0.00/0.01 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.02 % Command : run_iprover 180 /export/starexec/sandbox2/benchmark/theBenchmark.p THM 0.05/0.29 % Computer : n012.cluster.edu 0.05/0.29 % Model : x86_64 x86_64 0.05/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.05/0.29 % Memory : 8046.5625MB 0.05/0.29 % OS : Linux 6.8.0-71-generic 0.05/0.29 % CPULimit : 1440 0.05/0.29 % WCLimit : 180 0.05/0.29 % DateTime : Mon Jul 27 09:02:19 UTC 2026 0.05/0.29 % CPUTime : 0.05/0.29 Running run_iprover 180 /export/starexec/sandbox2/benchmark/theBenchmark.p THM 0.05/0.31 /export/starexec/sandbox2/solver/bin/SPCForProblem: Command not found. 0.05/0.32 Running first-order theorem proving 0.05/0.32 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 0.05/0.33 0.05/0.33 % ======== iProver multi-core TPTP/SMT ========= 0.05/0.33 0.05/0.33 % Detected problem language: tptp 0.09/0.34 % Proving... 0.11/1.08 % SZS status Started for theBenchmark.p 0.11/1.08 % SZS status Theorem for theBenchmark.p 0.11/1.08 0.11/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------% 0.11/1.08 0.11/1.08 % ------ iProver source info 0.11/1.08 0.11/1.08 % git: date: 2026-07-19 20:42:38 +0200 0.11/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61 0.11/1.08 % git: non_committed_changes: false 0.11/1.08 0.11/1.08 % ------ Parsing... 0.11/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...% 0.11/1.08 0.11/1.08 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e % 0.11/1.08 0.11/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % 0.11/1.08 0.11/1.08 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 0.11/1.08 % ------ Proving... 0.11/1.08 % ------ Problem Properties 0.11/1.08 0.11/1.08 % 0.11/1.08 % clauses 74 0.11/1.08 % conjectures 3 0.11/1.08 % EPR 68 0.11/1.08 % Horn 68 0.11/1.08 % unary 60 0.11/1.08 % binary 3 0.11/1.08 % lits 102 0.11/1.08 % lits eq 40 0.11/1.08 % fd_pure 0 0.11/1.08 % fd_pseudo 0 0.11/1.08 % fd_cond 3 0.11/1.08 % fd_pseudo_cond 3 0.11/1.08 % AC symbols 0 0.11/1.08 0.11/1.08 % ------ Schedule dynamic 5 is on 0.11/1.08 0.11/1.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10. 0.11/1.08 0.11/1.08 0.11/1.08 % ------ 0.11/1.08 % Current options: 0.11/1.08 % ------ 0.11/1.08 0.11/1.08 0.11/1.08 % 0.11/1.08 0.11/1.08 % ------ Proving... 0.11/1.08 % 0.11/1.08 0.11/1.08 % SZS status Theorem for theBenchmark.p 0.11/1.08 0.11/1.08 % SZS output start CNFRefutation for theBenchmark.p 0.11/1.08 0.11/1.08 fof(f5,axiom,( 0.11/1.08 ! [X0,X1,X2] : ((leq(X0,X1) & leq(X1,X2)) => leq(X0,X2))), 0.11/1.08 file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_trans)). 0.11/1.08 0.11/1.08 fof(f7,axiom,( 0.11/1.08 ! [X0,X1] : ((leq(X1,X0) & leq(X0,X1)) => X1 = X0)), 0.11/1.08 file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_antisym)). 0.11/1.08 0.11/1.08 fof(f9,axiom,( 0.11/1.08 ! [X0,X1] : (less(X0,X1) => leq(X0,X1))), 0.11/1.08 file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',less_implies_leq)). 0.11/1.08 0.11/1.08 fof(f14,axiom,( 0.11/1.08 ! [X0,X1,X2] : (in_lopen(X0,X1,X2) <=> (leq(X0,X2) & less(X1,X0)))), 0.11/1.08 file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',in_lopen)). 