TSTP Solution File: NUN069+2 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NUN069+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.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 9.79s 2.95s
% Output : Proof 11.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN069+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 2 04:48:31 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.47/0.59 ____ _
% 0.47/0.59 ___ / __ \_____(_)___ ________ __________
% 0.47/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.47/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.47/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.47/0.59
% 0.47/0.59 A Theorem Prover for First-Order Logic
% 0.47/0.59 (ePrincess v.1.0)
% 0.47/0.59
% 0.47/0.59 (c) Philipp Rümmer, 2009-2015
% 0.47/0.59 (c) Peter Backeman, 2014-2015
% 0.47/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.47/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.47/0.59 Bug reports to peter@backeman.se
% 0.47/0.59
% 0.47/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.47/0.59
% 0.47/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.71/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.69/0.93 Prover 0: Preprocessing ...
% 2.08/1.08 Prover 0: Warning: ignoring some quantifiers
% 2.08/1.10 Prover 0: Constructing countermodel ...
% 2.74/1.34 Prover 0: gave up
% 2.74/1.34 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 3.11/1.37 Prover 1: Preprocessing ...
% 3.33/1.44 Prover 1: Warning: ignoring some quantifiers
% 3.33/1.45 Prover 1: Constructing countermodel ...
% 3.85/1.62 Prover 1: gave up
% 3.85/1.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.85/1.65 Prover 2: Preprocessing ...
% 4.36/1.69 Prover 2: Warning: ignoring some quantifiers
% 4.36/1.70 Prover 2: Constructing countermodel ...
% 4.92/1.82 Prover 2: gave up
% 4.92/1.83 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 4.92/1.84 Prover 3: Preprocessing ...
% 5.13/1.86 Prover 3: Warning: ignoring some quantifiers
% 5.13/1.86 Prover 3: Constructing countermodel ...
% 5.13/1.92 Prover 3: gave up
% 5.13/1.92 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 5.49/1.94 Prover 4: Preprocessing ...
% 5.69/1.98 Prover 4: Warning: ignoring some quantifiers
% 5.69/1.99 Prover 4: Constructing countermodel ...
% 6.54/2.18 Prover 4: gave up
% 6.54/2.18 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 6.54/2.19 Prover 5: Preprocessing ...
% 6.54/2.21 Prover 5: Warning: ignoring some quantifiers
% 6.54/2.22 Prover 5: Constructing countermodel ...
% 6.93/2.28 Prover 5: gave up
% 6.93/2.28 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 6.93/2.30 Prover 6: Preprocessing ...
% 7.12/2.32 Prover 6: Warning: ignoring some quantifiers
% 7.12/2.32 Prover 6: Constructing countermodel ...
% 7.56/2.40 Prover 6: gave up
% 7.56/2.40 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 7.56/2.42 Prover 7: Preprocessing ...
% 7.56/2.43 Prover 7: Proving ...
% 9.79/2.95 Prover 7: proved (550ms)
% 9.79/2.95
% 9.79/2.95 % SZS status Theorem for theBenchmark
% 9.79/2.95
% 9.79/2.95 Generating proof ... found it (size 14)
% 11.65/3.31
% 11.65/3.31 % SZS output start Proof for theBenchmark
% 11.65/3.31 Assumed formulas after preprocessing and simplification:
% 11.65/3.31 | (0) ! [v0] : ! [v1] : (v1 = v0 | ! [v2] : ( ~ r2(v1, v2) | ~ r2(v0, v2))) & ! [v0] : ! [v1] : ( ~ r2(v1, v0) | ~ r1(v1)) & ! [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] : ! [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)))
