TSTP Solution File: ARI700_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ARI700_1 : TPTP v8.1.2. Released v6.3.0.
% 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 17:48:52 EDT 2023
% Result : Theorem 3.83s 1.38s
% Output : Proof 4.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI700_1 : TPTP v8.1.2. Released v6.3.0.
% 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 18:48:28 EDT 2023
% 0.13/0.35 % 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/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.63 Running up to 7 provers in parallel.
% 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.31/1.07 Prover 0: Preprocessing ...
% 2.31/1.07 Prover 6: Preprocessing ...
% 2.31/1.07 Prover 2: Preprocessing ...
% 2.31/1.07 Prover 4: Preprocessing ...
% 2.31/1.07 Prover 5: Preprocessing ...
% 2.31/1.07 Prover 1: Preprocessing ...
% 2.31/1.07 Prover 3: Preprocessing ...
% 2.57/1.13 Prover 1: Constructing countermodel ...
% 2.57/1.13 Prover 0: Constructing countermodel ...
% 2.57/1.13 Prover 2: Constructing countermodel ...
% 2.57/1.13 Prover 4: Constructing countermodel ...
% 2.57/1.13 Prover 6: Constructing countermodel ...
% 2.57/1.13 Prover 3: Constructing countermodel ...
% 2.57/1.13 Prover 5: Constructing countermodel ...
% 3.83/1.38 Prover 2: proved (743ms)
% 3.83/1.38 Prover 6: proved (740ms)
% 3.83/1.38 Prover 5: proved (743ms)
% 3.83/1.38
% 3.83/1.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.83/1.38
% 3.83/1.38 Prover 0: proved (743ms)
% 3.83/1.38
% 3.83/1.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.83/1.38
% 3.83/1.39
% 3.83/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.83/1.39
% 3.83/1.39
% 3.83/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.83/1.39
% 3.83/1.39 Prover 3: proved (744ms)
% 3.83/1.39
% 3.83/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.83/1.39
% 3.83/1.39 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 3.83/1.39 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 3.83/1.39 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 3.83/1.39 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 3.83/1.39 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 3.83/1.40 Prover 8: Preprocessing ...
% 3.83/1.40 Prover 7: Preprocessing ...
% 3.83/1.40 Prover 10: Preprocessing ...
% 3.83/1.40 Prover 13: Preprocessing ...
% 3.83/1.41 Prover 8: Constructing countermodel ...
% 3.83/1.41 Prover 10: Constructing countermodel ...
% 3.83/1.43 Prover 13: Constructing countermodel ...
% 3.83/1.43 Prover 7: Constructing countermodel ...
% 3.83/1.43 Prover 11: Preprocessing ...
% 4.59/1.44 Prover 11: Constructing countermodel ...
% 4.59/1.46 Prover 4: Found proof (size 53)
% 4.59/1.46 Prover 1: Found proof (size 53)
% 4.59/1.46 Prover 4: proved (818ms)
% 4.59/1.46 Prover 1: proved (820ms)
% 4.59/1.46 Prover 10: stopped
% 4.59/1.46 Prover 11: stopped
% 4.59/1.47 Prover 8: stopped
% 4.59/1.47 Prover 7: stopped
% 4.59/1.47 Prover 13: stopped
% 4.59/1.47
% 4.59/1.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.59/1.47
% 4.59/1.48 % SZS output start Proof for theBenchmark
