0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : run_iprover 180 /export/starexec/sandbox2/benchmark/theBenchmark.p THM 0.10/0.35 % Computer : n023.cluster.edu 0.10/0.35 % Model : x86_64 x86_64 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.35 % Memory : 8046.5625MB 0.10/0.35 % OS : Linux 6.8.0-71-generic 0.10/0.35 % CPULimit : 1440 0.10/0.35 % WCLimit : 180 0.10/0.35 % DateTime : Mon Jul 27 09:22:36 UTC 2026 0.10/0.35 % CPUTime : 0.10/0.35 Running run_iprover 180 /export/starexec/sandbox2/benchmark/theBenchmark.p THM 0.14/0.37 /export/starexec/sandbox2/solver/bin/SPCForProblem: Command not found. 0.14/0.38 Running first-order theorem proving 0.14/0.38 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.39 0.14/0.39 % ======== iProver multi-core TPTP/SMT ========= 0.14/0.39 0.14/0.40 % Detected problem language: tptp 0.14/0.41 % Proving... 0.88/1.15 % SZS status Started for theBenchmark.p 0.88/1.15 % SZS status Theorem for theBenchmark.p 0.88/1.15 0.88/1.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------% 0.88/1.15 0.88/1.15 % ------ iProver source info 0.88/1.15 0.88/1.15 % git: date: 2026-07-19 20:42:38 +0200 0.88/1.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61 0.88/1.15 % git: non_committed_changes: false 0.88/1.15 0.88/1.15 % ------ Parsing... 0.88/1.15 % ------ Clausification by vclausify_rel & Parsing by iProver...% 0.88/1.15 0.88/1.15 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e % 0.88/1.15 0.88/1.15 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % 0.88/1.15 0.88/1.15 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 0.88/1.15 % ------ Proving... 0.88/1.15 % ------ Problem Properties 0.88/1.15 0.88/1.15 % 0.88/1.15 % clauses 94 0.88/1.15 % conjectures 0 0.88/1.15 % EPR 40 0.88/1.15 % Horn 75 0.88/1.15 % unary 17 0.88/1.15 % binary 46 0.88/1.15 % lits 222 0.88/1.15 % lits eq 2 0.88/1.15 % fd_pure 0 0.88/1.15 % fd_pseudo 0 0.88/1.15 % fd_cond 0 0.88/1.15 % fd_pseudo_cond 0 0.88/1.15 % AC symbols 0 0.88/1.15 0.88/1.15 % ------ Schedule dynamic 5 is on 0.88/1.15 0.88/1.15 % ------ no conjectures: strip conj schedule 0.88/1.15 0.88/1.15 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10. 0.88/1.15 0.88/1.15 0.88/1.15 % ------ 0.88/1.15 % Current options: 0.88/1.15 % ------ 0.88/1.15 0.88/1.15 0.88/1.15 % 0.88/1.15 0.88/1.15 % ------ Proving... 0.88/1.15 % 0.88/1.15 0.88/1.15 % SZS status Theorem for theBenchmark.p 0.88/1.15 0.88/1.15 % SZS output start CNFRefutation for theBenchmark.p 0.88/1.15 0.88/1.15 fof(f12,axiom,( 0.88/1.15 ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X0) => model(X2,X1)))), 0.88/1.15 file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',thm)). 