TSTP Solution File: SYN722+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SYN722+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n032.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 : Fri Sep 1 03:28:41 EDT 2023
% Result : Theorem 3.50s 1.08s
% Output : Proof 4.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN722+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Aug 26 17:33:59 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.50 ________ _____
% 0.15/0.50 ___ __ \_________(_)________________________________
% 0.15/0.50 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.15/0.50 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.15/0.50 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.15/0.50
% 0.15/0.50 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.15/0.50 (2023-06-19)
% 0.15/0.50
% 0.15/0.50 (c) Philipp Rümmer, 2009-2023
% 0.15/0.50 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.15/0.50 Amanda Stjerna.
% 0.15/0.50 Free software under BSD-3-Clause.
% 0.15/0.50
% 0.15/0.50 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.15/0.50
% 0.15/0.50 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.15/0.51 Running up to 7 provers in parallel.
% 0.15/0.52 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.15/0.52 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.15/0.52 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.15/0.52 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.15/0.52 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.15/0.52 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.15/0.52 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.99/0.80 Prover 4: Preprocessing ...
% 0.99/0.80 Prover 1: Preprocessing ...
% 0.99/0.84 Prover 2: Preprocessing ...
% 0.99/0.84 Prover 6: Preprocessing ...
% 0.99/0.84 Prover 3: Preprocessing ...
% 0.99/0.84 Prover 0: Preprocessing ...
% 0.99/0.84 Prover 5: Preprocessing ...
% 1.91/0.91 Prover 5: Proving ...
% 1.91/0.91 Prover 2: Proving ...
% 2.37/0.93 Prover 1: Constructing countermodel ...
% 2.37/0.94 Prover 4: Constructing countermodel ...
% 2.37/0.94 Prover 0: Proving ...
% 2.37/0.94 Prover 6: Proving ...
% 2.37/0.94 Prover 3: Constructing countermodel ...
% 3.50/1.08 Prover 3: proved (555ms)
% 3.50/1.08
% 3.50/1.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.50/1.08
% 3.50/1.08 Prover 2: stopped
% 3.50/1.08 Prover 5: stopped
% 3.50/1.09 Prover 0: stopped
% 3.50/1.09 Prover 6: stopped
% 3.50/1.09 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 3.50/1.09 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 3.50/1.09 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 3.50/1.09 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 3.50/1.10 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 3.50/1.10 Prover 7: Preprocessing ...
% 3.50/1.10 Prover 13: Preprocessing ...
% 3.50/1.11 Prover 11: Preprocessing ...
% 3.50/1.11 Prover 7: Warning: ignoring some quantifiers
% 3.50/1.11 Prover 7: Constructing countermodel ...
% 3.50/1.11 Prover 13: Warning: ignoring some quantifiers
% 3.50/1.11 Prover 13: Constructing countermodel ...
% 3.50/1.12 Prover 10: Preprocessing ...
% 3.50/1.12 Prover 8: Preprocessing ...
% 3.89/1.13 Prover 10: Warning: ignoring some quantifiers
% 3.89/1.13 Prover 10: Constructing countermodel ...
% 3.89/1.14 Prover 13: gave up
% 3.89/1.14 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 3.89/1.15 Prover 1: Found proof (size 48)
% 3.89/1.15 Prover 1: proved (628ms)
% 3.89/1.15 Prover 7: stopped
% 3.89/1.15 Prover 4: stopped
% 3.89/1.15 Prover 10: stopped
% 4.05/1.15 Prover 11: Constructing countermodel ...
% 4.05/1.15 Prover 8: Warning: ignoring some quantifiers
% 4.05/1.15 Prover 16: Preprocessing ...
% 4.05/1.15 Prover 11: stopped
% 4.05/1.15 Prover 8: Constructing countermodel ...
% 4.05/1.16 Prover 8: stopped
% 4.05/1.16 Prover 16: Warning: ignoring some quantifiers
% 4.05/1.16 Prover 16: Constructing countermodel ...
