0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : iproveropt_run.sh %d %s 0.10/0.30 % Computer : n012.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Thu Jul 2 08:20:36 EDT 2020 0.10/0.30 % CPUTime : 0.10/0.30 % Running in FOF mode 174.16/22.47 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p 174.16/22.47 174.16/22.47 %---------------- iProver v3.3 (CASC-J10 2020) ----------------% 174.16/22.47 174.16/22.47 ------ iProver source info 174.16/22.47 174.16/22.47 git: date: 2020-06-30 10:37:57 +0100 174.16/22.47 git: sha1: e3013b43002810b07ddde22341e87fe21d0d6388 174.16/22.47 git: non_committed_changes: false 174.16/22.47 git: last_make_outside_of_git: false 174.16/22.47 174.16/22.47 ------ 174.16/22.47 ------ Parsing... 174.16/22.47 ------ Clausification by vclausify_rel & Parsing by iProver... 174.16/22.47 174.16/22.47 ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 1 0s sf_e pe_s pe_e 174.16/22.47 174.16/22.47 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 174.16/22.47 174.16/22.47 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 174.16/22.47 ------ Proving... 174.16/22.47 ------ Problem Properties 174.16/22.47 174.16/22.47 174.16/22.47 clauses 51 174.16/22.47 conjectures 1 174.16/22.47 EPR 15 174.16/22.47 Horn 34 174.16/22.47 unary 24 174.16/22.47 binary 19 174.16/22.47 lits 88 174.16/22.47 lits eq 35 174.16/22.47 fd_pure 0 174.16/22.47 fd_pseudo 0 174.16/22.47 fd_cond 1 174.16/22.47 fd_pseudo_cond 0 174.16/22.47 AC symbols 0 174.16/22.47 174.16/22.47 ------ Input Options Time Limit: Unbounded 174.16/22.47 174.16/22.47 174.16/22.47 ------ 174.16/22.47 Current options: 174.16/22.47 ------ 174.16/22.47 174.16/22.47 174.16/22.47 174.16/22.47 174.16/22.47 ------ Proving... 174.16/22.47 174.16/22.47 174.16/22.47 % SZS status Theorem for theBenchmark.p 174.16/22.47 174.16/22.47 % SZS output start CNFRefutation for theBenchmark.p 174.16/22.47 174.16/22.47 fof(f26,axiom,( 174.16/22.47 ! [X0] : true = lazy_impl(false,X0)), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f165,plain,( 174.16/22.47 ( ! [X0] : (true = lazy_impl(false,X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f26])). 174.16/22.47 174.16/22.47 fof(f2,axiom,( 174.16/22.47 false = false1), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f128,plain,( 174.16/22.47 false = false1), 174.16/22.47 inference(cnf_transformation,[],[f2])). 174.16/22.47 174.16/22.47 fof(f221,plain,( 174.16/22.47 ( ! [X0] : (true = lazy_impl(false1,X0)) )), 174.16/22.47 inference(definition_unfolding,[],[f165,f128])). 174.16/22.47 174.16/22.47 fof(f13,axiom,( 174.16/22.47 ! [X6] : (~bool(X6) <=> false = prop(X6))), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f53,plain,( 174.16/22.47 ! [X0] : (~bool(X0) <=> false = prop(X0))), 174.16/22.47 inference(rectify,[],[f13])). 174.16/22.47 174.16/22.47 fof(f109,plain,( 174.16/22.47 ! [X0] : ((~bool(X0) | false != prop(X0)) & (false = prop(X0) | bool(X0)))), 174.16/22.47 inference(nnf_transformation,[],[f53])). 174.16/22.47 174.16/22.47 fof(f140,plain,( 174.16/22.47 ( ! [X0] : (false = prop(X0) | bool(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f109])). 174.16/22.47 174.16/22.47 fof(f208,plain,( 174.16/22.47 ( ! [X0] : (false1 = prop(X0) | bool(X0)) )), 174.16/22.47 inference(definition_unfolding,[],[f140,f128])). 174.16/22.47 174.16/22.47 fof(f41,axiom,( 174.16/22.47 ! [X6] : ((true = X6 | false = X6) <=> bool(X6))), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f72,plain,( 174.16/22.47 ! [X0] : ((true = X0 | false = X0) <=> bool(X0))), 174.16/22.47 inference(rectify,[],[f41])). 174.16/22.47 174.16/22.47 fof(f120,plain,( 174.16/22.47 ! [X0] : (((true = X0 | false = X0) | ~bool(X0)) & (bool(X0) | (true != X0 & false != X0)))), 174.16/22.47 inference(nnf_transformation,[],[f72])). 174.16/22.47 174.16/22.47 fof(f121,plain,( 174.16/22.47 ! [X0] : ((true = X0 | false = X0 | ~bool(X0)) & (bool(X0) | (true != X0 & false != X0)))), 174.16/22.47 inference(flattening,[],[f120])). 174.16/22.47 174.16/22.47 fof(f187,plain,( 174.16/22.47 ( ! [X0] : (true = X0 | false = X0 | ~bool(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f121])). 174.16/22.47 174.16/22.47 fof(f233,plain,( 174.16/22.47 ( ! [X0] : (true = X0 | false1 = X0 | ~bool(X0)) )), 174.16/22.47 inference(definition_unfolding,[],[f187,f128])). 174.16/22.47 174.16/22.47 fof(f17,axiom,( 174.16/22.47 ? [X1] : (phi(f7(X1)) = false2 & ~? [X7] : forallprefers(f7(X7),f7(X1)))), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f56,plain,( 174.16/22.47 ? [X0] : (phi(f7(X0)) = false2 & ~? [X1] : forallprefers(f7(X1),f7(X0)))), 174.16/22.47 inference(rectify,[],[f17])). 174.16/22.47 174.16/22.47 fof(f90,plain,( 174.16/22.47 ? [X0] : (phi(f7(X0)) = false2 & ! [X1] : ~forallprefers(f7(X1),f7(X0)))), 174.16/22.47 inference(ennf_transformation,[],[f56])). 174.16/22.47 174.16/22.47 fof(f110,plain,( 174.16/22.47 ? [X0] : (phi(f7(X0)) = false2 & ! [X1] : ~forallprefers(f7(X1),f7(X0))) => (phi(f7(sK1)) = false2 & ! [X1] : ~forallprefers(f7(X1),f7(sK1)))), 174.16/22.47 introduced(choice_axiom,[])). 174.16/22.47 174.16/22.47 fof(f111,plain,( 174.16/22.47 phi(f7(sK1)) = false2 & ! [X1] : ~forallprefers(f7(X1),f7(sK1))), 174.16/22.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f90,f110])). 174.16/22.47 174.16/22.47 fof(f146,plain,( 174.16/22.47 phi(f7(sK1)) = false2), 174.16/22.47 inference(cnf_transformation,[],[f111])). 174.16/22.47 174.16/22.47 fof(f3,axiom,( 174.16/22.47 ! [X0] : phi(X0) = lazy_impl(true,X0)), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f129,plain,( 174.16/22.47 ( ! [X0] : (phi(X0) = lazy_impl(true,X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f3])). 174.16/22.47 174.16/22.47 fof(f32,axiom,( 174.16/22.47 ! [X1] : lazy_impl(prop(X1),X1) = f7(X1)), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f66,plain,( 174.16/22.47 ! [X0] : lazy_impl(prop(X0),X0) = f7(X0)), 174.16/22.47 inference(rectify,[],[f32])). 174.16/22.47 174.16/22.47 fof(f172,plain,( 174.16/22.47 ( ! [X0] : (lazy_impl(prop(X0),X0) = f7(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f66])). 174.16/22.47 174.16/22.47 fof(f211,plain,( 174.16/22.47 lazy_impl(true,lazy_impl(prop(sK1),sK1)) = false2), 174.16/22.47 inference(definition_unfolding,[],[f146,f129,f172])). 174.16/22.47 174.16/22.47 fof(f23,axiom,( 174.16/22.47 ! [X6,X8] : (forallprefers(X6,X8) <=> ((bool(X8) & ~bool(X6) & d(X6) & d(X8)) | (false = X6 & true = X8) | (d(X8) & ~d(X6))))), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f60,plain,( 174.16/22.47 ! [X0,X1] : (forallprefers(X0,X1) <=> ((bool(X1) & ~bool(X0) & d(X0) & d(X1)) | (false = X0 & true = X1) | (d(X1) & ~d(X0))))), 174.16/22.47 inference(rectify,[],[f23])). 174.16/22.47 174.16/22.47 fof(f78,plain,( 174.16/22.47 ! [X0,X1] : (((bool(X1) & ~bool(X0) & d(X0) & d(X1)) | (false = X0 & true = X1) | (d(X1) & ~d(X0))) => forallprefers(X0,X1))), 174.16/22.47 inference(unused_predicate_definition_removal,[],[f60])). 174.16/22.47 174.16/22.47 fof(f93,plain,( 174.16/22.47 ! [X0,X1] : (forallprefers(X0,X1) | ((~bool(X1) | bool(X0) | ~d(X0) | ~d(X1)) & (false != X0 | true != X1) & (~d(X1) | d(X0))))), 174.16/22.47 inference(ennf_transformation,[],[f78])). 174.16/22.47 174.16/22.47 fof(f155,plain,( 174.16/22.47 ( ! [X0,X1] : (forallprefers(X0,X1) | ~d(X1) | d(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f93])). 174.16/22.47 174.16/22.47 fof(f186,plain,( 174.16/22.47 ( ! [X0] : (bool(X0) | true != X0) )), 174.16/22.47 inference(cnf_transformation,[],[f121])). 174.16/22.47 174.16/22.47 fof(f242,plain,( 174.16/22.47 bool(true)), 174.16/22.47 inference(equality_resolution,[],[f186])). 174.16/22.47 174.16/22.47 fof(f44,axiom,( 174.16/22.47 ! [X6] : (bool(X6) <=> true = prop(X6))), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f75,plain,( 174.16/22.47 ! [X0] : (bool(X0) <=> true = prop(X0))), 174.16/22.47 inference(rectify,[],[f44])). 174.16/22.47 174.16/22.47 fof(f124,plain,( 174.16/22.47 ! [X0] : ((bool(X0) | true != prop(X0)) & (true = prop(X0) | ~bool(X0)))), 174.16/22.47 inference(nnf_transformation,[],[f75])). 174.16/22.47 174.16/22.47 fof(f191,plain,( 174.16/22.47 ( ! [X0] : (true = prop(X0) | ~bool(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f124])). 174.16/22.47 174.16/22.47 fof(f145,plain,( 174.16/22.47 ( ! [X1] : (~forallprefers(f7(X1),f7(sK1))) )), 174.16/22.47 inference(cnf_transformation,[],[f111])). 174.16/22.47 174.16/22.47 fof(f212,plain,( 174.16/22.47 ( ! [X1] : (~forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(sK1),sK1))) )), 174.16/22.47 inference(definition_unfolding,[],[f145,f172,f172])). 174.16/22.47 174.16/22.47 fof(f24,axiom,( 174.16/22.47 d(err) & d(false) & d(true)), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f158,plain,( 174.16/22.47 d(true)), 174.16/22.47 inference(cnf_transformation,[],[f24])). 174.16/22.47 174.16/22.47 fof(f25,axiom,( 174.16/22.47 ! [X6] : ((phi(X6) = X6 & d(X6)) | (~d(X6) & phi(X6) = err))), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f61,plain,( 174.16/22.47 ! [X0] : ((phi(X0) = X0 & d(X0)) | (~d(X0) & phi(X0) = err))), 174.16/22.47 inference(rectify,[],[f25])). 174.16/22.47 174.16/22.47 fof(f164,plain,( 174.16/22.47 ( ! [X0] : (phi(X0) = X0 | ~d(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f61])). 174.16/22.47 174.16/22.47 fof(f218,plain,( 174.16/22.47 ( ! [X0] : (lazy_impl(true,X0) = X0 | ~d(X0)) )), 174.16/22.47 inference(definition_unfolding,[],[f164,f129])). 174.16/22.47 174.16/22.47 fof(f185,plain,( 174.16/22.47 ( ! [X0] : (bool(X0) | false != X0) )), 174.16/22.47 inference(cnf_transformation,[],[f121])). 174.16/22.47 174.16/22.47 fof(f234,plain,( 174.16/22.47 ( ! [X0] : (bool(X0) | false1 != X0) )), 174.16/22.47 inference(definition_unfolding,[],[f185,f128])). 174.16/22.47 174.16/22.47 fof(f243,plain,( 174.16/22.47 bool(false1)), 174.16/22.47 inference(equality_resolution,[],[f234])). 