0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.02/0.25 % Computer : n189.star.cs.uiowa.edu 0.02/0.25 % Model : x86_64 x86_64 0.02/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.25 % Memory : 32218.625MB 0.02/0.25 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.25 % CPULimit : 300 0.02/0.25 % DateTime : Sat Jul 14 06:22:40 CDT 2018 0.02/0.25 % CPUTime : 0.07/0.29 % dis+10_128_acc=on:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:bce=on:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark 0.07/0.29 % Refutation not found, incomplete strategy 0.07/0.29 % ------------------------------ 0.07/0.29 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.07/0.29 % Termination reason: Refutation not found, incomplete strategy 0.07/0.29 0.07/0.29 % Memory used [KB]: 9850 0.07/0.29 % Time elapsed: 0.002 s 0.07/0.29 % ------------------------------ 0.07/0.29 % ------------------------------ 0.07/0.33 % lrs+4_3_av=off:br=off:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark 4.43/4.63 % Time limit reached! 4.43/4.63 % ------------------------------ 4.43/4.63 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 4.43/4.63 % Termination reason: Time limit 4.43/4.63 % Termination phase: Saturation 4.43/4.63 4.43/4.63 % Memory used [KB]: 96586 4.43/4.63 % Time elapsed: 4.300 s 4.43/4.63 % ------------------------------ 4.43/4.63 % ------------------------------ 4.43/4.67 % dis+10_3_add=large:afp=10000:afq=1.0:amm=sco:anc=none:gsp=input_only:gs=on:gsem=off:lcm=reverse:nwc=1:sos=on_6 on theBenchmark 4.43/4.67 % Refutation not found, incomplete strategy 4.43/4.67 % ------------------------------ 4.43/4.67 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 4.43/4.67 % Termination reason: Refutation not found, incomplete strategy 4.43/4.67 4.43/4.67 % Memory used [KB]: 9594 4.43/4.67 % Time elapsed: 0.001 s 4.43/4.67 % ------------------------------ 4.43/4.67 % ------------------------------ 4.43/4.70 % dis+10_1_add=off:afp=4000:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_2 on theBenchmark 4.43/4.70 % Refutation not found, incomplete strategy 4.43/4.70 % ------------------------------ 4.43/4.70 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 4.43/4.70 % Termination reason: Refutation not found, incomplete strategy 4.43/4.70 4.43/4.70 % Memory used [KB]: 9594 4.43/4.70 % Time elapsed: 0.001 s 4.43/4.70 % ------------------------------ 4.43/4.70 % ------------------------------ 4.52/4.74 % dis+11_2:1_add=large:afp=4000:afq=1.4:amm=sco:anc=none:fsr=off:nm=16:nwc=1:sd=3:ss=axioms:st=1.2:sos=all:urr=ec_only:updr=off_6 on theBenchmark 4.52/4.74 % Refutation not found, incomplete strategy 4.52/4.74 % ------------------------------ 4.52/4.74 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 4.52/4.74 % Termination reason: Refutation not found, incomplete strategy 4.52/4.74 4.52/4.74 % Memory used [KB]: 5117 4.52/4.74 % Time elapsed: 0.001 s 4.52/4.74 % ------------------------------ 4.52/4.74 % ------------------------------ 4.52/4.77 % dis+1011_4_av=off:cond=on:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence_5 on theBenchmark 5.42/5.67 % Time limit reached! 5.42/5.67 % ------------------------------ 5.42/5.67 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 5.42/5.67 % Termination reason: Time limit 5.42/5.67 % Termination phase: Saturation 5.42/5.67 5.42/5.67 % Memory used [KB]: 14967 5.42/5.67 % Time elapsed: 0.900 s 5.42/5.67 % ------------------------------ 5.42/5.67 % ------------------------------ 5.49/5.71 % lrs+1010_2:1_aac=none:afr=on:afp=10000:afq=1.4:amm=sco:anc=none:gs=on:gsem=off:irw=on:nm=16:nwc=3:stl=30_3 on theBenchmark 6.10/6.30 % Time limit reached! 6.10/6.30 % ------------------------------ 6.10/6.30 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 6.10/6.30 % Termination reason: Time limit 6.10/6.30 % Termination phase: Saturation 6.10/6.30 6.10/6.30 % Memory used [KB]: 28528 6.10/6.30 % Time elapsed: 0.600 s 6.10/6.30 % ------------------------------ 6.10/6.30 % ------------------------------ 6.10/6.34 % dis+1002_2_add=off:afr=on:afp=10000:afq=2.0:amm=off:anc=none:cond=on:er=filter:fsr=off:nm=0:nwc=1.3:sp=occurrence_4 on theBenchmark 6.91/7.14 % Time limit reached! 6.91/7.14 % ------------------------------ 6.91/7.14 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 6.91/7.14 % Termination reason: Time limit 6.91/7.14 % Termination phase: Saturation 6.91/7.14 6.91/7.14 % Memory used [KB]: 44775 6.91/7.14 % Time elapsed: 0.800 s 6.91/7.14 % ------------------------------ 6.91/7.14 % ------------------------------ 6.91/7.18 % dis+11_1_acc=on:afp=1000:afq=1.4:amm=sco:anc=all_dependent:bs=on:ccuc=small_ones:cond=fast:fde=none:gsp=input_only:nm=64:nwc=1:sac=on:urr=ec_only:updr=off:uhcvi=on_105 on theBenchmark 20.77/20.98 % Time limit reached! 20.77/20.98 % ------------------------------ 20.77/20.98 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 20.77/20.98 % Termination reason: Time limit 20.77/20.98 % Termination phase: Saturation 20.77/20.98 20.77/20.98 % Memory used [KB]: 322254 20.77/20.98 % Time elapsed: 13.800 s 20.77/20.98 % ------------------------------ 20.77/20.98 % ------------------------------ 20.89/21.04 % ott+4_32_av=off:bsr=on:cond=on:er=known:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lma=on:nm=4:nwc=1.2:sos=theory_197 on theBenchmark 46.81/46.84 % Time limit reached! 