% 4.05/1.16 Prover 16: stopped
% 4.05/1.17
% 4.05/1.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.05/1.17
% 4.05/1.18 % SZS output start Proof for theBenchmark
% 4.05/1.18 Assumptions after simplification:
% 4.05/1.18 ---------------------------------
% 4.05/1.18
% 4.05/1.18 (thm119)
% 4.05/1.22 $i(b) & $i(a) & $i(d) & $i(c) & ? [v0: any] : ? [v1: any] : ? [v2: any] :
% 4.05/1.22 ? [v3: any] : (q(d) = v1 & q(c) = v0 & p(b) = v3 & p(a) = v2 & ! [v4: $i] :
% 4.05/1.22 ! [v5: int] : (v5 = 0 | ~ (q(v4) = v5) | ~ $i(v4)) & ! [v4: $i] : ! [v5:
% 4.05/1.22 int] : (v5 = 0 | ~ (r(v4) = v5) | ~ $i(v4) | p(v4) = 0) & ! [v4: $i] :
% 4.05/1.22 ! [v5: any] : ( ~ (p(v4) = v5) | ~ $i(v4) | ? [v6: any] : (q(v4) = v6 & ?
% 4.05/1.22 [v7: $i] : ? [v8: any] : (q(v7) = v8 & $i(v7) & ( ~ (v8 = 0) | ~ (v6 =
% 4.05/1.22 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)))) & ( ~ (v3 = 0) | ~
% 4.05/1.22 (v2 = 0)))
% 4.05/1.22
% 4.05/1.22 Those formulas are unsatisfiable:
% 4.05/1.22 ---------------------------------
% 4.05/1.22
% 4.05/1.22 Begin of proof
% 4.05/1.22 |
% 4.36/1.22 | ALPHA: (thm119) implies:
% 4.36/1.22 | (1) $i(c)
% 4.36/1.22 | (2) $i(d)
% 4.36/1.22 | (3) $i(a)
% 4.36/1.22 | (4) $i(b)
% 4.36/1.22 | (5) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : (q(d) = v1
% 4.36/1.23 | & q(c) = v0 & p(b) = v3 & p(a) = v2 & ! [v4: $i] : ! [v5: int] :
% 4.36/1.23 | (v5 = 0 | ~ (q(v4) = v5) | ~ $i(v4)) & ! [v4: $i] : ! [v5: int] :
% 4.36/1.23 | (v5 = 0 | ~ (r(v4) = v5) | ~ $i(v4) | p(v4) = 0) & ! [v4: $i] : !
% 4.36/1.23 | [v5: any] : ( ~ (p(v4) = v5) | ~ $i(v4) | ? [v6: any] : (q(v4) = v6
% 4.36/1.23 | & ? [v7: $i] : ? [v8: any] : (q(v7) = v8 & $i(v7) & ( ~ (v8 =
% 4.36/1.23 | 0) | ~ (v6 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)))) &
% 4.36/1.23 | ( ~ (v3 = 0) | ~ (v2 = 0)))
% 4.36/1.23 |
% 4.36/1.23 | DELTA: instantiating (5) with fresh symbols all_4_0, all_4_1, all_4_2, all_4_3
% 4.36/1.23 | gives:
% 4.36/1.23 | (6) q(d) = all_4_2 & q(c) = all_4_3 & p(b) = all_4_0 & p(a) = all_4_1 & !
% 4.36/1.23 | [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (q(v0) = v1) | ~ $i(v0)) & !
% 4.36/1.23 | [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (r(v0) = v1) | ~ $i(v0) | p(v0)
% 4.36/1.23 | = 0) & ! [v0: $i] : ! [v1: any] : ( ~ (p(v0) = v1) | ~ $i(v0) | ?