174.16/22.47 174.16/22.47 fof(f39,axiom,( 174.16/22.47 false != err & true != err & true != false), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f181,plain,( 174.16/22.47 true != false), 174.16/22.47 inference(cnf_transformation,[],[f39])). 174.16/22.47 174.16/22.47 fof(f232,plain,( 174.16/22.47 true != false1), 174.16/22.47 inference(definition_unfolding,[],[f181,f128])). 174.16/22.47 174.16/22.47 fof(f159,plain,( 174.16/22.47 d(false)), 174.16/22.47 inference(cnf_transformation,[],[f24])). 174.16/22.47 174.16/22.47 fof(f217,plain,( 174.16/22.47 d(false1)), 174.16/22.47 inference(definition_unfolding,[],[f159,f128])). 174.16/22.47 174.16/22.47 fof(f156,plain,( 174.16/22.47 ( ! [X0,X1] : (forallprefers(X0,X1) | false != X0 | true != X1) )), 174.16/22.47 inference(cnf_transformation,[],[f93])). 174.16/22.47 174.16/22.47 fof(f216,plain,( 174.16/22.47 ( ! [X0,X1] : (forallprefers(X0,X1) | false1 != X0 | true != X1) )), 174.16/22.47 inference(definition_unfolding,[],[f156,f128])). 174.16/22.47 174.16/22.47 fof(f240,plain,( 174.16/22.47 ( ! [X1] : (forallprefers(false1,X1) | true != X1) )), 174.16/22.47 inference(equality_resolution,[],[f216])). 174.16/22.47 174.16/22.47 fof(f241,plain,( 174.16/22.47 forallprefers(false1,true)), 174.16/22.47 inference(equality_resolution,[],[f240])). 174.16/22.47 174.16/22.47 fof(f21,axiom,( 174.16/22.47 false = not1(true)), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f152,plain,( 174.16/22.47 false = not1(true)), 174.16/22.47 inference(cnf_transformation,[],[f21])). 174.16/22.47 174.16/22.47 fof(f215,plain,( 174.16/22.47 false1 = not1(true)), 174.16/22.47 inference(definition_unfolding,[],[f152,f128])). 174.16/22.47 174.16/22.47 fof(f192,plain,( 174.16/22.47 ( ! [X0] : (bool(X0) | true != prop(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f124])). 174.16/22.47 174.16/22.47 fof(f163,plain,( 174.16/22.47 ( ! [X0] : (phi(X0) = X0 | phi(X0) = err) )), 174.16/22.47 inference(cnf_transformation,[],[f61])). 174.16/22.47 174.16/22.47 fof(f219,plain,( 174.16/22.47 ( ! [X0] : (lazy_impl(true,X0) = X0 | lazy_impl(true,X0) = err) )), 174.16/22.47 inference(definition_unfolding,[],[f163,f129,f129])). 174.16/22.47 174.16/22.47 fof(f7,axiom,( 174.16/22.47 ! [X3] : (~bool(X3) => phi(X3) = not1(X3))), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f48,plain,( 174.16/22.47 ! [X0] : (~bool(X0) => phi(X0) = not1(X0))), 174.16/22.47 inference(rectify,[],[f7])). 174.16/22.47 174.16/22.47 fof(f81,plain,( 174.16/22.47 ! [X0] : (phi(X0) = not1(X0) | bool(X0))), 174.16/22.47 inference(ennf_transformation,[],[f48])). 174.16/22.47 174.16/22.47 fof(f133,plain,( 174.16/22.47 ( ! [X0] : (phi(X0) = not1(X0) | bool(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f81])). 174.16/22.47 174.16/22.47 fof(f202,plain,( 174.16/22.47 ( ! [X0] : (lazy_impl(true,X0) = not1(X0) | bool(X0)) )), 174.16/22.47 inference(definition_unfolding,[],[f133,f129])). 174.16/22.47 174.16/22.47 fof(f182,plain,( 174.16/22.47 true != err), 174.16/22.47 inference(cnf_transformation,[],[f39])). 174.16/22.47 174.16/22.47 fof(f183,plain,( 174.16/22.47 false != err), 174.16/22.47 inference(cnf_transformation,[],[f39])). 174.16/22.47 174.16/22.47 fof(f231,plain,( 174.16/22.47 false1 != err), 174.16/22.47 inference(definition_unfolding,[],[f183,f128])). 174.16/22.47 174.16/22.47 fof(f45,conjecture,( 174.16/22.47 ! [X1] : not1(X1) = not2(X1)), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f46,negated_conjecture,( 174.16/22.47 ~! [X1] : not1(X1) = not2(X1)), 174.16/22.47 inference(negated_conjecture,[],[f45])). 174.16/22.47 174.16/22.47 fof(f76,plain,( 174.16/22.47 ~! [X0] : not1(X0) = not2(X0)), 174.16/22.47 inference(rectify,[],[f46])). 174.16/22.47 174.16/22.47 fof(f106,plain,( 174.16/22.47 ? [X0] : not1(X0) != not2(X0)), 174.16/22.47 inference(ennf_transformation,[],[f76])). 174.16/22.47 174.16/22.47 fof(f125,plain,( 174.16/22.47 ? [X0] : not1(X0) != not2(X0) => not1(sK7) != not2(sK7)), 174.16/22.47 introduced(choice_axiom,[])). 174.16/22.47 174.16/22.47 fof(f126,plain,( 174.16/22.47 not1(sK7) != not2(sK7)), 174.16/22.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f106,f125])). 174.16/22.47 174.16/22.47 fof(f193,plain,( 174.16/22.47 not1(sK7) != not2(sK7)), 174.16/22.47 inference(cnf_transformation,[],[f126])). 174.16/22.47 174.16/22.47 fof(f40,axiom,( 174.16/22.47 ! [X1] : impl(X1,false2) = not2(X1)), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f71,plain,( 174.16/22.47 ! [X0] : impl(X0,false2) = not2(X0)), 174.16/22.47 inference(rectify,[],[f40])). 174.16/22.47 174.16/22.47 fof(f184,plain,( 174.16/22.47 ( ! [X0] : (impl(X0,false2) = not2(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f71])). 174.16/22.47 174.16/22.47 fof(f237,plain,( 174.16/22.47 impl(sK7,false2) != not1(sK7)), 174.16/22.47 inference(definition_unfolding,[],[f193,f184])). 174.16/22.47 174.16/22.47 fof(f6,axiom,( 174.16/22.47 ! [X0] : (bool(X0) => impl(true,X0) = X0)), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f80,plain,( 174.16/22.47 ! [X0] : (impl(true,X0) = X0 | ~bool(X0))), 174.16/22.47 inference(ennf_transformation,[],[f6])). 174.16/22.47 174.16/22.47 fof(f132,plain,( 174.16/22.47 ( ! [X0] : (impl(true,X0) = X0 | ~bool(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f80])). 174.16/22.47 174.16/22.47 fof(f14,axiom,( 174.16/22.47 ! [X0] : (bool(X0) => true = impl(false,X0))), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f87,plain,( 174.16/22.47 ! [X0] : (true = impl(false,X0) | ~bool(X0))), 174.16/22.47 inference(ennf_transformation,[],[f14])). 174.16/22.47 174.16/22.47 fof(f142,plain,( 174.16/22.47 ( ! [X0] : (true = impl(false,X0) | ~bool(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f87])). 174.16/22.47 174.16/22.47 fof(f209,plain,( 174.16/22.47 ( ! [X0] : (true = impl(false1,X0) | ~bool(X0)) )), 174.16/22.47 inference(definition_unfolding,[],[f142,f128])). 174.16/22.47 174.16/22.47 fof(f33,axiom,( 174.16/22.47 ! [X3,X0] : (~bool(X3) => phi(X3) = impl(X3,X0))), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f67,plain,( 174.16/22.47 ! [X0,X1] : (~bool(X0) => phi(X0) = impl(X0,X1))), 174.16/22.47 inference(rectify,[],[f33])). 174.16/22.47 174.16/22.47 fof(f99,plain,( 174.16/22.47 ! [X0,X1] : (phi(X0) = impl(X0,X1) | bool(X0))), 174.16/22.47 inference(ennf_transformation,[],[f67])). 174.16/22.47 174.16/22.47 fof(f173,plain,( 174.16/22.47 ( ! [X0,X1] : (phi(X0) = impl(X0,X1) | bool(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f99])). 174.16/22.47 174.16/22.47 fof(f226,plain,( 174.16/22.47 ( ! [X0,X1] : (lazy_impl(true,X0) = impl(X0,X1) | bool(X0)) )), 174.16/22.47 inference(definition_unfolding,[],[f173,f129])). 174.16/22.47 174.16/22.47 fof(f18,axiom,( 174.16/22.47 true = not1(false)), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f147,plain,( 174.16/22.47 true = not1(false)), 174.16/22.47 inference(cnf_transformation,[],[f18])). 174.16/22.47 174.16/22.47 fof(f213,plain,( 174.16/22.47 true = not1(false1)), 174.16/22.47 inference(definition_unfolding,[],[f147,f128])). 174.16/22.47 174.16/22.47 fof(f141,plain,( 174.16/22.47 ( ! [X0] : (~bool(X0) | false != prop(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f109])). 174.16/22.47 174.16/22.47 fof(f207,plain,( 174.16/22.47 ( ! [X0] : (~bool(X0) | false1 != prop(X0)) )), 174.16/22.47 inference(definition_unfolding,[],[f141,f128])). 174.16/22.47 174.16/22.47 fof(f160,plain,( 174.16/22.47 d(err)), 174.16/22.47 inference(cnf_transformation,[],[f24])). 174.16/22.47 174.16/22.47 fof(f161,plain,( 174.16/22.47 ( ! [X0] : (d(X0) | phi(X0) = err) )), 174.16/22.47 inference(cnf_transformation,[],[f61])). 174.16/22.47 174.16/22.47 fof(f220,plain,( 174.16/22.47 ( ! [X0] : (d(X0) | lazy_impl(true,X0) = err) )), 174.16/22.47 inference(definition_unfolding,[],[f161,f129])). 174.16/22.47 174.16/22.47 fof(f9,axiom,( 174.16/22.47 ! [X3,X0] : (~bool(X3) => phi(X3) = lazy_impl(X3,X0))), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f50,plain,( 174.16/22.47 ! [X0,X1] : (~bool(X0) => phi(X0) = lazy_impl(X0,X1))), 174.16/22.47 inference(rectify,[],[f9])). 174.16/22.47 174.16/22.47 fof(f83,plain,( 174.16/22.47 ! [X0,X1] : (phi(X0) = lazy_impl(X0,X1) | bool(X0))), 174.16/22.47 inference(ennf_transformation,[],[f50])). 174.16/22.47 174.16/22.47 fof(f136,plain,( 174.16/22.47 ( ! [X0,X1] : (phi(X0) = lazy_impl(X0,X1) | bool(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f83])). 174.16/22.47 174.16/22.47 fof(f204,plain,( 174.16/22.47 ( ! [X0,X1] : (lazy_impl(true,X0) = lazy_impl(X0,X1) | bool(X0)) )), 174.16/22.47 inference(definition_unfolding,[],[f136,f129])). 174.16/22.47 174.16/22.47 fof(f29,axiom,( 174.16/22.47 ! [X0] : (bool(X0) => and1(true,X0) = X0)), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f96,plain,( 174.16/22.47 ! [X0] : (and1(true,X0) = X0 | ~bool(X0))), 174.16/22.47 inference(ennf_transformation,[],[f29])). 174.16/22.47 174.16/22.47 fof(f168,plain,( 174.16/22.47 ( ! [X0] : (and1(true,X0) = X0 | ~bool(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f96])). 174.16/22.47 174.16/22.47 fof(f27,axiom,( 174.16/22.47 ! [X3,X0] : (~bool(X3) => phi(X3) = and1(X3,X0))), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f62,plain,( 174.16/22.47 ! [X0,X1] : (~bool(X0) => phi(X0) = and1(X0,X1))), 174.16/22.47 inference(rectify,[],[f27])). 174.16/22.47 174.16/22.47 fof(f94,plain,( 174.16/22.47 ! [X0,X1] : (phi(X0) = and1(X0,X1) | bool(X0))), 174.16/22.47 inference(ennf_transformation,[],[f62])). 174.16/22.47 174.16/22.47 fof(f166,plain,( 174.16/22.47 ( ! [X0,X1] : (phi(X0) = and1(X0,X1) | bool(X0)) )), 174.16/22.47 inference(cnf_transformation,[],[f94])). 174.16/22.47 174.16/22.47 fof(f222,plain,( 174.16/22.47 ( ! [X0,X1] : (lazy_impl(true,X0) = and1(X0,X1) | bool(X0)) )), 174.16/22.47 inference(definition_unfolding,[],[f166,f129])). 