TSTP Solution File: SYN341+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN341+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n011.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 05:01:34 EDT 2022
% Result : Theorem 3.11s 1.51s
% Output : Proof 3.50s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN341+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n011.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 00:33:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.56/0.60 ____ _
% 0.56/0.60 ___ / __ \_____(_)___ ________ __________
% 0.56/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.60
% 0.56/0.60 A Theorem Prover for First-Order Logic
% 0.64/0.60 (ePrincess v.1.0)
% 0.64/0.60
% 0.64/0.60 (c) Philipp Rümmer, 2009-2015
% 0.64/0.60 (c) Peter Backeman, 2014-2015
% 0.64/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.64/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.64/0.60 Bug reports to peter@backeman.se
% 0.64/0.60
% 0.64/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.64/0.60
% 0.64/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.15/0.86 Prover 0: Preprocessing ...
% 1.31/0.89 Prover 0: Warning: ignoring some quantifiers
% 1.37/0.91 Prover 0: Constructing countermodel ...
% 1.43/0.99 Prover 0: gave up
% 1.43/1.00 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.43/1.01 Prover 1: Preprocessing ...
% 1.74/1.04 Prover 1: Warning: ignoring some quantifiers
% 1.74/1.04 Prover 1: Constructing countermodel ...
% 1.74/1.05 Prover 1: gave up
% 1.74/1.05 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.74/1.06 Prover 2: Preprocessing ...
% 1.74/1.07 Prover 2: Warning: ignoring some quantifiers
% 1.74/1.08 Prover 2: Constructing countermodel ...
% 2.01/1.10 Prover 2: gave up
% 2.01/1.10 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.01/1.10 Prover 3: Preprocessing ...
% 2.01/1.11 Prover 3: Warning: ignoring some quantifiers
% 2.01/1.11 Prover 3: Constructing countermodel ...
% 2.01/1.12 Prover 3: gave up
% 2.01/1.12 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.01/1.13 Prover 4: Preprocessing ...
% 2.01/1.15 Prover 4: Warning: ignoring some quantifiers
% 2.01/1.15 Prover 4: Constructing countermodel ...
% 2.27/1.20 Prover 4: gave up
% 2.27/1.20 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.27/1.20 Prover 5: Preprocessing ...
% 2.36/1.21 Prover 5: Warning: ignoring some quantifiers
% 2.36/1.22 Prover 5: Constructing countermodel ...
% 2.36/1.22 Prover 5: gave up
% 2.36/1.22 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.36/1.22 Prover 6: Preprocessing ...
% 2.41/1.23 Prover 6: Warning: ignoring some quantifiers
% 2.41/1.23 Prover 6: Constructing countermodel ...
% 2.41/1.24 Prover 6: gave up
% 2.41/1.24 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 2.41/1.25 Prover 7: Preprocessing ...
% 2.41/1.25 Prover 7: Proving ...