% 4.36/1.23 | [v2: any] : (q(v0) = v2 & ? [v3: $i] : ? [v4: any] : (q(v3) = v4 &
% 4.36/1.23 | $i(v3) & ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (all_4_2 = 0) | ~
% 4.36/1.23 | (all_4_3 = 0) | v1 = 0)))) & ( ~ (all_4_0 = 0) | ~ (all_4_1 =
% 4.36/1.23 | 0))
% 4.36/1.23 |
% 4.36/1.23 | ALPHA: (6) implies:
% 4.36/1.23 | (7) p(a) = all_4_1
% 4.36/1.23 | (8) p(b) = all_4_0
% 4.36/1.23 | (9) q(c) = all_4_3
% 4.36/1.23 | (10) q(d) = all_4_2
% 4.36/1.23 | (11) ~ (all_4_0 = 0) | ~ (all_4_1 = 0)
% 4.36/1.23 | (12) ! [v0: $i] : ! [v1: any] : ( ~ (p(v0) = v1) | ~ $i(v0) | ? [v2:
% 4.36/1.23 | any] : (q(v0) = v2 & ? [v3: $i] : ? [v4: any] : (q(v3) = v4 &
% 4.36/1.24 | $i(v3) & ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (all_4_2 = 0) | ~
% 4.36/1.24 | (all_4_3 = 0) | v1 = 0))))
% 4.36/1.24 | (13) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (q(v0) = v1) | ~ $i(v0))
% 4.36/1.24 |
% 4.36/1.24 | GROUND_INST: instantiating (12) with a, all_4_1, simplifying with (3), (7)
% 4.36/1.24 | gives:
% 4.36/1.24 | (14) ? [v0: any] : (q(a) = v0 & ? [v1: $i] : ? [v2: any] : (q(v1) = v2 &
% 4.36/1.24 | $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | ~ (all_4_2 = 0) | ~
% 4.36/1.24 | (all_4_3 = 0) | all_4_1 = 0)))
% 4.36/1.24 |
% 4.36/1.24 | GROUND_INST: instantiating (12) with b, all_4_0, simplifying with (4), (8)
% 4.36/1.24 | gives:
% 4.36/1.24 | (15) ? [v0: any] : (q(b) = v0 & ? [v1: $i] : ? [v2: any] : (q(v1) = v2 &
% 4.36/1.24 | $i(v1) & ( ~ (v2 = 0) | ~ (v0 = 0) | ~ (all_4_2 = 0) | ~
% 4.36/1.24 | (all_4_3 = 0) | all_4_0 = 0)))
% 4.36/1.24 |
% 4.36/1.24 | GROUND_INST: instantiating (13) with c, all_4_3, simplifying with (1), (9)
% 4.36/1.24 | gives:
% 4.36/1.24 | (16) all_4_3 = 0
% 4.36/1.24 |
% 4.36/1.24 | GROUND_INST: instantiating (13) with d, all_4_2, simplifying with (2), (10)
% 4.36/1.24 | gives:
% 4.36/1.24 | (17) all_4_2 = 0
% 4.36/1.24 |
% 4.36/1.24 | DELTA: instantiating (14) with fresh symbol all_13_0 gives:
% 4.36/1.24 | (18) q(a) = all_13_0 & ? [v0: $i] : ? [v1: any] : (q(v0) = v1 & $i(v0) &
% 4.36/1.24 | ( ~ (v1 = 0) | ~ (all_13_0 = 0) | ~ (all_4_2 = 0) | ~ (all_4_3 =
% 4.36/1.24 | 0) | all_4_1 = 0))
% 4.36/1.24 |
% 4.36/1.24 | ALPHA: (18) implies:
% 4.36/1.24 | (19) q(a) = all_13_0
% 4.36/1.24 | (20) ? [v0: $i] : ? [v1: any] : (q(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | ~
% 4.36/1.24 | (all_13_0 = 0) | ~ (all_4_2 = 0) | ~ (all_4_3 = 0) | all_4_1 =
% 4.36/1.24 | 0))
% 4.36/1.24 |
% 4.36/1.24 | DELTA: instantiating (15) with fresh symbol all_15_0 gives:
% 4.36/1.24 | (21) q(b) = all_15_0 & ? [v0: $i] : ? [v1: any] : (q(v0) = v1 & $i(v0) &
% 4.36/1.24 | ( ~ (v1 = 0) | ~ (all_15_0 = 0) | ~ (all_4_2 = 0) | ~ (all_4_3 =
% 4.36/1.24 | 0) | all_4_0 = 0))
