TSTP Solution File: SYN383+1 by ePrincess---1.0
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- Process Solution
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% File : ePrincess---1.0
% Problem : SYN383+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n005.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 05:01:59 EDT 2022
% Result : Theorem 2.22s 1.22s
% Output : Proof 2.50s
% 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 : SYN383+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n005.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 14:24:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.58 ____ _
% 0.20/0.58 ___ / __ \_____(_)___ ________ __________
% 0.20/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.20/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.20/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.20/0.58
% 0.20/0.58 A Theorem Prover for First-Order Logic
% 0.20/0.58 (ePrincess v.1.0)
% 0.20/0.58
% 0.20/0.58 (c) Philipp Rümmer, 2009-2015
% 0.20/0.58 (c) Peter Backeman, 2014-2015
% 0.20/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.20/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.20/0.58 Bug reports to peter@backeman.se
% 0.20/0.58
% 0.20/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.20/0.58
% 0.20/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.74/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.21/0.88 Prover 0: Preprocessing ...
% 1.21/0.90 Prover 0: Warning: ignoring some quantifiers
% 1.29/0.91 Prover 0: Constructing countermodel ...
% 1.34/0.99 Prover 0: gave up
% 1.34/0.99 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.34/1.01 Prover 1: Preprocessing ...
% 1.60/1.06 Prover 1: Constructing countermodel ...
% 1.60/1.07 Prover 1: gave up
% 1.60/1.07 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.60/1.07 Prover 2: Preprocessing ...
% 1.87/1.10 Prover 2: Warning: ignoring some quantifiers
% 1.87/1.11 Prover 2: Constructing countermodel ...
% 1.87/1.13 Prover 2: gave up
% 1.87/1.13 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.87/1.14 Prover 3: Preprocessing ...
% 1.87/1.15 Prover 3: Warning: ignoring some quantifiers
% 1.87/1.15 Prover 3: Constructing countermodel ...
% 1.87/1.16 Prover 3: gave up
% 1.87/1.16 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 1.87/1.16 Prover 4: Preprocessing ...
% 2.22/1.19 Prover 4: Warning: ignoring some quantifiers
% 2.22/1.19 Prover 4: Constructing countermodel ...
% 2.22/1.22 Prover 4: proved (61ms)
% 2.22/1.22
% 2.22/1.22 No countermodel exists, formula is valid
% 2.22/1.22 % SZS status Theorem for theBenchmark
% 2.22/1.22
% 2.22/1.22 Generating proof ... Warning: ignoring some quantifiers
% 2.50/1.33 found it (size 5)
% 2.50/1.33
% 2.50/1.33 % SZS output start Proof for theBenchmark
% 2.50/1.33 Assumed formulas after preprocessing and simplification:
% 2.50/1.33 | (0) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_q(v2) = v1) | ~ (big_q(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_p(v2) = v1) | ~ (big_p(v2) = v0)) & ! [v0] : ! [v1] : ( ~ (big_q(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ~ (v1 = 0) & big_q(v2) = 0 & big_p(v2) = v3 & big_p(v0) = 0)) & ! [v0] : ! [v1] : ( ~ (big_p(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (v1 = 0 & ~ (v4 = 0) & ~ (v2 = 0) & big_q(v3) = 0 & big_q(v0) = v2 & big_p(v3) = v4)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = 0) & ~ (v1 = 0) & big_q(v2) = 0 & big_q(v0) = v1 & big_p(v2) = v3 & big_p(v0) = 0)
% 2.50/1.36 | Applying alpha-rule on (0) yields:
% 2.50/1.36 | (1) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = 0) & ~ (v1 = 0) & big_q(v2) = 0 & big_q(v0) = v1 & big_p(v2) = v3 & big_p(v0) = 0)
% 2.50/1.37 | (2) ! [v0] : ! [v1] : ( ~ (big_q(v0) = v1) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & ~ (v1 = 0) & big_q(v2) = 0 & big_p(v2) = v3 & big_p(v0) = 0))
% 2.50/1.37 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_q(v2) = v1) | ~ (big_q(v2) = v0))
% 2.50/1.37 | (4) ! [v0] : ! [v1] : ( ~ (big_p(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (v1 = 0 & ~ (v4 = 0) & ~ (v2 = 0) & big_q(v3) = 0 & big_q(v0) = v2 & big_p(v3) = v4))
% 2.50/1.37 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (big_p(v2) = v1) | ~ (big_p(v2) = v0))
% 2.50/1.37 |
% 2.50/1.37 | Instantiating (1) with all_1_0_0, all_1_1_1, all_1_2_2, all_1_3_3 yields:
% 2.50/1.37 | (6) ~ (all_1_0_0 = 0) & ~ (all_1_2_2 = 0) & big_q(all_1_1_1) = 0 & big_q(all_1_3_3) = all_1_2_2 & big_p(all_1_1_1) = all_1_0_0 & big_p(all_1_3_3) = 0
% 2.50/1.37 |
% 2.50/1.37 | Applying alpha-rule on (6) yields:
% 2.50/1.37 | (7) big_p(all_1_3_3) = 0
% 2.50/1.37 | (8) big_q(all_1_1_1) = 0
% 2.50/1.37 | (9) ~ (all_1_0_0 = 0)
% 2.50/1.37 | (10) big_p(all_1_1_1) = all_1_0_0
% 2.50/1.37 | (11) big_q(all_1_3_3) = all_1_2_2
% 2.50/1.37 | (12) ~ (all_1_2_2 = 0)
% 2.50/1.37 |
% 2.50/1.37 | Instantiating formula (2) with 0, all_1_1_1 and discharging atoms big_q(all_1_1_1) = 0, yields:
% 2.50/1.37 | (13) $false
% 2.50/1.37 |
% 2.50/1.37 |-The branch is then unsatisfiable
% 2.50/1.37 % SZS output end Proof for theBenchmark
% 2.50/1.37
% 2.50/1.37 781ms
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