2.94/3.19 ! [X0,X1] : (phi(X0) = or1(X0,X1) | bool(X0))), 2.94/3.19 inference(ennf_transformation,[],[f50])). 2.94/3.19 fof(f75,plain,( 2.94/3.19 ! [X0] : (true = or1(true,X0) | ~bool(X0))), 2.94/3.19 inference(ennf_transformation,[],[f51])). 2.94/3.19 fof(f76,plain,( 2.94/3.19 ! [X0] : (or1(false,X0) = X0 | ~bool(X0))), 2.94/3.19 inference(ennf_transformation,[],[f52])). 2.94/3.19 fof(f77,plain,( 2.94/3.19 ! [X0,X1] : (phi(X1) = impl(X0,X1) | (~bool(X0) | bool(X1)))), 2.94/3.19 inference(ennf_transformation,[],[f53])). 2.94/3.19 fof(f78,plain,( 2.94/3.19 ! [X0,X1] : (phi(X1) = impl(X0,X1) | ~bool(X0) | bool(X1))), 2.94/3.19 inference(flattening,[],[f77])). 2.94/3.19 fof(f79,plain,( 2.94/3.19 ! [X0,X1] : (phi(X0) = impl(X0,X1) | bool(X0))), 2.94/3.19 inference(ennf_transformation,[],[f54])). 2.94/3.19 fof(f80,plain,( 2.94/3.19 ! [X0,X1] : (forallprefers(X0,X1) | ((d(X0) | ~d(X1)) & (false != X0 | true != X1) & (bool(X0) | ~bool(X1) | ~d(X1) | ~d(X0))))), 2.94/3.19 inference(ennf_transformation,[],[f68])). 2.94/3.19 fof(f81,plain,( 2.94/3.19 ! [X0] : (true = impl(false,X0) | ~bool(X0))), 2.94/3.19 inference(ennf_transformation,[],[f57])). 2.94/3.19 fof(f82,plain,( 2.94/3.19 ! [X0] : (impl(true,X0) = X0 | ~bool(X0))), 2.94/3.19 inference(ennf_transformation,[],[f58])). 2.94/3.19 fof(f88,plain,( 2.94/3.19 ! [X0,X1] : (((d(X0) | ~d(X1)) & (false != X0 | true != X1) & (bool(X0) | ~bool(X1) | ~d(X1) | ~d(X0))) | ~sP0(X0,X1))), 2.94/3.19 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])). 2.94/3.19 fof(f89,plain,( 2.94/3.19 ! [X0,X1] : (forallprefers(X0,X1) | sP0(X0,X1))), 2.94/3.19 inference(definition_folding,[],[f80,f88])). 2.94/3.19 fof(f92,plain,( 2.94/3.19 ! [X0] : ((d(X0) & phi(X0) = X0) | ~sP2(X0))), 2.94/3.19 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])). 2.94/3.19 fof(f93,plain,( 2.94/3.19 ! [X0] : ((~d(X0) & phi(X0) = err) | sP2(X0))), 2.94/3.19 inference(definition_folding,[],[f2,f92])). 2.94/3.19 fof(f94,plain,( 2.94/3.19 ? [X0,X1] : or1(X0,X1) != or2(X0,X1) => or1(sK3,sK4) != or2(sK3,sK4)), 2.94/3.19 introduced(choice_axiom,[])). 2.94/3.19 fof(f95,plain,( 2.94/3.19 or1(sK3,sK4) != or2(sK3,sK4)), 2.94/3.19 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f70,f94])). 2.94/3.19 fof(f96,plain,( 2.94/3.19 ! [X1,X0] : (? [X2] : (phi(f3(X0,X1,X2)) = or2(X0,X1) & ! [X3] : ~forallprefers(f3(X0,X1,X3),f3(X0,X1,X2))) => (phi(f3(X0,X1,sK5(X0,X1))) = or2(X0,X1) & ! [X3] : ~forallprefers(f3(X0,X1,X3),f3(X0,X1,sK5(X0,X1)))))), 2.94/3.19 introduced(choice_axiom,[])). 2.94/3.19 fof(f97,plain,( 2.94/3.19 ! [X0,X1] : (phi(f3(X0,X1,sK5(X0,X1))) = or2(X0,X1) & ! [X3] : ~forallprefers(f3(X0,X1,X3),f3(X0,X1,sK5(X0,X1))))), 2.94/3.19 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f71,f96])). 2.94/3.19 fof(f98,plain,( 2.94/3.19 ! [X0,X1] : (((d(X0) | ~d(X1)) & (false != X0 | true != X1) & (bool(X0) | ~bool(X1) | ~d(X1) | ~d(X0))) | ~sP0(X0,X1))), 2.94/3.19 inference(nnf_transformation,[],[f88])). 2.94/3.19 fof(f99,plain,( 2.94/3.19 ! [X0] : ((bool(X0) | (true != X0 & false != X0)) & ((true = X0 | false = X0) | ~bool(X0)))), 2.94/3.19 inference(nnf_transformation,[],[f1])). 2.94/3.19 fof(f100,plain,( 2.94/3.19 ! [X0] : ((bool(X0) | (true != X0 & false != X0)) & (true = X0 | false = X0 | ~bool(X0)))), 2.94/3.19 inference(flattening,[],[f99])). 2.94/3.19 fof(f101,plain,( 2.94/3.19 ! [X0] : ((false = prop(X0) | bool(X0)) & (~bool(X0) | false != prop(X0)))), 2.94/3.19 inference(nnf_transformation,[],[f41])). 2.94/3.19 fof(f103,plain,( 2.94/3.19 ! [X0] : ((d(X0) & phi(X0) = X0) | ~sP2(X0))), 2.94/3.19 inference(nnf_transformation,[],[f92])). 2.94/3.19 fof(f104,plain,( 2.94/3.19 ! [X0] : ((bool(X0) | true != prop(X0)) & (true = prop(X0) | ~bool(X0)))), 2.94/3.19 inference(nnf_transformation,[],[f34])). 2.94/3.19 fof(f111,plain,( 2.94/3.19 or1(sK3,sK4) != or2(sK3,sK4)), 2.94/3.19 inference(cnf_transformation,[],[f95])). 2.94/3.19 fof(f112,plain,( 2.94/3.19 ( ! [X0,X3,X1] : (~forallprefers(f3(X0,X1,X3),f3(X0,X1,sK5(X0,X1)))) )), 2.94/3.19 inference(cnf_transformation,[],[f97])). 2.94/3.19 fof(f113,plain,( 2.94/3.19 ( ! [X0,X1] : (phi(f3(X0,X1,sK5(X0,X1))) = or2(X0,X1)) )), 2.94/3.19 inference(cnf_transformation,[],[f97])). 2.94/3.19 fof(f114,plain,( 2.94/3.19 ( ! [X0,X1] : (phi(X1) = or1(X0,X1) | ~bool(X0) | bool(X1)) )), 2.94/3.19 inference(cnf_transformation,[],[f73])). 2.94/3.19 fof(f115,plain,( 2.94/3.19 ( ! [X0,X1] : (phi(X0) = or1(X0,X1) | bool(X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f74])). 2.94/3.19 fof(f116,plain,( 2.94/3.19 ( ! [X0] : (~bool(X0) | true = or1(true,X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f75])). 2.94/3.19 fof(f117,plain,( 2.94/3.19 ( ! [X0] : (~bool(X0) | or1(false,X0) = X0) )), 2.94/3.19 inference(cnf_transformation,[],[f76])). 2.94/3.19 fof(f118,plain,( 2.94/3.19 ( ! [X0,X1] : (phi(X1) = impl(X0,X1) | ~bool(X0) | bool(X1)) )), 2.94/3.19 inference(cnf_transformation,[],[f78])). 2.94/3.19 fof(f119,plain,( 2.94/3.19 ( ! [X0,X1] : (phi(X0) = impl(X0,X1) | bool(X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f79])). 2.94/3.19 fof(f120,plain,( 2.94/3.19 ( ! [X0,X1] : (bool(X0) | ~bool(X1) | ~d(X1) | ~d(X0) | ~sP0(X0,X1)) )), 2.94/3.19 inference(cnf_transformation,[],[f98])). 2.94/3.19 fof(f121,plain,( 2.94/3.19 ( ! [X0,X1] : (false != X0 | true != X1 | ~sP0(X0,X1)) )), 2.94/3.19 inference(cnf_transformation,[],[f98])). 2.94/3.19 fof(f122,plain,( 2.94/3.19 ( ! [X0,X1] : (~sP0(X0,X1) | ~d(X1) | d(X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f98])). 2.94/3.19 fof(f123,plain,( 2.94/3.19 ( ! [X0,X1] : (sP0(X0,X1) | forallprefers(X0,X1)) )), 2.94/3.19 inference(cnf_transformation,[],[f89])). 2.94/3.19 fof(f124,plain,( 2.94/3.19 ( ! [X2,X0,X1] : (lazy_impl(prop(X2),impl(impl(X0,X2),impl(impl(X1,X2),X2))) = f3(X0,X1,X2)) )), 2.94/3.19 inference(cnf_transformation,[],[f56])). 2.94/3.19 fof(f125,plain,( 2.94/3.19 ( ! [X0] : (~bool(X0) | false = X0 | true = X0) )), 2.94/3.19 inference(cnf_transformation,[],[f100])). 2.94/3.19 fof(f126,plain,( 2.94/3.19 ( ! [X0] : (bool(X0) | false != X0) )), 2.94/3.19 inference(cnf_transformation,[],[f100])). 2.94/3.19 fof(f127,plain,( 2.94/3.19 ( ! [X0] : (bool(X0) | true != X0) )), 2.94/3.19 inference(cnf_transformation,[],[f100])). 2.94/3.19 fof(f128,plain,( 2.94/3.19 ( ! [X0] : (~bool(X0) | true = impl(false,X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f81])). 2.94/3.19 fof(f129,plain,( 2.94/3.19 ( ! [X0] : (~bool(X0) | impl(true,X0) = X0) )), 2.94/3.19 inference(cnf_transformation,[],[f82])). 2.94/3.19 fof(f130,plain,( 2.94/3.19 ( ! [X0] : (phi(X0) = lazy_impl(true,X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f59])). 2.94/3.19 fof(f131,plain,( 2.94/3.19 ( ! [X0] : (true = lazy_impl(false,X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f60])). 2.94/3.19 fof(f132,plain,( 2.94/3.19 ( ! [X0] : (false != prop(X0) | ~bool(X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f101])). 2.94/3.19 fof(f133,plain,( 2.94/3.19 ( ! [X0] : (bool(X0) | false = prop(X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f101])). 2.94/3.19 fof(f138,plain,( 2.94/3.19 ( ! [X0] : (phi(X0) = X0 | ~sP2(X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f103])). 2.94/3.19 fof(f139,plain,( 2.94/3.19 ( ! [X0] : (~sP2(X0) | d(X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f103])). 2.94/3.19 fof(f140,plain,( 2.94/3.19 ( ! [X0] : (phi(X0) = err | sP2(X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f93])). 2.94/3.19 fof(f141,plain,( 2.94/3.19 ( ! [X0] : (sP2(X0) | ~d(X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f93])). 2.94/3.19 fof(f142,plain,( 2.94/3.19 d(true)), 2.94/3.19 inference(cnf_transformation,[],[f23])). 2.94/3.19 fof(f143,plain,( 2.94/3.19 d(false)), 2.94/3.19 inference(cnf_transformation,[],[f23])). 2.94/3.19 fof(f144,plain,( 2.94/3.19 d(err)), 2.94/3.19 inference(cnf_transformation,[],[f23])). 2.94/3.19 fof(f146,plain,( 2.94/3.19 ( ! [X0] : (~bool(X0) | true = prop(X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f104])). 2.94/3.19 fof(f147,plain,( 2.94/3.19 ( ! [X0] : (bool(X0) | true != prop(X0)) )), 2.94/3.19 inference(cnf_transformation,[],[f104])). 2.94/3.19 fof(f150,plain,( 2.94/3.19 false != true), 2.94/3.19 inference(cnf_transformation,[],[f40])). 2.94/3.19 fof(f151,plain,( 2.94/3.19 true != err), 2.94/3.19 inference(cnf_transformation,[],[f40])). 2.94/3.19 fof(f152,plain,( 2.94/3.19 false != err), 2.94/3.19 inference(cnf_transformation,[],[f40])). 2.94/3.19 fof(f159,plain,( 2.94/3.19 ( ! [X0,X1] : (lazy_impl(true,lazy_impl(prop(sK5(X0,X1)),impl(impl(X0,sK5(X0,X1)),impl(impl(X1,sK5(X0,X1)),sK5(X0,X1))))) = or2(X0,X1)) )), 2.94/3.19 inference(definition_unfolding,[],[f113,f130,f124])). 2.94/3.19 fof(f164,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(prop(sK5(sK3,sK4)),impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4))))) != or1(sK3,sK4)), 2.94/3.19 inference(definition_unfolding,[],[f111,f159])). 2.94/3.19 fof(f165,plain,( 2.94/3.19 ( ! [X0,X3,X1] : (~forallprefers(lazy_impl(prop(X3),impl(impl(X0,X3),impl(impl(X1,X3),X3))),lazy_impl(prop(sK5(X0,X1)),impl(impl(X0,sK5(X0,X1)),impl(impl(X1,sK5(X0,X1)),sK5(X0,X1)))))) )), 2.94/3.19 inference(definition_unfolding,[],[f112,f124,f124])). 2.94/3.19 fof(f166,plain,( 2.94/3.19 ( ! [X0,X1] : (~bool(X0) | lazy_impl(true,X1) = or1(X0,X1) | bool(X1)) )), 2.94/3.19 inference(definition_unfolding,[],[f114,f130])). 2.94/3.19 fof(f167,plain,( 2.94/3.19 ( ! [X0,X1] : (bool(X0) | lazy_impl(true,X0) = or1(X0,X1)) )), 2.94/3.19 inference(definition_unfolding,[],[f115,f130])). 2.94/3.19 fof(f168,plain,( 2.94/3.19 ( ! [X0,X1] : (~bool(X0) | lazy_impl(true,X1) = impl(X0,X1) | bool(X1)) )), 2.94/3.19 inference(definition_unfolding,[],[f118,f130])). 2.94/3.19 fof(f169,plain,( 2.94/3.19 ( ! [X0,X1] : (bool(X0) | lazy_impl(true,X0) = impl(X0,X1)) )), 2.94/3.19 inference(definition_unfolding,[],[f119,f130])). 2.94/3.19 fof(f170,plain,( 2.94/3.19 ( ! [X0] : (~sP2(X0) | lazy_impl(true,X0) = X0) )), 2.94/3.19 inference(definition_unfolding,[],[f138,f130])). 2.94/3.19 fof(f171,plain,( 2.94/3.19 ( ! [X0] : (sP2(X0) | err = lazy_impl(true,X0)) )), 2.94/3.19 inference(definition_unfolding,[],[f140,f130])). 2.94/3.19 fof(f175,plain,( 2.94/3.19 ( ! [X1] : (true != X1 | ~sP0(false,X1)) )), 2.94/3.19 inference(equality_resolution,[],[f121])). 2.94/3.19 fof(f176,plain,( 2.94/3.19 ~sP0(false,true)), 2.94/3.19 inference(equality_resolution,[],[f175])). 2.94/3.19 fof(f177,plain,( 2.94/3.19 bool(true)), 2.94/3.19 inference(equality_resolution,[],[f127])). 2.94/3.19 fof(f178,plain,( 2.94/3.19 bool(false)), 2.94/3.19 inference(equality_resolution,[],[f126])). 2.94/3.19 fof(f181,plain,( 2.94/3.19 ( ! [X0,X1] : (~sP0(X0,X1) | ~bool(X1) | ~d(X1) | bool(X0)) )), 2.94/3.19 inference(subsumption_resolution,[],[f120,f122])). 2.94/3.19 fof(f183,plain,( 2.94/3.19 forallprefers(false,true)), 2.94/3.19 inference(resolution,[],[f123,f176])). 2.94/3.19 fof(f185,plain,( 2.94/3.19 true = prop(true)), 2.94/3.19 inference(resolution,[],[f146,f177])). 2.94/3.19 fof(f186,plain,( 2.94/3.19 true = prop(false)), 2.94/3.19 inference(resolution,[],[f146,f178])). 2.94/3.19 fof(f187,plain,( 2.94/3.19 ( ! [X0] : (true = prop(X0) | false = prop(X0)) )), 2.94/3.19 inference(resolution,[],[f146,f133])). 2.94/3.19 fof(f191,plain,( 2.94/3.19 true = or1(true,true)), 2.94/3.19 inference(resolution,[],[f116,f177])). 2.94/3.19 fof(f192,plain,( 2.94/3.19 true = or1(true,false)), 2.94/3.19 inference(resolution,[],[f116,f178])). 2.94/3.19 fof(f195,plain,( 2.94/3.19 true = or1(false,true)), 2.94/3.19 inference(resolution,[],[f117,f177])). 2.94/3.19 fof(f196,plain,( 2.94/3.19 false = or1(false,false)), 2.94/3.19 inference(resolution,[],[f117,f178])). 2.94/3.19 fof(f199,plain,( 2.94/3.19 ( ! [X0,X1] : (forallprefers(X1,X0) | d(X1) | ~d(X0)) )), 2.94/3.19 inference(resolution,[],[f122,f123])). 2.94/3.19 fof(f200,plain,( 2.94/3.19 true = impl(false,true)), 2.94/3.19 inference(resolution,[],[f128,f177])). 2.94/3.19 fof(f201,plain,( 2.94/3.19 true = impl(false,false)), 2.94/3.19 inference(resolution,[],[f128,f178])). 2.94/3.19 fof(f202,plain,( 2.94/3.19 ( ! [X0] : (true = impl(false,X0) | true != prop(X0)) )), 2.94/3.19 inference(resolution,[],[f128,f147])). 2.94/3.19 fof(f204,plain,( 2.94/3.19 true = impl(true,true)), 2.94/3.19 inference(resolution,[],[f129,f177])). 2.94/3.19 fof(f205,plain,( 2.94/3.19 false = impl(true,false)), 2.94/3.19 inference(resolution,[],[f129,f178])). 2.94/3.19 fof(f206,plain,( 2.94/3.19 ( ! [X0] : (impl(true,X0) = X0 | true != prop(X0)) )), 2.94/3.19 inference(resolution,[],[f129,f147])). 2.94/3.19 fof(f207,plain,( 2.94/3.19 ( ! [X1] : (impl(true,X1) = X1 | false = prop(X1)) )), 2.94/3.19 inference(resolution,[],[f129,f133])). 2.94/3.19 fof(f209,plain,( 2.94/3.19 ( ! [X0] : (~d(X0) | lazy_impl(true,X0) = X0) )), 2.94/3.19 inference(resolution,[],[f170,f141])). 2.94/3.19 fof(f210,plain,( 2.94/3.19 ( ! [X0] : (err = lazy_impl(true,X0) | lazy_impl(true,X0) = X0) )), 2.94/3.19 inference(resolution,[],[f171,f170])). 2.94/3.19 fof(f211,plain,( 2.94/3.19 ( ! [X1] : (d(X1) | err = lazy_impl(true,X1)) )), 2.94/3.19 inference(resolution,[],[f171,f139])). 2.94/3.19 fof(f212,plain,( 2.94/3.19 true = lazy_impl(true,true)), 2.94/3.19 inference(resolution,[],[f209,f142])). 2.94/3.19 fof(f213,plain,( 2.94/3.19 false = lazy_impl(true,false)), 2.94/3.19 inference(resolution,[],[f209,f143])). 2.94/3.19 fof(f214,plain,( 2.94/3.19 err = lazy_impl(true,err)), 2.94/3.19 inference(resolution,[],[f209,f144])). 2.94/3.19 fof(f218,plain,( 2.94/3.19 ( ! [X0] : (true != prop(X0) | true = X0 | false = X0) )), 2.94/3.19 inference(resolution,[],[f125,f147])). 2.94/3.19 fof(f219,plain,( 2.94/3.19 ( ! [X1] : (false = prop(X1) | true = X1 | false = X1) )), 2.94/3.19 inference(resolution,[],[f125,f133])). 2.94/3.19 fof(f231,plain,( 2.94/3.19 ( ! [X4,X5] : (lazy_impl(true,X4) = impl(X4,X5) | true = impl(false,X4)) )), 2.94/3.19 inference(resolution,[],[f169,f128])). 2.94/3.19 fof(f233,plain,( 2.94/3.19 ( ! [X8,X9] : (lazy_impl(true,X8) = impl(X8,X9) | true = or1(true,X8)) )), 2.94/3.19 inference(resolution,[],[f169,f116])). 2.94/3.19 fof(f234,plain,( 2.94/3.19 ( ! [X10,X11] : (lazy_impl(true,X10) = impl(X10,X11) | true = prop(X10)) )), 2.94/3.19 inference(resolution,[],[f169,f146])). 2.94/3.19 fof(f241,plain,( 2.94/3.19 ( ! [X0,X1] : (forallprefers(X1,X0) | ~d(X0) | bool(X1) | ~bool(X0)) )), 2.94/3.19 inference(resolution,[],[f181,f123])). 2.94/3.19 fof(f245,plain,( 2.94/3.19 ( ! [X0] : (bool(X0) | lazy_impl(true,X0) = or1(true,X0)) )), 2.94/3.19 inference(resolution,[],[f166,f177])). 2.94/3.19 fof(f246,plain,( 2.94/3.19 ( ! [X1] : (bool(X1) | lazy_impl(true,X1) = or1(false,X1)) )), 2.94/3.19 inference(resolution,[],[f166,f178])). 2.94/3.19 fof(f257,plain,( 2.94/3.19 ( ! [X5] : (lazy_impl(true,X5) = or1(true,X5) | true = prop(X5)) )), 2.94/3.19 inference(resolution,[],[f245,f146])). 2.94/3.19 fof(f291,plain,( 2.94/3.19 ( ! [X0] : (bool(X0) | lazy_impl(true,X0) = impl(true,X0)) )), 2.94/3.19 inference(resolution,[],[f168,f177])). 2.94/3.19 fof(f292,plain,( 2.94/3.19 ( ! [X1] : (bool(X1) | lazy_impl(true,X1) = impl(false,X1)) )), 2.94/3.19 inference(resolution,[],[f168,f178])). 2.94/3.19 fof(f305,plain,( 2.94/3.19 ( ! [X5] : (lazy_impl(true,X5) = impl(true,X5) | true = prop(X5)) )), 2.94/3.19 inference(resolution,[],[f291,f146])). 2.94/3.19 fof(f651,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(false,impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4))))) != or1(sK3,sK4) | true = sK5(sK3,sK4) | false = sK5(sK3,sK4)), 2.94/3.19 inference(superposition,[],[f164,f219])). 2.94/3.19 fof(f652,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4))))) != or1(sK3,sK4) | false = prop(sK5(sK3,sK4))), 2.94/3.19 inference(superposition,[],[f164,f187])). 2.94/3.19 fof(f659,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(prop(sK5(sK3,sK4)),impl(impl(sK3,sK5(sK3,sK4)),lazy_impl(true,impl(sK4,sK5(sK3,sK4)))))) != or1(sK3,sK4) | true = impl(false,impl(sK4,sK5(sK3,sK4)))), 2.94/3.19 inference(superposition,[],[f164,f231])). 2.94/3.19 fof(f661,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(prop(sK5(sK3,sK4)),impl(impl(sK3,sK5(sK3,sK4)),lazy_impl(true,impl(sK4,sK5(sK3,sK4)))))) != or1(sK3,sK4) | true = prop(impl(sK4,sK5(sK3,sK4)))), 2.94/3.19 inference(superposition,[],[f164,f234])). 2.94/3.19 fof(f668,plain,( 2.94/3.19 lazy_impl(prop(sK5(sK3,sK4)),impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4)))) != or1(sK3,sK4) | err = lazy_impl(true,lazy_impl(prop(sK5(sK3,sK4)),impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4)))))), 2.94/3.19 inference(superposition,[],[f164,f210])). 2.94/3.19 fof(f673,plain,( 2.94/3.19 lazy_impl(true,true) != or1(sK3,sK4) | true = sK5(sK3,sK4) | false = sK5(sK3,sK4)), 2.94/3.19 inference(forward_demodulation,[],[f651,f131])). 2.94/3.19 fof(f674,plain,( 2.94/3.19 true != or1(sK3,sK4) | true = sK5(sK3,sK4) | false = sK5(sK3,sK4)), 2.94/3.19 inference(forward_demodulation,[],[f673,f212])). 2.94/3.19 fof(f675,plain,( 2.94/3.19 lazy_impl(prop(sK5(sK3,sK4)),impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4)))) != or1(sK3,sK4) | err = lazy_impl(true,or1(sK3,sK4))), 2.94/3.19 inference(inner_rewriting,[],[f668])). 2.94/3.19 fof(f740,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(prop(sK5(sK3,sK4)),impl(impl(sK3,sK5(sK3,sK4)),lazy_impl(true,impl(sK4,sK5(sK3,sK4)))))) != or1(sK3,sK4) | true = or1(true,impl(sK4,sK5(sK3,sK4)))), 2.94/3.19 inference(superposition,[],[f164,f233])). 2.94/3.19 fof(f1016,plain,( 2.94/3.19 spl9_1 <=> err != lazy_impl(true,or1(sK3,sK4))), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_1])])). 2.94/3.19 fof(f1017,plain,( 2.94/3.19 err != lazy_impl(true,or1(sK3,sK4)) | ~spl9_1), 2.94/3.19 inference(avatar_component_clause,[],[f1016])). 2.94/3.19 fof(f1019,plain,( 2.94/3.19 spl9_0 <=> err = lazy_impl(true,or1(sK3,sK4))), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_0])])). 