%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NUM904_1 : TPTP v8.1.2. Released v5.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n014.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 11:50:38 EDT 2023 % Result : Theorem 6.34s 1.64s % Output : Proof 7.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : NUM904_1 : TPTP v8.1.2. Released v5.0.0. % 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.35 % Computer : n014.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Aug 25 15:30:03 EDT 2023 % 0.14/0.35 % CPUTime : % 0.22/0.63 ________ _____ % 0.22/0.63 ___ __ \_________(_)________________________________ % 0.22/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.22/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.22/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.22/0.63 % 0.22/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.22/0.63 (2023-06-19) % 0.22/0.63 % 0.22/0.63 (c) Philipp Rümmer, 2009-2023 % 0.22/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.22/0.63 Amanda Stjerna. % 0.22/0.63 Free software under BSD-3-Clause. % 0.22/0.63 % 0.22/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.22/0.63 % 0.22/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.22/0.64 Running up to 7 provers in parallel. % 0.22/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.22/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.22/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.22/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.22/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.22/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.22/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.74/0.95 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation % 1.74/0.95 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation % 1.74/0.95 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation % 1.74/0.95 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation % 1.74/0.95 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation % 1.74/0.95 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation % 1.74/0.95 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation % 2.18/1.03 Prover 4: Preprocessing ... % 2.18/1.03 Prover 1: Preprocessing ... % 2.46/1.08 Prover 5: Preprocessing ... % 2.46/1.08 Prover 6: Preprocessing ... % 2.46/1.08 Prover 3: Preprocessing ... % 2.46/1.08 Prover 2: Preprocessing ... % 2.46/1.08 Prover 0: Preprocessing ... % 4.29/1.48 Prover 6: Constructing countermodel ... % 4.29/1.49 Prover 5: Proving ... % 4.29/1.50 Prover 3: Constructing countermodel ... % 4.29/1.50 Prover 1: Constructing countermodel ... % 4.29/1.50 Prover 2: Proving ... % 4.98/1.52 Prover 4: Constructing countermodel ... % 4.98/1.56 Prover 0: Proving ... % 6.34/1.64 Prover 6: proved (970ms) % 6.34/1.64 % 6.34/1.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.34/1.64 % 6.34/1.64 Prover 3: stopped % 6.34/1.65 Prover 2: stopped % 6.34/1.65 Prover 0: stopped % 6.34/1.66 Prover 5: proved (979ms) % 6.34/1.66 % 6.34/1.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.34/1.66 % 6.34/1.66 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.34/1.66 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation % 6.34/1.66 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.34/1.66 Prover 7: Preprocessing ... % 6.34/1.66 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.34/1.66 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation % 6.34/1.66 Prover 10: Warning: Problem contains rationals, using incomplete axiomatisation % 6.34/1.66 Prover 1: Found proof (size 6) % 6.34/1.66 Prover 1: proved (1011ms) % 6.34/1.66 Prover 8: Preprocessing ... % 6.34/1.66 Prover 10: Preprocessing ... % 6.34/1.66 Prover 4: stopped % 6.34/1.66 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.34/1.66 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.34/1.67 Prover 13: Warning: Problem contains rationals, using incomplete axiomatisation % 6.34/1.67 Prover 11: Warning: Problem contains rationals, using incomplete axiomatisation % 6.34/1.67 Prover 11: Preprocessing ... % 6.34/1.67 Prover 7: stopped % 6.34/1.67 Prover 13: Preprocessing ... % 6.34/1.69 Prover 10: stopped % 6.34/1.71 Prover 11: stopped % 6.34/1.71 Prover 13: stopped % 6.96/1.75 Prover 8: Warning: ignoring some quantifiers % 6.96/1.76 Prover 8: Constructing countermodel ... % 6.96/1.77 Prover 8: stopped % 6.96/1.77 % 6.96/1.