174.16/22.47 174.16/22.47 fof(f12,axiom,( 174.16/22.47 ! [X3,X0] : ((bool(X3) & ~bool(X0)) => or1(X3,X0) = phi(X0))), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f52,plain,( 174.16/22.47 ! [X0,X1] : ((bool(X0) & ~bool(X1)) => or1(X0,X1) = phi(X1))), 174.16/22.47 inference(rectify,[],[f12])). 174.16/22.47 174.16/22.47 fof(f85,plain,( 174.16/22.47 ! [X0,X1] : (or1(X0,X1) = phi(X1) | (~bool(X0) | bool(X1)))), 174.16/22.47 inference(ennf_transformation,[],[f52])). 174.16/22.47 174.16/22.47 fof(f86,plain,( 174.16/22.47 ! [X0,X1] : (or1(X0,X1) = phi(X1) | ~bool(X0) | bool(X1))), 174.16/22.47 inference(flattening,[],[f85])). 174.16/22.47 174.16/22.47 fof(f139,plain,( 174.16/22.47 ( ! [X0,X1] : (or1(X0,X1) = phi(X1) | ~bool(X0) | bool(X1)) )), 174.16/22.47 inference(cnf_transformation,[],[f86])). 174.16/22.47 174.16/22.47 fof(f206,plain,( 174.16/22.47 ( ! [X0,X1] : (or1(X0,X1) = lazy_impl(true,X1) | ~bool(X0) | bool(X1)) )), 174.16/22.47 inference(definition_unfolding,[],[f139,f129])). 174.16/22.47 174.16/22.47 fof(f16,axiom,( 174.16/22.47 ! [X3,X0] : ((bool(X3) & ~bool(X0)) => phi(X0) = impl(X3,X0))), 174.16/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 174.16/22.47 174.16/22.47 fof(f55,plain,( 174.16/22.47 ! [X0,X1] : ((bool(X0) & ~bool(X1)) => phi(X1) = impl(X0,X1))), 174.16/22.47 inference(rectify,[],[f16])). 174.16/22.47 174.16/22.47 fof(f88,plain,( 174.16/22.47 ! [X0,X1] : (phi(X1) = impl(X0,X1) | (~bool(X0) | bool(X1)))), 174.16/22.47 inference(ennf_transformation,[],[f55])). 174.16/22.47 174.16/22.47 fof(f89,plain,( 174.16/22.47 ! [X0,X1] : (phi(X1) = impl(X0,X1) | ~bool(X0) | bool(X1))), 174.16/22.47 inference(flattening,[],[f88])). 174.16/22.47 174.16/22.47 fof(f144,plain,( 174.16/22.47 ( ! [X0,X1] : (phi(X1) = impl(X0,X1) | ~bool(X0) | bool(X1)) )), 174.16/22.47 inference(cnf_transformation,[],[f89])). 174.16/22.47 174.16/22.47 fof(f210,plain,( 174.16/22.47 ( ! [X0,X1] : (lazy_impl(true,X1) = impl(X0,X1) | ~bool(X0) | bool(X1)) )), 174.16/22.47 inference(definition_unfolding,[],[f144,f129])). 174.16/22.47 174.16/22.47 cnf(c_30,plain, 174.16/22.47 ( lazy_impl(false1,X0) = true ), 174.16/22.47 inference(cnf_transformation,[],[f221]) ). 174.16/22.47 174.16/22.47 cnf(c_9,plain, 174.16/22.47 ( bool(X0) | prop(X0) = false1 ), 174.16/22.47 inference(cnf_transformation,[],[f208]) ). 174.16/22.47 174.16/22.47 cnf(c_2357,plain, 174.16/22.47 ( prop(X0) = false1 | bool(X0) = iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_9]) ). 174.16/22.47 174.16/22.47 cnf(c_44,plain, 174.16/22.47 ( ~ bool(X0) | false1 = X0 | true = X0 ), 174.16/22.47 inference(cnf_transformation,[],[f233]) ). 174.16/22.47 174.16/22.47 cnf(c_2334,plain, 174.16/22.47 ( false1 = X0 | true = X0 | bool(X0) != iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_44]) ). 174.16/22.47 174.16/22.47 cnf(c_5361,plain, 174.16/22.47 ( prop(X0) = false1 | false1 = X0 | true = X0 ), 174.16/22.47 inference(superposition,[status(thm)],[c_2357,c_2334]) ). 174.16/22.47 174.16/22.47 cnf(c_12,plain, 174.16/22.47 ( lazy_impl(true,lazy_impl(prop(sK1),sK1)) = false2 ), 174.16/22.47 inference(cnf_transformation,[],[f211]) ). 174.16/22.47 174.16/22.47 cnf(c_29601,plain, 174.16/22.47 ( lazy_impl(true,lazy_impl(false1,sK1)) = false2 174.16/22.47 | sK1 = false1 174.16/22.47 | sK1 = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_5361,c_12]) ). 174.16/22.47 174.16/22.47 cnf(c_29764,plain, 174.16/22.47 ( lazy_impl(true,true) = false2 | sK1 = false1 | sK1 = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_30,c_29601]) ). 174.16/22.47 174.16/22.47 cnf(c_22,plain, 174.16/22.47 ( forallprefers(X0,X1) | ~ d(X1) | d(X0) ), 174.16/22.47 inference(cnf_transformation,[],[f155]) ). 174.16/22.47 174.16/22.47 cnf(c_2349,plain, 174.16/22.47 ( forallprefers(X0,X1) = iProver_top 174.16/22.47 | d(X1) != iProver_top 174.16/22.47 | d(X0) = iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_22]) ). 174.16/22.47 174.16/22.47 cnf(c_45,plain, 174.16/22.47 ( bool(true) ), 174.16/22.47 inference(cnf_transformation,[],[f242]) ). 174.16/22.47 174.16/22.47 cnf(c_2333,plain, 174.16/22.47 ( bool(true) = iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_45]) ). 174.16/22.47 174.16/22.47 cnf(c_50,plain, 174.16/22.47 ( ~ bool(X0) | prop(X0) = true ), 174.16/22.47 inference(cnf_transformation,[],[f191]) ). 174.16/22.47 174.16/22.47 cnf(c_2328,plain, 174.16/22.47 ( prop(X0) = true | bool(X0) != iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_50]) ). 174.16/22.47 174.16/22.47 cnf(c_3244,plain, 174.16/22.47 ( prop(true) = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_2333,c_2328]) ). 174.16/22.47 174.16/22.47 cnf(c_13,plain, 174.16/22.47 ( ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(prop(sK1),sK1)) ), 174.16/22.47 inference(cnf_transformation,[],[f212]) ). 174.16/22.47 174.16/22.47 cnf(c_2354,plain, 174.16/22.47 ( forallprefers(lazy_impl(prop(X0),X0),lazy_impl(prop(sK1),sK1)) != iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_13]) ). 174.16/22.47 174.16/22.47 cnf(c_7970,plain, 174.16/22.47 ( forallprefers(lazy_impl(true,true),lazy_impl(prop(sK1),sK1)) != iProver_top ), 174.16/22.47 inference(superposition,[status(thm)],[c_3244,c_2354]) ). 174.16/22.47 174.16/22.47 cnf(c_17205,plain, 174.16/22.47 ( d(lazy_impl(prop(sK1),sK1)) != iProver_top 174.16/22.47 | d(lazy_impl(true,true)) = iProver_top ), 174.16/22.47 inference(superposition,[status(thm)],[c_2349,c_7970]) ). 174.16/22.47 174.16/22.47 cnf(c_25,plain,( d(true) ),inference(cnf_transformation,[],[f158]) ). 174.16/22.47 174.16/22.47 cnf(c_96,plain, 174.16/22.47 ( d(true) = iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_25]) ). 174.16/22.47 174.16/22.47 cnf(c_1437,plain,( ~ d(X0) | d(X1) | X1 != X0 ),theory(equality) ). 174.16/22.47 174.16/22.47 cnf(c_26,plain, 174.16/22.47 ( ~ d(X0) | lazy_impl(true,X0) = X0 ), 174.16/22.47 inference(cnf_transformation,[],[f218]) ). 174.16/22.47 174.16/22.47 cnf(c_4024,plain, 174.16/22.47 ( ~ d(X0) | d(lazy_impl(true,X0)) ), 174.16/22.47 inference(resolution,[status(thm)],[c_1437,c_26]) ). 174.16/22.47 174.16/22.47 cnf(c_4025,plain, 174.16/22.47 ( d(X0) != iProver_top | d(lazy_impl(true,X0)) = iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_4024]) ). 174.16/22.47 174.16/22.47 cnf(c_4027,plain, 174.16/22.47 ( d(lazy_impl(true,true)) = iProver_top | d(true) != iProver_top ), 174.16/22.47 inference(instantiation,[status(thm)],[c_4025]) ). 174.16/22.47 174.16/22.47 cnf(c_438289,plain, 174.16/22.47 ( d(lazy_impl(true,true)) = iProver_top ), 174.16/22.47 inference(global_propositional_subsumption, 174.16/22.47 [status(thm)], 174.16/22.47 [c_17205,c_96,c_4027]) ). 174.16/22.47 174.16/22.47 cnf(c_2345,plain, 174.16/22.47 ( lazy_impl(true,X0) = X0 | d(X0) != iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_26]) ). 174.16/22.47 174.16/22.47 cnf(c_438356,plain, 174.16/22.47 ( lazy_impl(true,lazy_impl(true,true)) = lazy_impl(true,true) ), 174.16/22.47 inference(superposition,[status(thm)],[c_438289,c_2345]) ). 174.16/22.47 174.16/22.47 cnf(c_439514,plain, 174.16/22.47 ( lazy_impl(true,false2) = lazy_impl(true,true) 174.16/22.47 | sK1 = false1 174.16/22.47 | sK1 = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_29764,c_438356]) ). 174.16/22.47 174.16/22.47 cnf(c_46,plain, 174.16/22.47 ( bool(false1) ), 174.16/22.47 inference(cnf_transformation,[],[f243]) ). 174.16/22.47 174.16/22.47 cnf(c_65,plain, 174.16/22.47 ( ~ bool(true) | false1 = true | true = true ), 174.16/22.47 inference(instantiation,[status(thm)],[c_44]) ). 174.16/22.47 174.16/22.47 cnf(c_43,plain, 174.16/22.47 ( false1 != true ), 174.16/22.47 inference(cnf_transformation,[],[f232]) ). 174.16/22.47 174.16/22.47 cnf(c_24,plain,( d(false1) ),inference(cnf_transformation,[],[f217]) ). 174.16/22.47 174.16/22.47 cnf(c_21,plain, 174.16/22.47 ( forallprefers(false1,true) ), 174.16/22.47 inference(cnf_transformation,[],[f241]) ). 174.16/22.47 174.16/22.47 cnf(c_100,plain, 174.16/22.47 ( forallprefers(false1,true) = iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_21]) ). 174.16/22.47 174.16/22.47 cnf(c_2629,plain, 174.16/22.47 ( ~ d(false1) | lazy_impl(true,false1) = false1 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_26]) ). 174.16/22.47 174.16/22.47 cnf(c_1434,plain, 174.16/22.47 ( ~ forallprefers(X0,X1) 174.16/22.47 | forallprefers(X2,X3) 174.16/22.47 | X2 != X0 174.16/22.47 | X3 != X1 ), 174.16/22.47 theory(equality) ). 174.16/22.47 174.16/22.47 cnf(c_2521,plain, 174.16/22.47 ( forallprefers(X0,X1) 174.16/22.47 | ~ forallprefers(false1,true) 174.16/22.47 | X0 != false1 174.16/22.47 | X1 != true ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1434]) ). 174.16/22.47 174.16/22.47 cnf(c_2746,plain, 174.16/22.47 ( forallprefers(lazy_impl(true,false1),X0) 174.16/22.47 | ~ forallprefers(false1,true) 174.16/22.47 | X0 != true 174.16/22.47 | lazy_impl(true,false1) != false1 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2521]) ). 174.16/22.47 174.16/22.47 cnf(c_2747,plain, 174.16/22.47 ( X0 != true 174.16/22.47 | lazy_impl(true,false1) != false1 174.16/22.47 | forallprefers(lazy_impl(true,false1),X0) = iProver_top 174.16/22.47 | forallprefers(false1,true) != iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_2746]) ). 174.16/22.47 174.16/22.47 cnf(c_2749,plain, 174.16/22.47 ( lazy_impl(true,false1) != false1 174.16/22.47 | true != true 174.16/22.47 | forallprefers(lazy_impl(true,false1),true) = iProver_top 174.16/22.47 | forallprefers(false1,true) != iProver_top ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2747]) ). 174.16/22.47 174.16/22.47 cnf(c_1426,plain, 174.16/22.47 ( ~ bool(X0) | bool(X1) | X1 != X0 ), 174.16/22.47 theory(equality) ). 174.16/22.47 174.16/22.47 cnf(c_18,plain, 174.16/22.47 ( not1(true) = false1 ), 174.16/22.47 inference(cnf_transformation,[],[f215]) ). 174.16/22.47 174.16/22.47 cnf(c_3307,plain, 174.16/22.47 ( bool(not1(true)) | ~ bool(false1) ), 174.16/22.47 inference(resolution,[status(thm)],[c_1426,c_18]) ). 