0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.14 % Command : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 --problem_version fof /export/starexec/sandbox/benchmark/theBenchmark.p 120 --prover /export/starexec/sandbox/solver/bin/res/iproveropt_no_z3 0.13/0.34 % Computer : n003.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 05:34:06 EDT 2022 0.13/0.34 % CPUTime : 268.50/36.02 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p 268.50/36.02 268.50/36.02 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 268.50/36.02 268.50/36.02 ------ iProver source info 268.50/36.02 268.50/36.02 git: date: 2022-07-26 19:47:37 +0300 268.50/36.02 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 268.50/36.02 git: non_committed_changes: false 268.50/36.02 git: last_make_outside_of_git: false 268.50/36.02 268.50/36.02 ------ Parsing... 268.50/36.02 ------ Clausification by vclausify_rel & Parsing by iProver... 268.50/36.02 268.50/36.02 ------ Preprocessing... sup_sim: 16 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e 268.50/36.02 268.50/36.02 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 268.50/36.02 268.50/36.02 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 268.50/36.02 ------ Proving... 268.50/36.02 ------ Problem Properties 268.50/36.02 268.50/36.02 268.50/36.02 clauses 238 268.50/36.02 conjectures 3 268.50/36.02 EPR 144 268.50/36.02 Horn 168 268.50/36.02 unary 36 268.50/36.02 binary 88 268.50/36.02 lits 744 268.50/36.02 lits eq 160 268.50/36.02 fd_pure 0 268.50/36.02 fd_pseudo 0 268.50/36.02 fd_cond 0 268.50/36.02 fd_pseudo_cond 78 268.50/36.02 AC symbols 0 268.50/36.02 268.50/36.02 ------ Input Options Time Limit: Unbounded 268.50/36.02 268.50/36.02 268.50/36.02 ------ 268.50/36.02 Current options: 268.50/36.02 ------ 268.50/36.02 268.50/36.02 268.50/36.02 268.50/36.02 268.50/36.02 ------ Proving... 268.50/36.02 268.50/36.02 268.50/36.02 ------ Proving... 268.50/36.02 268.50/36.02 268.50/36.02 ------ Proving... 268.50/36.02 268.50/36.02 268.50/36.02 ------ Proving... 268.50/36.02 268.50/36.02 268.50/36.02 % SZS status Theorem for theBenchmark.p 268.50/36.02 268.50/36.02 % SZS output start CNFRefutation for theBenchmark.p 268.50/36.02 268.50/36.02 fof(f140,axiom,( 268.50/36.02 ! [X5,X16,X8] : (~s_m(X5,X16,X8) | s_m(X8,X16,X5))), 268.50/36.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_2)). 268.50/36.02 268.50/36.02 fof(f334,plain,( 268.50/36.02 ! [X0,X1,X2] : (~s_m(X0,X1,X2) | s_m(X2,X1,X0))), 268.50/36.02 inference(rectify,[],[f140])). 268.50/36.02 268.50/36.02 fof(f611,plain,( 268.50/36.02 ( ! [X2,X0,X1] : (~s_m(X0,X1,X2) | s_m(X2,X1,X0)) )), 268.50/36.02 inference(cnf_transformation,[],[f334])). 268.50/36.02 268.50/36.02 fof(f70,conjecture,( 268.50/36.02 ! [X5,X8,X6,X36] : (X5 = X8 | reflect(X5,X8,X36) = X6 | reflect(X5,X8,X6) != X36)), 268.50/36.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_4)). 268.50/36.02 268.50/36.02 fof(f71,negated_conjecture,( 268.50/36.02 ~! [X5,X8,X6,X36] : (X5 = X8 | reflect(X5,X8,X36) = X6 | reflect(X5,X8,X6) != X36)), 268.50/36.02 inference(negated_conjecture,[],[f70])). 268.50/36.02 268.50/36.02 fof(f267,plain,( 268.50/36.02 ~! [X0,X1,X2,X3] : (X0 = X1 | reflect(X0,X1,X3) = X2 | reflect(X0,X1,X2) != X3)), 268.50/36.02 inference(rectify,[],[f71])). 