TSTP Solution File: SYN382+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN382+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%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 : 600s
% DateTime : Thu Jul 21 05:01:58 EDT 2022
% Result : Theorem 3.25s 1.58s
% Output : Proof 3.78s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN382+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Mon Jul 11 17:33:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.58 ____ _
% 0.59/0.58 ___ / __ \_____(_)___ ________ __________
% 0.59/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.59/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.59/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.59/0.58
% 0.59/0.58 A Theorem Prover for First-Order Logic
% 0.59/0.58 (ePrincess v.1.0)
% 0.59/0.58
% 0.59/0.58 (c) Philipp Rümmer, 2009-2015
% 0.59/0.58 (c) Peter Backeman, 2014-2015
% 0.59/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.58 Bug reports to peter@backeman.se
% 0.59/0.58
% 0.59/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.58
% 0.59/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.59/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.17/0.86 Prover 0: Preprocessing ...
% 1.25/0.90 Prover 0: Warning: ignoring some quantifiers
% 1.25/0.92 Prover 0: Constructing countermodel ...
% 1.41/1.01 Prover 0: gave up
% 1.41/1.01 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.63/1.03 Prover 1: Preprocessing ...
% 1.63/1.07 Prover 1: Warning: ignoring some quantifiers
% 1.63/1.07 Prover 1: Constructing countermodel ...
% 1.89/1.11 Prover 1: gave up
% 1.89/1.11 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.89/1.12 Prover 2: Preprocessing ...
% 1.89/1.14 Prover 2: Warning: ignoring some quantifiers
% 1.89/1.15 Prover 2: Constructing countermodel ...
% 2.19/1.18 Prover 2: gave up
% 2.19/1.18 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.19/1.18 Prover 3: Preprocessing ...
% 2.19/1.19 Prover 3: Warning: ignoring some quantifiers
% 2.31/1.19 Prover 3: Constructing countermodel ...
% 2.31/1.20 Prover 3: gave up
% 2.31/1.20 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.31/1.21 Prover 4: Preprocessing ...
% 2.45/1.24 Prover 4: Warning: ignoring some quantifiers
% 2.46/1.24 Prover 4: Constructing countermodel ...
% 2.46/1.30 Prover 4: gave up
% 2.46/1.30 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.65/1.30 Prover 5: Preprocessing ...
% 2.65/1.32 Prover 5: Warning: ignoring some quantifiers
% 2.65/1.32 Prover 5: Constructing countermodel ...
% 2.65/1.34 Prover 5: gave up
% 2.65/1.34 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.65/1.34 Prover 6: Preprocessing ...
% 2.65/1.36 Prover 6: Warning: ignoring some quantifiers
% 2.65/1.36 Prover 6: Constructing countermodel ...
% 2.84/1.38 Prover 6: gave up
% 2.84/1.38 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 2.84/1.38 Prover 7: Preprocessing ...
% 2.84/1.39 Prover 7: Proving ...
% 3.25/1.58 Prover 7: proved (204ms)
% 3.25/1.58
% 3.25/1.58 % SZS status Theorem for theBenchmark
% 3.25/1.58
% 3.25/1.58 Generating proof ... found it (size 17)
% 3.57/1.77
% 3.57/1.77 % SZS output start Proof for theBenchmark
% 3.57/1.77 Assumed formulas after preprocessing and simplification:
% 3.57/1.77 | (0) ! [v0] : ? [v1] : (big_q(v1, v0) | ! [v2] : big_p(v1, v2)) & ? [v0] : ( ! [v1] : ~ big_q(v1, v0) & ! [v1] : ~ big_p(v1, v0))
% 3.57/1.77 | Applying alpha-rule on (0) yields:
% 3.57/1.77 | (1) ! [v0] : ? [v1] : (big_q(v1, v0) | ! [v2] : big_p(v1, v2))
% 3.57/1.77 | (2) ? [v0] : ( ! [v1] : ~ big_q(v1, v0) & ! [v1] : ~ big_p(v1, v0))
% 3.57/1.77 |
% 3.57/1.77 | Instantiating (2) with all_0_0_0 yields:
% 3.57/1.77 | (3) ! [v0] : ~ big_q(v0, all_0_0_0) & ! [v0] : ~ big_p(v0, all_0_0_0)
% 3.57/1.77 |
% 3.57/1.77 | Applying alpha-rule on (3) yields:
% 3.57/1.77 | (4) ! [v0] : ~ big_q(v0, all_0_0_0)
% 3.57/1.77 | (5) ! [v0] : ~ big_p(v0, all_0_0_0)
% 3.57/1.77 |
% 3.57/1.77 | Introducing new symbol ex_4_0_1 defined by:
% 3.57/1.77 | (6) ex_4_0_1 = all_0_0_0
% 3.57/1.77 |
% 3.57/1.77 | Instantiating formula (1) with ex_4_0_1 yields:
% 3.57/1.77 | (7) ? [v0] : (big_q(v0, ex_4_0_1) | ! [v1] : big_p(v0, v1))
% 3.57/1.77 |
% 3.57/1.77 | Instantiating (7) with all_5_0_2 yields:
% 3.57/1.77 | (8) big_q(all_5_0_2, ex_4_0_1) | ! [v0] : big_p(all_5_0_2, v0)
% 3.78/1.77 |
% 3.78/1.77 +-Applying beta-rule and splitting (8), into two cases.
% 3.78/1.77 |-Branch one:
% 3.78/1.77 | (9) big_q(all_5_0_2, ex_4_0_1)
% 3.78/1.77 |
% 3.78/1.77 | Instantiating formula (4) with all_5_0_2 yields:
% 3.78/1.77 | (10) ~ big_q(all_5_0_2, all_0_0_0)
% 3.78/1.77 |
% 3.78/1.77 | From (6) and (9) follows:
% 3.78/1.77 | (11) big_q(all_5_0_2, all_0_0_0)
% 3.78/1.78 |
% 3.78/1.78 | Using (11) and (10) yields:
% 3.78/1.78 | (12) $false
% 3.78/1.78 |
% 3.78/1.78 |-The branch is then unsatisfiable
% 3.78/1.78 |-Branch two:
% 3.78/1.78 | (13) ! [v0] : big_p(all_5_0_2, v0)
% 3.78/1.78 |
% 3.78/1.78 | Introducing new symbol ex_12_0_5 defined by:
% 3.78/1.78 | (14) ex_12_0_5 = all_0_0_0
% 3.78/1.78 |
% 3.78/1.78 | Instantiating formula (13) with ex_12_0_5 yields:
% 3.78/1.78 | (15) big_p(all_5_0_2, ex_12_0_5)
% 3.78/1.78 |
% 3.78/1.78 | Instantiating formula (5) with all_5_0_2 yields:
% 3.78/1.78 | (16) ~ big_p(all_5_0_2, all_0_0_0)
% 3.78/1.78 |
% 3.78/1.78 | From (14) and (15) follows:
% 3.78/1.78 | (17) big_p(all_5_0_2, all_0_0_0)
% 3.78/1.78 |
% 3.78/1.78 | Using (17) and (16) yields:
% 3.78/1.78 | (12) $false
% 3.78/1.78 |
% 3.78/1.78 |-The branch is then unsatisfiable
% 3.78/1.78 % SZS output end Proof for theBenchmark
% 3.78/1.78
% 3.78/1.78 1185ms
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