46.81/46.84 % ------------------------------ 46.81/46.84 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 46.81/46.84 % Termination reason: Time limit 46.81/46.84 % Termination phase: Saturation 46.81/46.84 46.81/46.84 % Memory used [KB]: 343107 46.81/46.84 % Time elapsed: 25.800 s 46.81/46.84 % ------------------------------ 46.81/46.84 % ------------------------------ 46.81/46.90 % lrs+1011_2:3_add=large:afr=on:afp=100000:afq=1.2:anc=none:gs=on:gsem=off:irw=on:nm=64:nwc=1:stl=30:sd=3:ss=axioms:sos=all:sp=reverse_arity_48 on theBenchmark 46.81/46.90 % Refutation not found, incomplete strategy 46.81/46.90 % ------------------------------ 46.81/46.90 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 46.81/46.90 % Termination reason: Refutation not found, incomplete strategy 46.81/46.90 46.81/46.90 % Memory used [KB]: 9594 46.81/46.90 % Time elapsed: 0.001 s 46.81/46.90 % ------------------------------ 46.81/46.90 % ------------------------------ 46.92/46.93 % lrs+11_20_av=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=theory:sp=reverse_arity:uhcvi=on_123 on theBenchmark 54.34/54.30 % Refutation found. Thanks to Tanya! 54.34/54.30 % SZS status Theorem for theBenchmark 54.34/54.30 % SZS output start Proof for theBenchmark 54.34/54.30 fof(f3,axiom,( 54.34/54.30 substitution_of_equivalents <=> ! [X0,X1] : (is_a_theorem(equiv(X0,X1)) => X0 = X1)), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution_of_equivalents)). 54.34/54.30 fof(f7,axiom,( 54.34/54.30 ! [X2,X3,X4] : is_a_theorem(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))) <=> cn1), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn1)). 54.34/54.30 fof(f9,axiom,( 54.34/54.30 cn2 <=> ! [X2,X3] : is_a_theorem(implies(X2,implies(not(X2),X3)))), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn2)). 54.34/54.30 fof(f12,axiom,( 54.34/54.30 modus_ponens <=> ! [X0,X1] : ((is_a_theorem(implies(X0,X1)) & is_a_theorem(X0)) => is_a_theorem(X1))), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens)). 54.34/54.30 fof(f17,axiom,( 54.34/54.30 and_1 <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_1)). 54.34/54.30 fof(f18,axiom,( 54.34/54.30 ! [X2] : is_a_theorem(implies(implies(not(X2),X2),X2)) <=> cn3), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn3)). 54.34/54.30 fof(f27,axiom,( 54.34/54.30 op_or => ! [X0,X1] : not(and(not(X0),not(X1))) = or(X0,X1)), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_or)). 54.34/54.30 fof(f29,axiom,( 54.34/54.30 op_implies_and => ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_and)). 54.34/54.30 fof(f31,axiom,( 54.34/54.30 op_equiv => ! [X0,X1] : and(implies(X0,X1),implies(X1,X0)) = equiv(X0,X1)), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_equiv)). 54.34/54.30 fof(f32,axiom,( 54.34/54.30 op_or), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_op_or)). 54.34/54.30 fof(f33,axiom,( 54.34/54.30 cn3), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn3)). 54.34/54.30 fof(f34,axiom,( 54.34/54.30 substitution_of_equivalents), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution_of_equivalents)). 54.34/54.30 fof(f35,axiom,( 54.34/54.30 cn1), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn1)). 54.34/54.30 fof(f36,axiom,( 54.34/54.30 modus_ponens), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_modus_ponens)). 54.34/54.30 fof(f37,axiom,( 54.34/54.30 cn2), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn2)). 54.34/54.30 fof(f39,axiom,( 54.34/54.30 op_equiv), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_op_equiv)). 54.34/54.30 fof(f40,conjecture,( 54.34/54.30 and_1), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_1)). 54.34/54.30 fof(f41,negated_conjecture,( 54.34/54.30 ~and_1), 54.34/54.30 inference(negated_conjecture,[],[f40])). 54.34/54.30 fof(f43,axiom,( 54.34/54.30 op_implies_and), 54.34/54.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and)). 54.34/54.30 fof(f45,plain,( 54.34/54.30 ~and_1), 54.34/54.30 inference(flattening,[],[f41])). 54.34/54.30 fof(f53,plain,( 54.34/54.30 cn2 <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))), 54.34/54.30 inference(rectify,[],[f9])). 54.34/54.30 fof(f56,plain,( 54.34/54.30 ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) <=> cn3), 54.34/54.30 inference(rectify,[],[f18])). 54.34/54.30 fof(f58,plain,( 54.34/54.30 ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) <=> cn1), 54.34/54.30 inference(rectify,[],[f7])). 54.34/54.30 fof(f59,plain,( 54.34/54.30 cn3 => ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))), 54.34/54.30 inference(unused_predicate_definition_removal,[],[f56])). 54.34/54.30 fof(f60,plain,( 54.34/54.30 ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) => and_1), 54.34/54.30 inference(unused_predicate_definition_removal,[],[f17])). 54.34/54.30 fof(f61,plain,( 54.34/54.30 modus_ponens => ! [X0,X1] : ((is_a_theorem(implies(X0,X1)) & is_a_theorem(X0)) => is_a_theorem(X1))), 54.34/54.30 inference(unused_predicate_definition_removal,[],[f12])). 54.34/54.30 fof(f62,plain,( 54.34/54.30 cn2 => ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))), 54.34/54.30 inference(unused_predicate_definition_removal,[],[f53])). 54.34/54.30 fof(f63,plain,( 54.34/54.30 cn1 => ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))), 54.34/54.30 inference(unused_predicate_definition_removal,[],[f58])). 