TSTP Solution File: GRP001-2 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n029.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 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 18:44:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 4760: Facts:
% 0.14/0.35 4760: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.14/0.35 4760: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.14/0.35 4760: Id : 4, {_}:
% 0.14/0.35 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.14/0.35 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.14/0.35 4760: Id : 5, {_}: multiply ?10 identity =>= ?10 [10] by right_identity ?10
% 0.14/0.35 4760: Id : 6, {_}:
% 0.14/0.35 multiply ?12 (inverse ?12) =>= identity
% 0.14/0.35 [12] by right_inverse ?12
% 0.14/0.35 4760: Id : 7, {_}: multiply ?14 ?14 =>= identity [14] by squareness ?14
% 0.14/0.35 4760: Id : 8, {_}: multiply a b =>= c [] by a_times_b_is_c
% 0.14/0.35 4760: Goal:
% 0.14/0.35 4760: Id : 1, {_}: multiply b a =>= c [] by prove_b_times_a_is_c
% 0.14/0.35 Statistics :
% 0.14/0.35 Max weight : 9
% 0.14/0.35 Found proof, 0.008989s
% 0.14/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.14/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.14/0.35 Id : 8, {_}: multiply a b =>= c [] by a_times_b_is_c
% 0.14/0.35 Id : 4, {_}: multiply (multiply ?6 ?7) ?8 =>= multiply ?6 (multiply ?7 ?8) [8, 7, 6] by associativity ?6 ?7 ?8
% 0.14/0.35 Id : 5, {_}: multiply ?10 identity =>= ?10 [10] by right_identity ?10
% 0.14/0.35 Id : 7, {_}: multiply ?14 ?14 =>= identity [14] by squareness ?14
% 0.14/0.35 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.14/0.35 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.14/0.36 Id : 13, {_}: multiply (multiply ?24 ?25) ?26 =>= multiply ?24 (multiply ?25 ?26) [26, 25, 24] by associativity ?24 ?25 ?26
% 0.14/0.36 Id : 15, {_}: multiply identity ?31 =<= multiply (inverse ?32) (multiply ?32 ?31) [32, 31] by Super 13 with 3 at 1,2
% 0.14/0.36 Id : 19, {_}: ?31 =<= multiply (inverse ?32) (multiply ?32 ?31) [32, 31] by Demod 15 with 2 at 2
% 0.14/0.36 Id : 63, {_}: ?102 =<= multiply (inverse ?103) (multiply ?103 ?102) [103, 102] by Demod 15 with 2 at 2
% 0.14/0.36 Id : 69, {_}: ?117 =<= multiply (inverse ?117) identity [117] by Super 63 with 7 at 2,3
% 0.14/0.36 Id : 81, {_}: ?117 =<= inverse ?117 [117] by Demod 69 with 5 at 3
% 0.14/0.36 Id : 87, {_}: ?31 =<= multiply ?32 (multiply ?32 ?31) [32, 31] by Demod 19 with 81 at 1,3
% 0.14/0.36 Id : 53, {_}: multiply c ?90 =>= multiply a (multiply b ?90) [90] by Super 4 with 8 at 1,2
% 0.14/0.36 Id : 95, {_}: multiply a (multiply b c) =>= identity [] by Super 7 with 53 at 2
% 0.14/0.36 Id : 184, {_}: multiply b c =<= multiply a identity [] by Super 87 with 95 at 2,3
% 0.14/0.36 Id : 195, {_}: multiply b c =>= a [] by Demod 184 with 5 at 3
% 0.14/0.36 Id : 200, {_}: c =<= multiply b a [] by Super 87 with 195 at 2,3
% 0.14/0.36 Id : 215, {_}: c === c [] by Demod 1 with 200 at 2
% 0.14/0.36 Id : 1, {_}: multiply b a =>= c [] by prove_b_times_a_is_c
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.36 4762: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.01012 using lpo
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