TSTP Solution File: KRS120+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS120+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.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 : Sun Jul 17 02:56:37 EDT 2022
% Result : Unsatisfiable 86.20s 52.74s
% Output : Proof 92.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS120+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n028.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 : Tue Jun 7 17:13:15 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.64/0.64 ____ _
% 0.64/0.64 ___ / __ \_____(_)___ ________ __________
% 0.64/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.64/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.64/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.64/0.64
% 0.64/0.64 A Theorem Prover for First-Order Logic
% 0.64/0.64 (ePrincess v.1.0)
% 0.64/0.64
% 0.64/0.64 (c) Philipp Rümmer, 2009-2015
% 0.64/0.64 (c) Peter Backeman, 2014-2015
% 0.64/0.64 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.64/0.64 Free software under GNU Lesser General Public License (LGPL).
% 0.64/0.64 Bug reports to peter@backeman.se
% 0.64/0.64
% 0.64/0.64 For more information, visit http://user.uu.se/~petba168/breu/
% 0.64/0.64
% 0.64/0.65 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.76/0.70 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.70/1.02 Prover 0: Preprocessing ...
% 2.16/1.19 Prover 0: Warning: ignoring some quantifiers
% 2.16/1.21 Prover 0: Constructing countermodel ...
% 16.26/5.99 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 16.35/6.04 Prover 1: Preprocessing ...
% 17.24/6.24 Prover 1: Constructing countermodel ...
% 17.71/6.30 Prover 1: gave up
% 17.71/6.30 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 17.71/6.34 Prover 2: Preprocessing ...
% 17.90/6.44 Prover 2: Warning: ignoring some quantifiers
% 18.35/6.44 Prover 2: Constructing countermodel ...
% 18.60/6.54 Prover 2: gave up
% 18.60/6.54 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 18.88/6.56 Prover 3: Preprocessing ...
% 18.88/6.57 Prover 3: Warning: ignoring some quantifiers
% 18.88/6.58 Prover 3: Constructing countermodel ...
% 74.31/49.90 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 74.31/49.93 Prover 4: Preprocessing ...
% 75.06/50.06 Prover 4: Warning: ignoring some quantifiers
% 75.06/50.07 Prover 4: Constructing countermodel ...
% 78.78/50.97 Prover 3: stopped
% 79.14/51.13 Prover 4: gave up
% 79.14/51.13 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 79.33/51.15 Prover 5: Preprocessing ...
% 79.38/51.20 Prover 5: Constructing countermodel ...
% 79.81/51.25 Prover 5: gave up
% 79.81/51.25 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 79.81/51.26 Prover 6: Preprocessing ...
% 79.81/51.31 Prover 6: Warning: ignoring some quantifiers
% 79.81/51.32 Prover 6: Constructing countermodel ...
% 80.23/51.36 Prover 6: gave up
% 80.23/51.36 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 80.23/51.38 Prover 7: Preprocessing ...
% 80.46/51.39 Prover 7: Proving ...
