TSTP Solution File: SEU163+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SEU163+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n021.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 17:42:57 EDT 2023
% Result : Theorem 3.59s 1.22s
% Output : Proof 4.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU163+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 18:59:09 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.59 ________ _____
% 0.19/0.59 ___ __ \_________(_)________________________________
% 0.19/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.59
% 0.19/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.59 (2023-06-19)
% 0.19/0.59
% 0.19/0.59 (c) Philipp Rümmer, 2009-2023
% 0.19/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.59 Amanda Stjerna.
% 0.19/0.59 Free software under BSD-3-Clause.
% 0.19/0.59
% 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.59
% 0.19/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.60 Running up to 7 provers in parallel.
% 0.19/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.86/0.98 Prover 1: Preprocessing ...
% 1.86/0.98 Prover 4: Preprocessing ...
% 1.86/1.03 Prover 2: Preprocessing ...
% 1.86/1.03 Prover 0: Preprocessing ...
% 1.86/1.03 Prover 6: Preprocessing ...
% 1.86/1.03 Prover 3: Preprocessing ...
% 2.48/1.04 Prover 5: Preprocessing ...
% 2.84/1.11 Prover 1: Warning: ignoring some quantifiers
% 2.84/1.12 Prover 3: Warning: ignoring some quantifiers
% 2.84/1.13 Prover 2: Proving ...
% 2.84/1.13 Prover 5: Proving ...
% 2.84/1.13 Prover 6: Proving ...
% 2.84/1.13 Prover 1: Constructing countermodel ...
% 2.84/1.13 Prover 3: Constructing countermodel ...
% 2.84/1.13 Prover 4: Constructing countermodel ...
% 3.23/1.15 Prover 0: Proving ...
% 3.59/1.21 Prover 3: proved (600ms)
% 3.59/1.22
% 3.59/1.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.59/1.22
% 3.59/1.22 Prover 6: stopped
% 3.59/1.22 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 3.59/1.22 Prover 2: proved (608ms)
% 3.59/1.22
% 3.59/1.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.59/1.22
% 3.59/1.23 Prover 5: proved (605ms)
% 3.59/1.23
% 3.59/1.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.59/1.23
% 3.59/1.24 Prover 0: stopped
% 3.89/1.25 Prover 7: Preprocessing ...
% 3.89/1.25 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 3.89/1.25 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 3.89/1.25 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 3.89/1.25 Prover 8: Preprocessing ...
% 3.89/1.25 Prover 10: Preprocessing ...
% 3.89/1.25 Prover 7: Warning: ignoring some quantifiers
% 3.89/1.25 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 3.89/1.25 Prover 7: Constructing countermodel ...
% 3.89/1.26 Prover 13: Preprocessing ...
% 3.89/1.26 Prover 11: Preprocessing ...
% 3.89/1.27 Prover 10: Warning: ignoring some quantifiers
% 3.89/1.27 Prover 10: Constructing countermodel ...
% 3.89/1.28 Prover 8: Warning: ignoring some quantifiers
% 3.89/1.29 Prover 8: Constructing countermodel ...
% 3.89/1.31 Prover 13: Warning: ignoring some quantifiers
% 3.89/1.31 Prover 7: Found proof (size 4)
% 3.89/1.31 Prover 10: Found proof (size 4)
% 3.89/1.31 Prover 1: Found proof (size 12)
% 3.89/1.31 Prover 7: proved (87ms)
% 3.89/1.31 Prover 10: proved (72ms)
% 3.89/1.31 Prover 4: Found proof (size 13)
% 3.89/1.31 Prover 4: proved (690ms)
% 3.89/1.31 Prover 8: stopped
% 3.89/1.31 Prover 1: proved (697ms)
% 3.89/1.31 Prover 13: Constructing countermodel ...
% 3.89/1.31 Prover 13: stopped
% 3.89/1.31 Prover 11: Constructing countermodel ...
% 3.89/1.32 Prover 11: stopped
% 3.89/1.32
% 3.89/1.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.89/1.32
% 3.89/1.32 % SZS output start Proof for theBenchmark
% 3.89/1.32 Assumptions after simplification:
% 3.89/1.32 ---------------------------------
% 3.89/1.32
% 3.89/1.33 (l50_zfmisc_1)
% 4.48/1.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (union(v1) = v2) | ~ $i(v1) |
% 4.48/1.36 ~ $i(v0) | ~ in(v0, v1) | subset(v0, v2))
% 4.48/1.36
% 4.48/1.36 (t92_zfmisc_1)
% 4.48/1.36 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (union(v1) = v2 & $i(v2) & $i(v1) &
% 4.48/1.36 $i(v0) & in(v0, v1) & ~ subset(v0, v2))
% 4.48/1.36
% 4.48/1.36 Further assumptions not needed in the proof:
% 4.48/1.36 --------------------------------------------
% 4.48/1.36 antisymmetry_r2_hidden, rc1_xboole_0, rc2_xboole_0, reflexivity_r1_tarski
% 4.48/1.36
% 4.48/1.36 Those formulas are unsatisfiable:
% 4.48/1.36 ---------------------------------
% 4.48/1.36
% 4.48/1.36 Begin of proof
% 4.48/1.36 |
% 4.48/1.36 | DELTA: instantiating (t92_zfmisc_1) with fresh symbols all_10_0, all_10_1,
% 4.48/1.36 | all_10_2 gives:
% 4.48/1.36 | (1) union(all_10_1) = all_10_0 & $i(all_10_0) & $i(all_10_1) & $i(all_10_2)
% 4.48/1.36 | & in(all_10_2, all_10_1) & ~ subset(all_10_2, all_10_0)
% 4.48/1.36 |
% 4.48/1.36 | ALPHA: (1) implies:
% 4.48/1.36 | (2) ~ subset(all_10_2, all_10_0)
% 4.48/1.36 | (3) in(all_10_2, all_10_1)
% 4.48/1.36 | (4) $i(all_10_2)
% 4.48/1.36 | (5) $i(all_10_1)
% 4.48/1.36 | (6) union(all_10_1) = all_10_0
% 4.48/1.36 |
% 4.48/1.36 | GROUND_INST: instantiating (l50_zfmisc_1) with all_10_2, all_10_1, all_10_0,
% 4.48/1.36 | simplifying with (2), (3), (4), (5), (6) gives:
% 4.48/1.37 | (7) $false
% 4.48/1.37 |
% 4.48/1.37 | CLOSE: (7) is inconsistent.
% 4.48/1.37 |
% 4.48/1.37 End of proof
% 4.48/1.37 % SZS output end Proof for theBenchmark
% 4.48/1.37
% 4.48/1.37 773ms
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