%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n026.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 : Sun Apr 6 10:08:52 AM UTC 2025 % Result : Theorem 7.72s 1.80s % Output : Proof 9.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0. % 0.14/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.35 % Computer : n026.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 : Sun Apr 6 03:03:08 EDT 2025 % 0.21/0.35 % CPUTime : % 0.55/0.63 ________ _____ % 0.55/0.63 ___ __ \_________(_)________________________________ % 0.55/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.55/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.55/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.55/0.63 % 0.55/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.55/0.63 (2023-06-19) % 0.55/0.63 % 0.55/0.63 (c) Philipp Rümmer, 2009-2023 % 0.55/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.55/0.63 Amanda Stjerna. % 0.55/0.63 Free software under BSD-3-Clause. % 0.55/0.63 % 0.55/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.55/0.63 % 0.55/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.68/0.64 Running up to 7 provers in parallel. % 0.75/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.75/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.75/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.75/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.75/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.75/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.75/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.39/1.20 Prover 4: Preprocessing ... % 3.39/1.20 Prover 1: Preprocessing ... % 3.74/1.25 Prover 6: Preprocessing ... % 3.74/1.25 Prover 2: Preprocessing ... % 3.74/1.25 Prover 3: Preprocessing ... % 3.74/1.25 Prover 5: Preprocessing ... % 3.74/1.25 Prover 0: Preprocessing ... % 6.43/1.62 Prover 5: Proving ... % 6.43/1.62 Prover 6: Proving ... % 6.43/1.62 Prover 2: Proving ... % 6.43/1.65 Prover 0: Proving ... % 6.43/1.65 Prover 3: Constructing countermodel ... % 6.43/1.65 Prover 1: Constructing countermodel ... % 6.84/1.67 Prover 4: Constructing countermodel ... % 7.72/1.80 Prover 3: proved (1144ms) % 7.72/1.80 % 7.72/1.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.72/1.80 % 7.72/1.80 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.72/1.80 Prover 2: stopped % 7.72/1.80 Prover 6: stopped % 7.72/1.81 Prover 0: stopped % 7.72/1.82 Prover 5: stopped % 7.72/1.82 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.72/1.82 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.72/1.82 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 7.94/1.83 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.00/1.87 Prover 4: Found proof (size 28) % 8.00/1.87 Prover 4: proved (1214ms) % 8.00/1.88 Prover 1: stopped % 8.00/1.90 Prover 10: Preprocessing ... % 8.00/1.90 Prover 7: Preprocessing ... % 8.00/1.90 Prover 13: Preprocessing ... % 8.52/1.91 Prover 8: Preprocessing ... % 8.52/1.93 Prover 11: Preprocessing ... % 8.52/1.94 Prover 7: stopped % 8.52/1.94 Prover 10: stopped % 8.52/1.96 Prover 13: stopped % 9.00/1.98 Prover 11: stopped % 9.00/2.04 Prover 8: Warning: ignoring some quantifiers % 9.00/2.05 Prover 8: Constructing countermodel ... % 9.47/2.06 Prover 8: stopped % 9.47/2.06 % 9.47/2.