TSTP Solution File: SYN071+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SYN071+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 : 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 03:26:28 EDT 2023
% Result : Theorem 2.56s 1.11s
% Output : Proof 3.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN071+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 18:09:25 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.62 ________ _____
% 0.21/0.62 ___ __ \_________(_)________________________________
% 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.62
% 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.62 (2023-06-19)
% 0.21/0.62
% 0.21/0.62 (c) Philipp Rümmer, 2009-2023
% 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.62 Amanda Stjerna.
% 0.21/0.62 Free software under BSD-3-Clause.
% 0.21/0.62
% 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.62
% 0.21/0.62 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
% 1.60/0.98 Prover 4: Preprocessing ...
% 1.60/0.98 Prover 1: Preprocessing ...
% 2.11/1.02 Prover 3: Preprocessing ...
% 2.11/1.02 Prover 2: Preprocessing ...
% 2.11/1.02 Prover 5: Preprocessing ...
% 2.11/1.02 Prover 6: Preprocessing ...
% 2.11/1.02 Prover 0: Preprocessing ...
% 2.11/1.03 Prover 1: Constructing countermodel ...
% 2.11/1.03 Prover 4: Constructing countermodel ...
% 2.11/1.04 Prover 0: Constructing countermodel ...
% 2.11/1.05 Prover 2: Constructing countermodel ...
% 2.11/1.05 Prover 3: Constructing countermodel ...
% 2.11/1.05 Prover 5: Constructing countermodel ...
% 2.11/1.05 Prover 6: Constructing countermodel ...
% 2.56/1.11 Prover 5: proved (457ms)
% 2.56/1.11 Prover 3: proved (462ms)
% 2.56/1.11
% 2.56/1.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/1.11
% 2.56/1.11
% 2.56/1.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/1.11
% 2.56/1.11 Prover 0: proved (464ms)
% 2.56/1.11
% 2.56/1.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/1.11
% 2.56/1.12 Prover 2: proved (463ms)
% 2.56/1.12
% 2.56/1.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/1.12
% 2.56/1.12 Prover 6: proved (457ms)
% 2.56/1.12
% 2.56/1.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/1.12
% 2.56/1.12 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 2.56/1.12 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 2.56/1.12 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 2.56/1.12 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 2.56/1.12 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 2.56/1.12 Prover 7: Preprocessing ...
% 2.56/1.13 Prover 13: Preprocessing ...
% 2.56/1.13 Prover 7: Constructing countermodel ...
% 2.56/1.14 Prover 10: Preprocessing ...
% 2.56/1.14 Prover 11: Preprocessing ...
% 2.56/1.14 Prover 8: Preprocessing ...
% 2.56/1.14 Prover 13: Constructing countermodel ...
% 2.56/1.15 Prover 11: Constructing countermodel ...
% 2.56/1.16 Prover 10: Constructing countermodel ...
% 2.56/1.16 Prover 8: Constructing countermodel ...
% 2.56/1.16 Prover 4: Found proof (size 20)
% 2.56/1.16 Prover 4: proved (515ms)
% 2.56/1.16 Prover 13: stopped
% 2.56/1.16 Prover 10: stopped
% 2.56/1.16 Prover 11: stopped
% 2.56/1.16 Prover 7: stopped
