TSTP Solution File: ARI234_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ARI234_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 : n005.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 17:47:22 EDT 2023
% Result : Theorem 7.29s 1.68s
% Output : Proof 7.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI234_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 18:14:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.63 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.38/0.89 Prover 1: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.38/0.89 Prover 4: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.38/0.89 Prover 5: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.38/0.89 Prover 2: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.38/0.89 Prover 0: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.38/0.89 Prover 6: Warning: Problem contains rationals, using incomplete axiomatisation
% 1.38/0.89 Prover 3: Warning: Problem contains rationals, using incomplete axiomatisation
% 2.27/0.99 Prover 1: Preprocessing ...
% 2.27/1.00 Prover 4: Preprocessing ...
% 2.27/1.04 Prover 5: Preprocessing ...
% 2.27/1.04 Prover 2: Preprocessing ...
% 2.27/1.04 Prover 6: Preprocessing ...
% 2.27/1.04 Prover 3: Preprocessing ...
% 2.27/1.04 Prover 0: Preprocessing ...
% 5.45/1.47 Prover 1: Constructing countermodel ...
% 5.45/1.49 Prover 6: Proving ...
% 6.05/1.56 Prover 3: Constructing countermodel ...
% 6.05/1.56 Prover 4: Constructing countermodel ...
% 6.54/1.60 Prover 0: Proving ...
% 6.54/1.63 Prover 5: Proving ...
% 6.54/1.64 Prover 2: Proving ...
% 7.16/1.68 Prover 1: Found proof (size 3)
% 7.16/1.68 Prover 4: Found proof (size 3)
% 7.16/1.68 Prover 1: proved (1045ms)
% 7.16/1.68 Prover 4: proved (1043ms)
% 7.16/1.68 Prover 3: stopped
% 7.16/1.68 Prover 5: stopped
% 7.29/1.68 Prover 6: stopped
% 7.29/1.68 Prover 2: stopped
% 7.29/1.68 Prover 0: stopped
% 7.29/1.68
% 7.29/1.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.29/1.68
% 7.29/1.69 % SZS output start Proof for theBenchmark
% 7.29/1.69 Assumptions after simplification:
% 7.29/1.69 ---------------------------------
% 7.29/1.69
% 7.29/1.69 (rat_greatereq_problem_5)
% 7.45/1.72 ! [v0: $rat] : ~ (rat_$greatereq(v0, rat_3/16) = 0)
% 7.45/1.72
% 7.45/1.72 (input)
% 7.52/1.75 ~ (rat_very_large = rat_very_small) & ~ (rat_very_large = rat_3/16) & ~
% 7.52/1.75 (rat_very_large = rat_0) & ~ (rat_very_small = rat_3/16) & ~ (rat_very_small
% 7.52/1.75 = rat_0) & ~ (rat_3/16 = rat_0) & rat_$is_int(rat_3/16) = 1 &
% 7.52/1.75 rat_$is_int(rat_0) = 0 & rat_$is_rat(rat_3/16) = 0 & rat_$is_rat(rat_0) = 0 &
