%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : ITP020+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 : n008.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 07:01:48 PM UTC 2026 % Result : Theorem 0.67s 1.38s % Output : Proof 0.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP020+1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.13/0.13 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.16/0.34 % Computer : n008.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 12:14:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.67/1.38 % SZS status Theorem % 0.67/1.39 % SZS output start Proof % 0.67/1.39 % 0.67/1.39 =============================================================== % 0.67/1.39 TPTP Problem: thm_2Eutil__prob_2ENUM__2D__BIJ__INV (conjecture with 58 axiom(s)) % 0.67/1.39 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,arityeq3_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2EA_27a_20mono_2EA_27b,arityeq3_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2EA_27b_20mono_2EA_27a,arityeq3_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,arityeq2_2Ec_2Epred__set_2ECROSS_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,arityeq3_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,thm_2Ebool_2ETRUTH,thm_2Ebool_2EIMP__ANTISYM__AX,thm_2Ebool_2EIMP__F,thm_2Ebool_2EF__IMP,thm_2Ebool_2EIMP__CLAUSES,thm_2Ebool_2ENOT__CLAUSES,thm_2Ebool_2EEQ__SYM__EQ,thm_2Ebool_2EEQ__CLAUSES,thm_2Ebool_2ENOT__EXISTS__THM,thm_2Ebool_2ELEFT__AND__FORALL__THM,thm_2Ebool_2ERIGHT__AND__FORALL__THM,thm_2Ebool_2ELEFT__OR__EXISTS__THM,thm_2Ebool_2ERIGHT__OR__EXISTS__THM,thm_2Ebool_2ELEFT__EXISTS__AND__THM,thm_2Ebool_2ERIGHT__EXISTS__AND__THM,thm_2Ebool_2ELEFT__FORALL__OR__THM,thm_2Ebool_2ERIGHT__FORALL__OR__THM,thm_2Ebool_2EDISJ__SYM,thm_2Ebool_2ESKOLEM__THM,thm_2Epred__set_2EBIJ__SYM,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__conj,thm_2Esat_2Edc__disj,thm_2Esat_2Edc__imp,thm_2Esat_2Edc__neg,thm_2Eutil__prob_2ENUM__2D__BIJ] % 0.67/1.39 =============================================================== % 0.67/1.39 % 0.67/1.39 Combined formula: 58 axiom(s) => conjecture % 0.67/1.39 % 0.67/1.39 % Equality/functions detected -> nanoCoP oracle mode % 0.67/1.39 nanoCoP : % 0.67/1.39 % 180,898 inferences, 0.137 CPU in 0.137 seconds (100% CPU, 1318819 Lips) % 0.67/1.39 % 0.67/1.39 % nanoCoP proof (equality/functions) % 0.67/1.39 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.67/1.39 % 0.67/1.39 % SZS output end Proof %------------------------------------------------------------------------------