54.34/54.30 fof(f64,plain,( 54.34/54.30 substitution_of_equivalents => ! [X0,X1] : (is_a_theorem(equiv(X0,X1)) => X0 = X1)), 54.34/54.30 inference(unused_predicate_definition_removal,[],[f3])). 54.34/54.30 fof(f68,plain,( 54.34/54.30 ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) | ~op_implies_and), 54.34/54.30 inference(ennf_transformation,[],[f29])). 54.34/54.30 fof(f69,plain,( 54.34/54.30 ! [X0,X1] : not(and(not(X0),not(X1))) = or(X0,X1) | ~op_or), 54.34/54.30 inference(ennf_transformation,[],[f27])). 54.34/54.30 fof(f70,plain,( 54.34/54.30 ! [X0,X1] : and(implies(X0,X1),implies(X1,X0)) = equiv(X0,X1) | ~op_equiv), 54.34/54.30 inference(ennf_transformation,[],[f31])). 54.34/54.30 fof(f71,plain,( 54.34/54.30 and_1 | ? [X0,X1] : ~is_a_theorem(implies(and(X0,X1),X0))), 54.34/54.30 inference(ennf_transformation,[],[f60])). 54.34/54.30 fof(f72,plain,( 54.34/54.30 ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) | ~cn2), 54.34/54.30 inference(ennf_transformation,[],[f62])). 54.34/54.30 fof(f73,plain,( 54.34/54.30 ! [X0,X1] : (X0 = X1 | ~is_a_theorem(equiv(X0,X1))) | ~substitution_of_equivalents), 54.34/54.30 inference(ennf_transformation,[],[f64])). 54.34/54.30 fof(f74,plain,( 54.34/54.30 ! [X0,X1] : (is_a_theorem(X1) | (~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0))) | ~modus_ponens), 54.34/54.30 inference(ennf_transformation,[],[f61])). 54.34/54.30 fof(f75,plain,( 54.34/54.30 ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0)) | ~modus_ponens), 54.34/54.30 inference(flattening,[],[f74])). 54.34/54.30 fof(f76,plain,( 54.34/54.30 ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) | ~cn3), 54.34/54.30 inference(ennf_transformation,[],[f59])). 54.34/54.30 fof(f77,plain,( 54.34/54.30 ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) | ~cn1), 54.34/54.30 inference(ennf_transformation,[],[f63])). 54.34/54.30 fof(f78,plain,( 54.34/54.30 ? [X0,X1] : ~is_a_theorem(implies(and(X0,X1),X0)) => ~is_a_theorem(implies(and(sK0,sK1),sK0))), 54.34/54.30 introduced(choice_axiom,[])). 54.34/54.30 fof(f79,plain,( 54.34/54.30 and_1 | ~is_a_theorem(implies(and(sK0,sK1),sK0))), 54.34/54.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f71,f78])). 54.34/54.30 fof(f80,plain,( 54.34/54.30 ~and_1), 54.34/54.30 inference(cnf_transformation,[],[f45])). 54.34/54.30 fof(f81,plain,( 54.34/54.30 modus_ponens), 54.34/54.30 inference(cnf_transformation,[],[f36])). 54.34/54.30 fof(f82,plain,( 54.34/54.30 cn1), 54.34/54.30 inference(cnf_transformation,[],[f35])). 54.34/54.30 fof(f83,plain,( 54.34/54.30 cn3), 54.34/54.30 inference(cnf_transformation,[],[f33])). 54.34/54.30 fof(f84,plain,( 54.34/54.30 cn2), 54.34/54.30 inference(cnf_transformation,[],[f37])). 54.34/54.30 fof(f85,plain,( 54.34/54.30 substitution_of_equivalents), 54.34/54.30 inference(cnf_transformation,[],[f34])). 54.34/54.30 fof(f86,plain,( 54.34/54.30 op_implies_and), 54.34/54.30 inference(cnf_transformation,[],[f43])). 54.34/54.30 fof(f87,plain,( 54.34/54.30 op_equiv), 54.34/54.30 inference(cnf_transformation,[],[f39])). 54.34/54.30 fof(f88,plain,( 54.34/54.30 op_or), 54.34/54.30 inference(cnf_transformation,[],[f32])). 54.34/54.30 fof(f91,plain,( 54.34/54.30 ( ! [X0,X1] : (implies(X0,X1) = not(and(X0,not(X1))) | ~op_implies_and) )), 54.34/54.30 inference(cnf_transformation,[],[f68])). 54.34/54.30 fof(f92,plain,( 54.34/54.30 ( ! [X0,X1] : (not(and(not(X0),not(X1))) = or(X0,X1) | ~op_or) )), 54.34/54.30 inference(cnf_transformation,[],[f69])). 54.34/54.30 fof(f93,plain,( 54.34/54.30 ( ! [X0,X1] : (and(implies(X0,X1),implies(X1,X0)) = equiv(X0,X1) | ~op_equiv) )), 54.34/54.30 inference(cnf_transformation,[],[f70])). 54.34/54.30 fof(f94,plain,( 54.34/54.30 and_1 | ~is_a_theorem(implies(and(sK0,sK1),sK0))), 54.34/54.30 inference(cnf_transformation,[],[f79])). 54.34/54.30 fof(f95,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(not(X0),X1))) | ~cn2) )), 54.34/54.30 inference(cnf_transformation,[],[f72])). 54.34/54.30 fof(f96,plain,( 54.34/54.30 ( ! [X0,X1] : (X0 = X1 | ~is_a_theorem(equiv(X0,X1)) | ~substitution_of_equivalents) )), 54.34/54.30 inference(cnf_transformation,[],[f73])). 54.34/54.30 fof(f97,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0) | ~modus_ponens) )), 54.34/54.30 inference(cnf_transformation,[],[f75])). 54.34/54.30 fof(f98,plain,( 54.34/54.30 ( ! [X0] : (is_a_theorem(implies(implies(not(X0),X0),X0)) | ~cn3) )), 54.34/54.30 inference(cnf_transformation,[],[f76])). 54.34/54.30 fof(f99,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) | ~cn1) )), 54.34/54.30 inference(cnf_transformation,[],[f77])). 54.34/54.30 fof(f100,plain,( 54.34/54.30 ( ! [X0,X1] : (implies(X0,X1) = not(and(X0,not(X1)))) )), 54.34/54.30 inference(subsumption_resolution,[],[f91,f86])). 54.34/54.30 fof(f101,plain,( 54.34/54.30 ( ! [X0,X1] : (not(and(not(X0),not(X1))) = or(X0,X1)) )), 54.34/54.30 inference(subsumption_resolution,[],[f92,f88])). 54.34/54.30 fof(f102,plain,( 54.34/54.30 ( ! [X0,X1] : (and(implies(X0,X1),implies(X1,X0)) = equiv(X0,X1)) )), 54.34/54.30 inference(subsumption_resolution,[],[f93,f87])). 54.34/54.30 fof(f103,plain,( 54.34/54.30 ~is_a_theorem(implies(and(sK0,sK1),sK0))), 54.34/54.30 inference(subsumption_resolution,[],[f94,f80])). 54.34/54.30 fof(f104,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(not(X0),X1)))) )), 54.34/54.30 inference(subsumption_resolution,[],[f95,f84])). 