TSTP Solution File: SYN370+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN370+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%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 : 600s
% DateTime : Thu Jul 21 05:01:52 EDT 2022
% Result : Theorem 3.48s 1.57s
% Output : Proof 3.84s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN370+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 18:20:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.52/0.56 ____ _
% 0.52/0.56 ___ / __ \_____(_)___ ________ __________
% 0.52/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.52/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.52/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.52/0.56
% 0.52/0.56 A Theorem Prover for First-Order Logic
% 0.52/0.57 (ePrincess v.1.0)
% 0.52/0.57
% 0.52/0.57 (c) Philipp Rümmer, 2009-2015
% 0.52/0.57 (c) Peter Backeman, 2014-2015
% 0.52/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.57 Bug reports to peter@backeman.se
% 0.52/0.57
% 0.52/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.57
% 0.52/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.52/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.20/0.82 Prover 0: Preprocessing ...
% 1.28/0.88 Prover 0: Warning: ignoring some quantifiers
% 1.28/0.89 Prover 0: Constructing countermodel ...
% 1.65/1.01 Prover 0: gave up
% 1.65/1.01 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.65/1.03 Prover 1: Preprocessing ...
% 1.92/1.06 Prover 1: Warning: ignoring some quantifiers
% 1.92/1.06 Prover 1: Constructing countermodel ...
% 2.00/1.11 Prover 1: gave up
% 2.00/1.11 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.00/1.12 Prover 2: Preprocessing ...
% 2.17/1.15 Prover 2: Warning: ignoring some quantifiers
% 2.17/1.15 Prover 2: Constructing countermodel ...
% 2.29/1.21 Prover 2: gave up
% 2.29/1.21 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.29/1.21 Prover 3: Preprocessing ...
% 2.29/1.22 Prover 3: Warning: ignoring some quantifiers
% 2.29/1.22 Prover 3: Constructing countermodel ...
% 2.53/1.25 Prover 3: gave up
% 2.53/1.25 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.53/1.25 Prover 4: Preprocessing ...
% 2.69/1.28 Prover 4: Warning: ignoring some quantifiers
% 2.69/1.28 Prover 4: Constructing countermodel ...
% 2.94/1.34 Prover 4: gave up
% 2.94/1.34 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.94/1.34 Prover 5: Preprocessing ...
% 2.94/1.35 Prover 5: Warning: ignoring some quantifiers
% 2.94/1.36 Prover 5: Constructing countermodel ...
% 3.02/1.38 Prover 5: gave up
% 3.02/1.38 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 3.02/1.39 Prover 6: Preprocessing ...
% 3.02/1.40 Prover 6: Warning: ignoring some quantifiers
% 3.02/1.40 Prover 6: Constructing countermodel ...
% 3.22/1.43 Prover 6: gave up
% 3.22/1.43 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 3.22/1.43 Prover 7: Preprocessing ...
% 3.22/1.44 Prover 7: Proving ...
