0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : run_iprover 180 /export/starexec/sandbox2/benchmark/theBenchmark.p THM 0.14/0.42 % Computer : n016.cluster.edu 0.14/0.42 % Model : x86_64 x86_64 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.42 % Memory : 8046.5625MB 0.14/0.42 % OS : Linux 6.8.0-71-generic 0.14/0.42 % CPULimit : 1440 0.14/0.42 % WCLimit : 180 0.14/0.42 % DateTime : Mon Jul 27 09:26:37 UTC 2026 0.14/0.42 % CPUTime : 0.14/0.42 Running run_iprover 180 /export/starexec/sandbox2/benchmark/theBenchmark.p THM 0.14/0.47 /export/starexec/sandbox2/solver/bin/SPCForProblem: Command not found. 0.14/0.48 Running first-order theorem proving 0.14/0.48 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 0.14/0.50 0.14/0.50 % ======== iProver multi-core TPTP/SMT ========= 0.14/0.50 0.14/0.50 % Detected problem language: tptp 0.23/0.52 % Proving... 3.54/1.40 % SZS status Started for theBenchmark.p 3.54/1.40 % SZS status Theorem for theBenchmark.p 3.54/1.40 3.54/1.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------% 3.54/1.40 3.54/1.40 % ------ iProver source info 3.54/1.40 3.54/1.40 % git: date: 2026-07-19 20:42:38 +0200 3.54/1.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61 3.54/1.40 % git: non_committed_changes: false 3.54/1.40 3.54/1.40 % ------ Parsing... 3.54/1.40 % ------ Clausification by vclausify_rel & Parsing by iProver...% 3.54/1.40 3.54/1.40 % ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e % 3.54/1.40 3.54/1.40 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % 3.54/1.40 3.54/1.40 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 3.54/1.40 % ------ Proving... 3.54/1.40 % ------ Problem Properties 3.54/1.40 3.54/1.40 % 3.54/1.40 % clauses 28 3.54/1.40 % conjectures 1 3.54/1.40 % EPR 7 3.54/1.40 % Horn 25 3.54/1.40 % unary 17 3.54/1.40 % binary 9 3.54/1.40 % lits 41 3.54/1.40 % lits eq 21 3.54/1.40 % fd_pure 0 3.54/1.40 % fd_pseudo 0 3.54/1.40 % fd_cond 0 3.54/1.40 % fd_pseudo_cond 2 3.54/1.40 % AC symbols 2 3.54/1.40 3.54/1.40 % ------ Input Options Time Limit: Unbounded 3.54/1.40 3.54/1.40 3.54/1.40 % ------ 3.54/1.40 % Current options: 3.54/1.40 % ------ 3.54/1.40 3.54/1.40 3.54/1.40 % 3.54/1.40 3.54/1.40 % ------ Proving... 3.54/1.40 % 3.54/1.40 3.54/1.40 % SZS status Theorem for theBenchmark.p 3.54/1.40 3.54/1.40 % SZS output start CNFRefutation for theBenchmark.p 3.54/1.40 3.54/1.40 fof(f47,plain,( 3.54/1.40 ! [X0,X1,X2] : (greater(vmul(X1,X0),vmul(X2,X0)) | ~greater(X1,X2))), 3.54/1.40 inference(ennf_transformation,[],[f20])). 