%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : NUM412+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % Computer : n014.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 07:07:16 PM UTC 2026 % Result : Theorem 0.54s 1.36s % Output : Proof 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : NUM412+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.14/0.33 % Computer : n014.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Mon May 11 13:19:08 EDT 2026 % 0.14/0.33 % CPUTime : % 0.54/1.36 % SZS status Theorem % 0.54/1.36 % SZS output start Proof % 0.54/1.36 % 0.54/1.36 =============================================================== % 0.54/1.36 TPTP Problem: t48_ordinal1 (conjecture with 47 axiom(s)) % 0.54/1.36 Axioms: [antisymmetry_r2_hidden,cc1_funct_1,cc1_ordinal1,cc1_relat_1,cc2_funct_1,cc2_ordinal1,cc3_ordinal1,d8_ordinal1,dt_k2_ordinal1,dt_k7_relat_1,dt_m1_ordinal1,existence_m1_ordinal1,existence_m1_subset_1,fc12_relat_1,fc13_relat_1,fc1_xboole_0,fc2_ordinal1,fc4_funct_1,fc4_relat_1,fc6_funct_1,fc6_relat_1,fc8_relat_1,rc1_funct_1,rc1_ordinal1,rc1_relat_1,rc1_xboole_0,rc2_funct_1,rc2_ordinal1,rc2_relat_1,rc2_xboole_0,rc3_funct_1,rc3_ordinal1,rc3_relat_1,rc4_funct_1,rc4_ordinal1,rc5_funct_1,redefinition_k2_ordinal1,reflexivity_r1_tarski,t1_subset,t2_subset,t3_subset,t47_ordinal1,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole] % 0.54/1.36 =============================================================== % 0.54/1.36 % 0.54/1.36 Combined formula: 47 axiom(s) => conjecture % 0.54/1.36 % 0.54/1.36 % Equality/functions detected -> nanoCoP oracle mode % 0.54/1.36 nanoCoP : % 0.54/1.36 % 77,686 inferences, 0.033 CPU in 0.033 seconds (100% CPU, 2346151 Lips) % 0.54/1.36 % 0.54/1.36 % nanoCoP proof (equality/functions) % 0.54/1.36 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.54/1.36 % 0.54/1.36 % SZS output end Proof %------------------------------------------------------------------------------