%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : NUM841+1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Tue May 12 07:08:09 PM UTC 2026 % Result : Theorem 2.35s 3.44s % Output : Proof 2.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : NUM841+1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon May 11 13:24:20 EDT 2026 % 0.17/0.35 % CPUTime : % 2.35/3.44 % SZS status Theorem % 2.35/3.44 % SZS output start Proof % 2.35/3.44 % 2.35/3.44 =============================================================== % 2.35/3.44 TPTP Problem: holds(214, 352, 0) (conjecture with 44 axiom(s)) % 2.35/3.44 Axioms: [holds(213, 351, 2),holds(213, 351, 1),holds(213, 351, 0),holds(212, 350, 0),holds(conjunct2(211), 349, 0),holds(conjunct1(211), 346, 0),ass(cond(goal(202), 0), 0),ass(cond(goal(202), 0), 1),ass(cond(goal(202), 0), 2),ass(cond(goal(193), 0), 0),ass(cond(goal(193), 0), 1),ass(cond(goal(193), 0), 2),ass(cond(189, 0), 0),ass(cond(184, 0), 0),ass(cond(goal(177), 0), 0),ass(cond(168, 0), 0),ass(cond(163, 0), 0),ass(cond(158, 0), 0),def(cond(conseq(axiom(3)), 17), 1),def(cond(conseq(axiom(3)), 16), 1),ass(cond(147, 0), 0),ass(cond(140, 0), 0),ass(cond(goal(130), 0), 0),ass(cond(goal(130), 0), 1),ass(cond(goal(130), 0), 2),ass(cond(goal(130), 0), 3),def(cond(conseq(axiom(3)), 12), 1),def(cond(conseq(axiom(3)), 11), 1),ass(cond(goal(88), 0), 0),ass(cond(goal(88), 0), 1),ass(cond(goal(88), 0), 2),ass(cond(goal(88), 0), 3),ass(cond(81, 0), 0),ass(cond(73, 0), 0),ass(cond(61, 0), 0),ass(cond(52, 0), 0),ass(cond(43, 0), 0),ass(cond(33, 0), 0),qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))),ass(cond(20, 0), 0),ass(cond(12, 0), 0),ass(cond(6, 0), 0),qu(antec(axiom(3)), imp(antec(axiom(3)))),qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))] % 2.35/3.44 =============================================================== % 2.35/3.44 % 2.35/3.44 Combined formula: 44 axiom(s) => conjecture % 2.35/3.44 % 2.35/3.44 % Equality/functions detected -> nanoCoP oracle mode % 2.35/3.44 nanoCoP : % 2.35/3.44 % 4,122,627 inferences, 1.753 CPU in 1.753 seconds (100% CPU, 2352016 Lips) % 2.35/3.44 % 2.35/3.44 % nanoCoP proof (equality/functions) % 2.35/3.44 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 2.35/3.44 % 2.35/3.44 % SZS output end Proof %------------------------------------------------------------------------------