2.94/3.19 fof(f1020,plain,( 2.94/3.19 err = lazy_impl(true,or1(sK3,sK4)) | ~spl9_0), 2.94/3.19 inference(avatar_component_clause,[],[f1019])). 2.94/3.19 fof(f1022,plain,( 2.94/3.19 spl9_2 <=> lazy_impl(prop(sK5(sK3,sK4)),impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4)))) = or1(sK3,sK4)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_2])])). 2.94/3.19 fof(f1023,plain,( 2.94/3.19 lazy_impl(prop(sK5(sK3,sK4)),impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4)))) = or1(sK3,sK4) | ~spl9_2), 2.94/3.19 inference(avatar_component_clause,[],[f1022])). 2.94/3.19 fof(f1025,plain,( 2.94/3.19 spl9_3 <=> lazy_impl(prop(sK5(sK3,sK4)),impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4)))) != or1(sK3,sK4)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_3])])). 2.94/3.19 fof(f1026,plain,( 2.94/3.19 lazy_impl(prop(sK5(sK3,sK4)),impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4)))) != or1(sK3,sK4) | ~spl9_3), 2.94/3.19 inference(avatar_component_clause,[],[f1025])). 2.94/3.19 fof(f1027,plain,( 2.94/3.19 spl9_0 | ~spl9_3), 2.94/3.19 inference(avatar_split_clause,[],[f675,f1025,f1019])). 2.94/3.19 fof(f1073,plain,( 2.94/3.19 spl9_5 <=> true != prop(sK3)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_5])])). 2.94/3.19 fof(f1074,plain,( 2.94/3.19 true != prop(sK3) | ~spl9_5), 2.94/3.19 inference(avatar_component_clause,[],[f1073])). 2.94/3.19 fof(f1076,plain,( 2.94/3.19 spl9_4 <=> true = prop(sK3)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_4])])). 2.94/3.19 fof(f1077,plain,( 2.94/3.19 true = prop(sK3) | ~spl9_4), 2.94/3.19 inference(avatar_component_clause,[],[f1076])). 2.94/3.19 fof(f1079,plain,( 2.94/3.19 spl9_6 <=> err = lazy_impl(true,sK3)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_6])])). 2.94/3.19 fof(f1080,plain,( 2.94/3.19 err = lazy_impl(true,sK3) | ~spl9_6), 2.94/3.19 inference(avatar_component_clause,[],[f1079])). 2.94/3.19 fof(f1082,plain,( 2.94/3.19 spl9_7 <=> err != lazy_impl(true,sK3)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_7])])). 2.94/3.19 fof(f1083,plain,( 2.94/3.19 err != lazy_impl(true,sK3) | ~spl9_7), 2.94/3.19 inference(avatar_component_clause,[],[f1082])). 2.94/3.19 fof(f1089,plain,( 2.94/3.19 true != true | false = prop(sK3) | ~spl9_5), 2.94/3.19 inference(superposition,[],[f1074,f187])). 2.94/3.19 fof(f1090,plain,( 2.94/3.19 false = prop(sK3) | ~spl9_5), 2.94/3.19 inference(trivial_inequality_removal,[],[f1089])). 2.94/3.19 fof(f1095,plain,( 2.94/3.19 false != false | ~bool(sK3) | ~spl9_5), 2.94/3.19 inference(superposition,[],[f132,f1090])). 2.94/3.19 fof(f1096,plain,( 2.94/3.19 ~bool(sK3) | ~spl9_5), 2.94/3.19 inference(trivial_inequality_removal,[],[f1095])). 2.94/3.19 fof(f1099,plain,( 2.94/3.19 ( ! [X0] : (lazy_impl(true,sK3) = or1(sK3,X0)) ) | ~spl9_5), 2.94/3.19 inference(resolution,[],[f1096,f167])). 2.94/3.19 fof(f1100,plain,( 2.94/3.19 ( ! [X1] : (lazy_impl(true,sK3) = impl(sK3,X1)) ) | ~spl9_5), 2.94/3.19 inference(resolution,[],[f1096,f169])). 2.94/3.19 fof(f1108,plain,( 2.94/3.19 lazy_impl(true,sK3) != lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4))))) | false = prop(sK5(sK3,sK4)) | ~spl9_5), 2.94/3.19 inference(backward_demodulation,[],[f1099,f652])). 2.94/3.19 fof(f1141,plain,( 2.94/3.19 lazy_impl(true,sK3) != lazy_impl(true,lazy_impl(true,impl(lazy_impl(true,sK3),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4))))) | false = prop(sK5(sK3,sK4)) | ~spl9_5), 2.94/3.19 inference(backward_demodulation,[],[f1100,f1108])). 2.94/3.19 fof(f1181,plain,( 2.94/3.19 err != err | lazy_impl(true,sK3) = sK3 | ~spl9_7), 2.94/3.19 inference(superposition,[],[f1083,f210])). 2.94/3.19 fof(f1189,plain,( 2.94/3.19 lazy_impl(true,sK3) = sK3 | ~spl9_7), 2.94/3.19 inference(trivial_inequality_removal,[],[f1181])). 2.94/3.19 fof(f1197,plain,( 2.94/3.19 ( ! [X1] : (impl(sK3,X1) = sK3) ) | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(backward_demodulation,[],[f1189,f1100])). 2.94/3.19 fof(f1211,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(true,impl(sK3,impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4))))) != sK3 | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(backward_demodulation,[],[f1189,f1141])). 2.94/3.19 fof(f1234,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(true,sK3)) != sK3 | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(forward_demodulation,[],[f1211,f1197])). 2.94/3.19 fof(f1235,plain,( 2.94/3.19 lazy_impl(true,sK3) != sK3 | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(forward_demodulation,[],[f1234,f1189])). 2.94/3.19 fof(f1236,plain,( 2.94/3.19 false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(subsumption_resolution,[],[f1235,f1189])). 2.94/3.19 fof(f1317,plain,( 2.94/3.19 spl9_9 <=> true != or1(true,err)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_9])])). 2.94/3.19 fof(f1318,plain,( 2.94/3.19 true != or1(true,err) | ~spl9_9), 2.94/3.19 inference(avatar_component_clause,[],[f1317])). 2.94/3.19 fof(f1320,plain,( 2.94/3.19 spl9_8 <=> true = or1(true,err)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_8])])). 2.94/3.19 fof(f1321,plain,( 2.94/3.19 true = or1(true,err) | ~spl9_8), 2.94/3.19 inference(avatar_component_clause,[],[f1320])). 2.94/3.19 fof(f1714,plain,( 2.94/3.19 spl9_17 <=> err != impl(true,err)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_17])])). 2.94/3.19 fof(f1715,plain,( 2.94/3.19 err != impl(true,err) | ~spl9_17), 2.94/3.19 inference(avatar_component_clause,[],[f1714])). 2.94/3.19 fof(f1717,plain,( 2.94/3.19 spl9_16 <=> err = impl(true,err)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_16])])). 2.94/3.19 fof(f1718,plain,( 2.94/3.19 err = impl(true,err) | ~spl9_16), 2.94/3.19 inference(avatar_component_clause,[],[f1717])). 2.94/3.19 fof(f1755,plain,( 2.94/3.19 true = lazy_impl(true,err) | true = prop(err) | ~spl9_8), 2.94/3.19 inference(superposition,[],[f1321,f257])). 2.94/3.19 fof(f1795,plain,( 2.94/3.19 err != lazy_impl(true,err) | true = prop(err) | ~spl9_17), 2.94/3.19 inference(superposition,[],[f1715,f305])). 2.94/3.19 fof(f1796,plain,( 2.94/3.19 err != err | false = prop(err) | ~spl9_17), 2.94/3.19 inference(superposition,[],[f1715,f207])). 2.94/3.19 fof(f1804,plain,( 2.94/3.19 false = prop(err) | ~spl9_17), 2.94/3.19 inference(trivial_inequality_removal,[],[f1796])). 2.94/3.19 fof(f1811,plain,( 2.94/3.19 true = prop(err) | ~spl9_17), 2.94/3.19 inference(subsumption_resolution,[],[f1795,f214])). 2.94/3.19 fof(f1812,plain,( 2.94/3.19 false = true | ~spl9_17), 2.94/3.19 inference(backward_demodulation,[],[f1804,f1811])). 2.94/3.19 fof(f1813,plain,( 2.94/3.19 $false | ~spl9_17), 2.94/3.19 inference(subsumption_resolution,[],[f1812,f150])). 2.94/3.19 fof(f1814,plain,( 2.94/3.19 spl9_17), 2.94/3.19 inference(avatar_contradiction_clause,[],[f1813])). 2.94/3.19 fof(f1829,plain,( 2.94/3.19 spl9_19 <=> true != prop(err)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_19])])). 2.94/3.19 fof(f1830,plain,( 2.94/3.19 true != prop(err) | ~spl9_19), 2.94/3.19 inference(avatar_component_clause,[],[f1829])). 2.94/3.19 fof(f1832,plain,( 2.94/3.19 spl9_18 <=> true = prop(err)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_18])])). 2.94/3.19 fof(f1833,plain,( 2.94/3.19 true = prop(err) | ~spl9_18), 2.94/3.19 inference(avatar_component_clause,[],[f1832])). 2.94/3.19 fof(f1838,plain,( 2.94/3.19 spl9_20 <=> true = lazy_impl(true,err)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_20])])). 2.94/3.19 fof(f1839,plain,( 2.94/3.19 true = lazy_impl(true,err) | ~spl9_20), 2.94/3.19 inference(avatar_component_clause,[],[f1838])). 2.94/3.19 fof(f1840,plain,( 2.94/3.19 spl9_18 | spl9_20 | ~spl9_8), 2.94/3.19 inference(avatar_split_clause,[],[f1755,f1320,f1838,f1832])). 2.94/3.19 fof(f1881,plain,( 2.94/3.19 true = err | ~spl9_20), 2.94/3.19 inference(backward_demodulation,[],[f1839,f214])). 2.94/3.19 fof(f1882,plain,( 2.94/3.19 $false | ~spl9_20), 2.94/3.19 inference(subsumption_resolution,[],[f1881,f151])). 2.94/3.19 fof(f1883,plain,( 2.94/3.19 ~spl9_20), 2.94/3.19 inference(avatar_contradiction_clause,[],[f1882])). 2.94/3.19 fof(f1886,plain,( 2.94/3.19 true != true | true = err | false = err | ~spl9_18), 2.94/3.19 inference(superposition,[],[f218,f1833])). 2.94/3.19 fof(f1888,plain,( 2.94/3.19 true = err | false = err | ~spl9_18), 2.94/3.19 inference(trivial_inequality_removal,[],[f1886])). 2.94/3.19 fof(f1897,plain,( 2.94/3.19 false = err | ~spl9_18), 2.94/3.19 inference(subsumption_resolution,[],[f1888,f151])). 2.94/3.19 fof(f1898,plain,( 2.94/3.19 $false | ~spl9_18), 2.94/3.19 inference(subsumption_resolution,[],[f1897,f152])). 2.94/3.19 fof(f1899,plain,( 2.94/3.19 ~spl9_18), 2.94/3.19 inference(avatar_contradiction_clause,[],[f1898])). 2.94/3.19 fof(f1901,plain,( 2.94/3.19 true != true | false = prop(err) | ~spl9_19), 2.94/3.19 inference(superposition,[],[f1830,f187])). 2.94/3.19 fof(f1902,plain,( 2.94/3.19 false = prop(err) | ~spl9_19), 2.94/3.19 inference(trivial_inequality_removal,[],[f1901])). 2.94/3.19 fof(f1907,plain,( 2.94/3.19 false != false | ~bool(err) | ~spl9_19), 2.94/3.19 inference(superposition,[],[f132,f1902])). 2.94/3.19 fof(f1908,plain,( 2.94/3.19 ~bool(err) | ~spl9_19), 2.94/3.19 inference(trivial_inequality_removal,[],[f1907])). 2.94/3.19 fof(f1912,plain,( 2.94/3.19 ( ! [X1] : (lazy_impl(true,err) = impl(err,X1)) ) | ~spl9_19), 2.94/3.19 inference(resolution,[],[f1908,f169])). 2.94/3.19 fof(f1917,plain,( 2.94/3.19 lazy_impl(true,err) = impl(false,err) | ~spl9_19), 2.94/3.19 inference(resolution,[],[f1908,f292])). 2.94/3.19 fof(f1920,plain,( 2.94/3.19 ( ! [X1] : (err = impl(err,X1)) ) | ~spl9_19), 2.94/3.19 inference(forward_demodulation,[],[f1912,f214])). 2.94/3.19 fof(f1925,plain,( 2.94/3.19 err = impl(false,err) | ~spl9_19), 2.94/3.19 inference(forward_demodulation,[],[f1917,f214])). 2.94/3.19 fof(f1980,plain,( 2.94/3.19 spl9_25 <=> true != sK5(true,sK4)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_25])])). 2.94/3.19 fof(f1981,plain,( 2.94/3.19 true != sK5(true,sK4) | ~spl9_25), 2.94/3.19 inference(avatar_component_clause,[],[f1980])). 2.94/3.19 fof(f1983,plain,( 2.94/3.19 spl9_24 <=> true = sK5(true,sK4)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_24])])). 2.94/3.19 fof(f1984,plain,( 2.94/3.19 true = sK5(true,sK4) | ~spl9_24), 2.94/3.19 inference(avatar_component_clause,[],[f1983])). 2.94/3.19 fof(f1986,plain,( 2.94/3.19 spl9_26 <=> true = sK3), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_26])])). 2.94/3.19 fof(f1987,plain,( 2.94/3.19 true = sK3 | ~spl9_26), 2.94/3.19 inference(avatar_component_clause,[],[f1986])). 2.94/3.19 fof(f1989,plain,( 2.94/3.19 spl9_27 <=> true != sK3), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_27])])). 2.94/3.19 fof(f1990,plain,( 2.94/3.19 true != sK3 | ~spl9_27), 2.94/3.19 inference(avatar_component_clause,[],[f1989])). 2.94/3.19 fof(f2150,plain,( 2.94/3.19 ( ! [X54,X53] : (~forallprefers(lazy_impl(prop(X53),impl(err,impl(impl(X54,X53),X53))),lazy_impl(prop(sK5(err,X54)),impl(impl(err,sK5(err,X54)),impl(impl(X54,sK5(err,X54)),sK5(err,X54)))))) ) | ~spl9_19), 2.94/3.19 inference(superposition,[],[f165,f1920])). 2.94/3.19 fof(f2196,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(sK3,X0),impl(impl(sK4,X0),X0))),lazy_impl(false,impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4)))))) ) | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(superposition,[],[f165,f1236])). 2.94/3.19 fof(f2209,plain,( 2.94/3.19 ( ! [X28,X29] : (~forallprefers(lazy_impl(prop(X29),impl(impl(false,X29),impl(impl(X28,X29),X29))),lazy_impl(prop(sK5(false,X28)),impl(true,impl(impl(X28,sK5(false,X28)),sK5(false,X28))))) | true != prop(sK5(false,X28))) )), 2.94/3.19 inference(superposition,[],[f165,f202])). 2.94/3.19 fof(f2276,plain,( 2.94/3.19 ( ! [X54,X53] : (~forallprefers(lazy_impl(prop(X53),impl(err,impl(impl(X54,X53),X53))),lazy_impl(prop(sK5(err,X54)),impl(err,impl(impl(X54,sK5(err,X54)),sK5(err,X54)))))) ) | ~spl9_19), 2.94/3.19 inference(forward_demodulation,[],[f2150,f1920])). 2.94/3.19 fof(f2277,plain,( 2.94/3.19 ( ! [X54,X53] : (~forallprefers(lazy_impl(prop(X53),impl(err,impl(impl(X54,X53),X53))),lazy_impl(prop(sK5(err,X54)),err))) ) | ~spl9_19), 2.94/3.19 inference(forward_demodulation,[],[f2276,f1920])). 2.94/3.19 fof(f2278,plain,( 2.94/3.19 ( ! [X54,X53] : (~forallprefers(lazy_impl(prop(X53),err),lazy_impl(prop(sK5(err,X54)),err))) ) | ~spl9_19), 2.94/3.19 inference(forward_demodulation,[],[f2277,f1920])). 2.94/3.19 fof(f2310,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(sK3,X0),impl(impl(sK4,X0),X0))),true)) ) | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(forward_demodulation,[],[f2196,f131])). 2.94/3.19 fof(f2311,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(sK3,impl(impl(sK4,X0),X0))),true)) ) | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(forward_demodulation,[],[f2310,f1197])). 2.94/3.19 fof(f2312,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),sK3),true)) ) | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(forward_demodulation,[],[f2311,f1197])). 2.94/3.19 fof(f2314,plain,( 2.94/3.19 ( ! [X28,X29] : (true != prop(sK5(false,X28)) | ~forallprefers(lazy_impl(prop(X29),impl(impl(false,X29),impl(impl(X28,X29),X29))),lazy_impl(true,impl(true,impl(impl(X28,sK5(false,X28)),sK5(false,X28)))))) )), 2.94/3.19 inference(inner_rewriting,[],[f2209])). 2.94/3.19 fof(f2334,plain,( 2.94/3.19 ~forallprefers(lazy_impl(true,sK3),true) | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(superposition,[],[f2312,f186])). 2.94/3.19 fof(f2351,plain,( 2.94/3.19 ~forallprefers(sK3,true) | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(forward_demodulation,[],[f2334,f1189])). 2.94/3.19 fof(f2356,plain,( 2.94/3.19 ~d(true) | bool(sK3) | ~bool(true) | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(resolution,[],[f2351,f241])). 2.94/3.19 fof(f2358,plain,( 2.94/3.19 bool(sK3) | ~bool(true) | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(subsumption_resolution,[],[f2356,f142])). 2.94/3.19 fof(f2359,plain,( 2.94/3.19 ~bool(true) | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(subsumption_resolution,[],[f2358,f1096])). 2.94/3.19 fof(f2360,plain,( 2.94/3.19 $false | (~spl9_5 | ~spl9_7)), 2.94/3.19 inference(subsumption_resolution,[],[f2359,f177])). 2.94/3.19 fof(f2361,plain,( 2.94/3.19 spl9_5 | spl9_7), 2.94/3.19 inference(avatar_contradiction_clause,[],[f2360])). 2.94/3.19 fof(f2378,plain,( 2.94/3.19 false = true | true = sK3 | false = sK3 | ~spl9_4), 2.94/3.19 inference(superposition,[],[f1077,f219])). 2.94/3.19 fof(f2381,plain,( 2.94/3.19 true != true | true = sK3 | false = sK3 | ~spl9_4), 2.94/3.19 inference(superposition,[],[f218,f1077])). 2.94/3.19 fof(f2383,plain,( 2.94/3.19 true = sK3 | false = sK3 | ~spl9_4), 2.94/3.19 inference(trivial_inequality_removal,[],[f2381])). 2.94/3.19 fof(f2384,plain,( 2.94/3.19 true = sK3 | false = sK3 | ~spl9_4), 2.94/3.19 inference(subsumption_resolution,[],[f2378,f150])). 2.94/3.19 fof(f2385,plain,( 2.94/3.19 false = sK3 | (~spl9_4 | ~spl9_27)), 2.94/3.19 inference(subsumption_resolution,[],[f2384,f1990])). 2.94/3.19 fof(f2411,plain,( 2.94/3.19 lazy_impl(prop(sK5(false,sK4)),impl(impl(false,sK5(false,sK4)),impl(impl(sK4,sK5(false,sK4)),sK5(false,sK4)))) != or1(false,sK4) | (~spl9_3 | ~spl9_4 | ~spl9_27)), 2.94/3.19 inference(backward_demodulation,[],[f2385,f1026])). 2.94/3.19 fof(f2515,plain,( 2.94/3.19 lazy_impl(prop(sK5(false,sK4)),impl(true,impl(impl(sK4,sK5(false,sK4)),sK5(false,sK4)))) != or1(false,sK4) | true != prop(sK5(false,sK4)) | (~spl9_3 | ~spl9_4 | ~spl9_27)), 2.94/3.19 inference(superposition,[],[f2411,f202])). 2.94/3.19 fof(f2544,plain,( 2.94/3.19 lazy_impl(true,impl(true,impl(impl(sK4,sK5(false,sK4)),sK5(false,sK4)))) != or1(false,sK4) | true != prop(sK5(false,sK4)) | (~spl9_3 | ~spl9_4 | ~spl9_27)), 2.94/3.19 inference(inner_rewriting,[],[f2515])). 2.94/3.19 fof(f2600,plain,( 2.94/3.19 spl9_29 <=> false != prop(sK4)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_29])])). 2.94/3.19 fof(f2601,plain,( 2.94/3.19 false != prop(sK4) | ~spl9_29), 2.94/3.19 inference(avatar_component_clause,[],[f2600])). 2.94/3.19 fof(f2603,plain,( 2.94/3.19 spl9_28 <=> false = prop(sK4)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_28])])). 2.94/3.19 fof(f2604,plain,( 2.94/3.19 false = prop(sK4) | ~spl9_28), 2.94/3.19 inference(avatar_component_clause,[],[f2603])). 2.94/3.19 fof(f2606,plain,( 2.94/3.19 spl9_30 <=> err = lazy_impl(true,sK4)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_30])])). 2.94/3.19 fof(f2607,plain,( 2.94/3.19 err = lazy_impl(true,sK4) | ~spl9_30), 2.94/3.19 inference(avatar_component_clause,[],[f2606])). 2.94/3.19 fof(f2609,plain,( 2.94/3.19 spl9_31 <=> err != lazy_impl(true,sK4)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_31])])). 2.94/3.19 fof(f2610,plain,( 2.94/3.19 err != lazy_impl(true,sK4) | ~spl9_31), 2.94/3.19 inference(avatar_component_clause,[],[f2609])). 2.94/3.19 fof(f2612,plain,( 2.94/3.19 false != false | true = sK4 | false = sK4 | ~spl9_29), 2.94/3.19 inference(superposition,[],[f2601,f219])). 2.94/3.19 fof(f2614,plain,( 2.94/3.19 true = sK4 | false = sK4 | ~spl9_29), 2.94/3.19 inference(trivial_inequality_removal,[],[f2612])). 2.94/3.19 fof(f2619,plain,( 2.94/3.19 spl9_32 <=> false = sK4), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_32])])). 2.94/3.19 fof(f2620,plain,( 2.94/3.19 false = sK4 | ~spl9_32), 2.94/3.19 inference(avatar_component_clause,[],[f2619])). 2.94/3.19 fof(f2622,plain,( 2.94/3.19 spl9_35 <=> true != sK4), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_35])])). 2.94/3.19 fof(f2623,plain,( 2.94/3.19 true != sK4 | ~spl9_35), 2.94/3.19 inference(avatar_component_clause,[],[f2622])). 2.94/3.19 fof(f2625,plain,( 2.94/3.19 spl9_34 <=> true = sK4), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_34])])). 2.94/3.19 fof(f2626,plain,( 2.94/3.19 true = sK4 | ~spl9_34), 2.94/3.19 inference(avatar_component_clause,[],[f2625])). 