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 9.47/2.06 % 9.47/2.07 % SZS output start Proof for theBenchmark % 9.47/2.07 Assumptions after simplification: % 9.47/2.07 --------------------------------- % 9.47/2.07 % 9.47/2.07 (f__integer__def_ax) % 9.59/2.09 ! [v0: int] : ! [v1: general] : ! [v2: general] : (v2 = v1 | ~ % 9.59/2.09 (f__integer__(v0) = v2) | ~ (f__integer__(v0) = v1)) & ! [v0: int] : ! % 9.59/2.09 [v1: int] : ! [v2: general] : (v1 = v0 | ~ (f__integer__(v1) = v2) | ~ % 9.59/2.09 (f__integer__(v0) = v2)) % 9.59/2.09 % 9.59/2.09 (formula_2_left_0) % 9.59/2.09 ! [v0: general] : ! [v1: general] : ! [v2: general] : ! [v3: int] : ! % 9.59/2.09 [v4: int] : (v3 = 0 | ~ (tp(v0, v2) = 0) | ~ (tq(v0, v1) = v3) | ~ % 9.59/2.09 (f__integer__($sum(v4, 1)) = v1) | ~ general(v2) | ~ general(v1) | ~ % 9.59/2.09 general(v0) | ? [v5: general] : ( ~ (v5 = v2) & f__integer__(v4) = v5 & % 9.59/2.09 general(v5))) & ! [v0: general] : ! [v1: general] : ! [v2: general] : % 9.59/2.09 ! [v3: int] : ! [v4: int] : (v3 = 0 | ~ (hp(v0, v2) = 0) | ~ (hq(v0, v1) = % 9.59/2.09 v3) | ~ (f__integer__($sum(v4, 1)) = v1) | ~ general(v2) | ~ % 9.59/2.09 general(v1) | ~ general(v0) | ? [v5: general] : ( ~ (v5 = v2) & % 9.59/2.09 f__integer__(v4) = v5 & general(v5))) % 9.59/2.09 % 9.59/2.10 (formula_3_right_0) % 9.59/2.10 ? [v0: general] : ? [v1: general] : ? [v2: any] : ? [v3: any] : ? [v4: % 9.59/2.10 general] : ? [v5: general] : ? [v6: int] : ? [v7: int] : ? [v8: int] : % 9.59/2.10 ? [v9: general] : ? [v10: general] : ? [v11: general] : ? [v12: general] : % 9.59/2.10 ? [v13: int] : ? [v14: int] : ? [v15: int] : ? [v16: general] : ? [v17: % 9.59/2.10 general] : (tq(v0, v1) = v3 & hq(v0, v1) = v2 & general(v12) & general(v11) % 9.59/2.10 & general(v5) & general(v4) & general(v1) & general(v0) & ((v17 = v1 & v16 = % 9.59/2.10 v12 & v15 = 1 & v13 = 0 & v11 = v0 & ~ (v2 = 0) & hp(v0, v12) = 0 & % 9.59/2.10 f__integer__($sum(v14, -1)) = v12 & f__integer__(v14) = v1) | (v10 = v1 % 9.59/2.10 & v9 = v5 & v8 = 1 & v6 = 0 & v4 = v0 & ~ (v3 = 0) & tp(v0, v5) = 0 & % 9.59/2.10 f__integer__($sum(v7, -1)) = v5 & f__integer__(v7) = v1))) % 9.59/2.10 % 9.59/2.10 Further assumptions not needed in the proof: % 9.59/2.10 -------------------------------------------- % 9.59/2.10 antisymmetric_ordering_ax, f__symbolic__def_ax, formula_0_transition_axiom_0, % 9.59/2.10 formula_1_transition_axiom_1, general_universe_ax, maximal_element_ax, % 9.59/2.10 