TSTP Solution File: SYN062+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SYN062+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n011.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 03:26:25 EDT 2023
% Result : Theorem 3.15s 1.14s
% Output : Proof 3.97s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN062+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 18:42:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.61 ________ _____
% 0.19/0.61 ___ __ \_________(_)________________________________
% 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61
% 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61 (2023-06-19)
% 0.19/0.61
% 0.19/0.61 (c) Philipp Rümmer, 2009-2023
% 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61 Amanda Stjerna.
% 0.19/0.61 Free software under BSD-3-Clause.
% 0.19/0.61
% 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61
% 0.19/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.48/0.94 Prover 1: Preprocessing ...
% 1.48/0.94 Prover 4: Preprocessing ...
% 2.16/0.99 Prover 0: Preprocessing ...
% 2.16/0.99 Prover 3: Preprocessing ...
% 2.16/0.99 Prover 6: Preprocessing ...
% 2.16/0.99 Prover 2: Preprocessing ...
% 2.16/0.99 Prover 5: Preprocessing ...
% 2.65/1.06 Prover 2: Constructing countermodel ...
% 2.65/1.06 Prover 5: Constructing countermodel ...
% 2.65/1.06 Prover 6: Constructing countermodel ...
% 2.65/1.07 Prover 1: Constructing countermodel ...
% 2.65/1.09 Prover 3: Constructing countermodel ...
% 2.65/1.11 Prover 4: Constructing countermodel ...
% 3.15/1.13 Prover 5: proved (498ms)
% 3.15/1.14
% 3.15/1.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.15/1.14
% 3.15/1.14 Prover 6: stopped
% 3.15/1.14 Prover 2: stopped
% 3.15/1.14 Prover 3: stopped
% 3.15/1.14 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 3.15/1.14 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 3.15/1.14 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 3.15/1.14 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 3.15/1.16 Prover 10: Preprocessing ...
% 3.15/1.16 Prover 7: Preprocessing ...
% 3.15/1.16 Prover 8: Preprocessing ...
% 3.48/1.17 Prover 0: Proving ...
% 3.48/1.17 Prover 10: Constructing countermodel ...
% 3.48/1.17 Prover 7: Constructing countermodel ...
% 3.48/1.18 Prover 0: stopped
% 3.48/1.18 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 3.48/1.19 Prover 13: Preprocessing ...
% 3.48/1.19 Prover 11: Preprocessing ...
% 3.48/1.21 Prover 13: Constructing countermodel ...
% 3.48/1.21 Prover 10: Found proof (size 7)
% 3.48/1.21 Prover 10: proved (70ms)
% 3.48/1.21 Prover 11: stopped
% 3.48/1.21 Prover 13: stopped
% 3.48/1.21 Prover 7: stopped
% 3.48/1.22 Prover 1: stopped
% 3.48/1.22 Prover 4: stopped
% 3.48/1.22 Prover 8: Warning: ignoring some quantifiers
% 3.48/1.22 Prover 8: Constructing countermodel ...
% 3.48/1.23 Prover 8: stopped
% 3.48/1.23
% 3.48/1.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.48/1.23
% 3.48/1.24 % SZS output start Proof for theBenchmark
% 3.48/1.24 Assumptions after simplification:
% 3.48/1.24 ---------------------------------
% 3.48/1.24
% 3.48/1.24 (pel32)
% 3.48/1.24 ? [v0: $i] : ($i(v0) & big_k(v0) & big_f(v0) & ~ big_j(v0))
% 3.48/1.24
% 3.48/1.24 (pel32_1)
% 3.97/1.25 ! [v0: $i] : ( ~ $i(v0) | ~ big_h(v0) | ~ big_f(v0) | big_i(v0)) & ! [v0:
% 3.97/1.25 $i] : ( ~ $i(v0) | ~ big_g(v0) | ~ big_f(v0) | big_i(v0))
% 3.97/1.25
% 3.97/1.25 (pel32_2)
% 3.97/1.25 ! [v0: $i] : ( ~ $i(v0) | ~ big_i(v0) | ~ big_h(v0) | big_j(v0))
% 3.97/1.25
% 3.97/1.25 (pel32_3)
% 3.97/1.25 ! [v0: $i] : ( ~ $i(v0) | ~ big_k(v0) | big_h(v0))
% 3.97/1.25
% 3.97/1.25 Those formulas are unsatisfiable:
% 3.97/1.25 ---------------------------------
% 3.97/1.25
% 3.97/1.25 Begin of proof
% 3.97/1.25 |
% 3.97/1.25 | ALPHA: (pel32_1) implies:
% 3.97/1.25 | (1) ! [v0: $i] : ( ~ $i(v0) | ~ big_h(v0) | ~ big_f(v0) | big_i(v0))
% 3.97/1.25 |
% 3.97/1.25 | DELTA: instantiating (pel32) with fresh symbol all_5_0 gives:
% 3.97/1.25 | (2) $i(all_5_0) & big_k(all_5_0) & big_f(all_5_0) & ~ big_j(all_5_0)
% 3.97/1.25 |
% 3.97/1.25 | ALPHA: (2) implies:
% 3.97/1.25 | (3) ~ big_j(all_5_0)
% 3.97/1.26 | (4) big_f(all_5_0)
% 3.97/1.26 | (5) big_k(all_5_0)
% 3.97/1.26 | (6) $i(all_5_0)
% 3.97/1.26 |
% 3.97/1.26 | GROUND_INST: instantiating (pel32_3) with all_5_0, simplifying with (5), (6)
% 3.97/1.26 | gives:
% 3.97/1.26 | (7) big_h(all_5_0)
% 3.97/1.26 |
% 3.97/1.26 | GROUND_INST: instantiating (1) with all_5_0, simplifying with (4), (6), (7)
% 3.97/1.26 | gives:
% 3.97/1.26 | (8) big_i(all_5_0)
% 3.97/1.26 |
% 3.97/1.26 | GROUND_INST: instantiating (pel32_2) with all_5_0, simplifying with (3), (6),
% 3.97/1.26 | (7), (8) gives:
% 3.97/1.26 | (9) $false
% 3.97/1.26 |
% 3.97/1.26 | CLOSE: (9) is inconsistent.
% 3.97/1.26 |
% 3.97/1.26 End of proof
% 3.97/1.26 % SZS output end Proof for theBenchmark
% 3.97/1.26
% 3.97/1.26 654ms
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