3.54/1.40 3.54/1.40 fof(f48,plain,( 3.54/1.40 ! [X0,X1] : (less(X1,X0) | ~greater(X0,X1))), 3.54/1.40 inference(ennf_transformation,[],[f21])). 3.54/1.40 3.54/1.40 fof(f55,plain,( 3.54/1.40 ! [X0,X1] : (X1 = X0 | vplus(X0,sK0(X0,X1)) = X1 | vplus(X1,sK1(X0,X1)) = X0)), 3.54/1.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f6])). 3.54/1.40 3.54/1.40 fof(f56,plain,( 3.54/1.40 ! [X0,X1] : ((greater(X1,X0) | ! [X2] : vplus(X0,X2) != X1) & (? [X2] : X1 = vplus(X0,X2) | ~greater(X1,X0)))), 3.54/1.40 inference(nnf_transformation,[],[f31])). 3.54/1.40 3.54/1.40 fof(f57,plain,( 3.54/1.40 ! [X0,X1] : ((greater(X1,X0) | ! [X2] : vplus(X0,X2) != X1) & (? [X3] : vplus(X0,X3) = X1 | ~greater(X1,X0)))), 3.54/1.40 inference(rectify,[],[f56])). 3.54/1.40 3.54/1.40 fof(f58,plain,( 3.54/1.40 ! [X0,X1] : ((greater(X1,X0) | ! [X2] : vplus(X0,X2) != X1) & (vplus(X0,sK2(X0,X1)) = X1 | ~greater(X1,X0)))), 3.54/1.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1))],[f57])). 3.54/1.40 3.54/1.40 fof(f65,plain,( 3.54/1.40 greater(vmul(vd486,vd487),vmul(vd488,vd487))), 3.54/1.40 inference(cnf_transformation,[],[f4])). 3.54/1.40 3.54/1.40 fof(f67,plain,( 3.54/1.40 ( ! [X0,X1] : (X0 = X1 | vplus(X0,sK0(X0,X1)) = X1 | vplus(X1,sK1(X0,X1)) = X0) )), 3.54/1.40 inference(cnf_transformation,[],[f55])). 3.54/1.40 3.54/1.40 fof(f69,plain,( 3.54/1.40 ~greater(vd486,vd488)), 3.54/1.40 inference(cnf_transformation,[],[f39])). 3.54/1.40 3.54/1.40 fof(f71,plain,( 3.54/1.40 ( ! [X0,X1] : (~greater(X0,X1) | ~less(X0,X1)) )), 3.54/1.40 inference(cnf_transformation,[],[f11])). 3.54/1.40 3.54/1.40 fof(f80,plain,( 3.54/1.40 ( ! [X2,X0,X1] : (greater(vmul(X1,X0),vmul(X2,X0)) | ~greater(X1,X2)) )), 3.54/1.40 inference(cnf_transformation,[],[f47])). 3.54/1.40 3.54/1.40 fof(f81,plain,( 3.54/1.40 ( ! [X0,X1] : (less(X1,X0) | ~greater(X0,X1)) )), 3.54/1.40 inference(cnf_transformation,[],[f48])). 3.54/1.40 3.54/1.40 fof(f93,plain,( 3.54/1.40 ( ! [X2,X0,X1] : (greater(X1,X0) | vplus(X0,X2) != X1) )), 3.54/1.40 inference(cnf_transformation,[],[f58])). 3.54/1.40 3.54/1.40 fof(f116,plain,( 3.54/1.40 ( ! [X2,X0] : (greater(vplus(X0,X2),X0)) )), 3.54/1.40 inference(equality_resolution,[],[f93])). 3.54/1.40 3.54/1.40 tcf(c_51,plain, 3.54/1.40 (greater(vmul(vd486,vd487),vmul(vd488,vd487))), 3.54/1.40 inference(cnf_transformation,[],[f65])). 3.54/1.40 3.54/1.40 tcf(c_53,plain,![X0:$i,X1:$i]: 3.54/1.40 (vplus(X0,sK1(X1,X0)) = X1|vplus(X1,sK0(X1,X0)) = X0|X0 = X1), 3.54/1.40 inference(cnf_transformation,[],[f67])). 