0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 --problem_version fof /export/starexec/sandbox2/benchmark/theBenchmark.p 120 --prover /export/starexec/sandbox2/solver/bin/res/iproveropt_no_z3 0.12/0.33 % Computer : n009.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 05:34:05 EDT 2022 0.12/0.33 % CPUTime : 12.79/3.31 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p 12.79/3.31 12.79/3.31 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 12.79/3.31 12.79/3.31 ------ iProver source info 12.79/3.31 12.79/3.31 git: date: 2022-07-26 19:47:37 +0300 12.79/3.31 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 12.79/3.31 git: non_committed_changes: false 12.79/3.31 git: last_make_outside_of_git: false 12.79/3.31 12.79/3.31 ------ Parsing... 12.79/3.31 ------ Clausification by vclausify_rel & Parsing by iProver... 12.79/3.31 12.79/3.31 ------ Preprocessing... sup_sim: 15 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e 12.79/3.31 12.79/3.31 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 12.79/3.31 12.79/3.31 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 12.79/3.31 ------ Proving... 12.79/3.31 ------ Problem Properties 12.79/3.31 12.79/3.31 12.79/3.31 clauses 39 12.79/3.31 conjectures 1 12.79/3.31 EPR 14 12.79/3.31 Horn 32 12.79/3.31 unary 13 12.79/3.31 binary 10 12.79/3.31 lits 99 12.79/3.31 lits eq 12 12.79/3.31 fd_pure 0 12.79/3.31 fd_pseudo 0 12.79/3.31 fd_cond 1 12.79/3.31 fd_pseudo_cond 8 12.79/3.31 AC symbols 0 12.79/3.31 12.79/3.31 ------ Schedule dynamic 5 is on 12.79/3.31 12.79/3.31 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10. 12.79/3.31 12.79/3.31 12.79/3.31 ------ 12.79/3.31 Current options: 12.79/3.31 ------ 12.79/3.31 12.79/3.31 12.79/3.31 12.79/3.31 12.79/3.31 ------ Proving... 12.79/3.31 12.79/3.31 12.79/3.31 % SZS status Theorem for theBenchmark.p 12.79/3.31 12.79/3.31 % SZS output start CNFRefutation for theBenchmark.p 12.79/3.31 12.79/3.31 fof(f16,conjecture,( 12.79/3.31 ! [X0,X1,X2,X3] : (relation(X3) => ((in(ordered_pair(X0,X1),X3) & in(X0,X2)) <=> in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3))))), 12.79/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t74_relat_1)). 12.79/3.31 12.79/3.31 fof(f17,negated_conjecture,( 12.79/3.31 ~! [X0,X1,X2,X3] : (relation(X3) => ((in(ordered_pair(X0,X1),X3) & in(X0,X2)) <=> in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3))))), 12.79/3.31 inference(negated_conjecture,[],[f16])). 12.79/3.31 12.79/3.31 fof(f39,plain,( 12.79/3.31 ? [X0,X1,X2,X3] : (((in(ordered_pair(X0,X1),X3) & in(X0,X2)) <~> in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3))) & relation(X3))), 12.79/3.31 inference(ennf_transformation,[],[f17])). 12.79/3.31 12.79/3.31 fof(f56,plain,( 12.79/3.31 ? [X0,X1,X2,X3] : (((~in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3)) | (~in(ordered_pair(X0,X1),X3) | ~in(X0,X2))) & (in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3)) | (in(ordered_pair(X0,X1),X3) & in(X0,X2)))) & relation(X3))), 12.79/3.31 inference(nnf_transformation,[],[f39])). 12.79/3.31 12.79/3.31 fof(f57,plain,( 12.79/3.31 ? [X0,X1,X2,X3] : ((~in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3)) | ~in(ordered_pair(X0,X1),X3) | ~in(X0,X2)) & (in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3)) | (in(ordered_pair(X0,X1),X3) & in(X0,X2))) & relation(X3))), 12.79/3.31 inference(flattening,[],[f56])). 12.79/3.31 12.79/3.31 fof(f58,plain,( 12.79/3.31 ? [X0,X1,X2,X3] : ((~in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3)) | ~in(ordered_pair(X0,X1),X3) | ~in(X0,X2)) & (in(ordered_pair(X0,X1),relation_composition(identity_relation(X2),X3)) | (in(ordered_pair(X0,X1),X3) & in(X0,X2))) & relation(X3)) => ((~in(ordered_pair(sK3,sK4),relation_composition(identity_relation(sK5),sK6)) | ~in(ordered_pair(sK3,sK4),sK6) | ~in(sK3,sK5)) & (in(ordered_pair(sK3,sK4),relation_composition(identity_relation(sK5),sK6)) | (in(ordered_pair(sK3,sK4),sK6) & in(sK3,sK5))) & relation(sK6))), 12.79/3.31 introduced(choice_axiom,[])). 12.79/3.31 12.79/3.31 fof(f59,plain,( 12.79/3.31 (~in(ordered_pair(sK3,sK4),relation_composition(identity_relation(sK5),sK6)) | ~in(ordered_pair(sK3,sK4),sK6) | ~in(sK3,sK5)) & (in(ordered_pair(sK3,sK4),relation_composition(identity_relation(sK5),sK6)) | (in(ordered_pair(sK3,sK4),sK6) & in(sK3,sK5))) & relation(sK6)), 12.79/3.31 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f57,f58])). 