TSTP Solution File: NUM857+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM857+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n002.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 11:50:28 EDT 2023
% Result : Theorem 13.26s 2.54s
% Output : Proof 19.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : NUM857+2 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.10 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri Aug 25 13:06:02 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.52 ________ _____
% 0.15/0.52 ___ __ \_________(_)________________________________
% 0.15/0.52 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.15/0.52 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.15/0.52 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.15/0.52
% 0.15/0.52 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.15/0.52 (2023-06-19)
% 0.15/0.52
% 0.15/0.52 (c) Philipp Rümmer, 2009-2023
% 0.15/0.52 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.15/0.52 Amanda Stjerna.
% 0.15/0.52 Free software under BSD-3-Clause.
% 0.15/0.52
% 0.15/0.52 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.15/0.52
% 0.15/0.52 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.15/0.54 Running up to 7 provers in parallel.
% 0.15/0.56 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.15/0.56 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.15/0.56 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.15/0.56 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.15/0.56 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.15/0.56 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.15/0.56 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.01/1.18 Prover 4: Preprocessing ...
% 3.01/1.18 Prover 1: Preprocessing ...
% 3.76/1.23 Prover 3: Preprocessing ...
% 3.76/1.23 Prover 5: Preprocessing ...
% 3.76/1.23 Prover 2: Preprocessing ...
% 3.76/1.23 Prover 6: Preprocessing ...
% 3.76/1.23 Prover 0: Preprocessing ...
% 10.25/2.09 Prover 1: Warning: ignoring some quantifiers
% 10.42/2.13 Prover 3: Warning: ignoring some quantifiers
% 10.42/2.13 Prover 5: Proving ...
% 10.42/2.16 Prover 3: Constructing countermodel ...
% 11.18/2.21 Prover 1: Constructing countermodel ...
% 11.18/2.23 Prover 6: Proving ...
% 11.18/2.23 Prover 4: Warning: ignoring some quantifiers
% 11.18/2.28 Prover 2: Proving ...
% 11.74/2.35 Prover 4: Constructing countermodel ...
% 12.46/2.47 Prover 0: Proving ...
% 12.46/2.53 Prover 3: proved (1980ms)
% 12.46/2.53
% 13.26/2.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.26/2.54
% 13.26/2.54 Prover 6: stopped
% 13.26/2.54 Prover 2: stopped
% 13.26/2.55 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 13.26/2.55 Prover 5: stopped
% 13.26/2.57 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 13.26/2.57 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 13.26/2.57 Prover 0: stopped
% 13.26/2.57 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.26/2.57 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.13/2.64 Prover 8: Preprocessing ...
% 14.13/2.66 Prover 7: Preprocessing ...
% 14.13/2.69 Prover 13: Preprocessing ...
% 14.13/2.70 Prover 10: Preprocessing ...
% 14.13/2.71 Prover 11: Preprocessing ...
% 15.98/2.89 Prover 7: Warning: ignoring some quantifiers
% 16.25/2.92 Prover 7: Constructing countermodel ...
% 16.45/2.96 Prover 8: Warning: ignoring some quantifiers
% 16.45/2.98 Prover 10: Warning: ignoring some quantifiers
% 16.45/2.98 Prover 1: Found proof (size 89)
% 16.45/2.98 Prover 1: proved (2434ms)
% 16.45/2.98 Prover 4: stopped
% 16.45/3.00 Prover 8: Constructing countermodel ...
% 16.45/3.00 Prover 13: Warning: ignoring some quantifiers
% 16.45/3.00 Prover 10: Constructing countermodel ...
% 16.45/3.01 Prover 7: stopped
% 16.45/3.02 Prover 8: stopped
% 17.13/3.02 Prover 10: stopped
% 17.13/3.03 Prover 13: Constructing countermodel ...
% 17.13/3.06 Prover 13: stopped
% 17.82/3.18 Prover 11: Warning: ignoring some quantifiers
% 17.82/3.21 Prover 11: Constructing countermodel ...
