0.00/0.03 % 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 0.10/0.40 % Computer : n015.cluster.edu 0.10/0.40 % Model : x86_64 x86_64 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.40 % Memory : 8046.5625MB 0.10/0.40 % OS : Linux 6.8.0-71-generic 0.10/0.40 % CPULimit : 1440 0.10/0.40 % WCLimit : 180 0.10/0.40 % DateTime : Mon Jul 27 08:57:36 UTC 2026 0.10/0.40 % CPUTime : 0.10/0.40 Running run_iprover 180 /export/starexec/sandbox2/benchmark/theBenchmark.p THM 0.10/0.43 /export/starexec/sandbox2/solver/bin/SPCForProblem: Command not found. 0.10/0.43 Running first-order theorem proving 0.10/0.43 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 0.10/0.44 0.10/0.44 % ======== iProver multi-core TPTP/SMT ========= 0.10/0.44 0.10/0.45 % Detected problem language: tptp 0.14/0.46 % Proving... 0.70/1.10 % SZS status Started for theBenchmark.p 0.70/1.10 % SZS status Theorem for theBenchmark.p 0.70/1.10 0.70/1.10 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------% 0.70/1.10 0.70/1.10 % ------ iProver source info 0.70/1.10 0.70/1.10 % git: date: 2026-07-19 20:42:38 +0200 0.70/1.10 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61 0.70/1.10 % git: non_committed_changes: false 0.70/1.10 0.70/1.10 % ------ Parsing... 0.70/1.10 % ------ Clausification by vclausify_rel & Parsing by iProver...% 0.70/1.10 0.70/1.10 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e % 0.70/1.10 0.70/1.10 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % 0.70/1.10 0.70/1.10 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 0.70/1.10 % ------ Proving... 0.70/1.10 % ------ Problem Properties 0.70/1.10 0.70/1.10 % 0.70/1.10 % clauses 108 0.70/1.10 % conjectures 3 0.70/1.10 % EPR 102 0.70/1.10 % Horn 102 0.70/1.10 % unary 94 0.70/1.10 % binary 3 0.70/1.10 % lits 136 0.70/1.10 % lits eq 55 0.70/1.10 % fd_pure 0 0.70/1.10 % fd_pseudo 0 0.70/1.10 % fd_cond 3 0.70/1.10 % fd_pseudo_cond 3 0.70/1.10 % AC symbols 0 0.70/1.10 0.70/1.10 % ------ Schedule dynamic 5 is on 0.70/1.10 0.70/1.10 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10. 0.70/1.10 0.70/1.10 0.70/1.10 % ------ 0.70/1.10 % Current options: 0.70/1.10 % ------ 0.70/1.10 0.70/1.10 0.70/1.10 % 0.70/1.10 0.70/1.10 % ------ Proving... 0.70/1.10 % 0.70/1.10 0.70/1.10 % SZS status Theorem for theBenchmark.p 0.70/1.10 0.70/1.10 % SZS output start CNFRefutation for theBenchmark.p 0.70/1.10 0.70/1.10 fof(f7,axiom,( 0.70/1.10 ! [X0,X1] : ((leq(X1,X0) & leq(X0,X1)) => X1 = X0)), 0.70/1.10 file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_antisym)). 0.70/1.10 0.70/1.10 fof(f9,axiom,( 0.70/1.10 ! [X0,X1] : (less(X0,X1) => leq(X0,X1))), 0.70/1.10 file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',less_implies_leq)). 0.70/1.10 0.70/1.10 fof(f20,axiom,( 0.70/1.10 ! [X0,X1,X2] : ((leq(X0,X2) & leq(X1,X0)) <=> in_closed(X0,X1,X2))), 0.70/1.10 file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',in_closed)). 0.70/1.10 0.70/1.10 fof(f41,conjecture,( 0.70/1.10 ~ ? [X0,X1,X2,X3] : (in_closed(X0,v800,v800) & less(v100,X1) & in_open(X1,v0,v500) & in_lopen(X2,v0,v32) & in_lopen(X3,v0,v300) & leq(v150,X3) & leq(v8,X2) & in_closed(X0,v600,v600))), 0.70/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl365)). 