54.34/54.30 fof(f105,plain,( 54.34/54.30 ( ! [X0,X1] : (~is_a_theorem(equiv(X0,X1)) | X0 = X1) )), 54.34/54.30 inference(subsumption_resolution,[],[f96,f85])). 54.34/54.30 fof(f106,plain,( 54.34/54.30 ( ! [X0,X1] : (~is_a_theorem(implies(X0,X1)) | is_a_theorem(X1) | ~is_a_theorem(X0)) )), 54.34/54.30 inference(subsumption_resolution,[],[f97,f81])). 54.34/54.30 fof(f107,plain,( 54.34/54.30 ( ! [X0] : (is_a_theorem(implies(implies(not(X0),X0),X0))) )), 54.34/54.30 inference(subsumption_resolution,[],[f98,f83])). 54.34/54.30 fof(f108,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))) )), 54.34/54.30 inference(subsumption_resolution,[],[f99,f82])). 54.34/54.30 fof(f109,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(implies(not(X0),X1)) | ~is_a_theorem(X0)) )), 54.34/54.30 inference(resolution,[],[f106,f104])). 54.34/54.30 fof(f110,plain,( 54.34/54.30 ( ! [X2] : (~is_a_theorem(implies(not(X2),X2)) | is_a_theorem(X2)) )), 54.34/54.30 inference(resolution,[],[f106,f107])). 54.34/54.30 fof(f113,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (implies(X2,and(X0,not(X1))) = not(and(X2,implies(X0,X1)))) )), 54.34/54.30 inference(superposition,[],[f100,f100])). 54.34/54.30 fof(f117,plain,( 54.34/54.30 ( ! [X8,X9] : (is_a_theorem(implies(implies(implies(X8,X9),and(X8,not(X9))),and(X8,not(X9))))) )), 54.34/54.30 inference(superposition,[],[f107,f100])). 54.34/54.30 fof(f118,plain,( 54.34/54.30 ( ! [X12,X10,X11] : (is_a_theorem(implies(and(X10,not(X11)),implies(implies(X10,X11),X12)))) )), 54.34/54.30 inference(superposition,[],[f104,f100])). 54.34/54.30 fof(f119,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (not(and(implies(X0,X1),not(X2))) = or(and(X0,not(X1)),X2)) )), 54.34/54.30 inference(superposition,[],[f101,f100])). 54.34/54.30 fof(f120,plain,( 54.34/54.30 ( ! [X4,X5,X3] : (not(and(or(X3,X4),not(X5))) = or(and(not(X3),not(X4)),X5)) )), 54.34/54.30 inference(superposition,[],[f101,f101])). 54.34/54.30 fof(f123,plain,( 54.34/54.30 ( ! [X2,X3] : (implies(not(X2),X3) = or(X2,X3)) )), 54.34/54.30 inference(superposition,[],[f101,f100])). 54.34/54.30 fof(f126,plain,( 54.34/54.30 ( ! [X6,X7,X5] : (is_a_theorem(implies(and(not(X5),not(X6)),implies(or(X5,X6),X7)))) )), 54.34/54.30 inference(superposition,[],[f104,f101])). 54.34/54.30 fof(f131,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (implies(implies(X0,X1),X2) = or(and(X0,not(X1)),X2)) )), 54.34/54.30 inference(forward_demodulation,[],[f119,f100])). 54.34/54.30 fof(f132,plain,( 54.34/54.30 ( ! [X4,X5,X3] : (implies(implies(not(X3),X4),X5) = not(and(or(X3,X4),not(X5)))) )), 54.34/54.30 inference(forward_demodulation,[],[f120,f131])). 54.34/54.30 fof(f133,plain,( 54.34/54.30 ( ! [X4,X5,X3] : (implies(or(X3,X4),X5) = implies(implies(not(X3),X4),X5)) )), 54.34/54.30 inference(forward_demodulation,[],[f132,f100])). 54.34/54.30 fof(f134,plain,( 54.34/54.30 ( ! [X0] : (is_a_theorem(implies(or(X0,X0),X0))) )), 54.34/54.30 inference(backward_demodulation,[],[f133,f107])). 54.34/54.30 fof(f135,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(or(X0,X1)) | ~is_a_theorem(X0)) )), 54.34/54.30 inference(backward_demodulation,[],[f123,f109])). 54.34/54.30 fof(f136,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(implies(X0,or(X0,X1)))) )), 54.34/54.30 inference(backward_demodulation,[],[f123,f104])). 54.34/54.30 fof(f137,plain,( 54.34/54.30 ( ! [X2] : (~is_a_theorem(or(X2,X2)) | is_a_theorem(X2)) )), 54.34/54.30 inference(backward_demodulation,[],[f123,f110])). 54.34/54.30 fof(f146,plain,( 54.34/54.30 ( ! [X4,X5,X3] : (implies(or(X3,X4),X5) = or(and(not(X3),not(X4)),X5)) )), 54.34/54.30 inference(superposition,[],[f123,f101])). 54.34/54.30 fof(f148,plain,( 54.34/54.30 ( ! [X2,X3] : (and(or(X2,X3),implies(X3,not(X2))) = equiv(not(X2),X3)) )), 54.34/54.30 inference(superposition,[],[f102,f123])). 54.34/54.30 fof(f150,plain,( 54.34/54.30 ( ! [X6,X7] : (is_a_theorem(or(X6,or(not(X6),X7)))) )), 54.34/54.30 inference(superposition,[],[f136,f123])). 54.34/54.30 fof(f174,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) | ~is_a_theorem(implies(X2,X0))) )), 54.34/54.30 inference(resolution,[],[f108,f106])). 54.34/54.30 fof(f175,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),implies(not(X0),X2))))) )), 54.34/54.30 inference(superposition,[],[f108,f123])). 54.34/54.30 fof(f178,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2))))) )), 54.34/54.30 inference(forward_demodulation,[],[f175,f123])). 54.34/54.30 fof(f188,plain,( 54.34/54.30 ( ! [X2,X0,X3,X1] : (implies(implies(X2,and(X0,not(X1))),X3) = or(and(X2,implies(X0,X1)),X3)) )), 54.34/54.30 inference(superposition,[],[f131,f100])). 54.34/54.30 fof(f198,plain,( 54.34/54.30 ( ! [X8,X9] : (is_a_theorem(or(and(implies(X8,X9),implies(X8,X9)),and(X8,not(X9))))) )), 54.34/54.30 inference(backward_demodulation,[],[f188,f117])). 54.34/54.30 fof(f203,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (~is_a_theorem(implies(X1,X2)) | is_a_theorem(implies(X0,X2)) | ~is_a_theorem(implies(X0,X1))) )), 54.34/54.30 inference(resolution,[],[f174,f106])). 54.34/54.30 fof(f204,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (~is_a_theorem(implies(X2,not(X0))) | is_a_theorem(implies(or(X0,X1),implies(X2,X1)))) )), 54.34/54.30 inference(superposition,[],[f174,f123])). 54.34/54.30 fof(f205,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X2,X1),or(X0,X1))) | ~is_a_theorem(implies(not(X0),X2))) )), 54.34/54.30 inference(superposition,[],[f174,f123])). 