% 4.36/1.25 |
% 4.36/1.25 | ALPHA: (21) implies:
% 4.36/1.25 | (22) q(b) = all_15_0
% 4.36/1.25 | (23) ? [v0: $i] : ? [v1: any] : (q(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | ~
% 4.36/1.25 | (all_15_0 = 0) | ~ (all_4_2 = 0) | ~ (all_4_3 = 0) | all_4_0 =
% 4.36/1.25 | 0))
% 4.36/1.25 |
% 4.36/1.25 | DELTA: instantiating (20) with fresh symbols all_17_0, all_17_1 gives:
% 4.36/1.25 | (24) q(all_17_1) = all_17_0 & $i(all_17_1) & ( ~ (all_17_0 = 0) | ~
% 4.36/1.25 | (all_13_0 = 0) | ~ (all_4_2 = 0) | ~ (all_4_3 = 0) | all_4_1 = 0)
% 4.36/1.25 |
% 4.36/1.25 | ALPHA: (24) implies:
% 4.36/1.25 | (25) $i(all_17_1)
% 4.36/1.25 | (26) q(all_17_1) = all_17_0
% 4.36/1.25 | (27) ~ (all_17_0 = 0) | ~ (all_13_0 = 0) | ~ (all_4_2 = 0) | ~ (all_4_3
% 4.36/1.25 | = 0) | all_4_1 = 0
% 4.36/1.25 |
% 4.36/1.25 | DELTA: instantiating (23) with fresh symbols all_19_0, all_19_1 gives:
% 4.36/1.25 | (28) q(all_19_1) = all_19_0 & $i(all_19_1) & ( ~ (all_19_0 = 0) | ~
% 4.36/1.25 | (all_15_0 = 0) | ~ (all_4_2 = 0) | ~ (all_4_3 = 0) | all_4_0 = 0)
% 4.36/1.25 |
% 4.36/1.25 | ALPHA: (28) implies:
% 4.36/1.25 | (29) $i(all_19_1)
% 4.36/1.25 | (30) q(all_19_1) = all_19_0
% 4.36/1.25 | (31) ~ (all_19_0 = 0) | ~ (all_15_0 = 0) | ~ (all_4_2 = 0) | ~ (all_4_3
% 4.36/1.25 | = 0) | all_4_0 = 0
% 4.36/1.25 |
% 4.36/1.25 | GROUND_INST: instantiating (13) with a, all_13_0, simplifying with (3), (19)
% 4.36/1.25 | gives:
% 4.36/1.25 | (32) all_13_0 = 0
% 4.36/1.25 |
% 4.36/1.25 | GROUND_INST: instantiating (13) with b, all_15_0, simplifying with (4), (22)
% 4.36/1.25 | gives:
% 4.36/1.25 | (33) all_15_0 = 0
% 4.36/1.25 |
% 4.36/1.25 | GROUND_INST: instantiating (13) with all_17_1, all_17_0, simplifying with
% 4.36/1.25 | (25), (26) gives:
% 4.36/1.25 | (34) all_17_0 = 0
% 4.36/1.25 |
% 4.36/1.25 | GROUND_INST: instantiating (13) with all_19_1, all_19_0, simplifying with
% 4.36/1.25 | (29), (30) gives:
% 4.36/1.25 | (35) all_19_0 = 0
% 4.36/1.25 |
% 4.36/1.25 | BETA: splitting (27) gives:
% 4.36/1.25 |
% 4.36/1.25 | Case 1:
% 4.36/1.25 | |
% 4.36/1.25 | | (36) ~ (all_17_0 = 0)
% 4.36/1.25 | |
% 4.36/1.25 | | REDUCE: (34), (36) imply:
% 4.36/1.25 | | (37) $false
% 4.36/1.25 | |
% 4.36/1.25 | | CLOSE: (37) is inconsistent.
% 4.36/1.25 | |
% 4.36/1.25 | Case 2:
% 4.36/1.25 | |
% 4.36/1.25 | | (38) ~ (all_13_0 = 0) | ~ (all_4_2 = 0) | ~ (all_4_3 = 0) | all_4_1 =
% 4.36/1.25 | | 0
% 4.36/1.25 | |
% 4.36/1.25 | | BETA: splitting (31) gives:
% 4.36/1.25 | |
% 4.36/1.25 | | Case 1:
% 4.36/1.25 | | |
% 4.36/1.25 | | | (39) ~ (all_19_0 = 0)
% 4.36/1.25 | | |
% 4.36/1.25 | | | REDUCE: (35), (39) imply:
% 4.36/1.25 | | | (40) $false
% 4.36/1.25 | | |
% 4.36/1.25 | | | CLOSE: (40) is inconsistent.