2.94/3.19 fof(f2627,plain,( 2.94/3.19 spl9_32 | spl9_34 | spl9_29), 2.94/3.19 inference(avatar_split_clause,[],[f2614,f2600,f2625,f2619])). 2.94/3.19 fof(f2634,plain,( 2.94/3.19 spl9_36 <=> true = prop(sK5(false,sK4))), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_36])])). 2.94/3.19 fof(f2635,plain,( 2.94/3.19 true = prop(sK5(false,sK4)) | ~spl9_36), 2.94/3.19 inference(avatar_component_clause,[],[f2634])). 2.94/3.19 fof(f2637,plain,( 2.94/3.19 spl9_37 <=> true != prop(sK5(false,sK4))), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_37])])). 2.94/3.19 fof(f2638,plain,( 2.94/3.19 true != prop(sK5(false,sK4)) | ~spl9_37), 2.94/3.19 inference(avatar_component_clause,[],[f2637])). 2.94/3.19 fof(f2643,plain,( 2.94/3.19 spl9_39 <=> lazy_impl(true,impl(true,impl(impl(sK4,sK5(false,sK4)),sK5(false,sK4)))) != or1(false,sK4)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_39])])). 2.94/3.19 fof(f2644,plain,( 2.94/3.19 lazy_impl(true,impl(true,impl(impl(sK4,sK5(false,sK4)),sK5(false,sK4)))) != or1(false,sK4) | ~spl9_39), 2.94/3.19 inference(avatar_component_clause,[],[f2643])). 2.94/3.19 fof(f2645,plain,( 2.94/3.19 ~spl9_37 | ~spl9_39 | spl9_3 | ~spl9_4 | spl9_27), 2.94/3.19 inference(avatar_split_clause,[],[f2544,f1989,f1076,f1025,f2643,f2637])). 2.94/3.19 fof(f2651,plain,( 2.94/3.19 false != false | ~bool(sK4) | ~spl9_28), 2.94/3.19 inference(superposition,[],[f132,f2604])). 2.94/3.19 fof(f2652,plain,( 2.94/3.19 ~bool(sK4) | ~spl9_28), 2.94/3.19 inference(trivial_inequality_removal,[],[f2651])). 2.94/3.19 fof(f2657,plain,( 2.94/3.19 ( ! [X1] : (lazy_impl(true,sK4) = impl(sK4,X1)) ) | ~spl9_28), 2.94/3.19 inference(resolution,[],[f2652,f169])). 2.94/3.19 fof(f2660,plain,( 2.94/3.19 lazy_impl(true,sK4) = or1(false,sK4) | ~spl9_28), 2.94/3.19 inference(resolution,[],[f2652,f246])). 2.94/3.19 fof(f2661,plain,( 2.94/3.19 lazy_impl(true,sK4) = impl(true,sK4) | ~spl9_28), 2.94/3.19 inference(resolution,[],[f2652,f291])). 2.94/3.19 fof(f2763,plain,( 2.94/3.19 lazy_impl(true,sK4) != lazy_impl(true,impl(true,impl(impl(sK4,sK5(false,sK4)),sK5(false,sK4)))) | (~spl9_28 | ~spl9_39)), 2.94/3.19 inference(forward_demodulation,[],[f2644,f2660])). 2.94/3.19 fof(f2764,plain,( 2.94/3.19 lazy_impl(true,sK4) != lazy_impl(true,impl(true,impl(lazy_impl(true,sK4),sK5(false,sK4)))) | (~spl9_28 | ~spl9_39)), 2.94/3.19 inference(backward_demodulation,[],[f2657,f2763])). 2.94/3.19 fof(f2877,plain,( 2.94/3.19 err != err | lazy_impl(true,sK4) = sK4 | ~spl9_31), 2.94/3.19 inference(superposition,[],[f2610,f210])). 2.94/3.19 fof(f2885,plain,( 2.94/3.19 lazy_impl(true,sK4) = sK4 | ~spl9_31), 2.94/3.19 inference(trivial_inequality_removal,[],[f2877])). 2.94/3.19 fof(f2887,plain,( 2.94/3.19 ( ! [X1] : (impl(sK4,X1) = sK4) ) | (~spl9_28 | ~spl9_31)), 2.94/3.19 inference(backward_demodulation,[],[f2885,f2657])). 2.94/3.19 fof(f2891,plain,( 2.94/3.19 impl(true,sK4) = sK4 | (~spl9_28 | ~spl9_31)), 2.94/3.19 inference(backward_demodulation,[],[f2885,f2661])). 2.94/3.19 fof(f2893,plain,( 2.94/3.19 lazy_impl(true,impl(true,impl(sK4,sK5(false,sK4)))) != sK4 | (~spl9_28 | ~spl9_31 | ~spl9_39)), 2.94/3.19 inference(backward_demodulation,[],[f2885,f2764])). 2.94/3.19 fof(f2915,plain,( 2.94/3.19 lazy_impl(true,impl(true,sK4)) != sK4 | (~spl9_28 | ~spl9_31 | ~spl9_39)), 2.94/3.19 inference(forward_demodulation,[],[f2893,f2887])). 2.94/3.19 fof(f2916,plain,( 2.94/3.19 lazy_impl(true,sK4) != sK4 | (~spl9_28 | ~spl9_31 | ~spl9_39)), 2.94/3.19 inference(forward_demodulation,[],[f2915,f2891])). 2.94/3.19 fof(f2917,plain,( 2.94/3.19 $false | (~spl9_28 | ~spl9_31 | ~spl9_39)), 2.94/3.19 inference(subsumption_resolution,[],[f2916,f2885])). 2.94/3.19 fof(f2918,plain,( 2.94/3.19 ~spl9_28 | spl9_31 | spl9_39), 2.94/3.19 inference(avatar_contradiction_clause,[],[f2917])). 2.94/3.19 fof(f2929,plain,( 2.94/3.19 err != lazy_impl(true,impl(true,impl(err,sK5(false,sK4)))) | (~spl9_28 | ~spl9_30 | ~spl9_39)), 2.94/3.19 inference(backward_demodulation,[],[f2607,f2764])). 2.94/3.19 fof(f2953,plain,( 2.94/3.19 err != lazy_impl(true,impl(true,err)) | (~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_39)), 2.94/3.19 inference(forward_demodulation,[],[f2929,f1920])). 2.94/3.19 fof(f2954,plain,( 2.94/3.19 err != lazy_impl(true,err) | (~spl9_16 | ~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_39)), 2.94/3.19 inference(forward_demodulation,[],[f2953,f1718])). 2.94/3.19 fof(f2955,plain,( 2.94/3.19 $false | (~spl9_16 | ~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_39)), 2.94/3.19 inference(subsumption_resolution,[],[f2954,f214])). 2.94/3.19 fof(f2956,plain,( 2.94/3.19 ~spl9_16 | spl9_19 | ~spl9_28 | ~spl9_30 | spl9_39), 2.94/3.19 inference(avatar_contradiction_clause,[],[f2955])). 2.94/3.19 fof(f3017,plain,( 2.94/3.19 err = lazy_impl(true,false) | (~spl9_30 | ~spl9_32)), 2.94/3.19 inference(backward_demodulation,[],[f2620,f2607])). 2.94/3.19 fof(f3049,plain,( 2.94/3.19 false = err | (~spl9_30 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f3017,f213])). 2.94/3.19 fof(f3050,plain,( 2.94/3.19 $false | (~spl9_30 | ~spl9_32)), 2.94/3.19 inference(subsumption_resolution,[],[f3049,f152])). 2.94/3.19 fof(f3051,plain,( 2.94/3.19 ~spl9_30 | ~spl9_32), 2.94/3.19 inference(avatar_contradiction_clause,[],[f3050])). 2.94/3.19 fof(f3108,plain,( 2.94/3.19 err = lazy_impl(true,true) | (~spl9_30 | ~spl9_34)), 2.94/3.19 inference(backward_demodulation,[],[f2626,f2607])). 2.94/3.19 fof(f3135,plain,( 2.94/3.19 true = err | (~spl9_30 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f3108,f212])). 2.94/3.19 fof(f3136,plain,( 2.94/3.19 $false | (~spl9_30 | ~spl9_34)), 2.94/3.19 inference(subsumption_resolution,[],[f3135,f151])). 2.94/3.19 fof(f3137,plain,( 2.94/3.19 ~spl9_30 | ~spl9_34), 2.94/3.19 inference(avatar_contradiction_clause,[],[f3136])). 2.94/3.19 fof(f3182,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(prop(sK5(sK3,false)),impl(impl(sK3,sK5(sK3,false)),impl(impl(false,sK5(sK3,false)),sK5(sK3,false))))) != or1(sK3,false) | ~spl9_32), 2.94/3.19 inference(backward_demodulation,[],[f2620,f164])). 2.94/3.19 fof(f3183,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,false)),impl(impl(false,sK5(sK3,false)),sK5(sK3,false))))) != or1(sK3,false) | false = prop(sK5(sK3,sK4)) | ~spl9_32), 2.94/3.19 inference(backward_demodulation,[],[f2620,f652])). 2.94/3.19 fof(f3195,plain,( 2.94/3.19 true != or1(sK3,false) | true = sK5(sK3,sK4) | false = sK5(sK3,sK4) | ~spl9_32), 2.94/3.19 inference(backward_demodulation,[],[f2620,f674])). 2.94/3.19 fof(f3211,plain,( 2.94/3.19 true != sK5(true,false) | (~spl9_25 | ~spl9_32)), 2.94/3.19 inference(backward_demodulation,[],[f2620,f1981])). 2.94/3.19 fof(f3216,plain,( 2.94/3.19 false != prop(false) | (~spl9_29 | ~spl9_32)), 2.94/3.19 inference(backward_demodulation,[],[f2620,f2601])). 2.94/3.19 fof(f3218,plain,( 2.94/3.19 true != prop(sK5(false,false)) | (~spl9_32 | ~spl9_37)), 2.94/3.19 inference(backward_demodulation,[],[f2620,f2638])). 2.94/3.19 fof(f3220,plain,( 2.94/3.19 false = prop(sK5(sK3,false)) | lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,false)),impl(impl(false,sK5(sK3,false)),sK5(sK3,false))))) != or1(sK3,false) | ~spl9_32), 2.94/3.19 inference(forward_demodulation,[],[f3183,f2620])). 2.94/3.19 fof(f3235,plain,( 2.94/3.19 true = sK5(sK3,false) | true != or1(sK3,false) | false = sK5(sK3,sK4) | ~spl9_32), 2.94/3.19 inference(forward_demodulation,[],[f3195,f2620])). 2.94/3.19 fof(f3236,plain,( 2.94/3.19 false = sK5(sK3,false) | true = sK5(sK3,false) | true != or1(sK3,false) | ~spl9_32), 2.94/3.19 inference(forward_demodulation,[],[f3235,f2620])). 2.94/3.19 fof(f3252,plain,( 2.94/3.19 false = sK3 | (~spl9_4 | ~spl9_27)), 2.94/3.19 inference(subsumption_resolution,[],[f2383,f1990])). 2.94/3.19 fof(f3259,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(prop(sK5(false,false)),impl(impl(false,sK5(false,false)),impl(impl(false,sK5(false,false)),sK5(false,false))))) != or1(false,false) | (~spl9_4 | ~spl9_27 | ~spl9_32)), 2.94/3.19 inference(backward_demodulation,[],[f3252,f3182])). 2.94/3.19 fof(f3287,plain,( 2.94/3.19 false != lazy_impl(true,lazy_impl(prop(sK5(false,false)),impl(impl(false,sK5(false,false)),impl(impl(false,sK5(false,false)),sK5(false,false))))) | (~spl9_4 | ~spl9_27 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f3259,f196])). 2.94/3.19 fof(f3342,plain,( 2.94/3.19 true != true | false = prop(sK5(false,false)) | (~spl9_32 | ~spl9_37)), 2.94/3.19 inference(superposition,[],[f3218,f187])). 2.94/3.19 fof(f3343,plain,( 2.94/3.19 false = prop(sK5(false,false)) | (~spl9_32 | ~spl9_37)), 2.94/3.19 inference(trivial_inequality_removal,[],[f3342])). 2.94/3.19 fof(f3395,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(impl(false,X0),X0))),lazy_impl(false,impl(impl(false,sK5(false,false)),impl(impl(false,sK5(false,false)),sK5(false,false)))))) ) | (~spl9_32 | ~spl9_37)), 2.94/3.19 inference(superposition,[],[f165,f3343])). 2.94/3.19 fof(f3401,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(impl(false,X0),X0))),true)) ) | (~spl9_32 | ~spl9_37)), 2.94/3.19 inference(forward_demodulation,[],[f3395,f131])). 2.94/3.19 fof(f3597,plain,( 2.94/3.19 ( ! [X2,X3] : (d(lazy_impl(prop(X2),err)) | ~d(lazy_impl(prop(sK5(err,X3)),err))) ) | ~spl9_19), 2.94/3.19 inference(resolution,[],[f2278,f199])). 2.94/3.19 fof(f3600,plain,( 2.94/3.19 ( ! [X4] : (~forallprefers(lazy_impl(true,err),lazy_impl(prop(sK5(err,X4)),err))) ) | ~spl9_19), 2.94/3.19 inference(superposition,[],[f2278,f186])). 2.94/3.19 fof(f3622,plain,( 2.94/3.19 ( ! [X4] : (~forallprefers(err,lazy_impl(prop(sK5(err,X4)),err))) ) | ~spl9_19), 2.94/3.19 inference(forward_demodulation,[],[f3600,f214])). 2.94/3.19 fof(f3628,plain,( 2.94/3.19 ( ! [X0] : (~d(lazy_impl(prop(sK5(err,X0)),err)) | bool(err) | ~bool(lazy_impl(prop(sK5(err,X0)),err))) ) | ~spl9_19), 2.94/3.19 inference(resolution,[],[f3622,f241])). 2.94/3.19 fof(f3639,plain,( 2.94/3.19 ( ! [X0] : (~d(lazy_impl(prop(sK5(err,X0)),err)) | ~bool(lazy_impl(prop(sK5(err,X0)),err))) ) | ~spl9_19), 2.94/3.19 inference(subsumption_resolution,[],[f3628,f1908])). 2.94/3.19 fof(f3724,plain,( 2.94/3.19 spl9_46 <=> ! [X3] : ~d(lazy_impl(prop(sK5(err,X3)),err))), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_46])])). 2.94/3.19 fof(f3725,plain,( 2.94/3.19 ( ! [X3] : (~d(lazy_impl(prop(sK5(err,X3)),err))) ) | ~spl9_46), 2.94/3.19 inference(avatar_component_clause,[],[f3724])). 2.94/3.19 fof(f3727,plain,( 2.94/3.19 spl9_48 <=> ! [X2] : d(lazy_impl(prop(X2),err))), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_48])])). 2.94/3.19 fof(f3728,plain,( 2.94/3.19 ( ! [X2] : (d(lazy_impl(prop(X2),err))) ) | ~spl9_48), 2.94/3.19 inference(avatar_component_clause,[],[f3727])). 2.94/3.19 fof(f3729,plain,( 2.94/3.19 spl9_46 | spl9_48 | spl9_19), 2.94/3.19 inference(avatar_split_clause,[],[f3597,f1829,f3727,f3724])). 2.94/3.19 fof(f3730,plain,( 2.94/3.19 ( ! [X0] : (err = lazy_impl(true,lazy_impl(prop(sK5(err,X0)),err))) ) | ~spl9_46), 2.94/3.19 inference(resolution,[],[f3725,f211])). 2.94/3.19 fof(f3732,plain,( 2.94/3.19 ( ! [X1] : (~d(lazy_impl(true,err)) | false = prop(sK5(err,X1))) ) | ~spl9_46), 2.94/3.19 inference(superposition,[],[f3725,f187])). 2.94/3.19 fof(f3742,plain,( 2.94/3.19 ( ! [X1] : (~d(err) | false = prop(sK5(err,X1))) ) | ~spl9_46), 2.94/3.19 inference(forward_demodulation,[],[f3732,f214])). 2.94/3.19 fof(f3743,plain,( 2.94/3.19 ( ! [X1] : (false = prop(sK5(err,X1))) ) | ~spl9_46), 2.94/3.19 inference(subsumption_resolution,[],[f3742,f144])). 2.94/3.19 fof(f3776,plain,( 2.94/3.19 err = lazy_impl(true,lazy_impl(false,err)) | ~spl9_46), 2.94/3.19 inference(backward_demodulation,[],[f3743,f3730])). 2.94/3.19 fof(f3821,plain,( 2.94/3.19 err = lazy_impl(true,true) | ~spl9_46), 2.94/3.19 inference(forward_demodulation,[],[f3776,f131])). 2.94/3.19 fof(f3822,plain,( 2.94/3.19 true = err | ~spl9_46), 2.94/3.19 inference(forward_demodulation,[],[f3821,f212])). 2.94/3.19 fof(f3823,plain,( 2.94/3.19 $false | ~spl9_46), 2.94/3.19 inference(subsumption_resolution,[],[f3822,f151])). 2.94/3.19 fof(f3824,plain,( 2.94/3.19 ~spl9_46), 2.94/3.19 inference(avatar_contradiction_clause,[],[f3823])). 2.94/3.19 fof(f3853,plain,( 2.94/3.19 ( ! [X0] : (~bool(lazy_impl(prop(sK5(err,X0)),err))) ) | (~spl9_19 | ~spl9_48)), 2.94/3.19 inference(subsumption_resolution,[],[f3639,f3728])). 2.94/3.19 fof(f3854,plain,( 2.94/3.19 ( ! [X0] : (lazy_impl(prop(X0),err) = lazy_impl(true,lazy_impl(prop(X0),err))) ) | ~spl9_48), 2.94/3.19 inference(resolution,[],[f3728,f209])). 2.94/3.19 fof(f3876,plain,( 2.94/3.19 ( ! [X2,X3] : (lazy_impl(true,lazy_impl(prop(sK5(err,X2)),err)) = or1(lazy_impl(prop(sK5(err,X2)),err),X3)) ) | (~spl9_19 | ~spl9_48)), 2.94/3.19 inference(resolution,[],[f3853,f167])). 2.94/3.19 fof(f3893,plain,( 2.94/3.19 ( ! [X2,X3] : (lazy_impl(prop(sK5(err,X2)),err) = or1(lazy_impl(prop(sK5(err,X2)),err),X3)) ) | (~spl9_19 | ~spl9_48)), 2.94/3.19 inference(forward_demodulation,[],[f3876,f3854])). 2.94/3.19 fof(f4400,plain,( 2.94/3.19 spl9_62 <=> forallprefers(err,true)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_62])])). 2.94/3.19 fof(f4401,plain,( 2.94/3.19 forallprefers(err,true) | ~spl9_62), 2.94/3.19 inference(avatar_component_clause,[],[f4400])). 2.94/3.19 fof(f4403,plain,( 2.94/3.19 spl9_63 <=> ~forallprefers(err,true)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_63])])). 2.94/3.19 fof(f4404,plain,( 2.94/3.19 ~forallprefers(err,true) | ~spl9_63), 2.94/3.19 inference(avatar_component_clause,[],[f4403])). 2.94/3.19 fof(f4406,plain,( 2.94/3.19 ~d(true) | bool(err) | ~bool(true) | ~spl9_63), 2.94/3.19 inference(resolution,[],[f4404,f241])). 2.94/3.19 fof(f4408,plain,( 2.94/3.19 bool(err) | ~bool(true) | ~spl9_63), 2.94/3.19 inference(subsumption_resolution,[],[f4406,f142])). 2.94/3.19 fof(f4409,plain,( 2.94/3.19 ~bool(true) | (~spl9_19 | ~spl9_63)), 2.94/3.19 inference(subsumption_resolution,[],[f4408,f1908])). 2.94/3.19 fof(f4410,plain,( 2.94/3.19 $false | (~spl9_19 | ~spl9_63)), 2.94/3.19 inference(subsumption_resolution,[],[f4409,f177])). 2.94/3.19 fof(f4411,plain,( 2.94/3.19 spl9_19 | spl9_63), 2.94/3.19 inference(avatar_contradiction_clause,[],[f4410])). 2.94/3.19 fof(f4636,plain,( 2.94/3.19 spl9_73 <=> false != lazy_impl(true,sK5(false,false))), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_73])])). 2.94/3.19 fof(f4637,plain,( 2.94/3.19 false != lazy_impl(true,sK5(false,false)) | ~spl9_73), 2.94/3.19 inference(avatar_component_clause,[],[f4636])). 2.94/3.19 fof(f4639,plain,( 2.94/3.19 spl9_72 <=> false = lazy_impl(true,sK5(false,false))), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_72])])). 2.94/3.19 fof(f4640,plain,( 2.94/3.19 false = lazy_impl(true,sK5(false,false)) | ~spl9_72), 2.94/3.19 inference(avatar_component_clause,[],[f4639])). 2.94/3.19 fof(f4648,plain,( 2.94/3.19 false != sK5(false,false) | err = lazy_impl(true,sK5(false,false)) | ~spl9_73), 2.94/3.19 inference(superposition,[],[f4637,f210])). 2.94/3.19 fof(f4657,plain,( 2.94/3.19 false != sK5(false,false) | err = lazy_impl(true,false) | ~spl9_73), 2.94/3.19 inference(inner_rewriting,[],[f4648])). 2.94/3.19 fof(f4658,plain,( 2.94/3.19 false = err | false != sK5(false,false) | ~spl9_73), 2.94/3.19 inference(forward_demodulation,[],[f4657,f213])). 2.94/3.19 fof(f4659,plain,( 2.94/3.19 false != sK5(false,false) | ~spl9_73), 2.94/3.19 inference(subsumption_resolution,[],[f4658,f152])). 2.94/3.19 fof(f7187,plain,( 2.94/3.19 spl9_78 <=> false = impl(true,sK5(false,false))), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_78])])). 2.94/3.19 fof(f7188,plain,( 2.94/3.19 false = impl(true,sK5(false,false)) | ~spl9_78), 2.94/3.19 inference(avatar_component_clause,[],[f7187])). 2.94/3.19 fof(f7190,plain,( 2.94/3.19 spl9_79 <=> false != impl(true,sK5(false,false))), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_79])])). 2.94/3.19 fof(f7191,plain,( 2.94/3.19 false != impl(true,sK5(false,false)) | ~spl9_79), 2.94/3.19 inference(avatar_component_clause,[],[f7190])). 2.94/3.19 fof(f7656,plain,( 2.94/3.19 ~forallprefers(lazy_impl(prop(false),impl(true,impl(true,false))),true) | (~spl9_32 | ~spl9_37)), 2.94/3.19 inference(superposition,[],[f3401,f201])). 2.94/3.19 fof(f7710,plain,( 2.94/3.19 ~forallprefers(lazy_impl(prop(false),impl(true,false)),true) | (~spl9_32 | ~spl9_37)), 2.94/3.19 inference(forward_demodulation,[],[f7656,f205])). 2.94/3.19 fof(f7711,plain,( 2.94/3.19 ~forallprefers(lazy_impl(prop(false),false),true) | (~spl9_32 | ~spl9_37)), 2.94/3.19 inference(forward_demodulation,[],[f7710,f205])). 2.94/3.19 fof(f7712,plain,( 2.94/3.19 ~forallprefers(lazy_impl(true,false),true) | (~spl9_32 | ~spl9_37)), 2.94/3.19 inference(forward_demodulation,[],[f7711,f186])). 2.94/3.19 fof(f7713,plain,( 2.94/3.19 ~forallprefers(false,true) | (~spl9_32 | ~spl9_37)), 2.94/3.19 inference(forward_demodulation,[],[f7712,f213])). 2.94/3.19 fof(f7714,plain,( 2.94/3.19 $false | (~spl9_32 | ~spl9_37)), 2.94/3.19 inference(subsumption_resolution,[],[f7713,f183])). 2.94/3.19 fof(f7715,plain,( 2.94/3.19 ~spl9_32 | spl9_37), 2.94/3.19 inference(avatar_contradiction_clause,[],[f7714])). 2.94/3.19 fof(f7730,plain,( 2.94/3.19 true = prop(sK5(false,false)) | (~spl9_32 | ~spl9_36)), 2.94/3.19 inference(forward_demodulation,[],[f2635,f2620])). 2.94/3.19 fof(f7731,plain,( 2.94/3.19 false != lazy_impl(true,lazy_impl(true,impl(impl(false,sK5(false,false)),impl(impl(false,sK5(false,false)),sK5(false,false))))) | (~spl9_4 | ~spl9_27 | ~spl9_32 | ~spl9_36)), 2.94/3.19 inference(backward_demodulation,[],[f7730,f3287])). 2.94/3.19 fof(f7762,plain,( 2.94/3.19 false = true | true = sK5(false,false) | false = sK5(false,false) | (~spl9_32 | ~spl9_36)), 2.94/3.19 inference(superposition,[],[f7730,f219])). 2.94/3.19 fof(f7763,plain,( 2.94/3.19 ( ! [X0] : (true != true | ~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(impl(false,X0),X0))),lazy_impl(true,impl(true,impl(impl(false,sK5(false,false)),sK5(false,false)))))) ) | (~spl9_32 | ~spl9_36)), 2.94/3.19 inference(superposition,[],[f2314,f7730])). 