TSTP Solution File: SWV390+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV390+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n009.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 : 300s
% DateTime : Thu Aug 31 22:56:08 EDT 2023
% Result : Theorem 10.75s 2.28s
% Output : Proof 14.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV390+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n009.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 : 300
% 0.14/0.35 % DateTime : Tue Aug 29 04:10:05 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.68/0.64 ________ _____
% 0.68/0.64 ___ __ \_________(_)________________________________
% 0.68/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.68/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.68/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.68/0.64
% 0.68/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.68/0.64 (2023-06-19)
% 0.68/0.64
% 0.68/0.64 (c) Philipp Rümmer, 2009-2023
% 0.68/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.68/0.64 Amanda Stjerna.
% 0.68/0.64 Free software under BSD-3-Clause.
% 0.68/0.64
% 0.68/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.68/0.64
% 0.68/0.64 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.71/0.65 Running up to 7 provers in parallel.
% 0.71/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.71/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.71/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.71/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.71/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.71/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.71/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.43/1.20 Prover 1: Preprocessing ...
% 3.43/1.20 Prover 4: Preprocessing ...
% 3.72/1.26 Prover 3: Preprocessing ...
% 3.72/1.26 Prover 5: Preprocessing ...
% 3.72/1.26 Prover 0: Preprocessing ...
% 3.72/1.26 Prover 6: Preprocessing ...
% 3.72/1.26 Prover 2: Preprocessing ...
% 7.59/1.78 Prover 1: Warning: ignoring some quantifiers
% 8.02/1.87 Prover 3: Warning: ignoring some quantifiers
% 8.02/1.89 Prover 5: Proving ...
% 8.02/1.90 Prover 1: Constructing countermodel ...
% 8.50/1.90 Prover 6: Proving ...
% 8.50/1.92 Prover 3: Constructing countermodel ...
% 8.50/1.95 Prover 4: Constructing countermodel ...
% 8.50/1.96 Prover 0: Proving ...
% 9.03/1.98 Prover 2: Proving ...
% 10.75/2.27 Prover 0: proved (1609ms)
% 10.75/2.27
% 10.75/2.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.75/2.28
% 10.75/2.28 Prover 5: stopped
% 10.75/2.28 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.75/2.28 Prover 3: stopped
% 10.75/2.28 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 10.75/2.28 Prover 6: stopped
% 10.75/2.28 Prover 2: stopped
% 11.29/2.29 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 11.29/2.29 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 11.29/2.29 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 11.29/2.32 Prover 8: Preprocessing ...
% 11.29/2.32 Prover 7: Preprocessing ...
% 11.29/2.34 Prover 10: Preprocessing ...
% 11.29/2.35 Prover 11: Preprocessing ...
% 11.29/2.36 Prover 13: Preprocessing ...
% 12.32/2.47 Prover 7: Warning: ignoring some quantifiers
% 12.32/2.48 Prover 8: Warning: ignoring some quantifiers
% 12.32/2.49 Prover 7: Constructing countermodel ...
% 12.32/2.50 Prover 8: Constructing countermodel ...
% 12.99/2.53 Prover 10: Warning: ignoring some quantifiers
% 12.99/2.54 Prover 13: Warning: ignoring some quantifiers
% 12.99/2.56 Prover 10: Constructing countermodel ...
% 12.99/2.58 Prover 13: Constructing countermodel ...
% 13.52/2.61 Prover 7: Found proof (size 15)
% 13.52/2.61 Prover 7: proved (338ms)
% 13.52/2.61 Prover 4: stopped
% 13.52/2.61 Prover 1: stopped
% 13.52/2.61 Prover 10: stopped
% 13.52/2.61 Prover 8: stopped
% 13.52/2.61 Prover 13: stopped
% 13.52/2.66 Prover 11: Constructing countermodel ...
% 14.12/2.69 Prover 11: stopped
% 14.12/2.69
% 14.12/2.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.12/2.69
% 14.12/2.69 % SZS output start Proof for theBenchmark
% 14.12/2.70 Assumptions after simplification:
% 14.12/2.70 ---------------------------------
% 14.12/2.70
% 14.12/2.70 (ax23)
% 14.30/2.73 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 14.30/2.73 $i] : ! [v6: $i] : (v4 = v3 | ~ (pair(v1, v3) = v5) | ~ (insert_slb(v0,
% 14.30/2.73 v5) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 14.30/2.73 ~ pair_in_list(v6, v2, v4) | pair_in_list(v0, v2, v4)) & ! [v0: $i] : !