% 86.20/52.74 Prover 7: proved (1378ms)
% 86.20/52.74 Prover 0: stopped
% 86.20/52.74
% 86.20/52.74 % SZS status Unsatisfiable for theBenchmark
% 86.20/52.74
% 86.20/52.74 Generating proof ... found it (size 32)
% 92.21/54.55
% 92.21/54.55 % SZS output start Proof for theBenchmark
% 92.21/54.55 Assumed formulas after preprocessing and simplification:
% 92.21/54.55 | (0) ? [v0] : (cUnsatisfiable(v0) & ! [v1] : ! [v2] : ! [v3] : ( ~ rr(v2, v3) | ~ rr(v1, v2) | rr(v1, v3)) & ! [v1] : ! [v2] : ( ~ rr(v2, v1) | rinvR(v1, v2)) & ! [v1] : ! [v2] : ( ~ rinvR(v1, v2) | rr(v2, v1)) & ! [v1] : ! [v2] : ( ~ rinvF(v1, v2) | rf(v2, v1)) & ! [v1] : ! [v2] : ( ~ rf(v2, v1) | rinvF(v1, v2)) & ! [v1] : ( ~ xsd_string(v1) | ~ xsd_integer(v1)) & ! [v1] : ( ~ cp1xcomp(v1) | ? [v2] : ra_Px1(v1, v2)) & ! [v1] : ( ~ cp1(v1) | ca_Ax2(v1) | ! [v2] : ( ~ rinvF(v1, v2) | ~ ca_Vx3(v2))) & ! [v1] : ( ~ cp1(v1) | ! [v2] : ~ ra_Px1(v1, v2)) & ! [v1] : ( ~ cowlThing(v1) | ! [v2] : ! [v3] : (v3 = v2 | ~ rf(v1, v3) | ~ rf(v1, v2))) & ! [v1] : ~ cowlNothing(v1) & ! [v1] : ( ~ ca_Vx3(v1) | ? [v2] : (rf(v1, v2) & cp1xcomp(v2))) & ! [v1] : ( ~ ca_Ax2(v1) | (cp1(v1) & ? [v2] : (rinvF(v1, v2) & ca_Vx3(v2)))) & ! [v1] : ( ~ cUnsatisfiable(v1) | ? [v2] : (rf(v1, v2) & ca_Ax2(v2))) & ! [v1] : (xsd_string(v1) | xsd_integer(v1)) & ! [v1] : (cp1xcomp(v1) | ! [v2] : ~ ra_Px1(v1, v2)) & ! [v1] : (cp1(v1) | ? [v2] : ra_Px1(v1, v2)) & ! [v1] : cowlThing(v1) & ! [v1] : (ca_Vx3(v1) | ! [v2] : ( ~ rf(v1, v2) | ~ cp1xcomp(v2))) & ! [v1] : (cUnsatisfiable(v1) | ! [v2] : ( ~ rf(v1, v2) | ~ ca_Ax2(v2))))
% 92.21/54.55 | Instantiating (0) with all_0_0_0 yields:
% 92.21/54.55 | (1) cUnsatisfiable(all_0_0_0) & ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2)) & ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1)) & ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0)) & ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0)) & ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ( ~ cp1xcomp(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : ( ~ cp1(v0) | ca_Ax2(v0) | ! [v1] : ( ~ rinvF(v0, v1) | ~ ca_Vx3(v1))) & ! [v0] : ( ~ cp1(v0) | ! [v1] : ~ ra_Px1(v0, v1)) & ! [v0] : ( ~ cowlThing(v0) | ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1))) & ! [v0] : ~ cowlNothing(v0) & ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rf(v0, v1) & cp1xcomp(v1))) & ! [v0] : ( ~ ca_Ax2(v0) | (cp1(v0) & ? [v1] : (rinvF(v0, v1) & ca_Vx3(v1)))) & ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & ca_Ax2(v1))) & ! [v0] : (xsd_string(v0) | xsd_integer(v0)) & ! [v0] : (cp1xcomp(v0) | ! [v1] : ~ ra_Px1(v0, v1)) & ! [v0] : (cp1(v0) | ? [v1] : ra_Px1(v0, v1)) & ! [v0] : cowlThing(v0) & ! [v0] : (ca_Vx3(v0) | ! [v1] : ( ~ rf(v0, v1) | ~ cp1xcomp(v1))) & ! [v0] : (cUnsatisfiable(v0) | ! [v1] : ( ~ rf(v0, v1) | ~ ca_Ax2(v1)))
% 92.21/54.56 |
% 92.21/54.56 | Applying alpha-rule on (1) yields:
% 92.21/54.56 | (2) ! [v0] : ~ cowlNothing(v0)
% 92.21/54.56 | (3) ! [v0] : ( ~ cowlThing(v0) | ! [v1] : ! [v2] : (v2 = v1 | ~ rf(v0, v2) | ~ rf(v0, v1)))