2.94/3.19 fof(f7796,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(impl(false,X0),X0))),lazy_impl(true,impl(true,impl(impl(false,sK5(false,false)),sK5(false,false)))))) ) | (~spl9_32 | ~spl9_36)), 2.94/3.19 inference(trivial_inequality_removal,[],[f7763])). 2.94/3.19 fof(f7797,plain,( 2.94/3.19 true = sK5(false,false) | false = sK5(false,false) | (~spl9_32 | ~spl9_36)), 2.94/3.19 inference(subsumption_resolution,[],[f7762,f150])). 2.94/3.19 fof(f7798,plain,( 2.94/3.19 true = sK5(false,false) | (~spl9_32 | ~spl9_36 | ~spl9_73)), 2.94/3.19 inference(subsumption_resolution,[],[f7797,f4659])). 2.94/3.19 fof(f7861,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(impl(false,X0),X0))),lazy_impl(true,impl(true,impl(impl(false,true),true))))) ) | (~spl9_32 | ~spl9_36 | ~spl9_73)), 2.94/3.19 inference(forward_demodulation,[],[f7796,f7798])). 2.94/3.19 fof(f7862,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(impl(false,X0),X0))),lazy_impl(true,impl(true,impl(true,true))))) ) | (~spl9_32 | ~spl9_36 | ~spl9_73)), 2.94/3.19 inference(forward_demodulation,[],[f7861,f200])). 2.94/3.19 fof(f7863,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(impl(false,X0),X0))),lazy_impl(true,impl(true,true)))) ) | (~spl9_32 | ~spl9_36 | ~spl9_73)), 2.94/3.19 inference(forward_demodulation,[],[f7862,f204])). 2.94/3.19 fof(f7864,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(impl(false,X0),X0))),lazy_impl(true,true))) ) | (~spl9_32 | ~spl9_36 | ~spl9_73)), 2.94/3.19 inference(forward_demodulation,[],[f7863,f204])). 2.94/3.19 fof(f7865,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(impl(false,X0),X0))),true)) ) | (~spl9_32 | ~spl9_36 | ~spl9_73)), 2.94/3.19 inference(forward_demodulation,[],[f7864,f212])). 2.94/3.19 fof(f8117,plain,( 2.94/3.19 ~forallprefers(lazy_impl(prop(false),impl(true,impl(true,false))),true) | (~spl9_32 | ~spl9_36 | ~spl9_73)), 2.94/3.19 inference(superposition,[],[f7865,f201])). 2.94/3.19 fof(f8169,plain,( 2.94/3.19 ~forallprefers(lazy_impl(prop(false),impl(true,false)),true) | (~spl9_32 | ~spl9_36 | ~spl9_73)), 2.94/3.19 inference(forward_demodulation,[],[f8117,f205])). 2.94/3.19 fof(f8170,plain,( 2.94/3.19 ~forallprefers(lazy_impl(prop(false),false),true) | (~spl9_32 | ~spl9_36 | ~spl9_73)), 2.94/3.19 inference(forward_demodulation,[],[f8169,f205])). 2.94/3.19 fof(f8171,plain,( 2.94/3.19 ~forallprefers(lazy_impl(true,false),true) | (~spl9_32 | ~spl9_36 | ~spl9_73)), 2.94/3.19 inference(forward_demodulation,[],[f8170,f186])). 2.94/3.19 fof(f8172,plain,( 2.94/3.19 ~forallprefers(false,true) | (~spl9_32 | ~spl9_36 | ~spl9_73)), 2.94/3.19 inference(forward_demodulation,[],[f8171,f213])). 2.94/3.19 fof(f8173,plain,( 2.94/3.19 $false | (~spl9_32 | ~spl9_36 | ~spl9_73)), 2.94/3.19 inference(subsumption_resolution,[],[f8172,f183])). 2.94/3.19 fof(f8174,plain,( 2.94/3.19 ~spl9_32 | ~spl9_36 | spl9_73), 2.94/3.19 inference(avatar_contradiction_clause,[],[f8173])). 2.94/3.19 fof(f11328,plain,( 2.94/3.19 false = sK5(false,false) | true != prop(sK5(false,false)) | ~spl9_78), 2.94/3.19 inference(superposition,[],[f206,f7188])). 2.94/3.19 fof(f11330,plain,( 2.94/3.19 false = sK5(false,false) | (~spl9_32 | ~spl9_36 | ~spl9_78)), 2.94/3.19 inference(subsumption_resolution,[],[f11328,f7730])). 2.94/3.19 fof(f11335,plain,( 2.94/3.19 false != lazy_impl(true,lazy_impl(true,impl(impl(false,false),impl(impl(false,false),false)))) | (~spl9_4 | ~spl9_27 | ~spl9_32 | ~spl9_36 | ~spl9_78)), 2.94/3.19 inference(backward_demodulation,[],[f11330,f7731])). 2.94/3.19 fof(f11363,plain,( 2.94/3.19 false != lazy_impl(true,lazy_impl(true,impl(true,impl(true,false)))) | (~spl9_4 | ~spl9_27 | ~spl9_32 | ~spl9_36 | ~spl9_78)), 2.94/3.19 inference(forward_demodulation,[],[f11335,f201])). 2.94/3.19 fof(f11364,plain,( 2.94/3.19 false != lazy_impl(true,lazy_impl(true,impl(true,false))) | (~spl9_4 | ~spl9_27 | ~spl9_32 | ~spl9_36 | ~spl9_78)), 2.94/3.19 inference(forward_demodulation,[],[f11363,f205])). 2.94/3.19 fof(f11365,plain,( 2.94/3.19 false != lazy_impl(true,lazy_impl(true,false)) | (~spl9_4 | ~spl9_27 | ~spl9_32 | ~spl9_36 | ~spl9_78)), 2.94/3.19 inference(forward_demodulation,[],[f11364,f205])). 2.94/3.19 fof(f11366,plain,( 2.94/3.19 false != lazy_impl(true,false) | (~spl9_4 | ~spl9_27 | ~spl9_32 | ~spl9_36 | ~spl9_78)), 2.94/3.19 inference(forward_demodulation,[],[f11365,f213])). 2.94/3.19 fof(f11367,plain,( 2.94/3.19 $false | (~spl9_4 | ~spl9_27 | ~spl9_32 | ~spl9_36 | ~spl9_78)), 2.94/3.19 inference(subsumption_resolution,[],[f11366,f213])). 2.94/3.19 fof(f11368,plain,( 2.94/3.19 ~spl9_4 | spl9_27 | ~spl9_32 | ~spl9_36 | ~spl9_78), 2.94/3.19 inference(avatar_contradiction_clause,[],[f11367])). 2.94/3.19 fof(f11435,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(true,impl(impl(true,sK5(true,false)),impl(impl(false,sK5(true,false)),sK5(true,false))))) != or1(true,false) | false = prop(sK5(sK3,false)) | (~spl9_26 | ~spl9_32)), 2.94/3.19 inference(backward_demodulation,[],[f1987,f3220])). 2.94/3.19 fof(f11444,plain,( 2.94/3.19 false = sK5(true,false) | true = sK5(sK3,false) | true != or1(sK3,false) | (~spl9_26 | ~spl9_32)), 2.94/3.19 inference(backward_demodulation,[],[f1987,f3236])). 2.94/3.19 fof(f11468,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,impl(impl(true,sK5(true,false)),impl(impl(false,sK5(true,false)),sK5(true,false))))) | false = prop(sK5(sK3,false)) | (~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11435,f192])). 2.94/3.19 fof(f11469,plain,( 2.94/3.19 false = prop(sK5(true,false)) | true != lazy_impl(true,lazy_impl(true,impl(impl(true,sK5(true,false)),impl(impl(false,sK5(true,false)),sK5(true,false))))) | (~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11468,f1987])). 2.94/3.19 fof(f11486,plain,( 2.94/3.19 true = sK5(true,false) | false = sK5(true,false) | true != or1(sK3,false) | (~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11444,f1987])). 2.94/3.19 fof(f11487,plain,( 2.94/3.19 false = sK5(true,false) | true != or1(sK3,false) | (~spl9_25 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(subsumption_resolution,[],[f11486,f3211])). 2.94/3.19 fof(f11488,plain,( 2.94/3.19 true != or1(true,false) | false = sK5(true,false) | (~spl9_25 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11487,f1987])). 2.94/3.19 fof(f11489,plain,( 2.94/3.19 false = sK5(true,false) | (~spl9_25 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(subsumption_resolution,[],[f11488,f192])). 2.94/3.19 fof(f11493,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,impl(impl(true,false),impl(impl(false,false),false)))) | false = prop(sK5(true,false)) | (~spl9_25 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(backward_demodulation,[],[f11489,f11469])). 2.94/3.19 fof(f11515,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,impl(impl(true,false),impl(true,false)))) | false = prop(sK5(true,false)) | (~spl9_25 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11493,f201])). 2.94/3.19 fof(f11516,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,impl(false,false))) | false = prop(sK5(true,false)) | (~spl9_25 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11515,f205])). 2.94/3.19 fof(f11517,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,true)) | false = prop(sK5(true,false)) | (~spl9_25 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11516,f201])). 2.94/3.19 fof(f11518,plain,( 2.94/3.19 true != lazy_impl(true,true) | false = prop(sK5(true,false)) | (~spl9_25 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11517,f212])). 2.94/3.19 fof(f11519,plain,( 2.94/3.19 false = prop(sK5(true,false)) | (~spl9_25 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(subsumption_resolution,[],[f11518,f212])). 2.94/3.19 fof(f11520,plain,( 2.94/3.19 false = prop(false) | (~spl9_25 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11519,f11489])). 2.94/3.19 fof(f11521,plain,( 2.94/3.19 $false | (~spl9_25 | ~spl9_26 | ~spl9_29 | ~spl9_32)), 2.94/3.19 inference(subsumption_resolution,[],[f11520,f3216])). 2.94/3.19 fof(f11522,plain,( 2.94/3.19 spl9_25 | ~spl9_26 | spl9_29 | ~spl9_32), 2.94/3.19 inference(avatar_contradiction_clause,[],[f11521])). 2.94/3.19 fof(f11746,plain,( 2.94/3.19 true = sK5(true,false) | (~spl9_24 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f1984,f2620])). 2.94/3.19 fof(f11765,plain,( 2.94/3.19 false = prop(true) | true != lazy_impl(true,lazy_impl(true,impl(impl(true,sK5(true,false)),impl(impl(false,sK5(true,false)),sK5(true,false))))) | (~spl9_24 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11469,f11746])). 2.94/3.19 fof(f11766,plain,( 2.94/3.19 false = true | true != lazy_impl(true,lazy_impl(true,impl(impl(true,sK5(true,false)),impl(impl(false,sK5(true,false)),sK5(true,false))))) | (~spl9_24 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11765,f185])). 2.94/3.19 fof(f11767,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,impl(impl(true,sK5(true,false)),impl(impl(false,sK5(true,false)),sK5(true,false))))) | (~spl9_24 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(subsumption_resolution,[],[f11766,f150])). 2.94/3.19 fof(f11768,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,impl(impl(true,true),impl(impl(false,true),true)))) | (~spl9_24 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11767,f11746])). 2.94/3.19 fof(f11769,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,impl(impl(true,true),impl(true,true)))) | (~spl9_24 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11768,f200])). 2.94/3.19 fof(f11770,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,impl(true,true))) | (~spl9_24 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11769,f204])). 2.94/3.19 fof(f11771,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,true)) | (~spl9_24 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11770,f204])). 2.94/3.19 fof(f11772,plain,( 2.94/3.19 true != lazy_impl(true,true) | (~spl9_24 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11771,f212])). 2.94/3.19 fof(f11773,plain,( 2.94/3.19 $false | (~spl9_24 | ~spl9_26 | ~spl9_32)), 2.94/3.19 inference(subsumption_resolution,[],[f11772,f212])). 2.94/3.19 fof(f11774,plain,( 2.94/3.19 ~spl9_24 | ~spl9_26 | ~spl9_32), 2.94/3.19 inference(avatar_contradiction_clause,[],[f11773])). 2.94/3.19 fof(f11879,plain,( 2.94/3.19 true != true | false = prop(sK3) | ~spl9_5), 2.94/3.19 inference(superposition,[],[f1074,f187])). 2.94/3.19 fof(f11880,plain,( 2.94/3.19 false = prop(sK3) | ~spl9_5), 2.94/3.19 inference(trivial_inequality_removal,[],[f11879])). 2.94/3.19 fof(f11885,plain,( 2.94/3.19 false != false | ~bool(sK3) | ~spl9_5), 2.94/3.19 inference(superposition,[],[f132,f11880])). 2.94/3.19 fof(f11887,plain,( 2.94/3.19 ~bool(sK3) | ~spl9_5), 2.94/3.19 inference(trivial_inequality_removal,[],[f11885])). 2.94/3.19 fof(f11891,plain,( 2.94/3.19 ( ! [X1] : (lazy_impl(true,sK3) = impl(sK3,X1)) ) | ~spl9_5), 2.94/3.19 inference(resolution,[],[f11887,f169])). 2.94/3.19 fof(f11892,plain,( 2.94/3.19 ( ! [X2] : (lazy_impl(true,sK3) = or1(sK3,X2)) ) | ~spl9_5), 2.94/3.19 inference(resolution,[],[f11887,f167])). 2.94/3.19 fof(f11896,plain,( 2.94/3.19 ( ! [X1] : (err = impl(sK3,X1)) ) | (~spl9_5 | ~spl9_6)), 2.94/3.19 inference(forward_demodulation,[],[f11891,f1080])). 2.94/3.19 fof(f11899,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(true,impl(err,impl(impl(false,sK5(sK3,false)),sK5(sK3,false))))) != or1(sK3,false) | false = prop(sK5(sK3,false)) | (~spl9_5 | ~spl9_6 | ~spl9_32)), 2.94/3.19 inference(backward_demodulation,[],[f11896,f3220])). 2.94/3.19 fof(f11913,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(true,err)) != or1(sK3,false) | false = prop(sK5(sK3,false)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11899,f1920])). 2.94/3.19 fof(f11927,plain,( 2.94/3.19 ( ! [X2] : (err = or1(sK3,X2)) ) | (~spl9_5 | ~spl9_6)), 2.94/3.19 inference(forward_demodulation,[],[f11892,f1080])). 2.94/3.19 fof(f12391,plain,( 2.94/3.19 ( ! [X26,X27] : (~forallprefers(lazy_impl(prop(X26),impl(err,impl(impl(X27,X26),X26))),lazy_impl(prop(sK5(sK3,X27)),impl(impl(sK3,sK5(sK3,X27)),impl(impl(X27,sK5(sK3,X27)),sK5(sK3,X27)))))) ) | (~spl9_5 | ~spl9_6)), 2.94/3.19 inference(superposition,[],[f165,f11896])). 2.94/3.19 fof(f12468,plain,( 2.94/3.19 ( ! [X26,X27] : (~forallprefers(lazy_impl(prop(X26),impl(err,impl(impl(X27,X26),X26))),lazy_impl(prop(sK5(sK3,X27)),impl(err,impl(impl(X27,sK5(sK3,X27)),sK5(sK3,X27)))))) ) | (~spl9_5 | ~spl9_6)), 2.94/3.19 inference(forward_demodulation,[],[f12391,f11896])). 2.94/3.19 fof(f12469,plain,( 2.94/3.19 ( ! [X26,X27] : (~forallprefers(lazy_impl(prop(X26),impl(err,impl(impl(X27,X26),X26))),lazy_impl(prop(sK5(sK3,X27)),err))) ) | (~spl9_5 | ~spl9_6 | ~spl9_19)), 2.94/3.19 inference(forward_demodulation,[],[f12468,f1920])). 2.94/3.19 fof(f12470,plain,( 2.94/3.19 ( ! [X26,X27] : (~forallprefers(lazy_impl(prop(X26),err),lazy_impl(prop(sK5(sK3,X27)),err))) ) | (~spl9_5 | ~spl9_6 | ~spl9_19)), 2.94/3.19 inference(forward_demodulation,[],[f12469,f1920])). 2.94/3.19 fof(f13347,plain,( 2.94/3.19 err != lazy_impl(true,lazy_impl(true,err)) | false = prop(sK5(sK3,false)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f11913,f11927])). 2.94/3.19 fof(f13348,plain,( 2.94/3.19 err != lazy_impl(true,err) | false = prop(sK5(sK3,false)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f13347,f214])). 2.94/3.19 fof(f13349,plain,( 2.94/3.19 false = prop(sK5(sK3,false)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32)), 2.94/3.19 inference(subsumption_resolution,[],[f13348,f214])). 2.94/3.19 fof(f14042,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),err),lazy_impl(false,err))) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32)), 2.94/3.19 inference(superposition,[],[f12470,f13349])). 2.94/3.19 fof(f14057,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),err),true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f14042,f131])). 2.94/3.19 fof(f14060,plain,( 2.94/3.19 ( ! [X0] : (~d(true) | bool(lazy_impl(prop(X0),err)) | ~bool(true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32)), 2.94/3.19 inference(resolution,[],[f14057,f241])). 2.94/3.19 fof(f14062,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(lazy_impl(true,err),true) | false = prop(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32)), 2.94/3.19 inference(superposition,[],[f14057,f187])). 2.94/3.19 fof(f14073,plain,( 2.94/3.19 ( ! [X0] : (bool(lazy_impl(prop(X0),err)) | ~bool(true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32)), 2.94/3.19 inference(subsumption_resolution,[],[f14060,f142])). 2.94/3.19 fof(f14074,plain,( 2.94/3.19 ( ! [X0] : (bool(lazy_impl(prop(X0),err))) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32)), 2.94/3.19 inference(subsumption_resolution,[],[f14073,f177])). 2.94/3.19 fof(f14078,plain,( 2.94/3.19 ( ! [X0] : (~forallprefers(err,true) | false = prop(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32)), 2.94/3.19 inference(forward_demodulation,[],[f14062,f214])). 2.94/3.19 fof(f14079,plain,( 2.94/3.19 ( ! [X0] : (false = prop(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32 | ~spl9_62)), 2.94/3.19 inference(subsumption_resolution,[],[f14078,f4401])). 2.94/3.19 fof(f14080,plain,( 2.94/3.19 ( ! [X0] : (~bool(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32 | ~spl9_62)), 2.94/3.19 inference(subsumption_resolution,[],[f132,f14079])). 2.94/3.19 fof(f14427,plain,( 2.94/3.19 bool(lazy_impl(false,err)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32 | ~spl9_62)), 2.94/3.19 inference(backward_demodulation,[],[f14079,f14074])). 2.94/3.19 fof(f14917,plain,( 2.94/3.19 $false | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_32 | ~spl9_62)), 2.94/3.19 inference(subsumption_resolution,[],[f14427,f14080])). 2.94/3.19 fof(f14918,plain,( 2.94/3.19 spl9_5 | ~spl9_6 | spl9_19 | ~spl9_32 | ~spl9_62), 2.94/3.19 inference(avatar_contradiction_clause,[],[f14917])). 2.94/3.19 fof(f14967,plain,( 2.94/3.19 false = true | true = sK3 | false = sK3 | ~spl9_4), 2.94/3.19 inference(superposition,[],[f1077,f219])). 2.94/3.19 fof(f14968,plain,( 2.94/3.19 false = true | true = sK3 | false = sK3 | ~spl9_4), 2.94/3.19 inference(superposition,[],[f219,f1077])). 2.94/3.19 fof(f14969,plain,( 2.94/3.19 true = sK3 | false = sK3 | ~spl9_4), 2.94/3.19 inference(subsumption_resolution,[],[f14967,f150])). 2.94/3.19 fof(f14970,plain,( 2.94/3.19 false = sK3 | (~spl9_4 | ~spl9_27)), 2.94/3.19 inference(subsumption_resolution,[],[f14969,f1990])). 2.94/3.19 fof(f15084,plain,( 2.94/3.19 lazy_impl(prop(sK5(false,sK4)),impl(impl(false,sK5(false,sK4)),impl(impl(sK4,sK5(false,sK4)),sK5(false,sK4)))) = or1(false,sK4) | (~spl9_2 | ~spl9_4 | ~spl9_27)), 2.94/3.19 inference(forward_demodulation,[],[f1023,f14970])). 2.94/3.19 fof(f15085,plain,( 2.94/3.19 err = lazy_impl(true,or1(false,sK4)) | (~spl9_0 | ~spl9_4 | ~spl9_27)), 2.94/3.19 inference(forward_demodulation,[],[f1020,f14970])). 2.94/3.19 fof(f15106,plain,( 2.94/3.19 lazy_impl(true,impl(impl(false,sK5(false,sK4)),impl(impl(sK4,sK5(false,sK4)),sK5(false,sK4)))) = or1(false,sK4) | (~spl9_2 | ~spl9_4 | ~spl9_27 | ~spl9_36)), 2.94/3.19 inference(backward_demodulation,[],[f2635,f15084])). 2.94/3.19 fof(f15188,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(prop(sK5(false,sK4)),impl(impl(false,sK5(false,sK4)),impl(impl(sK4,sK5(false,sK4)),sK5(false,sK4))))) != or1(false,sK4) | (~spl9_4 | ~spl9_27)), 2.94/3.19 inference(forward_demodulation,[],[f164,f14970])). 2.94/3.19 fof(f15189,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(true,impl(impl(false,sK5(false,sK4)),impl(impl(sK4,sK5(false,sK4)),sK5(false,sK4))))) != or1(false,sK4) | (~spl9_4 | ~spl9_27 | ~spl9_36)), 2.94/3.19 inference(forward_demodulation,[],[f15188,f2635])). 2.94/3.19 fof(f15190,plain,( 2.94/3.19 lazy_impl(true,or1(false,sK4)) != or1(false,sK4) | (~spl9_2 | ~spl9_4 | ~spl9_27 | ~spl9_36)), 2.94/3.19 inference(forward_demodulation,[],[f15189,f15106])). 