%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : KRS169+1 : TPTP v8.1.2. Released v3.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n031.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 05:51:31 EDT 2023 % Result : Theorem 3.82s 1.27s % Output : Proof 6.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS169+1 : TPTP v8.1.2. Released v3.1.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n031.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 : Mon Aug 28 02:11:54 EDT 2023 % 0.12/0.34 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.07/0.94 Prover 4: Preprocessing ... % 2.07/0.94 Prover 1: Preprocessing ... % 2.07/0.99 Prover 3: Preprocessing ... % 2.07/0.99 Prover 2: Preprocessing ... % 2.07/0.99 Prover 6: Preprocessing ... % 2.07/0.99 Prover 0: Preprocessing ... % 2.07/0.99 Prover 5: Preprocessing ... % 2.97/1.09 Prover 5: Proving ... % 2.97/1.10 Prover 2: Proving ... % 2.97/1.14 Prover 4: Constructing countermodel ... % 2.97/1.14 Prover 6: Constructing countermodel ... % 2.97/1.14 Prover 1: Constructing countermodel ... % 2.97/1.14 Prover 3: Constructing countermodel ... % 3.53/1.17 Prover 0: Proving ... % 3.82/1.26 Prover 3: proved (635ms) % 3.82/1.27 % 3.82/1.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 3.82/1.27 % 3.82/1.27 Prover 6: stopped % 3.82/1.27 Prover 2: stopped % 3.82/1.29 Prover 5: stopped % 3.82/1.29 Prover 0: stopped % 3.82/1.29 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 3.82/1.29 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 3.82/1.29 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 3.82/1.29 Prover 8: Preprocessing ... % 3.82/1.29 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 3.82/1.29 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 3.82/1.31 Prover 7: Preprocessing ... % 3.82/1.31 Prover 13: Preprocessing ... % 3.82/1.32 Prover 11: Preprocessing ... % 3.82/1.33 Prover 7: Warning: ignoring some quantifiers % 3.82/1.34 Prover 10: Preprocessing ... % 3.82/1.34 Prover 7: Constructing countermodel ... % 4.50/1.35 Prover 13: Warning: ignoring some quantifiers % 4.50/1.35 Prover 13: Constructing countermodel ... % 4.50/1.35 Prover 10: Warning: ignoring some quantifiers % 4.50/1.36 Prover 10: Constructing countermodel ... % 4.50/1.39 Prover 8: Warning: ignoring some quantifiers % 4.50/1.39 Prover 8: Constructing countermodel ... % 4.50/1.40 Prover 10: gave up % 4.50/1.40 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 4.50/1.41 Prover 16: Preprocessing ... % 4.50/1.41 Prover 11: Constructing countermodel ... % 4.50/1.42 Prover 13: gave up % 4.50/1.43 Prover 16: Warning: ignoring some quantifiers % 4.50/1.43 Prover 1: Found proof (size 53) % 4.50/1.43 Prover 1: proved (806ms) % 4.50/1.43 Prover 16: Constructing countermodel ... % 4.50/1.43 Prover 7: stopped % 5.28/1.44 Prover 4: stopped % 5.28/1.44 Prover 8: stopped % 5.28/1.44 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 5.28/1.44 Prover 16: stopped % 5.28/1.44 Prover 11: stopped % 5.28/1.45 Prover 19: Preprocessing ... % 5.28/1.49 Prover 19: Warning: ignoring some quantifiers % 5.57/1.49 Prover 19: Constructing countermodel ... % 5.57/1.50 Prover 19: stopped % 5.57/1.50 % 5.57/1.