174.16/22.47 174.16/22.47 cnf(c_3242,plain, 174.16/22.47 ( prop(X0) = false1 | prop(X0) = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_2357,c_2328]) ). 174.16/22.47 174.16/22.47 cnf(c_10399,plain, 174.16/22.47 ( lazy_impl(true,lazy_impl(false1,sK1)) = false2 174.16/22.47 | prop(sK1) = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_3242,c_12]) ). 174.16/22.47 174.16/22.47 cnf(c_10514,plain, 174.16/22.47 ( lazy_impl(true,true) = false2 | prop(sK1) = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_30,c_10399]) ). 174.16/22.47 174.16/22.47 cnf(c_2346,plain, 174.16/22.47 ( d(true) = iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_25]) ). 174.16/22.47 174.16/22.47 cnf(c_4315,plain, 174.16/22.47 ( lazy_impl(true,true) = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_2346,c_2345]) ). 174.16/22.47 174.16/22.47 cnf(c_10984,plain, 174.16/22.47 ( prop(sK1) = true | false2 = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_10514,c_4315]) ). 174.16/22.47 174.16/22.47 cnf(c_49,plain, 174.16/22.47 ( bool(X0) | prop(X0) != true ), 174.16/22.47 inference(cnf_transformation,[],[f192]) ). 174.16/22.47 174.16/22.47 cnf(c_2329,plain, 174.16/22.47 ( prop(X0) != true | bool(X0) = iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_49]) ). 174.16/22.47 174.16/22.47 cnf(c_11605,plain, 174.16/22.47 ( false2 = true | bool(sK1) = iProver_top ), 174.16/22.47 inference(superposition,[status(thm)],[c_10984,c_2329]) ). 174.16/22.47 174.16/22.47 cnf(c_13473,plain, 174.16/22.47 ( false2 = true | sK1 = false1 | sK1 = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_11605,c_2334]) ). 174.16/22.47 174.16/22.47 cnf(c_1424,plain,( X0 != X1 | X2 != X1 | X2 = X0 ),theory(equality) ). 174.16/22.47 174.16/22.47 cnf(c_17324,plain, 174.16/22.47 ( X0 != X1 | X0 = false2 | false2 != X1 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1424]) ). 174.16/22.47 174.16/22.47 cnf(c_17325,plain, 174.16/22.47 ( false2 != true | true = false2 | true != true ), 174.16/22.47 inference(instantiation,[status(thm)],[c_17324]) ). 174.16/22.47 174.16/22.47 cnf(c_27,plain, 174.16/22.47 ( lazy_impl(true,X0) = X0 | lazy_impl(true,X0) = err ), 174.16/22.47 inference(cnf_transformation,[],[f219]) ). 174.16/22.47 174.16/22.47 cnf(c_2565,plain, 174.16/22.47 ( lazy_impl(true,lazy_impl(prop(sK1),sK1)) = lazy_impl(prop(sK1),sK1) 174.16/22.47 | err = false2 ), 174.16/22.47 inference(superposition,[status(thm)],[c_27,c_12]) ). 174.16/22.47 174.16/22.47 cnf(c_5368,plain, 174.16/22.47 ( lazy_impl(prop(sK1),sK1) = false2 | err = false2 ), 174.16/22.47 inference(superposition,[status(thm)],[c_2565,c_12]) ). 174.16/22.47 174.16/22.47 cnf(c_2332,plain, 174.16/22.47 ( bool(false1) = iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_46]) ). 174.16/22.47 174.16/22.47 cnf(c_3245,plain, 174.16/22.47 ( prop(false1) = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_2332,c_2328]) ). 174.16/22.47 174.16/22.47 cnf(c_8136,plain, 174.16/22.47 ( forallprefers(lazy_impl(true,false1),lazy_impl(prop(sK1),sK1)) != iProver_top ), 174.16/22.47 inference(superposition,[status(thm)],[c_3245,c_2354]) ). 174.16/22.47 174.16/22.47 cnf(c_17240,plain, 174.16/22.47 ( err = false2 174.16/22.47 | forallprefers(lazy_impl(true,false1),false2) != iProver_top ), 174.16/22.47 inference(superposition,[status(thm)],[c_5368,c_8136]) ). 174.16/22.47 174.16/22.47 cnf(c_32656,plain, 174.16/22.47 ( err = false2 174.16/22.47 | sK1 = false1 174.16/22.47 | sK1 = true 174.16/22.47 | forallprefers(lazy_impl(true,false1),true) != iProver_top ), 174.16/22.47 inference(superposition,[status(thm)],[c_13473,c_17240]) ). 174.16/22.47 174.16/22.47 cnf(c_6456,plain, 174.16/22.47 ( X0 != false2 | lazy_impl(true,lazy_impl(prop(sK1),sK1)) = X0 ), 174.16/22.47 inference(resolution,[status(thm)],[c_1424,c_12]) ). 174.16/22.47 174.16/22.47 cnf(c_1430,plain,( X0 != X1 | not1(X0) = not1(X1) ),theory(equality) ). 174.16/22.47 174.16/22.47 cnf(c_4485,plain, 174.16/22.47 ( ~ bool(not1(X0)) | bool(not1(X1)) | X1 != X0 ), 174.16/22.47 inference(resolution,[status(thm)],[c_1430,c_1426]) ). 174.16/22.47 174.16/22.47 cnf(c_35471,plain, 174.16/22.47 ( ~ bool(not1(X0)) 174.16/22.47 | bool(not1(lazy_impl(true,lazy_impl(prop(sK1),sK1)))) 174.16/22.47 | X0 != false2 ), 174.16/22.47 inference(resolution,[status(thm)],[c_6456,c_4485]) ). 174.16/22.47 174.16/22.47 cnf(c_35477,plain, 174.16/22.47 ( bool(not1(lazy_impl(true,lazy_impl(prop(sK1),sK1)))) 174.16/22.47 | ~ bool(not1(true)) 174.16/22.47 | true != false2 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_35471]) ). 174.16/22.47 174.16/22.47 cnf(c_1423,plain,( X0 = X0 ),theory(equality) ). 174.16/22.47 174.16/22.47 cnf(c_6488,plain, 174.16/22.47 ( X0 != X1 | X1 = X0 ), 174.16/22.47 inference(resolution,[status(thm)],[c_1424,c_1423]) ). 174.16/22.47 174.16/22.47 cnf(c_4510,plain, 174.16/22.47 ( lazy_impl(true,err) = err ), 174.16/22.47 inference(factoring,[status(thm)],[c_27]) ). 174.16/22.47 174.16/22.47 cnf(c_6941,plain, 174.16/22.47 ( err = lazy_impl(true,err) ), 174.16/22.47 inference(resolution,[status(thm)],[c_6488,c_4510]) ). 174.16/22.47 174.16/22.47 cnf(c_6945,plain, 174.16/22.47 ( X0 != lazy_impl(true,err) | err = X0 ), 174.16/22.47 inference(resolution,[status(thm)],[c_6941,c_1424]) ). 174.16/22.47 174.16/22.47 cnf(c_3,plain, 174.16/22.47 ( bool(X0) | lazy_impl(true,X0) = not1(X0) ), 174.16/22.47 inference(cnf_transformation,[],[f202]) ). 174.16/22.47 174.16/22.47 cnf(c_6875,plain, 174.16/22.47 ( bool(X0) | not1(X0) = lazy_impl(true,X0) ), 174.16/22.47 inference(resolution,[status(thm)],[c_6488,c_3]) ). 174.16/22.47 174.16/22.47 cnf(c_11064,plain, 174.16/22.47 ( bool(err) | err = not1(err) ), 174.16/22.47 inference(resolution,[status(thm)],[c_6945,c_6875]) ). 174.16/22.47 174.16/22.47 cnf(c_42,plain, 174.16/22.47 ( err != true ), 174.16/22.47 inference(cnf_transformation,[],[f182]) ). 174.16/22.47 174.16/22.47 cnf(c_41,plain, 174.16/22.47 ( err != false1 ), 174.16/22.47 inference(cnf_transformation,[],[f231]) ). 174.16/22.47 174.16/22.47 cnf(c_2500,plain, 174.16/22.47 ( err != X0 | err = true | true != X0 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1424]) ). 174.16/22.47 174.16/22.47 cnf(c_2557,plain, 174.16/22.47 ( err != err | err = true | true != err ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2500]) ). 174.16/22.47 174.16/22.47 cnf(c_2558,plain, 174.16/22.47 ( err = err ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1423]) ). 174.16/22.47 174.16/22.47 cnf(c_2702,plain, 174.16/22.47 ( ~ bool(err) | false1 = err | true = err ), 174.16/22.47 inference(instantiation,[status(thm)],[c_44]) ). 174.16/22.47 174.16/22.47 cnf(c_2499,plain, 174.16/22.47 ( err != X0 | err = false1 | false1 != X0 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1424]) ). 174.16/22.47 174.16/22.47 cnf(c_6975,plain, 174.16/22.47 ( err != err | err = false1 | false1 != err ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2499]) ). 174.16/22.47 174.16/22.47 cnf(c_11301,plain, 174.16/22.47 ( err = not1(err) ), 174.16/22.47 inference(global_propositional_subsumption, 174.16/22.47 [status(thm)], 174.16/22.47 [c_11064,c_42,c_41,c_2557,c_2558,c_2702,c_6975]) ). 174.16/22.47 174.16/22.47 cnf(c_11310,plain, 174.16/22.47 ( ~ bool(not1(err)) | bool(err) ), 174.16/22.47 inference(resolution,[status(thm)],[c_11301,c_1426]) ). 174.16/22.47 174.16/22.47 cnf(c_11430,plain, 174.16/22.47 ( ~ bool(not1(err)) ), 174.16/22.47 inference(global_propositional_subsumption, 174.16/22.47 [status(thm)], 174.16/22.47 [c_11310,c_42,c_41,c_2557,c_2558,c_2702,c_6975]) ). 174.16/22.47 174.16/22.47 cnf(c_6949,plain, 174.16/22.47 ( ~ bool(not1(lazy_impl(true,err))) | bool(not1(err)) ), 174.16/22.47 inference(resolution,[status(thm)],[c_6941,c_4485]) ). 174.16/22.47 174.16/22.47 cnf(c_11443,plain, 174.16/22.47 ( ~ bool(not1(lazy_impl(true,err))) ), 174.16/22.47 inference(backward_subsumption_resolution, 174.16/22.47 [status(thm)], 174.16/22.47 [c_11430,c_6949]) ). 174.16/22.47 174.16/22.47 cnf(c_6500,plain, 174.16/22.47 ( X0 != err | lazy_impl(true,err) = X0 ), 174.16/22.47 inference(resolution,[status(thm)],[c_1424,c_4510]) ). 174.16/22.47 174.16/22.47 cnf(c_10527,plain, 174.16/22.47 ( ~ bool(not1(X0)) | bool(not1(lazy_impl(true,err))) | X0 != err ), 174.16/22.47 inference(resolution,[status(thm)],[c_6500,c_4485]) ). 174.16/22.47 174.16/22.47 cnf(c_11699,plain, 174.16/22.47 ( ~ bool(not1(X0)) | X0 != err ), 174.16/22.47 inference(backward_subsumption_resolution, 174.16/22.47 [status(thm)], 174.16/22.47 [c_11443,c_10527]) ). 174.16/22.47 174.16/22.47 cnf(c_35513,plain, 174.16/22.47 ( ~ bool(not1(lazy_impl(true,lazy_impl(prop(sK1),sK1)))) 174.16/22.47 | err != false2 ), 174.16/22.47 inference(resolution,[status(thm)],[c_6456,c_11699]) ). 174.16/22.47 174.16/22.47 cnf(c_507670,plain, 174.16/22.47 ( sK1 = false1 | sK1 = true ), 174.16/22.47 inference(global_propositional_subsumption, 174.16/22.47 [status(thm)], 174.16/22.47 [c_439514,c_46,c_45,c_65,c_43,c_24,c_100,c_2629,c_2749, 174.16/22.47 c_3307,c_13473,c_17325,c_32656,c_35477,c_35513]) ). 174.16/22.47 174.16/22.47 cnf(c_508039,plain, 174.16/22.47 ( lazy_impl(prop(false1),false1) = false2 174.16/22.47 | err = false2 174.16/22.47 | sK1 = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_507670,c_5368]) ). 174.16/22.47 174.16/22.47 cnf(c_51,negated_conjecture, 174.16/22.47 ( impl(sK7,false2) != not1(sK7) ), 174.16/22.47 inference(cnf_transformation,[],[f237]) ). 174.16/22.47 174.16/22.47 cnf(c_2552,plain, 174.16/22.47 ( not1(sK7) = not1(X0) | sK7 != X0 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1430]) ). 174.16/22.47 174.16/22.47 cnf(c_2554,plain, 174.16/22.47 ( not1(sK7) = not1(true) | sK7 != true ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2552]) ). 174.16/22.47 174.16/22.47 cnf(c_2605,plain, 174.16/22.47 ( false1 = false1 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1423]) ). 174.16/22.47 174.16/22.47 cnf(c_2,plain, 174.16/22.47 ( ~ bool(X0) | impl(true,X0) = X0 ), 174.16/22.47 inference(cnf_transformation,[],[f132]) ). 