TSTP Solution File: ARI689_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ARI689_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 : n014.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 17:48:49 EDT 2023
% Result : Theorem 3.98s 1.26s
% Output : Proof 3.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ARI689_1 : TPTP v8.1.2. Released v6.3.0.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n014.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 18:24:45 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 ________ _____
% 0.20/0.58 ___ __ \_________(_)________________________________
% 0.20/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.58
% 0.20/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.58 (2023-06-19)
% 0.20/0.58
% 0.20/0.58 (c) Philipp Rümmer, 2009-2023
% 0.20/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.58 Amanda Stjerna.
% 0.20/0.58 Free software under BSD-3-Clause.
% 0.20/0.58
% 0.20/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.58
% 0.20/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.59 Running up to 7 provers in parallel.
% 0.20/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.03/0.98 Prover 5: Preprocessing ...
% 2.03/0.98 Prover 3: Preprocessing ...
% 2.03/0.98 Prover 4: Preprocessing ...
% 2.03/0.98 Prover 1: Preprocessing ...
% 2.03/0.98 Prover 0: Preprocessing ...
% 2.03/0.99 Prover 6: Preprocessing ...
% 2.03/0.99 Prover 2: Preprocessing ...
% 2.50/1.04 Prover 1: Constructing countermodel ...
% 2.50/1.04 Prover 3: Constructing countermodel ...
% 2.50/1.04 Prover 0: Constructing countermodel ...
% 2.50/1.04 Prover 2: Constructing countermodel ...
% 2.50/1.04 Prover 5: Constructing countermodel ...
% 2.50/1.04 Prover 6: Constructing countermodel ...
% 2.50/1.04 Prover 4: Constructing countermodel ...
% 3.98/1.25 Prover 0: proved (653ms)
% 3.98/1.26
% 3.98/1.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.98/1.26
% 3.98/1.26 Prover 6: proved (649ms)
% 3.98/1.26
% 3.98/1.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.98/1.26
% 3.98/1.27 Prover 2: stopped
% 3.98/1.27 Prover 5: stopped
% 3.98/1.27 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 3.98/1.27 Prover 3: proved (659ms)
% 3.98/1.27
% 3.98/1.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.98/1.27
% 3.98/1.27 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 3.98/1.27 Prover 7: Preprocessing ...
% 3.98/1.27 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 3.98/1.27 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 3.98/1.27 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 3.98/1.28 Prover 10: Preprocessing ...
% 3.98/1.29 Prover 8: Preprocessing ...
% 3.98/1.29 Prover 11: Preprocessing ...
% 3.98/1.29 Prover 4: Found proof (size 49)
% 3.98/1.29 Prover 4: proved (683ms)
% 3.98/1.29 Prover 7: Constructing countermodel ...
% 3.98/1.29 Prover 7: stopped
% 3.98/1.29 Prover 1: Found proof (size 49)
% 3.98/1.29 Prover 1: proved (693ms)
% 3.98/1.30 Prover 13: Preprocessing ...
% 3.98/1.30 Prover 10: Constructing countermodel ...
% 3.98/1.30 Prover 10: stopped
% 3.98/1.30 Prover 11: Constructing countermodel ...
% 3.98/1.30 Prover 11: stopped
% 3.98/1.30 Prover 8: Constructing countermodel ...
% 3.98/1.30 Prover 8: stopped
% 3.98/1.30 Prover 13: Constructing countermodel ...
% 3.98/1.30 Prover 13: stopped
% 3.98/1.31
% 3.98/1.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.98/1.31
% 3.98/1.32 % SZS output start Proof for theBenchmark
% 3.98/1.32 Assumptions after simplification:
% 3.98/1.32 ---------------------------------
% 3.98/1.32
% 3.98/1.32 (conj)
% 3.98/1.33 ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ? [v4: int] : ?
