%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : ITP001+4 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n022.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 07:01:31 PM UTC 2026 % Result : Theorem 0.57s 1.37s % Output : Proof 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP001+4 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.13/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.16/0.34 % Computer : n022.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 12:11:08 EDT 2026 % 0.16/0.34 % CPUTime : % 0.57/1.37 % SZS status Theorem % 0.57/1.37 % SZS output start Proof % 0.57/1.38 % 0.57/1.38 =============================================================== % 0.57/1.38 TPTP Problem: thm_2Ebool_2ETRUTH (conjecture with 86 axiom(s)) % 0.57/1.38 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,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,arityeq1_2Ec_2Ebool_2E_3F_21_2E1_2Emono_2EA_27a,arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2EA_27a,arityeq1_2Ec_2Ebool_2EBOUNDED_2E1,arityeq1_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2EA_27a,arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2EA_27a_20mono_2EA_27b,arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind,arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2EA_27a_20mono_2EA_27b,arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind,arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2EA_27a,arityeq2_2Ec_2Ebool_2ELET_2E2_2Emono_2EA_27a_20mono_2EA_27b,arityeq2_2Ec_2Ebool_2ERES__EXISTS_2E2_2Emono_2EA_27a,arityeq2_2Ec_2Ebool_2ERES__EXISTS__UNIQUE_2E2_2Emono_2EA_27a,arityeq2_2Ec_2Ebool_2ERES__FORALL_2E2_2Emono_2EA_27a,arityeq2_2Ec_2Ebool_2ERES__SELECT_2E2_2Emono_2EA_27a,arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2EA_27a_20mono_2EA_27b,arityeq2_2Ec_2Ebool_2Eliteral__case_2E2_2Emono_2EA_27a_20mono_2EA_27b,arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a,thm_2Ebool_2EBOOL__CASES__AX,thm_2Ebool_2EETA__AX,thm_2Ebool_2ESELECT__AX,thm_2Ebool_2EINFINITY__AX,thm_2Ebool_2ET__DEF,thm_2Ebool_2EFORALL__DEF,thm_2Ebool_2EEXISTS__DEF,thm_2Ebool_2EAND__DEF,thm_2Ebool_2EOR__DEF,thm_2Ebool_2EF__DEF,thm_2Ebool_2ENOT__DEF,thm_2Ebool_2EEXISTS__UNIQUE__DEF,thm_2Ebool_2ELET__DEF,thm_2Ebool_2ECOND__DEF,thm_2Ebool_2EONE__ONE__DEF,thm_2Ebool_2EONTO__DEF,thm_2Ebool_2ETYPE__DEFINITION,thm_2Ebool_2Eliteral__case__DEF,thm_2Ebool_2EIN__DEF,thm_2Ebool_2ERES__FORALL__DEF,thm_2Ebool_2ERES__EXISTS__DEF,thm_2Ebool_2ERES__EXISTS__UNIQUE__DEF,thm_2Ebool_2ERES__SELECT__DEF,thm_2Ebool_2EBOUNDED__DEF,thm_2Ebool_2EDATATYPE__TAG__DEF] % 0.57/1.38 =============================================================== % 0.57/1.38 % 0.57/1.38 Combined formula: 86 axiom(s) => conjecture % 0.57/1.38 % 0.57/1.38 % Equality/functions detected -> nanoCoP oracle mode % 0.57/1.38 nanoCoP : % 0.57/1.38 % 169,930 inferences, 0.067 CPU in 0.067 seconds (100% CPU, 2532707 Lips) % 0.57/1.38 % 0.57/1.38 % nanoCoP proof (equality/functions) % 0.57/1.38 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.57/1.38 % 0.57/1.38 % SZS output end Proof %------------------------------------------------------------------------------