% 7.52/1.75 rat_$floor(rat_3/16) = rat_0 & rat_$floor(rat_0) = rat_0 & rat_$ceiling(rat_0)
% 7.52/1.75 = rat_0 & rat_$truncate(rat_3/16) = rat_0 & rat_$truncate(rat_0) = rat_0 &
% 7.52/1.75 rat_$round(rat_3/16) = rat_0 & rat_$round(rat_0) = rat_0 &
% 7.52/1.75 rat_$to_int(rat_3/16) = 0 & rat_$to_int(rat_0) = 0 & rat_$to_rat(rat_3/16) =
% 7.52/1.75 rat_3/16 & rat_$to_rat(rat_0) = rat_0 & rat_$to_real(rat_3/16) = real_3/16 &
% 7.52/1.75 rat_$to_real(rat_0) = real_0 & int_$to_rat(0) = rat_0 & rat_$quotient(rat_0,
% 7.52/1.75 rat_3/16) = rat_0 & rat_$product(rat_3/16, rat_0) = rat_0 &
% 7.52/1.75 rat_$product(rat_0, rat_3/16) = rat_0 & rat_$product(rat_0, rat_0) = rat_0 &
% 7.52/1.75 rat_$difference(rat_3/16, rat_3/16) = rat_0 & rat_$difference(rat_3/16, rat_0)
% 7.52/1.75 = rat_3/16 & rat_$difference(rat_0, rat_0) = rat_0 & rat_$uminus(rat_0) =
% 7.52/1.75 rat_0 & rat_$sum(rat_3/16, rat_0) = rat_3/16 & rat_$sum(rat_0, rat_3/16) =
% 7.52/1.75 rat_3/16 & rat_$sum(rat_0, rat_0) = rat_0 & rat_$lesseq(rat_very_small,
% 7.52/1.75 rat_very_large) = 0 & rat_$lesseq(rat_3/16, rat_3/16) = 0 &
% 7.52/1.75 rat_$lesseq(rat_3/16, rat_0) = 1 & rat_$lesseq(rat_0, rat_3/16) = 0 &
% 7.52/1.75 rat_$lesseq(rat_0, rat_0) = 0 & rat_$greater(rat_very_large, rat_3/16) = 0 &
% 7.52/1.75 rat_$greater(rat_very_large, rat_0) = 0 & rat_$greater(rat_very_small,
% 7.52/1.75 rat_very_large) = 1 & rat_$greater(rat_3/16, rat_very_small) = 0 &
% 7.52/1.75 rat_$greater(rat_3/16, rat_3/16) = 1 & rat_$greater(rat_3/16, rat_0) = 0 &
% 7.52/1.75 rat_$greater(rat_0, rat_very_small) = 0 & rat_$greater(rat_0, rat_3/16) = 1 &
% 7.52/1.75 rat_$greater(rat_0, rat_0) = 1 & rat_$less(rat_very_small, rat_very_large) = 0
% 7.52/1.75 & rat_$less(rat_very_small, rat_3/16) = 0 & rat_$less(rat_very_small, rat_0) =
% 7.52/1.75 0 & rat_$less(rat_3/16, rat_very_large) = 0 & rat_$less(rat_3/16, rat_3/16) =
% 7.52/1.75 1 & rat_$less(rat_3/16, rat_0) = 1 & rat_$less(rat_0, rat_very_large) = 0 &
% 7.52/1.75 rat_$less(rat_0, rat_3/16) = 0 & rat_$less(rat_0, rat_0) = 1 &
% 7.52/1.75 rat_$greatereq(rat_very_small, rat_very_large) = 1 & rat_$greatereq(rat_3/16,
% 7.52/1.75 rat_3/16) = 0 & rat_$greatereq(rat_3/16, rat_0) = 0 & rat_$greatereq(rat_0,
% 7.52/1.75 rat_3/16) = 1 & rat_$greatereq(rat_0, rat_0) = 0 & ! [v0: $rat] : ! [v1:
% 7.52/1.75 $rat] : ! [v2: $rat] : ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v3,
% 7.52/1.75 v0) = v4) | ~ (rat_$sum(v2, v1) = v3) | ? [v5: $rat] : (rat_$sum(v2,
% 7.52/1.75 v5) = v4 & rat_$sum(v1, v0) = v5)) & ! [v0: $rat] : ! [v1: $rat] : !
