%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO305+1 : TPTP v8.1.2. Released v4.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n019.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 23:22:59 EDT 2023 % Result : Theorem 29.43s 4.71s % Output : Proof 56.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : GEO305+1 : TPTP v8.1.2. Released v4.1.0. % 0.07/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.35 % Computer : n019.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Tue Aug 29 22:41:42 EDT 2023 % 0.14/0.35 % CPUTime : % 0.20/0.62 ________ _____ % 0.20/0.62 ___ __ \_________(_)________________________________ % 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.62 % 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.62 (2023-06-19) % 0.20/0.62 % 0.20/0.62 (c) Philipp Rümmer, 2009-2023 % 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.62 Amanda Stjerna. % 0.20/0.62 Free software under BSD-3-Clause. % 0.20/0.62 % 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.62 % 0.20/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.64 Running up to 7 provers in parallel. % 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 8.81/1.97 Prover 4: Preprocessing ... % 8.81/1.98 Prover 1: Preprocessing ... % 9.40/2.01 Prover 5: Preprocessing ... % 9.40/2.01 Prover 0: Preprocessing ... % 9.40/2.01 Prover 2: Preprocessing ... % 9.40/2.01 Prover 3: Preprocessing ... % 9.40/2.01 Prover 6: Preprocessing ... % 21.84/3.67 Prover 1: Constructing countermodel ... % 22.65/3.79 Prover 3: Constructing countermodel ... % 24.14/4.01 Prover 6: Proving ... % 27.07/4.34 Prover 2: Proving ... % 27.48/4.45 Prover 5: Proving ... % 29.43/4.70 Prover 6: proved (4053ms) % 29.43/4.70 % 29.43/4.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 29.43/4.71 % 29.43/4.71 Prover 3: stopped % 29.43/4.71 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 29.43/4.72 Prover 2: stopped % 29.43/4.72 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 29.43/4.72 Prover 5: stopped % 29.43/4.73 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 29.43/4.73 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 33.25/5.23 Prover 10: Preprocessing ... % 33.93/5.25 Prover 7: Preprocessing ... % 34.40/5.33 Prover 8: Preprocessing ... % 34.81/5.38 Prover 11: Preprocessing ... % 37.14/5.72 Prover 10: Warning: ignoring some quantifiers % 37.14/5.76 Prover 10: Constructing countermodel ... % 38.74/5.88 Prover 4: Constructing countermodel ... % 39.39/6.01 Prover 8: Warning: ignoring some quantifiers % 39.91/6.03 Prover 8: Constructing countermodel ... % 41.09/6.18 Prover 7: Warning: ignoring some quantifiers % 41.55/6.25 Prover 7: Constructing countermodel ... % 43.94/6.62 Prover 0: Proving ... % 44.65/6.65 Prover 0: stopped % 44.65/6.66 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 46.28/6.90 Prover 13: