TSTP Solution File: SYN066+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN066+1 : TPTP v8.1.0. Bugfixed v3.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n015.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 04:59:37 EDT 2022
% Result : Theorem 3.91s 1.77s
% Output : Proof 4.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN066+1 : TPTP v8.1.0. Bugfixed v3.0.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n015.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 Jul 12 09:19:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.56/0.60 ____ _
% 0.56/0.60 ___ / __ \_____(_)___ ________ __________
% 0.56/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.60
% 0.56/0.60 A Theorem Prover for First-Order Logic
% 0.56/0.60 (ePrincess v.1.0)
% 0.56/0.60
% 0.56/0.60 (c) Philipp Rümmer, 2009-2015
% 0.56/0.60 (c) Peter Backeman, 2014-2015
% 0.56/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.60 Bug reports to peter@backeman.se
% 0.56/0.60
% 0.56/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.60
% 0.56/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.69/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.29/0.90 Prover 0: Preprocessing ...
% 1.38/0.97 Prover 0: Warning: ignoring some quantifiers
% 1.38/0.98 Prover 0: Constructing countermodel ...
% 1.85/1.09 Prover 0: gave up
% 1.85/1.10 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.85/1.11 Prover 1: Preprocessing ...
% 1.85/1.17 Prover 1: Warning: ignoring some quantifiers
% 1.85/1.17 Prover 1: Constructing countermodel ...
% 2.17/1.18 Prover 1: gave up
% 2.17/1.18 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.17/1.19 Prover 2: Preprocessing ...
% 2.29/1.22 Prover 2: Warning: ignoring some quantifiers
% 2.37/1.23 Prover 2: Constructing countermodel ...
% 2.37/1.25 Prover 2: gave up
% 2.37/1.25 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.37/1.26 Prover 3: Preprocessing ...
% 2.37/1.27 Prover 3: Warning: ignoring some quantifiers
% 2.37/1.27 Prover 3: Constructing countermodel ...
% 2.37/1.29 Prover 3: gave up
% 2.37/1.29 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.37/1.30 Prover 4: Preprocessing ...
% 2.66/1.33 Prover 4: Warning: ignoring some quantifiers
% 2.66/1.34 Prover 4: Constructing countermodel ...
% 2.90/1.43 Prover 4: gave up
% 2.90/1.43 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.90/1.43 Prover 5: Preprocessing ...
% 2.90/1.45 Prover 5: Warning: ignoring some quantifiers
% 2.90/1.45 Prover 5: Constructing countermodel ...
% 2.90/1.46 Prover 5: gave up
% 2.90/1.46 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.90/1.46 Prover 6: Preprocessing ...
% 3.22/1.48 Prover 6: Warning: ignoring some quantifiers
% 3.22/1.48 Prover 6: Constructing countermodel ...
% 3.22/1.50 Prover 6: gave up
% 3.22/1.50 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 3.22/1.50 Prover 7: Preprocessing ...
% 3.30/1.51 Prover 7: Proving ...
% 3.91/1.76 Prover 7: proved (268ms)
% 3.91/1.77
% 3.91/1.77 % SZS status Theorem for theBenchmark
% 3.91/1.77
% 3.91/1.77 Generating proof ... found it (size 34)
% 4.73/2.04
% 4.73/2.04 % SZS output start Proof for theBenchmark
% 4.73/2.04 Assumed formulas after preprocessing and simplification:
% 4.73/2.04 | (0) ! [v0] : ! [v1] : (big_p(v0, v1) | ? [v2] : big_q(v2, v1)) & ? [v0] : ! [v1] : ~ big_r(v0, v1) & ! [v0] : ? [v1] : ! [v2] : ? [v3] : (big_p(v3, v0) & ( ~ big_p(v3, v1) | ? [v4] : big_q(v4, v1)) & ( ~ big_p(v2, v0) | big_p(v3, v1))) & ( ! [v0] : ! [v1] : ~ big_q(v0, v1) | ! [v0] : big_r(v0, v0))
% 4.73/2.04 | Applying alpha-rule on (0) yields:
% 4.73/2.04 | (1) ! [v0] : ! [v1] : (big_p(v0, v1) | ? [v2] : big_q(v2, v1))
% 4.73/2.05 | (2) ? [v0] : ! [v1] : ~ big_r(v0, v1)
% 4.73/2.05 | (3) ! [v0] : ? [v1] : ! [v2] : ? [v3] : (big_p(v3, v0) & ( ~ big_p(v3, v1) | ? [v4] : big_q(v4, v1)) & ( ~ big_p(v2, v0) | big_p(v3, v1)))
% 4.73/2.05 | (4) ! [v0] : ! [v1] : ~ big_q(v0, v1) | ! [v0] : big_r(v0, v0)
% 4.73/2.05 |
% 4.73/2.05 | Instantiating (2) with all_0_0_0 yields:
% 4.73/2.05 | (5) ! [v0] : ~ big_r(all_0_0_0, v0)
% 4.73/2.05 |
% 4.73/2.05 +-Applying beta-rule and splitting (4), into two cases.
