TSTP Solution File: ARI498_1 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ARI498_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 : n006.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 17:48:10 EDT 2023
% Result : Theorem 5.81s 1.47s
% Output : Proof 7.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ARI498_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 18:30:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.61 ________ _____
% 0.19/0.61 ___ __ \_________(_)________________________________
% 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61
% 0.19/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.62 (2023-06-19)
% 0.19/0.62
% 0.19/0.62 (c) Philipp Rümmer, 2009-2023
% 0.19/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.62 Amanda Stjerna.
% 0.19/0.62 Free software under BSD-3-Clause.
% 0.19/0.62
% 0.19/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.62
% 0.19/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.65/0.64 Running up to 7 provers in parallel.
% 0.65/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.65/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.65/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.65/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.65/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.65/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.65/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.51/0.92 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.51/0.92 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.51/0.92 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.51/0.92 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.51/0.92 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.51/0.92 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.51/0.92 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation
% 2.19/0.98 Prover 4: Preprocessing ...
% 2.19/0.98 Prover 1: Preprocessing ...
% 2.53/1.03 Prover 3: Preprocessing ...
% 2.53/1.03 Prover 5: Preprocessing ...
% 2.53/1.03 Prover 6: Preprocessing ...
% 2.53/1.03 Prover 2: Preprocessing ...
% 2.53/1.03 Prover 0: Preprocessing ...
% 5.13/1.43 Prover 6: Constructing countermodel ...
% 5.13/1.44 Prover 2: Constructing countermodel ...
% 5.64/1.45 Prover 5: Constructing countermodel ...
% 5.64/1.47 Prover 6: proved (815ms)
% 5.64/1.47 Prover 5: proved (816ms)
% 5.81/1.47
% 5.81/1.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.81/1.47
% 5.81/1.47
% 5.81/1.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.81/1.47
% 5.81/1.47 Prover 2: proved (820ms)
% 5.81/1.47
% 5.81/1.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.81/1.47
% 5.81/1.48 Prover 0: Constructing countermodel ...
% 5.81/1.48 Prover 0: stopped
% 5.81/1.48 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.81/1.48 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.81/1.48 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.81/1.48 Prover 1: Constructing countermodel ...
% 5.81/1.48 Prover 7: Warning: Problem contains rationals, using incomplete axiomatisation
% 5.81/1.48 Prover 10: Warning: Problem contains rationals, using incomplete axiomatisation
% 5.81/1.48 Prover 8: Warning: Problem contains rationals, using incomplete axiomatisation
% 5.81/1.49 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.81/1.49 Prover 8: Preprocessing ...
% 5.81/1.49 Prover 3: Constructing countermodel ...
% 5.81/1.50 Prover 3: stopped
% 5.81/1.50 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 5.81/1.50 Prover 11: Warning: Problem contains rationals, using incomplete axiomatisation
% 5.81/1.50 Prover 13: Warning: Problem contains rationals, using incomplete axiomatisation
% 5.81/1.51 Prover 13: Preprocessing ...
% 5.81/1.51 Prover 7: Preprocessing ...
% 5.81/1.51 Prover 10: Preprocessing ...
% 5.81/1.52 Prover 4: Constructing countermodel ...
% 6.15/1.53 Prover 11: Preprocessing ...
% 6.34/1.62 Prover 13: Warning: ignoring some quantifiers
% 6.95/1.63 Prover 13: Constructing countermodel ...
% 6.95/1.63 Prover 8: Warning: ignoring some quantifiers
% 6.95/1.64 Prover 8: Constructing countermodel ...
% 6.95/1.66 Prover 13: Found proof (size 3)
% 6.95/1.66 Prover 13: proved (165ms)
% 6.95/1.66 Prover 4: Found proof (size 4)
% 6.95/1.66 Prover 4: proved (1017ms)
% 6.95/1.66 Prover 1: Found proof (size 4)
% 6.95/1.66 Prover 1: proved (1019ms)
% 6.95/1.66 Prover 8: stopped
% 7.29/1.69 Prover 10: Warning: ignoring some quantifiers
% 7.29/1.70 Prover 10: Constructing countermodel ...
% 7.29/1.71 Prover 10: stopped
% 7.29/1.72 Prover 7: Warning: ignoring some quantifiers
% 7.29/1.73 Prover 7: Constructing countermodel ...
% 7.29/1.74 Prover 7: stopped
% 7.84/1.78 Prover 11: Constructing countermodel ...
