%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : GRP618+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % Computer : n015.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 07:00:34 PM UTC 2026 % Result : Theorem 1.16s 2.40s % Output : Proof 1.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GRP618+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.15/0.33 % Computer : n015.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 11:59:32 EDT 2026 % 0.15/0.33 % CPUTime : % 1.16/2.40 % SZS status Theorem % 1.18/2.40 % SZS output start Proof % 1.18/2.40 % 1.18/2.40 =============================================================== % 1.18/2.40 TPTP Problem: t1_autgroup (conjecture with 60 axiom(s)) % 1.18/2.40 Axioms: [rc1_partfun1,rc3_funct_1,reflexivity_r1_tarski,cc2_funct_1,rc1_funct_1,rc1_funct_2,rc2_funct_1,rc2_partfun1,antisymmetry_r2_hidden,dt_k1_xboole_0,dt_k1_zfmisc_1,cc1_funct_2,cc1_relset_1,fc1_xboole_0,rc5_struct_0,t1_subset,t3_subset,t4_subset,t5_subset,existence_m1_relset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k2_zfmisc_1,dt_m1_relset_1,dt_m2_relset_1,cc1_funct_1,cc5_funct_2,cc6_funct_2,fc1_group_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,free_g1_group_1,existence_l1_struct_0,dt_g1_group_1,dt_l1_struct_0,dt_u1_group_1,fc1_struct_0,rc1_group_2,rc1_group_3,rc3_group_1,rc3_struct_0,abstractness_v1_group_1,existence_l1_group_1,existence_m1_group_2,existence_m1_subset_1,dt_k2_group_3,dt_l1_group_1,dt_m1_group_2,dt_m1_subset_1,dt_u1_struct_0,cc1_group_1,cc1_group_2,rc1_group_1,rc2_group_1,l1_autgroup,l2_autgroup] % 1.18/2.40 =============================================================== % 1.18/2.40 % 1.18/2.40 Combined formula: 60 axiom(s) => conjecture % 1.18/2.40 % 1.18/2.40 % Equality/functions detected -> nanoCoP oracle mode % 1.18/2.40 nanoCoP : % 1.18/2.40 % 949,982 inferences, 0.597 CPU in 0.597 seconds (100% CPU, 1591279 Lips) % 1.18/2.40 % 1.18/2.40 % nanoCoP proof (equality/functions) % 1.18/2.40 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 1.18/2.40 % 1.18/2.40 % SZS output end Proof %------------------------------------------------------------------------------