268.50/36.02 268.50/36.02 fof(f396,plain,( 268.50/36.02 ? [X0,X1,X2,X3] : (X0 != X1 & reflect(X0,X1,X3) != X2 & reflect(X0,X1,X2) = X3)), 268.50/36.02 inference(ennf_transformation,[],[f267])). 268.50/36.02 268.50/36.02 fof(f397,plain,( 268.50/36.02 ? [X0,X1,X2,X3] : (X0 != X1 & reflect(X0,X1,X3) != X2 & reflect(X0,X1,X2) = X3) => (sK0 != sK1 & sK2 != reflect(sK0,sK1,sK3) & sK3 = reflect(sK0,sK1,sK2))), 268.50/36.02 introduced(choice_axiom,[])). 268.50/36.02 268.50/36.02 fof(f398,plain,( 268.50/36.02 sK0 != sK1 & sK2 != reflect(sK0,sK1,sK3) & sK3 = reflect(sK0,sK1,sK2)), 268.50/36.02 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f396,f397])). 268.50/36.02 268.50/36.02 fof(f493,plain,( 268.50/36.02 sK0 != sK1), 268.50/36.02 inference(cnf_transformation,[],[f398])). 268.50/36.02 268.50/36.02 fof(f136,axiom,( 268.50/36.02 ! [X5,X8,X6,X36] : ((~s_col(X5,X8,midpoint(X6,X36)) | ~perp(X5,X8,X6,X36) | reflect(X5,X8,X6) = X36 | X5 = X8) & (X6 != X36 | reflect(X5,X8,X6) = X36 | ~s_col(X5,X8,midpoint(X6,X36)) | X5 = X8))), 268.50/36.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_2b)). 268.50/36.02 268.50/36.02 fof(f330,plain,( 268.50/36.02 ! [X0,X1,X2,X3] : ((~s_col(X0,X1,midpoint(X2,X3)) | ~perp(X0,X1,X2,X3) | reflect(X0,X1,X2) = X3 | X0 = X1) & (X2 != X3 | reflect(X0,X1,X2) = X3 | ~s_col(X0,X1,midpoint(X2,X3)) | X0 = X1))), 268.50/36.02 inference(rectify,[],[f136])). 268.50/36.02 268.50/36.02 fof(f607,plain,( 268.50/36.02 ( ! [X2,X0,X3,X1] : (~s_col(X0,X1,midpoint(X2,X3)) | ~perp(X0,X1,X2,X3) | reflect(X0,X1,X2) = X3 | X0 = X1) )), 268.50/36.02 inference(cnf_transformation,[],[f330])). 268.50/36.02 268.50/36.02 fof(f492,plain,( 268.50/36.02 sK2 != reflect(sK0,sK1,sK3)), 268.50/36.02 inference(cnf_transformation,[],[f398])). 268.50/36.02 268.50/36.02 fof(f170,axiom,( 268.50/36.02 ! [X5,X8,X6] : ((X5 = X8 | reflect(X5,X8,X6) = X6 | perp(X5,X8,X6,reflect(X5,X8,X6))) & (X5 = X8 | s_col(X5,X8,midpoint(X6,reflect(X5,X8,X6)))))), 268.50/36.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_2a)). 268.50/36.02 268.50/36.02 fof(f363,plain,( 268.50/36.02 ! [X0,X1,X2] : ((X0 = X1 | reflect(X0,X1,X2) = X2 | perp(X0,X1,X2,reflect(X0,X1,X2))) & (X0 = X1 | s_col(X0,X1,midpoint(X2,reflect(X0,X1,X2)))))), 268.50/36.02 inference(rectify,[],[f170])). 268.50/36.02 268.50/36.02 fof(f655,plain,( 268.50/36.02 ( ! [X2,X0,X1] : (X0 = X1 | s_col(X0,X1,midpoint(X2,reflect(X0,X1,X2)))) )), 268.50/36.02 inference(cnf_transformation,[],[f363])). 268.50/36.02 268.50/36.02 fof(f491,plain,( 268.50/36.02 sK3 = reflect(sK0,sK1,sK2)), 268.50/36.02 inference(cnf_transformation,[],[f398])). 268.50/36.02 268.50/36.02 fof(f656,plain,( 268.50/36.02 ( ! [X2,X0,X1] : (X0 = X1 | reflect(X0,X1,X2) = X2 | perp(X0,X1,X2,reflect(X0,X1,X2))) )), 268.50/36.02 inference(cnf_transformation,[],[f363])). 268.50/36.02 268.50/36.02 fof(f105,axiom,( 268.50/36.02 ! [X5,X8,X6,X9] : (perp(X6,X9,X5,X8) | ~perp(X5,X8,X6,X9))), 268.50/36.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_12b)). 268.50/36.02 268.50/36.02 fof(f300,plain,( 268.50/36.02 ! [X0,X1,X2,X3] : (perp(X2,X3,X0,X1) | ~perp(X0,X1,X2,X3))), 268.50/36.02 inference(rectify,[],[f105])). 268.50/36.02 268.50/36.02 fof(f563,plain,( 268.50/36.02 ( ! [X2,X0,X3,X1] : (perp(X2,X3,X0,X1) | ~perp(X0,X1,X2,X3)) )), 268.50/36.02 inference(cnf_transformation,[],[f300])). 268.50/36.02 268.50/36.02 fof(f50,axiom,( 268.50/36.02 ! [X5,X8,X6,X9,X7,X20] : (~s_col(X5,X8,X6) | ~s_col(X5,X8,X9) | ~perp(X5,X8,X7,X20) | perp(X6,X9,X7,X20) | X5 = X8 | X6 = X9)), 268.50/36.