minimal_element_ax, numeral_ordering_ax, numerals_less_than_symbols_ax, % 9.59/2.10 p__greater__def_ax, p__greater_equal__def_ax, p__is_integer__def_ax, % 9.59/2.10 p__is_symbolic__def_ax, p__less__def_ax, strongly_connected_ordering_ax, % 9.59/2.10 transitive_ordering_ax % 9.59/2.10 % 9.59/2.10 Those formulas are unsatisfiable: % 9.59/2.10 --------------------------------- % 9.59/2.10 % 9.59/2.10 Begin of proof % 9.59/2.10 | % 9.59/2.10 | ALPHA: (f__integer__def_ax) implies: % 9.59/2.10 | (1) ! [v0: int] : ! [v1: general] : ! [v2: general] : (v2 = v1 | ~ % 9.59/2.10 | (f__integer__(v0) = v2) | ~ (f__integer__(v0) = v1)) % 9.59/2.10 | % 9.59/2.10 | ALPHA: (formula_2_left_0) implies: % 9.59/2.10 | (2) ! [v0: general] : ! [v1: general] : ! [v2: general] : ! [v3: int] : % 9.59/2.10 | ! [v4: int] : (v3 = 0 | ~ (hp(v0, v2) = 0) | ~ (hq(v0, v1) = v3) | % 9.59/2.10 | ~ (f__integer__($sum(v4, 1)) = v1) | ~ general(v2) | ~ general(v1) % 9.59/2.10 | | ~ general(v0) | ? [v5: general] : ( ~ (v5 = v2) & % 9.59/2.10 | f__integer__(v4) = v5 & general(v5))) % 9.59/2.11 | (3) ! [v0: general] : ! [v1: general] : ! [v2: general] : ! [v3: int] : % 9.59/2.11 | ! [v4: int] : (v3 = 0 | ~ (tp(v0, v2) = 0) | ~ (tq(v0, v1) = v3) | % 9.59/2.11 | ~ (f__integer__($sum(v4, 1)) = v1) | ~ general(v2) | ~ general(v1) % 9.59/2.11 | | ~ general(v0) | ? [v5: general] : ( ~ (v5 = v2) & % 9.59/2.11 | f__integer__(v4) = v5 & general(v5))) % 9.59/2.11 | % 9.59/2.11 | DELTA: instantiating (formula_3_right_0) with fresh symbols all_26_0, % 9.59/2.11 | all_26_1, all_26_2, all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, % 9.59/2.11 | all_26_8, all_26_9, all_26_10, all_26_11, all_26_12, all_26_13, % 9.59/2.11 | all_26_14, all_26_15, all_26_16, all_26_17 gives: % 9.59/2.11 | (4) tq(all_26_17, all_26_16) = all_26_14 & hq(all_26_17, all_26_16) = % 9.59/2.11 | all_26_15 & general(all_26_5) & general(all_26_6) & general(all_26_12) % 9.59/2.11 | & general(all_26_13) & general(all_26_16) & general(all_26_17) & % 9.59/2.11 | ((all_26_0 = all_26_16 & all_26_1 = all_26_5 & all_26_2 = 1 & all_26_4 % 9.59/2.11 | = 0 & all_26_6 = all_26_17 & ~ (all_26_15 = 0) & hp(all_26_17, % 9.59/2.11 | all_26_5) = 0 & f__integer__($sum(all_26_3, -1)) = all_26_5 & % 9.59/2.11 | f__integer__(all_26_3) = all_26_16) | (all_26_7 = all_26_16 & % 9.59/2.11 | all_26_8 = all_26_12 & all_26_9 = 1 & all_26_11 = 0 & all_26_13 = % 9.59/2.11 | all_26_17 & ~ (all_26_14 = 0) & tp(all_26_17, all_26_12) = 0 & % 9.59/2.11 | f__integer__($sum(all_26_10, -1)) = all_26_12 & % 9.59/2.11 | f__integer__(all_26_10) = all_26_16)) % 9.59/2.11 | % 9.59/2.11 | ALPHA: (4) implies: % 9.59/2.11 | (5) general(all_26_16) % 9.59/2.11 | (6) general(all_26_13) % 9.59/2.11 | (7) general(all_26_12) % 9.59/2.11 | (8) general(all_26_6) % 9.59/2.11 | (9) general(all_26_5) % 9.59/2.11 | (10) hq(all_26_17, all_26_16) = all_26_15 % 9.59/2.11 | (11) tq(all_26_17, all_26_16) = all_26_14 % 9.59/2.11 | (12) (all_26_0 = all_26_16 & all_26_1 = all_26_5 & all_26_2 = 1 & all_26_4 % 9.59/2.11 | = 0 & all_26_6 = all_26_17 & ~ (all_26_15 = 0) & hp(all_26_17, % 9.59/2.11 | all_26_5) = 0 & f__integer__($sum(all_26_3, -1)) = all_26_5 & % 9.59/2.11 | f__integer__(all_26_3) = all_26_16) | (all_26_7 = all_26_16 & % 9.59/2.11 | all_26_8 = all_26_12 & all_26_9 = 1 & all_26_11 = 0 & all_26_13 = % 9.59/2.11 | all_26_17 & ~ (all_26_14 = 0) & tp(all_26_17, all_26_12) = 0 & % 9.59/2.11 | f__integer__($sum(all_26_10, -1)) = all_26_12 & % 9.59/2.11 | f__integer__(all_26_10) = all_26_16) % 9.59/2.11 | % 9.59/2.11 | BETA: splitting (12) gives: % 9.59/2.11 | % 9.59/2.11 | Case 1: % 9.59/2.11 | | % 9.59/2.11 | | (13) all_26_0 = all_26_16 & all_26_1 = all_26_5 & all_26_2 = 1 & all_26_4 % 9.59/2.11 | | = 0 & all_26_6 = all_26_17 & ~ (all_26_15 = 0) & hp(all_26_17, % 9.59/2.11 | | all_26_5) = 0 & f__integer__($sum(all_26_3, -1)) = all_26_5 & % 9.59/2.11 | | f__integer__(all_26_3) = all_26_16 % 9.59/2.11 | | % 9.59/2.11 | | ALPHA: (13) implies: % 9.59/2.11 | | (14) all_26_6 = all_26_17 % 9.59/2.11 | | (15) ~ (all_26_15 = 0) % 9.59/2.11 | | (16) f__integer__(all_26_3) = all_26_16 % 9.59/2.11 | | (17) f__integer__($sum(all_26_3, -1)) = all_26_5 % 9.59/2.11 | | (18) hp(all_26_17, all_26_5) = 0 % 9.59/2.11 | | % 9.59/2.11 | | REDUCE: (8), (14) imply: % 9.59/2.11 | | (19) general(all_26_17) % 9.59/2.11 | | % 9.59/2.11 | | GROUND_INST: instantiating (2) with all_26_17, all_26_16, all_26_5, % 9.59/2.11 | | all_26_15, $sum(all_26_3, -1), simplifying with (5), (9), (10), % 9.59/2.11 | | (16), (18), (19) gives: % 9.59/2.12 | | (20) all_26_15 = 0 | ? [v0: any] : ( ~ (v0 = all_26_5) & % 9.59/2.12 | | f__integer__($sum(all_26_3, -1)) = v0 & general(v0)) % 9.59/2.12 | | % 9.59/2.12 | | BETA: splitting (20) gives: % 9.59/2.12 | | % 9.59/2.12 | | Case 1: % 9.59/2.12 | | | % 9.59/2.12 | | | (21) all_26_15 = 0 % 9.59/2.12 | | | % 9.59/2.12 | | | REDUCE: (15), (21) imply: % 9.59/2.12 | | | (22) $false % 9.59/2.12 | | | % 9.59/2.12 | | | CLOSE: (22) is inconsistent. % 9.59/2.12 | | | % 9.59/2.12 | | Case 2: % 9.59/2.12 | | | % 9.59/2.12 | | | (23) ? [v0: any] : ( ~ (v0 = all_26_5) & f__integer__($sum(all_26_3, % 9.59/2.12 | | | -1)) = v0 & general(v0)) % 9.59/2.12 | | | % 9.59/2.12 | | | DELTA: instantiating (23) with fresh symbol all_45_0 gives: % 9.59/2.12 | | | (24) ~ (all_45_0 = all_26_5) & f__integer__($sum(all_26_3, -1)) = % 9.59/2.12 | | | all_45_0 & general(all_45_0) % 9.59/2.12 | | | % 9.59/2.12 | | | ALPHA: (24) implies: % 9.59/2.12 | | | (25) ~ (all_45_0 = all_26_5) % 9.59/2.12 | | | (26) f__integer__($sum(all_26_3, -1)) = all_45_0 % 9.59/2.12 | | | % 9.59/2.12 | | | GROUND_INST: instantiating (1) with $sum(all_26_3, -1), all_26_5, % 9.59/2.12 | | | all_45_0, simplifying with (17), (26) gives: % 9.59/2.12 | | | (27) all_45_0 = all_26_5 % 9.59/2.12 | | | % 9.59/2.12 | | | REDUCE: (25), (27) imply: % 9.59/2.12 | | | (28) $false % 9.59/2.12 | | | % 9.59/2.12 | | | CLOSE: (28) is inconsistent. % 9.59/2.12 | | | % 9.59/2.12 | | End of split % 9.59/2.12 | | % 9.59/2.12 | Case 2: % 9.59/2.12 | | % 9.59/2.12 | | (29) all_26_7 = all_26_16 & all_26_8 = all_26_12 & all_26_9 = 1 & % 9.59/2.12 | | all_26_11 = 0 & all_26_13 = all_26_17 & ~ (all_26_14 = 0) & % 9.59/2.12 | | tp(all_26_17, all_26_12) = 0 & f__integer__($sum(all_26_10, -1)) = % 9.59/2.12 | | all_26_12 & f__integer__(all_26_10) = all_26_16 % 9.59/2.12 | | % 9.59/2.12 | | ALPHA: (29) implies: % 9.59/2.12 | | (30) all_26_13 = all_26_17 % 9.59/2.12 | | (31) ~ (all_26_14 = 0) % 9.59/2.12 | | (32) f__integer__(all_26_10) = all_26_16 % 9.59/2.12 | | (33) f__integer__($sum(all_26_10, -1)) = all_26_12 % 9.59/2.12 | | (34) tp(all_26_17, all_26_12) = 0 % 9.59/2.12 | | % 9.59/2.12 | | REDUCE: (6), (30) imply: % 9.59/2.12 | | (35) general(all_26_17) % 9.59/2.12 | | % 9.59/2.12 | | GROUND_INST: instantiating (3) with all_26_17, all_26_16, all_26_12, % 9.59/2.12 | | all_26_14, $sum(all_26_10, -1), simplifying with (5), (7), % 9.59/2.12 | | (11), (32), (34), (35) gives: % 9.59/2.12 | | (36) all_26_14 = 0 | ? [v0: any] : ( ~ (v0 = all_26_12) & % 9.59/2.12 | | f__integer__($sum(all_26_10, -1)) = v0 & general(v0)) % 9.59/2.12 | | % 9.59/2.12 | | BETA: splitting (36) gives: % 9.59/2.12 | | % 9.59/2.12 | | Case 1: % 9.59/2.12 | | | % 9.59/2.12 | | | (37) all_26_14 = 0 % 9.76/2.12 | | | % 9.76/2.12 | | | REDUCE: (31), (37) imply: % 9.76/2.12 | | | (38) $false % 9.76/2.12 | | | % 9.76/2.12 | | | CLOSE: (38) is inconsistent. % 9.76/2.12 | | | % 9.76/2.12 | | Case 2: % 9.76/2.12 | | | % 9.76/2.12 | | | (39) ? [v0: any] : ( ~ (v0 = all_26_12) & f__integer__($sum(all_26_10, % 9.76/2.12 | | | -1)) = v0 & general(v0)) % 9.76/2.12 | | | % 9.76/2.12 | | | DELTA: instantiating (39) with fresh symbol all_55_0 gives: % 9.76/2.12 | | | (40) ~ (all_55_0 = all_26_12) & f__integer__($sum(all_26_10, -1)) = % 9.76/2.12 | | | all_55_0 & general(all_55_0) % 9.76/2.12 | | | % 9.76/2.12 | | | ALPHA: (40) implies: % 9.76/2.12 | | | (41) ~ (all_55_0 = all_26_12) % 9.76/2.12 | | | (42) f__integer__($sum(all_26_10, -1)) = all_55_0 % 9.76/2.12 | | | % 9.76/2.12 | | | GROUND_INST: instantiating (1) with $sum(all_26_10, -1), all_26_12, % 9.76/2.12 | | | all_55_0, simplifying with (33), (42) gives: % 9.76/2.12 | | | (43) all_55_0 = all_26_12 % 9.76/2.12 | | | % 9.76/2.13 | | | REDUCE: (41), (43) imply: % 9.76/2.13 | | | (44) $false % 9.76/2.13 | | | % 9.76/2.13 | | | CLOSE: (44) is inconsistent. % 9.76/2.13 | | | % 9.76/2.13 | | End of split % 9.76/2.13 | | % 9.76/2.13 | End of split % 9.76/2.13 | % 9.76/2.13 End of proof % 9.76/2.13 % SZS output end Proof for theBenchmark % 9.76/2.13 % 9.76/2.13 1495ms %------------------------------------------------------------------------------