54.34/54.30 fof(f206,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (~is_a_theorem(or(X0,X2)) | is_a_theorem(implies(implies(X2,X1),or(X0,X1)))) )), 54.34/54.30 inference(forward_demodulation,[],[f205,f123])). 54.34/54.30 fof(f212,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (is_a_theorem(implies(or(X2,not(X0)),implies(or(X0,X1),or(X2,X1))))) )), 54.34/54.30 inference(superposition,[],[f178,f123])). 54.34/54.30 fof(f216,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,or(X1,X2))) | ~is_a_theorem(implies(X0,X1))) )), 54.34/54.30 inference(resolution,[],[f203,f136])). 54.34/54.30 fof(f221,plain,( 54.34/54.30 ( ! [X19,X20] : (~is_a_theorem(implies(X19,or(X20,X20))) | is_a_theorem(implies(X19,X20))) )), 54.34/54.30 inference(resolution,[],[f203,f134])). 54.34/54.30 fof(f229,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (is_a_theorem(or(X0,or(X1,X2))) | ~is_a_theorem(implies(not(X0),X1))) )), 54.34/54.30 inference(superposition,[],[f216,f123])). 54.34/54.30 fof(f230,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (is_a_theorem(or(X0,or(X1,X2))) | ~is_a_theorem(or(X0,X1))) )), 54.34/54.30 inference(forward_demodulation,[],[f229,f123])). 54.34/54.30 fof(f231,plain,( 54.34/54.30 ( ! [X0] : (is_a_theorem(implies(X0,X0))) )), 54.34/54.30 inference(resolution,[],[f221,f136])). 54.34/54.30 fof(f263,plain,( 54.34/54.30 ( ! [X0,X1] : (implies(implies(X0,X1),and(X1,not(X0))) = not(equiv(X0,X1))) )), 54.34/54.30 inference(superposition,[],[f113,f102])). 54.34/54.30 fof(f318,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),or(X2,X1))) | ~is_a_theorem(X2)) )), 54.34/54.30 inference(resolution,[],[f206,f135])). 54.34/54.30 fof(f319,plain,( 54.34/54.30 ( ! [X4,X5,X3] : (is_a_theorem(implies(implies(or(not(X3),X4),X5),or(X3,X5)))) )), 54.34/54.30 inference(resolution,[],[f206,f150])). 54.34/54.30 fof(f326,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(implies(implies(X1,X0),X0)) | ~is_a_theorem(X0)) )), 54.34/54.30 inference(resolution,[],[f318,f221])). 54.34/54.30 fof(f330,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (is_a_theorem(implies(or(X0,X1),or(X2,X1))) | ~is_a_theorem(X2)) )), 54.34/54.30 inference(superposition,[],[f318,f123])). 54.34/54.30 fof(f336,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(implies(or(X0,X1),X1)) | ~is_a_theorem(X1)) )), 54.34/54.30 inference(superposition,[],[f326,f123])). 54.34/54.30 fof(f338,plain,( 54.34/54.30 ( ! [X4,X5,X3] : (~is_a_theorem(implies(X4,or(X5,X3))) | is_a_theorem(implies(X4,X3)) | ~is_a_theorem(X3)) )), 54.34/54.30 inference(resolution,[],[f336,f203])). 54.34/54.30 fof(f348,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(implies(implies(or(not(X0),X1),X0),X0))) )), 54.34/54.30 inference(resolution,[],[f319,f221])). 54.34/54.30 fof(f351,plain,( 54.34/54.30 ( ! [X12,X10,X11] : (~is_a_theorem(implies(or(not(X10),X12),X11)) | is_a_theorem(or(X10,X11))) )), 54.34/54.30 inference(resolution,[],[f319,f106])). 54.34/54.30 fof(f361,plain,( 54.34/54.30 ( ! [X4,X5,X3] : (~is_a_theorem(implies(X3,implies(or(not(X4),X5),X4))) | is_a_theorem(implies(X3,X4))) )), 54.34/54.30 inference(resolution,[],[f348,f203])). 54.34/54.30 fof(f394,plain,( 54.34/54.30 ( ! [X2,X1] : (is_a_theorem(or(X1,X2)) | ~is_a_theorem(X2)) )), 54.34/54.30 inference(resolution,[],[f351,f336])). 54.34/54.30 fof(f396,plain,( 54.34/54.30 ( ! [X6,X8,X7] : (is_a_theorem(or(X6,implies(implies(X7,X8),or(not(X6),X8))))) )), 54.34/54.30 inference(resolution,[],[f351,f178])). 54.34/54.30 fof(f397,plain,( 54.34/54.30 ( ! [X10,X11,X9] : (is_a_theorem(or(X9,or(X10,X11))) | ~is_a_theorem(X10)) )), 54.34/54.30 inference(resolution,[],[f351,f330])). 54.34/54.30 fof(f409,plain,( 54.34/54.30 ( ! [X0] : (is_a_theorem(or(equiv(X0,X0),and(X0,not(X0))))) )), 54.34/54.30 inference(superposition,[],[f198,f102])). 54.34/54.30 fof(f421,plain,( 54.34/54.30 ( ! [X6,X7,X5] : (is_a_theorem(implies(implies(X5,X6),or(X7,X6))) | ~is_a_theorem(X5)) )), 54.34/54.30 inference(resolution,[],[f394,f206])). 54.34/54.30 fof(f429,plain,( 54.34/54.30 ( ! [X10,X8,X7,X9] : (is_a_theorem(implies(implies(or(X7,X8),X9),or(X10,X9))) | ~is_a_theorem(X7)) )), 54.34/54.30 inference(resolution,[],[f397,f206])). 54.34/54.30 fof(f453,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(implies(implies(and(X0,not(X0)),X1),or(equiv(X0,X0),X1)))) )), 54.34/54.30 inference(resolution,[],[f409,f206])). 54.34/54.30 fof(f473,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(implies(implies(X0,X1),X1)) | ~is_a_theorem(X0)) )), 54.34/54.30 inference(resolution,[],[f421,f221])). 54.34/54.30 fof(f480,plain,( 54.34/54.30 ( ! [X4,X5,X3] : (~is_a_theorem(implies(X4,implies(X3,X5))) | is_a_theorem(implies(X4,X5)) | ~is_a_theorem(X3)) )), 54.34/54.30 inference(resolution,[],[f473,f203])). 54.34/54.30 fof(f482,plain,( 54.34/54.30 ( ! [X8,X9] : (is_a_theorem(implies(implies(X8,or(X9,X9)),X9)) | ~is_a_theorem(X8)) )), 54.34/54.30 inference(resolution,[],[f473,f221])). 54.34/54.30 fof(f537,plain,( 54.34/54.30 ( ! [X10,X9] : (~is_a_theorem(implies(X9,or(X10,X10))) | is_a_theorem(X10) | ~is_a_theorem(X9)) )), 54.34/54.30 inference(resolution,[],[f482,f106])). 54.34/54.30 fof(f586,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (is_a_theorem(or(X2,implies(or(X0,X1),or(not(X2),X1))))) )), 54.34/54.30 inference(superposition,[],[f396,f123])). 