0.70/1.10 0.70/1.10 fof(f42,negated_conjecture,( 0.70/1.10 ~ ~ ? [X0,X1,X2,X3] : (in_closed(X0,v800,v800) & less(v100,X1) & in_open(X1,v0,v500) & in_lopen(X2,v0,v32) & in_lopen(X3,v0,v300) & leq(v150,X3) & leq(v8,X2) & in_closed(X0,v600,v600))), 0.70/1.10 inference(negated_conjecture,[status(cth)],[f41])). 0.70/1.10 0.70/1.10 fof(f47,axiom,( 0.70/1.10 less(v600,v800)), 0.70/1.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v600_v800)). 0.70/1.10 0.70/1.10 fof(f76,plain,( 0.70/1.10 v800 != v600 & v800 != v500 & v600 != v500 & v800 != v300 & v300 != v600 & v300 != v500 & v800 != v150 & v600 != v150 & v150 != v500 & v300 != v150 & v100 != v800 & v100 != v600 & v100 != v500 & v100 != v300 & v100 != v150 & v800 != v32 & v600 != v32 & v32 != v500 & v300 != v32 & v150 != v32 & v100 != v32 & v800 != v8 & v8 != v600 & v8 != v500 & v8 != v300 & v8 != v150 & v100 != v8 & v8 != v32 & v800 != v0 & v0 != v600 & v0 != v500 & v0 != v300 & v0 != v150 & v100 != v0 & v0 != v32 & v0 != v8), 0.70/1.10 introduced(definition,[],[distinctness_axiom])). 0.70/1.10 fof(f77,plain,( 0.70/1.10 ? [X0,X1,X2,X3] : (in_closed(X0,v800,v800) & less(v100,X1) & in_open(X1,v0,v500) & in_lopen(X2,v0,v32) & in_lopen(X3,v0,v300) & leq(v150,X3) & leq(v8,X2) & in_closed(X0,v600,v600))), 0.70/1.10 inference(flattening,[],[f42])). 0.70/1.10 0.70/1.10 fof(f80,plain,( 0.70/1.10 ! [X0,X1,X2] : (in_closed(X0,X1,X2) => (leq(X0,X2) & leq(X1,X0)))), 0.70/1.10 inference(unused_predicate_definition_removal,[],[f20])). 0.70/1.10 0.70/1.10 fof(f98,plain,( 0.70/1.10 ! [X0,X1] : (X1 = X0 | (~leq(X1,X0) | ~leq(X0,X1)))), 0.70/1.10 inference(ennf_transformation,[],[f7])). 0.70/1.10 0.70/1.10 fof(f99,plain,( 0.70/1.10 ! [X0,X1] : (X1 = X0 | ~leq(X1,X0) | ~leq(X0,X1))), 0.70/1.10 inference(flattening,[],[f98])). 0.70/1.10 0.70/1.10 fof(f100,plain,( 0.70/1.10 ! [X0,X1] : (leq(X0,X1) | ~less(X0,X1))), 0.70/1.10 inference(ennf_transformation,[],[f9])). 0.70/1.10 0.70/1.10 fof(f111,plain,( 0.70/1.10 ! [X0,X1,X2] : ((leq(X0,X2) & leq(X1,X0)) | ~in_closed(X0,X1,X2))), 0.70/1.10 inference(ennf_transformation,[],[f80])). 0.70/1.10 0.70/1.10 fof(f116,plain,( 0.70/1.10 in_closed(sK0,v800,v800) & less(v100,sK1) & in_open(sK1,v0,v500) & in_lopen(sK2,v0,v32) & in_lopen(sK3,v0,v300) & leq(v150,sK3) & leq(v8,sK2) & in_closed(sK0,v600,v600)), 0.70/1.10 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f77])). 0.70/1.10 0.70/1.10 fof(f152,plain,( 0.70/1.10 v800 != v600), 0.70/1.10 inference(cnf_transformation,[],[f76])). 0.70/1.10 0.70/1.10 fof(f161,plain,( 0.70/1.10 ( ! [X0,X1] : (X0 = X1 | ~leq(X1,X0) | ~leq(X0,X1)) )), 0.70/1.10 inference(cnf_transformation,[],[f99])). 0.70/1.10 0.70/1.10 fof(f163,plain,( 0.70/1.10 ( ! [X0,X1] : (leq(X0,X1) | ~less(X0,X1)) )), 0.70/1.10 inference(cnf_transformation,[],[f100])). 0.70/1.10 0.70/1.10 fof(f175,plain,( 0.70/1.10 ( ! [X2,X0,X1] : (leq(X1,X0) | ~in_closed(X0,X1,X2)) )), 0.70/1.10 inference(cnf_transformation,[],[f111])). 0.70/1.10 0.70/1.10 fof(f176,plain,( 0.70/1.10 ( ! [X2,X0,X1] : (leq(X0,X2) | ~in_closed(X0,X1,X2)) )), 0.70/1.10 inference(cnf_transformation,[],[f111])). 0.70/1.10 0.70/1.10 fof(f195,plain,( 0.70/1.10 in_closed(sK0,v600,v600)), 0.70/1.10 inference(cnf_transformation,[],[f116])). 0.70/1.10 0.70/1.10 fof(f202,plain,( 0.70/1.10 in_closed(sK0,v800,v800)), 0.70/1.10 inference(cnf_transformation,[],[f116])). 0.70/1.10 0.70/1.10 fof(f207,plain,( 0.70/1.10 less(v600,v800)), 0.70/1.10 inference(cnf_transformation,[],[f47])). 0.70/1.10 0.70/1.10 tcf(c_49,plain, (v800 != v600),inference(cnf_transformation,[],[f152])). 