% 11.65/3.31 | Applying alpha-rule on (0) yields:
% 11.65/3.31 | (1) ? [v0] : ! [v1] : ((v1 = v0 & r1(v0)) | ( ~ (v1 = v0) & ~ r1(v1)))
% 11.65/3.31 | (2) ! [v0] : ? [v1] : (r3(v0, v1, v0) & r1(v1))
% 11.65/3.31 | (3) ! [v0] : ! [v1] : ? [v2] : ! [v3] : ((v3 = v2 & r4(v0, v1, v2)) | ( ~ (v3 = v2) & ~ r4(v0, v1, v3)))
% 11.65/3.32 | (4) ! [v0] : ? [v1] : ! [v2] : ((v2 = v1 & r2(v0, v1)) | ( ~ (v2 = v1) & ~ r2(v0, v2)))
% 11.65/3.32 | (5) ! [v0] : ! [v1] : ( ~ r2(v1, v0) | ~ r1(v1))
% 11.65/3.32 | (6) ! [v0] : ! [v1] : ? [v2] : ! [v3] : ((v3 = v2 & r3(v0, v1, v2)) | ( ~ (v3 = v2) & ~ r3(v0, v1, v3)))
% 11.65/3.32 | (7) ! [v0] : ! [v1] : ? [v2] : ( ? [v3] : (r3(v0, v3, v2) & r2(v1, v3)) & ? [v3] : (r3(v0, v1, v3) & r2(v3, v2)))
% 11.65/3.32 | (8) ! [v0] : (r1(v0) | ? [v1] : r2(v1, v0))
% 11.65/3.32 | (9) ! [v0] : ! [v1] : ( ~ r2(v0, v1) | ~ r1(v1))
% 11.65/3.32 | (10) ! [v0] : ! [v1] : ? [v2] : ( ? [v3] : (r4(v0, v3, v2) & r2(v1, v3)) & ? [v3] : (r4(v0, v1, v3) & r3(v3, v0, v2)))
% 11.65/3.32 | (11) ! [v0] : ! [v1] : (v1 = v0 | ! [v2] : ( ~ r2(v1, v2) | ~ r2(v0, v2)))
% 11.71/3.32 | (12) ! [v0] : ? [v1] : (r1(v1) & ? [v2] : (r4(v0, v2, v1) & r1(v2)))
% 11.71/3.32 |
% 11.71/3.32 | Instantiating formula (2) with ex_54_0_21 yields:
% 11.71/3.32 | (13) ? [v0] : (r3(ex_54_0_21, v0, ex_54_0_21) & r1(v0))
% 11.71/3.32 |
% 11.71/3.32 | Instantiating (13) with all_55_0_22 yields:
% 11.71/3.32 | (14) r3(ex_54_0_21, all_55_0_22, ex_54_0_21) & r1(all_55_0_22)
% 11.71/3.32 |
% 11.71/3.32 | Applying alpha-rule on (14) yields:
% 11.71/3.32 | (15) r3(ex_54_0_21, all_55_0_22, ex_54_0_21)
% 11.71/3.32 | (16) r1(all_55_0_22)
% 11.71/3.32 |
% 11.71/3.32 | Introducing new symbol ex_67_0_25 defined by:
% 11.71/3.32 | (17) ex_67_0_25 = all_55_0_22
% 11.71/3.32 |
% 11.71/3.32 | Instantiating formula (10) with ex_67_0_25, ex_67_1_26 yields:
% 11.71/3.32 | (18) ? [v0] : ( ? [v1] : (r4(ex_67_1_26, v1, v0) & r2(ex_67_0_25, v1)) & ? [v1] : (r4(ex_67_1_26, ex_67_0_25, v1) & r3(v1, ex_67_1_26, v0)))
% 11.71/3.32 |
% 11.71/3.32 | Instantiating (18) with all_68_0_27 yields:
% 11.71/3.32 | (19) ? [v0] : (r4(ex_67_1_26, v0, all_68_0_27) & r2(ex_67_0_25, v0)) & ? [v0] : (r4(ex_67_1_26, ex_67_0_25, v0) & r3(v0, ex_67_1_26, all_68_0_27))
% 11.71/3.32 |
% 11.71/3.32 | Applying alpha-rule on (19) yields:
% 11.71/3.32 | (20) ? [v0] : (r4(ex_67_1_26, v0, all_68_0_27) & r2(ex_67_0_25, v0))
% 11.71/3.32 | (21) ? [v0] : (r4(ex_67_1_26, ex_67_0_25, v0) & r3(v0, ex_67_1_26, all_68_0_27))
% 11.71/3.32 |
% 11.71/3.32 | Instantiating (20) with all_71_0_29 yields:
% 11.71/3.32 | (22) r4(ex_67_1_26, all_71_0_29, all_68_0_27) & r2(ex_67_0_25, all_71_0_29)
% 11.71/3.32 |
% 11.71/3.32 | Applying alpha-rule on (22) yields:
% 11.71/3.32 | (23) r4(ex_67_1_26, all_71_0_29, all_68_0_27)
% 11.71/3.32 | (24) r2(ex_67_0_25, all_71_0_29)
% 11.71/3.32 |
% 11.71/3.32 | Instantiating formula (5) with all_55_0_22, all_71_0_29 and discharging atoms r1(all_55_0_22), yields:
% 11.71/3.32 | (25) ~ r2(all_55_0_22, all_71_0_29)
% 11.71/3.32 |
% 11.71/3.32 | From (17) and (24) follows:
% 11.71/3.32 | (26) r2(all_55_0_22, all_71_0_29)
% 11.71/3.32 |
% 11.71/3.32 | Using (26) and (25) yields:
% 11.71/3.32 | (27) $false
% 11.71/3.32 |
% 11.71/3.32 |-The branch is then unsatisfiable
% 11.71/3.32 % SZS output end Proof for theBenchmark
% 11.71/3.32
% 11.71/3.32 2722ms
%------------------------------------------------------------------------------