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp5)). 268.50/36.02 268.50/36.02 fof(f247,plain,( 268.50/36.02 ! [X0,X1,X2,X3,X4,X5] : (~s_col(X0,X1,X2) | ~s_col(X0,X1,X3) | ~perp(X0,X1,X4,X5) | perp(X2,X3,X4,X5) | X0 = X1 | X2 = X3)), 268.50/36.02 inference(rectify,[],[f50])). 268.50/36.02 268.50/36.02 fof(f465,plain,( 268.50/36.02 ( ! [X4,X2,X0,X5,X3,X1] : (~s_col(X0,X1,X2) | ~s_col(X0,X1,X3) | ~perp(X0,X1,X4,X5) | perp(X2,X3,X4,X5) | X0 = X1 | X2 = X3) )), 268.50/36.02 inference(cnf_transformation,[],[f247])). 268.50/36.02 268.50/36.02 fof(f109,axiom,( 268.50/36.02 ! [X5,X8,X6,X9,X7,X20] : (~s_col(X5,X8,X9) | perp(X5,X8,X7,X20) | ~perp(X6,X9,X7,X20) | X5 = X8 | X6 = X9 | ~s_col(X5,X8,X6))), 268.50/36.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp2)). 268.50/36.02 268.50/36.02 fof(f304,plain,( 268.50/36.02 ! [X0,X1,X2,X3,X4,X5] : (~s_col(X0,X1,X3) | perp(X0,X1,X4,X5) | ~perp(X2,X3,X4,X5) | X0 = X1 | X2 = X3 | ~s_col(X0,X1,X2))), 268.50/36.02 inference(rectify,[],[f109])). 268.50/36.02 268.50/36.02 fof(f567,plain,( 268.50/36.02 ( ! [X4,X2,X0,X5,X3,X1] : (~s_col(X0,X1,X3) | perp(X0,X1,X4,X5) | ~perp(X2,X3,X4,X5) | X0 = X1 | X2 = X3 | ~s_col(X0,X1,X2)) )), 268.50/36.02 inference(cnf_transformation,[],[f304])). 268.50/36.02 268.50/36.02 fof(f200,axiom,( 268.50/36.02 ! [X5,X8,X6,X9] : (perp(X8,X5,X6,X9) | ~perp(X5,X8,X6,X9))), 268.50/36.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p',aperp1)). 268.50/36.02 268.50/36.02 fof(f393,plain,( 268.50/36.02 ! [X0,X1,X2,X3] : (perp(X1,X0,X2,X3) | ~perp(X0,X1,X2,X3))), 268.50/36.02 inference(rectify,[],[f200])). 268.50/36.02 268.50/36.02 fof(f690,plain,( 268.50/36.02 ( ! [X2,X0,X3,X1] : (perp(X1,X0,X2,X3) | ~perp(X0,X1,X2,X3)) )), 268.50/36.02 inference(cnf_transformation,[],[f393])). 268.50/36.02 268.50/36.02 cnf(c_261,plain, 268.50/36.02 ( ~ s_m(X0,X1,X2) | s_m(X2,X1,X0) ), 268.50/36.02 inference(cnf_transformation,[],[f611]) ). 268.50/36.02 268.50/36.02 cnf(c_501,plain, 268.50/36.02 ( midpoint(X0,X1) != X2 | midpoint(X1,X0) = X2 ), 268.50/36.02 inference(well_definedness,[status(thm)],[c_261]) ). 268.50/36.02 268.50/36.02 cnf(c_2178,plain, 268.50/36.02 ( midpoint(X0,X1) = midpoint(X1,X0) ), 268.50/36.02 inference(unflattening,[status(thm)],[c_501]) ). 268.50/36.02 268.50/36.02 cnf(c_504819,plain, 268.50/36.02 ( midpoint(sK3,sK2) = midpoint(sK2,sK3) ), 268.50/36.02 inference(instantiation,[status(thm)],[c_2178]) ). 268.50/36.02 268.50/36.02 cnf(c_4445,plain, 268.50/36.02 ( X0 != X1 268.50/36.02 | X2 != X3 268.50/36.02 | X4 != X5 268.50/36.02 | ~ s_col(X1,X3,X5) 268.50/36.02 | s_col(X0,X2,X4) ), 268.50/36.02 theory(equality) ). 268.50/36.02 268.50/36.02 cnf(c_480327,plain, 268.50/36.02 ( midpoint(sK3,sK2) != X0 268.50/36.02 | sK0 != X1 268.50/36.02 | sK1 != X2 268.50/36.02 | ~ s_col(X1,X2,X0) 268.50/36.02 | s_col(sK0,sK1,midpoint(sK3,sK2)) ), 268.50/36.02 inference(instantiation,[status(thm)],[c_4445]) ). 268.50/36.02 268.50/36.02 cnf(c_141,negated_conjecture, 268.50/36.02 ( sK0 != sK1 ), 268.50/36.02 inference(cnf_transformation,[],[f493]) ). 268.50/36.02 268.50/36.02 cnf(c_256,plain, 268.50/36.02 ( ~ s_col(X0,X1,midpoint(X2,X3)) 268.50/36.02 | ~ perp(X0,X1,X2,X3) 268.50/36.02 | reflect(X0,X1,X2) = X3 268.50/36.02 | X0 = X1 ), 268.50/36.02 inference(cnf_transformation,[],[f607]) ). 