%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR035+1 : TPTP v8.1.2. Released v3.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n001.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 21:36:36 EDT 2023 % Result : Theorem 5.17s 1.56s % Output : Proof 9.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : CSR035+1 : TPTP v8.1.2. Released v3.4.0. % 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n001.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.35 % DateTime : Mon Aug 28 11:31:04 EDT 2023 % 0.14/0.35 % CPUTime : % 0.21/0.62 ________ _____ % 0.21/0.62 ___ __ \_________(_)________________________________ % 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.62 % 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.62 (2023-06-19) % 0.21/0.62 % 0.21/0.62 (c) Philipp Rümmer, 2009-2023 % 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.62 Amanda Stjerna. % 0.21/0.62 Free software under BSD-3-Clause. % 0.21/0.62 % 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.62 % 0.21/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.21/0.63 Running up to 7 provers in parallel. % 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.87/1.08 Prover 4: Preprocessing ... % 2.87/1.08 Prover 1: Preprocessing ... % 2.87/1.12 Prover 0: Preprocessing ... % 2.87/1.12 Prover 2: Preprocessing ... % 2.87/1.12 Prover 5: Preprocessing ... % 2.87/1.12 Prover 3: Preprocessing ... % 2.87/1.12 Prover 6: Preprocessing ... % 4.66/1.42 Prover 2: Proving ... % 4.66/1.42 Prover 5: Proving ... % 4.66/1.47 Prover 1: Warning: ignoring some quantifiers % 5.17/1.51 Prover 1: Constructing countermodel ... % 5.17/1.54 Prover 6: Proving ... % 5.17/1.54 Prover 3: Warning: ignoring some quantifiers % 5.17/1.55 Prover 2: proved (911ms) % 5.17/1.56 % 5.17/1.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.17/1.56 % 6.44/1.57 Prover 3: Constructing countermodel ... % 6.44/1.57 Prover 5: stopped % 6.44/1.57 Prover 6: stopped % 6.44/1.57 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.44/1.57 Prover 3: stopped % 6.44/1.58 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.44/1.58 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.44/1.58 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.44/1.59 Prover 0: Proving ... % 6.44/1.60 Prover 0: stopped % 6.69/1.61 Prover 4: Constructing countermodel ... % 6.69/1.63 Prover 7: Preprocessing ... % 6.69/1.63 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.69/1.63 Prover 8: Preprocessing ... % 6.93/1.65 Prover 11: Preprocessing ... % 6.93/1.65 Prover 10: Preprocessing ... % 6.93/1.68 Prover 13: Preprocessing ... % 7.68/1.75 Prover 7: Constructing countermodel ... % 7.68/1.77 Prover 4: Found proof (size 16) % 7.68/1.78 Prover 4: proved (1125ms) % 7.68/1.79 Prover 1: stopped % 8.19/1.80 Prover 10: Constructing countermodel ... % 8.19/1.81 Prover 10: stopped % 8.19/1.81 Prover 7: stopped % 8.19/1.81 Prover 13: Warning: ignoring some quantifiers % 8.19/1.82 Prover 13: Constructing countermodel ... % 8.19/1.83 Prover 13: stopped % 8.19/1.84 Prover 8: Warning: ignoring some quantifiers % 8.19/1.86 Prover 8: Constructing countermodel ... % 8.65/1.87 Prover 8: stopped % 8.65/1.91 Prover 11: Constructing countermodel ... % 8.65/1.92 Prover 11: stopped % 8.65/1.92 % 8.65/1.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.65/1.92 % 8.65/1.93 % SZS output start Proof for theBenchmark % 8.65/1.93 Assumptions after simplification: % 8.65/1.93 --------------------------------- % 8.65/1.93 % 8.65/1.93 (just1) % 8.65/1.96 $i(s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) & % 8.65/1.96 $i(c_beloitcollege) & $i(c_affiliatedwith) & $i(c_footballteam) & % 8.65/1.96 $i(c_englishmt) & ? [v0: any] : ? [v1: $i] : ? [v2: any] : % 8.65/1.96 (mtvisible(c_englishmt) = v0 & f_instancewithrelationtofn(c_footballteam, % 8.65/1.96 c_affiliatedwith, c_beloitcollege) = v1 & prettystring(v1, % 8.65/1.96 s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) = v2 & $i(v1) & ( % 8.65/1.96 ~ (v0 = 0) | v2 = 0)) % 8.65/1.96 % 8.65/1.96 (query35) % 8.65/1.96 $i(c_beloitcollege) & $i(c_affiliatedwith) & $i(c_footballteam) & % 8.65/1.96 $i(c_englishmt) & ? [v0: $i] : (mtvisible(c_englishmt) = 0 & % 8.65/1.96 f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, % 8.65/1.96 c_beloitcollege) = v0 & $i(v0) & ! [v1: $i] : ( ~ (prettystring(v0, v1) = % 8.65/1.96 0) | ~ $i(v1))) % 8.65/1.96 % 8.65/1.96 (function-axioms) % 9.14/1.97 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 9.14/1.97 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (natargument(v4, v3, v2) = v1) | ~ % 9.14/1.97 (natargument(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 9.14/1.97 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (f_instancewithrelationtofn(v4, v3, % 9.14/1.97 v2) = v1) | ~ (f_instancewithrelationtofn(v4, v3, v2) = v0)) & ! [v0: % 9.14/1.97 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 9.14/1.97 : (v1 = v0 | ~ (natfunction(v3, v2) = v1) | ~ (natfunction(v3, v2) = v0)) & % 9.14/1.97 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 9.14/1.97 $i] : (v1 = v0 | ~ (affiliatedwith(v3, v2) = v1) | ~ (affiliatedwith(v3, % 9.14/1.97 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 9.14/1.97 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, % 9.14/1.97 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 9.14/1.97 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ % 9.14/1.97 (genlpreds(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 9.14/1.97 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 9.14/1.97 (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) & ! [v0: % 9.14/1.97 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 9.14/1.97 : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) = v0)) % 9.14/1.97 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 9.14/1.97 [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = v0)) & ! [v0: % 9.14/1.97 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 9.14/1.97 : (v1 = v0 | ~ (prettystring(v3, v2) = v1) | ~ (prettystring(v3, v2) = v0)) % 9.14/1.97 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 % 9.14/1.97 = v0 | ~ (controlcharacterfreestring(v2) = v1) | ~ % 9.14/1.97 (controlcharacterfreestring(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 9.14/1.97 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (footballteam(v2) = v1) % 9.14/1.97 | ~ (footballteam(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 9.14/1.97 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (agent_generic(v2) = v1) | % 9.14/1.97 ~ (agent_generic(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 9.14/1.97 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (thing(v2) = v1) | ~ % 9.14/1.97 (thing(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 9.14/1.97 : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) | ~ (collection(v2) = % 9.14/1.97 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 9.14/1.97 $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1) | ~ (binarypredicate(v2) = % 9.14/1.97 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 9.14/1.97 $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~ (predicate(v2) = v0)) & ! % 9.14/1.97 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 9.14/1.97 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) % 9.14/1.97 % 9.14/1.97 Further assumptions not needed in the proof: % 9.14/1.97 -------------------------------------------- % 9.14/1.97 just10, just11, just12, just13, just14, just15, just16, just17, just18, just19, % 9.14/1.97 just2, just20, just21, just22, just23, just24, just25, just26, just27, just28, % 9.14/1.97 just29, just3, just30, just31, just32, just33, just34, just35, just36, just37, % 9.14/1.97 just38, just4, just5, just6, just7, just8, just9 % 9.14/1.97 % 9.14/1.97 Those formulas are unsatisfiable: % 9.14/1.97 --------------------------------- % 9.14/1.97 % 9.14/1.97 Begin of proof % 9.14/1.97 | % 9.14/1.97 | ALPHA: (just1) implies: % 9.14/1.97 | (1) $i(s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) % 9.14/1.97 | (2) ? [v0: any] : ? [v1: $i] : ? [v2: any] : (mtvisible(c_englishmt) = % 9.14/1.97 | v0 & f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, % 9.14/1.97 | c_beloitcollege) = v1 & prettystring(v1, % 9.14/1.97 | s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) = v2 & % 9.14/1.97 | $i(v1) & ( ~ (v0 = 0) | v2 = 0)) % 9.14/1.97 | % 9.14/1.97 | ALPHA: (query35) implies: % 9.14/1.97 | (3) ? [v0: $i] : (mtvisible(c_englishmt) = 0 & % 9.14/1.97 | f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, % 9.14/1.97 | c_beloitcollege) = v0 & $i(v0) & ! [v1: $i] : ( ~ % 9.14/1.97 | (prettystring(v0, v1) = 0) | ~ $i(v1))) % 9.14/1.98 | % 9.14/1.98 | ALPHA: (function-axioms) implies: % 9.14/1.98 | (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 9.14/1.98 | (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) % 9.14/1.98 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 9.14/1.98 | (v1 = v0 | ~ (f_instancewithrelationtofn(v4, v3, v2) = v1) | ~ % 9.14/1.98 | (f_instancewithrelationtofn(v4, v3, v2) = v0)) % 9.14/1.98 | % 9.14/1.98 | DELTA: instantiating (3) with fresh symbol all_40_0 gives: % 9.14/1.98 | (6) mtvisible(c_englishmt) = 0 & f_instancewithrelationtofn(c_footballteam, % 9.14/1.98 | c_affiliatedwith, c_beloitcollege) = all_40_0 & $i(all_40_0) & ! % 9.14/1.98 | [v0: $i] : ( ~ (prettystring(all_40_0, v0) = 0) | ~ $i(v0)) % 9.14/1.98 | % 9.14/1.98 | ALPHA: (6) implies: % 9.14/1.98 | (7) f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, % 9.14/1.98 | c_beloitcollege) = all_40_0 % 9.14/1.98 | (8) mtvisible(c_englishmt) = 0 % 9.14/1.98 | (9) ! [v0: $i] : ( ~ (prettystring(all_40_0, v0) = 0) | ~ $i(v0)) % 9.14/1.98 | % 9.14/1.98 | DELTA: instantiating (2) with fresh symbols all_43_0, all_43_1, all_43_2 % 9.14/1.98 | gives: % 9.14/1.98 | (10) mtvisible(c_englishmt) = all_43_2 & % 9.14/1.98 | f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, % 9.14/1.98 | c_beloitcollege) = all_43_1 & prettystring(all_43_1, % 9.14/1.98 | s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) = all_43_0 & % 9.14/1.98 | $i(all_43_1) & ( ~ (all_43_2 = 0) | all_43_0 = 0) % 9.14/1.98 | % 9.14/1.98 | ALPHA: (10) implies: % 9.14/1.98 | (11) prettystring(all_43_1, % 9.14/1.98 | s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) = all_43_0 % 9.14/1.98 | (12) f_instancewithrelationtofn(c_footballteam, c_affiliatedwith, % 9.14/1.98 | c_beloitcollege) = all_43_1 % 9.14/1.98 | (13) mtvisible(c_englishmt) = all_43_2 % 9.14/1.98 | (14) ~ (all_43_2 = 0) | all_43_0 = 0 % 9.14/1.98 | % 9.14/1.98 | GROUND_INST: instantiating (5) with all_40_0, all_43_1, c_beloitcollege, % 9.14/1.98 | c_affiliatedwith, c_footballteam, simplifying with (7), (12) % 9.14/1.98 | gives: % 9.14/1.98 | (15) all_43_1 = all_40_0 % 9.14/1.98 | % 9.14/1.98 | GROUND_INST: instantiating (4) with 0, all_43_2, c_englishmt, simplifying with % 9.14/1.98 | (8), (13) gives: % 9.14/1.98 | (16) all_43_2 = 0 % 9.14/1.98 | % 9.14/1.98 | REDUCE: (11), (15) imply: % 9.14/1.98 | (17) prettystring(all_40_0, % 9.14/1.98 | s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) = all_43_0 % 9.14/1.98 | % 9.14/1.98 | BETA: splitting (14) gives: % 9.14/1.98 | % 9.14/1.98 | Case 1: % 9.14/1.98 | | % 9.14/1.98 | | (18) ~ (all_43_2 = 0) % 9.14/1.98 | | % 9.14/1.98 | | REDUCE: (16), (18) imply: % 9.14/1.98 | | (19) $false % 9.14/1.98 | | % 9.14/1.98 | | CLOSE: (19) is inconsistent. % 9.14/1.98 | | % 9.14/1.98 | Case 2: % 9.14/1.98 | | % 9.14/1.98 | | (20) all_43_0 = 0 % 9.14/1.98 | | % 9.14/1.99 | | REDUCE: (17), (20) imply: % 9.14/1.99 | | (21) prettystring(all_40_0, % 9.14/1.99 | | s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) = 0 % 9.14/1.99 | | % 9.14/1.99 | | GROUND_INST: instantiating (9) with % 9.14/1.99 | | s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege, % 9.14/1.99 | | simplifying with (1), (21) gives: % 9.14/1.99 | | (22) $false % 9.14/1.99 | | % 9.14/1.99 | | CLOSE: (22) is inconsistent. % 9.14/1.99 | | % 9.14/1.99 | End of split % 9.14/1.99 | % 9.14/1.99 End of proof % 9.14/1.99 % SZS output end Proof for theBenchmark % 9.14/1.99 % 9.14/1.99 1365ms %------------------------------------------------------------------------------