12.79/3.31 12.79/3.31 fof(f92,plain,( 12.79/3.31 in(ordered_pair(sK3,sK4),relation_composition(identity_relation(sK5),sK6)) | in(ordered_pair(sK3,sK4),sK6)), 12.79/3.31 inference(cnf_transformation,[],[f59])). 12.79/3.31 12.79/3.31 fof(f5,axiom,( 12.79/3.31 ! [X0,X1] : unordered_pair(unordered_pair(X0,X1),singleton(X0)) = ordered_pair(X0,X1)), 12.79/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski)). 12.79/3.31 12.79/3.31 fof(f79,plain,( 12.79/3.31 ( ! [X0,X1] : (unordered_pair(unordered_pair(X0,X1),singleton(X0)) = ordered_pair(X0,X1)) )), 12.79/3.31 inference(cnf_transformation,[],[f5])). 12.79/3.31 12.79/3.31 fof(f120,plain,( 12.79/3.31 in(unordered_pair(unordered_pair(sK3,sK4),singleton(sK3)),relation_composition(identity_relation(sK5),sK6)) | in(unordered_pair(unordered_pair(sK3,sK4),singleton(sK3)),sK6)), 12.79/3.31 inference(definition_unfolding,[],[f92,f79,f79])). 12.79/3.31 12.79/3.31 fof(f25,axiom,( 12.79/3.31 ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0)), 12.79/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski)). 12.79/3.31 12.79/3.31 fof(f112,plain,( 12.79/3.31 ( ! [X0,X1] : (unordered_pair(X0,X1) = unordered_pair(X1,X0)) )), 12.79/3.31 inference(cnf_transformation,[],[f25])). 12.79/3.31 12.79/3.31 fof(f18,axiom,( 12.79/3.31 ! [X0,X1] : (relation(X1) => (! [X2,X3] : ((in(X2,X0) & X2 = X3) <=> in(ordered_pair(X2,X3),X1)) <=> identity_relation(X0) = X1))), 12.79/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_relat_1)). 12.79/3.31 12.79/3.31 fof(f40,plain,( 12.79/3.31 ! [X0,X1] : ((! [X2,X3] : ((in(X2,X0) & X2 = X3) <=> in(ordered_pair(X2,X3),X1)) <=> identity_relation(X0) = X1) | ~relation(X1))), 12.79/3.31 inference(ennf_transformation,[],[f18])). 12.79/3.31 12.79/3.31 fof(f60,plain,( 12.79/3.31 ! [X0,X1] : (((! [X2,X3] : (((in(X2,X0) & X2 = X3) | ~in(ordered_pair(X2,X3),X1)) & (in(ordered_pair(X2,X3),X1) | (~in(X2,X0) | X2 != X3))) | identity_relation(X0) != X1) & (identity_relation(X0) = X1 | ? [X2,X3] : ((~in(ordered_pair(X2,X3),X1) | (~in(X2,X0) | X2 != X3)) & (in(ordered_pair(X2,X3),X1) | (in(X2,X0) & X2 = X3))))) | ~relation(X1))), 12.79/3.31 inference(nnf_transformation,[],[f40])). 12.79/3.31 12.79/3.31 fof(f61,plain,( 12.79/3.31 ! [X0,X1] : (((! [X2,X3] : (((in(X2,X0) & X2 = X3) | ~in(ordered_pair(X2,X3),X1)) & (in(ordered_pair(X2,X3),X1) | ~in(X2,X0) | X2 != X3)) | identity_relation(X0) != X1) & (identity_relation(X0) = X1 | ? [X2,X3] : ((~in(ordered_pair(X2,X3),X1) | ~in(X2,X0) | X2 != X3) & (in(ordered_pair(X2,X3),X1) | (in(X2,X0) & X2 = X3))))) | ~relation(X1))), 12.79/3.31 inference(flattening,[],[f60])). 12.79/3.31 12.79/3.31 fof(f62,plain,( 12.79/3.31 ! [X0,X1] : (((! [X2,X3] : (((in(X2,X0) & X2 = X3) | ~in(ordered_pair(X2,X3),X1)) & (in(ordered_pair(X2,X3),X1) | ~in(X2,X0) | X2 != X3)) | identity_relation(X0) != X1) & (identity_relation(X0) = X1 | ? [X4,X5] : ((~in(ordered_pair(X4,X5),X1) | ~in(X4,X0) | X4 != X5) & (in(ordered_pair(X4,X5),X1) | (in(X4,X0) & X4 = X5))))) | ~relation(X1))), 12.79/3.31 inference(rectify,[],[f61])). 12.79/3.31 12.79/3.31 fof(f63,plain,( 12.79/3.31 ! [X0,X1] : (? [X4,X5] : ((~in(ordered_pair(X4,X5),X1) | ~in(X4,X0) | X4 != X5) & (in(ordered_pair(X4,X5),X1) | (in(X4,X0) & X4 = X5))) => ((~in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X1) | ~in(sK7(X0,X1),X0) | sK7(X0,X1) != sK8(X0,X1)) & (in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X1) | (in(sK7(X0,X1),X0) & sK7(X0,X1) = sK8(X0,X1)))))), 12.79/3.31 introduced(choice_axiom,[])). 12.79/3.31 12.79/3.31 fof(f64,plain,( 12.79/3.31 ! [X0,X1] : (((! [X2,X3] : (((in(X2,X0) & X2 = X3) | ~in(ordered_pair(X2,X3),X1)) & (in(ordered_pair(X2,X3),X1) | ~in(X2,X0) | X2 != X3)) | identity_relation(X0) != X1) & (identity_relation(X0) = X1 | ((~in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X1) | ~in(sK7(X0,X1),X0) | sK7(X0,X1) != sK8(X0,X1)) & (in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X1) | (in(sK7(X0,X1),X0) & sK7(X0,X1) = sK8(X0,X1)))))) | ~relation(X1))), 12.79/3.31 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f62,f63])). 12.79/3.31 12.79/3.31 fof(f97,plain,( 12.79/3.31 ( ! [X2,X0,X3,X1] : (in(ordered_pair(X2,X3),X1) | ~in(X2,X0) | X2 != X3 | identity_relation(X0) != X1 | ~relation(X1)) )), 12.79/3.31 inference(cnf_transformation,[],[f64])). 12.79/3.31 12.79/3.31 fof(f124,plain,( 12.79/3.31 ( ! [X2,X0,X3,X1] : (in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1) | ~in(X2,X0) | X2 != X3 | identity_relation(X0) != X1 | ~relation(X1)) )), 12.79/3.31 inference(definition_unfolding,[],[f97,f79])). 