%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : NUM855+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % Computer : n011.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 07:08:12 PM UTC 2026 % Result : Theorem 4.55s 5.49s % Output : Proof 4.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM855+2 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.12 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.16/0.33 % Computer : n011.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon May 11 13:23:33 EDT 2026 % 0.16/0.34 % CPUTime : % 4.55/5.49 % SZS status Theorem % 4.55/5.50 % SZS output start Proof % 4.56/5.50 % 4.56/5.50 =============================================================== % 4.56/5.50 TPTP Problem: holds(conseq_conjunct2(315), 516, 0) (conjecture with 62 axiom(s)) % 4.56/5.50 Axioms: [holds(conjunct2(315), 515, 2),holds(conjunct2(315), 515, 1),holds(conjunct2(315), 515, 0),holds(conjunct1(315), 514, 0),holds(conjunct2(314), 513, 0),holds(conjunct1(314), 510, 0),ass(cond(conjunct2(conjunct2(307)), 0), 0),ass(cond(conjunct1(conjunct2(307)), 0), 0),ass(cond(conjunct1(307), 0), 0),ass(cond(299, 0), 0),ass(cond(299, 0), 1),ass(cond(299, 0), 2),ass(cond(290, 0), 0),ass(cond(281, 0), 0),ass(cond(270, 0), 0),ass(cond(261, 0), 0),ass(cond(253, 0), 0),qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))),ass(cond(241, 0), 0),ass(cond(234, 0), 0),ass(cond(228, 0), 0),ass(cond(223, 0), 0),ass(cond(goal(216), 0), 0),ass(cond(209, 0), 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))] % 4.56/5.50 =============================================================== % 4.56/5.50 % 4.56/5.50 Combined formula: 62 axiom(s) => conjecture % 4.56/5.50 % 4.56/5.50 % Equality/functions detected -> nanoCoP oracle mode % 4.56/5.50 nanoCoP : % 4.56/5.50 % 7,862,318 inferences, 3.879 CPU in 3.881 seconds (100% CPU, 2026932 Lips) % 4.56/5.50 % 4.56/5.50 % nanoCoP proof (equality/functions) % 4.56/5.50 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 4.56/5.50 % 4.56/5.50 % SZS output end Proof %------------------------------------------------------------------------------