% 4.73/2.05 |-Branch one:
% 4.73/2.05 | (6) ! [v0] : ! [v1] : ~ big_q(v0, v1)
% 4.73/2.05 |
% 4.73/2.05 | Introducing new symbol ex_8_1_2 defined by:
% 4.73/2.05 | (7) ex_8_1_2 = arbitrary_constant
% 4.73/2.05 |
% 4.73/2.05 | Introducing new symbol ex_8_0_1 defined by:
% 4.73/2.05 | (8) ex_8_0_1 = arbitrary_constant
% 4.73/2.05 |
% 4.73/2.05 | Instantiating formula (1) with ex_8_0_1, ex_8_1_2 yields:
% 4.73/2.05 | (9) big_p(ex_8_1_2, ex_8_0_1) | ? [v0] : big_q(v0, ex_8_0_1)
% 4.73/2.05 |
% 4.73/2.05 +-Applying beta-rule and splitting (9), into two cases.
% 4.73/2.05 |-Branch one:
% 4.73/2.05 | (10) big_p(ex_8_1_2, ex_8_0_1)
% 4.73/2.05 |
% 4.73/2.05 | Introducing new symbol ex_17_0_4 defined by:
% 4.73/2.05 | (11) ex_17_0_4 = arbitrary_constant
% 4.73/2.05 |
% 4.73/2.05 | Instantiating formula (3) with ex_17_0_4 yields:
% 4.73/2.05 | (12) ? [v0] : ! [v1] : ? [v2] : (big_p(v2, ex_17_0_4) & ( ~ big_p(v2, v0) | ? [v3] : big_q(v3, v0)) & ( ~ big_p(v1, ex_17_0_4) | big_p(v2, v0)))
% 4.73/2.05 |
% 4.73/2.05 | Instantiating (12) with all_18_0_5 yields:
% 4.73/2.05 | (13) ! [v0] : ? [v1] : (big_p(v1, ex_17_0_4) & ( ~ big_p(v1, all_18_0_5) | ? [v2] : big_q(v2, all_18_0_5)) & ( ~ big_p(v0, ex_17_0_4) | big_p(v1, all_18_0_5)))
% 4.73/2.05 |
% 4.73/2.05 | Introducing new symbol ex_32_0_11 defined by:
% 4.73/2.05 | (14) ex_32_0_11 = arbitrary_constant
% 4.73/2.05 |
% 4.73/2.05 | Instantiating formula (13) with ex_32_0_11 yields:
% 4.73/2.05 | (15) ? [v0] : (big_p(v0, ex_17_0_4) & ( ~ big_p(v0, all_18_0_5) | ? [v1] : big_q(v1, all_18_0_5)) & ( ~ big_p(ex_32_0_11, ex_17_0_4) | big_p(v0, all_18_0_5)))
% 4.73/2.05 |
% 4.73/2.05 | Instantiating (15) with all_33_0_12 yields:
% 4.73/2.05 | (16) big_p(all_33_0_12, ex_17_0_4) & ( ~ big_p(all_33_0_12, all_18_0_5) | ? [v0] : big_q(v0, all_18_0_5)) & ( ~ big_p(ex_32_0_11, ex_17_0_4) | big_p(all_33_0_12, all_18_0_5))
% 4.73/2.05 |
% 4.73/2.05 | Applying alpha-rule on (16) yields:
% 4.73/2.05 | (17) big_p(all_33_0_12, ex_17_0_4)
% 4.73/2.05 | (18) ~ big_p(all_33_0_12, all_18_0_5) | ? [v0] : big_q(v0, all_18_0_5)
% 4.73/2.05 | (19) ~ big_p(ex_32_0_11, ex_17_0_4) | big_p(all_33_0_12, all_18_0_5)
% 4.73/2.05 |
% 4.73/2.05 +-Applying beta-rule and splitting (19), into two cases.
