TSTP Solution File: GRP002-10 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP002-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n010.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 10:28:21 EDT 2022
% Result : Timeout 300.28s 75.40s
% Output : None
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP002-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n010.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 17:28:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 20231: Facts:
% 0.12/0.33 20231: Id : 2, {_}: ifeq2 ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.12/0.33 20231: Id : 3, {_}: ifeq ?6 ?6 ?7 ?8 =>= ?7 [8, 7, 6] by ifeq_axiom_001 ?6 ?7 ?8
% 0.12/0.33 20231: Id : 4, {_}: product identity ?10 ?10 =>= true [10] by left_identity ?10
% 0.12/0.33 20231: Id : 5, {_}: product ?12 identity ?12 =>= true [12] by right_identity ?12
% 0.12/0.33 20231: Id : 6, {_}:
% 0.12/0.33 product (inverse ?14) ?14 identity =>= true
% 0.12/0.33 [14] by left_inverse ?14
% 0.12/0.33 20231: Id : 7, {_}:
% 0.12/0.33 product ?16 (inverse ?16) identity =>= true
% 0.12/0.33 [16] by right_inverse ?16
% 0.12/0.33 20231: Id : 8, {_}:
% 0.12/0.33 product ?18 ?19 (multiply ?18 ?19) =>= true
% 0.12/0.33 [19, 18] by total_function1 ?18 ?19
% 0.12/0.33 20231: Id : 9, {_}:
% 0.12/0.33 ifeq2 (product ?21 ?22 ?23) true
% 0.12/0.33 (ifeq2 (product ?21 ?22 ?24) true ?24 ?23) ?23
% 0.12/0.33 =>=
% 0.12/0.33 ?23
% 0.12/0.33 [24, 23, 22, 21] by total_function2 ?21 ?22 ?23 ?24
% 0.12/0.33 20231: Id : 10, {_}:
% 0.12/0.33 ifeq (product ?26 ?27 ?28) true
% 0.12/0.33 (ifeq (product ?29 ?27 ?30) true
% 0.12/0.33 (ifeq (product ?31 ?29 ?26) true (product ?31 ?30 ?28) true)
% 0.12/0.33 true) true
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [31, 30, 29, 28, 27, 26] by associativity1 ?26 ?27 ?28 ?29 ?30 ?31
% 0.12/0.33 20231: Id : 11, {_}:
% 0.12/0.33 ifeq (product ?33 ?34 ?35) true
% 0.12/0.33 (ifeq (product ?36 ?35 ?37) true
% 0.12/0.33 (ifeq (product ?36 ?33 ?38) true (product ?38 ?34 ?37) true)
% 0.12/0.33 true) true
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [38, 37, 36, 35, 34, 33] by associativity2 ?33 ?34 ?35 ?36 ?37 ?38
% 0.12/0.33 20231: Id : 12, {_}:
% 0.12/0.33 ifeq (product ?40 ?40 ?41) true (product ?40 ?41 identity) true
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [41, 40] by x_cubed_is_identity_1 ?40 ?41
% 0.12/0.33 20231: Id : 13, {_}:
% 0.12/0.33 ifeq (product ?43 ?43 ?44) true (product ?44 ?43 identity) true
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [44, 43] by x_cubed_is_identity_2 ?43 ?44
% 0.12/0.33 20231: Id : 14, {_}: product a b c =>= true [] by a_times_b_is_c
% 0.12/0.33 20231: Id : 15, {_}: product c (inverse a) d =>= true [] by c_times_inverse_a_is_d
% 0.12/0.33 20231: Id : 16, {_}: product d (inverse b) h =>= true [] by d_times_inverse_b_is_h
% 0.12/0.33 20231: Id : 17, {_}: product h b j =>= true [] by h_times_b_is_j
% 0.12/0.33 20231: Id : 18, {_}: product j (inverse h) k =>= true [] by j_times_inverse_h_is_k
% 0.12/0.33 20231: Goal:
% 0.12/0.33 20231: Id : 1, {_}:
% 0.12/0.33 product k (inverse b) identity =>= true
% 0.12/0.33 [] by prove_k_times_inverse_b_is_e
% 300.28/75.40 % SZS status Timeout for theBenchmark.p
% 300.28/75.40 % SZS status Timeout for theBenchmark.p
% 300.28/75.40 % SZS status Timeout for theBenchmark.p
% 300.28/75.40 % SZS status Timeout for theBenchmark.p
% 300.28/75.40 % SZS status Timeout for theBenchmark.p
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