TSTP Solution File: SYN380+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN380+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n014.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 3.15s 1.59s
% Output : Proof 3.75s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN380+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n014.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 : 600
% 0.13/0.34 % DateTime : Tue Jul 12 04:31:49 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.59/0.59 ____ _
% 0.59/0.59 ___ / __ \_____(_)___ ________ __________
% 0.59/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.59/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.59/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.59/0.59
% 0.59/0.59 A Theorem Prover for First-Order Logic
% 0.59/0.59 (ePrincess v.1.0)
% 0.59/0.59
% 0.59/0.59 (c) Philipp Rümmer, 2009-2015
% 0.59/0.59 (c) Peter Backeman, 2014-2015
% 0.59/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.59 Bug reports to peter@backeman.se
% 0.59/0.59
% 0.59/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.59
% 0.59/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.24/0.89 Prover 0: Preprocessing ...
% 1.33/0.94 Prover 0: Warning: ignoring some quantifiers
% 1.36/0.95 Prover 0: Constructing countermodel ...
% 1.49/1.05 Prover 0: gave up
% 1.49/1.05 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.49/1.07 Prover 1: Preprocessing ...
% 1.77/1.11 Prover 1: Constructing countermodel ...
% 1.77/1.12 Prover 1: gave up
% 1.77/1.12 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.77/1.13 Prover 2: Preprocessing ...
% 1.77/1.16 Prover 2: Warning: ignoring some quantifiers
% 1.77/1.16 Prover 2: Constructing countermodel ...
% 2.09/1.18 Prover 2: gave up
% 2.09/1.19 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.09/1.19 Prover 3: Preprocessing ...
% 2.09/1.20 Prover 3: Warning: ignoring some quantifiers
% 2.09/1.20 Prover 3: Constructing countermodel ...
% 2.22/1.21 Prover 3: gave up
% 2.22/1.22 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.22/1.22 Prover 4: Preprocessing ...
% 2.33/1.25 Prover 4: Warning: ignoring some quantifiers
% 2.33/1.26 Prover 4: Constructing countermodel ...
% 2.33/1.29 Prover 4: gave up
% 2.33/1.29 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.33/1.30 Prover 5: Preprocessing ...
% 2.33/1.32 Prover 5: Constructing countermodel ...
% 2.33/1.32 Prover 5: gave up
% 2.33/1.32 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.33/1.32 Prover 6: Preprocessing ...
% 2.60/1.34 Prover 6: Warning: ignoring some quantifiers
% 2.60/1.34 Prover 6: Constructing countermodel ...
% 2.60/1.35 Prover 6: gave up
% 2.60/1.35 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 2.60/1.36 Prover 7: Preprocessing ...
% 2.60/1.36 Prover 7: Proving ...
% 3.15/1.59 Prover 7: proved (239ms)
% 3.15/1.59
% 3.15/1.59 % SZS status Theorem for theBenchmark
% 3.15/1.59
% 3.15/1.59 Generating proof ... found it (size 25)
% 3.75/1.84
% 3.75/1.84 % SZS output start Proof for theBenchmark
% 3.75/1.84 Assumed formulas after preprocessing and simplification:
% 3.75/1.84 | (0) ! [v0] : ! [v1] : (big_r(v0, v1) | (big_q(v1, v0) & ? [v2] : ~ big_q(v2, v2))) & ! [v0] : ~ big_r(v0, v0)
% 3.75/1.84 | Applying alpha-rule on (0) yields:
% 3.75/1.84 | (1) ! [v0] : ! [v1] : (big_r(v0, v1) | (big_q(v1, v0) & ? [v2] : ~ big_q(v2, v2)))
% 3.75/1.84 | (2) ! [v0] : ~ big_r(v0, v0)
% 3.75/1.84 |
% 3.75/1.84 | Introducing new symbol ex_2_1_1 defined by:
% 3.75/1.84 | (3) ex_2_1_1 = arbitrary_constant
% 3.75/1.84 |
% 3.75/1.84 | Introducing new symbol ex_2_0_0 defined by:
% 3.75/1.84 | (4) ex_2_0_0 = arbitrary_constant
% 3.75/1.84 |
% 3.75/1.84 | Instantiating formula (1) with ex_2_0_0, ex_2_1_1 yields:
% 3.75/1.84 | (5) big_r(ex_2_1_1, ex_2_0_0) | (big_q(ex_2_0_0, ex_2_1_1) & ? [v0] : ~ big_q(v0, v0))
% 3.75/1.84 |
% 3.75/1.84 +-Applying beta-rule and splitting (5), into two cases.