268.50/36.02 268.50/36.02 cnf(c_142,negated_conjecture, 268.50/36.02 ( reflect(sK0,sK1,sK3) != sK2 ), 268.50/36.02 inference(cnf_transformation,[],[f492]) ). 268.50/36.02 268.50/36.02 cnf(c_8569,plain, 268.50/36.02 ( ~ s_col(sK0,sK1,midpoint(sK3,sK2)) 268.50/36.02 | ~ perp(sK0,sK1,sK3,sK2) 268.50/36.02 | sK0 = sK1 ), 268.50/36.02 inference(resolution,[status(thm)],[c_256,c_142]) ). 268.50/36.02 268.50/36.02 cnf(c_305,plain, 268.50/36.02 ( X0 = X1 | s_col(X0,X1,midpoint(X2,reflect(X0,X1,X2))) ), 268.50/36.02 inference(cnf_transformation,[],[f655]) ). 268.50/36.02 268.50/36.02 cnf(c_143,negated_conjecture, 268.50/36.02 ( reflect(sK0,sK1,sK2) = sK3 ), 268.50/36.02 inference(cnf_transformation,[],[f491]) ). 268.50/36.02 268.50/36.02 cnf(c_304,plain, 268.50/36.02 ( reflect(X0,X1,X2) = X2 268.50/36.02 | X0 = X1 268.50/36.02 | perp(X0,X1,X2,reflect(X0,X1,X2)) ), 268.50/36.02 inference(cnf_transformation,[],[f656]) ). 268.50/36.02 268.50/36.02 cnf(c_213,plain, 268.50/36.02 ( ~ perp(X0,X1,X2,X3) | perp(X2,X3,X0,X1) ), 268.50/36.02 inference(cnf_transformation,[],[f563]) ). 268.50/36.02 268.50/36.02 cnf(c_7681,plain, 268.50/36.02 ( reflect(X0,X1,X2) = X2 268.50/36.02 | X0 = X1 268.50/36.02 | perp(X2,reflect(X0,X1,X2),X0,X1) ), 268.50/36.02 inference(superposition,[status(thm)],[c_304,c_213]) ). 268.50/36.02 268.50/36.02 cnf(c_115,plain, 268.50/36.02 ( ~ perp(X0,X1,X2,X3) 268.50/36.02 | ~ s_col(X0,X1,X4) 268.50/36.02 | ~ s_col(X0,X1,X5) 268.50/36.02 | X0 = X1 268.50/36.02 | X4 = X5 268.50/36.02 | perp(X4,X5,X2,X3) ), 268.50/36.02 inference(cnf_transformation,[],[f465]) ). 268.50/36.02 268.50/36.02 cnf(c_7838,plain, 268.50/36.02 ( ~ s_col(X0,reflect(X1,X2,X0),X3) 268.50/36.02 | ~ s_col(X0,reflect(X1,X2,X0),X4) 268.50/36.02 | reflect(X1,X2,X0) = X0 268.50/36.02 | X1 = X2 268.50/36.02 | X3 = X4 268.50/36.02 | perp(X3,X4,X1,X2) ), 268.50/36.02 inference(superposition,[status(thm)],[c_7681,c_115]) ). 268.50/36.02 268.50/36.02 cnf(c_13586,plain, 268.50/36.02 ( ~ s_col(sK2,reflect(sK0,sK1,sK2),X0) 268.50/36.02 | ~ s_col(sK2,sK3,X1) 268.50/36.02 | reflect(sK0,sK1,sK2) = sK2 268.50/36.02 | X0 = X1 268.50/36.02 | sK0 = sK1 268.50/36.02 | perp(X1,X0,sK0,sK1) ), 268.50/36.02 inference(superposition,[status(thm)],[c_143,c_7838]) ). 268.50/36.02 268.50/36.02 cnf(c_13587,plain, 268.50/36.02 ( X0 = X1 268.50/36.02 | reflect(sK0,sK1,sK2) = sK2 268.50/36.02 | ~ s_col(sK2,sK3,X1) 268.50/36.02 | ~ s_col(sK2,reflect(sK0,sK1,sK2),X0) 268.50/36.02 | perp(X1,X0,sK0,sK1) ), 268.50/36.02 inference(global_propositional_subsumption, 268.50/36.02 [status(thm)], 268.50/36.02 [c_13586,c_141]) ). 268.50/36.02 268.50/36.02 cnf(c_13588,plain, 268.50/36.02 ( ~ s_col(sK2,reflect(sK0,sK1,sK2),X0) 268.50/36.02 | ~ s_col(sK2,sK3,X1) 268.50/36.02 | reflect(sK0,sK1,sK2) = sK2 268.50/36.02 | X0 = X1 268.50/36.02 | perp(X1,X0,sK0,sK1) ), 268.50/36.02 inference(renaming,[status(thm)],[c_13587]) ). 268.50/36.02 268.50/36.02 cnf(c_13589,plain, 268.50/36.02 ( ~ s_col(sK2,sK3,X0) 268.50/36.02 | midpoint(X1,reflect(sK2,reflect(sK0,sK1,sK2),X1)) = X0 268.50/36.02 | reflect(sK0,sK1,sK2) = sK2 268.50/36.02 | perp(X0,midpoint(X1,reflect(sK2,reflect(sK0,sK1,sK2),X1)),sK0,sK1) ), 268.50/36.02 inference(superposition,[status(thm)],[c_305,c_13588]) ). 268.50/36.02 268.50/36.02 cnf(c_13769,plain, 268.50/36.02 ( ~ s_col(sK2,sK3,X0) 268.50/36.02 | midpoint(X1,reflect(sK2,reflect(sK0,sK1,sK2),X1)) = X0 268.50/36.02 | reflect(sK0,sK1,sK2) = sK2 268.50/36.02 | perp(X0,midpoint(X1,reflect(sK2,sK3,X1)),sK0,sK1) ), 268.50/36.02 inference(superposition,[status(thm)],[c_143,c_13589]) ). 