54.34/54.30 fof(f1079,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X1)) )), 54.34/54.30 inference(resolution,[],[f338,f136])). 54.34/54.30 fof(f1189,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (~is_a_theorem(implies(or(X0,X2),X1)) | is_a_theorem(X1) | ~is_a_theorem(X0)) )), 54.34/54.30 inference(resolution,[],[f429,f537])). 54.34/54.30 fof(f2472,plain,( 54.34/54.30 ( ! [X12,X10,X11] : (~is_a_theorem(implies(X12,X11)) | ~is_a_theorem(X12) | is_a_theorem(implies(X10,X11))) )), 54.34/54.30 inference(resolution,[],[f480,f1079])). 54.34/54.30 fof(f2473,plain,( 54.34/54.30 ( ! [X14,X15,X13] : (is_a_theorem(implies(and(X13,not(X14)),X15)) | ~is_a_theorem(implies(X13,X14))) )), 54.34/54.30 inference(resolution,[],[f480,f118])). 54.34/54.30 fof(f2480,plain,( 54.34/54.30 ( ! [X41,X42,X40] : (~is_a_theorem(implies(X42,X40)) | ~is_a_theorem(X42) | is_a_theorem(implies(implies(X40,X41),X41))) )), 54.34/54.30 inference(resolution,[],[f480,f174])). 54.34/54.30 fof(f2489,plain,( 54.34/54.30 ( ! [X72,X71,X73] : (is_a_theorem(implies(or(X71,X72),or(X71,X73))) | ~is_a_theorem(implies(X72,X73))) )), 54.34/54.30 inference(resolution,[],[f480,f178])). 54.34/54.30 fof(f3704,plain,( 54.34/54.30 ( ! [X8,X7] : (implies(or(X7,X8),and(X8,not(not(X7)))) = not(equiv(not(X7),X8))) )), 54.34/54.30 inference(superposition,[],[f113,f148])). 54.34/54.30 fof(f3811,plain,( 54.34/54.30 ( ! [X24,X23] : (~is_a_theorem(or(X24,X23)) | is_a_theorem(X24) | ~is_a_theorem(implies(X23,X24))) )), 54.34/54.30 inference(resolution,[],[f2489,f537])). 54.34/54.30 fof(f3812,plain,( 54.34/54.30 ( ! [X26,X25] : (is_a_theorem(implies(or(X26,X25),X26)) | ~is_a_theorem(implies(X25,X26))) )), 54.34/54.30 inference(resolution,[],[f2489,f221])). 54.34/54.30 fof(f3846,plain,( 54.34/54.30 ( ! [X33,X31,X32] : (~is_a_theorem(implies(or(X32,X33),X31)) | is_a_theorem(X31) | ~is_a_theorem(or(X31,X32))) )), 54.34/54.30 inference(resolution,[],[f3811,f230])). 54.34/54.30 fof(f3860,plain,( 54.34/54.30 ( ! [X84] : (~is_a_theorem(implies(and(X84,not(X84)),equiv(X84,X84))) | is_a_theorem(equiv(X84,X84))) )), 54.34/54.30 inference(resolution,[],[f3811,f409])). 54.34/54.30 fof(f3889,plain,( 54.34/54.30 ( ! [X45,X43,X44] : (~is_a_theorem(or(X44,X43)) | ~is_a_theorem(implies(X43,X44)) | is_a_theorem(implies(X45,X44))) )), 54.34/54.30 inference(resolution,[],[f3812,f2472])). 54.34/54.30 fof(f5212,plain,( 54.34/54.30 ( ! [X64,X63] : (is_a_theorem(implies(or(X63,X64),implies(or(not(X63),not(X63)),X64)))) )), 54.34/54.30 inference(resolution,[],[f204,f134])). 54.34/54.30 fof(f5250,plain,( 54.34/54.30 ( ! [X23,X22] : (is_a_theorem(implies(or(not(X22),not(X22)),X23)) | ~is_a_theorem(or(X22,X23))) )), 54.34/54.30 inference(resolution,[],[f5212,f106])). 54.34/54.30 fof(f5886,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(implies(and(X0,not(X1)),not(equiv(X0,X1))))) )), 54.34/54.30 inference(superposition,[],[f118,f263])). 54.34/54.30 fof(f5924,plain,( 54.34/54.30 ( ! [X112,X113] : (is_a_theorem(implies(not(equiv(X112,X113)),and(X113,not(X112)))) | ~is_a_theorem(implies(X112,X113))) )), 54.34/54.30 inference(superposition,[],[f473,f263])). 54.34/54.30 fof(f5990,plain,( 54.34/54.30 ( ! [X112,X113] : (is_a_theorem(or(equiv(X112,X113),and(X113,not(X112)))) | ~is_a_theorem(implies(X112,X113))) )), 54.34/54.30 inference(forward_demodulation,[],[f5924,f123])). 54.34/54.30 fof(f6016,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (is_a_theorem(implies(or(equiv(X0,X1),X2),implies(and(X0,not(X1)),X2)))) )), 54.34/54.30 inference(resolution,[],[f5886,f204])). 54.34/54.30 fof(f7708,plain,( 54.34/54.30 ( ! [X180,X181] : (~is_a_theorem(implies(and(X180,not(X180)),equiv(X180,X180))) | is_a_theorem(implies(X181,equiv(X180,X180)))) )), 54.34/54.30 inference(resolution,[],[f3889,f409])). 54.34/54.30 fof(f9558,plain,( 54.34/54.30 ( ! [X7] : (is_a_theorem(implies(implies(and(X7,not(X7)),equiv(X7,X7)),equiv(X7,X7)))) )), 54.34/54.30 inference(resolution,[],[f453,f221])). 54.34/54.30 fof(f9624,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (~is_a_theorem(equiv(X0,X1)) | is_a_theorem(implies(and(X0,not(X1)),X2))) )), 54.34/54.30 inference(resolution,[],[f6016,f1189])). 54.34/54.30 fof(f11001,plain,( 54.34/54.30 ( ! [X26,X27] : (~is_a_theorem(implies(and(X26,not(X26)),equiv(X26,X26))) | is_a_theorem(implies(implies(equiv(X26,X26),X27),X27))) )), 54.34/54.30 inference(resolution,[],[f9558,f2480])). 54.34/54.30 fof(f17616,plain,( 54.34/54.30 ( ! [X17,X18] : (is_a_theorem(implies(and(not(not(X17)),not(X18)),X17))) )), 54.34/54.30 inference(resolution,[],[f361,f126])). 54.34/54.30 fof(f17626,plain,( 54.34/54.30 ( ! [X52,X53,X51] : (~is_a_theorem(implies(or(not(X52),X53),X51)) | is_a_theorem(implies(implies(X51,X52),X52))) )), 54.34/54.30 inference(resolution,[],[f361,f174])). 54.34/54.30 fof(f17655,plain,( 54.34/54.30 ( ! [X163,X162] : (is_a_theorem(implies(or(X162,not(not(or(X162,X163)))),or(X162,X163)))) )), 54.34/54.30 inference(resolution,[],[f361,f212])). 54.34/54.30 fof(f17716,plain,( 54.34/54.30 ( ! [X4,X5,X3] : (is_a_theorem(implies(and(not(not(X5)),or(X3,X4)),X5))) )), 54.34/54.30 inference(superposition,[],[f17616,f101])). 54.34/54.30 fof(f17940,plain,( 54.34/54.30 ( ! [X46] : (is_a_theorem(implies(or(X46,not(not(or(X46,X46)))),X46))) )), 54.34/54.30 inference(resolution,[],[f17655,f221])). 54.34/54.30 fof(f19849,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(implies(implies(X0,X1),X1)) | ~is_a_theorem(or(X1,X0))) )), 54.34/54.30 inference(resolution,[],[f17626,f5250])). 