12.79/3.31 12.79/3.31 fof(f137,plain,( 12.79/3.31 ( ! [X0,X3,X1] : (in(unordered_pair(unordered_pair(X3,X3),singleton(X3)),X1) | ~in(X3,X0) | identity_relation(X0) != X1 | ~relation(X1)) )), 12.79/3.31 inference(equality_resolution,[],[f124])). 12.79/3.31 12.79/3.31 fof(f138,plain,( 12.79/3.31 ( ! [X0,X3] : (in(unordered_pair(unordered_pair(X3,X3),singleton(X3)),identity_relation(X0)) | ~in(X3,X0) | ~relation(identity_relation(X0))) )), 12.79/3.31 inference(equality_resolution,[],[f137])). 12.79/3.31 12.79/3.31 fof(f2,axiom,( 12.79/3.31 ! [X0] : relation(identity_relation(X0))), 12.79/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1)). 12.79/3.31 12.79/3.31 fof(f75,plain,( 12.79/3.31 ( ! [X0] : (relation(identity_relation(X0))) )), 12.79/3.31 inference(cnf_transformation,[],[f2])). 12.79/3.31 12.79/3.31 fof(f22,axiom,( 12.79/3.31 ! [X0] : (relation(X0) => ! [X1] : (relation(X1) => ! [X2] : (relation(X2) => (relation_composition(X0,X1) = X2 <=> ! [X3,X4] : (? [X5] : (in(ordered_pair(X5,X4),X1) & in(ordered_pair(X3,X5),X0)) <=> in(ordered_pair(X3,X4),X2))))))), 12.79/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_1)). 12.79/3.31 12.79/3.31 fof(f45,plain,( 12.79/3.31 ! [X0] : (! [X1] : (! [X2] : ((relation_composition(X0,X1) = X2 <=> ! [X3,X4] : (? [X5] : (in(ordered_pair(X5,X4),X1) & in(ordered_pair(X3,X5),X0)) <=> in(ordered_pair(X3,X4),X2))) | ~relation(X2)) | ~relation(X1)) | ~relation(X0))), 12.79/3.31 inference(ennf_transformation,[],[f22])). 12.79/3.31 12.79/3.31 fof(f65,plain,( 12.79/3.31 ! [X0] : (! [X1] : (! [X2] : (((relation_composition(X0,X1) = X2 | ? [X3,X4] : ((~in(ordered_pair(X3,X4),X2) | ! [X5] : (~in(ordered_pair(X5,X4),X1) | ~in(ordered_pair(X3,X5),X0))) & (in(ordered_pair(X3,X4),X2) | ? [X5] : (in(ordered_pair(X5,X4),X1) & in(ordered_pair(X3,X5),X0))))) & (! [X3,X4] : ((? [X5] : (in(ordered_pair(X5,X4),X1) & in(ordered_pair(X3,X5),X0)) | ~in(ordered_pair(X3,X4),X2)) & (in(ordered_pair(X3,X4),X2) | ! [X5] : (~in(ordered_pair(X5,X4),X1) | ~in(ordered_pair(X3,X5),X0)))) | relation_composition(X0,X1) != X2)) | ~relation(X2)) | ~relation(X1)) | ~relation(X0))), 12.79/3.31 inference(nnf_transformation,[],[f45])). 12.79/3.31 12.79/3.31 fof(f66,plain,( 12.79/3.31 ! [X0] : (! [X1] : (! [X2] : (((relation_composition(X0,X1) = X2 | ? [X3,X4] : ((~in(ordered_pair(X3,X4),X2) | ! [X5] : (~in(ordered_pair(X5,X4),X1) | ~in(ordered_pair(X3,X5),X0))) & (in(ordered_pair(X3,X4),X2) | ? [X6] : (in(ordered_pair(X6,X4),X1) & in(ordered_pair(X3,X6),X0))))) & (! [X7,X8] : ((? [X9] : (in(ordered_pair(X9,X8),X1) & in(ordered_pair(X7,X9),X0)) | ~in(ordered_pair(X7,X8),X2)) & (in(ordered_pair(X7,X8),X2) | ! [X10] : (~in(ordered_pair(X10,X8),X1) | ~in(ordered_pair(X7,X10),X0)))) | relation_composition(X0,X1) != X2)) | ~relation(X2)) | ~relation(X1)) | ~relation(X0))), 12.79/3.31 inference(rectify,[],[f65])). 12.79/3.31 12.79/3.31 fof(f69,plain,( 12.79/3.31 ! [X0,X1,X7,X8] : (? [X9] : (in(ordered_pair(X9,X8),X1) & in(ordered_pair(X7,X9),X0)) => (in(ordered_pair(sK12(X0,X1,X7,X8),X8),X1) & in(ordered_pair(X7,sK12(X0,X1,X7,X8)),X0)))), 12.79/3.31 introduced(choice_axiom,[])). 12.79/3.31 12.79/3.31 fof(f68,plain,( 12.79/3.31 ! [X0,X1,X2] : (? [X6] : (in(ordered_pair(X6,sK10(X0,X1,X2)),X1) & in(ordered_pair(sK9(X0,X1,X2),X6),X0)) => (in(ordered_pair(sK11(X0,X1,X2),sK10(X0,X1,X2)),X1) & in(ordered_pair(sK9(X0,X1,X2),sK11(X0,X1,X2)),X0)))), 12.79/3.31 introduced(choice_axiom,[])). 12.79/3.31 12.79/3.31 fof(f67,plain,( 12.79/3.31 ! [X0,X1,X2] : (? [X3,X4] : ((~in(ordered_pair(X3,X4),X2) | ! [X5] : (~in(ordered_pair(X5,X4),X1) | ~in(ordered_pair(X3,X5),X0))) & (in(ordered_pair(X3,X4),X2) | ? [X6] : (in(ordered_pair(X6,X4),X1) & in(ordered_pair(X3,X6),X0)))) => ((~in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X2) | ! [X5] : (~in(ordered_pair(X5,sK10(X0,X1,X2)),X1) | ~in(ordered_pair(sK9(X0,X1,X2),X5),X0))) & (in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X2) | ? [X6] : (in(ordered_pair(X6,sK10(X0,X1,X2)),X1) & in(ordered_pair(sK9(X0,X1,X2),X6),X0)))))), 12.79/3.31 introduced(choice_axiom,[])). 