%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWV045+1 : TPTP v8.1.2. Bugfixed v3.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n025.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 : Thu Aug 31 22:54:41 EDT 2023 % Result : Theorem 10.52s 2.17s % Output : Proof 13.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV045+1 : TPTP v8.1.2. Bugfixed v3.3.0. % 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.33 % Computer : n025.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Tue Aug 29 03:11:09 EDT 2023 % 0.13/0.33 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.61 Running up to 7 provers in parallel. % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.58/1.39 Prover 1: Preprocessing ... % 4.58/1.40 Prover 4: Preprocessing ... % 4.58/1.44 Prover 2: Preprocessing ... % 4.58/1.44 Prover 0: Preprocessing ... % 4.58/1.44 Prover 3: Preprocessing ... % 4.58/1.44 Prover 6: Preprocessing ... % 5.59/1.46 Prover 5: Preprocessing ... % 9.45/2.12 Prover 5: Constructing countermodel ... % 10.52/2.16 Prover 5: proved (1528ms) % 10.52/2.16 % 10.52/2.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 10.52/2.17 % 10.52/2.18 Prover 3: Constructing countermodel ... % 10.52/2.18 Prover 3: stopped % 10.52/2.19 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 10.94/2.20 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 10.94/2.21 Prover 6: Constructing countermodel ... % 10.94/2.21 Prover 6: stopped % 10.94/2.23 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 10.94/2.25 Prover 1: Warning: ignoring some quantifiers % 11.84/2.31 Prover 1: Constructing countermodel ... % 11.84/2.32 Prover 0: Constructing countermodel ... % 11.84/2.32 Prover 0: stopped % 11.84/2.33 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.12/2.41 Prover 2: Constructing countermodel ... % 12.12/2.41 Prover 2: stopped % 12.12/2.43 Prover 4: Warning: ignoring some quantifiers % 12.12/2.43 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.12/2.43 Prover 7: Preprocessing ... % 12.82/2.43 Prover 1: Found proof (size 5) % 12.82/2.43 Prover 1: proved (1816ms) % 12.82/2.43 Prover 10: Preprocessing ... % 12.82/2.44 Prover 8: Preprocessing ... % 12.82/2.48 Prover 4: Constructing countermodel ... % 12.82/2.49 Prover 10: stopped % 13.26/2.51 Prover 7: stopped % 13.26/2.52 Prover 4: stopped % 13.26/2.53 Prover 11: Preprocessing ... % 13.26/2.53 Prover 13: Preprocessing ... % 13.78/2.60 Prover 11: stopped % 13.78/2.60 Prover 13: stopped % 13.78/2.63 Prover 8: Warning: ignoring some quantifiers % 13.78/2.65 Prover 8: Constructing countermodel ... % 13.78/2.67 Prover 8: stopped % 13.78/2.67 % 13.78/2.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 13.78/2.67 % 13.78/2.68 % SZS output start Proof for theBenchmark % 13.78/2.68 Assumptions after simplification: % 13.78/2.68 --------------------------------- % 13.78/2.68 % 13.78/2.68 (cl5_nebula_norm_0007) % 13.78/2.71 $i(pv76) & $i(pv25) & $i(pv77) & $i(q) & $i(n135300) & $i(n5) & $i(n1) & % 13.78/2.71 $i(n0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (minus(n135300, n1) = v0 & % 13.78/2.71 minus(n5, n1) = v2 & sum(n0, v0, v1) = pv76 & a_select3(q, pv77, pv25) = v1 % 13.78/2.71 & leq(pv25, v2) = 0 & leq(n0, pv25) = 0 & $i(v2) & $i(v1) & $i(v0) & ~ % 13.78/2.71 true) % 13.78/2.71 % 13.78/2.71 (ttrue) % 13.78/2.71 true % 13.78/2.71 % 13.78/2.71 Further assumptions not needed in the proof: % 13.78/2.71 -------------------------------------------- % 13.78/2.71 const_array1_select, const_array2_select, defuse, finite_domain_0, % 13.78/2.71 finite_domain_1, finite_domain_2, finite_domain_3, finite_domain_4, % 13.78/2.71 finite_domain_5, gt_0_tptp_minus_1, gt_135300_0, gt_135300_1, gt_135300_2, % 13.78/2.71 gt_135300_3, gt_135300_4, gt_135300_5, gt_135300_tptp_minus_1, gt_1_0, % 13.78/2.71 gt_1_tptp_minus_1, gt_2_0, gt_2_1, gt_2_tptp_minus_1, gt_3_0, gt_3_1, gt_3_2, % 13.78/2.71 gt_3_tptp_minus_1, gt_4_0, gt_4_1, gt_4_2, gt_4_3, gt_4_tptp_minus_1, gt_5_0, % 13.78/2.71 gt_5_1, gt_5_2, gt_5_3, gt_5_4, gt_5_tptp_minus_1, gt_succ, irreflexivity_gt, % 13.78/2.71 leq_geq, leq_gt1, leq_gt2, leq_gt_pred, leq_minus, leq_succ, leq_succ_gt, % 13.78/2.71 leq_succ_gt_equiv, leq_succ_succ, lt_gt, matrix_symm_aba1, matrix_symm_aba2, % 13.78/2.71 matrix_symm_add, matrix_symm_inv, matrix_symm_joseph_update, matrix_symm_sub, % 13.78/2.71 matrix_symm_trans, matrix_symm_update_diagonal, pred_minus_1, pred_succ, % 13.78/2.71 reflexivity_leq, sel2_update_1, sel2_update_2, sel2_update_3, sel3_update_1, % 13.78/2.71 sel3_update_2, sel3_update_3, succ_plus_1_l, succ_plus_1_r, succ_plus_2_l, % 13.78/2.71 succ_plus_2_r, succ_plus_3_l, succ_plus_3_r, succ_plus_4_l, succ_plus_4_r, % 13.78/2.71 succ_plus_5_l, succ_plus_5_r, succ_pred, succ_tptp_minus_1, successor_1, % 13.78/2.71 successor_2, successor_3, successor_4, successor_5, sum_plus_base, % 13.78/2.71 sum_plus_base_float, totality, transitivity_gt, transitivity_leq, % 13.78/2.71 uniform_int_rand_ranges_hi, uniform_int_rand_ranges_lo % 13.78/2.71 % 13.78/2.71 Those formulas are unsatisfiable: % 13.78/2.71 --------------------------------- % 13.78/2.71 % 13.78/2.71 Begin of proof % 13.78/2.71 | % 13.78/2.71 | ALPHA: (cl5_nebula_norm_0007) implies: % 13.78/2.72 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (minus(n135300, n1) = v0 & % 13.78/2.72 | minus(n5, n1) = v2 & sum(n0, v0, v1) = pv76 & a_select3(q, pv77, % 13.78/2.72 | pv25) = v1 & leq(pv25, v2) = 0 & leq(n0, pv25) = 0 & $i(v2) & % 13.78/2.72 | $i(v1) & $i(v0) & ~ true) % 13.78/2.72 | % 13.78/2.72 | DELTA: instantiating (1) with fresh symbols all_57_0, all_57_1, all_57_2 % 13.78/2.72 | gives: % 13.78/2.72 | (2) minus(n135300, n1) = all_57_2 & minus(n5, n1) = all_57_0 & sum(n0, % 13.78/2.72 | all_57_2, all_57_1) = pv76 & a_select3(q, pv77, pv25) = all_57_1 & % 13.78/2.72 | leq(pv25, all_57_0) = 0 & leq(n0, pv25) = 0 & $i(all_57_0) & % 13.78/2.72 | $i(all_57_1) & $i(all_57_2) & ~ true % 13.78/2.72 | % 13.78/2.72 | ALPHA: (2) implies: % 13.78/2.72 | (3) ~ true % 13.78/2.72 | % 13.78/2.72 | PRED_UNIFY: (3), (ttrue) imply: % 13.78/2.72 | (4) $false % 13.78/2.72 | % 13.78/2.72 | CLOSE: (4) is inconsistent. % 13.78/2.72 | % 13.78/2.72 End of proof % 13.78/2.72 % SZS output end Proof for theBenchmark % 13.78/2.72 % 13.78/2.72 2123ms %------------------------------------------------------------------------------