2.94/3.19 fof(f15191,plain,( 2.94/3.19 err != or1(false,sK4) | (~spl9_0 | ~spl9_2 | ~spl9_4 | ~spl9_27 | ~spl9_36)), 2.94/3.19 inference(forward_demodulation,[],[f15190,f15085])). 2.94/3.19 fof(f15313,plain,( 2.94/3.19 false != false | ~bool(sK4) | ~spl9_28), 2.94/3.19 inference(superposition,[],[f132,f2604])). 2.94/3.19 fof(f15315,plain,( 2.94/3.19 ~bool(sK4) | ~spl9_28), 2.94/3.19 inference(trivial_inequality_removal,[],[f15313])). 2.94/3.19 fof(f15524,plain,( 2.94/3.19 false != sK5(false,false) | true != prop(sK5(false,false)) | ~spl9_79), 2.94/3.19 inference(superposition,[],[f7191,f206])). 2.94/3.19 fof(f15525,plain,( 2.94/3.19 false != sK5(false,false) | true != prop(false) | ~spl9_79), 2.94/3.19 inference(inner_rewriting,[],[f15524])). 2.94/3.19 fof(f15526,plain,( 2.94/3.19 false != sK5(false,false) | ~spl9_79), 2.94/3.19 inference(subsumption_resolution,[],[f15525,f186])). 2.94/3.19 fof(f15562,plain,( 2.94/3.19 lazy_impl(true,sK4) = or1(false,sK4) | ~spl9_28), 2.94/3.19 inference(resolution,[],[f246,f15315])). 2.94/3.19 fof(f15565,plain,( 2.94/3.19 err = lazy_impl(true,lazy_impl(true,sK4)) | (~spl9_0 | ~spl9_4 | ~spl9_27 | ~spl9_28)), 2.94/3.19 inference(backward_demodulation,[],[f15562,f15085])). 2.94/3.19 fof(f15587,plain,( 2.94/3.19 err != lazy_impl(true,sK4) | (~spl9_0 | ~spl9_2 | ~spl9_4 | ~spl9_27 | ~spl9_28 | ~spl9_36)), 2.94/3.19 inference(superposition,[],[f15191,f15562])). 2.94/3.19 fof(f15636,plain,( 2.94/3.19 spl9_83 <=> true != sK5(false,sK4)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_83])])). 2.94/3.19 fof(f15637,plain,( 2.94/3.19 true != sK5(false,sK4) | ~spl9_83), 2.94/3.19 inference(avatar_component_clause,[],[f15636])). 2.94/3.19 fof(f15639,plain,( 2.94/3.19 spl9_82 <=> true = sK5(false,sK4)), 2.94/3.19 introduced(avatar_definition,[new_symbols(naming,[spl9_82])])). 2.94/3.19 fof(f15640,plain,( 2.94/3.19 true = sK5(false,sK4) | ~spl9_82), 2.94/3.19 inference(avatar_component_clause,[],[f15639])). 2.94/3.19 fof(f15781,plain,( 2.94/3.19 err = lazy_impl(true,sK4) | err = lazy_impl(true,sK4) | (~spl9_0 | ~spl9_4 | ~spl9_27 | ~spl9_28)), 2.94/3.19 inference(superposition,[],[f15565,f210])). 2.94/3.19 fof(f15783,plain,( 2.94/3.19 false = sK5(false,false) | err = lazy_impl(true,sK5(false,false)) | ~spl9_72), 2.94/3.19 inference(superposition,[],[f4640,f210])). 2.94/3.19 fof(f15787,plain,( 2.94/3.19 err = lazy_impl(true,sK4) | (~spl9_0 | ~spl9_4 | ~spl9_27 | ~spl9_28)), 2.94/3.19 inference(duplicate_literal_removal,[],[f15781])). 2.94/3.19 fof(f15821,plain,( 2.94/3.19 $false | (~spl9_0 | ~spl9_4 | ~spl9_27 | ~spl9_28 | ~spl9_31)), 2.94/3.19 inference(subsumption_resolution,[],[f15787,f2610])). 2.94/3.19 fof(f15822,plain,( 2.94/3.19 ~spl9_0 | ~spl9_4 | spl9_27 | ~spl9_28 | spl9_31), 2.94/3.19 inference(avatar_contradiction_clause,[],[f15821])). 2.94/3.19 fof(f15823,plain,( 2.94/3.19 err = lazy_impl(true,sK5(false,false)) | (~spl9_72 | ~spl9_79)), 2.94/3.19 inference(subsumption_resolution,[],[f15783,f15526])). 2.94/3.19 fof(f15824,plain,( 2.94/3.19 false = err | (~spl9_72 | ~spl9_79)), 2.94/3.19 inference(forward_demodulation,[],[f15823,f4640])). 2.94/3.19 fof(f15825,plain,( 2.94/3.19 $false | (~spl9_72 | ~spl9_79)), 2.94/3.19 inference(subsumption_resolution,[],[f15824,f152])). 2.94/3.19 fof(f15826,plain,( 2.94/3.19 ~spl9_72 | spl9_79), 2.94/3.19 inference(avatar_contradiction_clause,[],[f15825])). 2.94/3.19 fof(f15855,plain,( 2.94/3.19 $false | (~spl9_0 | ~spl9_2 | ~spl9_4 | ~spl9_27 | ~spl9_28 | ~spl9_36)), 2.94/3.19 inference(subsumption_resolution,[],[f15587,f15787])). 2.94/3.19 fof(f15856,plain,( 2.94/3.19 ~spl9_0 | ~spl9_2 | ~spl9_4 | spl9_27 | ~spl9_28 | ~spl9_36), 2.94/3.19 inference(avatar_contradiction_clause,[],[f15855])). 2.94/3.19 fof(f15860,plain,( 2.94/3.19 true = sK3 | false = sK3 | ~spl9_4), 2.94/3.19 inference(subsumption_resolution,[],[f14968,f150])). 2.94/3.19 fof(f15862,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,true)),impl(impl(true,sK5(sK3,true)),sK5(sK3,true))))) != or1(sK3,true) | false = prop(sK5(sK3,sK4)) | ~spl9_34), 2.94/3.19 inference(backward_demodulation,[],[f2626,f652])). 2.94/3.19 fof(f15876,plain,( 2.94/3.19 true != or1(sK3,true) | true = sK5(sK3,sK4) | false = sK5(sK3,sK4) | ~spl9_34), 2.94/3.19 inference(backward_demodulation,[],[f2626,f674])). 2.94/3.19 fof(f15892,plain,( 2.94/3.19 true = sK5(true,true) | (~spl9_24 | ~spl9_34)), 2.94/3.19 inference(backward_demodulation,[],[f2626,f1984])). 2.94/3.19 fof(f15896,plain,( 2.94/3.19 false = prop(sK5(sK3,true)) | lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,true)),impl(impl(true,sK5(sK3,true)),sK5(sK3,true))))) != or1(sK3,true) | ~spl9_34), 2.94/3.19 inference(forward_demodulation,[],[f15862,f2626])). 2.94/3.19 fof(f15911,plain,( 2.94/3.19 true = sK5(sK3,true) | true != or1(sK3,true) | false = sK5(sK3,sK4) | ~spl9_34), 2.94/3.19 inference(forward_demodulation,[],[f15876,f2626])). 2.94/3.19 fof(f15912,plain,( 2.94/3.19 false = sK5(sK3,true) | true = sK5(sK3,true) | true != or1(sK3,true) | ~spl9_34), 2.94/3.19 inference(forward_demodulation,[],[f15911,f2626])). 2.94/3.19 fof(f15931,plain,( 2.94/3.19 false != prop(true) | (~spl9_29 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f2601,f2626])). 2.94/3.19 fof(f15942,plain,( 2.94/3.19 lazy_impl(true,lazy_impl(true,impl(impl(true,sK5(true,true)),impl(impl(true,sK5(true,true)),sK5(true,true))))) != or1(true,true) | false = prop(sK5(sK3,true)) | (~spl9_26 | ~spl9_34)), 2.94/3.19 inference(backward_demodulation,[],[f1987,f15896])). 2.94/3.19 fof(f15951,plain,( 2.94/3.19 false = sK5(true,true) | true = sK5(sK3,true) | true != or1(sK3,true) | (~spl9_26 | ~spl9_34)), 2.94/3.19 inference(backward_demodulation,[],[f1987,f15912])). 2.94/3.19 fof(f16012,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,impl(impl(true,sK5(true,true)),impl(impl(true,sK5(true,true)),sK5(true,true))))) | false = prop(sK5(sK3,true)) | (~spl9_26 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f15942,f191])). 2.94/3.19 fof(f16013,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,impl(impl(true,true),impl(impl(true,true),true)))) | false = prop(sK5(sK3,true)) | (~spl9_24 | ~spl9_26 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f16012,f15892])). 2.94/3.19 fof(f16014,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,impl(true,impl(true,true)))) | false = prop(sK5(sK3,true)) | (~spl9_24 | ~spl9_26 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f16013,f204])). 2.94/3.19 fof(f16015,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,impl(true,true))) | false = prop(sK5(sK3,true)) | (~spl9_24 | ~spl9_26 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f16014,f204])). 2.94/3.19 fof(f16016,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,true)) | false = prop(sK5(sK3,true)) | (~spl9_24 | ~spl9_26 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f16015,f204])). 2.94/3.19 fof(f16017,plain,( 2.94/3.19 true != lazy_impl(true,true) | false = prop(sK5(sK3,true)) | (~spl9_24 | ~spl9_26 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f16016,f212])). 2.94/3.19 fof(f16018,plain,( 2.94/3.19 false = prop(sK5(sK3,true)) | (~spl9_24 | ~spl9_26 | ~spl9_34)), 2.94/3.19 inference(subsumption_resolution,[],[f16017,f212])). 2.94/3.19 fof(f16019,plain,( 2.94/3.19 false = prop(sK5(true,true)) | (~spl9_24 | ~spl9_26 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f16018,f1987])). 2.94/3.19 fof(f16020,plain,( 2.94/3.19 false = prop(true) | (~spl9_24 | ~spl9_26 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f16019,f15892])). 2.94/3.19 fof(f16021,plain,( 2.94/3.19 $false | (~spl9_24 | ~spl9_26 | ~spl9_29 | ~spl9_34)), 2.94/3.19 inference(subsumption_resolution,[],[f16020,f15931])). 2.94/3.19 fof(f16022,plain,( 2.94/3.19 ~spl9_24 | ~spl9_26 | spl9_29 | ~spl9_34), 2.94/3.19 inference(avatar_contradiction_clause,[],[f16021])). 2.94/3.19 fof(f16182,plain,( 2.94/3.19 true = sK5(true,true) | false = sK5(true,true) | true != or1(sK3,true) | (~spl9_26 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f15951,f1987])). 2.94/3.19 fof(f16183,plain,( 2.94/3.19 true != or1(true,true) | true = sK5(true,true) | false = sK5(true,true) | (~spl9_26 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f16182,f1987])). 2.94/3.19 fof(f16184,plain,( 2.94/3.19 true = sK5(true,true) | false = sK5(true,true) | (~spl9_26 | ~spl9_34)), 2.94/3.19 inference(subsumption_resolution,[],[f16183,f191])). 2.94/3.19 fof(f16201,plain,( 2.94/3.19 false = prop(sK5(true,true)) | true != lazy_impl(true,lazy_impl(true,impl(impl(true,sK5(true,true)),impl(impl(true,sK5(true,true)),sK5(true,true))))) | (~spl9_26 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f16012,f1987])). 2.94/3.19 fof(f16210,plain,( 2.94/3.19 true != sK5(true,true) | (~spl9_25 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f1981,f2626])). 2.94/3.19 fof(f16211,plain,( 2.94/3.19 false = sK5(true,true) | (~spl9_25 | ~spl9_26 | ~spl9_34)), 2.94/3.19 inference(subsumption_resolution,[],[f16184,f16210])). 2.94/3.19 fof(f16229,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,impl(impl(true,false),impl(impl(true,false),false)))) | false = prop(sK5(true,true)) | (~spl9_25 | ~spl9_26 | ~spl9_34)), 2.94/3.19 inference(backward_demodulation,[],[f16211,f16201])). 2.94/3.19 fof(f16323,plain,( 2.94/3.19 true != lazy_impl(true,lazy_impl(true,impl(false,impl(false,false)))) | false = prop(sK5(true,true)) | (~spl9_25 | ~spl9_26 | ~spl9_34)), 2.94/3.19 inference(forward_demodulation,[],[f16229,f205])). 2.94/3.20 fof(f16324,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(true,impl(false,true))) | false = prop(sK5(true,true)) | (~spl9_25 | ~spl9_26 | ~spl9_34)), 2.94/3.20 inference(forward_demodulation,[],[f16323,f201])). 2.94/3.20 fof(f16325,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(true,true)) | false = prop(sK5(true,true)) | (~spl9_25 | ~spl9_26 | ~spl9_34)), 2.94/3.20 inference(forward_demodulation,[],[f16324,f200])). 2.94/3.20 fof(f16326,plain,( 2.94/3.20 true != lazy_impl(true,true) | false = prop(sK5(true,true)) | (~spl9_25 | ~spl9_26 | ~spl9_34)), 2.94/3.20 inference(forward_demodulation,[],[f16325,f212])). 2.94/3.20 fof(f16327,plain,( 2.94/3.20 false = prop(sK5(true,true)) | (~spl9_25 | ~spl9_26 | ~spl9_34)), 2.94/3.20 inference(subsumption_resolution,[],[f16326,f212])). 2.94/3.20 fof(f16328,plain,( 2.94/3.20 false = prop(false) | (~spl9_25 | ~spl9_26 | ~spl9_34)), 2.94/3.20 inference(forward_demodulation,[],[f16327,f16211])). 2.94/3.20 fof(f16329,plain,( 2.94/3.20 false = true | (~spl9_25 | ~spl9_26 | ~spl9_34)), 2.94/3.20 inference(backward_demodulation,[],[f16328,f186])). 2.94/3.20 fof(f16330,plain,( 2.94/3.20 $false | (~spl9_25 | ~spl9_26 | ~spl9_34)), 2.94/3.20 inference(subsumption_resolution,[],[f16329,f150])). 2.94/3.20 fof(f16331,plain,( 2.94/3.20 spl9_25 | ~spl9_26 | ~spl9_34), 2.94/3.20 inference(avatar_contradiction_clause,[],[f16330])). 2.94/3.20 fof(f16404,plain,( 2.94/3.20 false = prop(true) | (~spl9_28 | ~spl9_34)), 2.94/3.20 inference(forward_demodulation,[],[f2604,f2626])). 2.94/3.20 fof(f16405,plain,( 2.94/3.20 false = true | (~spl9_28 | ~spl9_34)), 2.94/3.20 inference(backward_demodulation,[],[f16404,f185])). 2.94/3.20 fof(f16406,plain,( 2.94/3.20 $false | (~spl9_28 | ~spl9_34)), 2.94/3.20 inference(subsumption_resolution,[],[f16405,f150])). 2.94/3.20 fof(f16407,plain,( 2.94/3.20 ~spl9_28 | ~spl9_34), 2.94/3.20 inference(avatar_contradiction_clause,[],[f16406])). 2.94/3.20 fof(f16481,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(prop(sK5(true,sK4)),impl(impl(true,sK5(true,sK4)),lazy_impl(true,impl(sK4,sK5(true,sK4)))))) != or1(true,sK4) | true = or1(true,impl(sK4,sK5(sK3,sK4))) | ~spl9_26), 2.94/3.20 inference(forward_demodulation,[],[f740,f1987])). 2.94/3.20 fof(f16562,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(prop(sK5(true,sK4)),impl(impl(true,sK5(true,sK4)),lazy_impl(true,impl(sK4,sK5(true,sK4)))))) != or1(true,sK4) | true = prop(impl(sK4,sK5(sK3,sK4))) | ~spl9_26), 2.94/3.20 inference(forward_demodulation,[],[f661,f1987])). 2.94/3.20 fof(f16574,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(prop(sK5(true,sK4)),impl(impl(true,sK5(true,sK4)),lazy_impl(true,impl(sK4,sK5(true,sK4)))))) != or1(true,sK4) | true = impl(false,impl(sK4,sK5(sK3,sK4))) | ~spl9_26), 2.94/3.20 inference(forward_demodulation,[],[f659,f1987])). 2.94/3.20 fof(f16616,plain,( 2.94/3.20 true = impl(false,impl(sK4,sK5(true,sK4))) | lazy_impl(true,lazy_impl(prop(sK5(true,sK4)),impl(impl(true,sK5(true,sK4)),lazy_impl(true,impl(sK4,sK5(true,sK4)))))) != or1(true,sK4) | ~spl9_26), 2.94/3.20 inference(forward_demodulation,[],[f16574,f1987])). 2.94/3.20 fof(f16618,plain,( 2.94/3.20 true = prop(impl(sK4,sK5(true,sK4))) | lazy_impl(true,lazy_impl(prop(sK5(true,sK4)),impl(impl(true,sK5(true,sK4)),lazy_impl(true,impl(sK4,sK5(true,sK4)))))) != or1(true,sK4) | ~spl9_26), 2.94/3.20 inference(forward_demodulation,[],[f16562,f1987])). 2.94/3.20 fof(f16629,plain,( 2.94/3.20 true = or1(true,impl(sK4,sK5(true,sK4))) | lazy_impl(true,lazy_impl(prop(sK5(true,sK4)),impl(impl(true,sK5(true,sK4)),lazy_impl(true,impl(sK4,sK5(true,sK4)))))) != or1(true,sK4) | ~spl9_26), 2.94/3.20 inference(forward_demodulation,[],[f16481,f1987])). 2.94/3.20 fof(f16645,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(prop(true),impl(impl(true,true),lazy_impl(true,impl(sK4,true))))) != or1(true,sK4) | true = prop(impl(sK4,sK5(true,sK4))) | (~spl9_24 | ~spl9_26)), 2.94/3.20 inference(backward_demodulation,[],[f1984,f16618])). 2.94/3.20 fof(f16653,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(prop(true),impl(impl(true,true),lazy_impl(true,impl(sK4,true))))) != or1(true,sK4) | true = or1(true,impl(sK4,sK5(true,sK4))) | (~spl9_24 | ~spl9_26)), 2.94/3.20 inference(backward_demodulation,[],[f1984,f16629])). 2.94/3.20 fof(f16676,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(prop(true),impl(true,lazy_impl(true,impl(sK4,true))))) != or1(true,sK4) | true = prop(impl(sK4,sK5(true,sK4))) | (~spl9_24 | ~spl9_26)), 2.94/3.20 inference(forward_demodulation,[],[f16645,f204])). 2.94/3.20 fof(f16677,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(true,lazy_impl(true,impl(sK4,true))))) != or1(true,sK4) | true = prop(impl(sK4,sK5(true,sK4))) | (~spl9_24 | ~spl9_26)), 2.94/3.20 inference(forward_demodulation,[],[f16676,f185])). 2.94/3.20 fof(f16678,plain,( 2.94/3.20 true = prop(impl(sK4,true)) | lazy_impl(true,lazy_impl(true,impl(true,lazy_impl(true,impl(sK4,true))))) != or1(true,sK4) | (~spl9_24 | ~spl9_26)), 2.94/3.20 inference(forward_demodulation,[],[f16677,f1984])). 2.94/3.20 fof(f16718,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(prop(true),impl(true,lazy_impl(true,impl(sK4,true))))) != or1(true,sK4) | true = or1(true,impl(sK4,sK5(true,sK4))) | (~spl9_24 | ~spl9_26)), 2.94/3.20 inference(forward_demodulation,[],[f16653,f204])). 2.94/3.20 fof(f16719,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(true,lazy_impl(true,impl(sK4,true))))) != or1(true,sK4) | true = or1(true,impl(sK4,sK5(true,sK4))) | (~spl9_24 | ~spl9_26)), 2.94/3.20 inference(forward_demodulation,[],[f16718,f185])). 2.94/3.20 fof(f16720,plain,( 2.94/3.20 true = or1(true,impl(sK4,true)) | lazy_impl(true,lazy_impl(true,impl(true,lazy_impl(true,impl(sK4,true))))) != or1(true,sK4) | (~spl9_24 | ~spl9_26)), 2.94/3.20 inference(forward_demodulation,[],[f16719,f1984])). 2.94/3.20 fof(f16750,plain,( 2.94/3.20 false != false | ~bool(sK4) | ~spl9_28), 2.94/3.20 inference(superposition,[],[f132,f2604])). 2.94/3.20 fof(f16757,plain,( 2.94/3.20 ~bool(sK4) | ~spl9_28), 2.94/3.20 inference(trivial_inequality_removal,[],[f16750])). 2.94/3.20 fof(f16765,plain,( 2.94/3.20 ( ! [X1] : (lazy_impl(true,sK4) = impl(sK4,X1)) ) | ~spl9_28), 2.94/3.20 inference(resolution,[],[f16757,f169])). 2.94/3.20 fof(f16767,plain,( 2.94/3.20 lazy_impl(true,sK4) = or1(true,sK4) | ~spl9_28), 2.94/3.20 inference(resolution,[],[f16757,f245])). 2.94/3.20 fof(f16768,plain,( 2.94/3.20 lazy_impl(true,sK4) = or1(false,sK4) | ~spl9_28), 2.94/3.20 inference(resolution,[],[f16757,f246])). 2.94/3.20 fof(f16769,plain,( 2.94/3.20 lazy_impl(true,sK4) = impl(true,sK4) | ~spl9_28), 2.94/3.20 inference(resolution,[],[f16757,f291])). 2.94/3.20 fof(f16770,plain,( 2.94/3.20 lazy_impl(true,sK4) = impl(false,sK4) | ~spl9_28), 2.94/3.20 inference(resolution,[],[f16757,f292])). 2.94/3.20 fof(f16777,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(true,lazy_impl(true,lazy_impl(true,sK4))))) != or1(true,sK4) | true = prop(impl(sK4,true)) | (~spl9_24 | ~spl9_26 | ~spl9_28)), 2.94/3.20 inference(backward_demodulation,[],[f16765,f16678])). 2.94/3.20 fof(f16779,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(true,lazy_impl(true,lazy_impl(true,sK4))))) != or1(true,sK4) | true = or1(true,impl(sK4,true)) | (~spl9_24 | ~spl9_26 | ~spl9_28)), 2.94/3.20 inference(backward_demodulation,[],[f16765,f16720])). 2.94/3.20 fof(f16783,plain,( 2.94/3.20 true = prop(lazy_impl(true,sK4)) | lazy_impl(true,lazy_impl(true,impl(true,lazy_impl(true,lazy_impl(true,sK4))))) != or1(true,sK4) | (~spl9_24 | ~spl9_26 | ~spl9_28)), 2.94/3.20 inference(forward_demodulation,[],[f16777,f16765])). 2.94/3.20 fof(f16785,plain,( 2.94/3.20 true = or1(true,lazy_impl(true,sK4)) | lazy_impl(true,lazy_impl(true,impl(true,lazy_impl(true,lazy_impl(true,sK4))))) != or1(true,sK4) | (~spl9_24 | ~spl9_26 | ~spl9_28)), 2.94/3.20 inference(forward_demodulation,[],[f16779,f16765])). 2.94/3.20 fof(f16794,plain,( 2.94/3.20 lazy_impl(true,sK4) != lazy_impl(true,lazy_impl(true,impl(true,lazy_impl(true,lazy_impl(true,sK4))))) | true = prop(lazy_impl(true,sK4)) | (~spl9_24 | ~spl9_26 | ~spl9_28)), 2.94/3.20 inference(backward_demodulation,[],[f16767,f16783])). 2.94/3.20 fof(f16796,plain,( 2.94/3.20 lazy_impl(true,sK4) != lazy_impl(true,lazy_impl(true,impl(true,lazy_impl(true,lazy_impl(true,sK4))))) | true = or1(true,lazy_impl(true,sK4)) | (~spl9_24 | ~spl9_26 | ~spl9_28)), 2.94/3.20 inference(backward_demodulation,[],[f16767,f16785])). 