TSTP Solution File: NUN067+2 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NUN067+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n026.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 : Mon Jul 18 16:25:08 EDT 2022
% Result : Theorem 8.84s 2.74s
% Output : Proof 10.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUN067+2 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 2 04:48:57 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.61/0.60 ____ _
% 0.61/0.60 ___ / __ \_____(_)___ ________ __________
% 0.61/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.61/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.61/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.61/0.60
% 0.61/0.60 A Theorem Prover for First-Order Logic
% 0.61/0.60 (ePrincess v.1.0)
% 0.61/0.60
% 0.61/0.60 (c) Philipp Rümmer, 2009-2015
% 0.61/0.60 (c) Peter Backeman, 2014-2015
% 0.61/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.61/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.61/0.60 Bug reports to peter@backeman.se
% 0.61/0.60
% 0.61/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.61/0.60
% 0.61/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.68/0.95 Prover 0: Preprocessing ...
% 2.04/1.09 Prover 0: Warning: ignoring some quantifiers
% 2.04/1.11 Prover 0: Constructing countermodel ...
% 2.54/1.33 Prover 0: gave up
% 2.54/1.33 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.91/1.36 Prover 1: Preprocessing ...
% 3.19/1.43 Prover 1: Warning: ignoring some quantifiers
% 3.19/1.44 Prover 1: Constructing countermodel ...
% 3.77/1.59 Prover 1: gave up
% 3.77/1.59 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.91/1.61 Prover 2: Preprocessing ...
% 4.08/1.66 Prover 2: Warning: ignoring some quantifiers
% 4.08/1.66 Prover 2: Constructing countermodel ...
% 4.56/1.76 Prover 2: gave up
% 4.56/1.76 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 4.56/1.78 Prover 3: Preprocessing ...
% 4.86/1.80 Prover 3: Warning: ignoring some quantifiers
% 4.86/1.80 Prover 3: Constructing countermodel ...
% 4.86/1.86 Prover 3: gave up
% 4.86/1.86 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 5.25/1.88 Prover 4: Preprocessing ...
% 5.45/1.92 Prover 4: Warning: ignoring some quantifiers
% 5.45/1.93 Prover 4: Constructing countermodel ...
% 5.94/2.08 Prover 4: gave up
% 5.94/2.08 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 6.22/2.09 Prover 5: Preprocessing ...
% 6.22/2.12 Prover 5: Warning: ignoring some quantifiers
% 6.22/2.12 Prover 5: Constructing countermodel ...
% 6.60/2.18 Prover 5: gave up
% 6.60/2.18 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 6.68/2.19 Prover 6: Preprocessing ...
% 6.68/2.21 Prover 6: Warning: ignoring some quantifiers
% 6.68/2.21 Prover 6: Constructing countermodel ...
% 6.96/2.27 Prover 6: gave up
% 6.96/2.27 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 6.96/2.29 Prover 7: Preprocessing ...
% 6.96/2.30 Prover 7: Proving ...
% 8.84/2.74 Prover 7: proved (466ms)
% 8.84/2.74
% 8.84/2.74 % SZS status Theorem for theBenchmark
% 8.84/2.74
% 8.84/2.74 Generating proof ... found it (size 12)
% 10.60/3.12
% 10.60/3.12 % SZS output start Proof for theBenchmark
% 10.60/3.12 Assumed formulas after preprocessing and simplification:
