TSTP Solution File: SYN379+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN379+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n008.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 : 600s
% DateTime : Thu Jul 21 05:01:57 EDT 2022
% Result : Theorem 2.75s 1.39s
% Output : Proof 3.17s
% 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 : SYN379+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 03:56:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.52/0.57 ____ _
% 0.52/0.57 ___ / __ \_____(_)___ ________ __________
% 0.52/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.52/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.52/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.52/0.57
% 0.52/0.57 A Theorem Prover for First-Order Logic
% 0.52/0.58 (ePrincess v.1.0)
% 0.52/0.58
% 0.52/0.58 (c) Philipp Rümmer, 2009-2015
% 0.52/0.58 (c) Peter Backeman, 2014-2015
% 0.52/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.58 Bug reports to peter@backeman.se
% 0.52/0.58
% 0.52/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.58
% 0.52/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.52/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.20/0.87 Prover 0: Preprocessing ...
% 1.20/0.91 Prover 0: Warning: ignoring some quantifiers
% 1.20/0.92 Prover 0: Constructing countermodel ...
% 1.45/1.01 Prover 0: gave up
% 1.45/1.01 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.45/1.03 Prover 1: Preprocessing ...
% 1.71/1.07 Prover 1: Constructing countermodel ...
% 1.71/1.07 Prover 1: gave up
% 1.71/1.07 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.86/1.08 Prover 2: Preprocessing ...
% 1.86/1.10 Prover 2: Warning: ignoring some quantifiers
% 1.86/1.11 Prover 2: Constructing countermodel ...
% 2.11/1.15 Prover 2: gave up
% 2.11/1.15 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.11/1.16 Prover 3: Preprocessing ...
% 2.11/1.16 Prover 3: Warning: ignoring some quantifiers
% 2.11/1.16 Prover 3: Constructing countermodel ...
% 2.26/1.18 Prover 3: gave up
% 2.26/1.18 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.26/1.18 Prover 4: Preprocessing ...
% 2.26/1.20 Prover 4: Warning: ignoring some quantifiers
% 2.26/1.21 Prover 4: Constructing countermodel ...
% 2.26/1.23 Prover 4: gave up
% 2.26/1.23 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.45/1.24 Prover 5: Preprocessing ...
% 2.45/1.25 Prover 5: Constructing countermodel ...
% 2.45/1.25 Prover 5: gave up
% 2.45/1.25 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.45/1.26 Prover 6: Preprocessing ...
% 2.53/1.27 Prover 6: Warning: ignoring some quantifiers
% 2.53/1.27 Prover 6: Constructing countermodel ...
% 2.53/1.29 Prover 6: gave up
% 2.53/1.29 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 2.53/1.30 Prover 7: Preprocessing ...
% 2.53/1.30 Prover 7: Proving ...
% 2.75/1.39 Prover 7: proved (95ms)
% 2.75/1.39
% 2.75/1.39 % SZS status Theorem for theBenchmark
% 2.75/1.39
% 2.75/1.39 Generating proof ... found it (size 10)
% 2.99/1.53
% 2.99/1.53 % SZS output start Proof for theBenchmark
% 2.99/1.53 Assumed formulas after preprocessing and simplification:
% 2.99/1.53 | (0) ! [v0] : ! [v1] : ! [v2] : big_q(v1, v0, v2) & ! [v0] : ! [v1] : ~ big_q(v0, v0, v1) & ! [v0] : big_p(v0)
% 2.99/1.53 | Applying alpha-rule on (0) yields:
% 2.99/1.53 | (1) ! [v0] : ! [v1] : ! [v2] : big_q(v1, v0, v2)
% 3.17/1.54 | (2) ! [v0] : ! [v1] : ~ big_q(v0, v0, v1)
% 3.17/1.54 | (3) ! [v0] : big_p(v0)
% 3.17/1.54 |
% 3.17/1.54 | Introducing new symbol ex_10_2_3 defined by:
% 3.17/1.54 | (4) ex_10_2_3 = arbitrary_constant
% 3.17/1.54 |
% 3.17/1.54 | Introducing new symbol ex_10_1_2 defined by:
% 3.17/1.54 | (5) ex_10_1_2 = arbitrary_constant
% 3.17/1.54 |
% 3.17/1.54 | Introducing new symbol ex_10_0_1 defined by:
% 3.17/1.54 | (6) ex_10_0_1 = arbitrary_constant
% 3.17/1.54 |
% 3.17/1.54 | Instantiating formula (1) with ex_10_0_1, ex_10_1_2, ex_10_2_3 yields:
% 3.17/1.54 | (7) big_q(ex_10_1_2, ex_10_2_3, ex_10_0_1)
% 3.17/1.54 |
% 3.17/1.54 | Instantiating formula (2) with ex_10_0_1, ex_10_2_3 yields:
% 3.17/1.54 | (8) ~ big_q(ex_10_2_3, ex_10_2_3, ex_10_0_1)
% 3.17/1.54 |
% 3.17/1.54 | From (5)(4)(6) and (7) follows:
% 3.17/1.54 | (9) big_q(arbitrary_constant, arbitrary_constant, arbitrary_constant)
% 3.17/1.54 |
% 3.17/1.54 | From (4)(4)(6) and (8) follows:
% 3.17/1.54 | (10) ~ big_q(arbitrary_constant, arbitrary_constant, arbitrary_constant)
% 3.17/1.54 |
% 3.17/1.54 | Using (9) and (10) yields:
% 3.17/1.54 | (11) $false
% 3.17/1.54 |
% 3.17/1.54 |-The branch is then unsatisfiable
% 3.17/1.54 % SZS output end Proof for theBenchmark
% 3.17/1.54
% 3.17/1.54 955ms
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