%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : ITP010+2 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox/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 07:01:39 PM UTC 2026 % Result : Theorem 0.55s 1.37s % Output : Proof 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : ITP010+2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.15/0.33 % Computer : n011.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon May 11 12:12:33 EDT 2026 % 0.15/0.33 % CPUTime : % 0.55/1.37 % SZS status Theorem % 0.55/1.37 % SZS output start Proof % 0.55/1.37 % 0.55/1.37 =============================================================== % 0.55/1.37 TPTP Problem: conj_thm_2Ecardinal_2ECARD__NOT__LE (conjecture with 40 axiom(s)) % 0.55/1.37 Axioms: [bool_ne,ind_ne,arr_ne,ap_tp,boolext,funcext,kbeta,ibeta,mem_c_2Ebool_2ET,ax_true_p,mem_c_2Ecardinal_2Ecardleq,mem_c_2Ebool_2EF,ax_false_p,mem_c_2Emin_2E_3D_3D_3E,ax_imp_p,mem_c_2Ebool_2E_5C_2F,ax_or_p,mem_c_2Ebool_2E_2F_5C,ax_and_p,mem_c_2Ebool_2E_7E,ax_neg_p,mem_c_2Emin_2E_3D,ax_eq_p,mem_c_2Ebool_2E_21,ax_all_p,conj_thm_2Ebool_2ETRUTH,conj_thm_2Ebool_2EFALSITY,conj_thm_2Ebool_2EFORALL__SIMP,conj_thm_2Ebool_2EIMP__CLAUSES,conj_thm_2Ebool_2ENOT__CLAUSES,conj_thm_2Ebool_2EREFL__CLAUSE,conj_thm_2Ebool_2EEQ__CLAUSES,conj_thm_2Ecardinal_2ECARD__LE__TOTAL,conj_thm_2Esat_2ENOT__NOT,conj_thm_2Esat_2EAND__INV__IMP,conj_thm_2Esat_2EOR__DUAL2,conj_thm_2Esat_2EOR__DUAL3,conj_thm_2Esat_2EAND__INV2,conj_thm_2Esat_2Edc__eq,conj_thm_2Esat_2Edc__neg] % 0.55/1.37 =============================================================== % 0.55/1.37 % 0.55/1.37 Combined formula: 40 axiom(s) => conjecture % 0.55/1.37 % 0.55/1.37 % Equality/functions detected -> nanoCoP oracle mode % 0.55/1.37 nanoCoP : % 0.55/1.37 % 53,653 inferences, 0.047 CPU in 0.047 seconds (100% CPU, 1149432 Lips) % 0.55/1.37 % 0.55/1.37 % nanoCoP proof (equality/functions) % 0.55/1.37 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.55/1.37 % 0.55/1.37 % SZS output end Proof %------------------------------------------------------------------------------