2.94/3.20 fof(f16826,plain,( 2.94/3.20 err != err | lazy_impl(true,sK4) = sK4 | ~spl9_31), 2.94/3.20 inference(superposition,[],[f2610,f210])). 2.94/3.20 fof(f16827,plain,( 2.94/3.20 lazy_impl(true,sK4) = sK4 | ~spl9_31), 2.94/3.20 inference(trivial_inequality_removal,[],[f16826])). 2.94/3.20 fof(f16831,plain,( 2.94/3.20 or1(true,sK4) = sK4 | (~spl9_28 | ~spl9_31)), 2.94/3.20 inference(backward_demodulation,[],[f16827,f16767])). 2.94/3.20 fof(f16833,plain,( 2.94/3.20 impl(true,sK4) = sK4 | (~spl9_28 | ~spl9_31)), 2.94/3.20 inference(backward_demodulation,[],[f16827,f16769])). 2.94/3.20 fof(f16842,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(true,lazy_impl(true,sK4)))) != sK4 | true = or1(true,lazy_impl(true,sK4)) | (~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(backward_demodulation,[],[f16827,f16796])). 2.94/3.20 fof(f16879,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(true,sK4))) != sK4 | true = or1(true,lazy_impl(true,sK4)) | (~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(forward_demodulation,[],[f16842,f16827])). 2.94/3.20 fof(f16880,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,sK4)) != sK4 | true = or1(true,lazy_impl(true,sK4)) | (~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(forward_demodulation,[],[f16879,f16833])). 2.94/3.20 fof(f16881,plain,( 2.94/3.20 lazy_impl(true,sK4) != sK4 | true = or1(true,lazy_impl(true,sK4)) | (~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(forward_demodulation,[],[f16880,f16827])). 2.94/3.20 fof(f16882,plain,( 2.94/3.20 true = or1(true,lazy_impl(true,sK4)) | (~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(subsumption_resolution,[],[f16881,f16827])). 2.94/3.20 fof(f16883,plain,( 2.94/3.20 true = or1(true,sK4) | (~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(forward_demodulation,[],[f16882,f16827])). 2.94/3.20 fof(f16884,plain,( 2.94/3.20 true = sK4 | (~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(backward_demodulation,[],[f16883,f16831])). 2.94/3.20 fof(f16885,plain,( 2.94/3.20 $false | (~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_31 | ~spl9_35)), 2.94/3.20 inference(subsumption_resolution,[],[f16884,f2623])). 2.94/3.20 fof(f16886,plain,( 2.94/3.20 ~spl9_24 | ~spl9_26 | ~spl9_28 | spl9_31 | spl9_35), 2.94/3.20 inference(avatar_contradiction_clause,[],[f16885])). 2.94/3.20 fof(f16894,plain,( 2.94/3.20 ( ! [X1] : (err = impl(sK4,X1)) ) | (~spl9_28 | ~spl9_30)), 2.94/3.20 inference(backward_demodulation,[],[f2607,f16765])). 2.94/3.20 fof(f16896,plain,( 2.94/3.20 err = or1(true,sK4) | (~spl9_28 | ~spl9_30)), 2.94/3.20 inference(backward_demodulation,[],[f2607,f16767])). 2.94/3.20 fof(f16904,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,impl(true,lazy_impl(true,err)))) | true = prop(lazy_impl(true,sK4)) | (~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(backward_demodulation,[],[f2607,f16794])). 2.94/3.20 fof(f16929,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,impl(true,err))) | true = prop(lazy_impl(true,sK4)) | (~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f16904,f214])). 2.94/3.20 fof(f16930,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,err)) | true = prop(lazy_impl(true,sK4)) | (~spl9_16 | ~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f16929,f1718])). 2.94/3.20 fof(f16931,plain,( 2.94/3.20 err != lazy_impl(true,err) | true = prop(lazy_impl(true,sK4)) | (~spl9_16 | ~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f16930,f214])). 2.94/3.20 fof(f16932,plain,( 2.94/3.20 true = prop(lazy_impl(true,sK4)) | (~spl9_16 | ~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(subsumption_resolution,[],[f16931,f214])). 2.94/3.20 fof(f16933,plain,( 2.94/3.20 true = prop(err) | (~spl9_16 | ~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f16932,f2607])). 2.94/3.20 fof(f16934,plain,( 2.94/3.20 false = true | (~spl9_16 | ~spl9_19 | ~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f16933,f1902])). 2.94/3.20 fof(f16935,plain,( 2.94/3.20 $false | (~spl9_16 | ~spl9_19 | ~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(subsumption_resolution,[],[f16934,f150])). 2.94/3.20 fof(f16936,plain,( 2.94/3.20 ~spl9_16 | spl9_19 | ~spl9_24 | ~spl9_26 | ~spl9_28 | ~spl9_30), 2.94/3.20 inference(avatar_contradiction_clause,[],[f16935])). 2.94/3.20 fof(f16959,plain,( 2.94/3.20 true = or1(true,err) | lazy_impl(true,lazy_impl(prop(sK5(true,sK4)),impl(impl(true,sK5(true,sK4)),lazy_impl(true,impl(sK4,sK5(true,sK4)))))) != or1(true,sK4) | (~spl9_26 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f16629,f16894])). 2.94/3.20 fof(f16960,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(prop(sK5(true,sK4)),impl(impl(true,sK5(true,sK4)),lazy_impl(true,impl(sK4,sK5(true,sK4)))))) != or1(true,sK4) | (~spl9_9 | ~spl9_26 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(subsumption_resolution,[],[f16959,f1318])). 2.94/3.20 fof(f16961,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(prop(sK5(true,sK4)),impl(impl(true,sK5(true,sK4)),lazy_impl(true,impl(sK4,sK5(true,sK4)))))) | (~spl9_9 | ~spl9_26 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f16960,f16896])). 2.94/3.20 fof(f16962,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(prop(sK5(true,sK4)),impl(impl(true,sK5(true,sK4)),lazy_impl(true,err)))) | (~spl9_9 | ~spl9_26 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f16961,f16894])). 2.94/3.20 fof(f16963,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(prop(sK5(true,sK4)),impl(impl(true,sK5(true,sK4)),err))) | (~spl9_9 | ~spl9_26 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f16962,f214])). 2.94/3.20 fof(f17042,plain,( 2.94/3.20 spl9_84 <=> false = sK3), 2.94/3.20 introduced(avatar_definition,[new_symbols(naming,[spl9_84])])). 2.94/3.20 fof(f17043,plain,( 2.94/3.20 false = sK3 | ~spl9_84), 2.94/3.20 inference(avatar_component_clause,[],[f17042])). 2.94/3.20 fof(f17044,plain,( 2.94/3.20 spl9_84 | spl9_26 | ~spl9_4), 2.94/3.20 inference(avatar_split_clause,[],[f15860,f1076,f1986,f17042])). 2.94/3.20 fof(f17368,plain,( 2.94/3.20 spl9_86 <=> true = prop(sK5(true,sK4))), 2.94/3.20 introduced(avatar_definition,[new_symbols(naming,[spl9_86])])). 2.94/3.20 fof(f17369,plain,( 2.94/3.20 true = prop(sK5(true,sK4)) | ~spl9_86), 2.94/3.20 inference(avatar_component_clause,[],[f17368])). 2.94/3.20 fof(f17371,plain,( 2.94/3.20 spl9_87 <=> true != prop(sK5(true,sK4))), 2.94/3.20 introduced(avatar_definition,[new_symbols(naming,[spl9_87])])). 2.94/3.20 fof(f17372,plain,( 2.94/3.20 true != prop(sK5(true,sK4)) | ~spl9_87), 2.94/3.20 inference(avatar_component_clause,[],[f17371])). 2.94/3.20 fof(f17380,plain,( 2.94/3.20 true != true | false = prop(sK5(true,sK4)) | ~spl9_87), 2.94/3.20 inference(superposition,[],[f17372,f187])). 2.94/3.20 fof(f17382,plain,( 2.94/3.20 false = prop(sK5(true,sK4)) | ~spl9_87), 2.94/3.20 inference(trivial_inequality_removal,[],[f17380])). 2.94/3.20 fof(f17864,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),impl(impl(sK4,X0),X0))),lazy_impl(false,impl(impl(true,sK5(true,sK4)),impl(impl(sK4,sK5(true,sK4)),sK5(true,sK4)))))) ) | ~spl9_87), 2.94/3.20 inference(superposition,[],[f165,f17382])). 2.94/3.20 fof(f17965,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),impl(impl(sK4,X0),X0))),true)) ) | ~spl9_87), 2.94/3.20 inference(forward_demodulation,[],[f17864,f131])). 2.94/3.20 fof(f17966,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),impl(err,X0))),true)) ) | (~spl9_28 | ~spl9_30 | ~spl9_87)), 2.94/3.20 inference(forward_demodulation,[],[f17965,f16894])). 2.94/3.20 fof(f17967,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),err)),true)) ) | (~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_87)), 2.94/3.20 inference(forward_demodulation,[],[f17966,f1920])). 2.94/3.20 fof(f18025,plain,( 2.94/3.20 ~forallprefers(lazy_impl(prop(false),impl(false,err)),true) | (~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_87)), 2.94/3.20 inference(superposition,[],[f17967,f205])). 2.94/3.20 fof(f18053,plain,( 2.94/3.20 ~forallprefers(lazy_impl(prop(false),err),true) | (~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_87)), 2.94/3.20 inference(forward_demodulation,[],[f18025,f1925])). 2.94/3.20 fof(f18054,plain,( 2.94/3.20 ~forallprefers(lazy_impl(true,err),true) | (~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_87)), 2.94/3.20 inference(forward_demodulation,[],[f18053,f186])). 2.94/3.20 fof(f18055,plain,( 2.94/3.20 ~forallprefers(err,true) | (~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_87)), 2.94/3.20 inference(forward_demodulation,[],[f18054,f214])). 2.94/3.20 fof(f18056,plain,( 2.94/3.20 $false | (~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_62 | ~spl9_87)), 2.94/3.20 inference(subsumption_resolution,[],[f18055,f4401])). 2.94/3.20 fof(f18057,plain,( 2.94/3.20 spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_62 | spl9_87), 2.94/3.20 inference(avatar_contradiction_clause,[],[f18056])). 2.94/3.20 fof(f18078,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,impl(impl(true,sK5(true,sK4)),err))) | (~spl9_9 | ~spl9_26 | ~spl9_28 | ~spl9_30 | ~spl9_86)), 2.94/3.20 inference(backward_demodulation,[],[f17369,f16963])). 2.94/3.20 fof(f18106,plain,( 2.94/3.20 false = true | true = sK5(true,sK4) | false = sK5(true,sK4) | ~spl9_86), 2.94/3.20 inference(superposition,[],[f219,f17369])). 2.94/3.20 fof(f18138,plain,( 2.94/3.20 true = sK5(true,sK4) | false = sK5(true,sK4) | ~spl9_86), 2.94/3.20 inference(subsumption_resolution,[],[f18106,f150])). 2.94/3.20 fof(f18139,plain,( 2.94/3.20 false = sK5(true,sK4) | (~spl9_25 | ~spl9_86)), 2.94/3.20 inference(subsumption_resolution,[],[f18138,f1981])). 2.94/3.20 fof(f18162,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,impl(impl(true,false),err))) | (~spl9_9 | ~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_30 | ~spl9_86)), 2.94/3.20 inference(backward_demodulation,[],[f18139,f18078])). 2.94/3.20 fof(f18180,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,impl(false,err))) | (~spl9_9 | ~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_30 | ~spl9_86)), 2.94/3.20 inference(forward_demodulation,[],[f18162,f205])). 2.94/3.20 fof(f18181,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,err)) | (~spl9_9 | ~spl9_19 | ~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_30 | ~spl9_86)), 2.94/3.20 inference(forward_demodulation,[],[f18180,f1925])). 2.94/3.20 fof(f18182,plain,( 2.94/3.20 err != lazy_impl(true,err) | (~spl9_9 | ~spl9_19 | ~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_30 | ~spl9_86)), 2.94/3.20 inference(forward_demodulation,[],[f18181,f214])). 2.94/3.20 fof(f18183,plain,( 2.94/3.20 $false | (~spl9_9 | ~spl9_19 | ~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_30 | ~spl9_86)), 2.94/3.20 inference(subsumption_resolution,[],[f18182,f214])). 2.94/3.20 fof(f18184,plain,( 2.94/3.20 spl9_9 | spl9_19 | spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_30 | ~spl9_86), 2.94/3.20 inference(avatar_contradiction_clause,[],[f18183])). 2.94/3.20 fof(f18238,plain,( 2.94/3.20 true = impl(false,impl(sK4,false)) | lazy_impl(true,lazy_impl(prop(sK5(true,sK4)),impl(impl(true,sK5(true,sK4)),lazy_impl(true,impl(sK4,sK5(true,sK4)))))) != or1(true,sK4) | (~spl9_25 | ~spl9_26 | ~spl9_86)), 2.94/3.20 inference(forward_demodulation,[],[f16616,f18139])). 2.94/3.20 fof(f18239,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(prop(false),impl(impl(true,false),lazy_impl(true,impl(sK4,false))))) != or1(true,sK4) | true = impl(false,impl(sK4,false)) | (~spl9_25 | ~spl9_26 | ~spl9_86)), 2.94/3.20 inference(forward_demodulation,[],[f18238,f18139])). 2.94/3.20 fof(f18240,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(prop(false),impl(false,lazy_impl(true,impl(sK4,false))))) != or1(true,sK4) | true = impl(false,impl(sK4,false)) | (~spl9_25 | ~spl9_26 | ~spl9_86)), 2.94/3.20 inference(forward_demodulation,[],[f18239,f205])). 2.94/3.20 fof(f18241,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(false,lazy_impl(true,impl(sK4,false))))) != or1(true,sK4) | true = impl(false,impl(sK4,false)) | (~spl9_25 | ~spl9_26 | ~spl9_86)), 2.94/3.20 inference(forward_demodulation,[],[f18240,f186])). 2.94/3.20 fof(f18287,plain,( 2.94/3.20 lazy_impl(true,sK4) != lazy_impl(true,lazy_impl(true,impl(false,lazy_impl(true,impl(sK4,false))))) | true = impl(false,impl(sK4,false)) | (~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_86)), 2.94/3.20 inference(backward_demodulation,[],[f16767,f18241])). 2.94/3.20 fof(f18297,plain,( 2.94/3.20 lazy_impl(true,sK4) != lazy_impl(true,lazy_impl(true,impl(false,lazy_impl(true,lazy_impl(true,sK4))))) | true = impl(false,impl(sK4,false)) | (~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_86)), 2.94/3.20 inference(backward_demodulation,[],[f16765,f18287])). 2.94/3.20 fof(f18376,plain,( 2.94/3.20 true = impl(false,lazy_impl(true,sK4)) | lazy_impl(true,sK4) != lazy_impl(true,lazy_impl(true,impl(false,lazy_impl(true,lazy_impl(true,sK4))))) | (~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_86)), 2.94/3.20 inference(forward_demodulation,[],[f18297,f16765])). 2.94/3.20 fof(f18380,plain,( 2.94/3.20 err != err | lazy_impl(true,sK4) = sK4 | ~spl9_31), 2.94/3.20 inference(superposition,[],[f2610,f210])). 2.94/3.20 fof(f18385,plain,( 2.94/3.20 lazy_impl(true,sK4) = sK4 | ~spl9_31), 2.94/3.20 inference(trivial_inequality_removal,[],[f18380])). 2.94/3.20 fof(f18387,plain,( 2.94/3.20 ( ! [X1] : (impl(sK4,X1) = sK4) ) | (~spl9_28 | ~spl9_31)), 2.94/3.20 inference(backward_demodulation,[],[f18385,f16765])). 2.94/3.20 fof(f18391,plain,( 2.94/3.20 impl(true,sK4) = sK4 | (~spl9_28 | ~spl9_31)), 2.94/3.20 inference(backward_demodulation,[],[f18385,f16769])). 2.94/3.20 fof(f18392,plain,( 2.94/3.20 impl(false,sK4) = sK4 | (~spl9_28 | ~spl9_31)), 2.94/3.20 inference(backward_demodulation,[],[f18385,f16770])). 2.94/3.20 fof(f18402,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(false,lazy_impl(true,sK4)))) != sK4 | true = impl(false,lazy_impl(true,sK4)) | (~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_31 | ~spl9_86)), 2.94/3.20 inference(backward_demodulation,[],[f18385,f18376])). 2.94/3.20 fof(f18446,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(false,sK4))) != sK4 | true = impl(false,lazy_impl(true,sK4)) | (~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_31 | ~spl9_86)), 2.94/3.20 inference(forward_demodulation,[],[f18402,f18385])). 2.94/3.20 fof(f18447,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,sK4)) != sK4 | true = impl(false,lazy_impl(true,sK4)) | (~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_31 | ~spl9_86)), 2.94/3.20 inference(forward_demodulation,[],[f18446,f18392])). 2.94/3.20 fof(f18448,plain,( 2.94/3.20 lazy_impl(true,sK4) != sK4 | true = impl(false,lazy_impl(true,sK4)) | (~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_31 | ~spl9_86)), 2.94/3.20 inference(forward_demodulation,[],[f18447,f18385])). 2.94/3.20 fof(f18449,plain,( 2.94/3.20 true = impl(false,lazy_impl(true,sK4)) | (~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_31 | ~spl9_86)), 2.94/3.20 inference(subsumption_resolution,[],[f18448,f18385])). 2.94/3.20 fof(f18450,plain,( 2.94/3.20 true = impl(false,sK4) | (~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_31 | ~spl9_86)), 2.94/3.20 inference(forward_demodulation,[],[f18449,f18385])). 2.94/3.20 fof(f18451,plain,( 2.94/3.20 true = sK4 | (~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_31 | ~spl9_86)), 2.94/3.20 inference(backward_demodulation,[],[f18450,f18392])). 2.94/3.20 fof(f18452,plain,( 2.94/3.20 $false | (~spl9_25 | ~spl9_26 | ~spl9_28 | ~spl9_31 | ~spl9_35 | ~spl9_86)), 2.94/3.20 inference(subsumption_resolution,[],[f18451,f2623])). 2.94/3.20 fof(f18453,plain,( 2.94/3.20 spl9_25 | ~spl9_26 | ~spl9_28 | spl9_31 | spl9_35 | ~spl9_86), 2.94/3.20 inference(avatar_contradiction_clause,[],[f18452])). 2.94/3.20 fof(f18634,plain,( 2.94/3.20 true != true | false = prop(sK5(true,sK4)) | ~spl9_87), 2.94/3.20 inference(superposition,[],[f17372,f187])). 2.94/3.20 fof(f18636,plain,( 2.94/3.20 false = prop(sK5(true,sK4)) | ~spl9_87), 2.94/3.20 inference(trivial_inequality_removal,[],[f18634])). 2.94/3.20 fof(f18737,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),impl(impl(sK4,X0),X0))),lazy_impl(false,impl(impl(true,sK5(true,sK4)),impl(impl(sK4,sK5(true,sK4)),sK5(true,sK4)))))) ) | ~spl9_87), 2.94/3.20 inference(superposition,[],[f165,f18636])). 2.94/3.20 fof(f18760,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),impl(impl(sK4,X0),X0))),true)) ) | ~spl9_87), 2.94/3.20 inference(forward_demodulation,[],[f18737,f131])). 2.94/3.20 fof(f18761,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),impl(sK4,X0))),true)) ) | (~spl9_28 | ~spl9_31 | ~spl9_87)), 2.94/3.20 inference(forward_demodulation,[],[f18760,f18387])). 2.94/3.20 fof(f18762,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(true,X0),sK4)),true)) ) | (~spl9_28 | ~spl9_31 | ~spl9_87)), 2.94/3.20 inference(forward_demodulation,[],[f18761,f18387])). 2.94/3.20 fof(f18985,plain,( 2.94/3.20 ~forallprefers(lazy_impl(true,impl(impl(true,false),sK4)),true) | (~spl9_28 | ~spl9_31 | ~spl9_87)), 2.94/3.20 inference(superposition,[],[f18762,f186])). 2.94/3.20 fof(f19009,plain,( 2.94/3.20 ~forallprefers(lazy_impl(true,impl(false,sK4)),true) | (~spl9_28 | ~spl9_31 | ~spl9_87)), 2.94/3.20 inference(forward_demodulation,[],[f18985,f205])). 2.94/3.20 fof(f19010,plain,( 2.94/3.20 ~forallprefers(lazy_impl(true,sK4),true) | (~spl9_28 | ~spl9_31 | ~spl9_87)), 2.94/3.20 inference(forward_demodulation,[],[f19009,f18392])). 2.94/3.20 fof(f19011,plain,( 2.94/3.20 ~forallprefers(sK4,true) | (~spl9_28 | ~spl9_31 | ~spl9_87)), 2.94/3.20 inference(forward_demodulation,[],[f19010,f18385])). 2.94/3.20 fof(f19055,plain,( 2.94/3.20 ~d(true) | bool(sK4) | ~bool(true) | (~spl9_28 | ~spl9_31 | ~spl9_87)), 2.94/3.20 inference(resolution,[],[f19011,f241])). 2.94/3.20 fof(f19057,plain,( 2.94/3.20 bool(sK4) | ~bool(true) | (~spl9_28 | ~spl9_31 | ~spl9_87)), 2.94/3.20 inference(subsumption_resolution,[],[f19055,f142])). 