% 7.52/1.75 [v2: $rat] : ! [v3: $rat] : ! [v4: $rat] : ( ~ (rat_$sum(v2, v3) = v4) | ~
% 7.52/1.75 (rat_$sum(v1, v0) = v3) | ? [v5: $rat] : (rat_$sum(v5, v0) = v4 &
% 7.52/1.75 rat_$sum(v2, v1) = v5)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] :
% 7.52/1.75 ! [v3: int] : (v3 = 0 | ~ (rat_$lesseq(v2, v1) = 0) | ~ (rat_$lesseq(v2, v0)
% 7.52/1.75 = v3) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v1, v0) = v4)) & ! [v0:
% 7.52/1.75 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~
% 7.52/1.75 (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v2, v0) = v3) | ? [v4: int] : ( ~
% 7.52/1.75 (v4 = 0) & rat_$less(v1, v0) = v4)) & ! [v0: $rat] : ! [v1: $rat] : !
% 7.52/1.75 [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ (rat_$lesseq(v2, v0) = v3) | ~
% 7.52/1.75 (rat_$lesseq(v1, v0) = 0) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v2,
% 7.52/1.75 v1) = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3:
% 7.52/1.75 int] : (v3 = 0 | ~ (rat_$lesseq(v1, v0) = 0) | ~ (rat_$less(v2, v0) = v3)
% 7.52/1.75 | ? [v4: int] : ( ~ (v4 = 0) & rat_$less(v2, v1) = v4)) & ! [v0: $rat] :
% 7.52/1.75 ! [v1: $rat] : ! [v2: $rat] : ! [v3: int] : (v3 = 0 | ~ (rat_$less(v2, v1)
% 7.52/1.75 = 0) | ~ (rat_$less(v2, v0) = v3) | ? [v4: int] : ( ~ (v4 = 0) &
% 7.52/1.75 rat_$lesseq(v1, v0) = v4)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat]
% 7.52/1.75 : ! [v3: int] : (v3 = 0 | ~ (rat_$less(v2, v0) = v3) | ~ (rat_$less(v1, v0)
% 7.52/1.75 = 0) | ? [v4: int] : ( ~ (v4 = 0) & rat_$lesseq(v2, v1) = v4)) & ! [v0:
% 7.52/1.75 $rat] : ! [v1: $rat] : ! [v2: $rat] : ! [v3: $rat] : ( ~ (rat_$uminus(v0)
% 7.52/1.75 = v2) | ~ (rat_$sum(v1, v2) = v3) | rat_$difference(v1, v0) = v3) & !
% 7.52/1.75 [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~
% 7.52/1.75 (rat_$less(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) & rat_$lesseq(v1, v0)
% 7.52/1.75 = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | ~
% 7.52/1.75 (rat_$lesseq(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) & rat_$less(v1, v0)
% 7.52/1.75 = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int] : (v2 = 0 | ~
% 7.52/1.75 (rat_$lesseq(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 7.52/1.75 rat_$greatereq(v0, v1) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2:
% 7.52/1.75 int] : (v2 = 0 | ~ (rat_$greater(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 =
% 7.52/1.75 0) & rat_$less(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2:
% 7.52/1.75 int] : (v2 = 0 | ~ (rat_$less(v1, v0) = v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 7.52/1.75 rat_$greater(v0, v1) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: int]
% 7.52/1.75 : (v2 = 0 | ~ (rat_$greatereq(v0, v1) = v2) | ? [v3: int] : ( ~ (v3 = 0) &
% 7.52/1.75 rat_$lesseq(v1, v0) = v3)) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat]
% 7.52/1.75 : (v0 = rat_0 | ~ (rat_$product(v1, v0) = v2) | rat_$quotient(v2, v0) = v1) &
% 7.52/1.75 ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$product(v1, v0) =
% 7.52/1.75 v2) | rat_$product(v0, v1) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2:
% 7.52/1.75 $rat] : ( ~ (rat_$product(v0, v1) = v2) | rat_$product(v1, v0) = v2) & !
% 7.52/1.75 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$difference(v1, v0) =
% 7.52/1.75 v2) | ? [v3: $rat] : (rat_$uminus(v0) = v3 & rat_$sum(v1, v3) = v2)) & !