% 17.82/3.25 Prover 11: stopped
% 17.82/3.25
% 17.82/3.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.82/3.25
% 17.82/3.27 % SZS output start Proof for theBenchmark
% 18.28/3.28 Assumptions after simplification:
% 18.28/3.28 ---------------------------------
% 18.28/3.28
% 18.28/3.28 (ass(cond(270, 0), 0))
% 18.52/3.32 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (vmul(v0, v1) = v2) | ~ $i(v1)
% 18.52/3.32 | ~ $i(v0) | (vmul(v1, v0) = v2 & $i(v2)))
% 18.52/3.32
% 18.52/3.32 (ass(cond(312, 0), 0))
% 18.52/3.33 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 18.52/3.33 $i] : ! [v6: int] : (v6 = 0 | ~ (vmul(v1, v3) = v5) | ~ (vmul(v0, v2) =
% 18.52/3.33 v4) | ~ (greater(v4, v5) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 18.52/3.33 $i(v0) | ? [v7: any] : ? [v8: any] : (greater(v2, v3) = v7 & greater(v0,
% 18.52/3.33 v1) = v8 & ( ~ (v8 = 0) | ~ (v7 = 0))))
% 18.52/3.33
% 18.52/3.33 (ass(cond(318, 0), 0))
% 18.52/3.33 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 18.52/3.33 $i] : ! [v6: int] : (v6 = 0 | ~ (vmul(v1, v3) = v5) | ~ (vmul(v0, v2) =
% 18.52/3.33 v4) | ~ (greater(v4, v5) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 18.63/3.33 $i(v0) | ? [v7: any] : ? [v8: any] : ? [v9: any] : ? [v10: any] :
% 18.63/3.33 (greater(v2, v3) = v7 & greater(v0, v1) = v10 & geq(v2, v3) = v9 & geq(v0,
% 18.63/3.33 v1) = v8 & ( ~ (v10 = 0) | ~ (v9 = 0)) & ( ~ (v8 = 0) | ~ (v7 = 0))))
% 18.63/3.33
% 18.63/3.33 (def(cond(conseq(axiom(3)), 16), 1))
% 18.63/3.34 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (geq(v1, v0) = v2) |
% 18.63/3.34 ~ $i(v1) | ~ $i(v0) | ( ~ (v1 = v0) & ? [v3: int] : ( ~ (v3 = 0) &
% 18.63/3.34 greater(v1, v0) = v3))) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 18.63/3.34 (geq(v1, v0) = 0) | ~ $i(v1) | ~ $i(v0) | greater(v1, v0) = 0)
% 18.63/3.34
% 18.63/3.34 (holds(conjunct1(antec(323)), 528, 0))
% 18.63/3.34 geq(vd526, vd527) = 0 & $i(vd527) & $i(vd526)
% 18.63/3.34
% 18.63/3.34 (holds(conjunct2(antec(323)), 531, 0))
% 18.63/3.34 geq(vd529, vd530) = 0 & $i(vd530) & $i(vd529)
% 18.63/3.34
% 18.63/3.34 (holds(conseq(323), 532, 0))
% 18.63/3.34 $i(vd530) & $i(vd527) & $i(vd529) & $i(vd526) & ? [v0: $i] : ? [v1: $i] : ?
% 18.63/3.34 [v2: int] : ( ~ (v2 = 0) & vmul(vd527, vd530) = v1 & vmul(vd526, vd529) = v0 &
% 18.63/3.34 geq(v0, v1) = v2 & $i(v1) & $i(v0))
% 18.63/3.34
% 18.63/3.34 (function-axioms)
% 18.63/3.35 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 18.63/3.35 [v3: $i] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0:
% 18.63/3.35 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (vplus(v3, v2)
% 18.63/3.35 = v1) | ~ (vplus(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 18.63/3.35 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (less(v3, v2)
% 18.63/3.35 = v1) | ~ (less(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 18.63/3.35 : ! [v3: $i] : (v1 = v0 | ~ (vmul(v3, v2) = v1) | ~ (vmul(v3, v2) = v0)) &
% 18.63/3.35 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 18.63/3.35 $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3, v2) = v0)) & !
% 18.63/3.35 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 18.63/3.35 $i] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0:
% 18.63/3.35 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (vskolem2(v2) = v1) | ~
% 18.63/3.35 (vskolem2(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 18.63/3.35 ~ (vsucc(v2) = v1) | ~ (vsucc(v2) = v0))
% 18.63/3.35
% 18.63/3.35 Further assumptions not needed in the proof:
% 18.63/3.35 --------------------------------------------
% 18.63/3.35 ass(cond(12, 0), 0), ass(cond(140, 0), 0), ass(cond(147, 0), 0), ass(cond(158,
% 18.63/3.35 0), 0), ass(cond(163, 0), 0), ass(cond(168, 0), 0), ass(cond(184, 0), 0),
% 18.63/3.35 ass(cond(189, 0), 0), ass(cond(20, 0), 0), ass(cond(209, 0), 0), ass(cond(223,
% 18.63/3.35 0), 0), ass(cond(228, 0), 0), ass(cond(234, 0), 0), ass(cond(241, 0), 0),
% 18.63/3.35 ass(cond(253, 0), 0), ass(cond(261, 0), 0), ass(cond(281, 0), 0), ass(cond(290,
% 18.63/3.35 0), 0), ass(cond(299, 0), 0), ass(cond(299, 0), 1), ass(cond(299, 0), 2),