% 7.84/1.79 Prover 11: stopped
% 7.84/1.79
% 7.84/1.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.84/1.79
% 7.84/1.79 % SZS output start Proof for theBenchmark
% 7.84/1.80 Assumptions after simplification:
% 7.84/1.80 ---------------------------------
% 7.84/1.80
% 7.84/1.80 (mixed_types_problem_3)
% 7.84/1.80 rat_$is_int(rat_7/12)
% 7.84/1.80
% 7.84/1.80 (input)
% 7.84/1.84 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_7/12) & ~
% 7.84/1.84 (rat_very_large = rat_0) & ~ (rat_very_small = rat_7/12) & ~ (rat_very_small
% 7.84/1.84 = rat_0) & ~ (rat_7/12 = rat_0) & int_$to_rat(0) = rat_0 &
% 7.84/1.84 rat_$to_real(rat_7/12) = real_7/12 & rat_$to_real(rat_0) = real_0 &
% 7.84/1.84 rat_$to_rat(rat_7/12) = rat_7/12 & rat_$to_rat(rat_0) = rat_0 &
% 7.84/1.84 rat_$to_int(rat_7/12) = 0 & rat_$to_int(rat_0) = 0 & rat_$round(rat_0) = rat_0
% 7.84/1.84 & rat_$truncate(rat_7/12) = rat_0 & rat_$truncate(rat_0) = rat_0 &
% 7.84/1.84 rat_$ceiling(rat_0) = rat_0 & rat_$floor(rat_7/12) = rat_0 & rat_$floor(rat_0)
% 7.84/1.84 = rat_0 & rat_$quotient(rat_0, rat_7/12) = rat_0 & rat_$product(rat_7/12,
% 7.84/1.84 rat_0) = rat_0 & rat_$product(rat_0, rat_7/12) = rat_0 & rat_$product(rat_0,
% 7.84/1.84 rat_0) = rat_0 & rat_$difference(rat_7/12, rat_7/12) = rat_0 &
% 7.84/1.84 rat_$difference(rat_7/12, rat_0) = rat_7/12 & rat_$difference(rat_0, rat_0) =
% 7.84/1.84 rat_0 & rat_$uminus(rat_0) = rat_0 & rat_$sum(rat_7/12, rat_0) = rat_7/12 &
% 7.84/1.84 rat_$sum(rat_0, rat_7/12) = rat_7/12 & rat_$sum(rat_0, rat_0) = rat_0 &
% 7.84/1.84 rat_$is_rat(rat_7/12) & rat_$is_rat(rat_0) & rat_$is_int(rat_0) &
% 7.84/1.84 rat_$greatereq(rat_7/12, rat_7/12) & rat_$greatereq(rat_7/12, rat_0) &
% 7.84/1.84 rat_$greatereq(rat_0, rat_0) & rat_$greater(rat_very_large, rat_7/12) &
% 7.84/1.84 rat_$greater(rat_very_large, rat_0) & rat_$greater(rat_7/12, rat_very_small) &
% 7.84/1.84 rat_$greater(rat_7/12, rat_0) & rat_$greater(rat_0, rat_very_small) &
% 7.84/1.84 rat_$lesseq(rat_very_small, rat_very_large) & rat_$lesseq(rat_7/12, rat_7/12)
% 7.84/1.84 & rat_$lesseq(rat_0, rat_7/12) & rat_$lesseq(rat_0, rat_0) &
% 7.84/1.84 rat_$less(rat_very_small, rat_very_large) & rat_$less(rat_very_small,
% 7.84/1.84 rat_7/12) & rat_$less(rat_very_small, rat_0) & rat_$less(rat_7/12,
% 7.84/1.84 rat_very_large) & rat_$less(rat_0, rat_very_large) & rat_$less(rat_0,
% 7.84/1.84 rat_7/12) & ~ rat_$is_int(rat_7/12) & ~ rat_$greatereq(rat_very_small,
% 7.84/1.84 rat_very_large) & ~ rat_$greatereq(rat_0, rat_7/12) & ~
% 7.84/1.84 rat_$greater(rat_very_small, rat_very_large) & ~ rat_$greater(rat_7/12,
% 7.84/1.84 rat_7/12) & ~ rat_$greater(rat_0, rat_7/12) & ~ rat_$greater(rat_0, rat_0)
% 7.84/1.84 & ~ rat_$lesseq(rat_7/12, rat_0) & ~ rat_$less(rat_7/12, rat_7/12) & ~
% 7.84/1.84 rat_$less(rat_7/12, rat_0) & ~ rat_$less(rat_0, rat_0) & ! [v0: $rat] : !
% 7.84/1.85 [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3,
% 7.84/1.85 v0) = v4) | ~ (rat_$sum(v2, v1) = v3) | ? [v5: $rat] : (rat_$sum(v2,
% 7.84/1.85 v5) = v4 & rat_$sum(v1, v0) = v5)) & ! [v0: $rat] : ! [v1: $rat] : !