% 4.59/1.48 Assumptions after simplification:
% 4.59/1.48 ---------------------------------
% 4.59/1.48
% 4.59/1.48 (conj)
% 4.59/1.49 ? [v0: int] : ? [v1: int] : ? [v2: int] : ( ~ ($product(12270523, v2) =
% 4.59/1.49 $product(5235848, v1)) & $product(v0, a) = v1 & $product($product(123, b),
% 4.59/1.49 b) = v2 & $product($product(123, x), x) = v0)
% 4.59/1.49
% 4.59/1.49 (eq1)
% 4.59/1.49 $product($product(98164184, y), y) = a
% 4.59/1.49
% 4.59/1.49 (eq2)
% 4.59/1.49 $product($product(6472, x), y) = b
% 4.59/1.49
% 4.59/1.49 Those formulas are unsatisfiable:
% 4.59/1.49 ---------------------------------
% 4.59/1.49
% 4.59/1.49 Begin of proof
% 4.59/1.49 |
% 4.59/1.49 | DELTA: instantiating (conj) with fresh symbols all_3_0, all_3_1, all_3_2
% 4.59/1.49 | gives:
% 4.59/1.49 | (1) ~ ($product(12270523, all_3_0) = $product(5235848, all_3_1)) &
% 4.59/1.49 | $product(all_3_2, a) = all_3_1 & $product($product(123, b), b) =
% 4.59/1.49 | all_3_0 & $product($product(123, x), x) = all_3_2
% 4.59/1.50 |
% 4.59/1.50 | ALPHA: (1) implies:
% 4.59/1.50 | (2) ~ ($product(12270523, all_3_0) = $product(5235848, all_3_1))
% 4.59/1.50 | (3) $product($product(123, x), x) = all_3_2
% 4.59/1.50 | (4) $product($product(123, b), b) = all_3_0
% 4.59/1.50 | (5) $product(all_3_2, a) = all_3_1
% 4.59/1.50 |
% 4.59/1.50 | THEORY_AXIOM GroebnerMultiplication:
% 4.96/1.50 | (6) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 4.96/1.50 | int] : ! [v5: int] : ! [v6: int] : ($product(12270523, v6) =
% 4.96/1.50 | $product(5235848, v5) | ~ ($product(v4, v1) = v5) | ~
% 4.96/1.50 | ($product($product(123, v3), v3) = v6) | ~ ($product($product(6472,
% 4.96/1.50 | v2), v0) = v3) | ~ ($product($product(123, v2), v2) = v4) | ~
% 4.96/1.50 | ($product($product(98164184, v0), v0) = v1))
% 4.96/1.50 |
% 4.96/1.50 | GROUND_INST: instantiating (6) with y, a, x, b, all_3_2, all_3_1, all_3_0,
% 4.96/1.50 | simplifying with (3), (4), (5), (eq1), (eq2) gives:
% 4.96/1.50 | (7) $product(12270523, all_3_0) = $product(5235848, all_3_1)
% 4.96/1.50 |
% 4.96/1.50 | COL_REDUCE: introducing fresh symbol sc_8_0_0 defined by:
% 4.96/1.50 | (8) all_3_0 = sc_8_0_0
% 4.96/1.50 |
% 4.96/1.50 | COMBINE_EQS: (7), (8) imply:
% 4.96/1.50 | (9) $product(5235848, all_3_1) = $product(12270523, sc_8_0_0)
% 4.96/1.50 |
% 4.96/1.50 | SIMP: (9) implies:
% 4.96/1.50 | (10) $product(5235848, all_3_1) = $product(12270523, sc_8_0_0)
% 4.96/1.50 |
% 4.96/1.50 | COL_REDUCE: introducing fresh symbol sc_8_0_1 defined by:
% 4.96/1.50 | (11) $difference(all_3_1, $product(2, sc_8_0_0)) = sc_8_0_1
% 4.96/1.50 |
% 4.96/1.50 | COMBINE_EQS: (10), (11) imply:
% 4.96/1.50 | (12) $product(1798827, sc_8_0_0) = $product(5235848, sc_8_0_1)
% 4.96/1.50 |
% 4.96/1.51 | SIMP: (12) implies:
% 4.96/1.51 | (13) $product(1798827, sc_8_0_0) = $product(5235848, sc_8_0_1)
% 4.96/1.51 |
% 4.96/1.51 | COL_REDUCE: introducing fresh symbol sc_8_0_2 defined by:
% 4.96/1.51 | (14) $difference(sc_8_0_0, $product(3, sc_8_0_1)) = sc_8_0_2
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (13), (14) imply:
% 4.96/1.51 | (15) $sum($product(160633, sc_8_0_1), $product(1798827, sc_8_0_2)) = 0
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (11), (14) imply:
% 4.96/1.51 | (16) $difference(all_3_1, $product(7, sc_8_0_1)) = $product(2, sc_8_0_2)
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (8), (14) imply:
% 4.96/1.51 | (17) $difference(all_3_0, $product(3, sc_8_0_1)) = sc_8_0_2
% 4.96/1.51 |
% 4.96/1.51 | COL_REDUCE: introducing fresh symbol sc_8_0_3 defined by:
% 4.96/1.51 | (18) $sum(sc_8_0_1, $product(11, sc_8_0_2)) = sc_8_0_3
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (15), (18) imply:
% 4.96/1.51 | (19) $sum($product(31864, sc_8_0_2), $product(160633, sc_8_0_3)) = 0
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (16), (18) imply:
% 4.96/1.51 | (20) $sum(all_3_1, $product(75, sc_8_0_2)) = $product(7, sc_8_0_3)
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (17), (18) imply:
% 4.96/1.51 | (21) $sum(all_3_0, $product(32, sc_8_0_2)) = $product(3, sc_8_0_3)
% 4.96/1.51 |
% 4.96/1.51 | COL_REDUCE: introducing fresh symbol sc_8_0_4 defined by:
% 4.96/1.51 | (22) $sum(sc_8_0_2, $product(5, sc_8_0_3)) = sc_8_0_4
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (19), (22) imply:
% 4.96/1.51 | (23) $sum($product(1313, sc_8_0_3), $product(31864, sc_8_0_4)) = 0
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (20), (22) imply:
% 4.96/1.51 | (24) $sum($difference(all_3_1, $product(382, sc_8_0_3)), $product(75,
% 4.96/1.51 | sc_8_0_4)) = 0
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (21), (22) imply:
% 4.96/1.51 | (25) $sum($difference(all_3_0, $product(163, sc_8_0_3)), $product(32,
% 4.96/1.51 | sc_8_0_4)) = 0
% 4.96/1.51 |
% 4.96/1.51 | COL_REDUCE: introducing fresh symbol sc_8_0_5 defined by:
% 4.96/1.51 | (26) $sum(sc_8_0_3, $product(24, sc_8_0_4)) = sc_8_0_5
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (23), (26) imply:
% 4.96/1.51 | (27) $sum($product(352, sc_8_0_4), $product(1313, sc_8_0_5)) = 0
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (24), (26), (27) imply:
% 4.96/1.51 | (28) $sum(all_3_1, $product(91, sc_8_0_4)) = $product(34520, sc_8_0_5)
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (25), (26), (27) imply:
% 4.96/1.51 | (29) $sum(all_3_0, $product(72, sc_8_0_4)) = $product(14606, sc_8_0_5)
% 4.96/1.51 |
% 4.96/1.51 | COL_REDUCE: introducing fresh symbol sc_8_0_6 defined by:
% 4.96/1.51 | (30) $sum(sc_8_0_4, $product(4, sc_8_0_5)) = sc_8_0_6
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (27), (30) imply:
% 4.96/1.51 | (31) $product(95, sc_8_0_5) = $product(352, sc_8_0_6)
% 4.96/1.51 |
% 4.96/1.51 | SIMP: (31) implies:
% 4.96/1.51 | (32) $product(95, sc_8_0_5) = $product(352, sc_8_0_6)
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (28), (30), (32) imply:
% 4.96/1.51 | (33) $difference(all_3_1, $product(19, sc_8_0_5)) = $product(129093,
% 4.96/1.51 | sc_8_0_6)
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (29), (30), (32) imply:
% 4.96/1.51 | (34) $sum(all_3_0, $product(21, sc_8_0_5)) = $product(55192, sc_8_0_6)
% 4.96/1.51 |
% 4.96/1.51 | COL_REDUCE: introducing fresh symbol sc_8_0_7 defined by:
% 4.96/1.51 | (35) $difference(sc_8_0_5, $product(4, sc_8_0_6)) = sc_8_0_7
% 4.96/1.51 |
% 4.96/1.51 | COMBINE_EQS: (32), (35) imply:
% 4.96/1.51 | (36) $sum($product(28, sc_8_0_6), $product(95, sc_8_0_7)) = 0
% 4.96/1.52 |
% 4.96/1.52 | COMBINE_EQS: (33), (35), (36) imply:
% 4.96/1.52 | (37) $sum($difference(all_3_1, $product(5, sc_8_0_6)), $product(438216,
% 4.96/1.52 | sc_8_0_7)) = 0
% 4.96/1.52 |
% 4.96/1.52 | COMBINE_EQS: (34), (35), (36) imply:
% 4.96/1.52 | (38) $sum($difference(all_3_0, $product(4, sc_8_0_6)), $product(186981,
% 4.96/1.52 | sc_8_0_7)) = 0
% 4.96/1.52 |
% 4.96/1.52 | COL_REDUCE: introducing fresh symbol sc_8_0_8 defined by:
% 4.96/1.52 | (39) $sum(sc_8_0_6, $product(3, sc_8_0_7)) = sc_8_0_8
% 4.96/1.52 |
% 4.96/1.52 | COMBINE_EQS: (36), (39) imply:
% 4.96/1.52 | (40) $sum($product(11, sc_8_0_7), $product(28, sc_8_0_8)) = 0
% 4.96/1.52 |
% 4.96/1.52 | COMBINE_EQS: (37), (39), (40) imply:
% 4.96/1.52 | (41) $sum(all_3_1, $product(2, sc_8_0_7)) = $product(1115497, sc_8_0_8)
% 4.96/1.52 |
% 4.96/1.52 | COMBINE_EQS: (38), (39), (40) imply:
% 4.96/1.52 | (42) $sum(all_3_0, $product(4, sc_8_0_7)) = $product(475976, sc_8_0_8)
% 4.96/1.52 |
% 4.96/1.52 | COL_REDUCE: introducing fresh symbol sc_8_0_9 defined by:
% 4.96/1.52 | (43) $sum(sc_8_0_7, $product(3, sc_8_0_8)) = sc_8_0_9
% 4.96/1.52 |
% 4.96/1.52 | COMBINE_EQS: (40), (43) imply:
% 4.96/1.52 | (44) $product(5, sc_8_0_8) = $product(11, sc_8_0_9)
% 4.96/1.52 |
% 4.96/1.52 | SIMP: (44) implies:
% 4.96/1.52 | (45) $product(5, sc_8_0_8) = $product(11, sc_8_0_9)
% 4.96/1.52 |
% 4.96/1.52 | COMBINE_EQS: (43), (45) imply:
% 4.96/1.52 | (46) $sum($difference(sc_8_0_7, $product(2, sc_8_0_8)), $product(10,
% 4.96/1.52 | sc_8_0_9)) = 0
% 4.96/1.52 |
% 4.96/1.52 | COMBINE_EQS: (41), (45), (46) imply:
% 4.96/1.52 | (47) $sum(all_3_1, $product(2, sc_8_0_8)) = $product(2454109, sc_8_0_9)
% 4.96/1.52 |
% 4.96/1.52 | COMBINE_EQS: (42), (45), (46) imply:
% 4.96/1.52 | (48) $sum(all_3_0, $product(2, sc_8_0_8)) = $product(1047174, sc_8_0_9)
% 4.96/1.52 |
% 4.96/1.52 | COL_REDUCE: introducing fresh symbol sc_8_0_10 defined by:
% 4.96/1.52 | (49) $difference(sc_8_0_8, $product(2, sc_8_0_9)) = sc_8_0_10
% 4.96/1.52 |
% 4.96/1.52 | COMBINE_EQS: (45), (49) imply:
% 4.96/1.52 | (50) sc_8_0_9 = $product(5, sc_8_0_10)
% 4.96/1.52 |
% 4.96/1.52 | SIMP: (50) implies:
% 4.96/1.52 | (51) sc_8_0_9 = $product(5, sc_8_0_10)
% 4.96/1.52 |
% 4.96/1.52 | COMBINE_EQS: (49), (51) imply:
% 4.96/1.52 | (52) sc_8_0_8 = $product(11, sc_8_0_10)
% 4.96/1.52 |
% 4.96/1.52 | COMBINE_EQS: (47), (51), (52) imply:
% 4.96/1.52 | (53) all_3_1 = $product(12270523, sc_8_0_10)
% 4.96/1.52 |
% 4.96/1.52 | COMBINE_EQS: (48), (51), (52) imply:
% 4.96/1.52 | (54) all_3_0 = $product(5235848, sc_8_0_10)
% 4.96/1.52 |
% 4.96/1.52 | REDUCE: (2), (53), (54) imply:
% 4.96/1.52 | (55) $false
% 4.96/1.52 |
% 4.96/1.52 | CLOSE: (55) is inconsistent.
% 4.96/1.52 |
% 4.96/1.52 End of proof
% 4.96/1.52 % SZS output end Proof for theBenchmark
% 4.96/1.52
% 4.96/1.52 906ms
%------------------------------------------------------------------------------