12.79/3.31 12.79/3.31 fof(f70,plain,( 12.79/3.31 ! [X0] : (! [X1] : (! [X2] : (((relation_composition(X0,X1) = X2 | ((~in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X2) | ! [X5] : (~in(ordered_pair(X5,sK10(X0,X1,X2)),X1) | ~in(ordered_pair(sK9(X0,X1,X2),X5),X0))) & (in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X2) | (in(ordered_pair(sK11(X0,X1,X2),sK10(X0,X1,X2)),X1) & in(ordered_pair(sK9(X0,X1,X2),sK11(X0,X1,X2)),X0))))) & (! [X7,X8] : (((in(ordered_pair(sK12(X0,X1,X7,X8),X8),X1) & in(ordered_pair(X7,sK12(X0,X1,X7,X8)),X0)) | ~in(ordered_pair(X7,X8),X2)) & (in(ordered_pair(X7,X8),X2) | ! [X10] : (~in(ordered_pair(X10,X8),X1) | ~in(ordered_pair(X7,X10),X0)))) | relation_composition(X0,X1) != X2)) | ~relation(X2)) | ~relation(X1)) | ~relation(X0))), 12.79/3.31 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f66,f69,f68,f67])). 12.79/3.31 12.79/3.31 fof(f104,plain,( 12.79/3.31 ( ! [X2,X0,X10,X8,X7,X1] : (in(ordered_pair(X7,X8),X2) | ~in(ordered_pair(X10,X8),X1) | ~in(ordered_pair(X7,X10),X0) | relation_composition(X0,X1) != X2 | ~relation(X2) | ~relation(X1) | ~relation(X0)) )), 12.79/3.31 inference(cnf_transformation,[],[f70])). 12.79/3.31 12.79/3.31 fof(f134,plain,( 12.79/3.31 ( ! [X2,X0,X10,X8,X7,X1] : (in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2) | ~in(unordered_pair(unordered_pair(X10,X8),singleton(X10)),X1) | ~in(unordered_pair(unordered_pair(X7,X10),singleton(X7)),X0) | relation_composition(X0,X1) != X2 | ~relation(X2) | ~relation(X1) | ~relation(X0)) )), 12.79/3.31 inference(definition_unfolding,[],[f104,f79,f79,f79])). 12.79/3.31 12.79/3.31 fof(f141,plain,( 12.79/3.31 ( ! [X0,X10,X8,X7,X1] : (in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1)) | ~in(unordered_pair(unordered_pair(X10,X8),singleton(X10)),X1) | ~in(unordered_pair(unordered_pair(X7,X10),singleton(X7)),X0) | ~relation(relation_composition(X0,X1)) | ~relation(X1) | ~relation(X0)) )), 12.79/3.31 inference(equality_resolution,[],[f134])). 12.79/3.31 12.79/3.31 fof(f23,axiom,( 12.79/3.31 ! [X0,X1] : ((relation(X1) & relation(X0)) => relation(relation_composition(X0,X1)))), 12.79/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1)). 12.79/3.31 12.79/3.31 fof(f46,plain,( 12.79/3.31 ! [X0,X1] : (relation(relation_composition(X0,X1)) | (~relation(X1) | ~relation(X0)))), 12.79/3.31 inference(ennf_transformation,[],[f23])). 12.79/3.31 12.79/3.31 fof(f47,plain,( 12.79/3.31 ! [X0,X1] : (relation(relation_composition(X0,X1)) | ~relation(X1) | ~relation(X0))), 12.79/3.31 inference(flattening,[],[f46])). 12.79/3.31 12.79/3.31 fof(f110,plain,( 12.79/3.31 ( ! [X0,X1] : (relation(relation_composition(X0,X1)) | ~relation(X1) | ~relation(X0)) )), 12.79/3.31 inference(cnf_transformation,[],[f47])). 12.79/3.31 12.79/3.31 fof(f93,plain,( 12.79/3.31 ~in(ordered_pair(sK3,sK4),relation_composition(identity_relation(sK5),sK6)) | ~in(ordered_pair(sK3,sK4),sK6) | ~in(sK3,sK5)), 12.79/3.31 inference(cnf_transformation,[],[f59])). 12.79/3.31 12.79/3.31 fof(f119,plain,( 12.79/3.31 ~in(unordered_pair(unordered_pair(sK3,sK4),singleton(sK3)),relation_composition(identity_relation(sK5),sK6)) | ~in(unordered_pair(unordered_pair(sK3,sK4),singleton(sK3)),sK6) | ~in(sK3,sK5)), 12.79/3.31 inference(definition_unfolding,[],[f93,f79,f79])). 12.79/3.31 12.79/3.31 fof(f20,axiom,( 12.79/3.31 ! [X0,X1] : ((relation(X1) & empty(X0)) => (relation(relation_composition(X0,X1)) & empty(relation_composition(X0,X1))))), 12.79/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_relat_1)). 12.79/3.31 12.79/3.31 fof(f41,plain,( 12.79/3.31 ! [X0,X1] : ((relation(relation_composition(X0,X1)) & empty(relation_composition(X0,X1))) | (~relation(X1) | ~empty(X0)))), 12.79/3.31 inference(ennf_transformation,[],[f20])). 12.79/3.31 12.79/3.31 fof(f42,plain,( 12.79/3.31 ! [X0,X1] : ((relation(relation_composition(X0,X1)) & empty(relation_composition(X0,X1))) | ~relation(X1) | ~empty(X0))), 12.79/3.31 inference(flattening,[],[f41])). 12.79/3.31 12.79/3.31 fof(f101,plain,( 12.79/3.31 ( ! [X0,X1] : (empty(relation_composition(X0,X1)) | ~relation(X1) | ~empty(X0)) )), 12.79/3.31 inference(cnf_transformation,[],[f42])). 12.79/3.31 12.79/3.31 fof(f91,plain,( 12.79/3.31 in(ordered_pair(sK3,sK4),relation_composition(identity_relation(sK5),sK6)) | in(sK3,sK5)), 12.79/3.31 inference(cnf_transformation,[],[f59])). 12.79/3.31 12.79/3.31 fof(f121,plain,( 12.79/3.31 in(unordered_pair(unordered_pair(sK3,sK4),singleton(sK3)),relation_composition(identity_relation(sK5),sK6)) | in(sK3,sK5)), 12.79/3.31 inference(definition_unfolding,[],[f91,f79])). 12.79/3.31 12.79/3.31 fof(f30,axiom,( 12.79/3.31 ! [X0,X1] : ~(in(X0,X1) & empty(X1))), 12.79/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole)). 