0.88/1.15 0.88/1.15 fof(f19,axiom,( 0.88/1.15 ! [X0,X1] : (status(X0,X1,wth) <=> (? [X2] : ~model(X2,X1) & ? [X3] : (~model(X3,X0) & model(X3,X1)) & ! [X4] : (model(X4,X0) => model(X4,X1)) & ? [X5] : model(X5,X0)))), 0.88/1.15 file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',wth)). 0.88/1.15 0.88/1.15 fof(f28,axiom,( 0.88/1.15 ! [X0,X1] : (! [X2,X3] : (status(X2,X3,X0) => status(X2,X3,X1)) <=> isa(X0,X1))), 0.88/1.15 file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',isa)). 0.88/1.15 0.88/1.15 fof(f33,conjecture,( 0.88/1.15 isa(wth,thm)), 0.88/1.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_wth_thm)). 0.88/1.15 0.88/1.15 fof(f34,negated_conjecture,( 0.88/1.15 ~ isa(wth,thm)), 0.88/1.15 inference(negated_conjecture,[status(cth)],[f33])). 0.88/1.15 0.88/1.15 fof(f35,plain,( 0.88/1.15 ~isa(wth,thm)), 0.88/1.15 inference(flattening,[],[f34])). 0.88/1.15 0.88/1.15 fof(f36,plain,( 0.88/1.15 ! [X0,X1] : (! [X2,X3] : (status(X2,X3,X0) => status(X2,X3,X1)) => isa(X0,X1))), 0.88/1.15 inference(unused_predicate_definition_removal,[],[f28])). 0.88/1.15 0.88/1.15 fof(f41,plain,( 0.88/1.15 ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X1) | ~model(X2,X0)))), 0.88/1.15 inference(ennf_transformation,[],[f12])). 0.88/1.15 0.88/1.15 fof(f45,plain,( 0.88/1.15 ! [X0,X1] : (status(X0,X1,wth) <=> (? [X2] : ~model(X2,X1) & ? [X3] : (~model(X3,X0) & model(X3,X1)) & ! [X4] : (model(X4,X1) | ~model(X4,X0)) & ? [X5] : model(X5,X0)))), 0.88/1.15 inference(ennf_transformation,[],[f19])). 0.88/1.15 0.88/1.15 fof(f47,plain,( 0.88/1.15 ! [X0,X1] : (isa(X0,X1) | ? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)))), 0.88/1.15 inference(ennf_transformation,[],[f36])). 0.88/1.15 0.88/1.15 fof(f89,plain,( 0.88/1.15 ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)))), 0.88/1.15 inference(nnf_transformation,[],[f41])). 0.88/1.15 0.88/1.15 fof(f90,plain,( 0.88/1.15 ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))), 0.88/1.15 inference(rectify,[],[f89])). 0.88/1.15 0.88/1.15 fof(f91,plain,( 0.88/1.15 ! [X0,X1] : ((status(X0,X1,thm) | (~model(sK25(X0,X1),X1) & model(sK25(X0,X1),X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))), 0.88/1.15 inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X2,sK25(X0,X1))],[f90])). 0.88/1.15 0.88/1.15 fof(f114,plain,( 0.88/1.15 ! [X0,X1] : ((status(X0,X1,wth) | (! [X2] : model(X2,X1) | ! [X3] : (model(X3,X0) | ~model(X3,X1)) | ? [X4] : (~model(X4,X1) & model(X4,X0)) | ! [X5] : ~model(X5,X0))) & ((? [X2] : ~model(X2,X1) & ? [X3] : (~model(X3,X0) & model(X3,X1)) & ! [X4] : (model(X4,X1) | ~model(X4,X0)) & ? [X5] : model(X5,X0)) | ~status(X0,X1,wth)))), 0.88/1.15 inference(nnf_transformation,[],[f45])). 