% 18.63/3.35 ass(cond(33, 0), 0), ass(cond(43, 0), 0), ass(cond(52, 0), 0), ass(cond(6, 0),
% 18.63/3.35 0), ass(cond(61, 0), 0), ass(cond(73, 0), 0), ass(cond(81, 0), 0),
% 18.63/3.35 ass(cond(conjunct1(307), 0), 0), ass(cond(conjunct1(conjunct2(307)), 0), 0),
% 18.63/3.35 ass(cond(conjunct2(conjunct2(307)), 0), 0), ass(cond(goal(130), 0), 0),
% 18.63/3.35 ass(cond(goal(130), 0), 1), ass(cond(goal(130), 0), 2), ass(cond(goal(130), 0),
% 18.63/3.35 3), ass(cond(goal(177), 0), 0), ass(cond(goal(193), 0), 0),
% 18.63/3.35 ass(cond(goal(193), 0), 1), ass(cond(goal(193), 0), 2), ass(cond(goal(202), 0),
% 18.63/3.35 0), ass(cond(goal(202), 0), 1), ass(cond(goal(202), 0), 2),
% 18.63/3.35 ass(cond(goal(216), 0), 0), ass(cond(goal(88), 0), 0), ass(cond(goal(88), 0),
% 18.63/3.35 1), ass(cond(goal(88), 0), 2), ass(cond(goal(88), 0), 3),
% 18.63/3.35 def(cond(conseq(axiom(3)), 11), 1), def(cond(conseq(axiom(3)), 12), 1),
% 18.63/3.35 def(cond(conseq(axiom(3)), 17), 1), qu(antec(axiom(3)), imp(antec(axiom(3)))),
% 18.63/3.35 qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0),
% 18.63/3.35 holds(definiens(29), 44, 0))), qu(cond(conseq(axiom(3)), 32),
% 18.63/3.35 and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))),
% 18.63/3.35 qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))
% 18.63/3.35
% 18.63/3.35 Those formulas are unsatisfiable:
% 18.63/3.35 ---------------------------------
% 18.63/3.35
% 18.63/3.35 Begin of proof
% 18.63/3.35 |
% 18.63/3.35 | ALPHA: (holds(conjunct2(antec(323)), 531, 0)) implies:
% 18.63/3.35 | (1) geq(vd529, vd530) = 0
% 18.63/3.35 |
% 18.63/3.35 | ALPHA: (holds(conjunct1(antec(323)), 528, 0)) implies:
% 18.63/3.35 | (2) geq(vd526, vd527) = 0
% 18.63/3.35 |
% 18.63/3.35 | ALPHA: (def(cond(conseq(axiom(3)), 16), 1)) implies:
% 18.63/3.35 | (3) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (geq(v1, v0) = 0) | ~ $i(v1)
% 18.63/3.35 | | ~ $i(v0) | greater(v1, v0) = 0)
% 18.63/3.35 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (geq(v1, v0) =
% 18.63/3.35 | v2) | ~ $i(v1) | ~ $i(v0) | ( ~ (v1 = v0) & ? [v3: int] : ( ~
% 18.63/3.35 | (v3 = 0) & greater(v1, v0) = v3)))
% 18.63/3.36 |
% 18.63/3.36 | ALPHA: (holds(conseq(323), 532, 0)) implies:
% 18.63/3.36 | (5) $i(vd526)
% 18.63/3.36 | (6) $i(vd529)
% 18.63/3.36 | (7) $i(vd527)
% 18.63/3.36 | (8) $i(vd530)
% 18.63/3.36 | (9) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & vmul(vd527,
% 18.63/3.36 | vd530) = v1 & vmul(vd526, vd529) = v0 & geq(v0, v1) = v2 & $i(v1) &
% 18.63/3.36 | $i(v0))
% 18.63/3.36 |
% 18.63/3.36 | ALPHA: (function-axioms) implies:
% 18.63/3.36 | (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 18.63/3.36 | : ! [v3: $i] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) =
% 18.63/3.36 | v0))
% 18.63/3.36 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 18.63/3.36 | : ! [v3: $i] : (v1 = v0 | ~ (greater(v3, v2) = v1) | ~ (greater(v3,
% 18.63/3.36 | v2) = v0))
% 18.63/3.36 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 18.63/3.36 | (vmul(v3, v2) = v1) | ~ (vmul(v3, v2) = v0))
% 18.63/3.36 |
% 18.63/3.36 | DELTA: instantiating (9) with fresh symbols all_62_0, all_62_1, all_62_2
% 18.63/3.36 | gives:
% 18.63/3.36 | (13) ~ (all_62_0 = 0) & vmul(vd527, vd530) = all_62_1 & vmul(vd526, vd529)
% 18.63/3.36 | = all_62_2 & geq(all_62_2, all_62_1) = all_62_0 & $i(all_62_1) &
% 18.63/3.36 | $i(all_62_2)
% 18.63/3.36 |
% 18.63/3.36 | ALPHA: (13) implies:
% 18.63/3.36 | (14) ~ (all_62_0 = 0)
% 18.63/3.37 | (15) $i(all_62_2)
% 18.63/3.37 | (16) $i(all_62_1)
% 18.63/3.37 | (17) geq(all_62_2, all_62_1) = all_62_0
% 18.63/3.37 | (18) vmul(vd526, vd529) = all_62_2
% 18.63/3.37 | (19) vmul(vd527, vd530) = all_62_1
% 18.63/3.37 |
% 18.63/3.37 | GROUND_INST: instantiating (3) with vd527, vd526, simplifying with (2), (5),
% 18.63/3.37 | (7) gives:
% 18.63/3.37 | (20) vd527 = vd526 | greater(vd526, vd527) = 0
% 18.63/3.37 |
% 18.63/3.37 | GROUND_INST: instantiating (3) with vd530, vd529, simplifying with (1), (6),
% 18.63/3.37 | (8) gives:
% 18.63/3.37 | (21) vd530 = vd529 | greater(vd529, vd530) = 0
% 18.63/3.37 |
% 18.63/3.37 | GROUND_INST: instantiating (4) with all_62_1, all_62_2, all_62_0, simplifying