174.16/22.47 174.16/22.47 cnf(c_2610,plain, 174.16/22.47 ( ~ bool(false1) | impl(true,false1) = false1 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2]) ). 174.16/22.47 174.16/22.47 cnf(c_2556,plain, 174.16/22.47 ( X0 != X1 | false1 != X1 | false1 = X0 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1424]) ). 174.16/22.47 174.16/22.47 cnf(c_2814,plain, 174.16/22.47 ( X0 != false1 | false1 = X0 | false1 != false1 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2556]) ). 174.16/22.47 174.16/22.47 cnf(c_3217,plain, 174.16/22.47 ( lazy_impl(true,false1) != false1 174.16/22.47 | false1 = lazy_impl(true,false1) 174.16/22.47 | false1 != false1 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2814]) ). 174.16/22.47 174.16/22.47 cnf(c_3869,plain, 174.16/22.47 ( false2 = false2 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1423]) ). 174.16/22.47 174.16/22.47 cnf(c_6893,plain, 174.16/22.47 ( false2 = lazy_impl(true,lazy_impl(prop(sK1),sK1)) ), 174.16/22.47 inference(resolution,[status(thm)],[c_6488,c_12]) ). 174.16/22.47 174.16/22.47 cnf(c_7111,plain, 174.16/22.47 ( ~ bool(lazy_impl(true,lazy_impl(prop(sK1),sK1))) | bool(false2) ), 174.16/22.47 inference(resolution,[status(thm)],[c_6893,c_1426]) ). 174.16/22.47 174.16/22.47 cnf(c_3439,plain, 174.16/22.47 ( X0 != X1 | X0 = not1(true) | not1(true) != X1 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1424]) ). 174.16/22.47 174.16/22.47 cnf(c_5591,plain, 174.16/22.47 ( X0 = not1(true) | X0 != false1 | not1(true) != false1 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_3439]) ). 174.16/22.47 174.16/22.47 cnf(c_10634,plain, 174.16/22.47 ( impl(true,false1) = not1(true) 174.16/22.47 | impl(true,false1) != false1 174.16/22.47 | not1(true) != false1 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_5591]) ). 174.16/22.47 174.16/22.47 cnf(c_1429,plain, 174.16/22.47 ( X0 != X1 | X2 != X3 | impl(X0,X2) = impl(X1,X3) ), 174.16/22.47 theory(equality) ). 174.16/22.47 174.16/22.47 cnf(c_2904,plain, 174.16/22.47 ( impl(sK7,false2) = impl(X0,X1) | sK7 != X0 | false2 != X1 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1429]) ). 174.16/22.47 174.16/22.47 cnf(c_15338,plain, 174.16/22.47 ( impl(sK7,false2) = impl(true,false1) 174.16/22.47 | sK7 != true 174.16/22.47 | false2 != false1 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2904]) ). 174.16/22.47 174.16/22.47 cnf(c_2691,plain, 174.16/22.47 ( impl(sK7,false2) != X0 174.16/22.47 | impl(sK7,false2) = not1(X1) 174.16/22.47 | not1(X1) != X0 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1424]) ). 174.16/22.47 174.16/22.47 cnf(c_2903,plain, 174.16/22.47 ( impl(sK7,false2) != impl(X0,X1) 174.16/22.47 | impl(sK7,false2) = not1(X2) 174.16/22.47 | not1(X2) != impl(X0,X1) ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2691]) ). 174.16/22.47 174.16/22.47 cnf(c_3922,plain, 174.16/22.47 ( impl(sK7,false2) != impl(X0,X1) 174.16/22.47 | impl(sK7,false2) = not1(sK7) 174.16/22.47 | not1(sK7) != impl(X0,X1) ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2903]) ). 174.16/22.47 174.16/22.47 cnf(c_16309,plain, 174.16/22.47 ( impl(sK7,false2) != impl(true,false1) 174.16/22.47 | impl(sK7,false2) = not1(sK7) 174.16/22.47 | not1(sK7) != impl(true,false1) ), 174.16/22.47 inference(instantiation,[status(thm)],[c_3922]) ). 174.16/22.47 174.16/22.47 cnf(c_2550,plain, 174.16/22.47 ( X0 != X1 | not1(sK7) != X1 | not1(sK7) = X0 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1424]) ). 174.16/22.47 174.16/22.47 cnf(c_5953,plain, 174.16/22.47 ( X0 != not1(true) | not1(sK7) = X0 | not1(sK7) != not1(true) ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2550]) ). 174.16/22.47 174.16/22.47 cnf(c_23441,plain, 174.16/22.47 ( impl(true,false1) != not1(true) 174.16/22.47 | not1(sK7) = impl(true,false1) 174.16/22.47 | not1(sK7) != not1(true) ), 174.16/22.47 inference(instantiation,[status(thm)],[c_5953]) ). 174.16/22.47 174.16/22.47 cnf(c_3871,plain, 174.16/22.47 ( X0 != X1 | false2 != X1 | false2 = X0 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1424]) ). 174.16/22.47 174.16/22.47 cnf(c_15440,plain, 174.16/22.47 ( false2 != X0 | false2 = false1 | false1 != X0 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_3871]) ). 174.16/22.47 174.16/22.47 cnf(c_45011,plain, 174.16/22.47 ( false2 != false2 | false2 = false1 | false1 != false2 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_15440]) ). 174.16/22.47 174.16/22.47 cnf(c_15465,plain, 174.16/22.47 ( lazy_impl(true,false1) != X0 174.16/22.47 | false2 != X0 174.16/22.47 | false2 = lazy_impl(true,false1) ), 174.16/22.47 inference(instantiation,[status(thm)],[c_3871]) ). 174.16/22.47 174.16/22.47 cnf(c_45025,plain, 174.16/22.47 ( lazy_impl(true,false1) != false2 174.16/22.47 | false2 = lazy_impl(true,false1) 174.16/22.47 | false2 != false2 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_15465]) ). 174.16/22.47 174.16/22.47 cnf(c_10,plain, 174.16/22.47 ( ~ bool(X0) | impl(false1,X0) = true ), 174.16/22.47 inference(cnf_transformation,[],[f209]) ). 174.16/22.47 174.16/22.47 cnf(c_2356,plain, 174.16/22.47 ( impl(false1,X0) = true | bool(X0) != iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_10]) ). 174.16/22.47 174.16/22.47 cnf(c_4083,plain, 174.16/22.47 ( impl(false1,X0) = true | prop(X0) = false1 ), 174.16/22.47 inference(superposition,[status(thm)],[c_2357,c_2356]) ). 174.16/22.47 174.16/22.47 cnf(c_2363,plain, 174.16/22.47 ( lazy_impl(true,X0) = not1(X0) | bool(X0) = iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_3]) ). 174.16/22.47 174.16/22.47 cnf(c_4591,plain, 174.16/22.47 ( lazy_impl(true,X0) = not1(X0) | prop(X0) = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_2363,c_2328]) ). 174.16/22.47 174.16/22.47 cnf(c_36,plain, 174.16/22.47 ( bool(X0) | impl(X0,X1) = lazy_impl(true,X0) ), 174.16/22.47 inference(cnf_transformation,[],[f226]) ). 174.16/22.47 174.16/22.47 cnf(c_2338,plain, 174.16/22.47 ( impl(X0,X1) = lazy_impl(true,X0) | bool(X0) = iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_36]) ). 174.16/22.47 174.16/22.47 cnf(c_3243,plain, 174.16/22.47 ( impl(X0,X1) = lazy_impl(true,X0) | prop(X0) = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_2338,c_2328]) ). 174.16/22.47 174.16/22.47 cnf(c_6600,plain, 174.16/22.47 ( lazy_impl(true,sK7) != not1(sK7) | prop(sK7) = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_3243,c_51]) ). 174.16/22.47 174.16/22.47 cnf(c_14123,plain, 174.16/22.47 ( prop(sK7) = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_4591,c_6600]) ). 174.16/22.47 174.16/22.47 cnf(c_14730,plain, 174.16/22.47 ( bool(sK7) = iProver_top ), 174.16/22.47 inference(superposition,[status(thm)],[c_14123,c_2329]) ). 174.16/22.47 174.16/22.47 cnf(c_14808,plain, 174.16/22.47 ( sK7 = false1 | sK7 = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_14730,c_2334]) ). 174.16/22.47 174.16/22.47 cnf(c_15401,plain, 174.16/22.47 ( impl(false1,false2) != not1(sK7) | sK7 = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_14808,c_51]) ). 174.16/22.47 174.16/22.47 cnf(c_15615,plain, 174.16/22.47 ( prop(false2) = false1 | not1(sK7) != true | sK7 = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_4083,c_15401]) ). 174.16/22.47 174.16/22.47 cnf(c_2693,plain, 174.16/22.47 ( not1(sK7) = not1(sK7) | sK7 != sK7 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2552]) ). 174.16/22.47 174.16/22.47 cnf(c_2694,plain, 174.16/22.47 ( sK7 = sK7 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1423]) ). 174.16/22.47 174.16/22.47 cnf(c_2696,plain, 174.16/22.47 ( X0 != not1(sK7) | not1(sK7) = X0 | not1(sK7) != not1(sK7) ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2550]) ). 174.16/22.47 174.16/22.47 cnf(c_2698,plain, 174.16/22.47 ( not1(sK7) != not1(sK7) | not1(sK7) = true | true != not1(sK7) ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2696]) ). 174.16/22.47 174.16/22.47 cnf(c_14,plain, 174.16/22.47 ( not1(false1) = true ), 174.16/22.47 inference(cnf_transformation,[],[f213]) ). 174.16/22.47 174.16/22.47 cnf(c_6894,plain, 174.16/22.47 ( true = not1(false1) ), 174.16/22.47 inference(resolution,[status(thm)],[c_6488,c_14]) ). 174.16/22.47 174.16/22.47 cnf(c_28522,plain, 174.16/22.47 ( not1(sK7) = not1(false1) | sK7 != false1 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2552]) ). 174.16/22.47 174.16/22.47 cnf(c_2887,plain, 174.16/22.47 ( X0 != X1 | X0 = not1(sK7) | not1(sK7) != X1 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1424]) ). 174.16/22.47 174.16/22.47 cnf(c_13696,plain, 174.16/22.47 ( X0 != not1(X1) | X0 = not1(sK7) | not1(sK7) != not1(X1) ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2887]) ). 174.16/22.47 174.16/22.47 cnf(c_109862,plain, 174.16/22.47 ( X0 = not1(sK7) | X0 != not1(false1) | not1(sK7) != not1(false1) ), 174.16/22.47 inference(instantiation,[status(thm)],[c_13696]) ). 174.16/22.47 174.16/22.47 cnf(c_109865,plain, 174.16/22.47 ( not1(sK7) != not1(false1) 174.16/22.47 | true = not1(sK7) 174.16/22.47 | true != not1(false1) ), 174.16/22.47 inference(instantiation,[status(thm)],[c_109862]) ). 174.16/22.47 174.16/22.47 cnf(c_316205,plain, 174.16/22.47 ( prop(false2) = false1 | sK7 = true ), 174.16/22.47 inference(global_propositional_subsumption, 174.16/22.47 [status(thm)], 174.16/22.47 [c_15615,c_2693,c_2694,c_2698,c_6894,c_14808,c_28522, 174.16/22.47 c_109865]) ). 174.16/22.47 174.16/22.47 cnf(c_8,plain, 174.16/22.47 ( ~ bool(X0) | prop(X0) != false1 ), 174.16/22.47 inference(cnf_transformation,[],[f207]) ). 174.16/22.47 174.16/22.47 cnf(c_2358,plain, 174.16/22.47 ( prop(X0) != false1 | bool(X0) != iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_8]) ). 174.16/22.47 174.16/22.47 cnf(c_316466,plain, 174.16/22.47 ( sK7 = true | bool(false2) != iProver_top ), 174.16/22.47 inference(superposition,[status(thm)],[c_316205,c_2358]) ). 