% 4.36/1.25 | | |
% 4.36/1.25 | | Case 2:
% 4.36/1.25 | | |
% 4.36/1.26 | | | (41) ~ (all_15_0 = 0) | ~ (all_4_2 = 0) | ~ (all_4_3 = 0) | all_4_0
% 4.36/1.26 | | | = 0
% 4.36/1.26 | | |
% 4.36/1.26 | | | BETA: splitting (38) gives:
% 4.36/1.26 | | |
% 4.36/1.26 | | | Case 1:
% 4.36/1.26 | | | |
% 4.36/1.26 | | | | (42) ~ (all_13_0 = 0)
% 4.36/1.26 | | | |
% 4.36/1.26 | | | | REDUCE: (32), (42) imply:
% 4.36/1.26 | | | | (43) $false
% 4.36/1.26 | | | |
% 4.36/1.26 | | | | CLOSE: (43) is inconsistent.
% 4.36/1.26 | | | |
% 4.36/1.26 | | | Case 2:
% 4.36/1.26 | | | |
% 4.36/1.26 | | | | (44) ~ (all_4_2 = 0) | ~ (all_4_3 = 0) | all_4_1 = 0
% 4.36/1.26 | | | |
% 4.36/1.26 | | | | BETA: splitting (44) gives:
% 4.36/1.26 | | | |
% 4.36/1.26 | | | | Case 1:
% 4.36/1.26 | | | | |
% 4.36/1.26 | | | | | (45) ~ (all_4_2 = 0)
% 4.36/1.26 | | | | |
% 4.36/1.26 | | | | | REDUCE: (17), (45) imply:
% 4.36/1.26 | | | | | (46) $false
% 4.36/1.26 | | | | |
% 4.36/1.26 | | | | | CLOSE: (46) is inconsistent.
% 4.36/1.26 | | | | |
% 4.36/1.26 | | | | Case 2:
% 4.36/1.26 | | | | |
% 4.36/1.26 | | | | | (47) ~ (all_4_3 = 0) | all_4_1 = 0
% 4.36/1.26 | | | | |
% 4.36/1.26 | | | | | BETA: splitting (47) gives:
% 4.36/1.26 | | | | |
% 4.36/1.26 | | | | | Case 1:
% 4.36/1.26 | | | | | |
% 4.36/1.26 | | | | | | (48) ~ (all_4_3 = 0)
% 4.36/1.26 | | | | | |
% 4.36/1.26 | | | | | | REDUCE: (16), (48) imply:
% 4.36/1.26 | | | | | | (49) $false
% 4.36/1.26 | | | | | |
% 4.36/1.26 | | | | | | CLOSE: (49) is inconsistent.
% 4.36/1.26 | | | | | |
% 4.36/1.26 | | | | | Case 2:
% 4.36/1.26 | | | | | |
% 4.36/1.26 | | | | | | (50) all_4_1 = 0
% 4.36/1.26 | | | | | |
% 4.36/1.26 | | | | | | BETA: splitting (11) gives:
% 4.36/1.26 | | | | | |
% 4.36/1.26 | | | | | | Case 1:
% 4.36/1.26 | | | | | | |
% 4.36/1.26 | | | | | | | (51) ~ (all_4_0 = 0)
% 4.36/1.26 | | | | | | |
% 4.36/1.26 | | | | | | | BETA: splitting (41) gives:
% 4.36/1.26 | | | | | | |
% 4.36/1.26 | | | | | | | Case 1:
% 4.36/1.26 | | | | | | | |
% 4.36/1.26 | | | | | | | | (52) ~ (all_15_0 = 0)
% 4.36/1.26 | | | | | | | |
% 4.36/1.26 | | | | | | | | REDUCE: (33), (52) imply:
% 4.36/1.26 | | | | | | | | (53) $false
% 4.36/1.26 | | | | | | | |
% 4.36/1.26 | | | | | | | | CLOSE: (53) is inconsistent.