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.96/1.77 % 6.96/1.77 % SZS output start Proof for theBenchmark % 6.96/1.77 Assumptions after simplification: % 6.96/1.77 --------------------------------- % 6.96/1.77 % 6.96/1.77 (rat_uminus_problem_8) % 7.32/1.80 ? [v0: $rat] : ? [v1: $rat] : ? [v2: $rat] : ( ~ (v2 = rat_0) & % 7.32/1.80 rat_$uminus(v0) = v1 & rat_$sum(v0, v1) = v2) % 7.32/1.80 % 7.32/1.80 (input) % 7.32/1.82 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_0) & ~ % 7.32/1.82 (rat_very_small = rat_0) & rat_$is_int(rat_0) = 0 & rat_$is_rat(rat_0) = 0 & % 7.32/1.82 rat_$floor(rat_0) = rat_0 & rat_$ceiling(rat_0) = rat_0 & rat_$truncate(rat_0) % 7.32/1.82 = rat_0 & rat_$round(rat_0) = rat_0 & rat_$to_int(rat_0) = 0 & % 7.32/1.82 rat_$to_rat(rat_0) = rat_0 & rat_$to_real(rat_0) = real_0 & int_$to_rat(0) = % 7.32/1.82 rat_0 & rat_$product(rat_0, rat_0) = rat_0 & rat_$difference(rat_0, rat_0) = % 7.32/1.82 rat_0 & rat_$greatereq(rat_very_small, rat_very_large) = 1 & % 7.32/1.82 rat_$greatereq(rat_0, rat_0) = 0 & rat_$lesseq(rat_very_small, rat_very_large) % 7.32/1.82 = 0 & rat_$lesseq(rat_0, rat_0) = 0 & rat_$greater(rat_very_large, rat_0) = 0 % 7.32/1.82 & rat_$greater(rat_very_small, rat_very_large) = 1 & rat_$greater(rat_0, % 7.32/1.82 rat_very_small) = 0 & rat_$greater(rat_0, rat_0) = 1 & % 7.32/1.82 rat_$less(rat_very_small, rat_very_large) = 0 & rat_$less(rat_very_small, % 7.32/1.82 rat_0) = 0 & rat_$less(rat_0, rat_very_large) = 0 & rat_$less(rat_0, rat_0) % 7.32/1.82 = 1 & rat_$uminus(rat_0) = rat_0 & rat_$sum(rat_0, rat_0) = rat_0 & ! [v0: % 7.32/1.82 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ! [v4: $rat] : ( ~ % 7.32/1.82 (rat_$sum(v3, v0) = v4) | ~ (rat_$sum(v2, v1) = v3) | ? [v5: $rat] : % 7.32/1.82 (rat_$sum(v2, v5) = v4 & rat_$sum(v1, v0) = v5)) & ! [v0: $rat] : ! [v1: % 7.32/1.82 $rat] : ! [v2: $rat] : ! [v3: $rat] : (v3 = v1 | v0 = rat_0 | ~ % 7.32/1.82 (rat_$quotient(v2, v0) = v3) | ~ (rat_$product(v1, v0) = v2)) & ! [v0: % 7.32/1.82 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ % 7.32/1.82 (rat_$lesseq(v2, v0) = v3) | ~ (rat_$lesseq(v1, v0) = 0) | ? [v4: int] : ( % 7.32/1.82 ~ (v4 = 0) & rat_$lesseq(v2, v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : % 7.32/1.82 ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ (rat_$lesseq(v1, v0) = 0) | ~ % 7.32/1.82 (rat_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) & rat_$less(v2, v1) = % 7.32/1.82 v4)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ( ~ % 7.32/1.82 (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1, v2) = v3) | rat_$difference(v1, % 7.32/1.82 v0) = v3) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : (v2 = rat_0 | % 7.32/1.82 ~ (rat_$uminus(v0) = v1) | ~ (rat_$sum(v0, v1) = v2)) & ! [v0: $rat] : ! % 7.32/1.82 [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ (rat_$greatereq(v0, v1) = v2) | ? % 7.32/1.82 [v3: int] : ( ~ (v3 = 0) & rat_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! % 7.32/1.82 [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ (rat_$lesseq(v1, v0) = v2) | ( ~ (v1 % 7.32/1.82 = v0) & ? [v3: int] : ( ~ (v3 = 0) & rat_$less(v1, v0) = v3))) & ! % 7.32/1.82 [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | ~ (rat_$greater(v0, v1) % 7.32/1.82 = v2) | ? [v3: int] : ( ~ (v3 = 0) & rat_$less(v1, v0) = v3)) & ! [v0: % 7.32/1.82 $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) | % 7.32/1.82 rat_$product(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : % 7.32/1.82 ( ~ (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v1, v0) = 0) | rat_$less(v2, v0) % 7.32/1.82 = 0) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) % 7.32/1.82 = v2) | rat_$sum(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 % 7.32/1.82 | ~ (rat_$lesseq(v1, v0) = 0) | rat_$less(v1, v0) = 0) & ! [v0: $rat] : ! % 7.32/1.82 [v1: $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) = v1)) & ! [v0: $rat] : ! % 7.32/1.82 [v1: $rat] : ( ~ (rat_$greatereq(v0, v1) = 0) | rat_$lesseq(v1, v0) = 0) & ! % 7.32/1.82 [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$greater(v0, v1) = 0) | rat_$less(v1, % 7.32/1.82 v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$uminus(v0) = v1) | % 7.32/1.82 rat_$uminus(v1) = v0) & ! [v0: $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) = % 7.32/1.82 v0)) % 7.32/1.82 % 7.32/1.82 Those formulas are unsatisfiable: % 7.32/1.82 --------------------------------- % 7.32/1.82 % 7.32/1.82 Begin of proof % 7.32/1.83 | % 7.32/1.83 | ALPHA: (input) implies: % 7.32/1.83 | (1) ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : (v2 = rat_0 | ~ % 7.32/1.83 | (rat_$uminus(v0) = v1) | ~ (rat_$sum(v0, v1) = v2)) % 7.32/1.83 | % 7.32/1.83 | DELTA: instantiating (rat_uminus_problem_8) with fresh symbols all_5_0, % 7.32/1.83 | all_5_1, all_5_2 gives: % 7.32/1.83 | (2) ~ (all_5_0 = rat_0) & rat_$uminus(all_5_2) = all_5_1 & % 7.32/1.83 | rat_$sum(all_5_2, all_5_1) = all_5_0 % 7.32/1.83 | % 7.32/1.83 | ALPHA: (2) implies: % 7.32/1.83 | (3) ~ (all_5_0 = rat_0) % 7.32/1.83 | (4) rat_$sum(all_5_2, all_5_1) = all_5_0 % 7.32/1.83 | (5) rat_$uminus(all_5_2) = all_5_1 % 7.32/1.83 | % 7.32/1.83 | GROUND_INST: instantiating (1) with all_5_2, all_5_1, all_5_0, simplifying % 7.32/1.83 | with (4), (5) gives: % 7.32/1.83 | (6) all_5_0 = rat_0 % 7.32/1.83 | % 7.32/1.83 | REDUCE: (3), (6) imply: % 7.32/1.83 | (7) $false % 7.32/1.83 | % 7.32/1.83 | CLOSE: (7) is inconsistent. % 7.32/1.83 | % 7.32/1.83 End of proof % 7.32/1.84 % SZS output end Proof for theBenchmark % 7.32/1.84 % 7.32/1.84 1207ms %------------------------------------------------------------------------------