TSTP Solution File: SYN065+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN065+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.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 04:59:36 EDT 2022
% Result : Theorem 6.35s 2.29s
% Output : Proof 7.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN065+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jul 12 08:29:19 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.58 ____ _
% 0.18/0.58 ___ / __ \_____(_)___ ________ __________
% 0.18/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.58
% 0.18/0.58 A Theorem Prover for First-Order Logic
% 0.18/0.58 (ePrincess v.1.0)
% 0.18/0.58
% 0.18/0.58 (c) Philipp Rümmer, 2009-2015
% 0.18/0.58 (c) Peter Backeman, 2014-2015
% 0.18/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.58 Bug reports to peter@backeman.se
% 0.18/0.58
% 0.18/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.58
% 0.18/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.64/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.28/0.88 Prover 0: Preprocessing ...
% 1.28/0.94 Prover 0: Warning: ignoring some quantifiers
% 1.28/0.95 Prover 0: Constructing countermodel ...
% 1.63/1.09 Prover 0: gave up
% 1.63/1.09 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.63/1.10 Prover 1: Preprocessing ...
% 2.09/1.16 Prover 1: Warning: ignoring some quantifiers
% 2.09/1.16 Prover 1: Constructing countermodel ...
% 2.09/1.19 Prover 1: gave up
% 2.09/1.19 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.27/1.20 Prover 2: Preprocessing ...
% 2.27/1.28 Prover 2: Warning: ignoring some quantifiers
% 2.54/1.28 Prover 2: Constructing countermodel ...
% 2.89/1.40 Prover 2: gave up
% 2.89/1.40 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.89/1.41 Prover 3: Preprocessing ...
% 2.89/1.41 Prover 3: Warning: ignoring some quantifiers
% 3.04/1.41 Prover 3: Constructing countermodel ...
% 3.13/1.44 Prover 3: gave up
% 3.13/1.44 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 3.13/1.44 Prover 4: Preprocessing ...
% 3.13/1.49 Prover 4: Warning: ignoring some quantifiers
% 3.13/1.49 Prover 4: Constructing countermodel ...
% 3.76/1.63 Prover 4: gave up
% 3.76/1.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.76/1.63 Prover 5: Preprocessing ...
% 3.76/1.65 Prover 5: Warning: ignoring some quantifiers
% 3.76/1.65 Prover 5: Constructing countermodel ...
% 4.17/1.69 Prover 5: gave up
% 4.17/1.69 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 4.17/1.70 Prover 6: Preprocessing ...
% 4.33/1.72 Prover 6: Warning: ignoring some quantifiers
% 4.33/1.72 Prover 6: Constructing countermodel ...
% 4.41/1.77 Prover 6: gave up
% 4.41/1.77 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximalOutermost -resolutionMethod=normal -ignoreQuantifiers -generateTriggers=all
% 4.41/1.78 Prover 7: Preprocessing ...
% 4.41/1.78 Prover 7: Proving ...
% 6.35/2.29 Prover 7: proved (517ms)
% 6.35/2.29
% 6.35/2.29 % SZS status Theorem for theBenchmark
% 6.35/2.29
% 6.35/2.29 Generating proof ... found it (size 30)
% 7.46/2.76
% 7.46/2.76 % SZS output start Proof for theBenchmark
% 7.46/2.76 Assumed formulas after preprocessing and simplification:
% 7.46/2.76 | (0) ! [v0] : ! [v1] : ( ! [v2] : (big_h(v0, v2) | ( ~ big_g(v1, v2) & ~ big_f(v1, v2))) | ( ~ big_g(v0, v1) & ~ big_f(v0, v1))) & ? [v0] : ! [v1] : ~ big_h(v0, v1) & ! [v0] : ? [v1] : big_g(v0, v1) & ! [v0] : ? [v1] : big_f(v0, v1)
% 7.46/2.76 | Applying alpha-rule on (0) yields:
% 7.46/2.76 | (1) ! [v0] : ! [v1] : ( ! [v2] : (big_h(v0, v2) | ( ~ big_g(v1, v2) & ~ big_f(v1, v2))) | ( ~ big_g(v0, v1) & ~ big_f(v0, v1)))
% 7.46/2.76 | (2) ? [v0] : ! [v1] : ~ big_h(v0, v1)
% 7.46/2.76 | (3) ! [v0] : ? [v1] : big_g(v0, v1)
% 7.46/2.76 | (4) ! [v0] : ? [v1] : big_f(v0, v1)
% 7.46/2.77 |
% 7.46/2.77 | Instantiating (2) with all_0_0_0 yields:
% 7.46/2.77 | (5) ! [v0] : ~ big_h(all_0_0_0, v0)
% 7.46/2.77 |
% 7.46/2.77 | Introducing new symbol ex_4_0_1 defined by:
% 7.46/2.77 | (6) ex_4_0_1 = all_0_0_0
% 7.46/2.77 |
% 7.46/2.77 | Instantiating formula (4) with ex_4_0_1 yields:
% 7.46/2.77 | (7) ? [v0] : big_f(ex_4_0_1, v0)
% 7.46/2.77 |
% 7.46/2.77 | Instantiating (7) with all_5_0_2 yields:
% 7.46/2.77 | (8) big_f(ex_4_0_1, all_5_0_2)
% 7.46/2.77 |
% 7.46/2.77 | Introducing new symbol ex_13_1_4 defined by:
% 7.46/2.77 | (9) ex_13_1_4 = all_0_0_0
% 7.46/2.77 |
% 7.46/2.77 | Introducing new symbol ex_13_0_3 defined by:
% 7.46/2.77 | (10) ex_13_0_3 = all_5_0_2
% 7.46/2.77 |
% 7.46/2.77 | Instantiating formula (1) with ex_13_0_3, ex_13_1_4 yields:
% 7.46/2.77 | (11) ! [v0] : (big_h(ex_13_1_4, v0) | ( ~ big_g(ex_13_0_3, v0) & ~ big_f(ex_13_0_3, v0))) | ( ~ big_g(ex_13_1_4, ex_13_0_3) & ~ big_f(ex_13_1_4, ex_13_0_3))
% 7.46/2.77 |
% 7.46/2.77 +-Applying beta-rule and splitting (11), into two cases.
