TSTP Solution File: SET643+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SET643+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n014.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 15:25:49 EDT 2023
% Result : Theorem 42.75s 6.63s
% Output : Proof 44.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET643+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n014.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 : Sat Aug 26 10:32:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.63 ________ _____
% 0.21/0.63 ___ __ \_________(_)________________________________
% 0.21/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.63
% 0.21/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.63 (2023-06-19)
% 0.21/0.63
% 0.21/0.63 (c) Philipp Rümmer, 2009-2023
% 0.21/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.63 Amanda Stjerna.
% 0.21/0.63 Free software under BSD-3-Clause.
% 0.21/0.63
% 0.21/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.63
% 0.21/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.64 Running up to 7 provers in parallel.
% 0.21/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.83/1.15 Prover 1: Preprocessing ...
% 2.83/1.15 Prover 4: Preprocessing ...
% 2.83/1.19 Prover 0: Preprocessing ...
% 2.83/1.19 Prover 5: Preprocessing ...
% 2.83/1.19 Prover 2: Preprocessing ...
% 2.83/1.19 Prover 6: Preprocessing ...
% 2.83/1.19 Prover 3: Preprocessing ...
% 6.86/1.76 Prover 2: Proving ...
% 7.30/1.79 Prover 5: Proving ...
% 7.30/1.79 Prover 3: Constructing countermodel ...
% 7.30/1.80 Prover 1: Constructing countermodel ...
% 7.91/1.90 Prover 6: Proving ...
% 10.78/2.30 Prover 4: Constructing countermodel ...
% 11.83/2.43 Prover 0: Proving ...
% 42.75/6.62 Prover 2: proved (5963ms)
% 42.75/6.63
% 42.75/6.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.75/6.63
% 42.75/6.63 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 42.75/6.63 Prover 6: stopped
% 42.75/6.63 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 42.75/6.63 Prover 0: stopped
% 43.49/6.64 Prover 3: stopped
% 43.49/6.65 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 43.49/6.65 Prover 5: stopped
% 43.49/6.65 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 43.49/6.65 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 43.49/6.69 Prover 8: Preprocessing ...
% 43.90/6.69 Prover 10: Preprocessing ...
% 43.90/6.70 Prover 7: Preprocessing ...
% 43.90/6.72 Prover 13: Preprocessing ...
% 43.90/6.73 Prover 11: Preprocessing ...
% 43.90/6.74 Prover 10: Warning: ignoring some quantifiers
% 43.90/6.74 Prover 10: Constructing countermodel ...
% 44.41/6.76 Prover 7: Warning: ignoring some quantifiers
% 44.41/6.77 Prover 7: Constructing countermodel ...
% 44.41/6.79 Prover 8: Warning: ignoring some quantifiers
% 44.41/6.79 Prover 8: Constructing countermodel ...
% 44.75/6.81 Prover 10: Found proof (size 23)
% 44.75/6.81 Prover 10: proved (166ms)
% 44.75/6.81 Prover 7: stopped
% 44.75/6.81 Prover 8: stopped
% 44.75/6.81 Prover 4: stopped
% 44.75/6.82 Prover 1: stopped
% 44.75/6.82 Prover 11: stopped
% 44.75/6.83 Prover 13: Warning: ignoring some quantifiers
% 44.75/6.84 Prover 13: Constructing countermodel ...
% 44.75/6.84 Prover 13: stopped
% 44.75/6.84
% 44.75/6.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.75/6.84
% 44.75/6.85 % SZS output start Proof for theBenchmark
% 44.75/6.85 Assumptions after simplification:
% 44.75/6.85 ---------------------------------
% 44.75/6.85
% 44.75/6.85 (p1)
% 44.75/6.88 $i(set_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 44.75/6.88 (relation_type(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 44.75/6.88 ilf_type(v2, set_type) | ~ ilf_type(v1, set_type) | ~ ilf_type(v0,
% 44.75/6.88 set_type) | ilf_type(v0, v3) | ? [v4: $i] : (cross_product(v1, v2) = v4 &
% 44.75/6.88 $i(v4) & ~ subset(v0, v4)))
% 44.75/6.88
% 44.75/6.88 (p3)
% 44.75/6.88 $i(set_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 44.75/6.88 (cross_product(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ ilf_type(v1,
% 44.75/6.88 set_type) | ~ ilf_type(v0, set_type) | ilf_type(v2, set_type))
% 44.75/6.88
% 44.75/6.88 (p4)
% 44.75/6.88 $i(set_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 44.75/6.88 (relation_type(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ ilf_type(v1,
% 44.75/6.88 set_type) | ~ ilf_type(v0, set_type) | ? [v3: $i] : ? [v4: $i] :
% 44.75/6.88 (subset_type(v3) = v4 & cross_product(v0, v1) = v3 & $i(v4) & $i(v3) & !
