0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_iprover 180 /export/starexec/sandbox/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 09:55:51 UTC 2026 0.10/0.35 % CPUTime : 0.10/0.35 Running run_iprover 180 /export/starexec/sandbox/benchmark/theBenchmark.p THM 0.10/0.38 /export/starexec/sandbox/solver/bin/SPCForProblem: Command not found. 0.14/0.39 Running first-order theorem proving 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.40 0.14/0.40 % ======== iProver multi-core TPTP/SMT ========= 0.14/0.40 0.14/0.40 % Detected problem language: tptp 0.14/0.41 % Proving... 502.89/147.27 % SZS status Started for theBenchmark.p 502.89/147.27 % SZS status Theorem for theBenchmark.p 502.89/147.27 502.89/147.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------% 502.89/147.27 502.89/147.27 % ------ iProver source info 502.89/147.27 502.89/147.27 % git: date: 2026-07-19 20:42:38 +0200 502.89/147.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61 502.89/147.27 % git: non_committed_changes: false 502.89/147.27 502.89/147.27 % ------ Parsing... 502.89/147.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% 502.89/147.27 502.89/147.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e % 502.89/147.27 502.89/147.27 % ------ Preprocessing... 502.89/147.27 % ------ Proving... 502.89/147.27 % ------ Problem Properties 502.89/147.27 502.89/147.27 % 502.89/147.27 % clauses 3 502.89/147.27 % conjectures 1 502.89/147.27 % EPR 0 502.89/147.27 % Horn 3 502.89/147.27 % unary 2 502.89/147.27 % binary 0 502.89/147.27 % lits 5 502.89/147.27 % lits eq 0 502.89/147.27 % fd_pure 0 502.89/147.27 % fd_pseudo 0 502.89/147.27 % fd_cond 0 502.89/147.27 % fd_pseudo_cond 0 502.89/147.27 % AC symbols 0 502.89/147.27 502.89/147.27 % ------ Input Options Time Limit: Unbounded 502.89/147.27 502.89/147.27 502.89/147.27 % ------ 502.89/147.27 % Current options: 502.89/147.27 % ------ 502.89/147.27 502.89/147.27 502.89/147.27 % 502.89/147.27 502.89/147.27 % ------ Proving... 502.89/147.27 % 502.89/147.27 502.89/147.27 % SZS status Theorem for theBenchmark.p 502.89/147.27 502.89/147.27 % SZS output start CNFRefutation for theBenchmark.p 502.89/147.27 502.89/147.27 fof(f1,axiom,( 502.89/147.27 ! [X0,X1] : ((is_a_theorem(X0) & is_a_theorem(implies(X0,X1))) => is_a_theorem(X1))), 502.89/147.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)). 502.89/147.27 502.89/147.27 fof(f2,conjecture,( 502.89/147.27 is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), 502.89/147.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3)). 502.89/147.27 502.89/147.27 fof(f3,negated_conjecture,( 502.89/147.27 ~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), 502.89/147.27 inference(negated_conjecture,[status(cth)],[f2])). 502.89/147.27 502.89/147.27 fof(f4,axiom,( 502.89/147.27 ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14))), 502.89/147.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',f2)). 502.89/147.27 502.89/147.27 fof(f5,plain,( 502.89/147.27 ~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), 502.89/147.27 inference(flattening,[],[f3])). 502.89/147.27 502.89/147.27 fof(f6,plain,( 502.89/147.27 ! [X0,X1] : (is_a_theorem(X1) | (~is_a_theorem(X0) | ~is_a_theorem(implies(X0,X1))))), 502.89/147.27 inference(ennf_transformation,[],[f1])). 502.89/147.27 502.89/147.27 fof(f7,plain,( 502.89/147.27 ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(X0) | ~is_a_theorem(implies(X0,X1)))), 502.89/147.27 inference(flattening,[],[f6])). 502.89/147.27 502.89/147.27 fof(f8,plain,( 502.89/147.27 ( ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(X0) | ~is_a_theorem(implies(X0,X1))) )), 502.89/147.27 inference(cnf_transformation,[],[f7])). 502.89/147.27 502.89/147.27 fof(f9,plain,( 502.89/147.27 ~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), 502.89/147.27 inference(cnf_transformation,[],[f5])). 502.89/147.27 502.89/147.27 fof(f10,plain,( 502.89/147.27 ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : (is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14))) )), 502.89/147.27 inference(cnf_transformation,[],[f4])). 