% 7.46/2.77 |-Branch one:
% 7.46/2.77 | (12) ! [v0] : (big_h(ex_13_1_4, v0) | ( ~ big_g(ex_13_0_3, v0) & ~ big_f(ex_13_0_3, v0)))
% 7.46/2.77 |
% 7.46/2.77 | Introducing new symbol ex_16_0_5 defined by:
% 7.46/2.77 | (13) ex_16_0_5 = all_5_0_2
% 7.46/2.77 |
% 7.46/2.77 | Instantiating formula (3) with ex_16_0_5 yields:
% 7.46/2.77 | (14) ? [v0] : big_g(ex_16_0_5, v0)
% 7.46/2.77 |
% 7.46/2.77 | Instantiating (14) with all_17_0_6 yields:
% 7.46/2.77 | (15) big_g(ex_16_0_5, all_17_0_6)
% 7.46/2.77 |
% 7.46/2.77 | Introducing new symbol ex_37_0_11 defined by:
% 7.46/2.77 | (16) ex_37_0_11 = all_17_0_6
% 7.46/2.77 |
% 7.46/2.77 | Instantiating formula (12) with ex_37_0_11 yields:
% 7.46/2.77 | (17) big_h(ex_13_1_4, ex_37_0_11) | ( ~ big_g(ex_13_0_3, ex_37_0_11) & ~ big_f(ex_13_0_3, ex_37_0_11))
% 7.46/2.77 |
% 7.46/2.77 +-Applying beta-rule and splitting (17), into two cases.
% 7.46/2.77 |-Branch one:
% 7.46/2.77 | (18) big_h(ex_13_1_4, ex_37_0_11)
% 7.46/2.77 |
% 7.46/2.77 | Instantiating formula (5) with ex_37_0_11 yields:
% 7.46/2.77 | (19) ~ big_h(all_0_0_0, ex_37_0_11)
% 7.46/2.77 |
% 7.46/2.77 | From (9)(16) and (18) follows:
% 7.46/2.77 | (20) big_h(all_0_0_0, all_17_0_6)
% 7.46/2.77 |
% 7.46/2.77 | From (16) and (19) follows:
% 7.46/2.77 | (21) ~ big_h(all_0_0_0, all_17_0_6)
% 7.46/2.77 |
% 7.46/2.77 | Using (20) and (21) yields:
% 7.46/2.77 | (22) $false
% 7.46/2.77 |
% 7.46/2.77 |-The branch is then unsatisfiable
% 7.46/2.77 |-Branch two:
% 7.46/2.77 | (23) ~ big_g(ex_13_0_3, ex_37_0_11) & ~ big_f(ex_13_0_3, ex_37_0_11)
% 7.46/2.77 |
% 7.46/2.77 | Applying alpha-rule on (23) yields:
% 7.46/2.77 | (24) ~ big_g(ex_13_0_3, ex_37_0_11)
% 7.46/2.77 | (25) ~ big_f(ex_13_0_3, ex_37_0_11)
% 7.46/2.77 |
% 7.46/2.77 | From (13) and (15) follows:
% 7.46/2.77 | (26) big_g(all_5_0_2, all_17_0_6)
% 7.46/2.77 |
% 7.46/2.77 | From (10)(16) and (24) follows:
% 7.46/2.77 | (27) ~ big_g(all_5_0_2, all_17_0_6)
% 7.46/2.77 |
% 7.46/2.77 | Using (26) and (27) yields:
% 7.46/2.77 | (22) $false
% 7.46/2.77 |
% 7.46/2.77 |-The branch is then unsatisfiable
% 7.46/2.77 |-Branch two:
% 7.46/2.77 | (29) ~ big_g(ex_13_1_4, ex_13_0_3) & ~ big_f(ex_13_1_4, ex_13_0_3)
% 7.46/2.77 |
% 7.46/2.77 | Applying alpha-rule on (29) yields:
% 7.46/2.77 | (30) ~ big_g(ex_13_1_4, ex_13_0_3)
% 7.46/2.77 | (31) ~ big_f(ex_13_1_4, ex_13_0_3)
% 7.46/2.77 |
% 7.46/2.77 | From (6) and (8) follows:
% 7.46/2.77 | (32) big_f(all_0_0_0, all_5_0_2)
% 7.46/2.77 |
% 7.46/2.77 | From (9)(10) and (31) follows:
% 7.46/2.77 | (33) ~ big_f(all_0_0_0, all_5_0_2)
% 7.46/2.77 |
% 7.46/2.77 | Using (32) and (33) yields:
% 7.46/2.77 | (22) $false
% 7.46/2.77 |
% 7.46/2.77 |-The branch is then unsatisfiable
% 7.46/2.77 % SZS output end Proof for theBenchmark
% 7.46/2.78
% 7.46/2.78 2188ms
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