TSTP Solution File: SYN336+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN336+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 05:01:31 EDT 2022
% Result : Theorem 3.11s 1.46s
% Output : Proof 3.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN336+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n022.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 23:02:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.49/0.57 ____ _
% 0.49/0.57 ___ / __ \_____(_)___ ________ __________
% 0.49/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.49/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.49/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.49/0.57
% 0.49/0.57 A Theorem Prover for First-Order Logic
% 0.49/0.57 (ePrincess v.1.0)
% 0.49/0.57
% 0.49/0.57 (c) Philipp Rümmer, 2009-2015
% 0.49/0.57 (c) Peter Backeman, 2014-2015
% 0.49/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.49/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.49/0.57 Bug reports to peter@backeman.se
% 0.49/0.57
% 0.49/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.49/0.57
% 0.49/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.49/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.22/0.83 Prover 0: Preprocessing ...
% 1.27/0.85 Prover 0: Warning: ignoring some quantifiers
% 1.27/0.87 Prover 0: Constructing countermodel ...
% 1.46/0.96 Prover 0: gave up
% 1.46/0.96 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.46/0.98 Prover 1: Preprocessing ...
% 1.64/1.02 Prover 1: Warning: ignoring some quantifiers
% 1.64/1.03 Prover 1: Constructing countermodel ...
% 1.64/1.04 Prover 1: gave up
% 1.64/1.04 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.64/1.05 Prover 2: Preprocessing ...
% 1.90/1.07 Prover 2: Warning: ignoring some quantifiers
% 1.90/1.08 Prover 2: Constructing countermodel ...
% 1.99/1.10 Prover 2: gave up
% 1.99/1.10 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.99/1.11 Prover 3: Preprocessing ...
% 1.99/1.11 Prover 3: Warning: ignoring some quantifiers
% 1.99/1.11 Prover 3: Constructing countermodel ...
% 1.99/1.13 Prover 3: gave up
% 1.99/1.13 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.18/1.13 Prover 4: Preprocessing ...
% 2.30/1.16 Prover 4: Warning: ignoring some quantifiers
% 2.30/1.16 Prover 4: Constructing countermodel ...
% 2.47/1.24 Prover 4: gave up
% 2.47/1.24 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.47/1.25 Prover 5: Preprocessing ...
% 2.47/1.26 Prover 5: Warning: ignoring some quantifiers
% 2.47/1.26 Prover 5: Constructing countermodel ...
% 2.47/1.26 Prover 5: gave up
% 2.47/1.26 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.57/1.27 Prover 6: Preprocessing ...
% 2.57/1.28 Prover 6: Warning: ignoring some quantifiers
% 2.57/1.28 Prover 6: Constructing countermodel ...
% 2.57/1.28 Prover 6: gave up
% 2.57/1.29 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 2.57/1.29 Prover 7: Preprocessing ...
% 2.57/1.29 Prover 7: Proving ...