% 14.30/2.73 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 14.30/2.73 : (v2 = v1 | ~ (pair(v1, v3) = v5) | ~ (insert_slb(v0, v5) = v6) | ~ $i(v4)
% 14.30/2.73 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ pair_in_list(v6, v2,
% 14.30/2.73 v4) | pair_in_list(v0, v2, v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 14.30/2.73 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (pair(v1, v3) =
% 14.30/2.73 v5) | ~ (insert_slb(v0, v5) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 14.30/2.73 ~ $i(v1) | ~ $i(v0) | ~ pair_in_list(v0, v2, v4) | pair_in_list(v6, v2,
% 14.30/2.73 v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 14.30/2.73 : ( ~ (pair(v1, v2) = v3) | ~ (insert_slb(v0, v3) = v4) | ~ $i(v2) | ~
% 14.30/2.73 $i(v1) | ~ $i(v0) | pair_in_list(v4, v1, v2))
% 14.30/2.73
% 14.30/2.73 (ax42)
% 14.30/2.73 $i(bottom) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 14.30/2.73 $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (insert_pqp(v0, v3) =
% 14.30/2.73 v4) | ~ (triple(v4, v6, v2) = v7) | ~ (pair(v3, bottom) = v5) | ~
% 14.30/2.73 (insert_slb(v1, v5) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 14.30/2.73 ? [v8: $i] : (triple(v0, v1, v2) = v8 & insert_cpq(v8, v3) = v7 & $i(v8) &
% 14.30/2.73 $i(v7))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 14.30/2.73 $i] : ! [v5: $i] : ( ~ (triple(v0, v1, v2) = v4) | ~ (insert_cpq(v4, v3) =
% 14.30/2.73 v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : ?
% 14.30/2.73 [v7: $i] : ? [v8: $i] : (insert_pqp(v0, v3) = v6 & triple(v6, v8, v2) = v5
% 14.30/2.73 & pair(v3, bottom) = v7 & insert_slb(v1, v7) = v8 & $i(v8) & $i(v7) &
% 14.30/2.73 $i(v6) & $i(v5)))
% 14.30/2.73
% 14.30/2.73 (ax50)
% 14.30/2.73 $i(create_slb) & $i(bottom) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 14.30/2.73 (triple(v0, create_slb, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 14.30/2.73 findmin_cpq_res(v2) = bottom)
% 14.30/2.73
% 14.30/2.73 (l26_co)
% 14.30/2.74 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 14.30/2.74 $i] : (triple(v0, v1, v2) = v3 & insert_cpq(v3, v4) = v5 & $i(v5) & $i(v4) &
% 14.30/2.74 $i(v3) & $i(v2) & $i(v1) & $i(v0) & check_cpq(v5) & ~ check_cpq(v3))
% 14.30/2.74
% 14.30/2.74 (l26_li4142)
% 14.39/2.74 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 14.39/2.74 $i] : ( ~ (triple(v0, v1, v2) = v3) | ~ $i(v5) | ~ $i(v4) | ~ $i(v2) | ~
% 14.39/2.74 $i(v1) | ~ $i(v0) | ~ check_cpq(v3) | ~ pair_in_list(v1, v4, v5) |
% 14.39/2.74 less_than(v5, v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 14.39/2.74 ( ~ (triple(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 14.39/2.74 check_cpq(v3) | ? [v4: $i] : ? [v5: $i] : ($i(v5) & $i(v4) &
% 14.39/2.74 pair_in_list(v1, v4, v5) & ~ less_than(v5, v4)))
% 14.39/2.74
% 14.39/2.74 Further assumptions not needed in the proof:
% 14.39/2.74 --------------------------------------------