54.34/54.30 fof(f20550,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(implies(or(X0,X1),X1)) | ~is_a_theorem(or(X1,not(X0)))) )), 54.34/54.30 inference(superposition,[],[f19849,f123])). 54.34/54.30 fof(f20571,plain,( 54.34/54.30 ( ! [X10,X11] : (~is_a_theorem(or(X10,not(not(X11)))) | is_a_theorem(implies(implies(X10,X11),X11))) )), 54.34/54.30 inference(resolution,[],[f20550,f17626])). 54.34/54.30 fof(f20574,plain,( 54.34/54.30 ( ! [X19,X18] : (~is_a_theorem(or(X18,not(not(X19)))) | is_a_theorem(or(X19,X18))) )), 54.34/54.30 inference(resolution,[],[f20550,f351])). 54.34/54.30 fof(f20583,plain,( 54.34/54.30 ( ! [X43,X42] : (~is_a_theorem(or(X42,not(X43))) | is_a_theorem(X42) | ~is_a_theorem(or(X42,X43))) )), 54.34/54.30 inference(resolution,[],[f20550,f3846])). 54.34/54.30 fof(f21683,plain,( 54.34/54.30 ( ! [X2,X1] : (~is_a_theorem(not(X2)) | ~is_a_theorem(or(X1,X2)) | is_a_theorem(X1)) )), 54.34/54.30 inference(resolution,[],[f20583,f394])). 54.34/54.30 fof(f21759,plain,( 54.34/54.30 ( ! [X2,X0,X1] : (~is_a_theorem(or(X2,and(X0,not(X1)))) | ~is_a_theorem(implies(X0,X1)) | is_a_theorem(X2)) )), 54.34/54.30 inference(superposition,[],[f21683,f100])). 54.34/54.30 fof(f38717,plain,( 54.34/54.30 ( ! [X1] : (is_a_theorem(equiv(X1,X1)) | ~is_a_theorem(implies(X1,X1))) )), 54.34/54.30 inference(resolution,[],[f3860,f2473])). 54.34/54.30 fof(f38732,plain,( 54.34/54.30 ( ! [X1] : (is_a_theorem(equiv(X1,X1))) )), 54.34/54.30 inference(subsumption_resolution,[],[f38717,f231])). 54.34/54.30 fof(f39560,plain,( 54.34/54.30 ( ! [X10,X11] : (is_a_theorem(implies(and(X10,not(X10)),X11))) )), 54.34/54.30 inference(resolution,[],[f38732,f9624])). 54.34/54.30 fof(f39587,plain,( 54.34/54.30 ( ! [X180,X181] : (is_a_theorem(implies(X181,equiv(X180,X180)))) )), 54.34/54.30 inference(subsumption_resolution,[],[f7708,f39560])). 54.34/54.30 fof(f39592,plain,( 54.34/54.30 ( ! [X26,X27] : (is_a_theorem(implies(implies(equiv(X26,X26),X27),X27))) )), 54.34/54.30 inference(subsumption_resolution,[],[f11001,f39560])). 54.34/54.30 fof(f39781,plain,( 54.34/54.30 ( ! [X4,X2,X3] : (~is_a_theorem(implies(X2,and(X4,not(X4)))) | is_a_theorem(implies(X2,X3))) )), 54.34/54.30 inference(resolution,[],[f39560,f203])). 54.34/54.30 fof(f45780,plain,( 54.34/54.30 ( ! [X154,X155,X153] : (is_a_theorem(implies(implies(equiv(X153,X153),and(X154,not(X154))),X155))) )), 54.34/54.30 inference(resolution,[],[f39781,f39592])). 54.34/54.30 fof(f45864,plain,( 54.34/54.30 ( ! [X154,X155,X153] : (is_a_theorem(or(and(equiv(X153,X153),implies(X154,X154)),X155))) )), 54.34/54.30 inference(forward_demodulation,[],[f45780,f188])). 54.34/54.30 fof(f46207,plain,( 54.34/54.30 ( ! [X0,X1] : (is_a_theorem(and(equiv(X0,X0),implies(X1,X1)))) )), 54.34/54.30 inference(resolution,[],[f45864,f137])). 54.34/54.30 fof(f117021,plain,( 54.34/54.30 ( ! [X356,X357] : (is_a_theorem(equiv(X357,X356)) | ~is_a_theorem(implies(X356,X357)) | ~is_a_theorem(implies(X357,X356))) )), 54.34/54.30 inference(resolution,[],[f21759,f5990])). 54.34/54.30 fof(f117197,plain,( 54.34/54.30 ( ! [X0,X1] : (~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(implies(X0,X1)) | X0 = X1) )), 54.34/54.30 inference(resolution,[],[f117021,f105])). 54.34/54.30 fof(f117239,plain,( 54.34/54.30 ( ! [X2,X1] : (~is_a_theorem(implies(X1,X2)) | X1 = X2 | ~is_a_theorem(X1)) )), 54.34/54.30 inference(resolution,[],[f117197,f1079])). 54.34/54.30 fof(f117596,plain,( 54.34/54.30 ( ! [X1360] : (~is_a_theorem(implies(X1360,or(X1360,X1360))) | or(X1360,X1360) = X1360) )), 54.34/54.30 inference(resolution,[],[f117197,f134])). 54.34/54.30 fof(f117597,plain,( 54.34/54.30 ( ! [X1362,X1361] : (~is_a_theorem(implies(X1361,or(X1361,X1362))) | or(X1361,X1362) = X1361 | ~is_a_theorem(implies(X1362,X1361))) )), 54.34/54.30 inference(resolution,[],[f117197,f3812])). 54.34/54.30 fof(f117598,plain,( 54.34/54.30 ( ! [X1363] : (~is_a_theorem(implies(X1363,or(X1363,not(not(or(X1363,X1363)))))) | or(X1363,not(not(or(X1363,X1363)))) = X1363) )), 54.34/54.30 inference(resolution,[],[f117197,f17940])). 54.34/54.30 fof(f117648,plain,( 54.34/54.30 ( ! [X1360] : (or(X1360,X1360) = X1360) )), 54.34/54.30 inference(subsumption_resolution,[],[f117596,f136])). 54.34/54.30 fof(f119508,plain,( 54.34/54.30 ( ! [X1362,X1361] : (~is_a_theorem(implies(X1362,X1361)) | or(X1361,X1362) = X1361) )), 54.34/54.30 inference(subsumption_resolution,[],[f117597,f136])). 54.34/54.30 fof(f119509,plain,( 54.34/54.30 ( ! [X1363] : (or(X1363,not(not(or(X1363,X1363)))) = X1363) )), 54.34/54.30 inference(subsumption_resolution,[],[f117598,f136])). 54.34/54.30 fof(f119510,plain,( 54.34/54.30 ( ! [X1363] : (or(X1363,not(not(X1363))) = X1363) )), 54.34/54.30 inference(forward_demodulation,[],[f119509,f117648])). 54.34/54.30 fof(f119830,plain,( 54.34/54.30 ( ! [X847,X846] : (is_a_theorem(implies(and(not(not(X847)),X846),X847))) )), 54.34/54.30 inference(superposition,[],[f17716,f117648])). 54.34/54.30 fof(f121581,plain,( 54.34/54.30 ( ! [X2,X3] : (and(not(X2),not(X3)) = implies(or(X2,X3),not(not(and(not(X2),not(X3)))))) )), 54.34/54.30 inference(superposition,[],[f119510,f146])). 54.34/54.30 fof(f121609,plain,( 54.34/54.30 ( ! [X43] : (and(X43,implies(not(not(X43)),not(X43))) = equiv(not(X43),not(not(X43)))) )), 54.34/54.30 inference(superposition,[],[f148,f119510])). 