%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP010-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n025.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 10:28:24 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 06:41:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 23139: Facts:
% 0.12/0.33 23139: Id : 2, {_}:
% 0.12/0.33 multiply (multiply ?2 ?3) ?4 =?= multiply ?2 (multiply ?3 ?4)
% 0.12/0.33 [4, 3, 2] by associativity ?2 ?3 ?4
% 0.12/0.33 23139: Id : 3, {_}: multiply identity ?6 =>= ?6 [6] by left_identity ?6
% 0.12/0.33 23139: Id : 4, {_}: multiply (inverse ?8) ?8 =>= identity [8] by left_inverse ?8
% 0.12/0.33 23139: Id : 5, {_}: multiply c b =>= identity [] by c_times_b_is_e
% 0.12/0.33 23139: Goal:
% 0.12/0.33 23139: Id : 1, {_}: multiply b c =>= identity [] by prove_b_times_c_is_e
% 0.12/0.34 Statistics :
% 0.12/0.34 Max weight : 16
% 0.12/0.34 Found proof, 0.005198s
% 0.12/0.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.34 Id : 5, {_}: multiply c b =>= identity [] by c_times_b_is_e
% 0.12/0.34 Id : 3, {_}: multiply identity ?6 =>= ?6 [6] by left_identity ?6
% 0.12/0.34 Id : 2, {_}: multiply (multiply ?2 ?3) ?4 =?= multiply ?2 (multiply ?3 ?4) [4, 3, 2] by associativity ?2 ?3 ?4
% 0.12/0.34 Id : 4, {_}: multiply (inverse ?8) ?8 =>= identity [8] by left_inverse ?8
% 0.12/0.34 Id : 55, {_}: multiply (multiply ?125 identity) ?126 =>= multiply ?125 ?126 [126, 125] by Super 2 with 3 at 2,3
% 0.12/0.34 Id : 35, {_}: multiply (multiply ?90 c) b =>= multiply ?90 identity [90] by Super 2 with 5 at 2,3
% 0.12/0.34 Id : 38, {_}: multiply identity b =<= multiply (inverse c) identity [] by Super 35 with 4 at 1,2
% 0.12/0.34 Id : 43, {_}: b =<= multiply (inverse c) identity [] by Demod 38 with 3 at 2
% 0.12/0.34 Id : 60, {_}: multiply b ?139 =<= multiply (inverse c) ?139 [139] by Super 55 with 43 at 1,2
% 0.12/0.34 Id : 74, {_}: multiply b c =>= identity [] by Super 4 with 60 at 2
% 0.12/0.34 Id : 98, {_}: identity === identity [] by Demod 1 with 74 at 2
% 0.12/0.34 Id : 1, {_}: multiply b c =>= identity [] by prove_b_times_c_is_e
% 0.12/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.34 23142: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.005982 using nrkbo
%------------------------------------------------------------------------------