0.11/1.08 0.11/1.08 fof(f37,conjecture,( 0.11/1.08 ~ ? [X0,X1,X2] : (in_lopen(X0,v0,v600) & in_lopen(X2,v0,v32) & leq(v8,X2) & leq(v200,X1) & in_lopen(X1,v0,v800) & leq(v1200,X0))), 0.11/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl341)). 0.11/1.08 0.11/1.08 fof(f38,negated_conjecture,( 0.11/1.08 ~ ~ ? [X0,X1,X2] : (in_lopen(X0,v0,v600) & in_lopen(X2,v0,v32) & leq(v8,X2) & leq(v200,X1) & in_lopen(X1,v0,v800) & leq(v1200,X0))), 0.11/1.08 inference(negated_conjecture,[status(cth)],[f37])). 0.11/1.08 0.11/1.08 fof(f48,axiom,( 0.11/1.08 less(v600,v1200)), 0.11/1.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v600_v1200)). 0.11/1.08 0.11/1.08 fof(f59,plain,( 0.11/1.08 v1200 != v800 & v1200 != v600 & v800 != v600 & v200 != v1200 & v200 != v800 & v200 != v600 & v1200 != v32 & v32 != v800 & v32 != v600 & v200 != v32 & v1200 != v8 & v800 != v8 & v600 != v8 & v200 != v8 & v32 != v8 & v0 != v1200 & v0 != v800 & v0 != v600 & v200 != v0 & v0 != v32 & v0 != v8), 0.11/1.08 introduced(definition,[],[distinctness_axiom])). 0.11/1.08 fof(f60,plain,( 0.11/1.08 ? [X0,X1,X2] : (in_lopen(X0,v0,v600) & in_lopen(X2,v0,v32) & leq(v8,X2) & leq(v200,X1) & in_lopen(X1,v0,v800) & leq(v1200,X0))), 0.11/1.08 inference(flattening,[],[f38])). 0.11/1.08 0.11/1.08 fof(f61,plain,( 0.11/1.08 ! [X0,X1,X2] : (in_lopen(X0,X1,X2) => (leq(X0,X2) & less(X1,X0)))), 0.11/1.08 inference(unused_predicate_definition_removal,[],[f14])). 0.11/1.08 0.11/1.08 fof(f73,plain,( 0.11/1.08 ! [X0,X1,X2] : (leq(X0,X2) | (~leq(X0,X1) | ~leq(X1,X2)))), 0.11/1.08 inference(ennf_transformation,[],[f5])). 0.11/1.08 0.11/1.08 fof(f74,plain,( 0.11/1.08 ! [X0,X1,X2] : (leq(X0,X2) | ~leq(X0,X1) | ~leq(X1,X2))), 0.11/1.08 inference(flattening,[],[f73])). 0.11/1.08 0.11/1.08 fof(f77,plain,( 0.11/1.08 ! [X0,X1] : (X1 = X0 | (~leq(X1,X0) | ~leq(X0,X1)))), 0.11/1.08 inference(ennf_transformation,[],[f7])). 0.11/1.08 0.11/1.08 fof(f78,plain,( 0.11/1.08 ! [X0,X1] : (X1 = X0 | ~leq(X1,X0) | ~leq(X0,X1))), 0.11/1.08 inference(flattening,[],[f77])). 0.11/1.08 0.11/1.08 fof(f79,plain,( 0.11/1.08 ! [X0,X1] : (leq(X0,X1) | ~less(X0,X1))), 0.11/1.08 inference(ennf_transformation,[],[f9])). 0.11/1.08 0.11/1.08 fof(f82,plain,( 0.11/1.08 ! [X0,X1,X2] : ((leq(X0,X2) & less(X1,X0)) | ~in_lopen(X0,X1,X2))), 0.11/1.08 inference(ennf_transformation,[],[f61])). 0.11/1.08 0.11/1.08 fof(f93,plain,( 0.11/1.08 in_lopen(sK0,v0,v600) & in_lopen(sK2,v0,v32) & leq(v8,sK2) & leq(v200,sK1) & in_lopen(sK1,v0,v800) & leq(v1200,sK0)), 0.11/1.08 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f60])). 0.11/1.08 0.11/1.08 fof(f113,plain,( 0.11/1.08 v1200 != v600), 0.11/1.08 inference(cnf_transformation,[],[f59])). 0.11/1.08 0.11/1.08 fof(f121,plain,( 0.11/1.08 ( ! [X2,X0,X1] : (leq(X0,X2) | ~leq(X0,X1) | ~leq(X1,X2)) )), 0.11/1.08 inference(cnf_transformation,[],[f74])). 0.11/1.08 0.11/1.08 fof(f123,plain,( 0.11/1.08 ( ! [X0,X1] : (X0 = X1 | ~leq(X1,X0) | ~leq(X0,X1)) )), 0.11/1.08 inference(cnf_transformation,[],[f78])). 0.11/1.08 0.11/1.08 fof(f125,plain,( 0.11/1.08 ( ! [X0,X1] : (leq(X0,X1) | ~less(X0,X1)) )), 0.11/1.08 inference(cnf_transformation,[],[f79])). 0.11/1.08 0.11/1.08 fof(f131,plain,( 0.11/1.08 ( ! [X2,X0,X1] : (leq(X0,X2) | ~in_lopen(X0,X1,X2)) )), 0.11/1.08 inference(cnf_transformation,[],[f82])). 