2.94/3.20 fof(f19058,plain,( 2.94/3.20 ~bool(true) | (~spl9_28 | ~spl9_31 | ~spl9_87)), 2.94/3.20 inference(subsumption_resolution,[],[f19057,f16757])). 2.94/3.20 fof(f19059,plain,( 2.94/3.20 $false | (~spl9_28 | ~spl9_31 | ~spl9_87)), 2.94/3.20 inference(subsumption_resolution,[],[f19058,f177])). 2.94/3.20 fof(f19060,plain,( 2.94/3.20 ~spl9_28 | spl9_31 | spl9_87), 2.94/3.20 inference(avatar_contradiction_clause,[],[f19059])). 2.94/3.20 fof(f19065,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,sK4)),impl(sK4,sK5(sK3,sK4))))) != or1(sK3,sK4) | false = prop(sK5(sK3,sK4)) | (~spl9_28 | ~spl9_31)), 2.94/3.20 inference(forward_demodulation,[],[f652,f18387])). 2.94/3.20 fof(f19066,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,sK4)),sK4))) != or1(sK3,sK4) | false = prop(sK5(sK3,sK4)) | (~spl9_28 | ~spl9_31)), 2.94/3.20 inference(forward_demodulation,[],[f19065,f18387])). 2.94/3.20 fof(f19114,plain,( 2.94/3.20 true != true | false = prop(sK3) | ~spl9_5), 2.94/3.20 inference(superposition,[],[f1074,f187])). 2.94/3.20 fof(f19116,plain,( 2.94/3.20 false = prop(sK3) | ~spl9_5), 2.94/3.20 inference(trivial_inequality_removal,[],[f19114])). 2.94/3.20 fof(f19119,plain,( 2.94/3.20 false != false | ~bool(sK3) | ~spl9_5), 2.94/3.20 inference(superposition,[],[f132,f19116])). 2.94/3.20 fof(f19141,plain,( 2.94/3.20 ~bool(sK3) | ~spl9_5), 2.94/3.20 inference(trivial_inequality_removal,[],[f19119])). 2.94/3.20 fof(f19165,plain,( 2.94/3.20 ( ! [X0] : (lazy_impl(true,sK3) = or1(sK3,X0)) ) | ~spl9_5), 2.94/3.20 inference(resolution,[],[f19141,f167])). 2.94/3.20 fof(f19166,plain,( 2.94/3.20 ( ! [X1] : (lazy_impl(true,sK3) = impl(sK3,X1)) ) | ~spl9_5), 2.94/3.20 inference(resolution,[],[f19141,f169])). 2.94/3.20 fof(f19173,plain,( 2.94/3.20 ( ! [X0] : (err = or1(sK3,X0)) ) | (~spl9_5 | ~spl9_6)), 2.94/3.20 inference(forward_demodulation,[],[f19165,f1080])). 2.94/3.20 fof(f19188,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,sK4)),sK4))) | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(backward_demodulation,[],[f19173,f19066])). 2.94/3.20 fof(f19196,plain,( 2.94/3.20 ( ! [X1] : (err = impl(sK3,X1)) ) | (~spl9_5 | ~spl9_6)), 2.94/3.20 inference(forward_demodulation,[],[f19166,f1080])). 2.94/3.20 fof(f19203,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,impl(err,sK4))) | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(backward_demodulation,[],[f19196,f19188])). 2.94/3.20 fof(f19212,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,err)) | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(forward_demodulation,[],[f19203,f1920])). 2.94/3.20 fof(f19213,plain,( 2.94/3.20 err != lazy_impl(true,err) | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(forward_demodulation,[],[f19212,f214])). 2.94/3.20 fof(f19214,plain,( 2.94/3.20 false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(subsumption_resolution,[],[f19213,f214])). 2.94/3.20 fof(f19378,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(sK3,X0),impl(impl(sK4,X0),X0))),lazy_impl(false,impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4)))))) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(superposition,[],[f165,f19214])). 2.94/3.20 fof(f19402,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(sK3,X0),impl(impl(sK4,X0),X0))),true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(forward_demodulation,[],[f19378,f131])). 2.94/3.20 fof(f19403,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(sK3,X0),impl(sK4,X0))),true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(forward_demodulation,[],[f19402,f18387])). 2.94/3.20 fof(f19404,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(sK3,X0),sK4)),true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(forward_demodulation,[],[f19403,f18387])). 2.94/3.20 fof(f19405,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(err,sK4)),true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(forward_demodulation,[],[f19404,f19196])). 2.94/3.20 fof(f19406,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),err),true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(forward_demodulation,[],[f19405,f1920])). 2.94/3.20 fof(f19451,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(true,err),true) | false = prop(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(superposition,[],[f19406,f187])). 2.94/3.20 fof(f19467,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(err,true) | false = prop(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31)), 2.94/3.20 inference(forward_demodulation,[],[f19451,f214])). 2.94/3.20 fof(f19468,plain,( 2.94/3.20 ( ! [X0] : (false = prop(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31 | ~spl9_62)), 2.94/3.20 inference(subsumption_resolution,[],[f19467,f4401])). 2.94/3.20 fof(f19469,plain,( 2.94/3.20 ( ! [X0] : (~bool(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31 | ~spl9_62)), 2.94/3.20 inference(subsumption_resolution,[],[f132,f19468])). 2.94/3.20 fof(f19881,plain,( 2.94/3.20 ( ! [X3] : (lazy_impl(false,err) = or1(lazy_impl(false,err),X3)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31 | ~spl9_48 | ~spl9_62)), 2.94/3.20 inference(backward_demodulation,[],[f19468,f3893])). 2.94/3.20 fof(f19918,plain,( 2.94/3.20 ( ! [X0] : (lazy_impl(true,X0) = or1(true,X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31 | ~spl9_62)), 2.94/3.20 inference(subsumption_resolution,[],[f245,f19469])). 2.94/3.20 fof(f20920,plain,( 2.94/3.20 ( ! [X3] : (true = or1(true,X3)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31 | ~spl9_48 | ~spl9_62)), 2.94/3.20 inference(forward_demodulation,[],[f19881,f131])). 2.94/3.20 fof(f20924,plain,( 2.94/3.20 ( ! [X0] : (true = lazy_impl(true,X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31 | ~spl9_48 | ~spl9_62)), 2.94/3.20 inference(backward_demodulation,[],[f20920,f19918])). 2.94/3.20 fof(f20934,plain,( 2.94/3.20 ( ! [X0] : (true = X0 | ~sP2(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31 | ~spl9_48 | ~spl9_62)), 2.94/3.20 inference(backward_demodulation,[],[f20924,f170])). 2.94/3.20 fof(f20935,plain,( 2.94/3.20 ( ! [X0] : (true = err | sP2(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31 | ~spl9_48 | ~spl9_62)), 2.94/3.20 inference(backward_demodulation,[],[f20924,f171])). 2.94/3.20 fof(f20993,plain,( 2.94/3.20 true != err | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31 | ~spl9_48 | ~spl9_62)), 2.94/3.20 inference(backward_demodulation,[],[f20924,f2610])). 2.94/3.20 fof(f21009,plain,( 2.94/3.20 ( ! [X0] : (sP2(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31 | ~spl9_48 | ~spl9_62)), 2.94/3.20 inference(subsumption_resolution,[],[f20935,f151])). 2.94/3.20 fof(f21010,plain,( 2.94/3.20 ( ! [X0] : (true = X0) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31 | ~spl9_48 | ~spl9_62)), 2.94/3.20 inference(subsumption_resolution,[],[f20934,f21009])). 2.94/3.20 fof(f21095,plain,( 2.94/3.20 $false | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_31 | ~spl9_48 | ~spl9_62)), 2.94/3.20 inference(subsumption_resolution,[],[f20993,f21010])). 2.94/3.20 fof(f21096,plain,( 2.94/3.20 spl9_5 | ~spl9_6 | spl9_19 | ~spl9_28 | spl9_31 | ~spl9_48 | ~spl9_62), 2.94/3.20 inference(avatar_contradiction_clause,[],[f21095])). 2.94/3.20 fof(f21272,plain,( 2.94/3.20 true = prop(false) | (~spl9_4 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f1077,f17043])). 2.94/3.20 fof(f21276,plain,( 2.94/3.20 err != lazy_impl(true,or1(false,sK4)) | (~spl9_1 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f1017,f17043])). 2.94/3.20 fof(f21408,plain,( 2.94/3.20 true != true | false = prop(sK5(false,sK4)) | ~spl9_37), 2.94/3.20 inference(superposition,[],[f2638,f187])). 2.94/3.20 fof(f21413,plain,( 2.94/3.20 false = prop(sK5(false,sK4)) | ~spl9_37), 2.94/3.20 inference(trivial_inequality_removal,[],[f21408])). 2.94/3.20 fof(f21455,plain,( 2.94/3.20 false != false | ~bool(sK5(false,sK4)) | ~spl9_37), 2.94/3.20 inference(superposition,[],[f132,f21413])). 2.94/3.20 fof(f21459,plain,( 2.94/3.20 ~bool(sK5(false,sK4)) | ~spl9_37), 2.94/3.20 inference(trivial_inequality_removal,[],[f21455])). 2.94/3.20 fof(f21654,plain,( 2.94/3.20 lazy_impl(true,sK5(false,sK4)) = impl(false,sK5(false,sK4)) | ~spl9_37), 2.94/3.20 inference(resolution,[],[f292,f21459])). 2.94/3.20 fof(f24429,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(impl(sK4,X0),X0))),lazy_impl(false,impl(impl(false,sK5(false,sK4)),impl(impl(sK4,sK5(false,sK4)),sK5(false,sK4)))))) ) | ~spl9_37), 2.94/3.20 inference(superposition,[],[f165,f21413])). 2.94/3.20 fof(f24433,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(impl(sK4,X0),X0))),lazy_impl(prop(sK5(false,sK4)),impl(lazy_impl(true,sK5(false,sK4)),impl(impl(sK4,sK5(false,sK4)),sK5(false,sK4)))))) ) | ~spl9_37), 2.94/3.20 inference(superposition,[],[f165,f21654])). 2.94/3.20 fof(f24539,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(impl(sK4,X0),X0))),true)) ) | ~spl9_37), 2.94/3.20 inference(forward_demodulation,[],[f24429,f131])). 2.94/3.20 fof(f24540,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(sK4,X0))),true)) ) | (~spl9_28 | ~spl9_31 | ~spl9_37)), 2.94/3.20 inference(forward_demodulation,[],[f24539,f18387])). 2.94/3.20 fof(f24541,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),sK4)),true)) ) | (~spl9_28 | ~spl9_31 | ~spl9_37)), 2.94/3.20 inference(forward_demodulation,[],[f24540,f18387])). 2.94/3.20 fof(f24628,plain,( 2.94/3.20 ~forallprefers(lazy_impl(true,impl(impl(false,false),sK4)),true) | (~spl9_4 | ~spl9_28 | ~spl9_31 | ~spl9_37 | ~spl9_84)), 2.94/3.20 inference(superposition,[],[f24541,f21272])). 2.94/3.20 fof(f24651,plain,( 2.94/3.20 ~forallprefers(lazy_impl(true,impl(true,sK4)),true) | (~spl9_4 | ~spl9_28 | ~spl9_31 | ~spl9_37 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f24628,f201])). 2.94/3.20 fof(f24652,plain,( 2.94/3.20 ~forallprefers(lazy_impl(true,sK4),true) | (~spl9_4 | ~spl9_28 | ~spl9_31 | ~spl9_37 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f24651,f18391])). 2.94/3.20 fof(f24653,plain,( 2.94/3.20 ~forallprefers(sK4,true) | (~spl9_4 | ~spl9_28 | ~spl9_31 | ~spl9_37 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f24652,f18385])). 2.94/3.20 fof(f24687,plain,( 2.94/3.20 ~d(true) | bool(sK4) | ~bool(true) | (~spl9_4 | ~spl9_28 | ~spl9_31 | ~spl9_37 | ~spl9_84)), 2.94/3.20 inference(resolution,[],[f24653,f241])). 2.94/3.20 fof(f24689,plain,( 2.94/3.20 bool(sK4) | ~bool(true) | (~spl9_4 | ~spl9_28 | ~spl9_31 | ~spl9_37 | ~spl9_84)), 2.94/3.20 inference(subsumption_resolution,[],[f24687,f142])). 2.94/3.20 fof(f24690,plain,( 2.94/3.20 ~bool(true) | (~spl9_4 | ~spl9_28 | ~spl9_31 | ~spl9_37 | ~spl9_84)), 2.94/3.20 inference(subsumption_resolution,[],[f24689,f16757])). 2.94/3.20 fof(f24691,plain,( 2.94/3.20 $false | (~spl9_4 | ~spl9_28 | ~spl9_31 | ~spl9_37 | ~spl9_84)), 2.94/3.20 inference(subsumption_resolution,[],[f24690,f177])). 2.94/3.20 fof(f24692,plain,( 2.94/3.20 ~spl9_4 | ~spl9_28 | spl9_31 | spl9_37 | ~spl9_84), 2.94/3.20 inference(avatar_contradiction_clause,[],[f24691])). 2.94/3.20 fof(f24695,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(impl(sK4,X0),X0))),lazy_impl(false,impl(lazy_impl(true,sK5(false,sK4)),impl(impl(sK4,sK5(false,sK4)),sK5(false,sK4)))))) ) | ~spl9_37), 2.94/3.20 inference(forward_demodulation,[],[f24433,f21413])). 2.94/3.20 fof(f24696,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(impl(sK4,X0),X0))),true)) ) | ~spl9_37), 2.94/3.20 inference(forward_demodulation,[],[f24695,f131])). 2.94/3.20 fof(f24949,plain,( 2.94/3.20 ( ! [X1] : (err = impl(sK4,X1)) ) | (~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f16765,f2607])). 2.94/3.20 fof(f24952,plain,( 2.94/3.20 err = or1(false,sK4) | (~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f16768,f2607])). 2.94/3.20 fof(f25150,plain,( 2.94/3.20 err != lazy_impl(true,err) | (~spl9_1 | ~spl9_28 | ~spl9_30 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f21276,f24952])). 2.94/3.20 fof(f25151,plain,( 2.94/3.20 $false | (~spl9_1 | ~spl9_28 | ~spl9_30 | ~spl9_84)), 2.94/3.20 inference(subsumption_resolution,[],[f25150,f214])). 2.94/3.20 fof(f25152,plain,( 2.94/3.20 spl9_1 | ~spl9_28 | ~spl9_30 | ~spl9_84), 2.94/3.20 inference(avatar_contradiction_clause,[],[f25151])). 2.94/3.20 fof(f25165,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),impl(err,X0))),true)) ) | (~spl9_28 | ~spl9_30 | ~spl9_37)), 2.94/3.20 inference(forward_demodulation,[],[f24696,f24949])). 2.94/3.20 fof(f25166,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(false,X0),err)),true)) ) | (~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_37)), 2.94/3.20 inference(forward_demodulation,[],[f25165,f1920])). 2.94/3.20 fof(f25680,plain,( 2.94/3.20 ( ! [X1] : (~forallprefers(lazy_impl(prop(X1),impl(true,err)),true) | true != prop(X1)) ) | (~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_37)), 2.94/3.20 inference(superposition,[],[f25166,f202])). 2.94/3.20 fof(f25707,plain,( 2.94/3.20 ( ! [X1] : (~forallprefers(lazy_impl(prop(X1),err),true) | true != prop(X1)) ) | (~spl9_16 | ~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_37)), 2.94/3.20 inference(forward_demodulation,[],[f25680,f1718])). 2.94/3.20 fof(f25708,plain,( 2.94/3.20 ( ! [X1] : (~forallprefers(lazy_impl(true,err),true) | true != prop(X1)) ) | (~spl9_16 | ~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_37)), 2.94/3.20 inference(inner_rewriting,[],[f25707])). 2.94/3.20 fof(f25709,plain,( 2.94/3.20 ( ! [X1] : (~forallprefers(err,true) | true != prop(X1)) ) | (~spl9_16 | ~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_37)), 2.94/3.20 inference(forward_demodulation,[],[f25708,f214])). 2.94/3.20 fof(f25710,plain,( 2.94/3.20 ( ! [X1] : (true != prop(X1)) ) | (~spl9_16 | ~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_37 | ~spl9_62)), 2.94/3.20 inference(subsumption_resolution,[],[f25709,f4401])). 2.94/3.20 fof(f25732,plain,( 2.94/3.20 $false | (~spl9_16 | ~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_37 | ~spl9_62)), 2.94/3.20 inference(subsumption_resolution,[],[f185,f25710])). 2.94/3.20 fof(f25781,plain,( 2.94/3.20 ~spl9_16 | spl9_19 | ~spl9_28 | ~spl9_30 | spl9_37 | ~spl9_62), 2.94/3.20 inference(avatar_contradiction_clause,[],[f25732])). 2.94/3.20 fof(f27554,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,sK4)),impl(err,sK5(sK3,sK4))))) != or1(sK3,sK4) | false = prop(sK5(sK3,sK4)) | (~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f652,f24949])). 2.94/3.20 fof(f27555,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,sK4)),err))) != or1(sK3,sK4) | false = prop(sK5(sK3,sK4)) | (~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f27554,f1920])). 2.94/3.20 fof(f27727,plain,( 2.94/3.20 true != true | false = prop(sK3) | ~spl9_5), 2.94/3.20 inference(superposition,[],[f1074,f187])). 2.94/3.20 fof(f27733,plain,( 2.94/3.20 false = prop(sK3) | ~spl9_5), 2.94/3.20 inference(trivial_inequality_removal,[],[f27727])). 2.94/3.20 fof(f27743,plain,( 2.94/3.20 false != false | ~bool(sK3) | ~spl9_5), 2.94/3.20 inference(superposition,[],[f132,f27733])). 2.94/3.20 fof(f27749,plain,( 2.94/3.20 ~bool(sK3) | ~spl9_5), 2.94/3.20 inference(trivial_inequality_removal,[],[f27743])). 2.94/3.20 fof(f27840,plain,( 2.94/3.20 ( ! [X15] : (lazy_impl(true,sK3) = or1(sK3,X15)) ) | ~spl9_5), 2.94/3.20 inference(resolution,[],[f167,f27749])). 2.94/3.20 fof(f27844,plain,( 2.94/3.20 ( ! [X15] : (err = or1(sK3,X15)) ) | (~spl9_5 | ~spl9_6)), 2.94/3.20 inference(forward_demodulation,[],[f27840,f1080])). 2.94/3.20 fof(f27861,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,sK4)),err))) | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(backward_demodulation,[],[f27844,f27555])). 2.94/3.20 fof(f27872,plain,( 2.94/3.20 ( ! [X15] : (lazy_impl(true,sK3) = impl(sK3,X15)) ) | ~spl9_5), 2.94/3.20 inference(resolution,[],[f169,f27749])). 2.94/3.20 fof(f27876,plain,( 2.94/3.20 ( ! [X15] : (err = impl(sK3,X15)) ) | (~spl9_5 | ~spl9_6)), 2.94/3.20 inference(forward_demodulation,[],[f27872,f1080])). 2.94/3.20 fof(f27884,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,impl(err,err))) | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(backward_demodulation,[],[f27876,f27861])). 2.94/3.20 fof(f27893,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,err)) | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f27884,f1920])). 2.94/3.20 fof(f27894,plain,( 2.94/3.20 err != lazy_impl(true,err) | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f27893,f214])). 2.94/3.20 fof(f27895,plain,( 2.94/3.20 false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(subsumption_resolution,[],[f27894,f214])). 2.94/3.20 fof(f29213,plain,( 2.94/3.20 ( ! [X33,X32] : (~forallprefers(lazy_impl(prop(X32),impl(err,impl(impl(X33,X32),X32))),lazy_impl(prop(sK5(sK3,X33)),impl(impl(sK3,sK5(sK3,X33)),impl(impl(X33,sK5(sK3,X33)),sK5(sK3,X33)))))) ) | (~spl9_5 | ~spl9_6)), 2.94/3.20 inference(superposition,[],[f165,f27876])). 2.94/3.20 fof(f29243,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(sK3,X0),impl(impl(sK4,X0),X0))),lazy_impl(false,impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4)))))) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(superposition,[],[f165,f27895])). 2.94/3.20 fof(f29311,plain,( 2.94/3.20 ( ! [X33,X32] : (~forallprefers(lazy_impl(prop(X32),impl(err,impl(impl(X33,X32),X32))),lazy_impl(prop(sK5(sK3,X33)),impl(err,impl(impl(X33,sK5(sK3,X33)),sK5(sK3,X33)))))) ) | (~spl9_5 | ~spl9_6)), 2.94/3.20 inference(forward_demodulation,[],[f29213,f27876])). 2.94/3.20 fof(f29312,plain,( 2.94/3.20 ( ! [X33,X32] : (~forallprefers(lazy_impl(prop(X32),impl(err,impl(impl(X33,X32),X32))),lazy_impl(prop(sK5(sK3,X33)),err))) ) | (~spl9_5 | ~spl9_6 | ~spl9_19)), 2.94/3.20 inference(forward_demodulation,[],[f29311,f1920])). 2.94/3.20 fof(f29313,plain,( 2.94/3.20 ( ! [X33,X32] : (~forallprefers(lazy_impl(prop(X32),err),lazy_impl(prop(sK5(sK3,X33)),err))) ) | (~spl9_5 | ~spl9_6 | ~spl9_19)), 2.94/3.20 inference(forward_demodulation,[],[f29312,f1920])). 