502.89/147.27 502.89/147.27 tcf(c_49,plain,![X0:$i,X1:$i]: 502.89/147.27 (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1)), 502.89/147.27 inference(cnf_transformation,[],[f8])). 502.89/147.27 502.89/147.27 tcf(c_50,negated_conjecture, 502.89/147.27 (~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), 502.89/147.27 inference(cnf_transformation,[],[f9])). 502.89/147.27 502.89/147.27 tcf(c_51,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i,X6:$i,X7:$i,X8:$i,X9:$i,X10:$i,X11:$i,X12:$i,X13:$i,X14:$i]: 502.89/147.27 (is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14))), 502.89/147.27 inference(cnf_transformation,[],[f10])). 502.89/147.27 502.89/147.27 tcf(c_75,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i,X6:$i,X7:$i,X8:$i,X9:$i,X10:$i,X11:$i,X12:$i,X13:$i,X14:$i]: 502.89/147.27 (~is_a_theorem(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)))| 502.89/147.27 is_a_theorem(X14)), 502.89/147.27 inference(resolution,[status(thm)],[c_49,c_51])). 502.89/147.27 502.89/147.27 tcf(c_81,plain,![X0:$i,X1:$i]: 502.89/147.27 (is_a_theorem(implies(X0,implies(X1,X0)))), 502.89/147.27 inference(resolution,[status(thm)],[c_75,c_51])). 502.89/147.27 502.89/147.27 tcf(c_85,plain,![X0:$i,X1:$i]: 502.89/147.27 (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0))), 502.89/147.27 inference(resolution,[status(thm)],[c_81,c_49])). 502.89/147.27 502.89/147.27 tcf(c_87,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i]: 502.89/147.27 (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5))), 502.89/147.27 inference(resolution,[status(thm)],[c_81,c_75])). 502.89/147.27 502.89/147.27 tcf(c_97,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i,X6:$i,X7:$i,X8:$i]: 502.89/147.27 (~is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7),X8))| 502.89/147.27 is_a_theorem(X8)), 502.89/147.27 inference(resolution,[status(thm)],[c_85,c_75])). 502.89/147.27 502.89/147.27 tcf(c_126,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i]: 502.89/147.27 (~is_a_theorem(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)))| 502.89/147.27 is_a_theorem(X5)), 502.89/147.27 inference(resolution,[status(thm)],[c_87,c_49])). 502.89/147.27 502.89/147.27 tcf(c_128,plain,![X0:$i,X1:$i,X2:$i]: 502.89/147.27 (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))), 502.89/147.27 inference(resolution,[status(thm)],[c_87,c_75])). 502.89/147.27 502.89/147.27 tcf(c_140,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i,X6:$i,X7:$i,X8:$i]: 502.89/147.27 (is_a_theorem(implies(X0,implies(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X8)),X8)))), 502.89/147.27 inference(resolution,[status(thm)],[c_128,c_75])). 502.89/147.27 502.89/147.27 tcf(c_230,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i,X6:$i,X7:$i]: 502.89/147.27 (is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7))), 502.89/147.27 inference(resolution,[status(thm)],[c_140,c_97])). 502.89/147.27 502.89/147.27 tcf(c_358,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i,X6:$i,X7:$i]: 502.89/147.27 (~is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)))| 502.89/147.27 is_a_theorem(X7)), 502.89/147.27 inference(resolution,[status(thm)],[c_230,c_49])). 502.89/147.27 502.89/147.27 tcf(c_369,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i]: 502.89/147.27 (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4))), 502.89/147.27 inference(resolution,[status(thm)],[c_358,c_81])). 502.89/147.27 502.89/147.27 tcf(c_423,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i]: 502.89/147.27 (~is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)))| 502.89/147.27 is_a_theorem(X4)), 502.89/147.27 inference(resolution,[status(thm)],[c_369,c_49])). 502.89/147.27 502.89/147.27 tcf(c_426,plain,![X0:$i,X1:$i,X2:$i,X3:$i]: 502.89/147.27 (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2)))), 502.89/147.27 inference(resolution,[status(thm)],[c_369,c_126])). 502.89/147.27 502.89/147.27 tcf(c_442,plain,![X0:$i,X1:$i,X2:$i]: 502.89/147.27 (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))), 502.89/147.27 inference(resolution,[status(thm)],[c_426,c_358])). 