%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : KRS196+1 : TPTP v8.1.2. Bugfixed v5.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 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 : Thu Aug 31 05:51:37 EDT 2023 % Result : Theorem 11.10s 2.70s % Output : Proof 13.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.55 % Problem : KRS196+1 : TPTP v8.1.2. Bugfixed v5.4.0. % 0.06/0.55 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.76 % Computer : n016.cluster.edu % 0.12/0.76 % Model : x86_64 x86_64 % 0.12/0.76 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.76 % Memory : 8042.1875MB % 0.12/0.76 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.77 % CPULimit : 300 % 0.12/0.77 % WCLimit : 300 % 0.12/0.77 % DateTime : Mon Aug 28 02:19:14 EDT 2023 % 0.12/0.77 % CPUTime : % 0.19/1.03 ________ _____ % 0.19/1.03 ___ __ \_________(_)________________________________ % 0.19/1.03 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/1.03 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/1.03 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/1.03 % 0.19/1.03 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/1.03 (2023-06-19) % 0.19/1.03 % 0.19/1.03 (c) Philipp Rümmer, 2009-2023 % 0.19/1.03 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/1.03 Amanda Stjerna. % 0.19/1.03 Free software under BSD-3-Clause. % 0.19/1.03 % 0.19/1.03 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/1.03 % 0.19/1.03 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/1.04 Running up to 7 provers in parallel. % 0.19/1.06 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/1.06 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/1.06 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/1.06 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/1.06 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/1.06 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.19/1.06 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 2.56/1.61 Prover 1: Preprocessing ... % 2.56/1.62 Prover 4: Preprocessing ... % 3.84/1.64 Prover 5: Preprocessing ... % 3.84/1.64 Prover 0: Preprocessing ... % 3.84/1.65 Prover 6: Preprocessing ... % 3.84/1.65 Prover 3: Preprocessing ... % 3.84/1.65 Prover 2: Preprocessing ... % 8.60/2.32 Prover 5: Proving ... % 8.60/2.33 Prover 2: Proving ... % 9.77/2.53 Prover 3: Constructing countermodel ... % 9.77/2.53 Prover 6: Proving ... % 10.21/2.55 Prover 1: Constructing countermodel ... % 10.32/2.58 Prover 0: Proving ... % 10.32/2.61 Prover 4: Constructing countermodel ... % 11.10/2.69 Prover 3: proved (1638ms) % 11.10/2.70 % 11.10/2.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 11.10/2.70 % 11.10/2.70 Prover 2: stopped % 11.10/2.70 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.10/2.70 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 11.10/2.71 Prover 5: stopped % 11.10/2.72 Prover 6: stopped % 11.10/2.72 Prover 0: stopped % 11.10/2.73 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 11.10/2.73 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 11.10/2.73 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.07/2.78 Prover 7: Preprocessing ... % 12.07/2.80 Prover 10: Preprocessing ... % 12.07/2.81 Prover 8: Preprocessing ... % 12.07/2.81 Prover 13: Preprocessing ... % 12.07/2.82 Prover 11: Preprocessing ... % 12.07/2.82 Prover 1: Found proof (size 22) % 12.07/2.84 Prover 1: proved (1787ms) % 12.07/2.84 Prover 10: stopped % 12.07/2.84 Prover 4: stopped % 12.07/2.89 Prover 13: stopped % 12.07/2.91 Prover 11: stopped % 12.07/2.91 Prover 7: Warning: ignoring some quantifiers % 12.07/2.93 Prover 7: Constructing countermodel ... % 12.07/2.94 Prover 7: stopped % 13.37/3.02 Prover 8: Warning: ignoring some quantifiers % 13.37/3.02 Prover 8: Constructing countermodel ... % 13.37/3.03 Prover 8: stopped % 13.37/3.03 % 13.37/3.