TSTP Solution File: ARI256_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ARI256_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n007.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 : Wed Aug 30 17:47:27 EDT 2023
% Result : Theorem 6.79s 1.54s
% Output : Proof 21.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.08 % Problem : ARI256_1 : TPTP v8.1.2. Released v5.0.0.
% 0.06/0.08 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.08/0.27 % Computer : n007.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Tue Aug 29 17:38:13 EDT 2023
% 0.08/0.27 % CPUTime :
% 0.12/0.48 ________ _____
% 0.12/0.48 ___ __ \_________(_)________________________________
% 0.12/0.48 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.12/0.48 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.12/0.48 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.12/0.48
% 0.12/0.48 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.12/0.48 (2023-06-19)
% 0.12/0.48
% 0.12/0.48 (c) Philipp Rümmer, 2009-2023
% 0.12/0.48 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.12/0.48 Amanda Stjerna.
% 0.12/0.48 Free software under BSD-3-Clause.
% 0.12/0.48
% 0.12/0.48 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.12/0.48
% 0.12/0.48 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.12/0.50 Running up to 7 provers in parallel.
% 0.12/0.52 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.12/0.52 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.12/0.52 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.12/0.52 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.12/0.52 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.12/0.52 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.12/0.52 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.47/0.78 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.47/0.78 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.47/0.78 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.47/0.78 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.47/0.78 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.47/0.78 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.47/0.78 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.86/0.87 Prover 1: Preprocessing ...
% 1.86/0.87 Prover 4: Preprocessing ...
% 2.45/0.94 Prover 6: Preprocessing ...
% 2.45/0.94 Prover 0: Preprocessing ...
% 5.74/1.41 Prover 2: Preprocessing ...
% 5.74/1.42 Prover 3: Preprocessing ...
% 5.74/1.43 Prover 5: Preprocessing ...
% 6.34/1.49 Prover 6: Constructing countermodel ...
% 6.34/1.49 Prover 0: Constructing countermodel ...
% 6.79/1.54 Prover 0: proved (1035ms)
% 6.79/1.54
% 6.79/1.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.79/1.54
% 6.79/1.55 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.79/1.55 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation
% 6.79/1.56 Prover 6: proved (1040ms)
% 6.79/1.56
% 6.79/1.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.79/1.56
% 7.09/1.58 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 7.09/1.58 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation
% 7.09/1.59 Prover 8: Preprocessing ...
% 7.09/1.61 Prover 1: Constructing countermodel ...
% 8.06/1.69 Prover 4: Constructing countermodel ...
% 8.49/1.75 Prover 1: Found proof (size 3)
% 8.49/1.75 Prover 1: proved (1237ms)
% 8.58/1.78 Prover 4: stopped
% 8.96/1.83 Prover 7: Preprocessing ...
% 9.24/1.93 Prover 8: Warning: ignoring some quantifiers
% 9.85/1.95 Prover 8: Constructing countermodel ...
% 9.85/1.97 Prover 8: stopped
% 14.98/2.69 Prover 7: stopped
% 14.98/2.70 Prover 2: stopped
% 19.80/3.55 Prover 5: Constructing countermodel ...
% 19.80/3.55 Prover 5: stopped
% 20.85/3.80 Prover 3: Constructing countermodel ...