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 5.57/1.50 % 5.57/1.51 % SZS output start Proof for theBenchmark % 5.57/1.51 Assumptions after simplification: % 5.57/1.51 --------------------------------- % 5.57/1.51 % 5.57/1.51 (axiom_0) % 5.57/1.54 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ $i(v0)) & % 5.57/1.54 ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 5.57/1.54 % 5.57/1.54 (axiom_1) % 5.57/1.54 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ $i(v0) | % 5.57/1.54 xsd_integer(v0) = 0) & ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | % 5.57/1.54 ? [v1: int] : ( ~ (v1 = 0) & xsd_integer(v0) = v1)) % 5.57/1.54 % 5.57/1.54 (axiom_2) % 5.57/1.54 cowlThing(iX) = 0 & $i(iX) % 5.57/1.54 % 5.57/1.54 (axiom_3) % 5.57/1.55 rhasLeader(iX, iY) = 0 & $i(iY) & $i(iX) % 5.57/1.55 % 5.57/1.55 (axiom_4) % 5.57/1.55 cowlThing(iY) = 0 & $i(iY) % 5.57/1.55 % 5.57/1.55 (axiom_5) % 5.57/1.55 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (rhasLeader(v0, v1) = % 5.57/1.55 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & rhasHead(v0, % 5.57/1.55 v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ (rhasLeader(v0, v1) = 0) | % 5.57/1.55 ~ $i(v1) | ~ $i(v0) | rhasHead(v0, v1) = 0) % 5.57/1.55 % 5.57/1.55 (the_axiom) % 5.57/1.55 $i(iY) & $i(iX) & ? [v0: any] : ? [v1: any] : ? [v2: any] : (rhasHead(iX, % 5.57/1.55 iY) = v1 & cowlThing(iY) = v2 & cowlThing(iX) = v0 & ( ~ (v2 = 0) | ~ (v1 % 5.57/1.55 = 0) | ~ (v0 = 0) | ? [v3: $i] : ? [v4: any] : ? [v5: any] : % 5.57/1.55 (xsd_string(v3) = v4 & xsd_integer(v3) = v5 & $i(v3) & ((v5 = 0 & v4 = 0) % 5.57/1.55 | ( ~ (v5 = 0) & ~ (v4 = 0)))) | ? [v3: $i] : ? [v4: any] : ? [v5: % 5.57/1.55 any] : (cowlNothing(v3) = v5 & cowlThing(v3) = v4 & $i(v3) & ( ~ (v4 = % 5.57/1.55 0) | v5 = 0)))) % 5.57/1.55 % 5.57/1.55 (function-axioms) % 5.87/1.56 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 5.87/1.56 [v3: $i] : (v1 = v0 | ~ (rhasHead(v3, v2) = v1) | ~ (rhasHead(v3, v2) = v0)) % 5.87/1.56 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 5.87/1.56 [v3: $i] : (v1 = v0 | ~ (rhasLeader(v3, v2) = v1) | ~ (rhasLeader(v3, v2) = % 5.87/1.56 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 5.87/1.56 $i] : (v1 = v0 | ~ (xsd_string(v2) = v1) | ~ (xsd_string(v2) = v0)) & ! % 5.87/1.56 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 5.89/1.56 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) & ! [v0: % 5.89/1.56 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 5.89/1.56 ~ (cowlNothing(v2) = v1) | ~ (cowlNothing(v2) = v0)) & ! [v0: % 5.89/1.56 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 5.89/1.56 ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) % 5.89/1.56 % 5.89/1.56 Those formulas are unsatisfiable: % 5.89/1.56 --------------------------------- % 5.89/1.56 % 5.89/1.56 Begin of proof % 5.89/1.56 | % 5.89/1.56 | ALPHA: (axiom_0) implies: % 5.89/1.56 | (1) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0)) % 5.89/1.56 | (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ % 5.89/1.56 | $i(v0)) % 5.89/1.56 | % 5.89/1.56 | ALPHA: (axiom_1) implies: % 5.89/1.56 | (3) ! [v0: $i] : ( ~ (xsd_string(v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ % 5.89/1.56 | (v1 = 0) & xsd_integer(v0) = v1)) % 5.89/1.57 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (xsd_string(v0) = v1) | ~ % 5.89/1.57 | $i(v0) | xsd_integer(v0) = 0) % 5.89/1.57 | % 5.89/1.57 | ALPHA: (axiom_2) implies: % 5.89/1.57 | (5) cowlThing(iX) = 0 % 5.89/1.57 | % 5.89/1.57 | ALPHA: (axiom_3) implies: % 5.89/1.57 | (6) rhasLeader(iX, iY) = 0 % 5.89/1.57 | % 5.89/1.57 | ALPHA: (axiom_4) implies: % 5.89/1.57 | (7) cowlThing(iY) = 0 % 5.89/1.57 | % 5.89/1.57 | ALPHA: (axiom_5) implies: % 5.89/1.57 | (8) ! [v0: $i] : ! [v1: $i] : ( ~ (rhasLeader(v0, v1) = 0) | ~ $i(v1) | % 5.89/1.57 | ~ $i(v0) | rhasHead(v0, v1) = 0) % 5.89/1.57 | % 5.89/1.57 | ALPHA: (the_axiom) implies: % 5.89/1.57 | (9) $i(iX) % 5.89/1.57 | (10) $i(iY) % 5.89/1.57 | (11) ? [v0: any] : ? [v1: any] : ? [v2: any] : (rhasHead(iX, iY) = v1 & % 5.89/1.57 | cowlThing(iY) = v2 & cowlThing(iX) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) % 5.89/1.57 | | ~ (v0 = 0) | ? [v3: $i] : ? [v4: any] : ? [v5: any] : % 5.89/1.57 | (xsd_string(v3) = v4 & xsd_integer(v3) = v5 & $i(v3) & ((v5 = 0 & % 5.89/1.57 | v4 = 0) | ( ~ (v5 = 0) & ~ (v4 = 0)))) | ? [v3: $i] : ? % 5.89/1.57 | [v4: any] : ? [v5: any] : (cowlNothing(v3) = v5 & cowlThing(v3) = % 5.89/1.57 | v4 & $i(v3) & ( ~ (v4 = 0) | v5 = 0)))) % 5.89/1.57 | % 5.89/1.57 | ALPHA: (function-axioms) implies: % 5.89/1.58 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 5.89/1.58 | : (v1 = v0 | ~ (cowlThing(v2) = v1) | ~ (cowlThing(v2) = v0)) % 5.89/1.58 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 5.89/1.58 | : (v1 = v0 | ~ (xsd_integer(v2) = v1) | ~ (xsd_integer(v2) = v0)) % 5.89/1.58 | (14) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 5.89/1.58 | : ! [v3: $i] : (v1 = v0 | ~ (rhasHead(v3, v2) = v1) | ~ % 5.89/1.58 | (rhasHead(v3, v2) = v0)) % 5.89/1.58 | % 5.89/1.58 | DELTA: instantiating (11) with fresh symbols all_7_0, all_7_1, all_7_2 gives: % 5.89/1.58 | (15) rhasHead(iX, iY) = all_7_1 & cowlThing(iY) = all_7_0 & cowlThing(iX) = % 5.89/1.58 | all_7_2 & ( ~ (all_7_0 = 0) | ~ (all_7_1 = 0) | ~ (all_7_2 = 0) | ? % 5.89/1.58 | [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 & % 5.89/1.58 | xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) % 5.89/1.58 | & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 5.89/1.58 | (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | % 5.89/1.58 | v2 = 0))) % 5.89/1.58 | % 5.89/1.58 | ALPHA: (15) implies: % 5.89/1.58 | (16) cowlThing(iX) = all_7_2 % 5.89/1.58 | (17) cowlThing(iY) = all_7_0 % 5.89/1.58 | (18) rhasHead(iX, iY) = all_7_1 % 5.89/1.58 | (19) ~ (all_7_0 = 0) | ~ (all_7_1 = 0) | ~ (all_7_2 = 0) | ? [v0: $i] : % 5.89/1.58 | ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0) = % 5.89/1.58 | v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | % 5.89/1.58 | ? [v0: $i] : ? [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 & % 5.89/1.58 | cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 5.89/1.58 | % 5.89/1.59 | GROUND_INST: instantiating (12) with 0, all_7_2, iX, simplifying with (5), % 5.89/1.59 | (16) gives: % 5.89/1.59 | (20) all_7_2 = 0 % 5.89/1.59 | % 5.89/1.59 | GROUND_INST: instantiating (12) with 0, all_7_0, iY, simplifying with (7), % 5.89/1.59 | (17) gives: % 5.89/1.59 | (21) all_7_0 = 0 % 5.89/1.59 | % 5.89/1.59 | GROUND_INST: instantiating (8) with iX, iY, simplifying with (6), (9), (10) % 5.89/1.59 | gives: % 5.89/1.59 | (22) rhasHead(iX, iY) = 0 % 5.89/1.59 | % 5.89/1.59 | GROUND_INST: instantiating (14) with all_7_1, 0, iY, iX, simplifying with % 5.89/1.59 | (18), (22) gives: % 5.89/1.59 | (23) all_7_1 = 0 % 5.89/1.59 | % 5.89/1.59 | BETA: splitting (19) gives: % 5.89/1.59 | % 5.89/1.59 | Case 1: % 5.89/1.59 | | % 5.89/1.59 | | (24) ~ (all_7_0 = 0) % 5.89/1.59 | | % 5.89/1.59 | | REDUCE: (21), (24) imply: % 5.89/1.59 | | (25) $false % 5.89/1.59 | | % 5.89/1.59 | | CLOSE: (25) is inconsistent. % 5.89/1.59 | | % 5.89/1.59 | Case 2: % 5.89/1.59 | | % 5.89/1.59 | | (26) ~ (all_7_1 = 0) | ~ (all_7_2 = 0) | ? [v0: $i] : ? [v1: any] : % 5.89/1.59 | | ? [v2: any] : (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & % 5.89/1.59 | | ((v2 = 0 & v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : % 5.89/1.59 | | ? [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) % 5.89/1.59 | | = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 5.89/1.59 | | % 5.89/1.59 | | BETA: splitting (26) gives: % 5.89/1.59 | | % 5.89/1.59 | | Case 1: % 5.89/1.59 | | | % 5.89/1.59 | | | (27) ~ (all_7_1 = 0) % 5.89/1.59 | | | % 5.89/1.59 | | | REDUCE: (23), (27) imply: % 5.89/1.59 | | | (28) $false % 5.89/1.59 | | | % 5.89/1.59 | | | CLOSE: (28) is inconsistent. % 5.89/1.59 | | | % 5.89/1.59 | | Case 2: % 5.89/1.59 | | | % 5.89/1.59 | | | (29) ~ (all_7_2 = 0) | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 5.89/1.59 | | | (xsd_string(v0) = v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & % 5.89/1.59 | | | v1 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? % 5.89/1.59 | | | [v1: any] : ? [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) = % 5.89/1.59 | | | v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 5.89/1.59 | | | % 5.89/1.59 | | | BETA: splitting (29) gives: % 5.89/1.59 | | | % 5.89/1.59 | | | Case 1: % 5.89/1.59 | | | | % 5.89/1.59 | | | | (30) ~ (all_7_2 = 0) % 5.89/1.59 | | | | % 5.89/1.59 | | | | REDUCE: (20), (30) imply: % 5.89/1.59 | | | | (31) $false % 5.89/1.59 | | | | % 5.89/1.59 | | | | CLOSE: (31) is inconsistent. % 5.89/1.59 | | | | % 5.89/1.59 | | | Case 2: % 5.89/1.59 | | | | % 5.89/1.59 | | | | (32) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = v1 % 5.89/1.59 | | | | & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( ~ (v2 % 5.89/1.59 | | | | = 0) & ~ (v1 = 0)))) | ? [v0: $i] : ? [v1: any] : ? % 5.89/1.59 | | | | [v2: any] : (cowlNothing(v0) = v2 & cowlThing(v0) = v1 & $i(v0) % 5.89/1.59 | | | | & ( ~ (v1 = 0) | v2 = 0)) % 5.89/1.59 | | | | % 5.89/1.60 | | | | BETA: splitting (32) gives: % 5.89/1.60 | | | | % 5.89/1.60 | | | | Case 1: % 5.89/1.60 | | | | | % 5.89/1.60 | | | | | (33) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (xsd_string(v0) = % 5.89/1.60 | | | | | v1 & xsd_integer(v0) = v2 & $i(v0) & ((v2 = 0 & v1 = 0) | ( % 5.89/1.60 | | | | | ~ (v2 = 0) & ~ (v1 = 0)))) % 5.89/1.60 | | | | | % 5.89/1.60 | | | | | DELTA: instantiating (33) with fresh symbols all_50_0, all_50_1, % 5.89/1.60 | | | | | all_50_2 gives: % 5.89/1.60 | | | | | (34) xsd_string(all_50_2) = all_50_1 & xsd_integer(all_50_2) = % 5.89/1.60 | | | | | all_50_0 & $i(all_50_2) & ((all_50_0 = 0 & all_50_1 = 0) | ( ~ % 5.89/1.60 | | | | | (all_50_0 = 0) & ~ (all_50_1 = 0))) % 5.89/1.60 | | | | | % 5.89/1.60 | | | | | ALPHA: (34) implies: % 5.89/1.60 | | | | | (35) $i(all_50_2) % 5.89/1.60 | | | | | (36) xsd_integer(all_50_2) = all_50_0 % 5.89/1.60 | | | | | (37) xsd_string(all_50_2) = all_50_1 % 5.89/1.60 | | | | | (38) (all_50_0 = 0 & all_50_1 = 0) | ( ~ (all_50_0 = 0) & ~ % 5.89/1.60 | | | | | (all_50_1 = 0)) % 5.89/1.60 | | | | | % 5.89/1.60 | | | | | GROUND_INST: instantiating (4) with all_50_2, all_50_1, simplifying % 5.89/1.60 | | | | | with (35), (37) gives: % 5.89/1.60 | | | | | (39) all_50_1 = 0 | xsd_integer(all_50_2) = 0 % 5.89/1.60 | | | | | % 5.89/1.60 | | | | | BETA: splitting (38) gives: % 5.89/1.60 | | | | | % 5.89/1.60 | | | | | Case 1: % 5.89/1.60 | | | | | | % 5.89/1.60 | | | | | | (40) all_50_0 = 0 & all_50_1 = 0 % 5.89/1.60 | | | | | | % 5.89/1.60 | | | | | | ALPHA: (40) implies: % 5.89/1.60 | | | | | | (41) all_50_1 = 0 % 5.89/1.60 | | | | | | (42) all_50_0 = 0 % 5.89/1.60 | | | | | | % 5.89/1.60 | | | | | | REDUCE: (37), (41) imply: % 5.89/1.60 | | | | | | (43) xsd_string(all_50_2) = 0 % 5.89/1.60 | | | | | | % 5.89/1.60 | | | | | | REDUCE: (36), (42) imply: % 5.89/1.60 | | | | | | (44) xsd_integer(all_50_2) = 0 % 6.10/1.60 | | | | | | % 6.10/1.60 | | | | | | GROUND_INST: instantiating (3) with all_50_2, simplifying with (35), % 6.10/1.60 | | | | | | (43) gives: % 6.10/1.60 | | | | | | (45) ? [v0: int] : ( ~ (v0 = 0) & xsd_integer(all_50_2) = v0) % 6.10/1.60 | | | | | | % 6.10/1.60 | | | | | | DELTA: instantiating (45) with fresh symbol all_64_0 gives: % 6.10/1.60 | | | | | | (46) ~ (all_64_0 = 0) & xsd_integer(all_50_2) = all_64_0 % 6.10/1.60 | | | | | | % 6.10/1.60 | | | | | | ALPHA: (46) implies: % 6.10/1.60 | | | | | | (47) ~ (all_64_0 = 0) % 6.10/1.60 | | | | | | (48) xsd_integer(all_50_2) = all_64_0 % 6.10/1.60 | | | | | | % 6.10/1.60 | | | | | | GROUND_INST: instantiating (13) with 0, all_64_0, all_50_2, % 6.10/1.60 | | | | | | simplifying with (44), (48) gives: % 6.10/1.60 | | | | | | (49) all_64_0 = 0 % 6.10/1.60 | | | | | | % 6.10/1.60 | | | | | | REDUCE: (47), (49) imply: % 6.10/1.60 | | | | | | (50) $false % 6.10/1.60 | | | | | | % 6.10/1.60 | | | | | | CLOSE: (50) is inconsistent. % 6.10/1.60 | | | | | | % 6.10/1.60 | | | | | Case 2: % 6.10/1.60 | | | | | | % 6.10/1.60 | | | | | | (51) ~ (all_50_0 = 0) & ~ (all_50_1 = 0) % 6.10/1.60 | | | | | | % 6.10/1.60 | | | | | | ALPHA: (51) implies: % 6.10/1.60 | | | | | | (52) ~ (all_50_1 = 0) % 6.10/1.60 | | | | | | (53) ~ (all_50_0 = 0) % 6.10/1.60 | | | | | | % 6.10/1.60 | | | | | | BETA: splitting (39) gives: % 6.10/1.60 | | | | | | % 6.10/1.60 | | | | | | Case 1: % 6.10/1.60 | | | | | | | % 6.10/1.60 | | | | | | | (54) xsd_integer(all_50_2) = 0 % 6.10/1.60 | | | | | | | % 6.10/1.60 | | | | | | | GROUND_INST: instantiating (13) with all_50_0, 0, all_50_2, % 6.10/1.60 | | | | | | | simplifying with (36), (54) gives: % 6.10/1.60 | | | | | | | (55) all_50_0 = 0 % 6.10/1.60 | | | | | | | % 6.10/1.60 | | | | | | | REDUCE: (53), (55) imply: % 6.10/1.60 | | | | | | | (56) $false % 6.10/1.60 | | | | | | | % 6.10/1.60 | | | | | | | CLOSE: (56) is inconsistent. % 6.10/1.60 | | | | | | | % 6.10/1.60 | | | | | | Case 2: % 6.10/1.60 | | | | | | | % 6.10/1.60 | | | | | | | (57) all_50_1 = 0 % 6.10/1.60 | | | | | | | % 6.10/1.61 | | | | | | | REDUCE: (52), (57) imply: % 6.10/1.61 | | | | | | | (58) $false % 6.10/1.61 | | | | | | | % 6.10/1.61 | | | | | | | CLOSE: (58) is inconsistent. % 6.10/1.61 | | | | | | | % 6.10/1.61 | | | | | | End of split % 6.10/1.61 | | | | | | % 6.10/1.61 | | | | | End of split % 6.10/1.61 | | | | | % 6.10/1.61 | | | | Case 2: % 6.10/1.61 | | | | | % 6.10/1.61 | | | | | (59) ? [v0: $i] : ? [v1: any] : ? [v2: any] : (cowlNothing(v0) = % 6.10/1.61 | | | | | v2 & cowlThing(v0) = v1 & $i(v0) & ( ~ (v1 = 0) | v2 = 0)) % 6.10/1.61 | | | | | % 6.10/1.61 | | | | | DELTA: instantiating (59) with fresh symbols all_50_0, all_50_1, % 6.10/1.61 | | | | | all_50_2 gives: % 6.10/1.61 | | | | | (60) cowlNothing(all_50_2) = all_50_0 & cowlThing(all_50_2) = % 6.10/1.61 | | | | | all_50_1 & $i(all_50_2) & ( ~ (all_50_1 = 0) | all_50_0 = 0) % 6.10/1.61 | | | | | % 6.10/1.61 | | | | | ALPHA: (60) implies: % 6.10/1.61 | | | | | (61) $i(all_50_2) % 6.10/1.61 | | | | | (62) cowlThing(all_50_2) = all_50_1 % 6.10/1.61 | | | | | (63) cowlNothing(all_50_2) = all_50_0 % 6.10/1.61 | | | | | (64) ~ (all_50_1 = 0) | all_50_0 = 0 % 6.10/1.61 | | | | | % 6.10/1.61 | | | | | GROUND_INST: instantiating (2) with all_50_2, all_50_1, simplifying % 6.10/1.61 | | | | | with (61), (62) gives: % 6.10/1.61 | | | | | (65) all_50_1 = 0 % 6.10/1.61 | | | | | % 6.10/1.61 | | | | | BETA: splitting (64) gives: % 6.10/1.61 | | | | | % 6.10/1.61 | | | | | Case 1: % 6.10/1.61 | | | | | | % 6.10/1.61 | | | | | | (66) ~ (all_50_1 = 0) % 6.10/1.61 | | | | | | % 6.10/1.61 | | | | | | REDUCE: (65), (66) imply: % 6.10/1.61 | | | | | | (67) $false % 6.10/1.61 | | | | | | % 6.10/1.61 | | | | | | CLOSE: (67) is inconsistent. % 6.10/1.61 | | | | | | % 6.10/1.61 | | | | | Case 2: % 6.10/1.61 | | | | | | % 6.10/1.61 | | | | | | (68) all_50_0 = 0 % 6.10/1.61 | | | | | | % 6.10/1.61 | | | | | | REDUCE: (63), (68) imply: % 6.10/1.61 | | | | | | (69) cowlNothing(all_50_2) = 0 % 6.10/1.61 | | | | | | % 6.10/1.61 | | | | | | GROUND_INST: instantiating (1) with all_50_2, simplifying with (61), % 6.10/1.61 | | | | | | (69) gives: % 6.10/1.61 | | | | | | (70) $false % 6.10/1.61 | | | | | | % 6.10/1.61 | | | | | | CLOSE: (70) is inconsistent. % 6.10/1.61 | | | | | | % 6.10/1.61 | | | | | End of split % 6.10/1.61 | | | | | % 6.10/1.61 | | | | End of split % 6.10/1.61 | | | | % 6.10/1.61 | | | End of split % 6.10/1.61 | | | % 6.10/1.61 | | End of split % 6.10/1.61 | | % 6.10/1.61 | End of split % 6.10/1.61 | % 6.10/1.61 End of proof % 6.10/1.61 % SZS output end Proof for theBenchmark % 6.10/1.61 % 6.10/1.61 1005ms %------------------------------------------------------------------------------