268.50/36.02 268.50/36.02 cnf(c_217,plain, 268.50/36.02 ( ~ perp(X0,X1,X2,X3) 268.50/36.02 | ~ s_col(X4,X5,X0) 268.50/36.02 | ~ s_col(X4,X5,X1) 268.50/36.02 | X0 = X1 268.50/36.02 | X4 = X5 268.50/36.02 | perp(X4,X5,X2,X3) ), 268.50/36.02 inference(cnf_transformation,[],[f567]) ). 268.50/36.02 268.50/36.02 cnf(c_13786,plain, 268.50/36.02 ( ~ s_col(X0,X1,midpoint(X2,reflect(sK2,sK3,X2))) 268.50/36.02 | ~ s_col(X0,X1,X3) 268.50/36.02 | ~ s_col(sK2,sK3,X3) 268.50/36.02 | midpoint(X2,reflect(sK2,reflect(sK0,sK1,sK2),X2)) = X3 268.50/36.02 | midpoint(X2,reflect(sK2,sK3,X2)) = X3 268.50/36.02 | reflect(sK0,sK1,sK2) = sK2 268.50/36.02 | X0 = X1 268.50/36.02 | perp(X0,X1,sK0,sK1) ), 268.50/36.02 inference(superposition,[status(thm)],[c_13769,c_217]) ). 268.50/36.02 268.50/36.02 cnf(c_14425,plain, 268.50/36.02 ( ~ s_col(sK2,sK3,X0) 268.50/36.02 | midpoint(X1,reflect(sK2,reflect(sK0,sK1,sK2),X1)) = X0 268.50/36.02 | midpoint(X1,reflect(sK2,sK3,X1)) = X0 268.50/36.02 | reflect(sK0,sK1,sK2) = sK2 268.50/36.02 | sK2 = sK3 268.50/36.02 | perp(sK2,sK3,sK0,sK1) ), 268.50/36.02 inference(superposition,[status(thm)],[c_305,c_13786]) ). 268.50/36.02 268.50/36.02 cnf(c_7677,plain, 268.50/36.02 ( reflect(sK0,sK1,sK2) = sK2 | sK0 = sK1 | perp(sK0,sK1,sK2,sK3) ), 268.50/36.02 inference(superposition,[status(thm)],[c_143,c_304]) ). 268.50/36.02 268.50/36.02 cnf(c_7666,plain, 268.50/36.02 ( reflect(sK0,sK1,sK2) = sK2 | sK0 = sK1 | perp(sK0,sK1,sK2,sK3) ), 268.50/36.02 inference(superposition,[status(thm)],[c_143,c_304]) ). 268.50/36.02 268.50/36.02 cnf(c_7684,plain, 268.50/36.02 ( reflect(sK0,sK1,sK2) = sK2 | perp(sK0,sK1,sK2,sK3) ), 268.50/36.02 inference(global_propositional_subsumption, 268.50/36.02 [status(thm)], 268.50/36.02 [c_7677,c_141,c_7666]) ). 268.50/36.02 268.50/36.02 cnf(c_7689,plain, 268.50/36.02 ( reflect(sK0,sK1,sK2) = sK2 | perp(sK2,sK3,sK0,sK1) ), 268.50/36.02 inference(superposition,[status(thm)],[c_7684,c_213]) ). 268.50/36.02 268.50/36.02 cnf(c_4439,plain,( X0 = X0 ),theory(equality) ). 268.50/36.02 268.50/36.02 cnf(c_7769,plain, 268.50/36.02 ( sK2 = sK2 ), 268.50/36.02 inference(instantiation,[status(thm)],[c_4439]) ). 268.50/36.02 268.50/36.02 cnf(c_4441,plain,( X0 != X1 | X2 != X1 | X2 = X0 ),theory(equality) ). 268.50/36.02 268.50/36.02 cnf(c_7912,plain, 268.50/36.02 ( X0 != X1 | X1 = X0 ), 268.50/36.02 inference(resolution,[status(thm)],[c_4441,c_4439]) ). 268.50/36.02 268.50/36.02 cnf(c_7997,plain, 268.50/36.02 ( sK3 = reflect(sK0,sK1,sK2) ), 268.50/36.02 inference(resolution,[status(thm)],[c_7912,c_143]) ). 268.50/36.02 268.50/36.02 cnf(c_7750,plain, 268.50/36.02 ( X0 != X1 | sK2 != X1 | sK2 = X0 ), 268.50/36.02 inference(instantiation,[status(thm)],[c_4441]) ). 268.50/36.02 268.50/36.02 cnf(c_7768,plain, 268.50/36.02 ( X0 != sK2 | sK2 != sK2 | sK2 = X0 ), 268.50/36.02 inference(instantiation,[status(thm)],[c_7750]) ). 268.50/36.02 268.50/36.02 cnf(c_8040,plain, 268.50/36.02 ( reflect(sK0,sK1,sK2) != sK2 268.50/36.02 | sK2 != sK2 268.50/36.02 | sK2 = reflect(sK0,sK1,sK2) ), 268.50/36.02 inference(instantiation,[status(thm)],[c_7768]) ). 268.50/36.02 268.50/36.02 cnf(c_9345,plain, 268.50/36.02 ( X0 != reflect(sK0,sK1,sK2) 268.50/36.02 | sK2 != reflect(sK0,sK1,sK2) 268.50/36.02 | sK2 = X0 ), 268.50/36.02 inference(instantiation,[status(thm)],[c_7750]) ). 