% 18.63/3.37 | with (15), (16), (17) gives:
% 18.63/3.37 | (22) all_62_0 = 0 | ( ~ (all_62_1 = all_62_2) & ? [v0: int] : ( ~ (v0 = 0)
% 18.63/3.37 | & greater(all_62_2, all_62_1) = v0))
% 18.63/3.37 |
% 18.63/3.37 | GROUND_INST: instantiating (ass(cond(270, 0), 0)) with vd526, vd529, all_62_2,
% 18.63/3.37 | simplifying with (5), (6), (18) gives:
% 18.63/3.37 | (23) vmul(vd529, vd526) = all_62_2 & $i(all_62_2)
% 18.63/3.37 |
% 18.63/3.37 | ALPHA: (23) implies:
% 18.63/3.37 | (24) vmul(vd529, vd526) = all_62_2
% 18.63/3.37 |
% 18.63/3.37 | GROUND_INST: instantiating (ass(cond(270, 0), 0)) with vd527, vd530, all_62_1,
% 18.63/3.37 | simplifying with (7), (8), (19) gives:
% 18.63/3.37 | (25) vmul(vd530, vd527) = all_62_1 & $i(all_62_1)
% 18.63/3.37 |
% 18.63/3.37 | ALPHA: (25) implies:
% 18.63/3.37 | (26) vmul(vd530, vd527) = all_62_1
% 18.63/3.37 |
% 18.63/3.38 | BETA: splitting (22) gives:
% 18.63/3.38 |
% 18.63/3.38 | Case 1:
% 18.63/3.38 | |
% 18.63/3.38 | | (27) all_62_0 = 0
% 18.63/3.38 | |
% 18.63/3.38 | | REDUCE: (14), (27) imply:
% 18.63/3.38 | | (28) $false
% 18.63/3.38 | |
% 18.63/3.38 | | CLOSE: (28) is inconsistent.
% 18.63/3.38 | |
% 18.63/3.38 | Case 2:
% 18.63/3.38 | |
% 18.63/3.38 | | (29) ~ (all_62_1 = all_62_2) & ? [v0: int] : ( ~ (v0 = 0) &
% 18.63/3.38 | | greater(all_62_2, all_62_1) = v0)
% 18.63/3.38 | |
% 18.63/3.38 | | ALPHA: (29) implies:
% 18.63/3.38 | | (30) ~ (all_62_1 = all_62_2)
% 18.63/3.38 | | (31) ? [v0: int] : ( ~ (v0 = 0) & greater(all_62_2, all_62_1) = v0)
% 18.63/3.38 | |
% 18.63/3.38 | | DELTA: instantiating (31) with fresh symbol all_76_0 gives:
% 18.63/3.38 | | (32) ~ (all_76_0 = 0) & greater(all_62_2, all_62_1) = all_76_0
% 18.63/3.38 | |
% 18.63/3.38 | | ALPHA: (32) implies:
% 18.63/3.38 | | (33) ~ (all_76_0 = 0)
% 18.63/3.38 | | (34) greater(all_62_2, all_62_1) = all_76_0
% 18.63/3.38 | |
% 18.63/3.38 | | GROUND_INST: instantiating (ass(cond(318, 0), 0)) with vd526, vd527, vd529,
% 18.63/3.38 | | vd530, all_62_2, all_62_1, all_76_0, simplifying with (5), (6),
% 18.63/3.38 | | (7), (8), (18), (19), (34) gives:
% 18.63/3.38 | | (35) all_76_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 18.63/3.38 | | any] : (greater(vd529, vd530) = v0 & greater(vd526, vd527) = v3 &
% 18.63/3.39 | | geq(vd529, vd530) = v2 & geq(vd526, vd527) = v1 & ( ~ (v3 = 0) |
% 18.63/3.39 | | ~ (v2 = 0)) & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 18.63/3.39 | |
% 18.63/3.39 | | GROUND_INST: instantiating (ass(cond(312, 0), 0)) with vd526, vd527, vd529,
% 18.63/3.39 | | vd530, all_62_2, all_62_1, all_76_0, simplifying with (5), (6),
% 18.63/3.39 | | (7), (8), (18), (19), (34) gives:
% 18.63/3.39 | | (36) all_76_0 = 0 | ? [v0: any] : ? [v1: any] : (greater(vd529, vd530)
% 18.63/3.39 | | = v0 & greater(vd526, vd527) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 18.63/3.39 | |
% 18.63/3.39 | | GROUND_INST: instantiating (ass(cond(318, 0), 0)) with vd529, vd530, vd526,
% 18.63/3.39 | | vd527, all_62_2, all_62_1, all_76_0, simplifying with (5), (6),
% 18.63/3.39 | | (7), (8), (24), (26), (34) gives:
% 18.63/3.39 | | (37) all_76_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3:
% 18.63/3.39 | | any] : (greater(vd529, vd530) = v3 & greater(vd526, vd527) = v0 &
% 18.63/3.39 | | geq(vd529, vd530) = v1 & geq(vd526, vd527) = v2 & ( ~ (v3 = 0) |
% 18.63/3.39 | | ~ (v2 = 0)) & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 18.63/3.39 | |
% 18.63/3.39 | | GROUND_INST: instantiating (ass(cond(312, 0), 0)) with vd529, vd530, vd526,
% 18.63/3.39 | | vd527, all_62_2, all_62_1, all_76_0, simplifying with (5), (6),
% 18.63/3.39 | | (7), (8), (24), (26), (34) gives:
% 18.63/3.39 | | (38) all_76_0 = 0 | ? [v0: any] : ? [v1: any] : (greater(vd529, vd530)
% 18.63/3.39 | | = v1 & greater(vd526, vd527) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 18.63/3.39 | |
% 18.63/3.39 | | BETA: splitting (37) gives:
% 18.63/3.39 | |
% 18.63/3.39 | | Case 1:
% 18.63/3.39 | | |
% 18.63/3.39 | | | (39) all_76_0 = 0
% 18.63/3.39 | | |
% 18.63/3.39 | | | REDUCE: (33), (39) imply:
% 18.63/3.40 | | | (40) $false
% 18.63/3.40 | | |
% 18.63/3.40 | | | CLOSE: (40) is inconsistent.