0.88/1.15 0.88/1.15 fof(f115,plain,( 0.88/1.15 ! [X0,X1] : ((status(X0,X1,wth) | ! [X2] : model(X2,X1) | ! [X3] : (model(X3,X0) | ~model(X3,X1)) | ? [X4] : (~model(X4,X1) & model(X4,X0)) | ! [X5] : ~model(X5,X0)) & ((? [X2] : ~model(X2,X1) & ? [X3] : (~model(X3,X0) & model(X3,X1)) & ! [X4] : (model(X4,X1) | ~model(X4,X0)) & ? [X5] : model(X5,X0)) | ~status(X0,X1,wth)))), 0.88/1.15 inference(flattening,[],[f114])). 0.88/1.15 0.88/1.15 fof(f116,plain,( 0.88/1.15 ! [X0,X1] : ((status(X0,X1,wth) | ! [X2] : model(X2,X1) | ! [X3] : (model(X3,X0) | ~model(X3,X1)) | ? [X4] : (~model(X4,X1) & model(X4,X0)) | ! [X5] : ~model(X5,X0)) & ((? [X6] : ~model(X6,X1) & ? [X7] : (~model(X7,X0) & model(X7,X1)) & ! [X8] : (model(X8,X1) | ~model(X8,X0)) & ? [X9] : model(X9,X0)) | ~status(X0,X1,wth)))), 0.88/1.15 inference(rectify,[],[f115])). 0.88/1.15 0.88/1.15 fof(f117,plain,( 0.88/1.15 ! [X0,X1] : ((status(X0,X1,wth) | ! [X2] : model(X2,X1) | ! [X3] : (model(X3,X0) | ~model(X3,X1)) | (~model(sK37(X0,X1),X1) & model(sK37(X0,X1),X0)) | ! [X5] : ~model(X5,X0)) & ((~model(sK38(X1),X1) & (~model(sK39(X0,X1),X0) & model(sK39(X0,X1),X1)) & ! [X8] : (model(X8,X1) | ~model(X8,X0)) & model(sK40(X0),X0)) | ~status(X0,X1,wth)))), 0.88/1.15 inference(skolemize,[status(esa),new_symbols(skolem,[sK37,sK38,sK39,sK40]),skolemize(X4,sK37(X0,X1)),skolemize(X6,sK38(X1)),skolemize(X7,sK39(X0,X1)),skolemize(X9,sK40(X0))],[f116])). 0.88/1.15 0.88/1.15 fof(f124,plain,( 0.88/1.15 ! [X0,X1] : (isa(X0,X1) | (~status(sK55(X0,X1),sK56(X0,X1),X1) & status(sK55(X0,X1),sK56(X0,X1),X0)))), 0.88/1.15 inference(skolemize,[status(esa),new_symbols(skolem,[sK55,sK56]),skolemize(X2,sK55(X0,X1)),skolemize(X3,sK56(X0,X1))],[f47])). 0.88/1.15 0.88/1.15 fof(f173,plain,( 0.88/1.15 ( ! [X0,X1] : (status(X0,X1,thm) | model(sK25(X0,X1),X0)) )), 0.88/1.15 inference(cnf_transformation,[],[f91])). 0.88/1.15 0.88/1.15 fof(f174,plain,( 0.88/1.15 ( ! [X0,X1] : (status(X0,X1,thm) | ~model(sK25(X0,X1),X1)) )), 0.88/1.15 inference(cnf_transformation,[],[f91])). 0.88/1.15 0.88/1.15 fof(f194,plain,( 0.88/1.15 ( ! [X0,X1,X8] : (model(X8,X1) | ~model(X8,X0) | ~status(X0,X1,wth)) )), 0.88/1.15 inference(cnf_transformation,[],[f117])). 0.88/1.15 0.88/1.15 fof(f216,plain,( 0.88/1.15 ( ! [X0,X1] : (isa(X0,X1) | status(sK55(X0,X1),sK56(X0,X1),X0)) )), 0.88/1.15 inference(cnf_transformation,[],[f124])). 0.88/1.15 0.88/1.15 fof(f217,plain,( 0.88/1.15 ( ! [X0,X1] : (isa(X0,X1) | ~status(sK55(X0,X1),sK56(X0,X1),X1)) )), 0.88/1.15 inference(cnf_transformation,[],[f124])). 0.88/1.15 0.88/1.15 fof(f221,plain,( 0.88/1.15 ~isa(wth,thm)), 0.88/1.15 inference(cnf_transformation,[],[f35])). 0.88/1.15 0.88/1.15 tcf(c_94,plain,![X0:$i,X1:$i]: 0.88/1.15 (~model(sK25(X0,X1),X1)|status(X0,X1,thm)), 0.88/1.15 inference(cnf_transformation,[],[f174])). 