% 3.75/1.84 |-Branch one:
% 3.75/1.84 | (6) big_r(ex_2_1_1, ex_2_0_0)
% 3.75/1.84 |
% 3.75/1.84 | Instantiating formula (2) with ex_2_1_1 yields:
% 3.75/1.84 | (7) ~ big_r(ex_2_1_1, ex_2_1_1)
% 3.75/1.84 |
% 3.75/1.84 | From (3)(4) and (6) follows:
% 3.75/1.84 | (8) big_r(arbitrary_constant, arbitrary_constant)
% 3.75/1.84 |
% 3.75/1.84 | From (3)(3) and (7) follows:
% 3.75/1.84 | (9) ~ big_r(arbitrary_constant, arbitrary_constant)
% 3.75/1.84 |
% 3.75/1.84 | Using (8) and (9) yields:
% 3.75/1.84 | (10) $false
% 3.75/1.84 |
% 3.75/1.84 |-The branch is then unsatisfiable
% 3.75/1.84 |-Branch two:
% 3.75/1.84 | (11) big_q(ex_2_0_0, ex_2_1_1) & ? [v0] : ~ big_q(v0, v0)
% 3.75/1.84 |
% 3.75/1.84 | Applying alpha-rule on (11) yields:
% 3.75/1.84 | (12) big_q(ex_2_0_0, ex_2_1_1)
% 3.75/1.85 | (13) ? [v0] : ~ big_q(v0, v0)
% 3.75/1.85 |
% 3.75/1.85 | Instantiating (13) with all_5_0_2 yields:
% 3.75/1.85 | (14) ~ big_q(all_5_0_2, all_5_0_2)
% 3.75/1.85 |
% 3.75/1.85 | Introducing new symbol ex_13_1_4 defined by:
% 3.75/1.85 | (15) ex_13_1_4 = all_5_0_2
% 3.75/1.85 |
% 3.75/1.85 | Introducing new symbol ex_13_0_3 defined by:
% 3.75/1.85 | (16) ex_13_0_3 = all_5_0_2
% 3.75/1.85 |
% 3.75/1.85 | Instantiating formula (1) with ex_13_0_3, ex_13_1_4 yields:
% 3.75/1.85 | (17) big_r(ex_13_1_4, ex_13_0_3) | (big_q(ex_13_0_3, ex_13_1_4) & ? [v0] : ~ big_q(v0, v0))
% 3.75/1.85 |
% 3.75/1.85 +-Applying beta-rule and splitting (17), into two cases.
% 3.75/1.85 |-Branch one:
% 3.75/1.85 | (18) big_r(ex_13_1_4, ex_13_0_3)
% 3.75/1.85 |
% 3.75/1.85 | Instantiating formula (2) with ex_13_1_4 yields:
% 3.75/1.85 | (19) ~ big_r(ex_13_1_4, ex_13_1_4)
% 3.75/1.85 |
% 3.75/1.85 | From (15)(16) and (18) follows:
% 3.75/1.85 | (20) big_r(all_5_0_2, all_5_0_2)
% 3.75/1.85 |
% 3.75/1.85 | From (15)(15) and (19) follows:
% 3.75/1.85 | (21) ~ big_r(all_5_0_2, all_5_0_2)
% 3.75/1.85 |
% 3.75/1.85 | Using (20) and (21) yields:
% 3.75/1.85 | (10) $false
% 3.75/1.85 |
% 3.75/1.85 |-The branch is then unsatisfiable
% 3.75/1.85 |-Branch two:
% 3.75/1.85 | (23) big_q(ex_13_0_3, ex_13_1_4) & ? [v0] : ~ big_q(v0, v0)
% 3.75/1.85 |
% 3.75/1.85 | Applying alpha-rule on (23) yields:
% 3.75/1.85 | (24) big_q(ex_13_0_3, ex_13_1_4)
% 3.75/1.85 | (13) ? [v0] : ~ big_q(v0, v0)
% 3.75/1.85 |
% 3.75/1.85 | From (16)(15) and (24) follows:
% 3.75/1.85 | (26) big_q(all_5_0_2, all_5_0_2)
% 3.75/1.85 |
% 3.75/1.85 | Using (26) and (14) yields:
% 3.75/1.85 | (10) $false
% 3.75/1.85 |
% 3.75/1.85 |-The branch is then unsatisfiable
% 3.75/1.85 % SZS output end Proof for theBenchmark
% 3.75/1.85
% 3.75/1.85 1248ms
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