% 14.39/2.74 ax18, ax19, ax20, ax21, ax22, ax24, ax25, ax26, ax27, ax28, ax29, ax30, ax31,
% 14.39/2.74 ax32, ax33, ax34, ax35, ax36, ax37, ax38, ax39, ax40, ax41, ax43, ax44, ax45,
% 14.39/2.74 ax46, ax47, ax48, ax49, ax51, ax52, ax53, bottom_smallest, reflexivity,
% 14.39/2.74 stricly_smaller_definition, totality, transitivity
% 14.39/2.74
% 14.39/2.74 Those formulas are unsatisfiable:
% 14.39/2.74 ---------------------------------
% 14.39/2.74
% 14.39/2.74 Begin of proof
% 14.39/2.74 |
% 14.39/2.74 | ALPHA: (ax23) implies:
% 14.39/2.74 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 14.39/2.74 | ! [v5: $i] : ! [v6: $i] : ( ~ (pair(v1, v3) = v5) | ~ (insert_slb(v0,
% 14.39/2.74 | v5) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 14.39/2.74 | $i(v0) | ~ pair_in_list(v0, v2, v4) | pair_in_list(v6, v2, v4))
% 14.39/2.74 |
% 14.39/2.74 | ALPHA: (ax42) implies:
% 14.39/2.74 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 14.39/2.74 | ! [v5: $i] : ( ~ (triple(v0, v1, v2) = v4) | ~ (insert_cpq(v4, v3) =
% 14.39/2.74 | v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] :
% 14.39/2.74 | ? [v7: $i] : ? [v8: $i] : (insert_pqp(v0, v3) = v6 & triple(v6, v8,
% 14.39/2.74 | v2) = v5 & pair(v3, bottom) = v7 & insert_slb(v1, v7) = v8 &
% 14.39/2.74 | $i(v8) & $i(v7) & $i(v6) & $i(v5)))
% 14.39/2.74 |
% 14.39/2.74 | ALPHA: (ax50) implies:
% 14.39/2.74 | (3) $i(bottom)
% 14.39/2.74 |
% 14.39/2.74 | ALPHA: (l26_li4142) implies:
% 14.39/2.74 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (triple(v0,
% 14.39/2.74 | v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | check_cpq(v3)
% 14.39/2.74 | | ? [v4: $i] : ? [v5: $i] : ($i(v5) & $i(v4) & pair_in_list(v1, v4,
% 14.39/2.74 | v5) & ~ less_than(v5, v4)))
% 14.39/2.75 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 14.39/2.75 | ! [v5: $i] : ( ~ (triple(v0, v1, v2) = v3) | ~ $i(v5) | ~ $i(v4) | ~
% 14.39/2.75 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ check_cpq(v3) | ~
% 14.39/2.75 | pair_in_list(v1, v4, v5) | less_than(v5, v4))
% 14.39/2.75 |
% 14.39/2.75 | DELTA: instantiating (l26_co) with fresh symbols all_45_0, all_45_1, all_45_2,
% 14.39/2.75 | all_45_3, all_45_4, all_45_5 gives:
% 14.39/2.75 | (6) triple(all_45_5, all_45_4, all_45_3) = all_45_2 & insert_cpq(all_45_2,
% 14.39/2.75 | all_45_1) = all_45_0 & $i(all_45_0) & $i(all_45_1) & $i(all_45_2) &
% 14.39/2.75 | $i(all_45_3) & $i(all_45_4) & $i(all_45_5) & check_cpq(all_45_0) & ~
% 14.39/2.75 | check_cpq(all_45_2)
% 14.39/2.75 |
% 14.39/2.75 | ALPHA: (6) implies:
% 14.39/2.75 | (7) ~ check_cpq(all_45_2)
% 14.39/2.75 | (8) check_cpq(all_45_0)
% 14.39/2.75 | (9) $i(all_45_5)
% 14.39/2.75 | (10) $i(all_45_4)
% 14.39/2.75 | (11) $i(all_45_3)
% 14.39/2.75 | (12) $i(all_45_1)
% 14.39/2.75 | (13) insert_cpq(all_45_2, all_45_1) = all_45_0
