%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : ALG215+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 : n013.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 06:54:45 PM UTC 2026 % Result : Theorem 37.34s 36.52s % Output : Proof 37.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG215+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.15/0.33 % Computer : n013.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 15:03:42 EDT 2026 % 0.15/0.33 % CPUTime : % 37.34/36.52 % SZS status Theorem % 37.34/36.52 % SZS output start Proof % 37.34/36.52 % 37.34/36.52 =============================================================== % 37.34/36.52 TPTP Problem: t4_rmod_5 (conjecture with 76 axiom(s)) % 37.34/36.52 Axioms: [antisymmetry_r2_hidden,cc1_relset_1,d1_rmod_5,d5_rmod_4,d7_rmod_4,dt_k1_fraenkel,dt_k1_funct_1,dt_k1_funct_2,dt_k1_rlvect_1,dt_k1_subset_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_rmod_4,dt_k2_zfmisc_1,dt_k5_rmod_4,dt_k8_funct_2,dt_l1_group_1,dt_l1_rlvect_1,dt_l1_struct_0,dt_l1_vectsp_1,dt_l1_vectsp_2,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m1_rmod_4,dt_m1_subset_1,dt_m2_fraenkel,dt_m2_relset_1,dt_m2_rmod_4,dt_u1_struct_0,existence_l1_group_1,existence_l1_rlvect_1,existence_l1_struct_0,existence_l1_vectsp_1,existence_l1_vectsp_2,existence_l2_struct_0,existence_l2_vectsp_1,existence_l3_vectsp_1,existence_m1_fraenkel,existence_m1_relset_1,existence_m1_rmod_4,existence_m1_subset_1,existence_m2_fraenkel,existence_m2_relset_1,existence_m2_rmod_4,fc1_struct_0,fc1_subset_1,fc1_xboole_0,fc4_subset_1,fraenkel_a_3_0_rmod_4,rc1_subset_1,rc1_xboole_0,rc2_rlvect_2,rc2_subset_1,rc2_xboole_0,rc3_struct_0,rc4_struct_0,rc5_struct_0,rc9_vectsp_2,redefinition_k1_fraenkel,redefinition_k8_funct_2,redefinition_m2_fraenkel,redefinition_m2_relset_1,reflexivity_r1_tarski,t1_subset,t2_subset,t2_tarski,t3_subset,t3_xboole_1,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole] % 37.34/36.52 =============================================================== % 37.34/36.52 % 37.34/36.52 Combined formula: 76 axiom(s) => conjecture % 37.34/36.52 % 37.34/36.52 % Equality/functions detected -> nanoCoP oracle mode % 37.34/36.52 nanoCoP : % 37.34/36.52 % 57,881,487 inferences, 35.521 CPU in 35.530 seconds (100% CPU, 1629506 Lips) % 37.34/36.52 % 37.34/36.52 % nanoCoP proof (equality/functions) % 37.34/36.52 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 37.34/36.52 % 37.34/36.52 % SZS output end Proof %------------------------------------------------------------------------------