2.94/3.20 fof(f29360,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(sK3,X0),impl(impl(sK4,X0),X0))),true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f29243,f131])). 2.94/3.20 fof(f29361,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(sK3,X0),impl(err,X0))),true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f29360,f24949])). 2.94/3.20 fof(f29362,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(impl(sK3,X0),err)),true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f29361,f1920])). 2.94/3.20 fof(f29363,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),impl(err,err)),true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f29362,f27876])). 2.94/3.20 fof(f29364,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),err),true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f29363,f1920])). 2.94/3.20 fof(f29426,plain,( 2.94/3.20 ( ! [X0] : (~d(true) | bool(lazy_impl(prop(X0),err)) | ~bool(true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(resolution,[],[f29364,f241])). 2.94/3.20 fof(f29428,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(true,err),true) | false = prop(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(superposition,[],[f29364,f187])). 2.94/3.20 fof(f29441,plain,( 2.94/3.20 ( ! [X0] : (bool(lazy_impl(prop(X0),err)) | ~bool(true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(subsumption_resolution,[],[f29426,f142])). 2.94/3.20 fof(f29442,plain,( 2.94/3.20 ( ! [X0] : (bool(lazy_impl(prop(X0),err))) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(subsumption_resolution,[],[f29441,f177])). 2.94/3.20 fof(f29448,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(err,true) | false = prop(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30)), 2.94/3.20 inference(forward_demodulation,[],[f29428,f214])). 2.94/3.20 fof(f29449,plain,( 2.94/3.20 ( ! [X0] : (false = prop(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_62)), 2.94/3.20 inference(subsumption_resolution,[],[f29448,f4401])). 2.94/3.20 fof(f29450,plain,( 2.94/3.20 ( ! [X0] : (~bool(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_62)), 2.94/3.20 inference(subsumption_resolution,[],[f132,f29449])). 2.94/3.20 fof(f29849,plain,( 2.94/3.20 bool(lazy_impl(false,err)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_62)), 2.94/3.20 inference(backward_demodulation,[],[f29449,f29442])). 2.94/3.20 fof(f30429,plain,( 2.94/3.20 $false | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_62)), 2.94/3.20 inference(subsumption_resolution,[],[f29849,f29450])). 2.94/3.20 fof(f30430,plain,( 2.94/3.20 spl9_5 | ~spl9_6 | spl9_19 | ~spl9_28 | ~spl9_30 | ~spl9_62), 2.94/3.20 inference(avatar_contradiction_clause,[],[f30429])). 2.94/3.20 fof(f30538,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,sK4)),impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4))))) | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6)), 2.94/3.20 inference(forward_demodulation,[],[f652,f27844])). 2.94/3.20 fof(f30539,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,impl(err,impl(impl(sK4,sK5(sK3,sK4)),sK5(sK3,sK4))))) | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6)), 2.94/3.20 inference(forward_demodulation,[],[f30538,f27876])). 2.94/3.20 fof(f30540,plain,( 2.94/3.20 err != lazy_impl(true,lazy_impl(true,err)) | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6 | ~spl9_19)), 2.94/3.20 inference(forward_demodulation,[],[f30539,f1920])). 2.94/3.20 fof(f30541,plain,( 2.94/3.20 err != lazy_impl(true,err) | false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6 | ~spl9_19)), 2.94/3.20 inference(forward_demodulation,[],[f30540,f214])). 2.94/3.20 fof(f30542,plain,( 2.94/3.20 false = prop(sK5(sK3,sK4)) | (~spl9_5 | ~spl9_6 | ~spl9_19)), 2.94/3.20 inference(subsumption_resolution,[],[f30541,f214])). 2.94/3.20 fof(f30619,plain,( 2.94/3.20 true = sK5(false,true) | (~spl9_34 | ~spl9_82)), 2.94/3.20 inference(backward_demodulation,[],[f2626,f15640])). 2.94/3.20 fof(f30665,plain,( 2.94/3.20 false = prop(sK5(sK3,true)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_34)), 2.94/3.20 inference(backward_demodulation,[],[f2626,f30542])). 2.94/3.20 fof(f30714,plain,( 2.94/3.20 false != prop(true) | (~spl9_29 | ~spl9_34)), 2.94/3.20 inference(forward_demodulation,[],[f2601,f2626])). 2.94/3.20 fof(f32162,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),err),lazy_impl(false,err))) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_34)), 2.94/3.20 inference(superposition,[],[f29313,f30665])). 2.94/3.20 fof(f32178,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(prop(X0),err),true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_34)), 2.94/3.20 inference(forward_demodulation,[],[f32162,f131])). 2.94/3.20 fof(f32181,plain,( 2.94/3.20 ( ! [X0] : (~d(true) | bool(lazy_impl(prop(X0),err)) | ~bool(true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_34)), 2.94/3.20 inference(resolution,[],[f32178,f241])). 2.94/3.20 fof(f32183,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(lazy_impl(true,err),true) | false = prop(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_34)), 2.94/3.20 inference(superposition,[],[f32178,f187])). 2.94/3.20 fof(f32195,plain,( 2.94/3.20 ( ! [X0] : (bool(lazy_impl(prop(X0),err)) | ~bool(true)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_34)), 2.94/3.20 inference(subsumption_resolution,[],[f32181,f142])). 2.94/3.20 fof(f32196,plain,( 2.94/3.20 ( ! [X0] : (bool(lazy_impl(prop(X0),err))) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_34)), 2.94/3.20 inference(subsumption_resolution,[],[f32195,f177])). 2.94/3.20 fof(f32200,plain,( 2.94/3.20 ( ! [X0] : (~forallprefers(err,true) | false = prop(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_34)), 2.94/3.20 inference(forward_demodulation,[],[f32183,f214])). 2.94/3.20 fof(f32201,plain,( 2.94/3.20 ( ! [X0] : (false = prop(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_34 | ~spl9_62)), 2.94/3.20 inference(subsumption_resolution,[],[f32200,f4401])). 2.94/3.20 fof(f32202,plain,( 2.94/3.20 ( ! [X0] : (~bool(X0)) ) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_34 | ~spl9_62)), 2.94/3.20 inference(subsumption_resolution,[],[f132,f32201])). 2.94/3.20 fof(f32561,plain,( 2.94/3.20 bool(lazy_impl(false,err)) | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_34 | ~spl9_62)), 2.94/3.20 inference(backward_demodulation,[],[f32201,f32196])). 2.94/3.20 fof(f33084,plain,( 2.94/3.20 $false | (~spl9_5 | ~spl9_6 | ~spl9_19 | ~spl9_34 | ~spl9_62)), 2.94/3.20 inference(subsumption_resolution,[],[f32561,f32202])). 2.94/3.20 fof(f33085,plain,( 2.94/3.20 spl9_5 | ~spl9_6 | spl9_19 | ~spl9_34 | ~spl9_62), 2.94/3.20 inference(avatar_contradiction_clause,[],[f33084])). 2.94/3.20 fof(f33147,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,true)),impl(impl(true,sK5(sK3,true)),sK5(sK3,true))))) != or1(sK3,true) | false = prop(sK5(sK3,sK4)) | ~spl9_34), 2.94/3.20 inference(forward_demodulation,[],[f652,f2626])). 2.94/3.20 fof(f33148,plain,( 2.94/3.20 false = prop(sK5(sK3,true)) | lazy_impl(true,lazy_impl(true,impl(impl(sK3,sK5(sK3,true)),impl(impl(true,sK5(sK3,true)),sK5(sK3,true))))) != or1(sK3,true) | ~spl9_34), 2.94/3.20 inference(forward_demodulation,[],[f33147,f2626])). 2.94/3.20 fof(f33155,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(prop(sK5(sK3,true)),impl(impl(sK3,sK5(sK3,true)),lazy_impl(true,impl(true,sK5(sK3,true)))))) != or1(sK3,true) | true = prop(impl(sK4,sK5(sK3,sK4))) | ~spl9_34), 2.94/3.20 inference(forward_demodulation,[],[f661,f2626])). 2.94/3.20 fof(f33156,plain,( 2.94/3.20 true = prop(impl(true,sK5(sK3,true))) | lazy_impl(true,lazy_impl(prop(sK5(sK3,true)),impl(impl(sK3,sK5(sK3,true)),lazy_impl(true,impl(true,sK5(sK3,true)))))) != or1(sK3,true) | ~spl9_34), 2.94/3.20 inference(forward_demodulation,[],[f33155,f2626])). 2.94/3.20 fof(f33175,plain,( 2.94/3.20 true != or1(sK3,true) | true = sK5(sK3,sK4) | false = sK5(sK3,sK4) | ~spl9_34), 2.94/3.20 inference(forward_demodulation,[],[f674,f2626])). 2.94/3.20 fof(f33176,plain,( 2.94/3.20 true = sK5(sK3,true) | true != or1(sK3,true) | false = sK5(sK3,sK4) | ~spl9_34), 2.94/3.20 inference(forward_demodulation,[],[f33175,f2626])). 2.94/3.20 fof(f33177,plain,( 2.94/3.20 false = sK5(sK3,true) | true = sK5(sK3,true) | true != or1(sK3,true) | ~spl9_34), 2.94/3.20 inference(forward_demodulation,[],[f33176,f2626])). 2.94/3.20 fof(f33326,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(true,impl(impl(false,sK5(false,true)),impl(impl(true,sK5(false,true)),sK5(false,true))))) != or1(false,true) | false = prop(sK5(sK3,true)) | (~spl9_34 | ~spl9_84)), 2.94/3.20 inference(backward_demodulation,[],[f17043,f33148])). 2.94/3.20 fof(f33331,plain,( 2.94/3.20 lazy_impl(true,lazy_impl(prop(sK5(false,true)),impl(impl(false,sK5(false,true)),lazy_impl(true,impl(true,sK5(false,true)))))) != or1(false,true) | true = prop(impl(true,sK5(sK3,true))) | (~spl9_34 | ~spl9_84)), 2.94/3.20 inference(backward_demodulation,[],[f17043,f33156])). 2.94/3.20 fof(f33343,plain,( 2.94/3.20 false = sK5(false,true) | true = sK5(sK3,true) | true != or1(sK3,true) | (~spl9_34 | ~spl9_84)), 2.94/3.20 inference(backward_demodulation,[],[f17043,f33177])). 2.94/3.20 fof(f33350,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(true,impl(impl(false,sK5(false,true)),impl(impl(true,sK5(false,true)),sK5(false,true))))) | false = prop(sK5(sK3,true)) | (~spl9_34 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33326,f195])). 2.94/3.20 fof(f33351,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(true,impl(impl(false,true),impl(impl(true,true),true)))) | false = prop(sK5(sK3,true)) | (~spl9_34 | ~spl9_82 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33350,f30619])). 2.94/3.20 fof(f33352,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(true,impl(impl(false,true),impl(true,true)))) | false = prop(sK5(sK3,true)) | (~spl9_34 | ~spl9_82 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33351,f204])). 2.94/3.20 fof(f33353,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(true,impl(impl(false,true),true))) | false = prop(sK5(sK3,true)) | (~spl9_34 | ~spl9_82 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33352,f204])). 2.94/3.20 fof(f33354,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(true,impl(true,true))) | false = prop(sK5(sK3,true)) | (~spl9_34 | ~spl9_82 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33353,f200])). 2.94/3.20 fof(f33355,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(true,true)) | false = prop(sK5(sK3,true)) | (~spl9_34 | ~spl9_82 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33354,f204])). 2.94/3.20 fof(f33356,plain,( 2.94/3.20 true != lazy_impl(true,true) | false = prop(sK5(sK3,true)) | (~spl9_34 | ~spl9_82 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33355,f212])). 2.94/3.20 fof(f33357,plain,( 2.94/3.20 false = prop(sK5(sK3,true)) | (~spl9_34 | ~spl9_82 | ~spl9_84)), 2.94/3.20 inference(subsumption_resolution,[],[f33356,f212])). 2.94/3.20 fof(f33358,plain,( 2.94/3.20 false = prop(sK5(false,true)) | (~spl9_34 | ~spl9_82 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33357,f17043])). 2.94/3.20 fof(f33359,plain,( 2.94/3.20 false = prop(true) | (~spl9_34 | ~spl9_82 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33358,f30619])). 2.94/3.20 fof(f33360,plain,( 2.94/3.20 $false | (~spl9_29 | ~spl9_34 | ~spl9_82 | ~spl9_84)), 2.94/3.20 inference(subsumption_resolution,[],[f33359,f30714])). 2.94/3.20 fof(f33361,plain,( 2.94/3.20 spl9_29 | ~spl9_34 | ~spl9_82 | ~spl9_84), 2.94/3.20 inference(avatar_contradiction_clause,[],[f33360])). 2.94/3.20 fof(f33406,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(prop(sK5(false,true)),impl(impl(false,sK5(false,true)),lazy_impl(true,impl(true,sK5(false,true)))))) | true = prop(impl(true,sK5(sK3,true))) | (~spl9_34 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33331,f195])). 2.94/3.20 fof(f33797,plain,( 2.94/3.20 true != sK5(false,true) | (~spl9_34 | ~spl9_83)), 2.94/3.20 inference(forward_demodulation,[],[f15637,f2626])). 2.94/3.20 fof(f33800,plain,( 2.94/3.20 false = prop(sK5(false,true)) | true != lazy_impl(true,lazy_impl(true,impl(impl(false,sK5(false,true)),impl(impl(true,sK5(false,true)),sK5(false,true))))) | (~spl9_34 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33350,f17043])). 2.94/3.20 fof(f33807,plain,( 2.94/3.20 true = prop(impl(true,sK5(false,true))) | true != lazy_impl(true,lazy_impl(prop(sK5(false,true)),impl(impl(false,sK5(false,true)),lazy_impl(true,impl(true,sK5(false,true)))))) | (~spl9_34 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33406,f17043])). 2.94/3.20 fof(f33820,plain,( 2.94/3.20 true = sK5(false,true) | false = sK5(false,true) | true != or1(sK3,true) | (~spl9_34 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33343,f17043])). 2.94/3.20 fof(f33821,plain,( 2.94/3.20 false = sK5(false,true) | true != or1(sK3,true) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(subsumption_resolution,[],[f33820,f33797])). 2.94/3.20 fof(f33822,plain,( 2.94/3.20 true != or1(false,true) | false = sK5(false,true) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33821,f17043])). 2.94/3.20 fof(f33823,plain,( 2.94/3.20 false = sK5(false,true) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(subsumption_resolution,[],[f33822,f195])). 2.94/3.20 fof(f33834,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(true,impl(impl(false,false),impl(impl(true,false),false)))) | false = prop(sK5(false,true)) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(backward_demodulation,[],[f33823,f33800])). 2.94/3.20 fof(f33837,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(prop(false),impl(impl(false,false),lazy_impl(true,impl(true,false))))) | true = prop(impl(true,sK5(false,true))) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(backward_demodulation,[],[f33823,f33807])). 2.94/3.20 fof(f33891,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(true,impl(impl(false,false),impl(false,false)))) | false = prop(sK5(false,true)) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33834,f205])). 2.94/3.20 fof(f33892,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(true,impl(true,true))) | false = prop(sK5(false,true)) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33891,f201])). 2.94/3.20 fof(f33893,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(true,true)) | false = prop(sK5(false,true)) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33892,f204])). 2.94/3.20 fof(f33894,plain,( 2.94/3.20 true != lazy_impl(true,true) | false = prop(sK5(false,true)) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33893,f212])). 2.94/3.20 fof(f33895,plain,( 2.94/3.20 false = prop(sK5(false,true)) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(subsumption_resolution,[],[f33894,f212])). 2.94/3.20 fof(f33896,plain,( 2.94/3.20 false = prop(false) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33895,f33823])). 2.94/3.20 fof(f33918,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(prop(false),impl(impl(false,false),lazy_impl(true,false)))) | true = prop(impl(true,sK5(false,true))) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33837,f205])). 2.94/3.20 fof(f33919,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(prop(false),impl(impl(false,false),false))) | true = prop(impl(true,sK5(false,true))) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33918,f213])). 2.94/3.20 fof(f33920,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(prop(false),impl(true,false))) | true = prop(impl(true,sK5(false,true))) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33919,f201])). 2.94/3.20 fof(f33921,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(prop(false),false)) | true = prop(impl(true,sK5(false,true))) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33920,f205])). 2.94/3.20 fof(f33922,plain,( 2.94/3.20 true != lazy_impl(true,lazy_impl(false,false)) | true = prop(impl(true,sK5(false,true))) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33921,f33896])). 2.94/3.20 fof(f33923,plain,( 2.94/3.20 true != lazy_impl(true,true) | true = prop(impl(true,sK5(false,true))) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33922,f131])). 2.94/3.20 fof(f33924,plain,( 2.94/3.20 true = prop(impl(true,sK5(false,true))) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(subsumption_resolution,[],[f33923,f212])). 2.94/3.20 fof(f33925,plain,( 2.94/3.20 true = prop(impl(true,false)) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33924,f33823])). 2.94/3.20 fof(f33926,plain,( 2.94/3.20 true = prop(false) | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33925,f205])). 2.94/3.20 fof(f33927,plain,( 2.94/3.20 false = true | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(forward_demodulation,[],[f33926,f33896])). 2.94/3.20 fof(f33928,plain,( 2.94/3.20 $false | (~spl9_34 | ~spl9_83 | ~spl9_84)), 2.94/3.20 inference(subsumption_resolution,[],[f33927,f150])). 2.94/3.20 fof(f33929,plain,( 2.94/3.20 ~spl9_34 | spl9_83 | ~spl9_84), 2.94/3.20 inference(avatar_contradiction_clause,[],[f33928])). 2.94/3.20 fof(f33969,plain,( 2.94/3.20 $false), 2.94/3.20 inference(avatar_sat_refutation,[],[f1027,f1814,f1840,f1883,f1899,f2361,f2627,f2645,f2918,f2956,f3051,f3137,f3729,f3824,f4411,f7715,f8174,f11368,f11522,f11774,f14918,f15822,f15826,f15856,f16022,f16331,f16407,f16886,f16936,f17044,f18057,f18184,f18453,f19060,f21096,f24692,f25152,f25781,f30430,f33085,f33361,f33929])). 2.94/3.20 % SZS output end Proof for theBenchmark 2.94/3.20 % ------------------------------ 2.94/3.20 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.94/3.20 % Termination reason: Refutation 2.94/3.20 2.94/3.20 % Memory used [KB]: 15607 2.94/3.20 % Time elapsed: 0.803 s 2.94/3.20 % ------------------------------ 2.94/3.20 % ------------------------------ 2.94/3.20 % Success in time 2.956 s 3.04/3.20 EOF