502.89/147.27 502.89/147.27 tcf(c_452,plain,![X0:$i,X1:$i,X2:$i]: 502.89/147.27 (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))), 502.89/147.27 inference(resolution,[status(thm)],[c_442,c_49])). 502.89/147.27 502.89/147.27 tcf(c_697,plain,![X0:$i,X1:$i]: 502.89/147.27 (~is_a_theorem(implies(implies(implies(n(X0),X0),X0),X1))|is_a_theorem(X1)), 502.89/147.27 inference(resolution,[status(thm)],[c_423,c_85])). 502.89/147.27 502.89/147.27 tcf(c_705,plain,![X0:$i,X1:$i,X2:$i]: 502.89/147.27 (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))), 502.89/147.27 inference(resolution,[status(thm)],[c_423,c_426])). 502.89/147.27 502.89/147.27 tcf(c_762,plain,![X0:$i,X1:$i,X2:$i]: 502.89/147.27 (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2))), 502.89/147.27 inference(resolution,[status(thm)],[c_705,c_49])). 502.89/147.27 502.89/147.27 tcf(c_772,plain,![X0:$i,X1:$i,X2:$i]: 502.89/147.27 (is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),implies(X2,X1)))), 502.89/147.27 inference(resolution,[status(thm)],[c_705,c_423])). 502.89/147.27 502.89/147.27 tcf(c_1004,plain,![X0:$i,X1:$i,X2:$i]: 502.89/147.27 (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))), 502.89/147.27 inference(resolution,[status(thm)],[c_762,c_442])). 502.89/147.27 502.89/147.27 tcf(c_2170,plain,![X0:$i,X1:$i,X2:$i]: 502.89/147.27 (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2))), 502.89/147.27 inference(resolution,[status(thm)],[c_452,c_49])). 502.89/147.27 502.89/147.27 tcf(c_2171,plain, 502.89/147.27 (~is_a_theorem(implies(implies(y,implies(x,z)),implies(x,implies(y,z))))), 502.89/147.27 inference(resolution,[status(thm)],[c_452,c_50])). 502.89/147.27 502.89/147.27 tcf(c_2181,plain,![X0:$i,X1:$i]: 502.89/147.27 (~is_a_theorem(implies(X0,implies(n(X1),X1)))|is_a_theorem(implies(X0,X1))), 502.89/147.27 inference(resolution,[status(thm)],[c_452,c_697])). 502.89/147.27 502.89/147.27 tcf(c_3747,plain,![X0:$i,X1:$i,X2:$i,X3:$i]: 502.89/147.27 (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))), 502.89/147.27 inference(resolution,[status(thm)],[c_2170,c_442])). 502.89/147.27 502.89/147.27 tcf(c_3748,plain,![X0:$i,X1:$i,X2:$i,X3:$i]: 502.89/147.27 (~is_a_theorem(implies(X0,implies(X1,X2)))|~is_a_theorem(implies(X3,X1))| 502.89/147.27 is_a_theorem(implies(X0,implies(X3,X2)))), 502.89/147.27 inference(resolution,[status(thm)],[c_2170,c_452])). 502.89/147.27 502.89/147.27 tcf(c_3767,plain,![X0:$i,X1:$i,X2:$i,X3:$i]: 502.89/147.27 (~is_a_theorem(implies(X0,implies(implies(implies(n(X1),X1),X1),X2)))| 502.89/147.27 is_a_theorem(implies(X0,implies(X3,X2)))), 502.89/147.27 inference(resolution,[status(thm)],[c_2170,c_772])). 502.89/147.27 502.89/147.27 tcf(c_38154,plain,![X0:$i,X1:$i,X2:$i,X3:$i]: 502.89/147.27 (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2))))), 502.89/147.27 inference(resolution,[status(thm)],[c_3748,c_442])). 502.89/147.27 502.89/147.27 tcf(c_40685,plain,![X0:$i,X1:$i,X2:$i,X3:$i]: 502.89/147.27 (~is_a_theorem(implies(X0,implies(X1,implies(n(X2),X2))))|is_a_theorem(implies(X0,implies(X3,implies(X1,X2))))), 502.89/147.27 inference(resolution,[status(thm)],[c_3767,c_3747])). 502.89/147.27 502.89/147.27 tcf(c_539656,plain, 502.89/147.27 (~is_a_theorem(implies(x,implies(implies(x,z),z)))), 502.89/147.27 inference(resolution,[status(thm)],[c_38154,c_2171])). 502.89/147.27 502.89/147.27 tcf(c_795562,plain,![X0:$i,X1:$i,X2:$i]: 502.89/147.27 (is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2))))), 502.89/147.27 inference(resolution,[status(thm)],[c_40685,c_1004])). 502.89/147.27 502.89/147.27 tcf(c_798288,plain,![X0:$i,X1:$i]: 502.89/147.27 (is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))), 502.89/147.27 inference(resolution,[status(thm)],[c_795562,c_2181])). 502.89/147.27 502.89/147.27 tcf(c_801949,plain, 502.89/147.27 ($false), 502.89/147.27 inference(backward_subsumption_resolution, 502.89/147.27 [status(thm)], 502.89/147.27 [c_539656,c_798288])). 502.89/147.27 502.89/147.27 502.89/147.27 % SZS output end CNFRefutation for theBenchmark.p 502.89/147.27 502.89/147.27 1017.21/147.51 EOF