174.16/22.47 174.16/22.47 cnf(c_317066,plain, 174.16/22.47 ( ~ bool(false2) | sK7 = true ), 174.16/22.47 inference(predicate_to_equality_rev,[status(thm)],[c_316466]) ). 174.16/22.47 174.16/22.47 cnf(c_268028,plain, 174.16/22.47 ( X0 != false2 | lazy_impl(true,lazy_impl(prop(sK1),sK1)) = X0 ), 174.16/22.47 inference(resolution,[status(thm)],[c_1424,c_12]) ). 174.16/22.47 174.16/22.47 cnf(c_268030,plain, 174.16/22.47 ( X0 != false1 | not1(true) = X0 ), 174.16/22.47 inference(resolution,[status(thm)],[c_1424,c_18]) ). 174.16/22.47 174.16/22.47 cnf(c_268057,plain, 174.16/22.47 ( X0 != X1 | X1 = X0 ), 174.16/22.47 inference(resolution,[status(thm)],[c_1424,c_1423]) ). 174.16/22.47 174.16/22.47 cnf(c_272653,plain, 174.16/22.47 ( X0 = not1(true) | X0 != false1 ), 174.16/22.47 inference(resolution,[status(thm)],[c_268030,c_268057]) ). 174.16/22.47 174.16/22.47 cnf(c_278957,plain, 174.16/22.47 ( bool(X0) | ~ bool(not1(true)) | X0 != false1 ), 174.16/22.47 inference(resolution,[status(thm)],[c_272653,c_1426]) ). 174.16/22.47 174.16/22.47 cnf(c_6459,plain, 174.16/22.47 ( X0 != false1 | not1(true) = X0 ), 174.16/22.47 inference(resolution,[status(thm)],[c_1424,c_18]) ). 174.16/22.47 174.16/22.47 cnf(c_8067,plain, 174.16/22.47 ( X0 = not1(true) | X0 != false1 ), 174.16/22.47 inference(resolution,[status(thm)],[c_6459,c_6488]) ). 174.16/22.47 174.16/22.47 cnf(c_10154,plain, 174.16/22.47 ( bool(X0) | ~ bool(not1(true)) | X0 != false1 ), 174.16/22.47 inference(resolution,[status(thm)],[c_8067,c_1426]) ). 174.16/22.47 174.16/22.47 cnf(c_306601,plain, 174.16/22.47 ( bool(X0) | X0 != false1 ), 174.16/22.47 inference(global_propositional_subsumption, 174.16/22.47 [status(thm)], 174.16/22.47 [c_278957,c_46,c_3307,c_10154]) ). 174.16/22.47 174.16/22.47 cnf(c_378770,plain, 174.16/22.47 ( bool(lazy_impl(true,lazy_impl(prop(sK1),sK1))) 174.16/22.47 | false1 != false2 ), 174.16/22.47 inference(resolution,[status(thm)],[c_268028,c_306601]) ). 174.16/22.47 174.16/22.47 cnf(c_224262,plain, 174.16/22.47 ( X0 != X1 | false1 != X1 | false1 = X0 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1424]) ). 174.16/22.47 174.16/22.47 cnf(c_259142,plain, 174.16/22.47 ( X0 != lazy_impl(true,false1) 174.16/22.47 | false1 = X0 174.16/22.47 | false1 != lazy_impl(true,false1) ), 174.16/22.47 inference(instantiation,[status(thm)],[c_224262]) ). 174.16/22.47 174.16/22.47 cnf(c_391544,plain, 174.16/22.47 ( false2 != lazy_impl(true,false1) 174.16/22.47 | false1 != lazy_impl(true,false1) 174.16/22.47 | false1 = false2 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_259142]) ). 174.16/22.47 174.16/22.47 cnf(c_508045,plain, 174.16/22.47 ( lazy_impl(true,lazy_impl(prop(false1),false1)) = false2 174.16/22.47 | sK1 = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_507670,c_12]) ). 174.16/22.47 174.16/22.47 cnf(c_508258,plain, 174.16/22.47 ( lazy_impl(true,lazy_impl(true,false1)) = false2 | sK1 = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_3245,c_508045]) ). 174.16/22.47 174.16/22.47 cnf(c_17228,plain, 174.16/22.47 ( d(lazy_impl(prop(sK1),sK1)) != iProver_top 174.16/22.47 | d(lazy_impl(true,false1)) = iProver_top ), 174.16/22.47 inference(superposition,[status(thm)],[c_2349,c_8136]) ). 174.16/22.47 174.16/22.47 cnf(c_97,plain, 174.16/22.47 ( d(false1) = iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_24]) ). 174.16/22.47 174.16/22.47 cnf(c_4486,plain, 174.16/22.47 ( ~ d(not1(X0)) | d(not1(X1)) | X1 != X0 ), 174.16/22.47 inference(resolution,[status(thm)],[c_1430,c_1437]) ). 174.16/22.47 174.16/22.47 cnf(c_6950,plain, 174.16/22.47 ( ~ d(not1(lazy_impl(true,err))) | d(not1(err)) ), 174.16/22.47 inference(resolution,[status(thm)],[c_6941,c_4486]) ). 174.16/22.47 174.16/22.47 cnf(c_7099,plain, 174.16/22.47 ( ~ d(lazy_impl(true,X0)) | d(not1(X0)) | bool(X0) ), 174.16/22.47 inference(resolution,[status(thm)],[c_6875,c_1437]) ). 174.16/22.47 174.16/22.47 cnf(c_4004,plain, 174.16/22.47 ( d(lazy_impl(true,X0)) | ~ d(not1(X0)) | bool(X0) ), 174.16/22.47 inference(resolution,[status(thm)],[c_1437,c_3]) ). 174.16/22.47 174.16/22.47 cnf(c_23,plain,( d(err) ),inference(cnf_transformation,[],[f160]) ). 174.16/22.47 174.16/22.47 cnf(c_29,plain, 174.16/22.47 ( d(X0) | lazy_impl(true,X0) = err ), 174.16/22.47 inference(cnf_transformation,[],[f220]) ). 174.16/22.47 174.16/22.47 cnf(c_4028,plain, 174.16/22.47 ( d(X0) | d(lazy_impl(true,X0)) | ~ d(err) ), 174.16/22.47 inference(resolution,[status(thm)],[c_1437,c_29]) ). 174.16/22.47 174.16/22.47 cnf(c_4772,plain, 174.16/22.47 ( d(lazy_impl(true,X0)) ), 174.16/22.47 inference(global_propositional_subsumption, 174.16/22.47 [status(thm)], 174.16/22.47 [c_4004,c_23,c_4024,c_4028]) ). 174.16/22.47 174.16/22.47 cnf(c_8436,plain, 174.16/22.47 ( d(not1(X0)) | bool(X0) ), 174.16/22.47 inference(global_propositional_subsumption, 174.16/22.47 [status(thm)], 174.16/22.47 [c_7099,c_23,c_4024,c_4028]) ). 174.16/22.47 174.16/22.47 cnf(c_8590,plain, 174.16/22.47 ( d(not1(err)) | bool(lazy_impl(true,err)) ), 174.16/22.47 inference(resolution,[status(thm)],[c_6950,c_8436]) ). 174.16/22.47 174.16/22.47 cnf(c_2559,plain, 174.16/22.47 ( X0 != X1 | err != X1 | err = X0 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1424]) ). 174.16/22.47 174.16/22.47 cnf(c_2818,plain, 174.16/22.47 ( X0 != err | err = X0 | err != err ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2559]) ). 174.16/22.47 174.16/22.47 cnf(c_3224,plain, 174.16/22.47 ( lazy_impl(true,err) != err 174.16/22.47 | err = lazy_impl(true,err) 174.16/22.47 | err != err ), 174.16/22.47 inference(instantiation,[status(thm)],[c_2818]) ). 174.16/22.47 174.16/22.47 cnf(c_3226,plain, 174.16/22.47 ( ~ d(err) | lazy_impl(true,err) = err ), 174.16/22.47 inference(instantiation,[status(thm)],[c_26]) ). 174.16/22.47 174.16/22.47 cnf(c_3025,plain, 174.16/22.47 ( ~ bool(X0) | bool(err) | err != X0 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_1426]) ). 174.16/22.47 174.16/22.47 cnf(c_5337,plain, 174.16/22.47 ( ~ bool(lazy_impl(true,err)) 174.16/22.47 | bool(err) 174.16/22.47 | err != lazy_impl(true,err) ), 174.16/22.47 inference(instantiation,[status(thm)],[c_3025]) ). 174.16/22.47 174.16/22.47 cnf(c_8609,plain, 174.16/22.47 ( d(not1(err)) ), 174.16/22.47 inference(global_propositional_subsumption, 174.16/22.47 [status(thm)], 174.16/22.47 [c_8590,c_42,c_41,c_23,c_2557,c_2558,c_2702,c_3224, 174.16/22.47 c_3226,c_5337,c_6975]) ). 174.16/22.47 174.16/22.47 cnf(c_6125,plain, 174.16/22.47 ( d(not1(lazy_impl(true,X0))) 174.16/22.47 | ~ d(not1(err)) 174.16/22.47 | lazy_impl(true,X0) = X0 ), 174.16/22.47 inference(resolution,[status(thm)],[c_4486,c_27]) ). 174.16/22.47 174.16/22.47 cnf(c_8620,plain, 174.16/22.47 ( d(not1(lazy_impl(true,X0))) | lazy_impl(true,X0) = X0 ), 174.16/22.47 inference(backward_subsumption_resolution, 174.16/22.47 [status(thm)], 174.16/22.47 [c_8609,c_6125]) ). 174.16/22.47 174.16/22.47 cnf(c_4020,plain, 174.16/22.47 ( d(not1(false1)) | ~ d(true) ), 174.16/22.47 inference(resolution,[status(thm)],[c_1437,c_14]) ). 174.16/22.47 174.16/22.47 cnf(c_4022,plain, 174.16/22.47 ( d(not1(true)) | ~ d(false1) ), 174.16/22.47 inference(resolution,[status(thm)],[c_1437,c_18]) ). 174.16/22.47 174.16/22.47 cnf(c_6112,plain, 174.16/22.47 ( d(not1(not1(false1))) | ~ d(not1(true)) ), 174.16/22.47 inference(resolution,[status(thm)],[c_4486,c_14]) ). 174.16/22.47 174.16/22.47 cnf(c_6114,plain, 174.16/22.47 ( d(not1(not1(true))) | ~ d(not1(false1)) ), 174.16/22.47 inference(resolution,[status(thm)],[c_4486,c_18]) ). 174.16/22.47 174.16/22.47 cnf(c_6124,plain, 174.16/22.47 ( d(X0) | d(not1(lazy_impl(true,X0))) | ~ d(not1(err)) ), 174.16/22.47 inference(resolution,[status(thm)],[c_4486,c_29]) ). 174.16/22.47 174.16/22.47 cnf(c_8621,plain, 174.16/22.47 ( d(X0) | d(not1(lazy_impl(true,X0))) ), 174.16/22.47 inference(backward_subsumption_resolution, 174.16/22.47 [status(thm)], 174.16/22.47 [c_8609,c_6124]) ). 174.16/22.47 174.16/22.47 cnf(c_6116,plain, 174.16/22.47 ( ~ d(X0) | ~ d(not1(X0)) | d(not1(lazy_impl(true,X0))) ), 174.16/22.47 inference(resolution,[status(thm)],[c_4486,c_26]) ). 174.16/22.47 174.16/22.47 cnf(c_9002,plain, 174.16/22.47 ( ~ d(not1(X0)) | d(not1(lazy_impl(true,X0))) ), 174.16/22.47 inference(backward_subsumption_resolution, 174.16/22.47 [status(thm)], 174.16/22.47 [c_8621,c_6116]) ). 174.16/22.47 174.16/22.47 cnf(c_6458,plain, 174.16/22.47 ( X0 != true | not1(false1) = X0 ), 174.16/22.47 inference(resolution,[status(thm)],[c_1424,c_14]) ). 174.16/22.47 174.16/22.47 cnf(c_8053,plain, 174.16/22.47 ( X0 = not1(false1) | X0 != true ), 174.16/22.47 inference(resolution,[status(thm)],[c_6458,c_6488]) ). 174.16/22.47 174.16/22.47 cnf(c_10135,plain, 174.16/22.47 ( d(not1(X0)) | ~ d(not1(not1(false1))) | X0 != true ), 174.16/22.47 inference(resolution,[status(thm)],[c_8053,c_4486]) ). 174.16/22.47 174.16/22.47 cnf(c_10157,plain, 174.16/22.47 ( d(not1(X0)) | ~ d(not1(not1(true))) | X0 != false1 ), 174.16/22.47 inference(resolution,[status(thm)],[c_8067,c_4486]) ). 174.16/22.47 174.16/22.47 cnf(c_6925,plain, 174.16/22.47 ( ~ bool(X0) | X0 = false1 | true = X0 ), 174.16/22.47 inference(resolution,[status(thm)],[c_6488,c_44]) ). 174.16/22.47 174.16/22.47 cnf(c_10554,plain, 174.16/22.47 ( ~ bool(X0) | X0 = false1 | X0 = true ), 174.16/22.47 inference(resolution,[status(thm)],[c_6925,c_6488]) ). 174.16/22.47 174.16/22.47 cnf(c_105853,plain, 174.16/22.47 ( d(not1(lazy_impl(true,X0))) ), 174.16/22.47 inference(global_propositional_subsumption, 174.16/22.47 [status(thm)], 174.16/22.47 [c_8620,c_25,c_24,c_4020,c_4022,c_6112,c_6114,c_8436, 174.16/22.47 c_9002,c_10135,c_10157,c_10554]) ). 174.16/22.47 174.16/22.47 cnf(c_6896,plain, 174.16/22.47 ( ~ d(X0) | X0 = lazy_impl(true,X0) ), 174.16/22.47 inference(resolution,[status(thm)],[c_6488,c_26]) ). 174.16/22.47 174.16/22.47 cnf(c_7213,plain, 174.16/22.47 ( ~ d(X0) | d(not1(X0)) | ~ d(not1(lazy_impl(true,X0))) ), 174.16/22.47 inference(resolution,[status(thm)],[c_6896,c_4486]) ). 