% 3.11/1.51 Prover 7: proved (266ms)
% 3.11/1.51
% 3.11/1.51 % SZS status Theorem for theBenchmark
% 3.11/1.51
% 3.11/1.51 Generating proof ... found it (size 17)
% 3.50/1.64
% 3.50/1.64 % SZS output start Proof for theBenchmark
% 3.50/1.64 Assumed formulas after preprocessing and simplification:
% 3.50/1.64 | (0) ! [v0] : ? [v1] : ! [v2] : ? [v3] : (big_f(v0, v1, v2) & ~ big_f(v1, v2, v3))
% 3.50/1.64 | Instantiating formula (0) with ex_0_0_0 yields:
% 3.50/1.64 | (1) ? [v0] : ! [v1] : ? [v2] : (big_f(ex_0_0_0, v0, v1) & ~ big_f(v0, v1, v2))
% 3.50/1.64 |
% 3.50/1.64 | Instantiating (1) with all_1_0_1 yields:
% 3.50/1.64 | (2) ! [v0] : ? [v1] : (big_f(ex_0_0_0, all_1_0_1, v0) & ~ big_f(all_1_0_1, v0, v1))
% 3.50/1.64 |
% 3.50/1.64 | Introducing new symbol ex_3_0_2 defined by:
% 3.50/1.64 | (3) ex_3_0_2 = all_1_0_1
% 3.50/1.64 |
% 3.50/1.64 | Instantiating formula (0) with ex_3_0_2 yields:
% 3.50/1.64 | (4) ? [v0] : ! [v1] : ? [v2] : (big_f(ex_3_0_2, v0, v1) & ~ big_f(v0, v1, v2))
% 3.50/1.64 |
% 3.50/1.64 | Instantiating (4) with all_4_0_3 yields:
% 3.50/1.64 | (5) ! [v0] : ? [v1] : (big_f(ex_3_0_2, all_4_0_3, v0) & ~ big_f(all_4_0_3, v0, v1))
% 3.50/1.64 |
% 3.50/1.64 | Introducing new symbol ex_6_0_4 defined by:
% 3.50/1.64 | (6) ex_6_0_4 = all_4_0_3
% 3.50/1.64 |
% 3.50/1.64 | Instantiating formula (2) with ex_6_0_4 yields:
% 3.50/1.64 | (7) ? [v0] : (big_f(ex_0_0_0, all_1_0_1, ex_6_0_4) & ~ big_f(all_1_0_1, ex_6_0_4, v0))
% 3.50/1.64 |
% 3.50/1.64 | Instantiating (7) with all_7_0_5 yields:
% 3.50/1.64 | (8) big_f(ex_0_0_0, all_1_0_1, ex_6_0_4) & ~ big_f(all_1_0_1, ex_6_0_4, all_7_0_5)
% 3.50/1.64 |
% 3.50/1.64 | Applying alpha-rule on (8) yields:
% 3.50/1.64 | (9) big_f(ex_0_0_0, all_1_0_1, ex_6_0_4)
% 3.50/1.64 | (10) ~ big_f(all_1_0_1, ex_6_0_4, all_7_0_5)
% 3.50/1.64 |
% 3.50/1.64 | Introducing new symbol ex_18_0_8 defined by:
% 3.50/1.64 | (11) ex_18_0_8 = all_7_0_5
% 3.50/1.64 |
% 3.50/1.64 | Instantiating formula (5) with ex_18_0_8 yields:
% 3.50/1.64 | (12) ? [v0] : (big_f(ex_3_0_2, all_4_0_3, ex_18_0_8) & ~ big_f(all_4_0_3, ex_18_0_8, v0))
% 3.50/1.64 |
% 3.50/1.64 | Instantiating (12) with all_19_0_9 yields:
% 3.50/1.64 | (13) big_f(ex_3_0_2, all_4_0_3, ex_18_0_8) & ~ big_f(all_4_0_3, ex_18_0_8, all_19_0_9)
% 3.50/1.64 |
% 3.50/1.64 | Applying alpha-rule on (13) yields:
% 3.50/1.64 | (14) big_f(ex_3_0_2, all_4_0_3, ex_18_0_8)
% 3.50/1.64 | (15) ~ big_f(all_4_0_3, ex_18_0_8, all_19_0_9)
% 3.50/1.64 |
% 3.50/1.65 | From (3)(11) and (14) follows:
% 3.50/1.65 | (16) big_f(all_1_0_1, all_4_0_3, all_7_0_5)
% 3.50/1.65 |
% 3.50/1.65 | From (6) and (10) follows:
% 3.50/1.65 | (17) ~ big_f(all_1_0_1, all_4_0_3, all_7_0_5)
% 3.50/1.65 |
% 3.50/1.65 | Using (16) and (17) yields:
% 3.50/1.65 | (18) $false
% 3.50/1.65 |
% 3.50/1.65 |-The branch is then unsatisfiable
% 3.50/1.65 % SZS output end Proof for theBenchmark
% 3.50/1.65
% 3.50/1.65 1036ms
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