% 20.85/3.80 Prover 3: stopped
% 20.85/3.80
% 20.85/3.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.85/3.80
% 20.85/3.80 % SZS output start Proof for theBenchmark
% 20.85/3.81 Assumptions after simplification:
% 20.85/3.81 ---------------------------------
% 20.85/3.81
% 20.85/3.81 (rat_sum_problem_11)
% 21.00/3.82 rat_151/20 = rat_11/2
% 21.00/3.82
% 21.00/3.82 (input)
% 21.14/3.91 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_151/20) & ~
% 21.14/3.91 (rat_very_large = rat_11/2) & ~ (rat_very_large = rat_81/20) & ~
% 21.14/3.92 (rat_very_large = rat_7/2) & ~ (rat_very_large = rat_0) & ~ (rat_very_small
% 21.14/3.92 = rat_151/20) & ~ (rat_very_small = rat_11/2) & ~ (rat_very_small =
% 21.14/3.92 rat_81/20) & ~ (rat_very_small = rat_7/2) & ~ (rat_very_small = rat_0) &
% 21.14/3.92 ~ (rat_151/20 = rat_11/2) & ~ (rat_151/20 = rat_81/20) & ~ (rat_151/20 =
% 21.14/3.92 rat_7/2) & ~ (rat_151/20 = rat_0) & ~ (rat_11/2 = rat_81/20) & ~
% 21.14/3.92 (rat_11/2 = rat_7/2) & ~ (rat_11/2 = rat_0) & ~ (rat_81/20 = rat_7/2) & ~
% 21.14/3.92 (rat_81/20 = rat_0) & ~ (rat_7/2 = rat_0) & rat_$is_int(rat_151/20) = 1 &
% 21.14/3.92 rat_$is_int(rat_11/2) = 1 & rat_$is_int(rat_81/20) = 1 & rat_$is_int(rat_7/2)
% 21.14/3.92 = 1 & rat_$is_int(rat_0) = 0 & rat_$is_rat(rat_151/20) = 0 &
% 21.14/3.92 rat_$is_rat(rat_11/2) = 0 & rat_$is_rat(rat_81/20) = 0 & rat_$is_rat(rat_7/2)
% 21.14/3.92 = 0 & rat_$is_rat(rat_0) = 0 & rat_$floor(rat_0) = rat_0 & rat_$ceiling(rat_0)
% 21.14/3.92 = rat_0 & rat_$truncate(rat_0) = rat_0 & rat_$round(rat_0) = rat_0 &
% 21.14/3.92 rat_$to_int(rat_151/20) = 7 & rat_$to_int(rat_11/2) = 5 &
% 21.14/3.92 rat_$to_int(rat_81/20) = 4 & rat_$to_int(rat_7/2) = 3 & rat_$to_int(rat_0) = 0
% 21.14/3.92 & rat_$to_rat(rat_151/20) = rat_151/20 & rat_$to_rat(rat_11/2) = rat_11/2 &
% 21.14/3.92 rat_$to_rat(rat_81/20) = rat_81/20 & rat_$to_rat(rat_7/2) = rat_7/2 &
% 21.14/3.92 rat_$to_rat(rat_0) = rat_0 & rat_$to_real(rat_151/20) = real_151/20 &
% 21.14/3.92 rat_$to_real(rat_11/2) = real_11/2 & rat_$to_real(rat_81/20) = real_81/20 &
% 21.14/3.92 rat_$to_real(rat_7/2) = real_7/2 & rat_$to_real(rat_0) = real_0 &
% 21.14/3.92 int_$to_rat(0) = rat_0 & rat_$quotient(rat_0, rat_151/20) = rat_0 &
% 21.14/3.92 rat_$quotient(rat_0, rat_11/2) = rat_0 & rat_$quotient(rat_0, rat_81/20) =
% 21.14/3.92 rat_0 & rat_$quotient(rat_0, rat_7/2) = rat_0 & rat_$product(rat_151/20,
% 21.14/3.92 rat_0) = rat_0 & rat_$product(rat_11/2, rat_0) = rat_0 &
% 21.14/3.92 rat_$product(rat_81/20, rat_0) = rat_0 & rat_$product(rat_7/2, rat_0) = rat_0
% 21.14/3.92 & rat_$product(rat_0, rat_151/20) = rat_0 & rat_$product(rat_0, rat_11/2) =