% 2.56/1.16 Prover 8: stopped
% 3.08/1.17 Prover 1: Found proof (size 20)
% 3.08/1.17 Prover 1: proved (526ms)
% 3.08/1.17
% 3.08/1.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.08/1.17
% 3.09/1.18 % SZS output start Proof for theBenchmark
% 3.09/1.18 Assumptions after simplification:
% 3.09/1.18 ---------------------------------
% 3.09/1.18
% 3.09/1.18 (pel48)
% 3.09/1.18 ~ (c = b) & ~ (d = a) & $i(c) & $i(d) & $i(a) & $i(b)
% 3.09/1.18
% 3.09/1.19 (pel48_1)
% 3.09/1.19 $i(c) & $i(d) & $i(a) & $i(b) & (c = d | a = b)
% 3.09/1.19
% 3.09/1.19 (pel48_2)
% 3.09/1.19 $i(c) & $i(d) & $i(a) & $i(b) & (c = a | d = b)
% 3.09/1.19
% 3.09/1.19 Those formulas are unsatisfiable:
% 3.09/1.19 ---------------------------------
% 3.09/1.19
% 3.09/1.19 Begin of proof
% 3.09/1.19 |
% 3.09/1.19 | ALPHA: (pel48) implies:
% 3.09/1.19 | (1) ~ (d = a)
% 3.09/1.19 | (2) ~ (c = b)
% 3.09/1.19 |
% 3.09/1.19 | ALPHA: (pel48_2) implies:
% 3.09/1.19 | (3) c = a | d = b
% 3.09/1.19 |
% 3.09/1.19 | ALPHA: (pel48_1) implies:
% 3.09/1.19 | (4) c = d | a = b
% 3.09/1.19 |
% 3.09/1.19 | BETA: splitting (3) gives:
% 3.09/1.19 |
% 3.09/1.19 | Case 1:
% 3.09/1.19 | |
% 3.09/1.19 | | (5) c = a
% 3.09/1.19 | |
% 3.09/1.19 | | REDUCE: (2), (5) imply:
% 3.09/1.19 | | (6) ~ (a = b)
% 3.09/1.19 | |
% 3.09/1.19 | | BETA: splitting (4) gives:
% 3.09/1.19 | |
% 3.09/1.19 | | Case 1:
% 3.09/1.19 | | |
% 3.09/1.19 | | | (7) c = d
% 3.09/1.19 | | |
% 3.09/1.19 | | | COMBINE_EQS: (5), (7) imply:
% 3.09/1.19 | | | (8) d = a
% 3.09/1.19 | | |
% 3.09/1.19 | | | SIMP: (8) implies:
% 3.09/1.19 | | | (9) d = a
% 3.09/1.19 | | |
% 3.09/1.19 | | | REDUCE: (1), (9) imply:
% 3.09/1.19 | | | (10) $false
% 3.09/1.20 | | |
% 3.09/1.20 | | | CLOSE: (10) is inconsistent.
% 3.09/1.20 | | |
% 3.09/1.20 | | Case 2:
% 3.09/1.20 | | |
% 3.09/1.20 | | | (11) a = b
% 3.09/1.20 | | |
% 3.09/1.20 | | | REDUCE: (6), (11) imply:
% 3.09/1.20 | | | (12) $false
% 3.09/1.20 | | |
% 3.09/1.20 | | | CLOSE: (12) is inconsistent.
% 3.09/1.20 | | |
% 3.09/1.20 | | End of split
% 3.09/1.20 | |
% 3.09/1.20 | Case 2:
% 3.09/1.20 | |
% 3.09/1.20 | | (13) d = b
% 3.09/1.20 | |
% 3.09/1.20 | | REDUCE: (1), (13) imply:
% 3.09/1.20 | | (14) ~ (a = b)
% 3.09/1.20 | |
% 3.09/1.20 | | SIMP: (14) implies:
% 3.09/1.20 | | (15) ~ (a = b)
% 3.09/1.20 | |
% 3.09/1.20 | | BETA: splitting (4) gives:
% 3.09/1.20 | |
% 3.09/1.20 | | Case 1:
% 3.09/1.20 | | |
% 3.09/1.20 | | | (16) c = d
% 3.09/1.20 | | |
% 3.09/1.20 | | | COMBINE_EQS: (13), (16) imply:
% 3.09/1.20 | | | (17) c = b
% 3.09/1.20 | | |
% 3.09/1.20 | | | REDUCE: (2), (17) imply:
% 3.09/1.20 | | | (18) $false
% 3.09/1.20 | | |
% 3.09/1.20 | | | CLOSE: (18) is inconsistent.
% 3.09/1.20 | | |
% 3.09/1.20 | | Case 2:
% 3.09/1.20 | | |
% 3.09/1.20 | | | (19) a = b
% 3.09/1.20 | | |
% 3.09/1.20 | | | REDUCE: (15), (19) imply:
% 3.09/1.20 | | | (20) $false
% 3.09/1.20 | | |
% 3.09/1.20 | | | CLOSE: (20) is inconsistent.
% 3.09/1.20 | | |
% 3.09/1.20 | | End of split
% 3.09/1.20 | |
% 3.09/1.20 | End of split
% 3.09/1.20 |
% 3.09/1.20 End of proof
% 3.09/1.20 % SZS output end Proof for theBenchmark
% 3.09/1.20
% 3.09/1.20 576ms
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