12.79/3.31 12.79/3.31 fof(f49,plain,( 12.79/3.31 ! [X0,X1] : (~in(X0,X1) | ~empty(X1))), 12.79/3.31 inference(ennf_transformation,[],[f30])). 12.79/3.31 12.79/3.31 fof(f116,plain,( 12.79/3.31 ( ! [X0,X1] : (~in(X0,X1) | ~empty(X1)) )), 12.79/3.31 inference(cnf_transformation,[],[f49])). 12.79/3.31 12.79/3.31 fof(f90,plain,( 12.79/3.31 relation(sK6)), 12.79/3.31 inference(cnf_transformation,[],[f59])). 12.79/3.31 12.79/3.31 fof(f105,plain,( 12.79/3.31 ( ! [X2,X0,X8,X7,X1] : (in(ordered_pair(X7,sK12(X0,X1,X7,X8)),X0) | ~in(ordered_pair(X7,X8),X2) | relation_composition(X0,X1) != X2 | ~relation(X2) | ~relation(X1) | ~relation(X0)) )), 12.79/3.31 inference(cnf_transformation,[],[f70])). 12.79/3.31 12.79/3.31 fof(f133,plain,( 12.79/3.31 ( ! [X2,X0,X8,X7,X1] : (in(unordered_pair(unordered_pair(X7,sK12(X0,X1,X7,X8)),singleton(X7)),X0) | ~in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2) | relation_composition(X0,X1) != X2 | ~relation(X2) | ~relation(X1) | ~relation(X0)) )), 12.79/3.31 inference(definition_unfolding,[],[f105,f79,f79])). 12.79/3.31 12.79/3.31 fof(f140,plain,( 12.79/3.31 ( ! [X0,X8,X7,X1] : (in(unordered_pair(unordered_pair(X7,sK12(X0,X1,X7,X8)),singleton(X7)),X0) | ~in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1)) | ~relation(relation_composition(X0,X1)) | ~relation(X1) | ~relation(X0)) )), 12.79/3.31 inference(equality_resolution,[],[f133])). 12.79/3.31 12.79/3.31 fof(f99,plain,( 12.79/3.31 ( ! [X2,X0,X3,X1] : (in(X2,X0) | ~in(ordered_pair(X2,X3),X1) | identity_relation(X0) != X1 | ~relation(X1)) )), 12.79/3.31 inference(cnf_transformation,[],[f64])). 12.79/3.31 12.79/3.31 fof(f122,plain,( 12.79/3.31 ( ! [X2,X0,X3,X1] : (in(X2,X0) | ~in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1) | identity_relation(X0) != X1 | ~relation(X1)) )), 12.79/3.31 inference(definition_unfolding,[],[f99,f79])). 12.79/3.31 12.79/3.31 fof(f135,plain,( 12.79/3.31 ( ! [X2,X0,X3] : (in(X2,X0) | ~in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),identity_relation(X0)) | ~relation(identity_relation(X0))) )), 12.79/3.31 inference(equality_resolution,[],[f122])). 12.79/3.31 12.79/3.31 fof(f98,plain,( 12.79/3.31 ( ! [X2,X0,X3,X1] : (X2 = X3 | ~in(ordered_pair(X2,X3),X1) | identity_relation(X0) != X1 | ~relation(X1)) )), 12.79/3.31 inference(cnf_transformation,[],[f64])). 12.79/3.31 12.79/3.31 fof(f123,plain,( 12.79/3.31 ( ! [X2,X0,X3,X1] : (X2 = X3 | ~in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1) | identity_relation(X0) != X1 | ~relation(X1)) )), 12.79/3.31 inference(definition_unfolding,[],[f98,f79])). 12.79/3.31 12.79/3.31 fof(f136,plain,( 12.79/3.31 ( ! [X2,X0,X3] : (X2 = X3 | ~in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),identity_relation(X0)) | ~relation(identity_relation(X0))) )), 12.79/3.31 inference(equality_resolution,[],[f123])). 12.79/3.31 12.79/3.31 fof(f106,plain,( 12.79/3.31 ( ! [X2,X0,X8,X7,X1] : (in(ordered_pair(sK12(X0,X1,X7,X8),X8),X1) | ~in(ordered_pair(X7,X8),X2) | relation_composition(X0,X1) != X2 | ~relation(X2) | ~relation(X1) | ~relation(X0)) )), 12.79/3.31 inference(cnf_transformation,[],[f70])). 12.79/3.31 12.79/3.31 fof(f132,plain,( 12.79/3.31 ( ! [X2,X0,X8,X7,X1] : (in(unordered_pair(unordered_pair(sK12(X0,X1,X7,X8),X8),singleton(sK12(X0,X1,X7,X8))),X1) | ~in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2) | relation_composition(X0,X1) != X2 | ~relation(X2) | ~relation(X1) | ~relation(X0)) )), 12.79/3.31 inference(definition_unfolding,[],[f106,f79,f79])). 12.79/3.31 12.79/3.31 fof(f139,plain,( 12.79/3.31 ( ! [X0,X8,X7,X1] : (in(unordered_pair(unordered_pair(sK12(X0,X1,X7,X8),X8),singleton(sK12(X0,X1,X7,X8))),X1) | ~in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1)) | ~relation(relation_composition(X0,X1)) | ~relation(X1) | ~relation(X0)) )), 12.79/3.31 inference(equality_resolution,[],[f132])). 12.79/3.31 12.79/3.31 cnf(c_64,negated_conjecture, 12.79/3.31 ( in(unordered_pair(unordered_pair(sK3,sK4),singleton(sK3)),relation_composition(identity_relation(sK5),sK6)) 12.79/3.31 | in(unordered_pair(unordered_pair(sK3,sK4),singleton(sK3)),sK6) ), 12.79/3.31 inference(cnf_transformation,[],[f120]) ). 12.79/3.31 12.79/3.31 cnf(c_85,plain, 12.79/3.31 ( unordered_pair(X0,X1) = unordered_pair(X1,X0) ), 12.79/3.31 inference(cnf_transformation,[],[f112]) ). 