% 4.73/2.05 |-Branch one:
% 4.73/2.05 | (20) ~ big_p(ex_32_0_11, ex_17_0_4)
% 4.73/2.05 |
% 4.73/2.05 | From (7)(8) and (10) follows:
% 4.73/2.05 | (21) big_p(arbitrary_constant, arbitrary_constant)
% 4.73/2.05 |
% 4.73/2.05 | From (14)(11) and (20) follows:
% 4.73/2.05 | (22) ~ big_p(arbitrary_constant, arbitrary_constant)
% 4.73/2.05 |
% 4.73/2.05 | Using (21) and (22) yields:
% 4.73/2.05 | (23) $false
% 4.73/2.05 |
% 4.73/2.05 |-The branch is then unsatisfiable
% 4.73/2.05 |-Branch two:
% 4.73/2.05 | (24) big_p(all_33_0_12, all_18_0_5)
% 4.73/2.05 |
% 4.73/2.05 +-Applying beta-rule and splitting (18), into two cases.
% 4.73/2.05 |-Branch one:
% 4.73/2.05 | (25) ~ big_p(all_33_0_12, all_18_0_5)
% 4.73/2.05 |
% 4.73/2.05 | Using (24) and (25) yields:
% 4.73/2.05 | (23) $false
% 4.73/2.05 |
% 4.73/2.05 |-The branch is then unsatisfiable
% 4.73/2.05 |-Branch two:
% 4.73/2.05 | (27) ? [v0] : big_q(v0, all_18_0_5)
% 4.73/2.05 |
% 4.73/2.05 | Instantiating (27) with all_45_0_13 yields:
% 4.73/2.05 | (28) big_q(all_45_0_13, all_18_0_5)
% 4.73/2.05 |
% 4.73/2.05 | Instantiating formula (6) with all_18_0_5, all_45_0_13 and discharging atoms big_q(all_45_0_13, all_18_0_5), yields:
% 4.73/2.05 | (23) $false
% 4.73/2.05 |
% 4.73/2.05 |-The branch is then unsatisfiable
% 4.73/2.05 |-Branch two:
% 4.73/2.05 | (30) ? [v0] : big_q(v0, ex_8_0_1)
% 4.73/2.05 |
% 4.73/2.05 | Instantiating (30) with all_10_0_3 yields:
% 4.73/2.05 | (31) big_q(all_10_0_3, ex_8_0_1)
% 4.73/2.05 |
% 4.73/2.05 | Instantiating formula (6) with ex_8_0_1, all_10_0_3 and discharging atoms big_q(all_10_0_3, ex_8_0_1), yields:
% 4.73/2.05 | (23) $false
% 4.73/2.05 |
% 4.73/2.05 |-The branch is then unsatisfiable
% 4.73/2.06 |-Branch two:
% 4.73/2.06 | (33) ! [v0] : big_r(v0, v0)
% 4.73/2.06 |
% 4.73/2.06 | Introducing new symbol ex_18_0_19 defined by:
% 4.73/2.06 | (34) ex_18_0_19 = all_0_0_0
% 4.73/2.06 |
% 4.73/2.06 | Instantiating formula (33) with ex_18_0_19 yields:
% 4.73/2.06 | (35) big_r(ex_18_0_19, ex_18_0_19)
% 4.73/2.06 |
% 4.73/2.06 | Instantiating formula (5) with all_0_0_0 yields:
% 4.73/2.06 | (36) ~ big_r(all_0_0_0, all_0_0_0)
% 4.73/2.06 |
% 4.73/2.06 | From (34)(34) and (35) follows:
% 4.73/2.06 | (37) big_r(all_0_0_0, all_0_0_0)
% 4.73/2.06 |
% 4.73/2.06 | Using (37) and (36) yields:
% 4.73/2.06 | (23) $false
% 4.73/2.06 |
% 4.73/2.06 |-The branch is then unsatisfiable
% 4.73/2.06 % SZS output end Proof for theBenchmark
% 4.73/2.06
% 4.73/2.06 1448ms
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