% 21.14/3.92 rat_0 & rat_$product(rat_0, rat_81/20) = rat_0 & rat_$product(rat_0, rat_7/2)
% 21.14/3.92 = rat_0 & rat_$product(rat_0, rat_0) = rat_0 & rat_$difference(rat_151/20,
% 21.14/3.92 rat_151/20) = rat_0 & rat_$difference(rat_151/20, rat_81/20) = rat_7/2 &
% 21.14/3.92 rat_$difference(rat_151/20, rat_7/2) = rat_81/20 & rat_$difference(rat_151/20,
% 21.14/3.92 rat_0) = rat_151/20 & rat_$difference(rat_11/2, rat_11/2) = rat_0 &
% 21.14/3.92 rat_$difference(rat_11/2, rat_0) = rat_11/2 & rat_$difference(rat_81/20,
% 21.14/3.92 rat_81/20) = rat_0 & rat_$difference(rat_81/20, rat_0) = rat_81/20 &
% 21.14/3.92 rat_$difference(rat_7/2, rat_7/2) = rat_0 & rat_$difference(rat_7/2, rat_0) =
% 21.14/3.92 rat_7/2 & rat_$difference(rat_0, rat_0) = rat_0 & rat_$uminus(rat_0) = rat_0 &
% 21.14/3.92 rat_$sum(rat_151/20, rat_0) = rat_151/20 & rat_$sum(rat_11/2, rat_0) =
% 21.14/3.92 rat_11/2 & rat_$sum(rat_81/20, rat_7/2) = rat_151/20 & rat_$sum(rat_81/20,
% 21.14/3.92 rat_0) = rat_81/20 & rat_$sum(rat_7/2, rat_81/20) = rat_151/20 &
% 21.14/3.92 rat_$sum(rat_7/2, rat_0) = rat_7/2 & rat_$sum(rat_0, rat_151/20) = rat_151/20
% 21.14/3.92 & rat_$sum(rat_0, rat_11/2) = rat_11/2 & rat_$sum(rat_0, rat_81/20) =
% 21.14/3.92 rat_81/20 & rat_$sum(rat_0, rat_7/2) = rat_7/2 & rat_$sum(rat_0, rat_0) =
% 21.14/3.92 rat_0 & rat_$greatereq(rat_very_small, rat_very_large) = 1 &
% 21.14/3.92 rat_$greatereq(rat_151/20, rat_151/20) = 0 & rat_$greatereq(rat_151/20,
% 21.14/3.92 rat_11/2) = 0 & rat_$greatereq(rat_151/20, rat_81/20) = 0 &
% 21.14/3.92 rat_$greatereq(rat_151/20, rat_7/2) = 0 & rat_$greatereq(rat_151/20, rat_0) =
% 21.14/3.92 0 & rat_$greatereq(rat_11/2, rat_151/20) = 1 & rat_$greatereq(rat_11/2,
% 21.14/3.92 rat_11/2) = 0 & rat_$greatereq(rat_11/2, rat_81/20) = 0 &
% 21.14/3.92 rat_$greatereq(rat_11/2, rat_7/2) = 0 & rat_$greatereq(rat_11/2, rat_0) = 0 &
% 21.14/3.92 rat_$greatereq(rat_81/20, rat_151/20) = 1 & rat_$greatereq(rat_81/20,
% 21.14/3.92 rat_11/2) = 1 & rat_$greatereq(rat_81/20, rat_81/20) = 0 &
% 21.14/3.92 rat_$greatereq(rat_81/20, rat_7/2) = 0 & rat_$greatereq(rat_81/20, rat_0) = 0
% 21.14/3.92 & rat_$greatereq(rat_7/2, rat_151/20) = 1 & rat_$greatereq(rat_7/2, rat_11/2)
% 21.14/3.92 = 1 & rat_$greatereq(rat_7/2, rat_81/20) = 1 & rat_$greatereq(rat_7/2,
% 21.14/3.92 rat_7/2) = 0 & rat_$greatereq(rat_7/2, rat_0) = 0 & rat_$greatereq(rat_0,
% 21.14/3.92 rat_151/20) = 1 & rat_$greatereq(rat_0, rat_11/2) = 1 &
% 21.14/3.92 rat_$greatereq(rat_0, rat_81/20) = 1 & rat_$greatereq(rat_0, rat_7/2) = 1 &
% 21.14/3.92 rat_$greatereq(rat_0, rat_0) = 0 & rat_$lesseq(rat_very_small, rat_very_large)