174.16/22.47 174.16/22.47 cnf(c_105876,plain, 174.16/22.47 ( ~ d(X0) | d(not1(X0)) ), 174.16/22.47 inference(backward_subsumption_resolution, 174.16/22.47 [status(thm)], 174.16/22.47 [c_105853,c_7213]) ). 174.16/22.47 174.16/22.47 cnf(c_106119,plain, 174.16/22.47 ( d(not1(X0)) ), 174.16/22.47 inference(global_propositional_subsumption, 174.16/22.47 [status(thm)], 174.16/22.47 [c_105876,c_25,c_24,c_4020,c_4022,c_6112,c_6114,c_8436, 174.16/22.47 c_10135,c_10157,c_10554]) ). 174.16/22.47 174.16/22.47 cnf(c_10155,plain, 174.16/22.47 ( d(X0) | ~ d(not1(true)) | X0 != false1 ), 174.16/22.47 inference(resolution,[status(thm)],[c_8067,c_1437]) ). 174.16/22.47 174.16/22.47 cnf(c_107190,plain, 174.16/22.47 ( d(X0) | X0 != false1 ), 174.16/22.47 inference(backward_subsumption_resolution, 174.16/22.47 [status(thm)], 174.16/22.47 [c_106119,c_10155]) ). 174.16/22.47 174.16/22.47 cnf(c_110411,plain, 174.16/22.47 ( d(lazy_impl(true,false1)) | ~ d(false1) ), 174.16/22.47 inference(resolution,[status(thm)],[c_107190,c_26]) ). 174.16/22.47 174.16/22.47 cnf(c_110414,plain, 174.16/22.47 ( d(lazy_impl(true,false1)) = iProver_top 174.16/22.47 | d(false1) != iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_110411]) ). 174.16/22.47 174.16/22.47 cnf(c_441013,plain, 174.16/22.47 ( d(lazy_impl(true,false1)) = iProver_top ), 174.16/22.47 inference(global_propositional_subsumption, 174.16/22.47 [status(thm)], 174.16/22.47 [c_17228,c_97,c_110414]) ). 174.16/22.47 174.16/22.47 cnf(c_441078,plain, 174.16/22.47 ( lazy_impl(true,lazy_impl(true,false1)) = lazy_impl(true,false1) ), 174.16/22.47 inference(superposition,[status(thm)],[c_441013,c_2345]) ). 174.16/22.47 174.16/22.47 cnf(c_510075,plain, 174.16/22.47 ( lazy_impl(true,false1) = false2 | sK1 = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_508258,c_441078]) ). 174.16/22.47 174.16/22.47 cnf(c_510445,plain, 174.16/22.47 ( sK1 = true ), 174.16/22.47 inference(global_propositional_subsumption, 174.16/22.47 [status(thm)], 174.16/22.47 [c_508039,c_51,c_46,c_24,c_18,c_2554,c_2605,c_2610, 174.16/22.47 c_2629,c_3217,c_3869,c_7111,c_10634,c_15338,c_16309, 174.16/22.47 c_23441,c_45011,c_45025,c_317066,c_378770,c_391544, 174.16/22.47 c_510075]) ). 174.16/22.47 174.16/22.47 cnf(c_510813,plain, 174.16/22.47 ( lazy_impl(true,lazy_impl(false1,true)) = false2 174.16/22.47 | prop(sK1) = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_510445,c_10399]) ). 174.16/22.47 174.16/22.47 cnf(c_53,plain, 174.16/22.47 ( ~ bool(true) | prop(true) = true ), 174.16/22.47 inference(instantiation,[status(thm)],[c_50]) ). 174.16/22.47 174.16/22.47 cnf(c_55,plain, 174.16/22.47 ( prop(X0) != true | bool(X0) = iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_49]) ). 174.16/22.47 174.16/22.47 cnf(c_57,plain, 174.16/22.47 ( prop(true) != true | bool(true) = iProver_top ), 174.16/22.47 inference(instantiation,[status(thm)],[c_55]) ). 174.16/22.47 174.16/22.47 cnf(c_5,plain, 174.16/22.47 ( bool(X0) | lazy_impl(X0,X1) = lazy_impl(true,X0) ), 174.16/22.47 inference(cnf_transformation,[],[f204]) ). 174.16/22.47 174.16/22.47 cnf(c_2361,plain, 174.16/22.47 ( lazy_impl(X0,X1) = lazy_impl(true,X0) | bool(X0) = iProver_top ), 174.16/22.47 inference(predicate_to_equality,[status(thm)],[c_5]) ). 174.16/22.47 174.16/22.47 cnf(c_5356,plain, 174.16/22.47 ( lazy_impl(X0,X1) = lazy_impl(true,X0) | false1 = X0 | true = X0 ), 174.16/22.47 inference(superposition,[status(thm)],[c_2361,c_2334]) ). 174.16/22.47 174.16/22.47 cnf(c_409346,plain, 174.16/22.47 ( lazy_impl(true,lazy_impl(true,prop(sK1))) = false2 174.16/22.47 | prop(sK1) = false1 174.16/22.47 | prop(sK1) = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_5356,c_12]) ). 174.16/22.47 174.16/22.47 cnf(c_412068,plain, 174.16/22.47 ( lazy_impl(true,prop(sK1)) = err 174.16/22.47 | lazy_impl(true,prop(sK1)) = false2 174.16/22.47 | prop(sK1) = false1 174.16/22.47 | prop(sK1) = true ), 174.16/22.47 inference(superposition,[status(thm)],[c_27,c_409346]) ). 174.16/22.47 174.16/22.47 cnf(c_33,plain, 174.16/22.47 ( ~ bool(X0) | and1(true,X0) = X0 ), 174.16/22.47 inference(cnf_transformation,[],[f168]) ). 174.16/22.47 174.16/22.47 cnf(c_3323,plain, 174.16/22.47 ( ~ bool(X0) | bool(and1(true,X0)) ), 174.16/22.47 inference(resolution,[status(thm)],[c_1426,c_33]) ). 174.16/22.47 174.16/22.47 cnf(c_3325,plain, 174.16/22.47 ( bool(and1(true,true)) | ~ bool(true) ), 174.16/22.47 inference(instantiation,[status(thm)],[c_3323]) ). 174.16/22.47 174.16/22.47 cnf(c_1435,plain, 174.16/22.47 ( X0 != X1 | and1(X0,X2) = and1(X1,X2) ), 174.16/22.47 theory(equality) ). 174.16/22.47 174.16/22.47 cnf(c_6414,plain, 174.16/22.47 ( ~ bool(and1(X0,X1)) | bool(and1(X2,X1)) | X2 != X0 ), 174.16/22.47 inference(resolution,[status(thm)],[c_1435,c_1426]) ). 174.16/22.47 174.16/22.47 cnf(c_35489,plain, 174.16/22.47 ( ~ bool(and1(X0,X1)) 174.16/22.47 | bool(and1(lazy_impl(true,lazy_impl(prop(sK1),sK1)),X1)) 174.16/22.47 | X0 != false2 ), 174.16/22.47 inference(resolution,[status(thm)],[c_6456,c_6414]) ). 174.16/22.47 174.16/22.47 cnf(c_35491,plain, 174.16/22.47 ( bool(and1(lazy_impl(true,lazy_impl(prop(sK1),sK1)),true)) 174.16/22.47 | ~ bool(and1(true,true)) 174.16/22.47 | true != false2 ), 174.16/22.47 inference(instantiation,[status(thm)],[c_35489]) ). 174.16/22.47 174.16/22.47 cnf(c_32235,plain, 174.16/22.47 ( ~ bool(and1(not1(err),X0)) | bool(and1(err,X0)) ), 174.16/22.47 inference(resolution,[status(thm)],[c_6414,c_11301]) ). 174.16/22.47 174.16/22.47 cnf(c_31,plain, 174.16/22.47 ( bool(X0) | and1(X0,X1) = lazy_impl(true,X0) ), 174.16/22.47 inference(cnf_transformation,[],[f222]) ). 174.16/22.47 174.16/22.47 cnf(c_11025,plain, 174.16/22.47 ( bool(err) | err = and1(err,X0) ), 174.16/22.47 inference(resolution,[status(thm)],[c_6945,c_31]) ). 174.16/22.47 174.16/22.47 cnf(c_2703,plain, 174.16/22.47 ( false1 = err | true = err | bool(err) != iProver_top ), 174.16/22.48 inference(predicate_to_equality,[status(thm)],[c_2702]) ). 174.16/22.48 174.16/22.48 cnf(c_2983,plain, 174.16/22.48 ( bool(err) | and1(err,X0) = lazy_impl(true,err) ), 174.16/22.48 inference(instantiation,[status(thm)],[c_31]) ). 174.16/22.48 174.16/22.48 cnf(c_2998,plain, 174.16/22.48 ( and1(err,X0) = lazy_impl(true,err) | bool(err) = iProver_top ), 174.16/22.48 inference(predicate_to_equality,[status(thm)],[c_2983]) ). 174.16/22.48 174.16/22.48 cnf(c_4583,plain, 174.16/22.48 ( X0 != lazy_impl(true,err) 174.16/22.48 | err = X0 174.16/22.48 | err != lazy_impl(true,err) ), 174.16/22.48 inference(instantiation,[status(thm)],[c_2559]) ). 174.16/22.48 174.16/22.48 cnf(c_9708,plain, 174.16/22.48 ( and1(err,X0) != lazy_impl(true,err) 174.16/22.48 | err = and1(err,X0) 174.16/22.48 | err != lazy_impl(true,err) ), 174.16/22.48 inference(instantiation,[status(thm)],[c_4583]) ). 174.16/22.48 174.16/22.48 cnf(c_12340,plain, 174.16/22.48 ( err = and1(err,X0) ), 174.16/22.48 inference(global_propositional_subsumption, 174.16/22.48 [status(thm)], 174.16/22.48 [c_11025,c_42,c_41,c_23,c_2557,c_2558,c_2703,c_2998, 174.16/22.48 c_3224,c_3226,c_6975,c_9708]) ). 174.16/22.48 174.16/22.48 cnf(c_12351,plain, 174.16/22.48 ( ~ bool(and1(err,X0)) | bool(err) ), 174.16/22.48 inference(resolution,[status(thm)],[c_12340,c_1426]) ). 174.16/22.48 174.16/22.48 cnf(c_54082,plain, 174.16/22.48 ( ~ bool(and1(not1(err),X0)) ), 174.16/22.48 inference(global_propositional_subsumption, 174.16/22.48 [status(thm)], 174.16/22.48 [c_32235,c_42,c_41,c_2557,c_2558,c_2702,c_6975,c_12351]) ). 174.16/22.48 174.16/22.48 cnf(c_11307,plain, 174.16/22.48 ( not1(err) = err ), 174.16/22.48 inference(resolution,[status(thm)],[c_11301,c_6488]) ). 174.16/22.48 174.16/22.48 cnf(c_11413,plain, 174.16/22.48 ( X0 != err | not1(err) = X0 ), 174.16/22.48 inference(resolution,[status(thm)],[c_11307,c_1424]) ). 174.16/22.48 174.16/22.48 cnf(c_32247,plain, 174.16/22.48 ( ~ bool(and1(X0,X1)) | bool(and1(not1(err),X1)) | X0 != err ), 174.16/22.48 inference(resolution,[status(thm)],[c_6414,c_11413]) ). 174.16/22.48 174.16/22.48 cnf(c_54761,plain, 174.16/22.48 ( ~ bool(and1(X0,X1)) | X0 != err ), 174.16/22.48 inference(backward_subsumption_resolution, 174.16/22.48 [status(thm)], 174.16/22.48 [c_54082,c_32247]) ). 174.16/22.48 174.16/22.48 cnf(c_103008,plain, 174.16/22.48 ( ~ bool(and1(lazy_impl(true,lazy_impl(prop(sK1),sK1)),X0)) 174.16/22.48 | err != false2 ), 174.16/22.48 inference(resolution,[status(thm)],[c_54761,c_6456]) ). 174.16/22.48 174.16/22.48 cnf(c_103010,plain, 174.16/22.48 ( ~ bool(and1(lazy_impl(true,lazy_impl(prop(sK1),sK1)),true)) 174.16/22.48 | err != false2 ), 174.16/22.48 inference(instantiation,[status(thm)],[c_103008]) ). 174.16/22.48 174.16/22.48 cnf(c_409343,plain, 174.16/22.48 ( lazy_impl(true,prop(sK1)) = false2 174.16/22.48 | prop(sK1) = false1 174.16/22.48 | prop(sK1) = true 174.16/22.48 | err = false2 ), 174.16/22.48 inference(superposition,[status(thm)],[c_5356,c_5368]) ). 174.16/22.48 174.16/22.48 cnf(c_416340,plain, 174.16/22.48 ( lazy_impl(true,prop(sK1)) = false2 174.16/22.48 | prop(sK1) = false1 174.16/22.48 | prop(sK1) = true ), 174.16/22.48 inference(global_propositional_subsumption, 174.16/22.48 [status(thm)], 174.16/22.48 [c_412068,c_45,c_65,c_43,c_3325,c_10984,c_17325,c_35491, 174.16/22.48 c_103010,c_409343]) ). 174.16/22.48 174.16/22.48 cnf(c_416481,plain, 174.16/22.48 ( lazy_impl(true,prop(sK1)) = err 174.16/22.48 | prop(sK1) = false2 174.16/22.48 | prop(sK1) = false1 174.16/22.48 | prop(sK1) = true ), 174.16/22.48 inference(superposition,[status(thm)],[c_416340,c_27]) ). 174.16/22.48 174.16/22.48 cnf(c_416407,plain, 174.16/22.48 ( lazy_impl(true,false1) = false2 174.16/22.48 | prop(sK1) = false1 174.16/22.48 | prop(sK1) = true ), 174.16/22.48 inference(superposition,[status(thm)],[c_3242,c_416340]) ). 