Preprocessing ... % 49.51/7.31 Prover 13: Warning: ignoring some quantifiers % 50.14/7.35 Prover 13: Constructing countermodel ... % 51.85/7.60 Prover 1: Found proof (size 24) % 51.85/7.60 Prover 1: proved (6952ms) % 51.85/7.60 Prover 7: stopped % 51.85/7.60 Prover 13: stopped % 51.85/7.60 Prover 10: stopped % 51.85/7.60 Prover 8: stopped % 53.69/7.94 Prover 11: Constructing countermodel ... % 53.69/7.97 Prover 11: stopped % 55.56/8.49 Prover 4: stopped % 55.56/8.49 % 55.56/8.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 55.56/8.49 % 55.56/8.50 % SZS output start Proof for theBenchmark % 55.56/8.52 Assumptions after simplification: % 55.56/8.52 --------------------------------- % 55.56/8.52 % 55.56/8.52 (and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))) % 55.56/8.57 $i(vd1288) & $i(vd1287) & $i(vd1289) & ? [v0: $i] : ( ~ (vd1288 = vd1287) & % 55.56/8.57 ~ (vd1288 = vd1289) & ~ (vd1287 = vd1289) & vf(vd1287, vd1288) = v0 & % 55.56/8.57 vf(vd1287, vd1289) = v0 & rpoint(vd1288) = 0 & rpoint(vd1287) = 0 & % 55.56/8.57 rpoint(vd1289) = 0 & $i(v0)) % 55.56/8.57 % 55.56/8.57 (and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))) % 55.56/8.57 vd1303 = vd1302 & rpoint(vd1302) = 0 & rR(vd1288, vd1287, vd1299) = 0 & % 55.56/8.57 rR(vd1289, vd1287, vd1302) = 0 & $i(vd1288) & $i(vd1287) & $i(vd1289) & % 55.56/8.57 $i(vd1299) & $i(vd1302) % 55.56/8.57 % 55.56/8.57 (pred(347, 0)) % 55.56/8.57 rline(vd1297) = 0 & $i(vd1297) % 55.98/8.57 % 55.98/8.57 (pred(conjunct2(349), 0)) % 55.98/8.57 $i(vd1297) & $i(vd1302) & ? [v0: int] : ( ~ (v0 = 0) & ron(vd1302, vd1297) = % 55.98/8.57 v0) % 55.98/8.57 % 55.98/8.57 (pred(s1(plural(347)), 0)) % 55.98/8.57 ron(vd1287, vd1297) = 0 & $i(vd1287) & $i(vd1297) % 55.98/8.57 % 55.98/8.57 (pred(s2(plural(347)), 0)) % 55.98/8.57 ron(vd1289, vd1297) = 0 & $i(vd1289) & $i(vd1297) % 55.98/8.57 % 55.98/8.57 (qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))) % 55.98/8.58 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (rline(v3) = 0) | % 55.98/8.58 ~ (rpoint(v2) = 0) | ~ (rpoint(v1) = 0) | ~ (rpoint(v0) = 0) | ~ (rR(v1, % 55.98/8.58 v0, v2) = 0) | ~ (ron(v0, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) % 55.98/8.58 | ~ $i(v0) | ? [v4: any] : ? [v5: any] : (ron(v2, v3) = v5 & ron(v1, v3) % 55.98/8.58 = v4 & ( ~ (v4 = 0) | v5 = 0))) % 55.98/8.58 % 55.98/8.58 (function-axioms) % 56.04/8.59 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 56.04/8.59 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : (v1 = v0 | ~ % 56.04/8.59 (vskolem1120(v9, v8, v7, v6, v5, v4, v3, v2) = v1) | ~ (vskolem1120(v9, v8, % 56.04/8.59 v7, v6, v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 56.04/8.59 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = v0 | ~ (vskolem1052(v5, v4, % 56.04/8.59 v3, v2) = v1) | ~ (vskolem1052(v5, v4, v3, v2) = v0)) & ! [v0: $i] : % 56.04/8.59 