% 18.63/3.40 | | |
% 18.63/3.40 | | Case 2:
% 18.63/3.40 | | |
% 18.63/3.40 | | | (41) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 18.63/3.40 | | | (greater(vd529, vd530) = v3 & greater(vd526, vd527) = v0 &
% 18.63/3.40 | | | geq(vd529, vd530) = v1 & geq(vd526, vd527) = v2 & ( ~ (v3 = 0) |
% 18.63/3.40 | | | ~ (v2 = 0)) & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 18.63/3.40 | | |
% 18.63/3.40 | | | DELTA: instantiating (41) with fresh symbols all_93_0, all_93_1, all_93_2,
% 18.63/3.40 | | | all_93_3 gives:
% 18.63/3.40 | | | (42) greater(vd529, vd530) = all_93_0 & greater(vd526, vd527) =
% 18.63/3.40 | | | all_93_3 & geq(vd529, vd530) = all_93_2 & geq(vd526, vd527) =
% 18.63/3.40 | | | all_93_1 & ( ~ (all_93_0 = 0) | ~ (all_93_1 = 0)) & ( ~ (all_93_2
% 18.63/3.40 | | | = 0) | ~ (all_93_3 = 0))
% 18.63/3.40 | | |
% 18.63/3.40 | | | ALPHA: (42) implies:
% 18.63/3.40 | | | (43) geq(vd526, vd527) = all_93_1
% 18.63/3.40 | | | (44) geq(vd529, vd530) = all_93_2
% 18.63/3.40 | | | (45) greater(vd526, vd527) = all_93_3
% 18.63/3.40 | | | (46) greater(vd529, vd530) = all_93_0
% 18.63/3.40 | | | (47) ~ (all_93_2 = 0) | ~ (all_93_3 = 0)
% 18.63/3.40 | | | (48) ~ (all_93_0 = 0) | ~ (all_93_1 = 0)
% 18.63/3.40 | | |
% 18.63/3.40 | | | BETA: splitting (38) gives:
% 18.63/3.40 | | |
% 18.63/3.40 | | | Case 1:
% 18.63/3.40 | | | |
% 18.63/3.40 | | | | (49) all_76_0 = 0
% 18.63/3.40 | | | |
% 18.63/3.40 | | | | REDUCE: (33), (49) imply:
% 18.63/3.40 | | | | (50) $false
% 18.63/3.40 | | | |
% 18.63/3.40 | | | | CLOSE: (50) is inconsistent.
% 18.63/3.40 | | | |
% 18.63/3.40 | | | Case 2:
% 18.63/3.40 | | | |
% 18.63/3.40 | | | | (51) ? [v0: any] : ? [v1: any] : (greater(vd529, vd530) = v1 &
% 18.63/3.40 | | | | greater(vd526, vd527) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 18.63/3.40 | | | |
% 18.63/3.40 | | | | DELTA: instantiating (51) with fresh symbols all_103_0, all_103_1 gives:
% 18.63/3.40 | | | | (52) greater(vd529, vd530) = all_103_0 & greater(vd526, vd527) =
% 18.63/3.40 | | | | all_103_1 & ( ~ (all_103_0 = 0) | ~ (all_103_1 = 0))
% 18.63/3.40 | | | |
% 18.63/3.40 | | | | ALPHA: (52) implies:
% 18.63/3.40 | | | | (53) greater(vd526, vd527) = all_103_1
% 18.63/3.40 | | | | (54) greater(vd529, vd530) = all_103_0
% 18.63/3.40 | | | |
% 18.63/3.40 | | | | BETA: splitting (36) gives:
% 18.63/3.40 | | | |
% 18.63/3.40 | | | | Case 1:
% 18.63/3.40 | | | | |
% 18.63/3.40 | | | | | (55) all_76_0 = 0
% 18.63/3.40 | | | | |
% 18.63/3.40 | | | | | REDUCE: (33), (55) imply:
% 18.63/3.40 | | | | | (56) $false
% 18.63/3.40 | | | | |
% 18.63/3.40 | | | | | CLOSE: (56) is inconsistent.
