TSTP Solution File: SYN931+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SYN931+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n029.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 : Fri Sep 1 03:29:16 EDT 2023
% Result : Theorem 2.86s 1.14s
% Output : Proof 3.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN931+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 18:09:40 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.62 ________ _____
% 0.21/0.62 ___ __ \_________(_)________________________________
% 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.63
% 0.21/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.63 (2023-06-19)
% 0.21/0.63
% 0.21/0.63 (c) Philipp Rümmer, 2009-2023
% 0.21/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.63 Amanda Stjerna.
% 0.21/0.63 Free software under BSD-3-Clause.
% 0.21/0.63
% 0.21/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.63
% 0.21/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.64 Running up to 7 provers in parallel.
% 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.87/0.97 Prover 1: Preprocessing ...
% 1.87/0.97 Prover 4: Preprocessing ...
% 1.87/1.02 Prover 2: Preprocessing ...
% 1.87/1.02 Prover 3: Preprocessing ...
% 1.87/1.02 Prover 6: Preprocessing ...
% 1.87/1.02 Prover 5: Preprocessing ...
% 1.87/1.02 Prover 0: Preprocessing ...
% 2.40/1.07 Prover 5: Constructing countermodel ...
% 2.40/1.07 Prover 2: Constructing countermodel ...
% 2.40/1.07 Prover 3: Constructing countermodel ...
% 2.40/1.07 Prover 4: Constructing countermodel ...
% 2.40/1.08 Prover 1: Constructing countermodel ...
% 2.40/1.08 Prover 0: Proving ...
% 2.40/1.09 Prover 6: Proving ...
% 2.86/1.14 Prover 2: proved (488ms)
% 2.86/1.14
% 2.86/1.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.86/1.14
% 2.86/1.14 Prover 3: stopped
% 2.86/1.14 Prover 6: stopped
% 2.86/1.14 Prover 0: stopped
% 2.86/1.14 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 2.86/1.14 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 2.86/1.14 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 2.86/1.14 Prover 5: stopped
% 2.86/1.15 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 2.86/1.15 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 2.86/1.15 Prover 8: Preprocessing ...
% 2.86/1.15 Prover 10: Preprocessing ...
% 2.86/1.16 Prover 13: Preprocessing ...
% 2.86/1.16 Prover 10: Constructing countermodel ...
% 2.86/1.17 Prover 11: Preprocessing ...
% 2.86/1.17 Prover 7: Preprocessing ...
% 2.86/1.17 Prover 13: Constructing countermodel ...
% 2.86/1.18 Prover 10: Found proof (size 4)
% 2.86/1.18 Prover 10: proved (33ms)
% 2.86/1.18 Prover 1: stopped
% 2.86/1.18 Prover 8: Warning: ignoring some quantifiers
% 2.86/1.18 Prover 13: stopped
% 2.86/1.18 Prover 8: Constructing countermodel ...
% 2.86/1.18 Prover 4: Found proof (size 9)
% 2.86/1.18 Prover 4: proved (529ms)
% 2.86/1.18 Prover 8: stopped
% 2.86/1.19 Prover 7: Constructing countermodel ...
% 2.86/1.19 Prover 7: stopped
% 2.86/1.19 Prover 11: Constructing countermodel ...
% 2.86/1.19 Prover 11: stopped
% 2.86/1.19
% 2.86/1.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.86/1.19
% 2.86/1.20 % SZS output start Proof for theBenchmark
% 2.86/1.20 Assumptions after simplification:
% 2.86/1.20 ---------------------------------
% 2.86/1.20
% 2.86/1.20 (prove_this)
% 3.27/1.20 ? [v0: $i] : ($i(v0) & c & p(v0) & ! [v1: $i] : ( ~ $i(v1) | ~ p(v1)))
% 3.27/1.20
% 3.27/1.20 Those formulas are unsatisfiable:
% 3.27/1.20 ---------------------------------
% 3.27/1.20
% 3.27/1.20 Begin of proof
% 3.27/1.20 |
% 3.27/1.20 | DELTA: instantiating (prove_this) with fresh symbol all_2_0 gives:
% 3.27/1.21 | (1) $i(all_2_0) & c & p(all_2_0) & ! [v0: $i] : ( ~ $i(v0) | ~ p(v0))
% 3.27/1.21 |
% 3.27/1.21 | ALPHA: (1) implies:
% 3.27/1.21 | (2) p(all_2_0)
% 3.27/1.21 | (3) $i(all_2_0)
% 3.27/1.21 | (4) ! [v0: $i] : ( ~ $i(v0) | ~ p(v0))
% 3.27/1.21 |
% 3.27/1.21 | GROUND_INST: instantiating (4) with all_2_0, simplifying with (2), (3) gives:
% 3.27/1.21 | (5) $false
% 3.27/1.21 |
% 3.27/1.21 | CLOSE: (5) is inconsistent.
% 3.27/1.21 |
% 3.27/1.21 End of proof
% 3.27/1.21 % SZS output end Proof for theBenchmark
% 3.27/1.21
% 3.27/1.21 583ms
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