268.50/36.02 268.50/36.02 cnf(c_13455,plain, 268.50/36.02 ( sK2 != reflect(sK0,sK1,sK2) 268.50/36.02 | sK3 != reflect(sK0,sK1,sK2) 268.50/36.02 | sK2 = sK3 ), 268.50/36.02 inference(instantiation,[status(thm)],[c_9345]) ). 268.50/36.02 268.50/36.02 cnf(c_17728,plain, 268.50/36.02 ( sK2 = sK3 | perp(sK2,sK3,sK0,sK1) ), 268.50/36.02 inference(global_propositional_subsumption, 268.50/36.02 [status(thm)], 268.50/36.02 [c_14425,c_7689,c_7769,c_7997,c_8040,c_13455]) ). 268.50/36.02 268.50/36.02 cnf(c_339,plain, 268.50/36.02 ( ~ perp(X0,X1,X2,X3) | perp(X1,X0,X2,X3) ), 268.50/36.02 inference(cnf_transformation,[],[f690]) ). 268.50/36.02 268.50/36.02 cnf(c_17734,plain, 268.50/36.02 ( sK2 = sK3 | perp(sK3,sK2,sK0,sK1) ), 268.50/36.02 inference(superposition,[status(thm)],[c_17728,c_339]) ). 268.50/36.02 268.50/36.02 cnf(c_17801,plain, 268.50/36.02 ( sK2 = sK3 | perp(sK0,sK1,sK3,sK2) ), 268.50/36.02 inference(superposition,[status(thm)],[c_17734,c_213]) ). 268.50/36.02 268.50/36.02 cnf(c_4453,plain, 268.50/36.02 ( X0 != X1 268.50/36.02 | X2 != X3 268.50/36.02 | X4 != X5 268.50/36.02 | reflect(X0,X2,X4) = reflect(X1,X3,X5) ), 268.50/36.02 theory(equality) ). 268.50/36.02 268.50/36.02 cnf(c_8087,plain, 268.50/36.02 ( X0 != reflect(sK0,sK1,sK2) | sK3 = X0 ), 268.50/36.02 inference(resolution,[status(thm)],[c_7997,c_4441]) ). 268.50/36.02 268.50/36.02 cnf(c_8950,plain, 268.50/36.02 ( X0 != sK2 | X1 != sK1 | X2 != sK0 | sK3 = reflect(X2,X1,X0) ), 268.50/36.02 inference(resolution,[status(thm)],[c_4453,c_8087]) ). 268.50/36.02 268.50/36.02 cnf(c_9159,plain, 268.50/36.02 ( X0 != sK2 | X1 != sK1 | X2 != sK0 | reflect(X2,X1,X0) = sK3 ), 268.50/36.02 inference(resolution,[status(thm)],[c_8950,c_7912]) ). 268.50/36.02 268.50/36.02 cnf(c_7910,plain, 268.50/36.02 ( X0 != sK3 | reflect(sK0,sK1,sK2) = X0 ), 268.50/36.02 inference(resolution,[status(thm)],[c_4441,c_143]) ). 268.50/36.02 268.50/36.02 cnf(c_7943,plain, 268.50/36.02 ( X0 != X1 | X1 != sK3 | reflect(sK0,sK1,sK2) = X0 ), 268.50/36.02 inference(resolution,[status(thm)],[c_7910,c_4441]) ). 268.50/36.02 268.50/36.02 cnf(c_9230,plain, 268.50/36.02 ( X0 != reflect(X1,X2,X3) 268.50/36.02 | X1 != sK0 268.50/36.02 | X2 != sK1 268.50/36.02 | X3 != sK2 268.50/36.02 | reflect(sK0,sK1,sK2) = X0 ), 268.50/36.02 inference(resolution,[status(thm)],[c_9159,c_7943]) ). 268.50/36.02 268.50/36.02 cnf(c_9306,plain, 268.50/36.02 ( X0 != X1 268.50/36.02 | X1 != sK0 268.50/36.02 | X2 != X3 268.50/36.02 | X3 != sK1 268.50/36.02 | X4 != X5 268.50/36.02 | X5 != sK2 268.50/36.02 | reflect(sK0,sK1,sK2) = reflect(X0,X2,X4) ), 268.50/36.02 inference(resolution,[status(thm)],[c_9230,c_4453]) ). 268.50/36.02 268.50/36.02 cnf(c_9749,plain, 268.50/36.02 ( X0 != X1 268.50/36.02 | X1 != sK0 268.50/36.02 | X2 != X3 268.50/36.02 | X3 != sK1 268.50/36.02 | X4 != reflect(sK0,sK1,sK2) 268.50/36.02 | sK2 != sK3 268.50/36.02 | reflect(sK0,sK1,sK2) = reflect(X0,X2,X4) ), 268.50/36.02 inference(resolution,[status(thm)],[c_9306,c_7910]) ). 268.50/36.02 268.50/36.02 cnf(c_9791,plain, 268.50/36.02 ( X0 != X1 268.50/36.02 | X1 != sK0 268.50/36.02 | X2 != reflect(sK0,sK1,sK2) 268.50/36.02 | X3 != sK1 268.50/36.02 | sK2 != sK3 268.50/36.02 | reflect(sK0,sK1,sK2) = reflect(X0,X3,X2) ), 268.50/36.02 inference(resolution,[status(thm)],[c_9749,c_4439]) ). 