% 18.63/3.40 | | | | |
% 18.63/3.40 | | | | Case 2:
% 18.63/3.40 | | | | |
% 18.63/3.41 | | | | | (57) ? [v0: any] : ? [v1: any] : (greater(vd529, vd530) = v0 &
% 18.63/3.41 | | | | | greater(vd526, vd527) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 18.63/3.41 | | | | |
% 18.63/3.41 | | | | | DELTA: instantiating (57) with fresh symbols all_113_0, all_113_1
% 18.63/3.41 | | | | | gives:
% 18.63/3.41 | | | | | (58) greater(vd529, vd530) = all_113_1 & greater(vd526, vd527) =
% 18.63/3.41 | | | | | all_113_0 & ( ~ (all_113_0 = 0) | ~ (all_113_1 = 0))
% 18.63/3.41 | | | | |
% 18.63/3.41 | | | | | ALPHA: (58) implies:
% 18.63/3.41 | | | | | (59) greater(vd526, vd527) = all_113_0
% 18.63/3.41 | | | | | (60) greater(vd529, vd530) = all_113_1
% 18.63/3.41 | | | | |
% 18.63/3.41 | | | | | BETA: splitting (35) gives:
% 18.63/3.41 | | | | |
% 18.63/3.41 | | | | | Case 1:
% 18.63/3.41 | | | | | |
% 18.63/3.41 | | | | | | (61) all_76_0 = 0
% 18.63/3.41 | | | | | |
% 18.63/3.41 | | | | | | REDUCE: (33), (61) imply:
% 18.63/3.41 | | | | | | (62) $false
% 18.63/3.41 | | | | | |
% 18.63/3.41 | | | | | | CLOSE: (62) is inconsistent.
% 18.63/3.41 | | | | | |
% 18.63/3.41 | | | | | Case 2:
% 18.63/3.41 | | | | | |
% 18.63/3.41 | | | | | | (63) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 18.63/3.41 | | | | | | (greater(vd529, vd530) = v0 & greater(vd526, vd527) = v3 &
% 18.63/3.41 | | | | | | geq(vd529, vd530) = v2 & geq(vd526, vd527) = v1 & ( ~ (v3
% 18.63/3.41 | | | | | | = 0) | ~ (v2 = 0)) & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 18.63/3.41 | | | | | |
% 18.63/3.41 | | | | | | DELTA: instantiating (63) with fresh symbols all_118_0, all_118_1,
% 18.63/3.41 | | | | | | all_118_2, all_118_3 gives:
% 18.63/3.41 | | | | | | (64) greater(vd529, vd530) = all_118_3 & greater(vd526, vd527) =
% 18.63/3.41 | | | | | | all_118_0 & geq(vd529, vd530) = all_118_1 & geq(vd526,
% 18.63/3.41 | | | | | | vd527) = all_118_2 & ( ~ (all_118_0 = 0) | ~ (all_118_1 =
% 18.63/3.41 | | | | | | 0)) & ( ~ (all_118_2 = 0) | ~ (all_118_3 = 0))
% 18.63/3.41 | | | | | |
% 18.63/3.41 | | | | | | ALPHA: (64) implies:
% 18.63/3.41 | | | | | | (65) geq(vd526, vd527) = all_118_2
% 18.63/3.41 | | | | | | (66) geq(vd529, vd530) = all_118_1
% 18.63/3.41 | | | | | | (67) greater(vd526, vd527) = all_118_0
% 18.63/3.41 | | | | | | (68) greater(vd529, vd530) = all_118_3
% 18.63/3.41 | | | | | |
% 18.63/3.41 | | | | | | GROUND_INST: instantiating (10) with 0, all_118_2, vd527, vd526,
% 18.63/3.41 | | | | | | simplifying with (2), (65) gives:
% 18.63/3.41 | | | | | | (69) all_118_2 = 0
% 18.63/3.41 | | | | | |
% 18.63/3.41 | | | | | | GROUND_INST: instantiating (10) with all_93_1, all_118_2, vd527,
% 18.63/3.41 | | | | | | vd526, simplifying with (43), (65) gives:
% 18.63/3.42 | | | | | | (70) all_118_2 = all_93_1
% 18.63/3.42 | | | | | |
% 18.63/3.42 | | | | | | GROUND_INST: instantiating (10) with 0, all_118_1, vd530, vd529,
% 18.63/3.42 | | | | | | simplifying with (1), (66) gives:
% 18.63/3.42 | | | | | | (71) all_118_1 = 0
% 18.63/3.42 | | | | | |
% 18.63/3.42 | | | | | | GROUND_INST: instantiating (10) with all_93_2, all_118_1, vd530,
% 18.63/3.42 | | | | | | vd529, simplifying with (44), (66) gives:
% 18.63/3.42 | | | | | | (72) all_118_1 = all_93_2
% 18.63/3.42 | | | | | |
% 18.63/3.42 | | | | | | GROUND_INST: instantiating (11) with all_113_0, all_118_0, vd527,
% 18.63/3.42 | | | | | | vd526, simplifying with (59), (67) gives:
% 18.63/3.42 | | | | | | (73) all_118_0 = all_113_0
% 18.63/3.42 | | | | | |
% 18.63/3.42 | | | | | | GROUND_INST: instantiating (11) with all_103_1, all_118_0, vd527,