% 3.98/1.33 [v5: int] : ? [v6: int] : ? [v7: int] : ( ~
% 3.98/1.33 ($sum($difference($difference($product(2523496, v7), $product(2427, v5)),
% 3.98/1.33 $product(166, v3)), v1) = 0) & $product(v6, b) = v7 & $product(v4, a)
% 3.98/1.33 = v5 & $product(v2, a) = v3 & $product(v0, b) = v1 & $product(x, b) = v2 &
% 3.98/1.33 $product(x, x) = v4 & $product(y, b) = v6 & $product(y, x) = v0)
% 3.98/1.33
% 3.98/1.33 (eq1)
% 3.98/1.33 a = $product(98164184, y)
% 3.98/1.33
% 3.98/1.33 (eq2)
% 3.98/1.33 b = $product(6472, x)
% 3.98/1.33
% 3.98/1.33 Those formulas are unsatisfiable:
% 3.98/1.33 ---------------------------------
% 3.98/1.33
% 3.98/1.33 Begin of proof
% 3.98/1.33 |
% 3.98/1.33 | DELTA: instantiating (conj) with fresh symbols all_3_0, all_3_1, all_3_2,
% 3.98/1.33 | all_3_3, all_3_4, all_3_5, all_3_6, all_3_7 gives:
% 3.98/1.34 | (1) ~ ($sum($difference($difference($product(2523496, all_3_0),
% 3.98/1.34 | $product(2427, all_3_2)), $product(166, all_3_4)), all_3_6) =
% 3.98/1.34 | 0) & $product(all_3_1, b) = all_3_0 & $product(all_3_3, a) = all_3_2
% 3.98/1.34 | & $product(all_3_5, a) = all_3_4 & $product(all_3_7, b) = all_3_6 &
% 3.98/1.34 | $product(x, b) = all_3_5 & $product(x, x) = all_3_3 & $product(y, b) =
% 3.98/1.34 | all_3_1 & $product(y, x) = all_3_7
% 3.98/1.34 |
% 3.98/1.34 | ALPHA: (1) implies:
% 3.98/1.34 | (2) ~ ($sum($difference($difference($product(2523496, all_3_0),
% 3.98/1.34 | $product(2427, all_3_2)), $product(166, all_3_4)), all_3_6) =
% 3.98/1.34 | 0)
% 3.98/1.34 | (3) $product(y, x) = all_3_7
% 3.98/1.34 | (4) $product(y, b) = all_3_1
% 3.98/1.34 | (5) $product(x, x) = all_3_3
% 3.98/1.34 | (6) $product(x, b) = all_3_5
% 3.98/1.34 | (7) $product(all_3_7, b) = all_3_6
% 3.98/1.34 | (8) $product(all_3_5, a) = all_3_4
% 3.98/1.34 | (9) $product(all_3_3, a) = all_3_2
% 3.98/1.34 | (10) $product(all_3_1, b) = all_3_0
% 3.98/1.34 |
% 3.98/1.34 | REDUCE: (10), (eq2) imply:
% 3.98/1.34 | (11) $product(all_3_1, $product(6472, x)) = all_3_0
% 3.98/1.34 |
% 3.98/1.34 | REDUCE: (9), (eq1) imply:
% 3.98/1.34 | (12) $product(all_3_3, $product(98164184, y)) = all_3_2
% 3.98/1.34 |
% 3.98/1.34 | REDUCE: (8), (eq1) imply:
% 3.98/1.34 | (13) $product(all_3_5, $product(98164184, y)) = all_3_4
% 3.98/1.34 |
% 3.98/1.34 | REDUCE: (7), (eq2) imply:
% 3.98/1.34 | (14) $product(all_3_7, $product(6472, x)) = all_3_6
% 3.98/1.34 |
% 3.98/1.34 | REDUCE: (6), (eq2) imply:
% 3.98/1.35 | (15) $product(x, $product(6472, x)) = all_3_5
% 3.98/1.35 |
% 3.98/1.35 | REDUCE: (4), (eq2) imply:
% 3.98/1.35 | (16) $product(y, $product(6472, x)) = all_3_1
% 3.98/1.35 |
% 3.98/1.35 | THEORY_AXIOM GroebnerMultiplication:
% 3.98/1.35 | (17) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 3.98/1.35 | int] : ! [v5: int] : (v5 = $product(98164184, v3) | ~
% 3.98/1.35 | ($product(v4, $product(98164184, v0)) = v5) | ~ ($product(v2,
% 3.98/1.35 | $product(6472, v1)) = v3) | ~ ($product(v1, $product(6472, v1))
% 3.98/1.35 | = v4) | ~ ($product(v0, v1) = v2))
% 3.98/1.35 |
% 3.98/1.35 | GROUND_INST: instantiating (17) with y, x, all_3_7, all_3_6, all_3_5, all_3_4,
% 3.98/1.35 | simplifying with (3), (13), (14), (15) gives:
% 3.98/1.35 | (18) all_3_4 = $product(98164184, all_3_6)
% 3.98/1.35 |
% 3.98/1.35 | THEORY_AXIOM GroebnerMultiplication:
% 3.98/1.35 | (19) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 3.98/1.35 | int] : ! [v5: int] : ($product(809, v5) = $product(12270523, v3) |
% 3.98/1.35 | ~ ($product(v4, $product(98164184, v0)) = v5) | ~ ($product(v2,
% 3.98/1.35 | $product(6472, v1)) = v3) | ~ ($product(v1, v1) = v4) | ~
% 3.98/1.35 | ($product(v0, v1) = v2))
% 3.98/1.35 |
% 3.98/1.35 | GROUND_INST: instantiating (19) with y, x, all_3_7, all_3_6, all_3_3, all_3_2,
% 3.98/1.35 | simplifying with (3), (5), (12), (14) gives:
% 3.98/1.35 | (20) $product(809, all_3_2) = $product(12270523, all_3_6)
% 3.98/1.35 |
% 3.98/1.35 | THEORY_AXIOM GroebnerMultiplication:
% 3.98/1.35 | (21) ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4:
% 3.98/1.35 | int] : ! [v5: int] : (v5 = $product(6472, v3) | ~ ($product(v4,
% 3.98/1.35 | $product(6472, v1)) = v5) | ~ ($product(v2, $product(6472, v1))
% 3.98/1.35 | = v3) | ~ ($product(v0, $product(6472, v1)) = v4) | ~
% 3.98/1.35 | ($product(v0, v1) = v2))
% 3.98/1.35 |
% 3.98/1.35 | GROUND_INST: instantiating (21) with y, x, all_3_7, all_3_6, all_3_1, all_3_0,
% 3.98/1.35 | simplifying with (3), (11), (14), (16) gives:
% 3.98/1.35 | (22) all_3_0 = $product(6472, all_3_6)
% 3.98/1.35 |
% 3.98/1.35 | COL_REDUCE: introducing fresh symbol sc_8_0_0 defined by:
% 3.98/1.35 | (23) $difference(all_3_2, $product(15168, all_3_6)) = sc_8_0_0
% 3.98/1.35 |
% 3.98/1.35 | COMBINE_EQS: (20), (23) imply:
% 3.98/1.35 | (24) $sum($product(389, all_3_6), $product(809, sc_8_0_0)) = 0
% 3.98/1.35 |
% 3.98/1.35 | COMBINE_EQS: (18), (24) imply:
% 3.98/1.36 | (25) $sum($difference(all_3_4, $product(34, all_3_6)), $product(204151150,
% 3.98/1.36 | sc_8_0_0)) = 0
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (23), (24) imply:
% 3.98/1.36 | (26) $sum($sum(all_3_2, $product(3, all_3_6)), $product(31550, sc_8_0_0)) =
% 3.98/1.36 | 0
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (22), (24) imply:
% 3.98/1.36 | (27) $sum($sum(all_3_0, $product(141, all_3_6)), $product(13753, sc_8_0_0))
% 3.98/1.36 | = 0
% 3.98/1.36 |
% 3.98/1.36 | COL_REDUCE: introducing fresh symbol sc_8_0_2 defined by:
% 3.98/1.36 | (28) $sum(all_3_6, $product(2, sc_8_0_0)) = sc_8_0_2
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (24), (28) imply:
% 3.98/1.36 | (29) $sum($product(31, sc_8_0_0), $product(389, sc_8_0_2)) = 0
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (25), (28), (29) imply:
% 3.98/1.36 | (30) $sum(all_3_4, $product(5, sc_8_0_0)) = $product(2561768481, sc_8_0_2)
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (26), (28), (29) imply:
% 3.98/1.36 | (31) $difference(all_3_2, $product(14, sc_8_0_0)) = $product(395999,
% 3.98/1.36 | sc_8_0_2)
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (27), (28), (29) imply:
% 3.98/1.36 | (32) $difference(all_3_0, $product(14, sc_8_0_0)) = $product(169074,
% 3.98/1.36 | sc_8_0_2)
% 3.98/1.36 |
% 3.98/1.36 | COL_REDUCE: introducing fresh symbol sc_8_0_3 defined by:
% 3.98/1.36 | (33) $sum(sc_8_0_0, $product(13, sc_8_0_2)) = sc_8_0_3
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (29), (33) imply:
% 3.98/1.36 | (34) $product(14, sc_8_0_2) = $product(31, sc_8_0_3)
% 3.98/1.36 |
% 3.98/1.36 | SIMP: (34) implies:
% 3.98/1.36 | (35) $product(14, sc_8_0_2) = $product(31, sc_8_0_3)
