%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SWV145+1 : TPTP v9.2.1. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n024.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 07:15:12 PM UTC 2026 % Result : Theorem 0.30s 1.26s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWV145+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.00/0.06 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.06/0.24 % Computer : n024.cluster.edu % 0.06/0.24 % Model : x86_64 x86_64 % 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.24 % Memory : 8042.1875MB % 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.24 % CPULimit : 300 % 0.06/0.24 % WCLimit : 300 % 0.06/0.24 % DateTime : Mon May 11 09:19:57 EDT 2026 % 0.06/0.24 % CPUTime : % 0.30/1.26 % SZS status Theorem % 0.30/1.26 % SZS output start Proof % 0.30/1.26 % 0.30/1.26 =============================================================== % 0.30/1.26 TPTP Problem: gauss_array_0015 (conjecture with 84 axiom(s)) % 0.30/1.26 Axioms: [totality,transitivity_gt,irreflexivity_gt,reflexivity_leq,transitivity_leq,lt_gt,leq_geq,leq_gt1,leq_gt2,leq_gt_pred,gt_succ,leq_succ,leq_succ_gt_equiv,uniform_int_rand_ranges_hi,uniform_int_rand_ranges_lo,const_array1_select,const_array2_select,matrix_symm_trans,matrix_symm_inv,matrix_symm_update_diagonal,matrix_symm_add,matrix_symm_sub,matrix_symm_aba1,matrix_symm_aba2,matrix_symm_joseph_update,sum_plus_base,sum_plus_base_float,succ_tptp_minus_1,succ_plus_1_r,succ_plus_1_l,succ_plus_2_r,succ_plus_2_l,succ_plus_3_r,succ_plus_3_l,succ_plus_4_r,succ_plus_4_l,succ_plus_5_r,succ_plus_5_l,pred_minus_1,pred_succ,succ_pred,leq_succ_succ,leq_succ_gt,leq_minus,sel3_update_1,sel3_update_2,sel3_update_3,sel2_update_1,sel2_update_2,sel2_update_3,ttrue,defuse,gt_5_4,gt_4_tptp_minus_1,gt_5_tptp_minus_1,gt_0_tptp_minus_1,gt_1_tptp_minus_1,gt_2_tptp_minus_1,gt_3_tptp_minus_1,gt_4_0,gt_5_0,gt_1_0,gt_2_0,gt_3_0,gt_4_1,gt_5_1,gt_2_1,gt_3_1,gt_4_2,gt_5_2,gt_3_2,gt_4_3,gt_5_3,finite_domain_4,finite_domain_5,finite_domain_0,finite_domain_1,finite_domain_2,finite_domain_3,successor_4,successor_5,successor_1,successor_2,successor_3] % 0.30/1.26 =============================================================== % 0.30/1.26 % 0.30/1.26 Combined formula: 84 axiom(s) => conjecture % 0.30/1.26 % 0.30/1.26 % Equality/functions detected -> nanoCoP oracle mode % 0.30/1.26 nanoCoP : % 0.30/1.26 % 96,480 inferences, 0.032 CPU in 0.032 seconds (99% CPU, 2987199 Lips) % 0.30/1.26 % 0.30/1.26 % nanoCoP proof (equality/functions) % 0.30/1.26 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.30/1.26 % 0.30/1.26 % SZS output end Proof %------------------------------------------------------------------------------