% 18.63/3.42 | | | | | | vd526, simplifying with (53), (67) gives:
% 18.63/3.42 | | | | | | (74) all_118_0 = all_103_1
% 18.63/3.42 | | | | | |
% 18.63/3.42 | | | | | | GROUND_INST: instantiating (11) with all_93_3, all_118_0, vd527,
% 18.63/3.42 | | | | | | vd526, simplifying with (45), (67) gives:
% 18.63/3.42 | | | | | | (75) all_118_0 = all_93_3
% 18.63/3.42 | | | | | |
% 18.63/3.42 | | | | | | GROUND_INST: instantiating (11) with all_93_0, all_113_1, vd530,
% 18.63/3.42 | | | | | | vd529, simplifying with (46), (60) gives:
% 18.63/3.42 | | | | | | (76) all_113_1 = all_93_0
% 18.63/3.42 | | | | | |
% 18.63/3.42 | | | | | | GROUND_INST: instantiating (11) with all_113_1, all_118_3, vd530,
% 18.63/3.42 | | | | | | vd529, simplifying with (60), (68) gives:
% 19.08/3.42 | | | | | | (77) all_118_3 = all_113_1
% 19.08/3.42 | | | | | |
% 19.08/3.42 | | | | | | GROUND_INST: instantiating (11) with all_103_0, all_118_3, vd530,
% 19.08/3.42 | | | | | | vd529, simplifying with (54), (68) gives:
% 19.08/3.42 | | | | | | (78) all_118_3 = all_103_0
% 19.08/3.42 | | | | | |
% 19.08/3.42 | | | | | | COMBINE_EQS: (73), (75) imply:
% 19.08/3.42 | | | | | | (79) all_113_0 = all_93_3
% 19.08/3.42 | | | | | |
% 19.08/3.42 | | | | | | COMBINE_EQS: (73), (74) imply:
% 19.08/3.42 | | | | | | (80) all_113_0 = all_103_1
% 19.08/3.42 | | | | | |
% 19.08/3.42 | | | | | | COMBINE_EQS: (71), (72) imply:
% 19.08/3.42 | | | | | | (81) all_93_2 = 0
% 19.08/3.42 | | | | | |
% 19.08/3.42 | | | | | | COMBINE_EQS: (69), (70) imply:
% 19.08/3.42 | | | | | | (82) all_93_1 = 0
% 19.08/3.42 | | | | | |
% 19.08/3.42 | | | | | | COMBINE_EQS: (77), (78) imply:
% 19.08/3.42 | | | | | | (83) all_113_1 = all_103_0
% 19.08/3.42 | | | | | |
% 19.08/3.42 | | | | | | SIMP: (83) implies:
% 19.08/3.42 | | | | | | (84) all_113_1 = all_103_0
% 19.08/3.42 | | | | | |
% 19.08/3.42 | | | | | | COMBINE_EQS: (79), (80) imply:
% 19.08/3.42 | | | | | | (85) all_103_1 = all_93_3
% 19.08/3.42 | | | | | |
% 19.08/3.42 | | | | | | SIMP: (85) implies:
% 19.08/3.42 | | | | | | (86) all_103_1 = all_93_3
% 19.08/3.42 | | | | | |
% 19.08/3.42 | | | | | | COMBINE_EQS: (76), (84) imply:
% 19.08/3.42 | | | | | | (87) all_103_0 = all_93_0
% 19.08/3.42 | | | | | |
% 19.08/3.42 | | | | | | BETA: splitting (47) gives:
% 19.08/3.42 | | | | | |
% 19.08/3.42 | | | | | | Case 1:
% 19.08/3.42 | | | | | | |
% 19.08/3.42 | | | | | | | (88) ~ (all_93_2 = 0)
% 19.08/3.42 | | | | | | |
% 19.08/3.42 | | | | | | | REDUCE: (81), (88) imply:
% 19.08/3.42 | | | | | | | (89) $false
% 19.08/3.42 | | | | | | |
% 19.08/3.42 | | | | | | | CLOSE: (89) is inconsistent.
% 19.08/3.42 | | | | | | |
% 19.08/3.42 | | | | | | Case 2:
% 19.08/3.42 | | | | | | |
% 19.08/3.42 | | | | | | | (90) ~ (all_93_3 = 0)
% 19.08/3.42 | | | | | | |
% 19.08/3.42 | | | | | | | BETA: splitting (48) gives:
% 19.08/3.42 | | | | | | |
% 19.08/3.42 | | | | | | | Case 1:
% 19.08/3.42 | | | | | | | |
% 19.08/3.43 | | | | | | | | (91) ~ (all_93_0 = 0)
% 19.08/3.43 | | | | | | | |
% 19.08/3.43 | | | | | | | | BETA: splitting (21) gives:
% 19.08/3.43 | | | | | | | |
% 19.08/3.43 | | | | | | | | Case 1:
% 19.08/3.43 | | | | | | | | |
% 19.08/3.43 | | | | | | | | | (92) greater(vd529, vd530) = 0
% 19.08/3.43 | | | | | | | | |
% 19.08/3.43 | | | | | | | | | GROUND_INST: instantiating (11) with all_93_0, 0, vd530, vd529,
% 19.08/3.43 | | | | | | | | | simplifying with (46), (92) gives:
% 19.08/3.43 | | | | | | | | | (93) all_93_0 = 0
% 19.08/3.43 | | | | | | | | |
% 19.08/3.43 | | | | | | | | | REDUCE: (91), (93) imply:
% 19.08/3.43 | | | | | | | | | (94) $false
% 19.08/3.43 | | | | | | | | |
% 19.08/3.43 | | | | | | | | | CLOSE: (94) is inconsistent.
