%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : GRP645+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 : n003.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 07:00:40 PM UTC 2026 % Result : Theorem 1.84s 2.42s % Output : Proof 1.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP645+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.17/0.34 % Computer : n003.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 12:02:27 EDT 2026 % 0.17/0.35 % CPUTime : % 1.84/2.42 % SZS status Theorem % 1.84/2.42 % SZS output start Proof % 1.84/2.42 % 1.84/2.42 =============================================================== % 1.84/2.42 TPTP Problem: t24_latsubgr (conjecture with 61 axiom(s)) % 1.84/2.42 Axioms: [abstractness_v1_group_1,antisymmetry_r2_hidden,cc1_funct_2,cc1_relset_1,cc5_funct_2,cc6_funct_2,commutativity_k3_xboole_0,commutativity_k9_group_2,d1_latsubgr,dt_g1_group_1,dt_k1_funct_1,dt_k1_group_3,dt_k1_latsubgr,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_k3_xboole_0,dt_k8_group_2,dt_k9_group_2,dt_l1_group_1,dt_l1_struct_0,dt_m1_group_2,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_u1_group_1,dt_u1_struct_0,existence_l1_group_1,existence_l1_struct_0,existence_m1_group_2,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,fc1_group_3,fc1_struct_0,fc1_subset_1,fc1_xboole_0,fc4_subset_1,free_g1_group_1,idempotence_k3_xboole_0,rc1_funct_2,rc1_subset_1,rc1_xboole_0,rc2_partfun1,rc2_subset_1,rc2_xboole_0,rc3_struct_0,rc5_struct_0,redefinition_k9_group_2,redefinition_m2_relset_1,reflexivity_r1_tarski,t1_subset,t23_latsubgr,t2_boole,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole] % 1.84/2.42 =============================================================== % 1.84/2.42 % 1.84/2.42 Combined formula: 61 axiom(s) => conjecture % 1.84/2.42 % 1.84/2.42 % Equality/functions detected -> nanoCoP oracle mode % 1.84/2.42 nanoCoP : % 1.84/2.42 % 2,407,518 inferences, 1.305 CPU in 1.306 seconds (100% CPU, 1844198 Lips) % 1.84/2.42 % 1.84/2.42 % nanoCoP proof (equality/functions) % 1.84/2.42 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 1.84/2.42 % 1.84/2.42 % SZS output end Proof %------------------------------------------------------------------------------