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 13.37/3.03 % 13.37/3.04 % SZS output start Proof for theBenchmark % 13.37/3.04 Assumptions after simplification: % 13.37/3.04 --------------------------------- % 13.37/3.04 % 13.37/3.04 (isa) % 13.70/3.07 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (isa(v0, v1) = v2) | % 13.70/3.07 ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5: int] : ( ~ (v5 = % 13.70/3.07 0) & status(v3, v4, v1) = v5 & status(v3, v4, v0) = 0 & $i(v4) & % 13.70/3.07 $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~ (isa(v0, v1) = 0) | ~ $i(v1) | % 13.70/3.07 ~ $i(v0) | ! [v2: $i] : ! [v3: $i] : ( ~ (status(v2, v3, v0) = 0) | ~ % 13.70/3.07 $i(v3) | ~ $i(v2) | status(v2, v3, v1) = 0)) % 13.70/3.07 % 13.70/3.07 (isa_wca_thm) % 13.70/3.07 $i(wca) & $i(thm) & ? [v0: int] : ( ~ (v0 = 0) & isa(wca, thm) = v0) % 13.70/3.07 % 13.70/3.07 (thm) % 13.70/3.07 $i(thm) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (status(v0, % 13.70/3.07 v1, thm) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( % 13.70/3.07 ~ (v4 = 0) & model(v3, v1) = v4 & model(v3, v0) = 0 & $i(v3))) & ! [v0: % 13.70/3.07 $i] : ! [v1: $i] : ( ~ (status(v0, v1, thm) = 0) | ~ $i(v1) | ~ $i(v0) | % 13.70/3.07 ! [v2: $i] : ( ~ (model(v2, v0) = 0) | ~ $i(v2) | model(v2, v1) = 0)) % 13.70/3.07 % 13.70/3.07 (wca) % 13.70/3.08 $i(wca) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (status(v0, % 13.70/3.08 v1, wca) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : (model(v3, v0) = % 13.70/3.08 0 & $i(v3)) | ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (model(v3, v1) = % 13.70/3.08 v4) | ~ $i(v3)) | ! [v3: $i] : ( ~ (model(v3, v1) = 0) | ~ $i(v3))) & % 13.70/3.08 ! [v0: $i] : ! [v1: $i] : ( ~ (status(v0, v1, wca) = 0) | ~ $i(v1) | ~ % 13.70/3.08 $i(v0) | ( ! [v2: $i] : ( ~ (model(v2, v0) = 0) | ~ $i(v2)) & ? [v2: $i] : % 13.70/3.08 ? [v3: int] : ( ~ (v3 = 0) & model(v2, v1) = v3 & $i(v2)) & ? [v2: $i] : % 13.70/3.08 (model(v2, v1) = 0 & $i(v2)))) % 13.70/3.08 % 13.70/3.08 Further assumptions not needed in the proof: % 13.70/3.08 -------------------------------------------- % 13.70/3.08 cax, completeness, contradiction, csa, eqv, esa, eth, mighta, mixed_pair, % 13.70/3.08 nevera, noc, non_thm_spt, not, nota, sap, sat, sat_non_taut_pair, satisfiable, % 13.70/3.08 sca, tac, tau, tautology, tca, unp, uns, wec, wtc, wth, xora % 13.70/3.08 % 13.70/3.08 Those formulas are unsatisfiable: % 13.70/3.08 --------------------------------- % 13.70/3.08 % 13.70/3.08 Begin of proof % 13.70/3.08 | % 13.70/3.08 | ALPHA: (thm) implies: % 13.70/3.08 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (status(v0, v1, % 13.70/3.08 | thm) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : % 13.70/3.08 | ( ~ (v4 = 0) & model(v3, v1) = v4 & model(v3, v0) = 0 & $i(v3))) % 13.70/3.08 | % 13.70/3.08 | ALPHA: (wca) implies: % 13.70/3.08 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (status(v0, v1, wca) = 0) | ~ $i(v1) | % 13.70/3.08 | ~ $i(v0) | ( ! [v2: $i] : ( ~ (model(v2, v0) = 0) | ~ $i(v2)) & ? % 13.70/3.08 | [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & model(v2, v1) = v3 & % 13.70/3.08 | $i(v2)) & ? [v2: $i] : (model(v2, v1) = 0 & $i(v2)))) % 13.70/3.08 | % 13.70/3.08 | ALPHA: (isa) implies: % 13.70/3.08 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (isa(v0, v1) = % 13.70/3.08 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5: % 13.70/3.08 | int] : ( ~ (v5 = 0) & status(v3, v4, v1) = v5 & status(v3, v4, v0) % 13.70/3.08 | = 0 & $i(v4) & $i(v3))) % 13.70/3.08 | % 13.70/3.08 | ALPHA: (isa_wca_thm) implies: % 13.70/3.08 | (4) $i(thm) % 13.70/3.08 | (5) $i(wca) % 13.70/3.09 | (6) ? [v0: int] : ( ~ (v0 = 0) & isa(wca, thm) = v0) % 13.70/3.09 | % 13.70/3.09 | DELTA: instantiating (6) with fresh symbol all_30_0 gives: % 13.70/3.09 | (7) ~ (all_30_0 = 0) & isa(wca, thm) = all_30_0 % 13.70/3.09 | % 13.70/3.09 | ALPHA: (7) implies: % 13.70/3.09 | (8) ~ (all_30_0 = 0) % 13.70/3.09 | (9) isa(wca, thm) = all_30_0 % 13.70/3.09 | % 13.70/3.09 | GROUND_INST: instantiating (3) with wca, thm, all_30_0, simplifying with (4), % 13.70/3.09 | (5), (9) gives: % 13.70/3.09 | (10) all_30_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) % 13.70/3.09 | & status(v0, v1, wca) = 0 & status(v0, v1, thm) = v2 & $i(v1) & % 13.70/3.09 | $i(v0)) % 13.70/3.09 | % 13.70/3.09 | BETA: splitting (10) gives: % 13.70/3.09 | % 13.70/3.09 | Case 1: % 13.70/3.09 | | % 13.70/3.09 | | (11) all_30_0 = 0 % 13.70/3.09 | | % 13.70/3.09 | | REDUCE: (8), (11) imply: % 13.70/3.09 | | (12) $false % 13.70/3.09 | | % 13.70/3.09 | | CLOSE: (12) is inconsistent. % 13.70/3.09 | | % 13.70/3.09 | Case 2: % 13.70/3.09 | | % 13.70/3.09 | | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & status(v0, % 13.70/3.09 | | v1, wca) = 0 & status(v0, v1, thm) = v2 & $i(v1) & $i(v0)) % 13.70/3.09 | | % 13.70/3.09 | | DELTA: instantiating (13) with fresh symbols all_73_0, all_73_1, all_73_2 % 13.70/3.09 | | gives: % 13.70/3.09 | | (14) ~ (all_73_0 = 0) & status(all_73_2, all_73_1, wca) = 0 & % 13.70/3.09 | | status(all_73_2, all_73_1, thm) = all_73_0 & $i(all_73_1) & % 13.70/3.09 | | $i(all_73_2) % 13.70/3.09 | | % 13.70/3.09 | | ALPHA: (14) implies: % 13.70/3.09 | | (15) ~ (all_73_0 = 0) % 13.70/3.09 | | (16) $i(all_73_2) % 13.70/3.09 | | (17) $i(all_73_1) % 13.70/3.09 | | (18) status(all_73_2, all_73_1, thm) = all_73_0 % 13.70/3.09 | | (19) status(all_73_2, all_73_1, wca) = 0 % 13.70/3.09 | | % 13.70/3.09 | | GROUND_INST: instantiating (1) with all_73_2, all_73_1, all_73_0, % 13.70/3.09 | | simplifying with (16), (17), (18) gives: % 13.70/3.09 | | (20) all_73_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & model(v0, % 13.70/3.09 | | all_73_1) = v1 & model(v0, all_73_2) = 0 & $i(v0)) % 13.70/3.09 | | % 13.70/3.09 | | GROUND_INST: instantiating (2) with all_73_2, all_73_1, simplifying with % 13.70/3.09 | | (16), (17), (19) gives: % 13.70/3.09 | | (21) ! [v0: $i] : ( ~ (model(v0, all_73_2) = 0) | ~ $i(v0)) & ? [v0: % 13.70/3.09 | | $i] : ? [v1: int] : ( ~ (v1 = 0) & model(v0, all_73_1) = v1 & % 13.70/3.09 | | $i(v0)) & ? [v0: $i] : (model(v0, all_73_1) = 0 & $i(v0)) % 13.70/3.09 | | % 13.70/3.09 | | ALPHA: (21) implies: % 13.70/3.09 | | (22) ! [v0: $i] : ( ~ (model(v0, all_73_2) = 0) | ~ $i(v0)) % 13.70/3.09 | | % 13.70/3.09 | | BETA: splitting (20) gives: % 13.70/3.09 | | % 13.70/3.09 | | Case 1: % 13.70/3.09 | | | % 13.70/3.09 | | | (23) all_73_0 = 0 % 13.70/3.10 | | | % 13.70/3.10 | | | REDUCE: (15), (23) imply: % 13.70/3.10 | | | (24) $false % 13.70/3.10 | | | % 13.70/3.10 | | | CLOSE: (24) is inconsistent. % 13.70/3.10 | | | % 13.70/3.10 | | Case 2: % 13.70/3.10 | | | % 13.70/3.10 | | | (25) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & model(v0, all_73_1) = % 13.70/3.10 | | | v1 & model(v0, all_73_2) = 0 & $i(v0)) % 13.70/3.10 | | | % 13.70/3.10 | | | DELTA: instantiating (25) with fresh symbols all_89_0, all_89_1 gives: % 13.70/3.10 | | | (26) ~ (all_89_0 = 0) & model(all_89_1, all_73_1) = all_89_0 & % 13.70/3.10 | | | model(all_89_1, all_73_2) = 0 & $i(all_89_1) % 13.70/3.10 | | | % 13.70/3.10 | | | ALPHA: (26) implies: % 13.70/3.10 | | | (27) $i(all_89_1) % 13.70/3.10 | | | (28) model(all_89_1, all_73_2) = 0 % 13.70/3.10 | | | % 13.70/3.10 | | | GROUND_INST: instantiating (22) with all_89_1, simplifying with (27), (28) % 13.70/3.10 | | | gives: % 13.70/3.10 | | | (29) $false % 13.70/3.10 | | | % 13.70/3.10 | | | CLOSE: (29) is inconsistent. % 13.70/3.10 | | | % 13.70/3.10 | | End of split % 13.70/3.10 | | % 13.70/3.10 | End of split % 13.70/3.10 | % 13.70/3.10 End of proof % 13.70/3.10 % SZS output end Proof for theBenchmark % 13.70/3.10 % 13.70/3.10 2065ms %------------------------------------------------------------------------------