TSTP Solution File: GRP001-4 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP001-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n032.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 : 600s
% DateTime : Sat Jul 16 10:28:20 EDT 2022
% Result : Unsatisfiable 0.09s 0.29s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.09 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Tue Jun 14 06:10:12 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.09/0.28 3001: Facts:
% 0.09/0.28 3001: Id : 2, {_}:
% 0.09/0.28 multiply (multiply ?2 ?3) ?4 =?= multiply ?2 (multiply ?3 ?4)
% 0.09/0.28 [4, 3, 2] by associativity ?2 ?3 ?4
% 0.09/0.28 3001: Id : 3, {_}: multiply identity ?6 =>= ?6 [6] by left_identity ?6
% 0.09/0.28 3001: Id : 4, {_}: multiply ?8 ?8 =>= identity [8] by squareness ?8
% 0.09/0.28 3001: Id : 5, {_}: multiply a b =>= c [] by a_times_b_is_c
% 0.09/0.28 3001: Goal:
% 0.09/0.28 3001: Id : 1, {_}: multiply b a =>= c [] by prove_b_times_a_is_c
% 0.09/0.29 Statistics :
% 0.09/0.29 Max weight : 16
% 0.09/0.29 Found proof, 0.009373s
% 0.09/0.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.09/0.29 % SZS output start CNFRefutation for theBenchmark.p
% 0.09/0.29 Id : 3, {_}: multiply identity ?6 =>= ?6 [6] by left_identity ?6
% 0.09/0.29 Id : 5, {_}: multiply a b =>= c [] by a_times_b_is_c
% 0.09/0.29 Id : 4, {_}: multiply ?8 ?8 =>= identity [8] by squareness ?8
% 0.09/0.29 Id : 2, {_}: multiply (multiply ?2 ?3) ?4 =?= multiply ?2 (multiply ?3 ?4) [4, 3, 2] by associativity ?2 ?3 ?4
% 0.09/0.29 Id : 133, {_}: multiply (multiply ?241 ?242) ?242 =>= multiply ?241 identity [242, 241] by Super 2 with 4 at 2,3
% 0.09/0.29 Id : 32, {_}: multiply (multiply ?89 a) b =>= multiply ?89 c [89] by Super 2 with 5 at 2,3
% 0.09/0.29 Id : 140, {_}: multiply (multiply ?259 c) b =>= multiply (multiply ?259 a) identity [259] by Super 133 with 32 at 1,2
% 0.09/0.29 Id : 136, {_}: multiply identity ?250 =?= multiply ?250 identity [250] by Super 133 with 4 at 1,2
% 0.09/0.29 Id : 156, {_}: ?250 =<= multiply ?250 identity [250] by Demod 136 with 3 at 2
% 0.09/0.29 Id : 221, {_}: multiply (multiply ?339 c) b =>= multiply ?339 a [339] by Demod 140 with 156 at 3
% 0.09/0.29 Id : 38, {_}: multiply (multiply ?101 a) b =>= multiply ?101 c [101] by Super 2 with 5 at 2,3
% 0.09/0.29 Id : 41, {_}: multiply identity b =>= multiply a c [] by Super 38 with 4 at 1,2
% 0.09/0.29 Id : 46, {_}: b =<= multiply a c [] by Demod 41 with 3 at 2
% 0.09/0.29 Id : 144, {_}: multiply b c =<= multiply a identity [] by Super 133 with 46 at 1,2
% 0.09/0.29 Id : 193, {_}: multiply b c =>= a [] by Demod 144 with 156 at 3
% 0.09/0.29 Id : 227, {_}: multiply a b =>= multiply b a [] by Super 221 with 193 at 1,2
% 0.09/0.29 Id : 237, {_}: c =<= multiply b a [] by Demod 227 with 5 at 2
% 0.09/0.29 Id : 264, {_}: c === c [] by Demod 1 with 237 at 2
% 0.09/0.29 Id : 1, {_}: multiply b a =>= c [] by prove_b_times_a_is_c
% 0.09/0.29 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.29 3004: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.010083 using nrkbo
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