0.70/1.10 0.70/1.10 tcf(c_93,plain,![X0:$i,X1:$i]: 0.70/1.10 (~leq(X0,X1)|~leq(X1,X0)|X0 = X1), 0.70/1.10 inference(cnf_transformation,[],[f161])). 0.70/1.10 0.70/1.10 tcf(c_95,plain,![X0:$i,X1:$i]: 0.70/1.10 (~less(X0,X1)|leq(X0,X1)), 0.70/1.10 inference(cnf_transformation,[],[f163])). 0.70/1.10 0.70/1.10 tcf(c_107,plain,![X0:$i,X1:$i,X2:$i]: 0.70/1.10 (~in_closed(X0,X1,X2)|leq(X0,X2)), 0.70/1.10 inference(cnf_transformation,[],[f176])). 0.70/1.10 0.70/1.10 tcf(c_108,plain,![X0:$i,X1:$i,X2:$i]: 0.70/1.10 (~in_closed(X0,X1,X2)|leq(X1,X0)), 0.70/1.10 inference(cnf_transformation,[],[f175])). 0.70/1.10 0.70/1.10 tcf(c_127,negated_conjecture, 0.70/1.10 (in_closed(sK0,v800,v800)), 0.70/1.10 inference(cnf_transformation,[],[f202])). 0.70/1.10 0.70/1.10 tcf(c_134,negated_conjecture, 0.70/1.10 (in_closed(sK0,v600,v600)), 0.70/1.10 inference(cnf_transformation,[],[f195])). 0.70/1.10 0.70/1.10 tcf(c_139,plain, (less(v600,v800)),inference(cnf_transformation,[],[f207])). 0.70/1.10 0.70/1.10 tcf(c_623,plain,![X0:$i,X1:$i,X2:$i]: 0.70/1.10 (X0 != sK0|X1 != v800|X2 != v800|leq(X1,X0)), 0.70/1.10 inference(resolution_lifted,[status(thm)],[c_108,c_127])). 0.70/1.10 0.70/1.10 tcf(c_624,plain, 0.70/1.10 (leq(v800,sK0)), 0.70/1.10 inference(unflattening,[status(thm)],[c_623])). 0.70/1.10 0.70/1.10 tcf(c_633,plain,![X0:$i,X1:$i,X2:$i]: 0.70/1.10 (X0 != sK0|X1 != v600|X2 != v600|leq(X1,X0)), 0.70/1.10 inference(resolution_lifted,[status(thm)],[c_108,c_134])). 0.70/1.10 0.70/1.10 tcf(c_634,plain, 0.70/1.10 (leq(v600,sK0)), 0.70/1.10 inference(unflattening,[status(thm)],[c_633])). 0.70/1.10 0.70/1.10 tcf(c_638,plain,![X0:$i,X1:$i,X2:$i]: 0.70/1.10 (X0 != sK0|X1 != v600|X2 != v600|leq(X0,X2)), 0.70/1.10 inference(resolution_lifted,[status(thm)],[c_107,c_134])). 0.70/1.10 0.70/1.10 tcf(c_639,plain, 0.70/1.10 (leq(sK0,v600)), 0.70/1.10 inference(unflattening,[status(thm)],[c_638])). 0.70/1.10 0.70/1.10 tcf(c_1008,plain, 0.70/1.10 (leq(sK0,v600)), 0.70/1.10 inference(demodulation,[status(thm)],[c_639])). 0.70/1.10 0.70/1.10 tcf(c_1009,plain, 0.70/1.10 (leq(v600,sK0)), 0.70/1.10 inference(demodulation,[status(thm)],[c_634])). 0.70/1.10 0.70/1.10 tcf(c_1011,plain, 0.70/1.10 (leq(v800,sK0)), 0.70/1.10 inference(demodulation,[status(thm)],[c_624])). 0.70/1.10 0.70/1.10 tcf(c_1668,plain, 0.70/1.10 (leq(v600,v800)), 0.70/1.10 inference(superposition,[status(thm)],[c_139,c_95])). 0.70/1.10 0.70/1.10 tcf(c_2602,plain, 0.70/1.10 (~leq(v600,sK0)|v600 = sK0), 0.70/1.10 inference(superposition,[status(thm)],[c_1008,c_93])). 0.70/1.10 0.70/1.10 tcf(c_2648,plain, 0.70/1.10 (v600 = sK0), 0.70/1.10 inference(forward_subsumption_resolution,[status(thm)],[c_2602,c_1009])). 0.70/1.10 0.70/1.10 tcf(c_2658,plain, 0.70/1.10 (leq(v800,v600)), 0.70/1.10 inference(demodulation,[status(thm)],[c_1011,c_2648])). 0.70/1.10 0.70/1.10 tcf(c_2798,plain, 0.70/1.10 (~leq(v800,v600)|v800 = v600), 0.70/1.10 inference(superposition,[status(thm)],[c_1668,c_93])). 0.70/1.10 0.70/1.10 tcf(c_2802,plain, 0.70/1.10 (~leq(v800,v600)), 0.70/1.10 inference(forward_subsumption_resolution,[status(thm)],[c_2798,c_49])). 0.70/1.10 0.70/1.10 tcf(c_2803,plain, 0.70/1.10 ($false), 0.70/1.10 inference(prop_impl_just,[status(thm)],[c_2802,c_2658])). 0.70/1.10 0.70/1.10 0.70/1.10 % SZS output end CNFRefutation for theBenchmark.p 0.70/1.10 0.70/1.10 2.91/1.22 EOF