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = v0 % 56.04/8.59 | ~ (vskolem1078(v5, v4, v3, v2) = v1) | ~ (vskolem1078(v5, v4, v3, v2) = % 56.04/8.59 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 56.04/8.59 : (v1 = v0 | ~ (vtriangle(v4, v3, v2) = v1) | ~ (vtriangle(v4, v3, v2) = % 56.04/8.59 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 56.04/8.59 : (v1 = v0 | ~ (vg(v4, v3, v2) = v1) | ~ (vg(v4, v3, v2) = v0)) & ! [v0: % 56.04/8.59 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 56.04/8.59 : ! [v4: $i] : (v1 = v0 | ~ (rS(v4, v3, v2) = v1) | ~ (rS(v4, v3, v2) = % 56.04/8.59 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 56.04/8.59 : (v1 = v0 | ~ (vangle(v4, v3, v2) = v1) | ~ (vangle(v4, v3, v2) = v0)) & ! % 56.04/8.59 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 56.04/8.59 $i] : ! [v4: $i] : (v1 = v0 | ~ (rR(v4, v3, v2) = v1) | ~ (rR(v4, v3, v2) % 56.04/8.59 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 56.04/8.59 $i] : ! [v3: $i] : (v1 = v0 | ~ (rgeq(v3, v2) = v1) | ~ (rgeq(v3, v2) = % 56.04/8.59 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 56.04/8.59 $i] : ! [v3: $i] : (v1 = v0 | ~ (rleq(v3, v2) = v1) | ~ (rleq(v3, v2) = % 56.04/8.59 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 56.04/8.59 $i] : ! [v3: $i] : (v1 = v0 | ~ (rintersect(v3, v2) = v1) | ~ % 56.04/8.59 (rintersect(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 56.04/8.59 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (rcenter(v3, % 56.04/8.59 v2) = v1) | ~ (rcenter(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 56.04/8.59 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (vplus(v3, v2) = v1) | ~ (vplus(v3, % 56.04/8.59 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 56.04/8.59 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (rinside(v3, v2) = v1) | ~ % 56.04/8.59 (rinside(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 56.04/8.59 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (rless(v3, % 56.04/8.59 v2) = v1) | ~ (rless(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 56.04/8.59 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (vf(v3, v2) = v1) | ~ (vf(v3, v2) = % 56.04/8.59 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 56.04/8.59 $i] : ! [v3: $i] : (v1 = v0 | ~ (ron(v3, v2) = v1) | ~ (ron(v3, v2) = % 56.04/8.59 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 56.04/8.59 $i] : (v1 = v0 | ~ (rtriangle(v2) = v1) | ~ (rtriangle(v2) = v0)) & ! % 56.04/8.59 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 56.04/8.59 | ~ (rreal(v2) = v1) | ~ (rreal(v2) = v0)) & ! [v0: MultipleValueBool] : % 56.04/8.59 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (rcircle(v2) = v1) | % 56.04/8.59 ~ (rcircle(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 56.04/8.59 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (rline(v2) = v1) | ~ % 56.04/8.59 (rline(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 56.04/8.59 : ! [v2: $i] : (v1 = v0 | ~ (rpoint(v2) = v1) | ~ (rpoint(v2) = v0)) % 56.04/8.59 % 56.04/8.59 Further assumptions not needed in the proof: % 56.04/8.59 -------------------------------------------- % 56.04/8.59 ass(cond(156, 0), 0), ass(cond(goal(206), 0), 0), ass(cond(goal(206), 0), 1), % 56.04/8.59 ass(cond(goal(206), 0), 2), ass(cond(goal(219), 0), 0), ass(cond(goal(219), 0), % 56.04/8.59 1), ass(cond(goal(238), 0), 0), ass(cond(goal(238), 0), 1), % 56.04/8.59 ass(cond(goal(238), 0), 2), ass(cond(goal(264), 0), 0), ass(cond(goal(264), 0), % 56.04/8.59 1), ass(cond(goal(264), 0), 2), pred(346, 0), pred(348, 1), pred(348, 4), % 56.04/8.59 pred(axiom(137), 1), pred(axiom(137), 2), pred(axiom(5), 0), % 56.04/8.59 pred(conjunct1(349), 0), pred(s1(plural(346)), 0), pred(s2(plural(346)), 0), % 56.04/8.59 qu(cond(axiom(1), 0), imp(cond(axiom(1), 0))), qu(cond(axiom(101), 0), % 56.04/8.60 imp(cond(axiom(101), 0))), qu(cond(axiom(103), 0), imp(cond(axiom(103), 0))), % 56.04/8.60 qu(cond(axiom(105), 0), imp(cond(axiom(105), 0))), qu(cond(axiom(107), 0), % 56.04/8.60 imp(cond(axiom(107), 0))), qu(cond(axiom(109), 0), imp(cond(axiom(109), 0))), % 56.04/8.60 qu(cond(axiom(11), 0), imp(cond(axiom(11), 0))), qu(cond(axiom(111), 0), % 56.04/8.60 imp(cond(axiom(111), 0))), qu(cond(axiom(113), 0), imp(cond(axiom(113), 0))), % 56.04/8.60 qu(cond(axiom(115), 0), imp(cond(axiom(115), 0))), qu(cond(axiom(117), 0), % 56.04/8.60 imp(cond(axiom(117), 0))), qu(cond(axiom(119), 0), imp(cond(axiom(119), 0))), % 56.04/8.60 qu(cond(axiom(121), 0), imp(cond(axiom(121), 0))), qu(cond(axiom(123), 0), % 56.04/8.60 imp(cond(axiom(123), 0))), qu(cond(axiom(125), 0), imp(cond(axiom(125), 0))), % 56.04/8.60 qu(cond(axiom(127), 0), imp(cond(axiom(127), 0))), qu(cond(axiom(129), 0), % 56.04/8.60 imp(cond(axiom(129), 0))), qu(cond(axiom(13), 0), imp(cond(axiom(13), 0))), % 56.04/8.60 qu(cond(axiom(131), 0), imp(cond(axiom(131), 0))), qu(cond(axiom(133), 0), % 56.04/8.60 imp(cond(axiom(133), 0))), qu(cond(axiom(135), 0), imp(cond(axiom(135), 0))), % 56.04/8.60 qu(cond(axiom(139), 0), imp(cond(axiom(139), 0))), qu(cond(axiom(141), 0), % 56.04/8.60 imp(cond(axiom(141), 0))), qu(cond(axiom(143), 0), imp(cond(axiom(143), 0))), % 56.04/8.60 qu(cond(axiom(145), 0), imp(cond(axiom(145), 0))), qu(cond(axiom(147), 0), % 56.04/8.60 imp(cond(axiom(147), 0))), qu(cond(axiom(149), 0), imp(cond(axiom(149), 0))), % 56.04/8.60 qu(cond(axiom(15), 0), imp(cond(axiom(15), 0))), qu(cond(axiom(151), 0), % 56.04/8.60 imp(cond(axiom(151), 0))), qu(cond(axiom(153), 0), imp(cond(axiom(153), 0))), % 56.04/8.60 qu(cond(axiom(160), 0), imp(cond(axiom(160), 0))), qu(cond(axiom(162), 0), % 56.04/8.60 imp(cond(axiom(162), 0))), qu(cond(axiom(164), 0), imp(cond(axiom(164), 