% 4.36/1.26 | | | | | | | |
% 4.36/1.26 | | | | | | | Case 2:
% 4.36/1.26 | | | | | | | |
% 4.36/1.26 | | | | | | | | (54) ~ (all_4_2 = 0) | ~ (all_4_3 = 0) | all_4_0 = 0
% 4.36/1.26 | | | | | | | |
% 4.36/1.26 | | | | | | | | BETA: splitting (54) gives:
% 4.36/1.26 | | | | | | | |
% 4.36/1.26 | | | | | | | | Case 1:
% 4.36/1.26 | | | | | | | | |
% 4.36/1.26 | | | | | | | | | (55) ~ (all_4_2 = 0)
% 4.36/1.26 | | | | | | | | |
% 4.36/1.26 | | | | | | | | | REDUCE: (17), (55) imply:
% 4.36/1.26 | | | | | | | | | (56) $false
% 4.36/1.26 | | | | | | | | |
% 4.36/1.26 | | | | | | | | | CLOSE: (56) is inconsistent.
% 4.36/1.26 | | | | | | | | |
% 4.36/1.26 | | | | | | | | Case 2:
% 4.36/1.26 | | | | | | | | |
% 4.36/1.26 | | | | | | | | | (57) ~ (all_4_3 = 0) | all_4_0 = 0
% 4.36/1.26 | | | | | | | | |
% 4.36/1.26 | | | | | | | | | BETA: splitting (57) gives:
% 4.36/1.26 | | | | | | | | |
% 4.36/1.26 | | | | | | | | | Case 1:
% 4.36/1.26 | | | | | | | | | |
% 4.36/1.26 | | | | | | | | | | (58) ~ (all_4_3 = 0)
% 4.36/1.26 | | | | | | | | | |
% 4.36/1.26 | | | | | | | | | | REDUCE: (16), (58) imply:
% 4.36/1.26 | | | | | | | | | | (59) $false
% 4.36/1.26 | | | | | | | | | |
% 4.36/1.26 | | | | | | | | | | CLOSE: (59) is inconsistent.
% 4.36/1.26 | | | | | | | | | |
% 4.36/1.26 | | | | | | | | | Case 2:
% 4.36/1.26 | | | | | | | | | |
% 4.36/1.26 | | | | | | | | | | (60) all_4_0 = 0
% 4.36/1.26 | | | | | | | | | |
% 4.36/1.26 | | | | | | | | | | REDUCE: (51), (60) imply:
% 4.36/1.26 | | | | | | | | | | (61) $false
% 4.36/1.26 | | | | | | | | | |
% 4.36/1.26 | | | | | | | | | | CLOSE: (61) is inconsistent.
% 4.36/1.26 | | | | | | | | | |
% 4.36/1.26 | | | | | | | | | End of split
% 4.36/1.26 | | | | | | | | |
% 4.36/1.26 | | | | | | | | End of split
% 4.36/1.26 | | | | | | | |
% 4.36/1.26 | | | | | | | End of split
% 4.36/1.26 | | | | | | |
% 4.36/1.26 | | | | | | Case 2:
% 4.36/1.26 | | | | | | |
% 4.36/1.26 | | | | | | | (62) ~ (all_4_1 = 0)
% 4.36/1.26 | | | | | | |
% 4.36/1.26 | | | | | | | REDUCE: (50), (62) imply:
% 4.36/1.26 | | | | | | | (63) $false
% 4.36/1.26 | | | | | | |
% 4.36/1.26 | | | | | | | CLOSE: (63) is inconsistent.
% 4.36/1.26 | | | | | | |
% 4.36/1.26 | | | | | | End of split
% 4.36/1.26 | | | | | |
% 4.36/1.26 | | | | | End of split
% 4.36/1.26 | | | | |
% 4.36/1.26 | | | | End of split
% 4.36/1.26 | | | |
% 4.36/1.26 | | | End of split
% 4.36/1.26 | | |
% 4.36/1.26 | | End of split
% 4.36/1.26 | |
% 4.36/1.26 | End of split
% 4.36/1.26 |
% 4.36/1.26 End of proof
% 4.36/1.26 % SZS output end Proof for theBenchmark
% 4.36/1.26
% 4.36/1.26 758ms
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