TSTP Solution File: SYN356+1 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SYN356+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 : n022.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 03:27:20 EDT 2023
% Result : Theorem 3.35s 1.23s
% Output : Proof 3.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN356+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n022.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 20:29:09 EDT 2023
% 0.13/0.35 % 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 ...
% 0.21/0.63 Running up to 7 provers in parallel.
% 0.21/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.90/1.01 Prover 1: Preprocessing ...
% 1.90/1.01 Prover 4: Preprocessing ...
% 1.90/1.06 Prover 2: Preprocessing ...
% 1.90/1.06 Prover 5: Preprocessing ...
% 1.90/1.06 Prover 0: Preprocessing ...
% 1.90/1.06 Prover 6: Preprocessing ...
% 1.90/1.06 Prover 3: Preprocessing ...
% 2.88/1.14 Prover 5: Constructing countermodel ...
% 2.88/1.14 Prover 2: Constructing countermodel ...
% 2.88/1.14 Prover 1: Constructing countermodel ...
% 2.88/1.15 Prover 6: Proving ...
% 2.88/1.15 Prover 3: Constructing countermodel ...
% 2.88/1.15 Prover 4: Constructing countermodel ...
% 2.88/1.16 Prover 0: Proving ...
% 3.35/1.22 Prover 2: proved (574ms)
% 3.35/1.22
% 3.35/1.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.35/1.23
% 3.35/1.23 Prover 3: stopped
% 3.35/1.23 Prover 5: stopped
% 3.35/1.23 Prover 0: stopped
% 3.35/1.24 Prover 6: stopped
% 3.35/1.24 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 3.35/1.24 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 3.35/1.24 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 3.35/1.24 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 3.35/1.24 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 3.35/1.24 Prover 7: Preprocessing ...
% 3.35/1.25 Prover 10: Preprocessing ...
% 3.35/1.25 Prover 8: Preprocessing ...
% 3.35/1.25 Prover 13: Preprocessing ...
% 3.35/1.25 Prover 11: Preprocessing ...
% 3.35/1.26 Prover 7: Constructing countermodel ...
% 3.86/1.27 Prover 10: Constructing countermodel ...
% 3.86/1.28 Prover 13: Constructing countermodel ...
% 3.86/1.28 Prover 8: Warning: ignoring some quantifiers
% 3.86/1.29 Prover 8: Constructing countermodel ...
% 3.86/1.31 Prover 7: Found proof (size 10)
% 3.86/1.32 Prover 11: Constructing countermodel ...
% 3.86/1.32 Prover 10: Found proof (size 10)
% 3.86/1.32 Prover 13: Found proof (size 10)
% 3.86/1.32 Prover 1: Found proof (size 17)
% 3.86/1.32 Prover 1: proved (681ms)
% 3.86/1.32 Prover 10: proved (83ms)
% 3.86/1.32 Prover 13: proved (82ms)
% 3.86/1.32 Prover 7: proved (91ms)
% 3.86/1.32 Prover 8: stopped
% 3.86/1.32 Prover 4: stopped
% 3.86/1.32 Prover 11: stopped
% 3.86/1.32
% 3.86/1.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.86/1.32
% 3.86/1.33 % SZS output start Proof for theBenchmark
% 3.86/1.33 Assumptions after simplification:
% 3.86/1.33 ---------------------------------
% 3.86/1.33
% 3.86/1.33 (x2107)
% 3.86/1.34 $i(b) & $i(a) & big_r(a, b) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~
% 3.86/1.34 $i(v0) | ~ big_q(v0, v1) | big_q(v0, v0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 3.86/1.34 $i(v1) | ~ $i(v0) | ~ big_r(v0, v1) | big_q(v0, v1)) & ! [v0: $i] : !
% 3.86/1.34 [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ big_r(v0, v1) | big_r(v1, v0)) & ( ~
% 3.86/1.34 big_q(b, b) | ~ big_q(a, a))
% 3.86/1.34
% 3.86/1.34 Those formulas are unsatisfiable:
% 3.86/1.34 ---------------------------------
% 3.86/1.34
% 3.86/1.34 Begin of proof
% 3.86/1.34 |
% 3.86/1.34 | ALPHA: (x2107) implies:
% 3.86/1.34 | (1) big_r(a, b)
% 3.86/1.34 | (2) $i(a)
% 3.86/1.34 | (3) $i(b)
% 3.86/1.34 | (4) ~ big_q(b, b) | ~ big_q(a, a)
% 3.86/1.35 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ big_r(v0, v1) |
% 3.86/1.35 | big_r(v1, v0))
% 3.86/1.35 | (6) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ big_r(v0, v1) |
% 3.86/1.35 | big_q(v0, v1))
% 3.86/1.35 | (7) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ big_q(v0, v1) |
% 3.86/1.35 | big_q(v0, v0))
% 3.86/1.35 |
% 3.86/1.35 | GROUND_INST: instantiating (6) with a, b, simplifying with (1), (2), (3)
% 3.86/1.35 | gives:
% 3.86/1.35 | (8) big_q(a, b)
% 3.86/1.35 |
% 3.86/1.35 | GROUND_INST: instantiating (5) with a, b, simplifying with (1), (2), (3)
% 3.86/1.35 | gives:
% 3.86/1.35 | (9) big_r(b, a)
% 3.86/1.35 |
% 3.86/1.35 | GROUND_INST: instantiating (6) with b, a, simplifying with (2), (3), (9)
% 3.86/1.35 | gives:
% 3.86/1.35 | (10) big_q(b, a)
% 3.86/1.35 |
% 3.86/1.35 | GROUND_INST: instantiating (7) with a, b, simplifying with (2), (3), (8)
% 3.86/1.35 | gives:
% 3.86/1.35 | (11) big_q(a, a)
% 3.86/1.35 |
% 3.86/1.35 | BETA: splitting (4) gives:
% 3.86/1.35 |
% 3.86/1.35 | Case 1:
% 3.86/1.35 | |
% 3.86/1.35 | | (12) ~ big_q(b, b)
% 3.86/1.35 | |
% 3.86/1.35 | | GROUND_INST: instantiating (7) with b, a, simplifying with (2), (3), (10),
% 3.86/1.35 | | (12) gives:
% 3.86/1.35 | | (13) $false
% 3.86/1.36 | |
% 3.86/1.36 | | CLOSE: (13) is inconsistent.
% 3.86/1.36 | |
% 3.86/1.36 | Case 2:
% 3.86/1.36 | |
% 3.86/1.36 | | (14) ~ big_q(a, a)
% 3.86/1.36 | |
% 3.86/1.36 | | PRED_UNIFY: (11), (14) imply:
% 3.86/1.36 | | (15) $false
% 3.86/1.36 | |
% 3.86/1.36 | | CLOSE: (15) is inconsistent.
% 3.86/1.36 | |
% 3.86/1.36 | End of split
% 3.86/1.36 |
% 3.86/1.36 End of proof
% 3.86/1.36 % SZS output end Proof for theBenchmark
% 3.86/1.36
% 3.86/1.36 734ms
%------------------------------------------------------------------------------