% 3.11/1.46 Prover 7: proved (172ms)
% 3.11/1.46
% 3.11/1.46 % SZS status Theorem for theBenchmark
% 3.11/1.46
% 3.11/1.46 Generating proof ... found it (size 13)
% 3.42/1.64
% 3.42/1.64 % SZS output start Proof for theBenchmark
% 3.42/1.64 Assumed formulas after preprocessing and simplification:
% 3.42/1.64 | (0) ? [v0] : ! [v1] : ! [v2] : ? [v3] : (big_f(v2, v3) & big_f(v1, v3) & big_f(v1, v0) & big_f(v0, v3) & ~ big_f(v3, v2))
% 3.42/1.64 | Instantiating (0) with all_0_0_0 yields:
% 3.42/1.64 | (1) ! [v0] : ! [v1] : ? [v2] : (big_f(v1, v2) & big_f(v0, v2) & big_f(v0, all_0_0_0) & big_f(all_0_0_0, v2) & ~ big_f(v2, v1))
% 3.42/1.64 |
% 3.42/1.64 | Introducing new symbol ex_2_0_1 defined by:
% 3.42/1.64 | (2) ex_2_0_1 = all_0_0_0
% 3.42/1.64 |
% 3.42/1.64 | Instantiating formula (1) with ex_2_0_1, ex_2_1_2 yields:
% 3.42/1.64 | (3) ? [v0] : (big_f(ex_2_0_1, v0) & big_f(ex_2_1_2, v0) & big_f(ex_2_1_2, all_0_0_0) & big_f(all_0_0_0, v0) & ~ big_f(v0, ex_2_0_1))
% 3.42/1.64 |
% 3.42/1.64 | Instantiating (3) with all_3_0_3 yields:
% 3.42/1.64 | (4) big_f(ex_2_0_1, all_3_0_3) & big_f(ex_2_1_2, all_3_0_3) & big_f(ex_2_1_2, all_0_0_0) & big_f(all_0_0_0, all_3_0_3) & ~ big_f(all_3_0_3, ex_2_0_1)
% 3.42/1.64 |
% 3.42/1.64 | Applying alpha-rule on (4) yields:
% 3.42/1.64 | (5) big_f(ex_2_0_1, all_3_0_3)
% 3.42/1.64 | (6) big_f(ex_2_1_2, all_0_0_0)
% 3.42/1.64 | (7) ~ big_f(all_3_0_3, ex_2_0_1)
% 3.42/1.65 | (8) big_f(all_0_0_0, all_3_0_3)
% 3.42/1.65 | (9) big_f(ex_2_1_2, all_3_0_3)
% 3.42/1.65 |
% 3.42/1.65 | Introducing new symbol ex_11_1_5 defined by:
% 3.42/1.65 | (10) ex_11_1_5 = all_3_0_3
% 3.42/1.65 |
% 3.42/1.65 | Instantiating formula (1) with ex_11_0_4, ex_11_1_5 yields:
% 3.42/1.65 | (11) ? [v0] : (big_f(ex_11_0_4, v0) & big_f(ex_11_1_5, v0) & big_f(ex_11_1_5, all_0_0_0) & big_f(all_0_0_0, v0) & ~ big_f(v0, ex_11_0_4))
% 3.42/1.65 |
% 3.42/1.65 | Instantiating (11) with all_12_0_6 yields:
% 3.42/1.65 | (12) big_f(ex_11_0_4, all_12_0_6) & big_f(ex_11_1_5, all_12_0_6) & big_f(ex_11_1_5, all_0_0_0) & big_f(all_0_0_0, all_12_0_6) & ~ big_f(all_12_0_6, ex_11_0_4)
% 3.42/1.65 |
% 3.42/1.65 | Applying alpha-rule on (12) yields:
% 3.42/1.65 | (13) big_f(ex_11_1_5, all_12_0_6)
% 3.42/1.65 | (14) big_f(all_0_0_0, all_12_0_6)
% 3.42/1.65 | (15) ~ big_f(all_12_0_6, ex_11_0_4)
% 3.42/1.65 | (16) big_f(ex_11_1_5, all_0_0_0)
% 3.42/1.65 | (17) big_f(ex_11_0_4, all_12_0_6)
% 3.42/1.65 |
% 3.42/1.65 | From (10) and (16) follows:
% 3.42/1.65 | (18) big_f(all_3_0_3, all_0_0_0)
% 3.42/1.65 |
% 3.42/1.65 | From (2) and (7) follows:
% 3.42/1.65 | (19) ~ big_f(all_3_0_3, all_0_0_0)
% 3.42/1.65 |
% 3.42/1.65 | Using (18) and (19) yields:
% 3.42/1.65 | (20) $false
% 3.42/1.65 |
% 3.42/1.65 |-The branch is then unsatisfiable
% 3.42/1.65 % SZS output end Proof for theBenchmark
% 3.42/1.65
% 3.62/1.65 1069ms
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