% 44.75/6.88 [v5: $i] : ( ~ $i(v5) | ~ ilf_type(v5, v4) | ilf_type(v5, v2)) & ! [v5:
% 44.75/6.88 $i] : ( ~ $i(v5) | ~ ilf_type(v5, v2) | ilf_type(v5, v4))))
% 44.75/6.88
% 44.75/6.88 (p9)
% 44.75/6.88 $i(set_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~
% 44.75/6.88 $i(v1) | ~ $i(v0) | ~ member(v2, v0) | ~ subset(v0, v1) | ~ ilf_type(v2,
% 44.75/6.88 set_type) | ~ ilf_type(v1, set_type) | ~ ilf_type(v0, set_type) |
% 44.75/6.88 member(v2, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 44.75/6.88 ilf_type(v1, set_type) | ~ ilf_type(v0, set_type) | subset(v0, v1) | ?
% 44.75/6.88 [v2: $i] : ($i(v2) & member(v2, v0) & ilf_type(v2, set_type) & ~ member(v2,
% 44.75/6.88 v1)))
% 44.75/6.88
% 44.75/6.88 (prove_relset_1_5)
% 44.75/6.88 $i(set_type) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 44.75/6.88 (relation_type(v0, v1) = v3 & cross_product(v0, v1) = v2 & $i(v3) & $i(v2) &
% 44.75/6.88 $i(v1) & $i(v0) & ilf_type(v1, set_type) & ilf_type(v0, set_type) & ~
% 44.75/6.88 ilf_type(v2, v3))
% 44.75/6.88
% 44.75/6.88 (function-axioms)
% 44.75/6.89 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 44.75/6.89 (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0)) & ! [v0: $i]
% 44.75/6.89 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (relation_type(v3,
% 44.75/6.89 v2) = v1) | ~ (relation_type(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 44.75/6.89 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (cross_product(v3, v2) = v1) | ~
% 44.75/6.89 (cross_product(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 44.75/6.89 (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0)) & ! [v0: $i] :
% 44.75/6.89 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (member_type(v2) = v1) | ~
% 44.75/6.89 (member_type(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 44.75/6.89 | ~ (subset_type(v2) = v1) | ~ (subset_type(v2) = v0))
% 44.75/6.89
% 44.75/6.89 Further assumptions not needed in the proof:
% 44.75/6.89 --------------------------------------------
% 44.75/6.89 p10, p11, p12, p13, p14, p15, p16, p17, p18, p19, p2, p5, p6, p7, p8
% 44.75/6.89
% 44.75/6.89 Those formulas are unsatisfiable:
% 44.75/6.89 ---------------------------------
% 44.75/6.89
% 44.75/6.89 Begin of proof
% 44.75/6.89 |
% 44.75/6.89 | ALPHA: (p1) implies:
% 44.75/6.89 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 44.75/6.89 | (relation_type(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 44.75/6.89 | ilf_type(v2, set_type) | ~ ilf_type(v1, set_type) | ~ ilf_type(v0,
% 44.75/6.89 | set_type) | ilf_type(v0, v3) | ? [v4: $i] : (cross_product(v1, v2)
% 44.75/6.89 | = v4 & $i(v4) & ~ subset(v0, v4)))
% 44.75/6.89 |
% 44.75/6.89 | ALPHA: (p3) implies:
% 44.75/6.89 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (cross_product(v0, v1) =
% 44.75/6.89 | v2) | ~ $i(v1) | ~ $i(v0) | ~ ilf_type(v1, set_type) | ~
% 44.75/6.89 | ilf_type(v0, set_type) | ilf_type(v2, set_type))
% 44.75/6.89 |
% 44.75/6.89 | ALPHA: (p4) implies:
% 44.75/6.89 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_type(v0, v1) =
% 44.75/6.89 | v2) | ~ $i(v1) | ~ $i(v0) | ~ ilf_type(v1, set_type) | ~
% 44.75/6.89 | ilf_type(v0, set_type) | ? [v3: $i] : ? [v4: $i] : (subset_type(v3)
% 44.75/6.89 | = v4 & cross_product(v0, v1) = v3 & $i(v4) & $i(v3) & ! [v5: $i] :
% 44.75/6.89 | ( ~ $i(v5) | ~ ilf_type(v5, v4) | ilf_type(v5, v2)) & ! [v5: $i]
% 44.75/6.89 | : ( ~ $i(v5) | ~ ilf_type(v5, v2) | ilf_type(v5, v4))))
% 44.75/6.89 |
% 44.75/6.89 | ALPHA: (p9) implies:
% 44.75/6.89 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ ilf_type(v1,
% 44.75/6.89 | set_type) | ~ ilf_type(v0, set_type) | subset(v0, v1) | ? [v2:
% 44.75/6.89 | $i] : ($i(v2) & member(v2, v0) & ilf_type(v2, set_type) & ~
% 44.75/6.89 | member(v2, v1)))
% 44.75/6.89 |
% 44.75/6.89 | ALPHA: (prove_relset_1_5) implies:
% 44.75/6.89 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 44.75/6.89 | (relation_type(v0, v1) = v3 & cross_product(v0, v1) = v2 & $i(v3) &
% 44.75/6.89 | $i(v2) & $i(v1) & $i(v0) & ilf_type(v1, set_type) & ilf_type(v0,
% 44.75/6.89 | set_type) & ~ ilf_type(v2, v3))
% 44.75/6.89 |
% 44.75/6.89 | ALPHA: (function-axioms) implies:
% 44.75/6.89 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 44.75/6.89 | (cross_product(v3, v2) = v1) | ~ (cross_product(v3, v2) = v0))
% 44.75/6.89 |
% 44.75/6.89 | DELTA: instantiating (5) with fresh symbols all_23_0, all_23_1, all_23_2,
% 44.75/6.89 | all_23_3 gives:
% 44.75/6.89 | (7) relation_type(all_23_3, all_23_2) = all_23_0 & cross_product(all_23_3,
% 44.75/6.89 | all_23_2) = all_23_1 & $i(all_23_0) & $i(all_23_1) & $i(all_23_2) &
% 44.75/6.89 | $i(all_23_3) & ilf_type(all_23_2, set_type) & ilf_type(all_23_3,
% 44.75/6.89 | set_type) & ~ ilf_type(all_23_1, all_23_0)
% 44.75/6.89 |
% 44.75/6.89 | ALPHA: (7) implies:
% 44.75/6.90 | (8) ~ ilf_type(all_23_1, all_23_0)
% 44.75/6.90 | (9) ilf_type(all_23_3, set_type)
% 44.75/6.90 | (10) ilf_type(all_23_2, set_type)
% 44.75/6.90 | (11) $i(all_23_3)
% 44.75/6.90 | (12) $i(all_23_2)
% 44.75/6.90 | (13) cross_product(all_23_3, all_23_2) = all_23_1
% 44.75/6.90 | (14) relation_type(all_23_3, all_23_2) = all_23_0
% 44.75/6.90 |
% 44.75/6.90 | GROUND_INST: instantiating (2) with all_23_3, all_23_2, all_23_1, simplifying
% 44.75/6.90 | with (9), (10), (11), (12), (13) gives:
% 44.75/6.90 | (15) ilf_type(all_23_1, set_type)
% 44.75/6.90 |
% 44.75/6.90 | GROUND_INST: instantiating (3) with all_23_3, all_23_2, all_23_0, simplifying
% 44.75/6.90 | with (9), (10), (11), (12), (14) gives:
