%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : GRP640+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n016.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 07:00:39 PM UTC 2026 % Result : Theorem 29.49s 29.31s % Output : Proof 29.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP640+1 : TPTP v9.2.1. Released v3.4.0. % 0.14/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon May 11 11:58:07 EDT 2026 % 0.17/0.34 % CPUTime : % 29.49/29.31 % SZS status Theorem % 29.49/29.31 % SZS output start Proof % 29.49/29.32 % 29.49/29.32 =============================================================== % 29.49/29.32 TPTP Problem: t13_latsubgr (conjecture with 62 axiom(s)) % 29.49/29.32 Axioms: [free_g1_group_1,antisymmetry_r2_hidden,dt_g1_group_1,dt_k1_xboole_0,dt_u1_group_1,cc1_funct_2,fc1_xboole_0,rc1_funct_2,rc2_partfun1,t1_boole,t1_subset,t4_subset,t5_subset,reflexivity_r1_tarski,abstractness_v1_group_1,existence_l1_struct_0,existence_m1_relset_1,dt_k2_zfmisc_1,dt_k9_relat_1,dt_l1_struct_0,dt_m1_relset_1,cc1_relset_1,cc5_funct_2,cc6_funct_2,fc1_struct_0,fc2_xboole_0,fc3_xboole_0,fc4_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,rc3_struct_0,rc5_struct_0,t2_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,symmetry_r1_group_2,reflexivity_r1_group_2,existence_l1_group_1,existence_m1_group_2,existence_m1_subset_1,existence_m2_relset_1,redefinition_k2_funct_2,redefinition_m2_relset_1,redefinition_r1_group_2,dt_k1_zfmisc_1,dt_k2_funct_2,dt_k2_xboole_0,dt_k5_group_4,dt_k8_group_4,dt_l1_group_1,dt_m1_group_2,dt_m1_subset_1,dt_m2_relset_1,dt_u1_struct_0,fc1_subset_1,t3_subset,t4_latsubgr] % 29.49/29.32 =============================================================== % 29.49/29.32 % 29.49/29.32 Combined formula: 62 axiom(s) => conjecture % 29.49/29.32 % 29.49/29.32 % Equality/functions detected -> nanoCoP oracle mode % 29.49/29.32 nanoCoP : % 29.49/29.32 % 56,017,416 inferences, 27.963 CPU in 27.961 seconds (100% CPU, 2003300 Lips) % 29.49/29.32 % 29.49/29.32 % nanoCoP proof (equality/functions) % 29.49/29.32 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 29.49/29.32 % 29.49/29.32 % SZS output end Proof %------------------------------------------------------------------------------