% 10.60/3.12 | (0) ! [v0] : ! [v1] : (v1 = v0 | ! [v2] : ( ~ r2(v1, v2) | ~ r2(v0, v2))) & ! [v0] : ! [v1] : ( ~ r2(v0, v1) | ~ r1(v1)) & ! [v0] : ! [v1] : ? [v2] : ! [v3] : ((v3 = v2 & r4(v0, v1, v2)) | ( ~ (v3 = v2) & ~ r4(v0, v1, v3))) & ! [v0] : ! [v1] : ? [v2] : ! [v3] : ((v3 = v2 & r3(v0, v1, v2)) | ( ~ (v3 = v2) & ~ r3(v0, v1, v3))) & ! [v0] : ? [v1] : ! [v2] : ((v2 = v1 & r2(v0, v1)) | ( ~ (v2 = v1) & ~ r2(v0, v2))) & ? [v0] : ! [v1] : ((v1 = v0 & r1(v0)) | ( ~ (v1 = v0) & ~ r1(v1))) & ! [v0] : (r1(v0) | ? [v1] : r2(v1, v0)) & ! [v0] : r1(v0) & ! [v0] : ! [v1] : ? [v2] : ( ? [v3] : (r4(v0, v3, v2) & r2(v1, v3)) & ? [v3] : (r4(v0, v1, v3) & r3(v3, v0, v2))) & ! [v0] : ! [v1] : ? [v2] : ( ? [v3] : (r3(v0, v3, v2) & r2(v1, v3)) & ? [v3] : (r3(v0, v1, v3) & r2(v3, v2))) & ! [v0] : ? [v1] : (r3(v0, v1, v0) & r1(v1)) & ! [v0] : ? [v1] : (r1(v1) & ? [v2] : (r4(v0, v2, v1) & r1(v2)))
% 10.60/3.13 | Applying alpha-rule on (0) yields:
% 10.60/3.13 | (1) ! [v0] : ? [v1] : (r1(v1) & ? [v2] : (r4(v0, v2, v1) & r1(v2)))
% 10.60/3.13 | (2) ! [v0] : (r1(v0) | ? [v1] : r2(v1, v0))
% 10.60/3.13 | (3) ! [v0] : ! [v1] : ? [v2] : ! [v3] : ((v3 = v2 & r3(v0, v1, v2)) | ( ~ (v3 = v2) & ~ r3(v0, v1, v3)))
% 10.60/3.13 | (4) ! [v0] : ? [v1] : ! [v2] : ((v2 = v1 & r2(v0, v1)) | ( ~ (v2 = v1) & ~ r2(v0, v2)))
% 10.60/3.13 | (5) ! [v0] : ! [v1] : ? [v2] : ( ? [v3] : (r3(v0, v3, v2) & r2(v1, v3)) & ? [v3] : (r3(v0, v1, v3) & r2(v3, v2)))
% 10.60/3.13 | (6) ! [v0] : ! [v1] : ( ~ r2(v0, v1) | ~ r1(v1))
% 10.60/3.13 | (7) ? [v0] : ! [v1] : ((v1 = v0 & r1(v0)) | ( ~ (v1 = v0) & ~ r1(v1)))
% 10.60/3.13 | (8) ! [v0] : ! [v1] : ? [v2] : ! [v3] : ((v3 = v2 & r4(v0, v1, v2)) | ( ~ (v3 = v2) & ~ r4(v0, v1, v3)))
% 10.60/3.13 | (9) ! [v0] : ! [v1] : (v1 = v0 | ! [v2] : ( ~ r2(v1, v2) | ~ r2(v0, v2)))
% 10.60/3.13 | (10) ! [v0] : ? [v1] : (r3(v0, v1, v0) & r1(v1))
% 10.60/3.13 | (11) ! [v0] : r1(v0)
% 10.60/3.13 | (12) ! [v0] : ! [v1] : ? [v2] : ( ? [v3] : (r4(v0, v3, v2) & r2(v1, v3)) & ? [v3] : (r4(v0, v1, v3) & r3(v3, v0, v2)))
% 10.60/3.13 |
% 10.60/3.13 | Instantiating formula (12) with ex_15_0_6, ex_15_1_7 yields:
% 10.60/3.13 | (13) ? [v0] : ( ? [v1] : (r4(ex_15_1_7, v1, v0) & r2(ex_15_0_6, v1)) & ? [v1] : (r4(ex_15_1_7, ex_15_0_6, v1) & r3(v1, ex_15_1_7, v0)))
% 10.60/3.13 |
% 10.60/3.13 | Instantiating (13) with all_16_0_8 yields:
% 10.60/3.13 | (14) ? [v0] : (r4(ex_15_1_7, v0, all_16_0_8) & r2(ex_15_0_6, v0)) & ? [v0] : (r4(ex_15_1_7, ex_15_0_6, v0) & r3(v0, ex_15_1_7, all_16_0_8))
% 10.60/3.13 |
% 10.60/3.13 | Applying alpha-rule on (14) yields:
% 10.60/3.13 | (15) ? [v0] : (r4(ex_15_1_7, v0, all_16_0_8) & r2(ex_15_0_6, v0))
% 10.60/3.13 | (16) ? [v0] : (r4(ex_15_1_7, ex_15_0_6, v0) & r3(v0, ex_15_1_7, all_16_0_8))
% 10.60/3.13 |
% 10.60/3.13 | Instantiating (15) with all_19_0_10 yields:
% 10.60/3.13 | (17) r4(ex_15_1_7, all_19_0_10, all_16_0_8) & r2(ex_15_0_6, all_19_0_10)
% 10.60/3.13 |
% 10.60/3.13 | Applying alpha-rule on (17) yields:
% 10.60/3.13 | (18) r4(ex_15_1_7, all_19_0_10, all_16_0_8)
% 10.60/3.13 | (19) r2(ex_15_0_6, all_19_0_10)
% 10.60/3.13 |
% 10.60/3.13 | Introducing new symbol ex_34_0_13 defined by:
% 10.60/3.13 | (20) ex_34_0_13 = all_19_0_10
% 10.60/3.13 |
% 10.60/3.13 | Instantiating formula (11) with ex_34_0_13 yields:
% 10.60/3.13 | (21) r1(ex_34_0_13)
% 10.60/3.13 |
% 10.60/3.13 | Instantiating formula (6) with all_19_0_10, ex_15_0_6 and discharging atoms r2(ex_15_0_6, all_19_0_10), yields:
% 10.60/3.14 | (22) ~ r1(all_19_0_10)
% 10.60/3.14 |
% 10.60/3.14 | From (20) and (21) follows:
% 10.60/3.14 | (23) r1(all_19_0_10)
% 10.60/3.14 |
% 10.60/3.14 | Using (23) and (22) yields:
% 10.60/3.14 | (24) $false
% 10.60/3.14 |
% 10.60/3.14 |-The branch is then unsatisfiable
% 10.60/3.14 % SZS output end Proof for theBenchmark
% 10.60/3.14
% 10.60/3.14 2523ms
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