% 92.21/54.56 | (4) ! [v0] : cowlThing(v0)
% 92.21/54.56 | (5) ! [v0] : (cp1xcomp(v0) | ! [v1] : ~ ra_Px1(v0, v1))
% 92.21/54.56 | (6) ! [v0] : ( ~ ca_Vx3(v0) | ? [v1] : (rf(v0, v1) & cp1xcomp(v1)))
% 92.21/54.56 | (7) ! [v0] : ( ~ cp1(v0) | ca_Ax2(v0) | ! [v1] : ( ~ rinvF(v0, v1) | ~ ca_Vx3(v1)))
% 92.21/54.56 | (8) cUnsatisfiable(all_0_0_0)
% 92.21/54.56 | (9) ! [v0] : ( ~ ca_Ax2(v0) | (cp1(v0) & ? [v1] : (rinvF(v0, v1) & ca_Vx3(v1))))
% 92.21/54.56 | (10) ! [v0] : ( ~ cp1(v0) | ! [v1] : ~ ra_Px1(v0, v1))
% 92.21/54.56 | (11) ! [v0] : ! [v1] : ( ~ rf(v1, v0) | rinvF(v0, v1))
% 92.21/54.56 | (12) ! [v0] : ! [v1] : ( ~ rinvF(v0, v1) | rf(v1, v0))
% 92.21/54.56 | (13) ! [v0] : (xsd_string(v0) | xsd_integer(v0))
% 92.21/54.56 | (14) ! [v0] : (ca_Vx3(v0) | ! [v1] : ( ~ rf(v0, v1) | ~ cp1xcomp(v1)))
% 92.21/54.56 | (15) ! [v0] : ( ~ cUnsatisfiable(v0) | ? [v1] : (rf(v0, v1) & ca_Ax2(v1)))
% 92.21/54.56 | (16) ! [v0] : ( ~ cp1xcomp(v0) | ? [v1] : ra_Px1(v0, v1))
% 92.21/54.56 | (17) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0))
% 92.21/54.56 | (18) ! [v0] : ! [v1] : ( ~ rinvR(v0, v1) | rr(v1, v0))
% 92.21/54.56 | (19) ! [v0] : ! [v1] : ( ~ rr(v1, v0) | rinvR(v0, v1))
% 92.21/54.56 | (20) ! [v0] : (cp1(v0) | ? [v1] : ra_Px1(v0, v1))
% 92.21/54.56 | (21) ! [v0] : (cUnsatisfiable(v0) | ! [v1] : ( ~ rf(v0, v1) | ~ ca_Ax2(v1)))
% 92.21/54.56 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2))
% 92.21/54.56 |
% 92.21/54.56 | Instantiating formula (15) with all_0_0_0 and discharging atoms cUnsatisfiable(all_0_0_0), yields:
% 92.21/54.57 | (23) ? [v0] : (rf(all_0_0_0, v0) & ca_Ax2(v0))
% 92.21/54.57 |
% 92.21/54.57 | Instantiating (23) with all_8_0_1 yields:
% 92.21/54.57 | (24) rf(all_0_0_0, all_8_0_1) & ca_Ax2(all_8_0_1)
% 92.21/54.57 |
% 92.21/54.57 | Applying alpha-rule on (24) yields:
% 92.21/54.57 | (25) rf(all_0_0_0, all_8_0_1)
% 92.21/54.57 | (26) ca_Ax2(all_8_0_1)
% 92.21/54.57 |
% 92.21/54.57 | Instantiating formula (9) with all_8_0_1 and discharging atoms ca_Ax2(all_8_0_1), yields:
% 92.21/54.57 | (27) cp1(all_8_0_1) & ? [v0] : (rinvF(all_8_0_1, v0) & ca_Vx3(v0))
% 92.21/54.57 |
% 92.21/54.57 | Applying alpha-rule on (27) yields:
% 92.21/54.57 | (28) cp1(all_8_0_1)
% 92.21/54.57 | (29) ? [v0] : (rinvF(all_8_0_1, v0) & ca_Vx3(v0))
% 92.21/54.57 |
% 92.21/54.57 | Instantiating (29) with all_16_0_2 yields:
% 92.21/54.57 | (30) rinvF(all_8_0_1, all_16_0_2) & ca_Vx3(all_16_0_2)
% 92.21/54.57 |
% 92.21/54.57 | Applying alpha-rule on (30) yields:
% 92.21/54.57 | (31) rinvF(all_8_0_1, all_16_0_2)
% 92.21/54.57 | (32) ca_Vx3(all_16_0_2)
% 92.21/54.57 |
% 92.21/54.57 | Instantiating formula (12) with all_16_0_2, all_8_0_1 and discharging atoms rinvF(all_8_0_1, all_16_0_2), yields:
% 92.21/54.57 | (33) rf(all_16_0_2, all_8_0_1)
% 92.21/54.57 |
% 92.21/54.57 | Instantiating formula (10) with all_8_0_1 and discharging atoms cp1(all_8_0_1), yields:
% 92.21/54.57 | (34) ! [v0] : ~ ra_Px1(all_8_0_1, v0)
% 92.21/54.57 |