% 7.52/1.75 [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~ (rat_$sum(v1, v0) = v2) |
% 7.52/1.75 rat_$sum(v0, v1) = v2) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~
% 7.52/1.75 (rat_$sum(v0, v1) = v2) | rat_$sum(v1, v0) = v2) & ! [v0: $rat] : ! [v1:
% 7.52/1.75 $rat] : ! [v2: $rat] : ( ~ (rat_$lesseq(v2, v1) = 0) | ~ (rat_$lesseq(v1,
% 7.52/1.75 v0) = 0) | rat_$lesseq(v2, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : !
% 7.52/1.75 [v2: $rat] : ( ~ (rat_$lesseq(v2, v1) = 0) | ~ (rat_$less(v1, v0) = 0) |
% 7.52/1.75 rat_$less(v2, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ! [v2: $rat] : ( ~
% 7.52/1.75 (rat_$lesseq(v1, v0) = 0) | ~ (rat_$less(v2, v1) = 0) | rat_$less(v2, v0) =
% 7.52/1.75 0) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$sum(v0, rat_0) =
% 7.52/1.75 v1)) & ! [v0: $rat] : ! [v1: $rat] : (v1 = v0 | ~ (rat_$lesseq(v1, v0)
% 7.52/1.75 = 0) | rat_$less(v1, v0) = 0) & ! [v0: $rat] : ! [v1: int] : (v1 = 0 |
% 7.52/1.75 ~ (rat_$lesseq(v0, v0) = v1)) & ! [v0: $rat] : ! [v1: $rat] : ( ~
% 7.52/1.75 (rat_$uminus(v0) = v1) | rat_$uminus(v1) = v0) & ! [v0: $rat] : ! [v1:
% 7.52/1.75 $rat] : ( ~ (rat_$uminus(v0) = v1) | rat_$sum(v0, v1) = rat_0) & ! [v0:
% 7.52/1.75 $rat] : ! [v1: $rat] : ( ~ (rat_$lesseq(v1, v0) = 0) | rat_$greatereq(v0,
% 7.52/1.75 v1) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~ (rat_$greater(v0, v1) = 0)
% 7.52/1.75 | rat_$less(v1, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~
% 7.52/1.75 (rat_$less(v1, v0) = 0) | rat_$lesseq(v1, v0) = 0) & ! [v0: $rat] : ! [v1:
% 7.52/1.75 $rat] : ( ~ (rat_$less(v1, v0) = 0) | rat_$greater(v0, v1) = 0) & ! [v0:
% 7.52/1.75 $rat] : ! [v1: MultipleValueBool] : ( ~ (rat_$less(v0, v0) = v1) |
% 7.52/1.75 rat_$lesseq(v0, v0) = 0) & ! [v0: $rat] : ! [v1: $rat] : ( ~
% 7.52/1.75 (rat_$greatereq(v0, v1) = 0) | rat_$lesseq(v1, v0) = 0) & ! [v0: $rat] :
% 7.52/1.75 (v0 = rat_0 | ~ (rat_$uminus(v0) = v0))
% 7.52/1.75
% 7.52/1.75 Those formulas are unsatisfiable:
% 7.52/1.75 ---------------------------------
% 7.52/1.75
% 7.52/1.75 Begin of proof
% 7.52/1.75 |
% 7.52/1.75 | ALPHA: (input) implies:
% 7.52/1.76 | (1) rat_$greatereq(rat_3/16, rat_3/16) = 0
% 7.52/1.76 |
% 7.52/1.76 | GROUND_INST: instantiating (rat_greatereq_problem_5) with rat_3/16,
% 7.52/1.76 | simplifying with (1) gives:
% 7.52/1.76 | (2) $false
% 7.52/1.76 |
% 7.52/1.76 | CLOSE: (2) is inconsistent.
% 7.52/1.76 |
% 7.52/1.76 End of proof
% 7.52/1.76 % SZS output end Proof for theBenchmark
% 7.52/1.76
% 7.52/1.76 1144ms
%------------------------------------------------------------------------------