% 7.84/1.85 [v2: $rat] : ! [v3: $rat] : (v3 = v1 | v0 = rat_0 | ~ (rat_$quotient(v2, v0)
% 7.84/1.85 = v3) | ~ (rat_$product(v1, v0) = v2)) & ! [v0: $rat] : ! [v1: $rat] :
% 7.84/1.85 ! [v2: $rat] : ! [v3: $rat] : ( ~ (rat_$uminus(v0) = v2) | ~ (rat_$sum(v1,
% 7.84/1.85 v2) = v3) | rat_$difference(v1, v0) = v3) & ! [v0: $rat] : ! [v1:
% 7.84/1.85 $rat] : ! [v2: $rat] : (v2 = rat_0 | ~ (rat_$uminus(v0) = v1) | ~
% 7.84/1.85 (rat_$sum(v0, v1) = v2)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : (
% 7.84/1.85 ~ (rat_$product(v0, v1) = v2) | rat_$product(v1, v0) = v2) & ! [v0: $rat] :
% 7.84/1.85 ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v0, v1) = v2) | rat_$sum(v1, v0)
% 7.84/1.85 = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ rat_$lesseq(v2,
% 7.84/1.85 v1) | ~ rat_$lesseq(v1, v0) | rat_$lesseq(v2, v0)) & ! [v0: $rat] : !
% 7.84/1.85 [v1: $rat] : ! [v2: $rat] : ( ~ rat_$lesseq(v2, v1) | ~ rat_$less(v1, v0) |
% 7.84/1.85 rat_$less(v2, v0)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~
% 7.84/1.85 rat_$lesseq(v1, v0) | ~ rat_$less(v2, v1) | rat_$less(v2, v0)) & ! [v0:
% 7.84/1.85 $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) = v1)) & ! [v0:
% 7.84/1.85 $rat] : ! [v1: $rat] : (v1 = v0 | ~ rat_$lesseq(v1, v0) | rat_$less(v1,
% 7.84/1.85 v0)) & ! [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$uminus(v0) = v1) |
% 7.84/1.85 rat_$uminus(v1) = v0) & ! [v0: $rat] : ! [v1: $rat] : ( ~
% 7.84/1.85 rat_$greatereq(v0, v1) | rat_$lesseq(v1, v0)) & ! [v0: $rat] : ! [v1:
% 7.84/1.85 $rat] : ( ~ rat_$greater(v0, v1) | rat_$less(v1, v0)) & ! [v0: $rat] : !
% 7.84/1.85 [v1: $rat] : ( ~ rat_$lesseq(v1, v0) | rat_$greatereq(v0, v1)) & ! [v0: $rat]
% 7.84/1.85 : ! [v1: $rat] : ( ~ rat_$less(v1, v0) | rat_$greater(v0, v1)) & ! [v0:
% 7.84/1.85 $rat] : ! [v1: $rat] : ( ~ rat_$less(v1, v0) | rat_$lesseq(v1, v0)) & !
% 7.84/1.85 [v0: $rat] : (v0 = rat_0 | ~ (rat_$uminus(v0) = v0)) & ? [v0: $rat] : ?
% 7.84/1.85 [v1: $rat] : ? [v2: $rat] : ? [v3: $rat] : ? [v4: $rat] : ? [v5: $rat] :
% 7.84/1.85 (rat_$sum(v5, v0) = v4 & rat_$sum(v2, v3) = v4 & rat_$sum(v2, v1) = v5 &
% 7.84/1.85 rat_$sum(v1, v0) = v3) & ? [v0: $rat] : ? [v1: $rat] : ? [v2: $rat] : ?
% 7.84/1.85 [v3: $rat] : (rat_$difference(v1, v0) = v3 & rat_$uminus(v0) = v2 &
% 7.84/1.85 rat_$sum(v1, v2) = v3) & ? [v0: $rat] : ? [v1: $rat] : ? [v2: $rat] :
% 7.84/1.85 (rat_$product(v1, v0) = v2 & rat_$product(v0, v1) = v2) & ? [v0: $rat] : ?
% 7.84/1.85 [v1: $rat] : (v0 = rat_0 | ? [v2: $rat] : (rat_$quotient(v2, v0) = v1 &
% 7.84/1.85 rat_$product(v1, v0) = v2)) & ? [v0: $rat] : rat_$lesseq(v0, v0)
% 7.84/1.85
% 7.84/1.85 Those formulas are unsatisfiable:
% 7.84/1.85 ---------------------------------
% 7.84/1.85
% 7.84/1.85 Begin of proof
% 7.84/1.85 |
% 7.84/1.85 | ALPHA: (input) implies:
% 7.84/1.85 | (1) ~ rat_$is_int(rat_7/12)
% 7.84/1.85 |
% 7.84/1.85 | PRED_UNIFY: (1), (mixed_types_problem_3) imply:
% 7.84/1.85 | (2) $false
% 7.84/1.85 |
% 7.84/1.85 | CLOSE: (2) is inconsistent.
% 7.84/1.85 |
% 7.84/1.85 End of proof
% 7.84/1.85 % SZS output end Proof for theBenchmark
% 7.84/1.85
% 7.84/1.85 1235ms
%------------------------------------------------------------------------------