0.88/1.15 0.88/1.15 tcf(c_95,plain,![X0:$i,X1:$i]: 0.88/1.15 (model(sK25(X0,X1),X0)|status(X0,X1,thm)), 0.88/1.15 inference(cnf_transformation,[],[f173])). 0.88/1.15 0.88/1.15 tcf(c_120,plain,![X0:$i,X1:$i,X2:$i]: 0.88/1.15 (~status(X0,X1,wth)|~model(X2,X0)|model(X2,X1)), 0.88/1.15 inference(cnf_transformation,[],[f194])). 0.88/1.15 0.88/1.15 tcf(c_138,plain,![X0:$i,X1:$i]: 0.88/1.15 (~status(sK55(X0,X1),sK56(X0,X1),X1)|isa(X0,X1)), 0.88/1.15 inference(cnf_transformation,[],[f217])). 0.88/1.15 0.88/1.15 tcf(c_139,plain,![X0:$i,X1:$i]: 0.88/1.15 (status(sK55(X0,X1),sK56(X0,X1),X0)|isa(X0,X1)), 0.88/1.15 inference(cnf_transformation,[],[f216])). 0.88/1.15 0.88/1.15 tcf(c_143,negated_conjecture, 0.88/1.15 (~isa(wth,thm)), 0.88/1.15 inference(cnf_transformation,[],[f221])). 0.88/1.15 0.88/1.15 tcf(c_332,plain,![X0:$i,X1:$i]: 0.88/1.15 (~status(sK55(X0,X1),sK56(X0,X1),X1)|isa(X0,X1)), 0.88/1.15 inference(prop_impl_just,[status(thm)],[c_138])). 0.88/1.15 0.88/1.15 tcf(c_382,plain,![X0:$i,X1:$i]: 0.88/1.15 (status(sK55(X0,X1),sK56(X0,X1),X0)|isa(X0,X1)), 0.88/1.15 inference(prop_impl_just,[status(thm)],[c_139])). 0.88/1.15 0.88/1.15 tcf(c_987,plain, 0.88/1.15 (status(sK55(wth,thm),sK56(wth,thm),wth)), 0.88/1.15 inference(resolution,[status(thm)],[c_382,c_143])). 0.88/1.15 0.88/1.15 tcf(c_991,plain, 0.88/1.15 (~status(sK55(wth,thm),sK56(wth,thm),thm)), 0.88/1.15 inference(resolution,[status(thm)],[c_332,c_143])). 0.88/1.15 0.88/1.15 tcf(c_1761,definition, 0.88/1.15 (iPr_def_10 = sK55(wth,thm)), 0.88/1.15 introduced(definition,[new_symbols(definition,[iPr_def_10])],[])). 0.88/1.15 0.88/1.15 tcf(c_1762,definition, 0.88/1.15 (iPr_def_11 = sK56(wth,thm)), 0.88/1.15 introduced(definition,[new_symbols(definition,[iPr_def_11])],[])). 0.88/1.15 0.88/1.15 tcf(c_1763,plain, 0.88/1.15 (~status(iPr_def_10,iPr_def_11,thm)), 0.88/1.15 inference(demodulation,[status(thm)],[c_991,c_1762,c_1761])). 0.88/1.15 0.88/1.15 tcf(c_1764,plain, 0.88/1.15 (status(iPr_def_10,iPr_def_11,wth)), 0.88/1.15 inference(demodulation,[status(thm)],[c_987])). 0.88/1.15 0.88/1.15 tcf(c_7100,plain,![X0:$i]: 0.88/1.15 (~model(X0,iPr_def_10)|model(X0,iPr_def_11)), 0.88/1.15 inference(superposition,[status(thm)],[c_1764,c_120])). 0.88/1.15 0.88/1.15 tcf(c_8147,plain,![X0:$i]: 0.88/1.15 (model(sK25(iPr_def_10,X0),iPr_def_11)|status(iPr_def_10,X0,thm)), 0.88/1.15 inference(superposition,[status(thm)],[c_95,c_7100])). 0.88/1.15 0.88/1.15 tcf(c_8951,plain, 0.88/1.15 (status(iPr_def_10,iPr_def_11,thm)), 0.88/1.15 inference(superposition,[status(thm)],[c_8147,c_94])). 0.88/1.15 0.88/1.15 tcf(c_8952,plain, 0.88/1.15 ($false), 0.88/1.15 inference(forward_subsumption_resolution,[status(thm)],[c_8951,c_1763])). 0.88/1.15 0.88/1.15 0.88/1.15 % SZS output end CNFRefutation for theBenchmark.p 0.88/1.15 0.88/1.15 3.20/1.27 EOF