% 21.14/3.92 = 0 & rat_$lesseq(rat_151/20, rat_151/20) = 0 & rat_$lesseq(rat_151/20,
% 21.14/3.92 rat_11/2) = 1 & rat_$lesseq(rat_151/20, rat_81/20) = 1 &
% 21.14/3.92 rat_$lesseq(rat_151/20, rat_7/2) = 1 & rat_$lesseq(rat_151/20, rat_0) = 1 &
% 21.14/3.92 rat_$lesseq(rat_11/2, rat_151/20) = 0 & rat_$lesseq(rat_11/2, rat_11/2) = 0 &
% 21.14/3.92 rat_$lesseq(rat_11/2, rat_81/20) = 1 & rat_$lesseq(rat_11/2, rat_7/2) = 1 &
% 21.14/3.92 rat_$lesseq(rat_11/2, rat_0) = 1 & rat_$lesseq(rat_81/20, rat_151/20) = 0 &
% 21.14/3.92 rat_$lesseq(rat_81/20, rat_11/2) = 0 & rat_$lesseq(rat_81/20, rat_81/20) = 0 &
% 21.14/3.92 rat_$lesseq(rat_81/20, rat_7/2) = 1 & rat_$lesseq(rat_81/20, rat_0) = 1 &
% 21.14/3.92 rat_$lesseq(rat_7/2, rat_151/20) = 0 & rat_$lesseq(rat_7/2, rat_11/2) = 0 &
% 21.14/3.92 rat_$lesseq(rat_7/2, rat_81/20) = 0 & rat_$lesseq(rat_7/2, rat_7/2) = 0 &
% 21.14/3.92 rat_$lesseq(rat_7/2, rat_0) = 1 & rat_$lesseq(rat_0, rat_151/20) = 0 &
% 21.14/3.92 rat_$lesseq(rat_0, rat_11/2) = 0 & rat_$lesseq(rat_0, rat_81/20) = 0 &
% 21.14/3.93 rat_$lesseq(rat_0, rat_7/2) = 0 & rat_$lesseq(rat_0, rat_0) = 0 &
% 21.14/3.93 rat_$greater(rat_very_large, rat_151/20) = 0 & rat_$greater(rat_very_large,
% 21.14/3.93 rat_11/2) = 0 & rat_$greater(rat_very_large, rat_81/20) = 0 &
% 21.14/3.93 rat_$greater(rat_very_large, rat_7/2) = 0 & rat_$greater(rat_very_large,
% 21.14/3.93 rat_0) = 0 & rat_$greater(rat_very_small, rat_very_large) = 1 &
% 21.14/3.93 rat_$greater(rat_151/20, rat_very_small) = 0 & rat_$greater(rat_151/20,
% 21.14/3.93 rat_151/20) = 1 & rat_$greater(rat_151/20, rat_11/2) = 0 &
% 21.14/3.93 rat_$greater(rat_151/20, rat_81/20) = 0 & rat_$greater(rat_151/20, rat_7/2) =
% 21.14/3.93 0 & rat_$greater(rat_151/20, rat_0) = 0 & rat_$greater(rat_11/2,
% 21.14/3.93 rat_very_small) = 0 & rat_$greater(rat_11/2, rat_151/20) = 1 &
% 21.14/3.93 rat_$greater(rat_11/2, rat_11/2) = 1 & rat_$greater(rat_11/2, rat_81/20) = 0 &
% 21.14/3.93 rat_$greater(rat_11/2, rat_7/2) = 0 & rat_$greater(rat_11/2, rat_0) = 0 &
% 21.14/3.93 rat_$greater(rat_81/20, rat_very_small) = 0 & rat_$greater(rat_81/20,
% 21.14/3.93 rat_151/20) = 1 & rat_$greater(rat_81/20, rat_11/2) = 1 &
% 21.14/3.93 rat_$greater(rat_81/20, rat_81/20) = 1 & rat_$greater(rat_81/20, rat_7/2) = 0
% 21.14/3.93 & rat_$greater(rat_81/20, rat_0) = 0 & rat_$greater(rat_7/2, rat_very_small) =
% 21.14/3.93 0 & rat_$greater(rat_7/2, rat_151/20) = 1 & rat_$greater(rat_7/2, rat_11/2) =
% 21.14/3.93 1 & rat_$greater(rat_7/2, rat_81/20) = 1 & rat_$greater(rat_7/2, rat_7/2) = 1
% 21.14/3.93 & rat_$greater(rat_7/2, rat_0) = 0 & rat_$greater(rat_0, rat_very_small) = 0 &
% 21.14/3.93 rat_$greater(rat_0, rat_151/20) = 1 & rat_$greater(rat_0, rat_11/2) = 1 &
