%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n017.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 : Thu Jul 14 23:44:09 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 19:29:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 31186: Facts:
% 0.13/0.35 31186: Id : 2, {_}:
% 0.13/0.35 multiply (multiply ?2 ?3 ?4) ?5 (multiply ?2 ?3 ?6)
% 0.13/0.35 =>=
% 0.13/0.35 multiply ?2 ?3 (multiply ?4 ?5 ?6)
% 0.13/0.35 [6, 5, 4, 3, 2] by associativity ?2 ?3 ?4 ?5 ?6
% 0.13/0.35 31186: Id : 3, {_}: multiply ?8 ?9 ?9 =>= ?9 [9, 8] by ternary_multiply_1 ?8 ?9
% 0.13/0.35 31186: Id : 4, {_}:
% 0.13/0.35 multiply ?11 ?11 ?12 =>= ?11
% 0.13/0.35 [12, 11] by ternary_multiply_2 ?11 ?12
% 0.13/0.35 31186: Id : 5, {_}:
% 0.13/0.35 multiply (inverse ?14) ?14 ?15 =>= ?15
% 0.13/0.35 [15, 14] by left_inverse ?14 ?15
% 0.13/0.35 31186: Id : 6, {_}:
% 0.13/0.35 multiply ?17 ?18 (inverse ?18) =>= ?17
% 0.13/0.35 [18, 17] by right_inverse ?17 ?18
% 0.13/0.35 31186: Goal:
% 0.13/0.35 31186: Id : 1, {_}: inverse (inverse a) =>= a [] by prove_inverse_is_self_cancelling
% 0.13/0.36 Statistics :
% 0.13/0.36 Max weight : 34
% 0.13/0.36 Found proof, 0.019681s
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.36 Id : 4, {_}: multiply ?11 ?11 ?12 =>= ?11 [12, 11] by ternary_multiply_2 ?11 ?12
% 0.13/0.37 Id : 3, {_}: multiply ?8 ?9 ?9 =>= ?9 [9, 8] by ternary_multiply_1 ?8 ?9
% 0.13/0.37 Id : 2, {_}: multiply (multiply ?2 ?3 ?4) ?5 (multiply ?2 ?3 ?6) =>= multiply ?2 ?3 (multiply ?4 ?5 ?6) [6, 5, 4, 3, 2] by associativity ?2 ?3 ?4 ?5 ?6
% 0.13/0.37 Id : 6, {_}: multiply ?17 ?18 (inverse ?18) =>= ?17 [18, 17] by right_inverse ?17 ?18
% 0.13/0.37 Id : 68, {_}: multiply ?206 ?207 ?208 =<= multiply ?206 ?207 (multiply ?209 (multiply ?206 ?207 ?208) ?208) [209, 208, 207, 206] by Super 2 with 3 at 2
% 0.13/0.37 Id : 77, {_}: multiply ?251 ?252 ?253 =<= multiply ?251 ?252 (multiply ?251 ?252 ?253) [253, 252, 251] by Super 68 with 4 at 3,3
% 0.13/0.37 Id : 108, {_}: multiply (multiply ?277 ?278 ?279) ?280 (multiply ?277 ?278 ?281) =?= multiply ?277 ?278 (multiply ?279 ?280 (multiply ?277 ?278 ?281)) [281, 280, 279, 278, 277] by Super 2 with 77 at 3,2
% 0.13/0.37 Id : 291, {_}: multiply ?704 ?705 (multiply ?706 ?707 ?708) =<= multiply ?704 ?705 (multiply ?706 ?707 (multiply ?704 ?705 ?708)) [708, 707, 706, 705, 704] by Demod 108 with 2 at 2
% 0.13/0.37 Id : 177, {_}: multiply ?432 ?433 ?434 =<= multiply ?432 ?433 (multiply ?434 (multiply ?432 ?433 ?434) ?435) [435, 434, 433, 432] by Super 2 with 4 at 2
% 0.13/0.37 Id : 182, {_}: multiply ?456 ?457 (inverse ?457) =<= multiply ?456 ?457 (multiply (inverse ?457) ?456 ?458) [458, 457, 456] by Super 177 with 6 at 2,3,3
% 0.13/0.37 Id : 218, {_}: ?456 =<= multiply ?456 ?457 (multiply (inverse ?457) ?456 ?458) [458, 457, 456] by Demod 182 with 6 at 2
% 0.13/0.37 Id : 314, {_}: multiply (inverse ?833) ?834 (multiply ?834 ?833 ?835) =>= multiply (inverse ?833) ?834 ?834 [835, 834, 833] by Super 291 with 218 at 3,3
% 0.13/0.37 Id : 380, {_}: multiply (inverse ?929) ?930 (multiply ?930 ?929 ?931) =>= ?930 [931, 930, 929] by Demod 314 with 3 at 3
% 0.13/0.37 Id : 382, {_}: multiply (inverse ?939) ?940 ?939 =>= ?940 [940, 939] by Super 380 with 3 at 3,2
% 0.13/0.37 Id : 430, {_}: ?1028 =<= inverse (inverse ?1028) [1028] by Super 6 with 382 at 2
% 0.13/0.37 Id : 460, {_}: a === a [] by Demod 1 with 430 at 2
% 0.13/0.37 Id : 1, {_}: inverse (inverse a) =>= a [] by prove_inverse_is_self_cancelling
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 31189: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.021026 using nrkbo
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