268.50/36.02 268.50/36.02 cnf(c_10778,plain, 268.50/36.02 ( X0 != reflect(sK0,sK1,sK2) 268.50/36.02 | X1 != reflect(sK0,sK1,sK2) 268.50/36.02 | X2 != sK1 268.50/36.02 | sK0 != sK3 268.50/36.02 | sK2 != sK3 268.50/36.02 | reflect(sK0,sK1,sK2) = reflect(X0,X2,X1) ), 268.50/36.02 inference(resolution,[status(thm)],[c_9791,c_7910]) ). 268.50/36.02 268.50/36.02 cnf(c_10831,plain, 268.50/36.02 ( X0 != reflect(sK0,sK1,sK2) 268.50/36.02 | X1 != reflect(sK0,sK1,sK2) 268.50/36.02 | X2 != sK1 268.50/36.02 | sK0 != sK3 268.50/36.02 | sK2 != sK3 268.50/36.02 | reflect(X0,X2,X1) = reflect(sK0,sK1,sK2) ), 268.50/36.02 inference(resolution,[status(thm)],[c_10778,c_7912]) ). 268.50/36.02 268.50/36.02 cnf(c_10998,plain, 268.50/36.02 ( X0 != reflect(sK0,sK1,sK2) 268.50/36.02 | X1 != reflect(sK0,sK1,sK2) 268.50/36.02 | X2 != sK1 268.50/36.02 | sK0 != sK3 268.50/36.02 | sK2 != sK3 268.50/36.02 | sK3 = reflect(X0,X2,X1) ), 268.50/36.02 inference(resolution,[status(thm)],[c_10831,c_8087]) ). 268.50/36.02 268.50/36.02 cnf(c_7999,plain, 268.50/36.02 ( X0 != sK3 | X0 = reflect(sK0,sK1,sK2) ), 268.50/36.02 inference(resolution,[status(thm)],[c_7912,c_7910]) ). 268.50/36.02 268.50/36.02 cnf(c_11092,plain, 268.50/36.02 ( X0 != reflect(sK0,sK1,sK2) 268.50/36.02 | X1 != sK3 268.50/36.02 | X2 != sK1 268.50/36.02 | sK0 != sK3 268.50/36.02 | sK2 != sK3 268.50/36.02 | sK3 = reflect(X0,X2,X1) ), 268.50/36.02 inference(resolution,[status(thm)],[c_10998,c_7999]) ). 268.50/36.02 268.50/36.02 cnf(c_7763,plain, 268.50/36.02 ( sK1 = sK1 ), 268.50/36.02 inference(instantiation,[status(thm)],[c_4439]) ). 268.50/36.02 268.50/36.02 cnf(c_7782,plain, 268.50/36.02 ( sK0 = sK0 ), 268.50/36.02 inference(instantiation,[status(thm)],[c_4439]) ). 268.50/36.02 268.50/36.02 cnf(c_7696,plain, 268.50/36.02 ( reflect(sK0,sK1,sK3) != X0 268.50/36.02 | sK2 != X0 268.50/36.02 | reflect(sK0,sK1,sK3) = sK2 ), 268.50/36.02 inference(instantiation,[status(thm)],[c_4441]) ). 268.50/36.02 268.50/36.02 cnf(c_7865,plain, 268.50/36.02 ( reflect(sK0,sK1,sK3) != reflect(X0,X1,X2) 268.50/36.02 | sK2 != reflect(X0,X1,X2) 268.50/36.02 | reflect(sK0,sK1,sK3) = sK2 ), 268.50/36.02 inference(instantiation,[status(thm)],[c_7696]) ). 268.50/36.02 268.50/36.02 cnf(c_8167,plain, 268.50/36.02 ( reflect(sK0,sK1,sK3) != reflect(sK0,sK1,sK2) 268.50/36.02 | sK2 != reflect(sK0,sK1,sK2) 268.50/36.02 | reflect(sK0,sK1,sK3) = sK2 ), 268.50/36.02 inference(instantiation,[status(thm)],[c_7865]) ). 268.50/36.02 268.50/36.02 cnf(c_8184,plain, 268.50/36.02 ( reflect(X0,X1,X2) != X3 | sK2 != X3 | sK2 = reflect(X0,X1,X2) ), 268.50/36.02 inference(instantiation,[status(thm)],[c_7750]) ). 268.50/36.02 268.50/36.02 cnf(c_11323,plain, 268.50/36.02 ( reflect(sK0,sK1,sK2) != sK3 268.50/36.02 | sK2 != sK3 268.50/36.02 | sK2 = reflect(sK0,sK1,sK2) ), 268.50/36.02 inference(instantiation,[status(thm)],[c_8184]) ). 268.50/36.02 268.50/36.02 cnf(c_7973,plain, 268.50/36.02 ( X0 != X1 | sK3 != X1 | sK3 = X0 ), 268.50/36.02 inference(instantiation,[status(thm)],[c_4441]) ). 268.50/36.02 268.50/36.02 cnf(c_13468,plain, 268.50/36.02 ( sK2 != X0 | sK3 != X0 | sK3 = sK2 ), 268.50/36.02 inference(instantiation,[status(thm)],[c_7973]) ). 268.50/36.02 268.50/36.02 cnf(c_7866,plain, 268.50/36.02 ( sK0 != X0 268.50/36.02 | sK1 != X1 268.50/36.02 | sK3 != X2 268.50/36.02 | reflect(sK0,sK1,sK3) = reflect(X0,X1,X2) ), 268.50/36.02 inference(instantiation,[status(thm)],[c_4453]) ). 