%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : ITP010+1 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % Computer : n017.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 07:01:39 PM UTC 2026 % Result : Theorem 0.56s 1.38s % Output : Proof 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : ITP010+1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.11/0.13 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.15/0.35 % Computer : n017.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Mon May 11 12:11:13 EDT 2026 % 0.16/0.35 % CPUTime : % 0.56/1.38 % SZS status Theorem % 0.56/1.38 % SZS output start Proof % 0.56/1.39 % 0.56/1.39 =============================================================== % 0.56/1.39 TPTP Problem: thm_2Ecardinal_2ECARD__NOT__LE (conjecture with 39 axiom(s)) % 0.56/1.39 Axioms: [reserved_2Eho_2Eeq__ext,reserved_2Eho_2Eboolext,reserved_2Eho_2Etruth,reserved_2Eho_2Enotfalse,reserved_2Eho_2Ebool__cases__ax,reserved_2Eho_2Ei__thm,reserved_2Eho_2Ek__thm,reserved_2Eho_2Es__thm,reserved_2Elogic_2E_2F_5C,reserved_2Elogic_2E_5C_2F,reserved_2Elogic_2E_7E,reserved_2Elogic_2E_3D_3D_3E,reserved_2Elogic_2E_3D,reserved_2Equant_2E_21,reserved_2Equant_2E_3F,arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,arityeq1_2Ec_2Ebool_2E_7E_2E1,arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27a_20mono_2EA_27b,arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27b_20mono_2EA_27a,thm_2Ebool_2ETRUTH,thm_2Ebool_2EFALSITY,thm_2Ebool_2EFORALL__SIMP,thm_2Ebool_2EIMP__CLAUSES,thm_2Ebool_2ENOT__CLAUSES,thm_2Ebool_2EREFL__CLAUSE,thm_2Ebool_2EEQ__CLAUSES,thm_2Ecardinal_2ECARD__LE__TOTAL,thm_2Esat_2ENOT__NOT,thm_2Esat_2EAND__INV__IMP,thm_2Esat_2EOR__DUAL2,thm_2Esat_2EOR__DUAL3,thm_2Esat_2EAND__INV2,thm_2Esat_2Edc__eq,thm_2Esat_2Edc__neg] % 0.56/1.39 =============================================================== % 0.56/1.39 % 0.56/1.39 Combined formula: 39 axiom(s) => conjecture % 0.56/1.39 % 0.56/1.39 % Equality/functions detected -> nanoCoP oracle mode % 0.56/1.39 nanoCoP : % 0.56/1.39 % 63,115 inferences, 0.036 CPU in 0.036 seconds (100% CPU, 1761320 Lips) % 0.56/1.39 % 0.56/1.39 % nanoCoP proof (equality/functions) % 0.56/1.39 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.56/1.39 % 0.56/1.39 % SZS output end Proof %------------------------------------------------------------------------------