174.16/22.48 174.16/22.48 cnf(c_416619,plain, 174.16/22.48 ( prop(sK1) = false1 | prop(sK1) = true ), 174.16/22.48 inference(global_propositional_subsumption, 174.16/22.48 [status(thm)], 174.16/22.48 [c_416481,c_51,c_46,c_24,c_18,c_2554,c_2605,c_2610, 174.16/22.48 c_2629,c_3217,c_3869,c_7111,c_10634,c_15338,c_16309, 174.16/22.48 c_23441,c_45011,c_45025,c_317066,c_378770,c_391544, 174.16/22.48 c_416407]) ). 174.16/22.48 174.16/22.48 cnf(c_416880,plain, 174.16/22.48 ( prop(sK1) = true | bool(sK1) != iProver_top ), 174.16/22.48 inference(superposition,[status(thm)],[c_416619,c_2358]) ). 174.16/22.48 174.16/22.48 cnf(c_510522,plain, 174.16/22.48 ( prop(sK1) = true | bool(true) != iProver_top ), 174.16/22.48 inference(superposition,[status(thm)],[c_510445,c_416880]) ). 174.16/22.48 174.16/22.48 cnf(c_513161,plain, 174.16/22.48 ( prop(sK1) = true ), 174.16/22.48 inference(global_propositional_subsumption, 174.16/22.48 [status(thm)], 174.16/22.48 [c_510813,c_53,c_57,c_45,c_510522]) ). 174.16/22.48 174.16/22.48 cnf(c_513455,plain, 174.16/22.48 ( bool(sK1) = iProver_top ), 174.16/22.48 inference(superposition,[status(thm)],[c_513161,c_2329]) ). 174.16/22.48 174.16/22.48 cnf(c_7,plain, 174.16/22.48 ( ~ bool(X0) | bool(X1) | or1(X0,X1) = lazy_impl(true,X1) ), 174.16/22.48 inference(cnf_transformation,[],[f206]) ). 174.16/22.48 174.16/22.48 cnf(c_2359,plain, 174.16/22.48 ( or1(X0,X1) = lazy_impl(true,X1) 174.16/22.48 | bool(X0) != iProver_top 174.16/22.48 | bool(X1) = iProver_top ), 174.16/22.48 inference(predicate_to_equality,[status(thm)],[c_7]) ). 174.16/22.48 174.16/22.48 cnf(c_518306,plain, 174.16/22.48 ( lazy_impl(true,X0) = or1(sK1,X0) | bool(X0) = iProver_top ), 174.16/22.48 inference(superposition,[status(thm)],[c_513455,c_2359]) ). 174.16/22.48 174.16/22.48 cnf(c_527704,plain, 174.16/22.48 ( lazy_impl(true,X0) = or1(sK1,X0) | prop(X0) = true ), 174.16/22.48 inference(superposition,[status(thm)],[c_518306,c_2328]) ). 174.16/22.48 174.16/22.48 cnf(c_11,plain, 174.16/22.48 ( ~ bool(X0) | bool(X1) | impl(X0,X1) = lazy_impl(true,X1) ), 174.16/22.48 inference(cnf_transformation,[],[f210]) ). 174.16/22.48 174.16/22.48 cnf(c_2355,plain, 174.16/22.48 ( impl(X0,X1) = lazy_impl(true,X1) 174.16/22.48 | bool(X0) != iProver_top 174.16/22.48 | bool(X1) = iProver_top ), 174.16/22.48 inference(predicate_to_equality,[status(thm)],[c_11]) ). 174.16/22.48 174.16/22.48 cnf(c_14815,plain, 174.16/22.48 ( impl(sK7,X0) = lazy_impl(true,X0) | bool(X0) = iProver_top ), 174.16/22.48 inference(superposition,[status(thm)],[c_14730,c_2355]) ). 174.16/22.48 174.16/22.48 cnf(c_32552,plain, 174.16/22.48 ( impl(sK7,X0) = lazy_impl(true,X0) | prop(X0) = true ), 174.16/22.48 inference(superposition,[status(thm)],[c_14815,c_2328]) ). 174.16/22.48 174.16/22.48 cnf(c_38119,plain, 174.16/22.48 ( lazy_impl(true,false2) != not1(sK7) | prop(false2) = true ), 174.16/22.48 inference(superposition,[status(thm)],[c_32552,c_51]) ). 174.16/22.48 174.16/22.48 cnf(c_529962,plain, 174.16/22.48 ( or1(sK1,false2) != not1(sK7) | prop(false2) = true ), 174.16/22.48 inference(superposition,[status(thm)],[c_527704,c_38119]) ). 174.16/22.48 174.16/22.48 cnf(c_6900,plain, 174.16/22.48 ( ~ d(true) | true = lazy_impl(true,true) ), 174.16/22.48 inference(instantiation,[status(thm)],[c_6896]) ). 174.16/22.48 174.16/22.48 cnf(c_7109,plain, 174.16/22.48 ( X0 != lazy_impl(true,lazy_impl(prop(sK1),sK1)) | false2 = X0 ), 174.16/22.48 inference(resolution,[status(thm)],[c_6893,c_1424]) ). 174.16/22.48 174.16/22.48 cnf(c_7110,plain, 174.16/22.48 ( false2 = true 174.16/22.48 | true != lazy_impl(true,lazy_impl(prop(sK1),sK1)) ), 174.16/22.48 inference(instantiation,[status(thm)],[c_7109]) ). 174.16/22.48 174.16/22.48 cnf(c_48844,plain, 174.16/22.48 ( ~ bool(X0) | bool(false2) | false2 != X0 ), 174.16/22.48 inference(instantiation,[status(thm)],[c_1426]) ). 174.16/22.48 174.16/22.48 cnf(c_48846,plain, 174.16/22.48 ( bool(false2) | ~ bool(true) | false2 != true ), 174.16/22.48 inference(instantiation,[status(thm)],[c_48844]) ). 174.16/22.48 174.16/22.48 cnf(c_1427,plain, 174.16/22.48 ( X0 != X1 | X2 != X3 | lazy_impl(X0,X2) = lazy_impl(X1,X3) ), 174.16/22.48 theory(equality) ). 174.16/22.48 174.16/22.48 cnf(c_230404,plain, 174.16/22.48 ( X0 != X1 174.16/22.48 | lazy_impl(prop(X0),X0) = lazy_impl(X2,X1) 174.16/22.48 | prop(X0) != X2 ), 174.16/22.48 inference(instantiation,[status(thm)],[c_1427]) ). 174.16/22.48 174.16/22.48 cnf(c_240426,plain, 174.16/22.48 ( lazy_impl(prop(sK1),sK1) = lazy_impl(X0,X1) 174.16/22.48 | prop(sK1) != X0 174.16/22.48 | sK1 != X1 ), 174.16/22.48 inference(instantiation,[status(thm)],[c_230404]) ). 174.16/22.48 174.16/22.48 cnf(c_240431,plain, 174.16/22.48 ( lazy_impl(prop(sK1),sK1) = lazy_impl(true,true) 174.16/22.48 | prop(sK1) != true 174.16/22.48 | sK1 != true ), 174.16/22.48 inference(instantiation,[status(thm)],[c_240426]) ). 174.16/22.48 174.16/22.48 cnf(c_230402,plain, 174.16/22.48 ( X0 != X1 174.16/22.48 | lazy_impl(prop(X2),X2) != X1 174.16/22.48 | lazy_impl(prop(X2),X2) = X0 ), 174.16/22.48 inference(instantiation,[status(thm)],[c_1424]) ). 174.16/22.48 174.16/22.48 cnf(c_240402,plain, 174.16/22.48 ( X0 != lazy_impl(X1,X2) 174.16/22.48 | lazy_impl(prop(X3),X3) = X0 174.16/22.48 | lazy_impl(prop(X3),X3) != lazy_impl(X1,X2) ), 174.16/22.48 inference(instantiation,[status(thm)],[c_230402]) ). 174.16/22.48 174.16/22.48 cnf(c_261792,plain, 174.16/22.48 ( X0 != lazy_impl(X1,X2) 174.16/22.48 | lazy_impl(prop(sK1),sK1) = X0 174.16/22.48 | lazy_impl(prop(sK1),sK1) != lazy_impl(X1,X2) ), 174.16/22.48 inference(instantiation,[status(thm)],[c_240402]) ). 174.16/22.48 174.16/22.48 cnf(c_261793,plain, 174.16/22.48 ( lazy_impl(prop(sK1),sK1) != lazy_impl(true,true) 174.16/22.48 | lazy_impl(prop(sK1),sK1) = true 174.16/22.48 | true != lazy_impl(true,true) ), 174.16/22.48 inference(instantiation,[status(thm)],[c_261792]) ). 174.16/22.48 174.16/22.48 cnf(c_272830,plain, 174.16/22.48 ( ~ bool(false2) | prop(false2) = true ), 174.16/22.48 inference(instantiation,[status(thm)],[c_50]) ). 174.16/22.48 174.16/22.48 cnf(c_263317,plain, 174.16/22.48 ( X0 != X1 174.16/22.48 | X0 = lazy_impl(true,lazy_impl(prop(sK1),sK1)) 174.16/22.48 | lazy_impl(true,lazy_impl(prop(sK1),sK1)) != X1 ), 174.16/22.48 inference(instantiation,[status(thm)],[c_1424]) ). 174.16/22.48 174.16/22.48 cnf(c_299757,plain, 174.16/22.48 ( X0 != lazy_impl(X1,X2) 174.16/22.48 | X0 = lazy_impl(true,lazy_impl(prop(sK1),sK1)) 174.16/22.48 | lazy_impl(true,lazy_impl(prop(sK1),sK1)) != lazy_impl(X1,X2) ), 174.16/22.48 inference(instantiation,[status(thm)],[c_263317]) ). 174.16/22.48 174.16/22.48 cnf(c_299759,plain, 174.16/22.48 ( lazy_impl(true,lazy_impl(prop(sK1),sK1)) != lazy_impl(true,true) 174.16/22.48 | true = lazy_impl(true,lazy_impl(prop(sK1),sK1)) 174.16/22.48 | true != lazy_impl(true,true) ), 174.16/22.48 inference(instantiation,[status(thm)],[c_299757]) ). 174.16/22.48 174.16/22.48 cnf(c_299758,plain, 174.16/22.48 ( lazy_impl(prop(sK1),sK1) != X0 174.16/22.48 | lazy_impl(true,lazy_impl(prop(sK1),sK1)) = lazy_impl(X1,X0) 174.16/22.48 | true != X1 ), 174.16/22.48 inference(instantiation,[status(thm)],[c_1427]) ). 174.16/22.48 174.16/22.48 cnf(c_299760,plain, 174.16/22.48 ( lazy_impl(prop(sK1),sK1) != true 174.16/22.48 | lazy_impl(true,lazy_impl(prop(sK1),sK1)) = lazy_impl(true,true) 174.16/22.48 | true != true ), 174.16/22.48 inference(instantiation,[status(thm)],[c_299758]) ). 174.16/22.48 174.16/22.48 cnf(c_539178,plain, 174.16/22.48 ( prop(false2) = true ), 174.16/22.48 inference(global_propositional_subsumption, 174.16/22.48 [status(thm)], 174.16/22.48 [c_529962,c_51,c_53,c_57,c_46,c_45,c_65,c_43,c_25,c_24, 174.16/22.48 c_18,c_2554,c_2605,c_2610,c_2629,c_3217,c_3869,c_6900, 174.16/22.48 c_7110,c_7111,c_10634,c_15338,c_16309,c_23441,c_45011, 174.16/22.48 c_45025,c_48846,c_240431,c_261793,c_272830,c_299759, 174.16/22.48 c_299760,c_317066,c_378770,c_391544,c_510075,c_510522]) ). 174.16/22.48 174.16/22.48 cnf(c_539487,plain, 174.16/22.48 ( bool(false2) = iProver_top ), 174.16/22.48 inference(superposition,[status(thm)],[c_539178,c_2329]) ). 174.16/22.48 174.16/22.48 cnf(c_540239,plain, 174.16/22.48 ( false2 = false1 | false2 = true ), 174.16/22.48 inference(superposition,[status(thm)],[c_539487,c_2334]) ). 174.16/22.48 174.16/22.48 cnf(c_547449,plain, 174.16/22.48 ( false2 = true ), 174.16/22.48 inference(global_propositional_subsumption, 174.16/22.48 [status(thm)], 174.16/22.48 [c_540239,c_51,c_53,c_57,c_46,c_45,c_65,c_43,c_25,c_24, 174.16/22.48 c_18,c_2554,c_2605,c_2610,c_2629,c_3217,c_3869,c_6900, 174.16/22.48 c_7110,c_7111,c_10634,c_15338,c_16309,c_23441,c_45011, 174.16/22.48 c_45025,c_240431,c_261793,c_299759,c_299760,c_317066, 174.16/22.48 c_378770,c_391544,c_510075,c_510522]) ). 174.16/22.48 174.16/22.48 cnf(c_547520,plain, 174.16/22.48 ( err = false2 174.16/22.48 | forallprefers(lazy_impl(true,false1),true) != iProver_top ), 174.16/22.48 inference(superposition,[status(thm)],[c_547449,c_17240]) ). 174.16/22.48 174.16/22.48 cnf(c_63110,plain, 174.16/22.48 ( X0 != lazy_impl(true,lazy_impl(prop(sK1),sK1)) 174.16/22.48 | X0 = false2 174.16/22.48 | false2 != lazy_impl(true,lazy_impl(prop(sK1),sK1)) ), 174.16/22.48 inference(instantiation,[status(thm)],[c_17324]) ). 174.16/22.48 174.16/22.48 cnf(c_63111,plain, 174.16/22.48 ( false2 != lazy_impl(true,lazy_impl(prop(sK1),sK1)) 174.16/22.48 | true != lazy_impl(true,lazy_impl(prop(sK1),sK1)) 174.16/22.48 | true = false2 ), 174.16/22.48 inference(instantiation,[status(thm)],[c_63110]) ). 174.16/22.48 174.16/22.48 cnf(contradiction,plain, 174.16/22.48 ( $false ), 174.16/22.48 inference(minisat, 174.16/22.48 [status(thm)], 174.16/22.48 [c_547520,c_510522,c_510445,c_299760,c_299759,c_261793, 174.16/22.48 c_240431,c_103010,c_63111,c_35491,c_6900,c_6893,c_3325, 174.16/22.48 c_2749,c_2629,c_100,c_24,c_25,c_43,c_65,c_45,c_57,c_53]) ). 174.16/22.48 174.16/22.48 174.16/22.48 % SZS output end CNFRefutation for theBenchmark.p 174.16/22.48 174.16/22.48 ------ Statistics 174.16/22.48 174.16/22.48 ------ Selected 174.16/22.48 174.16/22.48 total_time: 21.931 174.16/22.48 174.16/22.48 EOF