% 21.14/3.93 rat_$greater(rat_0, rat_81/20) = 1 & rat_$greater(rat_0, rat_7/2) = 1 &
% 21.14/3.93 rat_$greater(rat_0, rat_0) = 1 & rat_$less(rat_very_small, rat_very_large) = 0
% 21.14/3.93 & rat_$less(rat_very_small, rat_151/20) = 0 & rat_$less(rat_very_small,
% 21.14/3.93 rat_11/2) = 0 & rat_$less(rat_very_small, rat_81/20) = 0 &
% 21.14/3.93 rat_$less(rat_very_small, rat_7/2) = 0 & rat_$less(rat_very_small, rat_0) = 0
% 21.14/3.93 & rat_$less(rat_151/20, rat_very_large) = 0 & rat_$less(rat_151/20,
% 21.14/3.93 rat_151/20) = 1 & rat_$less(rat_151/20, rat_11/2) = 1 &
% 21.14/3.93 rat_$less(rat_151/20, rat_81/20) = 1 & rat_$less(rat_151/20, rat_7/2) = 1 &
% 21.14/3.93 rat_$less(rat_151/20, rat_0) = 1 & rat_$less(rat_11/2, rat_very_large) = 0 &
% 21.14/3.93 rat_$less(rat_11/2, rat_151/20) = 0 & rat_$less(rat_11/2, rat_11/2) = 1 &
% 21.14/3.93 rat_$less(rat_11/2, rat_81/20) = 1 & rat_$less(rat_11/2, rat_7/2) = 1 &
% 21.14/3.93 rat_$less(rat_11/2, rat_0) = 1 & rat_$less(rat_81/20, rat_very_large) = 0 &
% 21.14/3.93 rat_$less(rat_81/20, rat_151/20) = 0 & rat_$less(rat_81/20, rat_11/2) = 0 &
% 21.14/3.93 rat_$less(rat_81/20, rat_81/20) = 1 & rat_$less(rat_81/20, rat_7/2) = 1 &
% 21.14/3.93 rat_$less(rat_81/20, rat_0) = 1 & rat_$less(rat_7/2, rat_very_large) = 0 &
% 21.14/3.93 rat_$less(rat_7/2, rat_151/20) = 0 & rat_$less(rat_7/2, rat_11/2) = 0 &
% 21.14/3.93 rat_$less(rat_7/2, rat_81/20) = 0 & rat_$less(rat_7/2, rat_7/2) = 1 &
% 21.14/3.93 rat_$less(rat_7/2, rat_0) = 1 & rat_$less(rat_0, rat_very_large) = 0 &
% 21.14/3.93 rat_$less(rat_0, rat_151/20) = 0 & rat_$less(rat_0, rat_11/2) = 0 &
% 21.14/3.93 rat_$less(rat_0, rat_81/20) = 0 & rat_$less(rat_0, rat_7/2) = 0 &
% 21.14/3.93 rat_$less(rat_0, rat_0) = 1 & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] :
% 21.14/3.93 ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3, v0) = v4) | ~ (rat_$sum(v2,
% 21.14/3.93 v1) = v3) | ? [v5: $rat] : (rat_$sum(v2, v5) = v4 & rat_$sum(v1, v0) =
% 21.14/3.93 v5)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : (v3
% 21.14/3.93 = v1 | v0 = rat_0 | ~ (rat_$quotient(v2, v0) = v3) | ~ (rat_$product(v1,
% 21.14/3.93 v0) = v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3:
% 21.14/3.93 int] : (v3 = 0 | ~ (rat_$lesseq(v2, v0) = v3) | ~ (rat_$lesseq(v1, v0) =
% 21.14/3.93 0) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v2, v1) = v4)) & ! [v0:
% 21.14/3.93 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~
% 21.14/3.93 (rat_$lesseq(v1, v0) = 0) | ~ (rat_$less(v2, v0) = v3) | ? [v4: int] : ( ~
% 21.14/3.93 (v4 = 0) & rat_$less(v2, v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : !
% 21.14/3.93 [v2: $rat] : ! [v3: $rat] : ( ~ (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1, v2)
% 21.14/3.93 = v3) | rat_$difference(v1, v0) = v3) & ! [v0: $rat] : ! [v1: $rat] : !
% 21.14/3.93 [v2: $rat] : (v2 = rat_0 | ~ (rat_$uminus(v0) = v1) | ~ (rat_$sum(v0, v1) =
% 21.14/3.93 v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | ~
% 21.14/3.93 (rat_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 21.14/3.93 rat_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int]
% 21.14/3.93 : (v2 = 0 | ~ (rat_$lesseq(v1, v0) = v2) | ( ~ (v1 = v0) & ? [v3: int] : ( ~
% 21.14/3.93 (v3 = 0) & rat_$less(v1, v0) = v3))) & ! [v0: $rat] : ! [v1: $rat] :
% 21.14/3.93 ! [v2: int] : (v2 = 0 | ~ (rat_$greater(v0, v1) = v2) | ? [v3: int] : ( ~
% 21.14/3.93 (v3 = 0) & rat_$less(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : !
% 21.14/3.93 [v2: $rat] : ( ~ (rat_$product(v0, v1) = v2) | rat_$product(v1, v0) = v2) & !
% 21.14/3.93 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) |
% 21.14/3.93 rat_$sum(v1, v0) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~
% 21.14/3.93 (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v1, v0) = 0) | rat_$less(v2, v0) =
% 21.14/3.94 0) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) =
% 21.14/3.94 v1)) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$lesseq(v1, v0)
% 21.14/3.94 = 0) | rat_$less(v1, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~
% 21.14/3.94 (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) & ! [v0: $rat] : ! [v1:
% 21.14/3.94 $rat] : ( ~ (rat_$greatereq(v0, v1) = 0) | rat_$lesseq(v1, v0) = 0) & !
% 21.14/3.94 [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$greater(v0, v1) = 0) | rat_$less(v1,
% 21.14/3.94 v0) = 0) & ! [v0: $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) = v0))
% 21.14/3.94
% 21.14/3.94 Those formulas are unsatisfiable:
% 21.14/3.94 ---------------------------------
% 21.14/3.94
% 21.14/3.94 Begin of proof
% 21.14/3.94 |
% 21.48/3.94 | ALPHA: (input) implies:
% 21.48/3.94 | (1) ~ (rat_151/20 = rat_11/2)
% 21.48/3.94 |
% 21.48/3.94 | REDUCE: (1), (rat_sum_problem_11) imply:
% 21.48/3.94 | (2) $false
% 21.48/3.94 |
% 21.48/3.94 | CLOSE: (2) is inconsistent.
% 21.48/3.94 |
% 21.48/3.94 End of proof
% 21.48/3.94 % SZS output end Proof for theBenchmark
% 21.48/3.94
% 21.48/3.94 3458ms
%------------------------------------------------------------------------------