% 14.39/2.75 | (14) triple(all_45_5, all_45_4, all_45_3) = all_45_2
% 14.39/2.75 |
% 14.39/2.75 | GROUND_INST: instantiating (2) with all_45_5, all_45_4, all_45_3, all_45_1,
% 14.39/2.75 | all_45_2, all_45_0, simplifying with (9), (10), (11), (12), (13),
% 14.39/2.75 | (14) gives:
% 14.39/2.75 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (insert_pqp(all_45_5,
% 14.39/2.75 | all_45_1) = v0 & triple(v0, v2, all_45_3) = all_45_0 &
% 14.39/2.75 | pair(all_45_1, bottom) = v1 & insert_slb(all_45_4, v1) = v2 & $i(v2)
% 14.39/2.75 | & $i(v1) & $i(v0) & $i(all_45_0))
% 14.39/2.75 |
% 14.39/2.75 | GROUND_INST: instantiating (4) with all_45_5, all_45_4, all_45_3, all_45_2,
% 14.39/2.75 | simplifying with (7), (9), (10), (11), (14) gives:
% 14.39/2.75 | (16) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & pair_in_list(all_45_4,
% 14.39/2.75 | v0, v1) & ~ less_than(v1, v0))
% 14.39/2.75 |
% 14.39/2.75 | DELTA: instantiating (16) with fresh symbols all_57_0, all_57_1 gives:
% 14.39/2.75 | (17) $i(all_57_0) & $i(all_57_1) & pair_in_list(all_45_4, all_57_1,
% 14.39/2.75 | all_57_0) & ~ less_than(all_57_0, all_57_1)
% 14.39/2.75 |
% 14.39/2.75 | ALPHA: (17) implies:
% 14.39/2.75 | (18) ~ less_than(all_57_0, all_57_1)
% 14.39/2.75 | (19) pair_in_list(all_45_4, all_57_1, all_57_0)
% 14.39/2.75 | (20) $i(all_57_1)
% 14.39/2.75 | (21) $i(all_57_0)
% 14.39/2.75 |
% 14.39/2.75 | DELTA: instantiating (15) with fresh symbols all_59_0, all_59_1, all_59_2
% 14.39/2.75 | gives:
% 14.39/2.75 | (22) insert_pqp(all_45_5, all_45_1) = all_59_2 & triple(all_59_2, all_59_0,
% 14.39/2.75 | all_45_3) = all_45_0 & pair(all_45_1, bottom) = all_59_1 &
% 14.39/2.75 | insert_slb(all_45_4, all_59_1) = all_59_0 & $i(all_59_0) &
% 14.39/2.75 | $i(all_59_1) & $i(all_59_2) & $i(all_45_0)
% 14.39/2.75 |
% 14.39/2.75 | ALPHA: (22) implies:
% 14.39/2.75 | (23) $i(all_59_2)
% 14.39/2.75 | (24) $i(all_59_0)
% 14.39/2.75 | (25) insert_slb(all_45_4, all_59_1) = all_59_0
% 14.39/2.75 | (26) pair(all_45_1, bottom) = all_59_1
% 14.39/2.75 | (27) triple(all_59_2, all_59_0, all_45_3) = all_45_0
% 14.39/2.75 |
% 14.39/2.75 | GROUND_INST: instantiating (1) with all_45_4, all_45_1, all_57_1, bottom,
% 14.39/2.75 | all_57_0, all_59_1, all_59_0, simplifying with (3), (10), (12),
% 14.39/2.76 | (19), (20), (21), (25), (26) gives:
% 14.39/2.76 | (28) pair_in_list(all_59_0, all_57_1, all_57_0)
% 14.39/2.76 |
% 14.39/2.76 | GROUND_INST: instantiating (5) with all_59_2, all_59_0, all_45_3, all_45_0,
% 14.39/2.76 | all_57_1, all_57_0, simplifying with (8), (11), (18), (20), (21),
% 14.39/2.76 | (23), (24), (27), (28) gives:
% 14.39/2.76 | (29) $false
% 14.39/2.76 |
% 14.39/2.76 | CLOSE: (29) is inconsistent.
% 14.39/2.76 |
% 14.39/2.76 End of proof
% 14.39/2.76 % SZS output end Proof for theBenchmark
% 14.39/2.76
% 14.39/2.76 2118ms
%------------------------------------------------------------------------------