0.11/1.08 0.11/1.08 fof(f147,plain,( 0.11/1.08 leq(v1200,sK0)), 0.11/1.08 inference(cnf_transformation,[],[f93])). 0.11/1.08 0.11/1.08 fof(f152,plain,( 0.11/1.08 in_lopen(sK0,v0,v600)), 0.11/1.08 inference(cnf_transformation,[],[f93])). 0.11/1.08 0.11/1.08 fof(f160,plain,( 0.11/1.08 less(v600,v1200)), 0.11/1.08 inference(cnf_transformation,[],[f48])). 0.11/1.08 0.11/1.08 tcf(c_50,plain, (v1200 != v600),inference(cnf_transformation,[],[f113])). 0.11/1.08 0.11/1.08 tcf(c_76,plain,![X0:$i,X1:$i,X2:$i]: 0.11/1.08 (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2)), 0.11/1.08 inference(cnf_transformation,[],[f121])). 0.11/1.08 0.11/1.08 tcf(c_78,plain,![X0:$i,X1:$i]: 0.11/1.08 (~leq(X0,X1)|~leq(X1,X0)|X0 = X1), 0.11/1.08 inference(cnf_transformation,[],[f123])). 0.11/1.08 0.11/1.08 tcf(c_80,plain,![X0:$i,X1:$i]: 0.11/1.08 (~less(X0,X1)|leq(X0,X1)), 0.11/1.08 inference(cnf_transformation,[],[f125])). 0.11/1.08 0.11/1.08 tcf(c_85,plain,![X0:$i,X1:$i,X2:$i]: 0.11/1.08 (~in_lopen(X0,X1,X2)|leq(X0,X2)), 0.11/1.08 inference(cnf_transformation,[],[f131])). 0.11/1.08 0.11/1.08 tcf(c_102,negated_conjecture, 0.11/1.08 (in_lopen(sK0,v0,v600)), 0.11/1.08 inference(cnf_transformation,[],[f152])). 0.11/1.08 0.11/1.08 tcf(c_107,negated_conjecture, 0.11/1.08 (leq(v1200,sK0)), 0.11/1.08 inference(cnf_transformation,[],[f147])). 0.11/1.08 0.11/1.08 tcf(c_115,plain, (less(v600,v1200)),inference(cnf_transformation,[],[f160])). 0.11/1.08 0.11/1.08 tcf(c_453,plain,![X0:$i,X1:$i,X2:$i]: 0.11/1.08 (X0 != sK0|X1 != v0|X2 != v600|leq(X0,X2)), 0.11/1.08 inference(resolution_lifted,[status(thm)],[c_85,c_102])). 0.11/1.08 0.11/1.08 tcf(c_454,plain, 0.11/1.08 (leq(sK0,v600)), 0.11/1.08 inference(unflattening,[status(thm)],[c_453])). 0.11/1.08 0.11/1.08 tcf(c_488,plain, 0.11/1.08 (leq(sK0,v600)), 0.11/1.08 inference(demodulation,[status(thm)],[c_454])). 0.11/1.08 0.11/1.08 tcf(c_490,negated_conjecture, 0.11/1.08 (leq(v1200,sK0)), 0.11/1.08 inference(demodulation,[status(thm)],[c_107])). 0.11/1.08 0.11/1.08 tcf(c_1000,plain, 0.11/1.08 (leq(v600,v1200)), 0.11/1.08 inference(superposition,[status(thm)],[c_115,c_80])). 0.11/1.08 0.11/1.08 tcf(c_1330,plain,![X0:$i]: 0.11/1.08 (~leq(X0,v1200)|leq(X0,sK0)), 0.11/1.08 inference(superposition,[status(thm)],[c_490,c_76])). 0.11/1.08 0.11/1.08 tcf(c_1511,plain, 0.11/1.08 (leq(v600,sK0)), 0.11/1.08 inference(superposition,[status(thm)],[c_1000,c_1330])). 0.11/1.08 0.11/1.08 tcf(c_1687,plain, 0.11/1.08 (~leq(sK0,v1200)|v1200 = sK0), 0.11/1.08 inference(superposition,[status(thm)],[c_490,c_78])). 0.11/1.08 0.11/1.08 tcf(c_1868,plain, 0.11/1.08 (~leq(sK0,v600)|v600 = sK0), 0.11/1.08 inference(superposition,[status(thm)],[c_1511,c_78])). 0.11/1.08 0.11/1.08 tcf(c_1874,plain, 0.11/1.08 (v600 = sK0), 0.11/1.08 inference(forward_subsumption_resolution,[status(thm)],[c_1868,c_488])). 0.11/1.08 0.11/1.08 tcf(c_1878,plain, 0.11/1.08 (~leq(v600,v1200)|v1200 = v600), 0.11/1.08 inference(demodulation,[status(thm)],[c_1687,c_1874])). 0.11/1.08 0.11/1.08 tcf(c_1889,plain, 0.11/1.08 ($false), 0.11/1.08 inference(forward_subsumption_resolution, 0.11/1.08 [status(thm)], 0.11/1.08 [c_1878,c_50,c_1000])). 0.11/1.08 0.11/1.08 0.11/1.08 % SZS output end CNFRefutation for theBenchmark.p 0.11/1.08 0.11/1.08 1.97/1.15 EOF