% 19.08/3.43 | | | | | | | | |
% 19.08/3.43 | | | | | | | | Case 2:
% 19.08/3.43 | | | | | | | | |
% 19.08/3.43 | | | | | | | | | (95) vd530 = vd529
% 19.08/3.43 | | | | | | | | |
% 19.08/3.43 | | | | | | | | | REDUCE: (26), (95) imply:
% 19.08/3.43 | | | | | | | | | (96) vmul(vd529, vd527) = all_62_1
% 19.08/3.43 | | | | | | | | |
% 19.08/3.43 | | | | | | | | | BETA: splitting (20) gives:
% 19.08/3.43 | | | | | | | | |
% 19.08/3.43 | | | | | | | | | Case 1:
% 19.08/3.43 | | | | | | | | | |
% 19.08/3.43 | | | | | | | | | | (97) greater(vd526, vd527) = 0
% 19.08/3.43 | | | | | | | | | |
% 19.08/3.43 | | | | | | | | | | GROUND_INST: instantiating (11) with all_93_3, 0, vd527, vd526,
% 19.08/3.43 | | | | | | | | | | simplifying with (45), (97) gives:
% 19.08/3.43 | | | | | | | | | | (98) all_93_3 = 0
% 19.08/3.43 | | | | | | | | | |
% 19.08/3.43 | | | | | | | | | | REDUCE: (90), (98) imply:
% 19.08/3.43 | | | | | | | | | | (99) $false
% 19.08/3.43 | | | | | | | | | |
% 19.08/3.43 | | | | | | | | | | CLOSE: (99) is inconsistent.
% 19.08/3.43 | | | | | | | | | |
% 19.08/3.43 | | | | | | | | | Case 2:
% 19.08/3.43 | | | | | | | | | |
% 19.08/3.43 | | | | | | | | | | (100) vd527 = vd526
% 19.08/3.43 | | | | | | | | | |
% 19.08/3.43 | | | | | | | | | | REDUCE: (96), (100) imply:
% 19.08/3.43 | | | | | | | | | | (101) vmul(vd529, vd526) = all_62_1
% 19.08/3.43 | | | | | | | | | |
% 19.08/3.43 | | | | | | | | | | GROUND_INST: instantiating (12) with all_62_2, all_62_1, vd526,
% 19.08/3.43 | | | | | | | | | | vd529, simplifying with (24), (101) gives:
% 19.08/3.43 | | | | | | | | | | (102) all_62_1 = all_62_2
% 19.08/3.43 | | | | | | | | | |
% 19.08/3.43 | | | | | | | | | | REDUCE: (30), (102) imply:
% 19.08/3.43 | | | | | | | | | | (103) $false
% 19.08/3.43 | | | | | | | | | |
% 19.08/3.43 | | | | | | | | | | CLOSE: (103) is inconsistent.
% 19.08/3.43 | | | | | | | | | |
% 19.08/3.43 | | | | | | | | | End of split
% 19.08/3.43 | | | | | | | | |
% 19.08/3.43 | | | | | | | | End of split
% 19.08/3.43 | | | | | | | |
% 19.08/3.43 | | | | | | | Case 2:
% 19.08/3.43 | | | | | | | |
% 19.08/3.43 | | | | | | | | (104) ~ (all_93_1 = 0)
% 19.08/3.43 | | | | | | | |
% 19.08/3.43 | | | | | | | | REDUCE: (82), (104) imply:
% 19.08/3.43 | | | | | | | | (105) $false
% 19.08/3.43 | | | | | | | |
% 19.08/3.43 | | | | | | | | CLOSE: (105) is inconsistent.
% 19.08/3.43 | | | | | | | |
% 19.08/3.43 | | | | | | | End of split
% 19.08/3.43 | | | | | | |
% 19.08/3.43 | | | | | | End of split
% 19.08/3.43 | | | | | |
% 19.08/3.43 | | | | | End of split
% 19.08/3.43 | | | | |
% 19.08/3.43 | | | | End of split
% 19.08/3.43 | | | |
% 19.08/3.43 | | | End of split
% 19.08/3.43 | | |
% 19.08/3.43 | | End of split
% 19.08/3.43 | |
% 19.08/3.43 | End of split
% 19.08/3.43 |
% 19.08/3.43 End of proof
% 19.08/3.43 % SZS output end Proof for theBenchmark
% 19.08/3.43
% 19.08/3.43 2911ms
%------------------------------------------------------------------------------