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (33), (35) imply:
% 3.98/1.36 | (36) $sum($difference(sc_8_0_0, sc_8_0_2), $product(30, sc_8_0_3)) = 0
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (28), (36) imply:
% 3.98/1.36 | (37) $sum(all_3_6, sc_8_0_2) = $product(60, sc_8_0_3)
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (30), (35), (36) imply:
% 3.98/1.36 | (38) $sum(all_3_4, $product(6, sc_8_0_2)) = $product(5672487503, sc_8_0_3)
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (31), (35), (36) imply:
% 3.98/1.36 | (39) $sum(all_3_2, $product(5, sc_8_0_2)) = $product(876477, sc_8_0_3)
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (32), (35), (36) imply:
% 3.98/1.36 | (40) $sum(all_3_0, $product(4, sc_8_0_2)) = $product(373998, sc_8_0_3)
% 3.98/1.36 |
% 3.98/1.36 | COL_REDUCE: introducing fresh symbol sc_8_0_4 defined by:
% 3.98/1.36 | (41) $difference(sc_8_0_2, $product(2, sc_8_0_3)) = sc_8_0_4
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (35), (41) imply:
% 3.98/1.36 | (42) $product(3, sc_8_0_3) = $product(14, sc_8_0_4)
% 3.98/1.36 |
% 3.98/1.36 | SIMP: (42) implies:
% 3.98/1.36 | (43) $product(3, sc_8_0_3) = $product(14, sc_8_0_4)
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (41), (43) imply:
% 3.98/1.36 | (44) $sum(sc_8_0_2, sc_8_0_3) = $product(15, sc_8_0_4)
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (37), (43), (44) imply:
% 3.98/1.36 | (45) $difference(all_3_6, sc_8_0_3) = $product(265, sc_8_0_4)
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (38), (43), (44) imply:
% 3.98/1.36 | (46) $sum(all_3_4, sc_8_0_3) = $product(26471608290, sc_8_0_4)
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (39), (43), (44) imply:
% 3.98/1.36 | (47) $sum(all_3_2, sc_8_0_3) = $product(4090179, sc_8_0_4)
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (40), (43), (44) imply:
% 3.98/1.36 | (48) $difference(all_3_0, sc_8_0_3) = $product(1745278, sc_8_0_4)
% 3.98/1.36 |
% 3.98/1.36 | COL_REDUCE: introducing fresh symbol sc_8_0_5 defined by:
% 3.98/1.36 | (49) $difference(sc_8_0_3, $product(5, sc_8_0_4)) = sc_8_0_5
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (43), (49) imply:
% 3.98/1.36 | (50) $sum(sc_8_0_4, $product(3, sc_8_0_5)) = 0
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (49), (50) imply:
% 3.98/1.36 | (51) $sum(sc_8_0_3, $product(14, sc_8_0_5)) = 0
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (45), (50), (51) imply:
% 3.98/1.36 | (52) $sum(all_3_6, $product(809, sc_8_0_5)) = 0
% 3.98/1.36 |
% 3.98/1.36 | COMBINE_EQS: (46), (50), (51) imply:
% 3.98/1.37 | (53) $sum(all_3_4, $product(79414824856, sc_8_0_5)) = 0
% 3.98/1.37 |
% 3.98/1.37 | COMBINE_EQS: (47), (50), (51) imply:
% 3.98/1.37 | (54) $sum(all_3_2, $product(12270523, sc_8_0_5)) = 0
% 3.98/1.37 |
% 3.98/1.37 | COMBINE_EQS: (48), (50), (51) imply:
% 3.98/1.37 | (55) $sum(all_3_0, $product(5235848, sc_8_0_5)) = 0
% 3.98/1.37 |
% 3.98/1.37 | REDUCE: (2), (52), (53), (54), (55) imply:
% 3.98/1.37 | (56) $false
% 3.98/1.37 |
% 3.98/1.37 | CLOSE: (56) is inconsistent.
% 3.98/1.37 |
% 3.98/1.37 End of proof
% 3.98/1.37 % SZS output end Proof for theBenchmark
% 3.98/1.37
% 3.98/1.37 786ms
%------------------------------------------------------------------------------