% 44.75/6.90 | (16) ? [v0: $i] : ? [v1: $i] : (subset_type(v0) = v1 &
% 44.75/6.90 | cross_product(all_23_3, all_23_2) = v0 & $i(v1) & $i(v0) & ! [v2:
% 44.75/6.90 | $i] : ( ~ $i(v2) | ~ ilf_type(v2, v1) | ilf_type(v2, all_23_0)) &
% 44.75/6.90 | ! [v2: $i] : ( ~ $i(v2) | ~ ilf_type(v2, all_23_0) | ilf_type(v2,
% 44.75/6.90 | v1)))
% 44.75/6.90 |
% 44.75/6.90 | DELTA: instantiating (16) with fresh symbols all_36_0, all_36_1 gives:
% 44.75/6.90 | (17) subset_type(all_36_1) = all_36_0 & cross_product(all_23_3, all_23_2) =
% 44.75/6.90 | all_36_1 & $i(all_36_0) & $i(all_36_1) & ! [v0: $i] : ( ~ $i(v0) | ~
% 44.75/6.90 | ilf_type(v0, all_36_0) | ilf_type(v0, all_23_0)) & ! [v0: $i] : ( ~
% 44.75/6.90 | $i(v0) | ~ ilf_type(v0, all_23_0) | ilf_type(v0, all_36_0))
% 44.75/6.90 |
% 44.75/6.90 | ALPHA: (17) implies:
% 44.75/6.90 | (18) $i(all_36_1)
% 44.75/6.90 | (19) cross_product(all_23_3, all_23_2) = all_36_1
% 44.75/6.90 |
% 44.75/6.90 | GROUND_INST: instantiating (6) with all_23_1, all_36_1, all_23_2, all_23_3,
% 44.75/6.90 | simplifying with (13), (19) gives:
% 44.75/6.90 | (20) all_36_1 = all_23_1
% 44.75/6.90 |
% 44.75/6.90 | REDUCE: (18), (20) imply:
% 44.75/6.90 | (21) $i(all_23_1)
% 44.75/6.90 |
% 44.75/6.90 | GROUND_INST: instantiating (1) with all_23_1, all_23_3, all_23_2, all_23_0,
% 44.75/6.90 | simplifying with (8), (9), (10), (11), (12), (14), (15), (21)
% 44.75/6.90 | gives:
% 44.75/6.90 | (22) ? [v0: $i] : (cross_product(all_23_3, all_23_2) = v0 & $i(v0) & ~
% 44.75/6.90 | subset(all_23_1, v0))
% 44.75/6.90 |
% 44.75/6.90 | GROUND_INST: instantiating (4) with all_23_1, all_23_1, simplifying with (15),
% 44.75/6.90 | (21) gives:
% 44.75/6.90 | (23) subset(all_23_1, all_23_1)
% 44.75/6.90 |
% 44.75/6.90 | DELTA: instantiating (22) with fresh symbol all_55_0 gives:
% 44.75/6.90 | (24) cross_product(all_23_3, all_23_2) = all_55_0 & $i(all_55_0) & ~
% 44.75/6.90 | subset(all_23_1, all_55_0)
% 44.75/6.90 |
% 44.75/6.90 | ALPHA: (24) implies:
% 44.75/6.90 | (25) ~ subset(all_23_1, all_55_0)
% 44.75/6.90 | (26) cross_product(all_23_3, all_23_2) = all_55_0
% 44.75/6.90 |
% 44.75/6.90 | GROUND_INST: instantiating (6) with all_23_1, all_55_0, all_23_2, all_23_3,
% 44.75/6.90 | simplifying with (13), (26) gives:
% 44.75/6.90 | (27) all_55_0 = all_23_1
% 44.75/6.90 |
% 44.75/6.90 | REDUCE: (25), (27) imply:
% 44.75/6.90 | (28) ~ subset(all_23_1, all_23_1)
% 44.75/6.90 |
% 44.75/6.90 | PRED_UNIFY: (23), (28) imply:
% 44.75/6.90 | (29) $false
% 44.75/6.90 |
% 44.75/6.90 | CLOSE: (29) is inconsistent.
% 44.75/6.90 |
% 44.75/6.90 End of proof
% 44.75/6.91 % SZS output end Proof for theBenchmark
% 44.75/6.91
% 44.75/6.91 6272ms
%------------------------------------------------------------------------------