0))), % 56.04/8.60 qu(cond(axiom(166), 0), imp(cond(axiom(166), 0))), qu(cond(axiom(168), 0), % 56.04/8.60 imp(cond(axiom(168), 0))), qu(cond(axiom(17), 0), imp(cond(axiom(17), 0))), % 56.04/8.60 qu(cond(axiom(170), 0), imp(cond(axiom(170), 0))), qu(cond(axiom(172), 0), % 56.04/8.60 imp(cond(axiom(172), 0))), qu(cond(axiom(174), 0), imp(cond(axiom(174), 0))), % 56.04/8.60 qu(cond(axiom(176), 0), imp(cond(axiom(176), 0))), qu(cond(axiom(178), 0), % 56.04/8.60 imp(cond(axiom(178), 0))), qu(cond(axiom(180), 0), imp(cond(axiom(180), 0))), % 56.04/8.60 qu(cond(axiom(182), 0), imp(cond(axiom(182), 0))), qu(cond(axiom(184), 0), % 56.04/8.60 imp(cond(axiom(184), 0))), qu(cond(axiom(186), 0), imp(cond(axiom(186), 0))), % 56.04/8.60 qu(cond(axiom(188), 0), imp(cond(axiom(188), 0))), qu(cond(axiom(19), 0), % 56.04/8.60 imp(cond(axiom(19), 0))), qu(cond(axiom(190), 0), imp(cond(axiom(190), 0))), % 56.04/8.60 qu(cond(axiom(192), 0), imp(cond(axiom(192), 0))), qu(cond(axiom(194), 0), % 56.04/8.60 imp(cond(axiom(194), 0))), qu(cond(axiom(196), 0), imp(cond(axiom(196), 0))), % 56.04/8.60 qu(cond(axiom(198), 0), imp(cond(axiom(198), 0))), qu(cond(axiom(200), 0), % 56.04/8.60 imp(cond(axiom(200), 0))), qu(cond(axiom(202), 0), imp(cond(axiom(202), 0))), % 56.04/8.60 qu(cond(axiom(204), 0), imp(cond(axiom(204), 0))), qu(cond(axiom(21), 0), % 56.04/8.60 imp(cond(axiom(21), 0))), qu(cond(axiom(23), 0), imp(cond(axiom(23), 0))), % 56.04/8.60 qu(cond(axiom(25), 0), imp(cond(axiom(25), 0))), qu(cond(axiom(27), 0), % 56.04/8.60 imp(cond(axiom(27), 0))), qu(cond(axiom(29), 0), imp(cond(axiom(29), 0))), % 56.04/8.60 qu(cond(axiom(3), 0), imp(cond(axiom(3), 0))), qu(cond(axiom(31), 0), % 56.04/8.60 imp(cond(axiom(31), 0))), qu(cond(axiom(33), 0), imp(cond(axiom(33), 0))), % 56.04/8.60 qu(cond(axiom(35), 0), imp(cond(axiom(35), 0))), qu(cond(axiom(37), 0), % 56.04/8.60 imp(cond(axiom(37), 0))), qu(cond(axiom(39), 0), imp(cond(axiom(39), 0))), % 56.04/8.60 qu(cond(axiom(41), 0), imp(cond(axiom(41), 0))), qu(cond(axiom(43), 0), % 56.04/8.60 imp(cond(axiom(43), 0))), qu(cond(axiom(45), 0), imp(cond(axiom(45), 0))), % 56.04/8.60 qu(cond(axiom(47), 0), imp(cond(axiom(47), 0))), qu(cond(axiom(49), 0), % 56.04/8.60 imp(cond(axiom(49), 0))), qu(cond(axiom(51), 0), imp(cond(axiom(51), 0))), % 56.04/8.60 qu(cond(axiom(53), 0), imp(cond(axiom(53), 0))), qu(cond(axiom(55), 0), % 56.04/8.60 imp(cond(axiom(55), 0))), qu(cond(axiom(57), 0), imp(cond(axiom(57), 0))), % 56.04/8.60 qu(cond(axiom(59), 0), imp(cond(axiom(59), 0))), qu(cond(axiom(61), 0), % 56.04/8.60 imp(cond(axiom(61), 0))), qu(cond(axiom(63), 0), imp(cond(axiom(63), 0))), % 56.04/8.60 qu(cond(axiom(65), 0), imp(cond(axiom(65), 0))), qu(cond(axiom(67), 0), % 56.04/8.60 imp(cond(axiom(67), 0))), qu(cond(axiom(69), 0), imp(cond(axiom(69), 0))), % 56.04/8.60 qu(cond(axiom(7), 0), imp(cond(axiom(7), 