3.54/1.40 3.54/1.40 tcf(c_55,negated_conjecture, 3.54/1.40 (~greater(vd486,vd488)), 3.54/1.40 inference(cnf_transformation,[],[f69])). 3.54/1.40 3.54/1.40 tcf(c_57,plain,![X0:$i,X1:$i]: 3.54/1.40 (~greater(X0,X1)|~less(X0,X1)), 3.54/1.40 inference(cnf_transformation,[],[f71])). 3.54/1.40 3.54/1.40 tcf(c_65,plain,![X0:$i,X1:$i,X2:$i]: 3.54/1.40 (~greater(X0,X1)|greater(vmul(X0,X2),vmul(X1,X2))), 3.54/1.40 inference(cnf_transformation,[],[f80])). 3.54/1.40 3.54/1.40 tcf(c_66,plain,![X0:$i,X1:$i]: 3.54/1.40 (~greater(X0,X1)|less(X1,X0)), 3.54/1.40 inference(cnf_transformation,[],[f81])). 3.54/1.40 3.54/1.40 tcf(c_77,plain,![X0:$i,X1:$i]: 3.54/1.40 (greater(vplus(X0,X1),X0)), 3.54/1.40 inference(cnf_transformation,[],[f116])). 3.54/1.40 3.54/1.40 tcf(c_556,plain, 3.54/1.40 (~less(vmul(vd486,vd487),vmul(vd488,vd487))), 3.54/1.40 inference(superposition,[status(thm)],[c_51,c_57])). 3.54/1.40 3.54/1.40 tcf(c_560,plain,![X0:$i,X1:$i,X2:$i]: 3.54/1.40 (~less(vmul(X0,X1),vmul(X2,X1))|~greater(X0,X2)), 3.54/1.40 inference(superposition,[status(thm)],[c_65,c_57])). 3.54/1.40 3.54/1.40 tcf(c_566,plain, 3.54/1.40 (less(vmul(vd488,vd487),vmul(vd486,vd487))), 3.54/1.40 inference(superposition,[status(thm)],[c_51,c_66])). 3.54/1.40 3.54/1.40 tcf(c_572,plain,![X0:$i,X1:$i]: 3.54/1.40 (vplus(X0,sK0(X0,X1)) = X1|X0 = X1|greater(X0,X1)), 3.54/1.40 inference(superposition,[status(thm)],[c_53,c_77])). 3.54/1.40 3.54/1.40 tcf(c_618,plain, 3.54/1.40 (~greater(vd488,vd486)), 3.54/1.40 inference(superposition,[status(thm)],[c_566,c_560])). 3.54/1.40 3.54/1.40 tcf(c_632,plain, 3.54/1.40 (vplus(vd486,sK0(vd486,vd488)) = vd488|vd486 = vd488), 3.54/1.40 inference(superposition,[status(thm)],[c_572,c_55])). 3.54/1.40 3.54/1.40 tcf(c_660,plain, 3.54/1.40 (vd486 = vd488|greater(vd488,vd486)), 1.43/1.40 inference(superposition,[status(thm)],[c_632,c_77])). 1.43/1.40 1.43/1.40 tcf(c_661,plain, 1.43/1.40 (vd486 = vd488), 1.43/1.40 inference(global_subsumption_just,[status(thm)],[c_660,c_618,c_660])). 1.43/1.40 1.43/1.40 tcf(c_667,plain, 1.43/1.40 (less(vmul(vd486,vd487),vmul(vd486,vd487))), 1.43/1.40 inference(superposition,[status(thm)],[c_661,c_566])). 1.43/1.40 1.43/1.40 tcf(c_668,plain, 1.43/1.40 (~less(vmul(vd486,vd487),vmul(vd486,vd487))), 1.43/1.40 inference(superposition,[status(thm)],[c_661,c_556])). 1.43/1.40 1.43/1.40 tcf(c_671,plain, 1.43/1.40 ($false), 1.43/1.40 inference(prop_impl_just,[status(thm)],[c_668,c_667])). 1.43/1.40 1.43/1.40 1.43/1.40 % SZS output end CNFRefutation for theBenchmark.p 1.43/1.40 1.43/1.40 4.70/1.61 EOF