12.79/3.31 12.79/3.31 cnf(c_416,plain, 12.79/3.31 ( in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),relation_composition(identity_relation(sK5),sK6)) 12.79/3.31 | in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),sK6) ), 12.79/3.31 inference(demodulation,[status(thm)],[c_64,c_85]) ). 12.79/3.31 12.79/3.31 cnf(c_69,plain, 12.79/3.31 ( ~ in(X0,X1) 12.79/3.31 | ~ relation(identity_relation(X1)) 12.79/3.31 | in(unordered_pair(unordered_pair(X0,X0),singleton(X0)),identity_relation(X1)) ), 12.79/3.31 inference(cnf_transformation,[],[f138]) ). 12.79/3.31 12.79/3.31 cnf(c_49,plain, 12.79/3.31 ( relation(identity_relation(X0)) ), 12.79/3.31 inference(cnf_transformation,[],[f75]) ). 12.79/3.31 12.79/3.31 cnf(c_136,plain, 12.79/3.31 ( ~ in(X0,X1) 12.79/3.31 | in(unordered_pair(unordered_pair(X0,X0),singleton(X0)),identity_relation(X1)) ), 12.79/3.31 inference(backward_subsumption_resolution,[status(thm)],[c_69,c_49]) ). 12.79/3.31 12.79/3.31 cnf(c_396,plain, 12.79/3.31 ( ~ in(X0,X1) 12.79/3.31 | in(unordered_pair(singleton(X0),unordered_pair(X0,X0)),identity_relation(X1)) ), 12.79/3.31 inference(demodulation,[status(thm)],[c_136,c_85]) ). 12.79/3.31 12.79/3.31 cnf(c_82,plain, 12.79/3.31 ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) 12.79/3.31 | ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X4) 12.79/3.31 | ~ relation(relation_composition(X2,X4)) 12.79/3.31 | ~ relation(X2) 12.79/3.31 | ~ relation(X4) 12.79/3.31 | in(unordered_pair(unordered_pair(X0,X3),singleton(X0)),relation_composition(X2,X4)) ), 12.79/3.31 inference(cnf_transformation,[],[f141]) ). 12.79/3.31 12.79/3.31 cnf(c_83,plain, 12.79/3.31 ( ~ relation(X0) 12.79/3.31 | ~ relation(X1) 12.79/3.31 | relation(relation_composition(X0,X1)) ), 12.79/3.31 inference(cnf_transformation,[],[f110]) ). 12.79/3.31 12.79/3.31 cnf(c_230,plain, 12.79/3.31 ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) 12.79/3.31 | ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X4) 12.79/3.31 | ~ relation(X2) 12.79/3.31 | ~ relation(X4) 12.79/3.31 | in(unordered_pair(unordered_pair(X0,X3),singleton(X0)),relation_composition(X2,X4)) ), 12.79/3.31 inference(backward_subsumption_resolution,[status(thm)],[c_82,c_83]) ). 12.79/3.31 12.79/3.31 cnf(c_464,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2) 12.79/3.31 | ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X4) 12.79/3.31 | ~ relation(X2) 12.79/3.31 | ~ relation(X4) 12.79/3.31 | in(unordered_pair(singleton(X0),unordered_pair(X0,X3)),relation_composition(X2,X4)) ), 12.79/3.31 inference(demodulation,[status(thm)],[c_230,c_85]) ). 12.79/3.31 12.79/3.31 cnf(c_3544,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2) 12.79/3.31 | ~ in(X0,X3) 12.79/3.31 | ~ relation(identity_relation(X3)) 12.79/3.31 | ~ relation(X2) 12.79/3.31 | in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_composition(identity_relation(X3),X2)) ), 12.79/3.31 inference(superposition,[status(thm)],[c_396,c_464]) ). 12.79/3.31 12.79/3.31 cnf(c_3545,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2) 12.79/3.31 | ~ in(X0,X3) 12.79/3.31 | ~ relation(X2) 12.79/3.31 | in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_composition(identity_relation(X3),X2)) ), 12.79/3.31 inference(forward_subsumption_resolution,[status(thm)],[c_3544,c_49]) ). 12.79/3.31 12.79/3.31 cnf(c_63,negated_conjecture, 12.79/3.31 ( ~ in(unordered_pair(unordered_pair(sK3,sK4),singleton(sK3)),relation_composition(identity_relation(sK5),sK6)) 12.79/3.31 | ~ in(unordered_pair(unordered_pair(sK3,sK4),singleton(sK3)),sK6) 12.79/3.31 | ~ in(sK3,sK5) ), 12.79/3.31 inference(cnf_transformation,[],[f119]) ). 12.79/3.31 12.79/3.31 cnf(c_421,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),relation_composition(identity_relation(sK5),sK6)) 12.79/3.31 | ~ in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),sK6) 12.79/3.31 | ~ in(sK3,sK5) ), 12.79/3.31 inference(demodulation,[status(thm)],[c_63,c_85]) ). 12.79/3.31 12.79/3.31 cnf(c_75,plain, 12.79/3.31 ( ~ relation(X0) | ~ empty(X1) | empty(relation_composition(X1,X0)) ), 12.79/3.31 inference(cnf_transformation,[],[f101]) ). 12.79/3.31 12.79/3.31 cnf(c_65,negated_conjecture, 12.79/3.31 ( in(unordered_pair(unordered_pair(sK3,sK4),singleton(sK3)),relation_composition(identity_relation(sK5),sK6)) 12.79/3.31 | in(sK3,sK5) ), 12.79/3.31 inference(cnf_transformation,[],[f121]) ). 12.79/3.31 12.79/3.31 cnf(c_411,plain, 12.79/3.31 ( in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),relation_composition(identity_relation(sK5),sK6)) 12.79/3.31 | in(sK3,sK5) ), 12.79/3.31 inference(demodulation,[status(thm)],[c_65,c_85]) ). 