268.50/36.02 268.50/36.02 cnf(c_8992,plain, 268.50/36.02 ( sK0 != sK0 268.50/36.02 | sK1 != X0 268.50/36.02 | sK3 != X1 268.50/36.02 | reflect(sK0,sK1,sK3) = reflect(sK0,X0,X1) ), 268.50/36.02 inference(instantiation,[status(thm)],[c_7866]) ). 268.50/36.02 268.50/36.02 cnf(c_13698,plain, 268.50/36.02 ( sK0 != sK0 268.50/36.02 | sK1 != sK1 268.50/36.02 | sK3 != sK2 268.50/36.02 | reflect(sK0,sK1,sK3) = reflect(sK0,sK1,sK2) ), 268.50/36.02 inference(instantiation,[status(thm)],[c_8992]) ). 268.50/36.02 268.50/36.02 cnf(c_18891,plain, 268.50/36.02 ( sK2 != sK3 | X0 != reflect(sK0,sK1,sK2) ), 268.50/36.02 inference(global_propositional_subsumption, 268.50/36.02 [status(thm)], 268.50/36.02 [c_11092,c_143,c_142,c_7763,c_7782,c_8087,c_8167,c_9345, 268.50/36.02 c_11323,c_13468,c_13698]) ). 268.50/36.02 268.50/36.02 cnf(c_18892,plain, 268.50/36.02 ( X0 != reflect(sK0,sK1,sK2) | sK2 != sK3 ), 268.50/36.02 inference(renaming,[status(thm)],[c_18891]) ). 268.50/36.02 268.50/36.02 cnf(c_18904,plain, 268.50/36.02 ( sK2 != sK3 ), 268.50/36.02 inference(resolution,[status(thm)],[c_18892,c_7997]) ). 268.50/36.02 268.50/36.02 cnf(c_483328,plain, 268.50/36.02 ( ~ s_col(X1,X2,X0) 268.50/36.02 | sK1 != X2 268.50/36.02 | sK0 != X1 268.50/36.02 | midpoint(sK3,sK2) != X0 ), 268.50/36.02 inference(global_propositional_subsumption, 268.50/36.02 [status(thm)], 268.50/36.02 [c_480327,c_141,c_8569,c_17801,c_18904]) ). 268.50/36.02 268.50/36.02 cnf(c_483329,plain, 268.50/36.02 ( midpoint(sK3,sK2) != X0 268.50/36.02 | sK0 != X1 268.50/36.02 | sK1 != X2 268.50/36.02 | ~ s_col(X1,X2,X0) ), 268.50/36.02 inference(renaming,[status(thm)],[c_483328]) ). 268.50/36.02 268.50/36.02 cnf(c_485844,plain, 268.50/36.02 ( midpoint(sK3,sK2) != X0 268.50/36.02 | sK0 != sK0 268.50/36.02 | sK1 != X1 268.50/36.02 | ~ s_col(sK0,X1,X0) ), 268.50/36.02 inference(instantiation,[status(thm)],[c_483329]) ). 268.50/36.02 268.50/36.02 cnf(c_499406,plain, 268.50/36.02 ( midpoint(sK3,sK2) != X0 | sK1 != X1 | ~ s_col(sK0,X1,X0) ), 268.50/36.02 inference(global_propositional_subsumption, 268.50/36.02 [status(thm)], 268.50/36.02 [c_485844,c_7782]) ). 268.50/36.02 268.50/36.02 cnf(c_499438,plain, 268.50/36.02 ( midpoint(sK3,sK2) != X0 | sK1 != sK1 | ~ s_col(sK0,sK1,X0) ), 268.50/36.02 inference(instantiation,[status(thm)],[c_499406]) ). 268.50/36.02 268.50/36.02 cnf(c_504779,plain, 268.50/36.02 ( midpoint(sK3,sK2) != X0 | ~ s_col(sK0,sK1,X0) ), 268.50/36.02 inference(global_propositional_subsumption, 268.50/36.02 [status(thm)], 268.50/36.02 [c_499438,c_7763]) ). 268.50/36.02 268.50/36.02 cnf(c_504818,plain, 268.50/36.02 ( midpoint(sK3,sK2) != midpoint(sK2,sK3) 268.50/36.02 | ~ s_col(sK0,sK1,midpoint(sK2,sK3)) ), 268.50/36.02 inference(instantiation,[status(thm)],[c_504779]) ). 268.50/36.02 268.50/36.02 cnf(c_7663,plain, 268.50/36.02 ( sK0 = sK1 | s_col(sK0,sK1,midpoint(sK2,sK3)) ), 268.50/36.02 inference(superposition,[status(thm)],[c_143,c_305]) ). 268.50/36.02 268.50/36.02 cnf(contradiction,plain, 268.50/36.02 ( $false ), 268.50/36.02 inference(minisat,[status(thm)],[c_504819,c_504818,c_7663,c_141]) ). 268.50/36.02 268.50/36.02 268.50/36.02 % SZS output end CNFRefutation for theBenchmark.p 268.50/36.02 268.50/36.02 ------ Statistics 268.50/36.02 268.50/36.02 ------ Selected 268.50/36.02 268.50/36.02 total_time: 21.995 268.50/36.02 268.50/36.05 EOF