% 92.21/54.57 | Instantiating formula (6) with all_16_0_2 and discharging atoms ca_Vx3(all_16_0_2), yields:
% 92.21/54.57 | (35) ? [v0] : (rf(all_16_0_2, v0) & cp1xcomp(v0))
% 92.21/54.57 |
% 92.21/54.57 | Instantiating (35) with all_25_0_3 yields:
% 92.21/54.57 | (36) rf(all_16_0_2, all_25_0_3) & cp1xcomp(all_25_0_3)
% 92.21/54.57 |
% 92.21/54.57 | Applying alpha-rule on (36) yields:
% 92.21/54.57 | (37) rf(all_16_0_2, all_25_0_3)
% 92.21/54.57 | (38) cp1xcomp(all_25_0_3)
% 92.21/54.57 |
% 92.21/54.57 | Instantiating formula (16) with all_25_0_3 and discharging atoms cp1xcomp(all_25_0_3), yields:
% 92.21/54.57 | (39) ? [v0] : ra_Px1(all_25_0_3, v0)
% 92.21/54.57 |
% 92.21/54.57 | Instantiating (39) with all_33_0_4 yields:
% 92.21/54.57 | (40) ra_Px1(all_25_0_3, all_33_0_4)
% 92.21/54.57 |
% 92.21/54.57 | Instantiating formula (34) with all_33_0_4 yields:
% 92.21/54.57 | (41) ~ ra_Px1(all_8_0_1, all_33_0_4)
% 92.21/54.57 |
% 92.21/54.57 | Introducing new symbol ex_116_0_30 defined by:
% 92.21/54.57 | (42) ex_116_0_30 = all_16_0_2
% 92.21/54.57 |
% 92.21/54.57 | Instantiating formula (4) with ex_116_0_30 yields:
% 92.21/54.57 | (43) cowlThing(ex_116_0_30)
% 92.21/54.57 |
% 92.21/54.57 | Instantiating formula (3) with ex_116_0_30 and discharging atoms cowlThing(ex_116_0_30), yields:
% 92.21/54.57 | (44) ! [v0] : ! [v1] : (v1 = v0 | ~ rf(ex_116_0_30, v1) | ~ rf(ex_116_0_30, v0))
% 92.21/54.57 |
% 92.21/54.57 | Instantiating formula (44) with all_8_0_1, all_25_0_3 yields:
% 92.21/54.57 | (45) all_25_0_3 = all_8_0_1 | ~ rf(ex_116_0_30, all_25_0_3) | ~ rf(ex_116_0_30, all_8_0_1)
% 92.21/54.57 |
% 92.21/54.57 +-Applying beta-rule and splitting (45), into two cases.
% 92.21/54.57 |-Branch one:
% 92.21/54.57 | (46) ~ rf(ex_116_0_30, all_25_0_3)
% 92.21/54.57 |
% 92.21/54.57 | From (42) and (46) follows:
% 92.21/54.57 | (47) ~ rf(all_16_0_2, all_25_0_3)
% 92.21/54.57 |
% 92.21/54.57 | Using (37) and (47) yields:
% 92.21/54.57 | (48) $false
% 92.21/54.57 |
% 92.21/54.57 |-The branch is then unsatisfiable
% 92.21/54.57 |-Branch two:
% 92.21/54.57 | (49) all_25_0_3 = all_8_0_1 | ~ rf(ex_116_0_30, all_8_0_1)
% 92.21/54.57 |
% 92.21/54.57 +-Applying beta-rule and splitting (49), into two cases.
% 92.21/54.57 |-Branch one:
% 92.21/54.57 | (50) ~ rf(ex_116_0_30, all_8_0_1)
% 92.21/54.57 |
% 92.21/54.57 | From (42) and (50) follows:
% 92.21/54.57 | (51) ~ rf(all_16_0_2, all_8_0_1)
% 92.21/54.57 |
% 92.21/54.57 | Using (33) and (51) yields:
% 92.21/54.57 | (48) $false
% 92.21/54.57 |
% 92.21/54.57 |-The branch is then unsatisfiable
% 92.21/54.57 |-Branch two:
% 92.21/54.57 | (53) all_25_0_3 = all_8_0_1
% 92.21/54.57 |
% 92.21/54.57 | From (53) and (40) follows:
% 92.21/54.57 | (54) ra_Px1(all_8_0_1, all_33_0_4)
% 92.21/54.57 |
% 92.21/54.57 | Using (54) and (41) yields:
% 92.21/54.57 | (48) $false
% 92.21/54.57 |
% 92.21/54.57 |-The branch is then unsatisfiable
% 92.21/54.57 % SZS output end Proof for theBenchmark
% 92.21/54.57
% 92.21/54.57 53914ms
%------------------------------------------------------------------------------