54.34/54.30 fof(f122496,plain,( 54.34/54.30 ( ! [X2,X3] : (and(not(X2),not(X3)) = implies(or(X2,X3),not(implies(not(X2),X3)))) )), 54.34/54.30 inference(forward_demodulation,[],[f121581,f100])). 54.34/54.30 fof(f122497,plain,( 54.34/54.30 ( ! [X2,X3] : (and(not(X2),not(X3)) = implies(or(X2,X3),not(or(X2,X3)))) )), 54.34/54.30 inference(forward_demodulation,[],[f122496,f123])). 54.34/54.30 fof(f122567,plain,( 54.34/54.30 ( ! [X43] : (and(X43,or(not(X43),not(X43))) = equiv(not(X43),not(not(X43)))) )), 54.34/54.30 inference(forward_demodulation,[],[f121609,f123])). 54.34/54.30 fof(f122568,plain,( 54.34/54.30 ( ! [X43] : (and(X43,not(X43)) = equiv(not(X43),not(not(X43)))) )), 54.34/54.30 inference(forward_demodulation,[],[f122567,f117648])). 54.34/54.30 fof(f125064,plain,( 54.34/54.30 ( ! [X142,X143] : (~is_a_theorem(X142) | equiv(X143,X143) = X142) )), 54.34/54.30 inference(resolution,[],[f117239,f39587])). 54.34/54.30 fof(f136864,plain,( 54.34/54.30 ( ! [X405,X404] : (or(X404,and(X405,not(X405))) = X404) )), 54.34/54.30 inference(resolution,[],[f119508,f39560])). 54.34/54.30 fof(f137175,plain,( 54.34/54.30 ( ! [X200,X199,X201] : (is_a_theorem(or(X201,implies(X199,or(not(X201),and(X200,not(X200))))))) )), 54.34/54.30 inference(superposition,[],[f586,f136864])). 54.34/54.30 fof(f137852,plain,( 54.34/54.30 ( ! [X199,X201] : (is_a_theorem(or(X201,implies(X199,not(X201))))) )), 54.34/54.30 inference(forward_demodulation,[],[f137175,f136864])). 54.34/54.30 fof(f137997,plain,( 54.34/54.30 ( ! [X39] : (implies(X39,and(not(not(X39)),not(not(X39)))) = not(equiv(not(X39),not(not(X39))))) )), 54.34/54.30 inference(superposition,[],[f3704,f119510])). 54.34/54.30 fof(f138209,plain,( 54.34/54.30 ( ! [X39] : (implies(X39,and(not(not(X39)),not(not(X39)))) = not(and(X39,not(X39)))) )), 54.34/54.30 inference(forward_demodulation,[],[f137997,f122568])). 54.34/54.30 fof(f138210,plain,( 54.34/54.30 ( ! [X39] : (implies(X39,X39) = implies(X39,and(not(not(X39)),not(not(X39))))) )), 54.34/54.30 inference(forward_demodulation,[],[f138209,f100])). 54.34/54.30 fof(f138256,plain,( 54.34/54.30 ( ! [X12,X13] : (is_a_theorem(or(X13,or(X12,not(X13))))) )), 54.34/54.30 inference(superposition,[],[f137852,f123])). 54.34/54.30 fof(f138298,plain,( 54.34/54.30 ( ! [X25] : (is_a_theorem(or(not(X25),X25))) )), 54.34/54.30 inference(superposition,[],[f138256,f119510])). 54.34/54.30 fof(f138357,plain,( 54.34/54.30 ( ! [X77] : (is_a_theorem(or(X77,not(not(not(X77)))))) )), 54.34/54.30 inference(resolution,[],[f138298,f20574])). 54.34/54.30 fof(f138373,plain,( 54.34/54.30 ( ! [X107,X108] : (equiv(X107,X107) = or(not(X108),X108)) )), 54.34/54.30 inference(resolution,[],[f138298,f125064])). 54.34/54.30 fof(f138700,plain,( 54.34/54.30 ( ! [X7] : (is_a_theorem(implies(implies(X7,not(X7)),not(X7)))) )), 54.34/54.30 inference(resolution,[],[f138357,f20571])). 54.34/54.30 fof(f142776,plain,( 54.34/54.30 ( ! [X528,X529] : (and(equiv(X529,X529),implies(X528,not(not(X528)))) = equiv(not(not(X528)),X528)) )), 54.34/54.30 inference(superposition,[],[f148,f138373])). 54.34/54.30 fof(f144323,plain,( 54.34/54.30 ( ! [X66] : (~is_a_theorem(implies(not(X66),implies(X66,not(X66)))) | implies(X66,not(X66)) = not(X66)) )), 54.34/54.30 inference(resolution,[],[f138700,f117197])). 54.34/54.30 fof(f144344,plain,( 54.34/54.30 ( ! [X66] : (~is_a_theorem(or(X66,implies(X66,not(X66)))) | implies(X66,not(X66)) = not(X66)) )), 54.34/54.30 inference(forward_demodulation,[],[f144323,f123])). 54.34/54.30 fof(f144345,plain,( 54.34/54.30 ( ! [X66] : (implies(X66,not(X66)) = not(X66)) )), 54.34/54.30 inference(subsumption_resolution,[],[f144344,f137852])). 54.34/54.30 fof(f144365,plain,( 54.34/54.30 ( ! [X2,X3] : (and(not(X2),not(X3)) = not(or(X2,X3))) )), 54.34/54.30 inference(backward_demodulation,[],[f144345,f122497])). 54.34/54.30 fof(f145433,plain,( 54.34/54.30 ( ! [X39] : (implies(X39,X39) = implies(X39,not(or(not(X39),not(X39))))) )), 54.34/54.30 inference(backward_demodulation,[],[f144365,f138210])). 54.34/54.30 fof(f147440,plain,( 54.34/54.30 ( ! [X39] : (implies(X39,X39) = implies(X39,not(not(X39)))) )), 54.34/54.30 inference(forward_demodulation,[],[f145433,f117648])). 54.34/54.30 fof(f147441,plain,( 54.34/54.30 ( ! [X528,X529] : (and(equiv(X529,X529),implies(X528,X528)) = equiv(not(not(X528)),X528)) )), 54.34/54.30 inference(backward_demodulation,[],[f147440,f142776])). 54.34/54.30 fof(f147447,plain,( 54.34/54.30 ( ! [X1] : (is_a_theorem(equiv(not(not(X1)),X1))) )), 54.34/54.30 inference(backward_demodulation,[],[f147441,f46207])). 54.34/54.30 fof(f147566,plain,( 54.34/54.30 ( ! [X4] : (not(not(X4)) = X4) )), 54.34/54.30 inference(resolution,[],[f147447,f105])). 54.34/54.30 fof(f147899,plain,( 54.34/54.30 ( ! [X847,X846] : (is_a_theorem(implies(and(X847,X846),X847))) )), 54.34/54.30 inference(backward_demodulation,[],[f147566,f119830])). 54.34/54.30 fof(f148572,plain,( 54.34/54.30 $false), 54.34/54.30 inference(subsumption_resolution,[],[f103,f147899])). 54.34/54.30 % SZS output end Proof for theBenchmark 54.34/54.30 % ------------------------------ 54.34/54.30 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 54.34/54.30 % Termination reason: Refutation 54.34/54.30 54.34/54.30 % Memory used [KB]: 91469 54.34/54.30 % Time elapsed: 7.365 s 54.34/54.30 % ------------------------------ 54.34/54.30 % ------------------------------ 54.34/54.31 % Success in time 54.046 s 54.34/54.31 EOF