% 3.48/1.57 Prover 7: proved (141ms)
% 3.48/1.57
% 3.48/1.57 % SZS status Theorem for theBenchmark
% 3.48/1.57
% 3.48/1.57 Generating proof ... found it (size 13)
% 3.84/1.70
% 3.84/1.70 % SZS output start Proof for theBenchmark
% 3.84/1.70 Assumed formulas after preprocessing and simplification:
% 3.84/1.70 | (0) ? [v0] : ( ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (h(v3) = v2) | ~ (h(v3) = v1)) & ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (f(v3) = v2) | ~ (f(v3) = v1)) & ! [v1] : ? [v2] : ? [v3] : ? [v4] : (h(v2) = v3 & f(v2) = v4 & ! [v5] : ~ big_p(v1, v2, v5) & (big_p(v1, v2, v4) | big_p(v0, v2, v3))))
% 3.84/1.73 | Instantiating (0) with all_0_0_0 yields:
% 3.84/1.73 | (1) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h(v2) = v1) | ~ (h(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (f(v2) = v1) | ~ (f(v2) = v0)) & ! [v0] : ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & f(v1) = v3 & ! [v4] : ~ big_p(v0, v1, v4) & (big_p(v0, v1, v3) | big_p(all_0_0_0, v1, v2)))
% 3.84/1.73 |
% 3.84/1.73 | Applying alpha-rule on (1) yields:
% 3.84/1.73 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h(v2) = v1) | ~ (h(v2) = v0))
% 3.84/1.73 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (f(v2) = v1) | ~ (f(v2) = v0))
% 3.84/1.73 | (4) ! [v0] : ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & f(v1) = v3 & ! [v4] : ~ big_p(v0, v1, v4) & (big_p(v0, v1, v3) | big_p(all_0_0_0, v1, v2)))
% 3.84/1.73 |
% 3.84/1.73 | Introducing new symbol ex_4_0_1 defined by:
% 3.84/1.73 | (5) ex_4_0_1 = all_0_0_0
% 3.84/1.73 |
% 3.84/1.73 | Instantiating formula (4) with ex_4_0_1 yields:
% 3.84/1.73 | (6) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & f(v0) = v2 & ! [v3] : ~ big_p(ex_4_0_1, v0, v3) & (big_p(ex_4_0_1, v0, v2) | big_p(all_0_0_0, v0, v1)))
% 3.84/1.73 |
% 3.84/1.73 | Instantiating (6) with all_5_0_2, all_5_1_3, all_5_2_4 yields:
% 3.84/1.73 | (7) h(all_5_2_4) = all_5_1_3 & f(all_5_2_4) = all_5_0_2 & ! [v0] : ~ big_p(ex_4_0_1, all_5_2_4, v0) & (big_p(ex_4_0_1, all_5_2_4, all_5_0_2) | big_p(all_0_0_0, all_5_2_4, all_5_1_3))
% 3.84/1.73 |
% 3.84/1.73 | Applying alpha-rule on (7) yields:
% 3.84/1.73 | (8) h(all_5_2_4) = all_5_1_3
% 3.84/1.73 | (9) f(all_5_2_4) = all_5_0_2
% 3.84/1.73 | (10) ! [v0] : ~ big_p(ex_4_0_1, all_5_2_4, v0)
% 3.84/1.73 | (11) big_p(ex_4_0_1, all_5_2_4, all_5_0_2) | big_p(all_0_0_0, all_5_2_4, all_5_1_3)
% 3.84/1.73 |
% 3.84/1.73 +-Applying beta-rule and splitting (11), into two cases.
% 3.84/1.73 |-Branch one:
% 3.84/1.73 | (12) big_p(ex_4_0_1, all_5_2_4, all_5_0_2)
% 3.84/1.73 |
% 3.84/1.73 | Instantiating formula (10) with all_5_0_2 and discharging atoms big_p(ex_4_0_1, all_5_2_4, all_5_0_2), yields:
% 3.84/1.73 | (13) $false
% 3.84/1.73 |
% 3.84/1.73 |-The branch is then unsatisfiable
% 3.84/1.73 |-Branch two:
% 3.84/1.73 | (14) big_p(all_0_0_0, all_5_2_4, all_5_1_3)
% 3.84/1.74 |
% 3.84/1.74 | Instantiating formula (10) with all_5_1_3 yields:
% 3.84/1.74 | (15) ~ big_p(ex_4_0_1, all_5_2_4, all_5_1_3)
% 3.84/1.74 |
% 3.84/1.74 | From (5) and (15) follows:
% 3.84/1.74 | (16) ~ big_p(all_0_0_0, all_5_2_4, all_5_1_3)
% 3.84/1.74 |
% 3.84/1.74 | Using (14) and (16) yields:
% 3.84/1.74 | (13) $false
% 3.84/1.74 |
% 3.84/1.74 |-The branch is then unsatisfiable
% 3.84/1.74 % SZS output end Proof for theBenchmark
% 3.84/1.74
% 3.84/1.74 1162ms
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