12.79/3.31 12.79/3.31 cnf(c_89,plain, 12.79/3.31 ( ~ in(X0,X1) | ~ empty(X1) ), 12.79/3.31 inference(cnf_transformation,[],[f116]) ). 12.79/3.31 12.79/3.31 cnf(c_2739,plain, 12.79/3.31 ( ~ empty(relation_composition(identity_relation(sK5),sK6)) 12.79/3.31 | in(sK3,sK5) ), 12.79/3.31 inference(superposition,[status(thm)],[c_411,c_89]) ). 12.79/3.31 12.79/3.31 cnf(c_3180,plain, 12.79/3.31 ( ~ empty(identity_relation(sK5)) | ~ relation(sK6) | in(sK3,sK5) ), 12.79/3.31 inference(superposition,[status(thm)],[c_75,c_2739]) ). 12.79/3.31 12.79/3.31 cnf(c_66,negated_conjecture, 12.79/3.31 ( relation(sK6) ), 12.79/3.31 inference(cnf_transformation,[],[f90]) ). 12.79/3.31 12.79/3.31 cnf(c_3181,plain, 12.79/3.31 ( ~ empty(identity_relation(sK5)) | in(sK3,sK5) ), 12.79/3.31 inference(forward_subsumption_resolution,[status(thm)],[c_3180,c_66]) ). 12.79/3.31 12.79/3.31 cnf(c_81,plain, 12.79/3.31 ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_composition(X2,X3)) 12.79/3.31 | ~ relation(relation_composition(X2,X3)) 12.79/3.31 | ~ relation(X2) 12.79/3.31 | ~ relation(X3) 12.79/3.31 | in(unordered_pair(unordered_pair(X0,sK12(X2,X3,X0,X1)),singleton(X0)),X2) ), 12.79/3.31 inference(cnf_transformation,[],[f140]) ). 12.79/3.31 12.79/3.31 cnf(c_228,plain, 12.79/3.31 ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_composition(X2,X3)) 12.79/3.31 | ~ relation(X2) 12.79/3.31 | ~ relation(X3) 12.79/3.31 | in(unordered_pair(unordered_pair(X0,sK12(X2,X3,X0,X1)),singleton(X0)),X2) ), 12.79/3.31 inference(backward_subsumption_resolution,[status(thm)],[c_81,c_83]) ). 12.79/3.31 12.79/3.31 cnf(c_437,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_composition(X2,X3)) 12.79/3.31 | ~ relation(X2) 12.79/3.31 | ~ relation(X3) 12.79/3.31 | in(unordered_pair(singleton(X0),unordered_pair(X0,sK12(X2,X3,X0,X1))),X2) ), 12.79/3.31 inference(demodulation,[status(thm)],[c_228,c_85]) ). 12.79/3.31 12.79/3.31 cnf(c_2025,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),relation_composition(identity_relation(sK5),sK6)) 12.79/3.31 | ~ relation(identity_relation(sK5)) 12.79/3.31 | ~ relation(sK6) 12.79/3.31 | in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK12(identity_relation(sK5),sK6,sK3,sK4))),identity_relation(sK5)) ), 12.79/3.31 inference(instantiation,[status(thm)],[c_437]) ). 12.79/3.31 12.79/3.31 cnf(c_67,plain, 12.79/3.31 ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),identity_relation(X2)) 12.79/3.31 | ~ relation(identity_relation(X2)) 12.79/3.31 | in(X0,X2) ), 12.79/3.31 inference(cnf_transformation,[],[f135]) ). 12.79/3.31 12.79/3.31 cnf(c_135,plain, 12.79/3.31 ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),identity_relation(X2)) 12.79/3.31 | in(X0,X2) ), 12.79/3.31 inference(backward_subsumption_resolution,[status(thm)],[c_67,c_49]) ). 12.79/3.31 12.79/3.31 cnf(c_401,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),identity_relation(X2)) 12.79/3.31 | in(X0,X2) ), 12.79/3.31 inference(demodulation,[status(thm)],[c_135,c_85]) ). 12.79/3.31 12.79/3.31 cnf(c_2233,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK12(identity_relation(sK5),sK6,sK3,sK4))),identity_relation(sK5)) 12.79/3.31 | in(sK3,sK5) ), 12.79/3.31 inference(instantiation,[status(thm)],[c_401]) ). 12.79/3.31 12.79/3.31 cnf(c_3216,plain, 12.79/3.31 ( relation(identity_relation(sK5)) ), 12.79/3.31 inference(instantiation,[status(thm)],[c_49]) ). 12.79/3.31 12.79/3.31 cnf(c_3224,plain, 12.79/3.31 ( in(sK3,sK5) ), 12.79/3.31 inference(global_propositional_subsumption, 12.79/3.31 [status(thm)], 12.79/3.31 [c_3181,c_66,c_411,c_2025,c_2233,c_3216]) ). 12.79/3.31 12.79/3.31 cnf(c_3226,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),relation_composition(identity_relation(sK5),sK6)) 12.79/3.31 | ~ in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),sK6) ), 12.79/3.31 inference(backward_subsumption_resolution,[status(thm)],[c_421,c_3224]) ). 12.79/3.31 12.79/3.31 cnf(c_16940,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),sK6) 12.79/3.31 | ~ in(sK3,sK5) 12.79/3.31 | ~ relation(sK6) ), 12.79/3.31 inference(superposition,[status(thm)],[c_3545,c_3226]) ). 12.79/3.31 12.79/3.31 cnf(c_16976,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),sK6) ), 12.79/3.31 inference(forward_subsumption_resolution, 12.79/3.31 [status(thm)], 12.79/3.31 [c_16940,c_66,c_3224]) ). 