%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : NUM835+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n001.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 07:08:08 PM UTC 2026 % Result : Theorem 0.47s 1.37s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM835+2 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.16/0.34 % Computer : n001.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % 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 13:24:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.47/1.37 % SZS status Theorem % 0.47/1.38 % SZS output start Proof % 0.47/1.38 % 0.47/1.38 =============================================================== % 0.47/1.38 TPTP Problem: dis(case_distinction(conseq(110))) (conjecture with 23 axiom(s)) % 0.47/1.38 Axioms: [ass(cond(conseq(110), 2), 0),ass(cond(conseq(110), 2), 1),ass(cond(conseq(110), 2), 2),ass(cond(conseq(110), 1), 0),ass(cond(conseq(110), 1), 1),ass(cond(conseq(110), 1), 2),ass(cond(conseq(110), 1), 3),ass(cond(conseq(110), 1), 4),ass(cond(conseq(110), 1), 5),ass(cond(conseq(110), 1), 6),ass(cond(conseq(110), 1), 7),ass(cond(conseq(110), 1), 8),ass(cond(conseq(110), 0), 0),ass(cond(conseq(110), 0), 1),ass(cond(conseq(110), 0), 2),def(cond(conseq(105), 0), 1),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)] % 0.47/1.38 =============================================================== % 0.47/1.38 % 0.47/1.38 Combined formula: 23 axiom(s) => conjecture % 0.47/1.38 % 0.47/1.38 % Equality/functions detected -> nanoCoP oracle mode % 0.47/1.38 nanoCoP : % 0.47/1.38 % 49,378 inferences, 0.034 CPU in 0.034 seconds (100% CPU, 1441198 Lips) % 0.47/1.38 % 0.47/1.38 % nanoCoP proof (equality/functions) % 0.47/1.38 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.47/1.38 % 0.47/1.38 % SZS output end Proof %------------------------------------------------------------------------------