0))), qu(cond(axiom(71), 0), % 56.04/8.60 imp(cond(axiom(71), 0))), qu(cond(axiom(73), 0), imp(cond(axiom(73), 0))), % 56.04/8.60 qu(cond(axiom(75), 0), imp(cond(axiom(75), 0))), qu(cond(axiom(77), 0), % 56.04/8.60 imp(cond(axiom(77), 0))), qu(cond(axiom(79), 0), imp(cond(axiom(79), 0))), % 56.04/8.60 qu(cond(axiom(81), 0), imp(cond(axiom(81), 0))), qu(cond(axiom(85), 0), % 56.04/8.60 imp(cond(axiom(85), 0))), qu(cond(axiom(87), 0), imp(cond(axiom(87), 0))), % 56.04/8.60 qu(cond(axiom(89), 0), imp(cond(axiom(89), 0))), qu(cond(axiom(9), 0), % 56.04/8.60 imp(cond(axiom(9), 0))), qu(cond(axiom(91), 0), imp(cond(axiom(91), 0))), % 56.04/8.60 qu(cond(axiom(93), 0), imp(cond(axiom(93), 0))), qu(cond(axiom(95), 0), % 56.04/8.60 imp(cond(axiom(95), 0))), qu(cond(axiom(97), 0), imp(cond(axiom(97), 0))), % 56.04/8.60 qu(cond(axiom(99), 0), imp(cond(axiom(99), 0))) % 56.04/8.60 % 56.04/8.60 Those formulas are unsatisfiable: % 56.04/8.60 --------------------------------- % 56.04/8.60 % 56.04/8.60 Begin of proof % 56.04/8.60 | % 56.04/8.60 | ALPHA: (and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), % 56.04/8.60 | and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))) % 56.04/8.60 | implies: % 56.04/8.60 | (1) rR(vd1289, vd1287, vd1302) = 0 % 56.04/8.60 | (2) rpoint(vd1302) = 0 % 56.04/8.60 | % 56.04/8.60 | ALPHA: (pred(s2(plural(347)), 0)) implies: % 56.04/8.60 | (3) ron(vd1289, vd1297) = 0 % 56.04/8.60 | % 56.04/8.60 | ALPHA: (pred(s1(plural(347)), 0)) implies: % 56.04/8.60 | (4) ron(vd1287, vd1297) = 0 % 56.04/8.60 | % 56.04/8.60 | ALPHA: (pred(347, 0)) implies: % 56.04/8.60 | (5) rline(vd1297) = 0 % 56.04/8.60 | % 56.04/8.60 | ALPHA: (and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), % 56.04/8.60 | and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), % 56.04/8.60 | and(qe(s3(plural(345))), and(qe(s2(plural(345))), % 56.04/8.60 | qe(s1(plural(345)))))))))) implies: % 56.04/8.60 | (6) $i(vd1289) % 56.04/8.60 | (7) $i(vd1287) % 56.04/8.60 | (8) ? [v0: $i] : ( ~ (vd1288 = vd1287) & ~ (vd1288 = vd1289) & ~ (vd1287 % 56.04/8.60 | = vd1289) & vf(vd1287, vd1288) = v0 & vf(vd1287, vd1289) = v0 & % 56.04/8.60 | rpoint(vd1288) = 0 & rpoint(vd1287) = 0 & rpoint(vd1289) = 0 & % 56.04/8.60 | $i(v0)) % 56.04/8.60 | % 56.04/8.60 | ALPHA: (pred(conjunct2(349), 0)) implies: % 56.04/8.60 | (9) $i(vd1302) % 56.04/8.60 | (10) $i(vd1297) % 56.04/8.60 | (11) ? [v0: int] : ( ~ (v0 = 0) & ron(vd1302, vd1297) = v0) % 56.04/8.60 | % 56.04/8.60 | ALPHA: (function-axioms) implies: % 56.04/8.61 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 56.04/8.61 | : ! [v3: $i] : (v1 = v0 | ~ (ron(v3, v2) = v1) | ~ (ron(v3, v2) = % 56.04/8.61 | v0)) % 56.04/8.61 | % 56.04/8.61 | DELTA: instantiating (11) with fresh symbol all_112_0 gives: % 56.04/8.61 | (13) ~ (all_112_0 = 0) & ron(vd1302, vd1297) = all_112_0 % 56.04/8.61 | % 56.04/8.61 | ALPHA: (13) implies: % 56.04/8.61 | (14) ~ (all_112_0 = 0) % 56.04/8.61 | (15) ron(vd1302, vd1297) = all_112_0 % 56.04/8.61 | % 56.04/8.61 | DELTA: instantiating (8) with fresh symbol all_114_0 gives: % 56.04/8.61 | (16) ~ (vd1288 = vd1287) & ~ (vd1288 = vd1289) & ~ (vd1287 = vd1289) & % 56.04/8.61 | vf(vd1287, vd1288) = all_114_0 & vf(vd1287, vd1289) = all_114_0 & % 56.04/8.61 | rpoint(vd1288) = 0 & rpoint(vd1287) = 0 & rpoint(vd1289) = 0 & % 56.04/8.61 | $i(all_114_0) % 56.04/8.61 | % 56.04/8.61 | ALPHA: (16) implies: % 56.04/8.61 | (17) rpoint(vd1289) = 0 % 56.04/8.61 | (18) rpoint(vd1287) = 0 % 56.04/8.61 | % 56.17/8.61 | GROUND_INST: instantiating (qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))) % 56.17/8.61 | with vd1287, vd1289, vd1302, vd1297, simplifying with (1), (2), % 56.17/8.61 | (4), (5), (6), (7), (9), (10), (17), (18) gives: % 56.17/8.61 | (19) ? [v0: any] : ? [v1: any] : (ron(vd1289, vd1297) = v0 & ron(vd1302, % 56.17/8.61 | vd1297) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 56.17/8.61 | % 56.17/8.61 | DELTA: instantiating (19) with fresh symbols all_170_0, all_170_1 gives: % 56.17/8.61 | (20) ron(vd1289, vd1297) = all_170_1 & ron(vd1302, vd1297) = all_170_0 & ( % 56.17/8.61 | ~ (all_170_1 = 0) | all_170_0 = 0) % 56.17/8.61 | % 56.17/8.61 | ALPHA: (20) implies: % 56.17/8.61 | (21) ron(vd1302, vd1297) = all_170_0 % 56.17/8.61 | (22) ron(vd1289, vd1297) = all_170_1 % 56.17/8.61 | (23) ~ (all_170_1 = 0) | all_170_0 = 0 % 56.17/8.61 | % 56.17/8.61 | GROUND_INST: instantiating (12) with all_112_0, all_170_0, vd1297, vd1302, % 56.17/8.61 | simplifying with (15), (21) gives: % 56.17/8.61 | (24) all_170_0 = all_112_0 % 56.17/8.61 | % 56.17/8.61 | GROUND_INST: instantiating (12) with 0, all_170_1, vd1297, vd1289, simplifying % 56.17/8.61 | with (3), (22) gives: % 56.17/8.61 | (25) all_170_1 = 0 % 56.17/8.61 | % 56.17/8.61 | BETA: splitting (23) gives: % 56.17/8.61 | % 56.17/8.61 | Case 1: % 56.17/8.61 | | % 56.17/8.61 | | (26) ~ (all_170_1 = 0) % 56.17/8.61 | | % 56.17/8.61 | | REDUCE: (25), (26) imply: % 56.17/8.61 | | (27) $false % 56.17/8.61 | | % 56.17/8.61 | | CLOSE: (27) is inconsistent. % 56.17/8.61 | | % 56.17/8.61 | Case 2: % 56.17/8.62 | | % 56.17/8.62 | | (28) all_170_0 = 0 % 56.17/8.62 | | % 56.17/8.62 | | COMBINE_EQS: (24), (28) imply: % 56.17/8.62 | | (29) all_112_0 = 0 % 56.17/8.62 | | % 56.17/8.62 | | SIMP: (29) implies: % 56.17/8.62 | | (30) all_112_0 = 0 % 56.17/8.62 | | % 56.17/8.62 | | REDUCE: (14), (30) imply: % 56.17/8.62 | | (31) $false % 56.17/8.62 | | % 56.17/8.62 | | CLOSE: (31) is inconsistent. % 56.17/8.62 | | % 56.17/8.62 | End of split % 56.17/8.62 | % 56.17/8.62 End of proof % 56.17/8.62 % SZS output end Proof for theBenchmark % 56.17/8.62 % 56.17/8.62 7990ms %------------------------------------------------------------------------------