12.79/3.31 12.79/3.31 cnf(c_21475,plain, 12.79/3.31 ( in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),relation_composition(identity_relation(sK5),sK6)) ), 12.79/3.31 inference(global_propositional_subsumption,[status(thm)],[c_416,c_16976]) ). 12.79/3.31 12.79/3.31 cnf(c_68,plain, 12.79/3.31 ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),identity_relation(X2)) 12.79/3.31 | ~ relation(identity_relation(X2)) 12.79/3.31 | X0 = X1 ), 12.79/3.31 inference(cnf_transformation,[],[f136]) ). 12.79/3.31 12.79/3.31 cnf(c_137,plain, 12.79/3.31 ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),identity_relation(X2)) 12.79/3.31 | X0 = X1 ), 12.79/3.31 inference(backward_subsumption_resolution,[status(thm)],[c_68,c_49]) ). 12.79/3.31 12.79/3.31 cnf(c_406,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),identity_relation(X2)) 12.79/3.31 | X0 = X1 ), 12.79/3.31 inference(demodulation,[status(thm)],[c_137,c_85]) ). 12.79/3.31 12.79/3.31 cnf(c_22009,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_composition(identity_relation(X2),X3)) 12.79/3.31 | ~ relation(identity_relation(X2)) 12.79/3.31 | ~ relation(X3) 12.79/3.31 | sK12(identity_relation(X2),X3,X0,X1) = X0 ), 12.79/3.31 inference(superposition,[status(thm)],[c_437,c_406]) ). 12.79/3.31 12.79/3.31 cnf(c_22015,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_composition(identity_relation(X2),X3)) 12.79/3.31 | ~ relation(X3) 12.79/3.31 | sK12(identity_relation(X2),X3,X0,X1) = X0 ), 12.79/3.31 inference(forward_subsumption_resolution,[status(thm)],[c_22009,c_49]) ). 12.79/3.31 12.79/3.31 cnf(c_41545,plain, 12.79/3.31 ( ~ relation(sK6) | sK12(identity_relation(sK5),sK6,sK3,sK4) = sK3 ), 12.79/3.31 inference(superposition,[status(thm)],[c_21475,c_22015]) ). 12.79/3.31 12.79/3.31 cnf(c_41599,plain, 12.79/3.31 ( sK12(identity_relation(sK5),sK6,sK3,sK4) = sK3 ), 12.79/3.31 inference(forward_subsumption_resolution,[status(thm)],[c_41545,c_66]) ). 12.79/3.31 12.79/3.31 cnf(c_80,plain, 12.79/3.31 ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_composition(X2,X3)) 12.79/3.31 | ~ relation(relation_composition(X2,X3)) 12.79/3.31 | ~ relation(X2) 12.79/3.31 | ~ relation(X3) 12.79/3.31 | in(unordered_pair(unordered_pair(sK12(X2,X3,X0,X1),X1),singleton(sK12(X2,X3,X0,X1))),X3) ), 12.79/3.31 inference(cnf_transformation,[],[f139]) ). 12.79/3.31 12.79/3.31 cnf(c_229,plain, 12.79/3.31 ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_composition(X2,X3)) 12.79/3.31 | ~ relation(X2) 12.79/3.31 | ~ relation(X3) 12.79/3.31 | in(unordered_pair(unordered_pair(sK12(X2,X3,X0,X1),X1),singleton(sK12(X2,X3,X0,X1))),X3) ), 12.79/3.31 inference(backward_subsumption_resolution,[status(thm)],[c_80,c_83]) ). 12.79/3.31 12.79/3.31 cnf(c_455,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),relation_composition(X2,X3)) 12.79/3.31 | ~ relation(X2) 12.79/3.31 | ~ relation(X3) 12.79/3.31 | in(unordered_pair(singleton(sK12(X2,X3,X0,X1)),unordered_pair(X1,sK12(X2,X3,X0,X1))),X3) ), 12.79/3.31 inference(demodulation,[status(thm)],[c_229,c_85]) ). 12.79/3.31 12.79/3.31 cnf(c_42114,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),relation_composition(identity_relation(sK5),sK6)) 12.79/3.31 | ~ relation(identity_relation(sK5)) 12.79/3.31 | ~ relation(sK6) 12.79/3.31 | in(unordered_pair(singleton(sK3),unordered_pair(sK4,sK3)),sK6) ), 12.79/3.31 inference(superposition,[status(thm)],[c_41599,c_455]) ). 12.79/3.31 12.79/3.31 cnf(c_42121,plain, 12.79/3.31 ( in(unordered_pair(singleton(sK3),unordered_pair(sK4,sK3)),sK6) ), 12.79/3.31 inference(forward_subsumption_resolution, 12.79/3.31 [status(thm)], 12.79/3.31 [c_42114,c_66,c_49,c_21475]) ). 12.79/3.31 12.79/3.31 cnf(c_42194,plain, 12.79/3.31 ( in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),sK6) ), 12.79/3.31 inference(demodulation,[status(thm)],[c_42121,c_85]) ). 12.79/3.31 12.79/3.31 cnf(c_21477,plain, 12.79/3.31 ( ~ in(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),sK6) ), 12.79/3.31 inference(global_propositional_subsumption,[status(thm)],[c_421,c_16976]) ). 12.79/3.31 12.79/3.31 cnf(c_42195,plain, 12.79/3.31 ( $false ), 12.79/3.31 inference(forward_subsumption_resolution,[status(thm)],[c_42194,c_21477]) ). 12.79/3.31 12.79/3.31 12.79/3.31 % SZS output end CNFRefutation for theBenchmark.p 12.79/3.31 12.79/3.31 ------ Statistics 12.79/3.31 12.79/3.31 ------ Selected 12.79/3.31 12.79/3.31 total_time: 1.64 12.79/3.31 12.79/3.34 EOF