TSTP Solution File: GRP444-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP444-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 11:19:07 EDT 2022
% Result : Unsatisfiable 0.87s 1.14s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP444-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 03:27:28 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.87/1.14 ============================== Prover9 ===============================
% 0.87/1.14 Prover9 (32) version 2009-11A, November 2009.
% 0.87/1.14 Process 2294 was started by sandbox2 on n018.cluster.edu,
% 0.87/1.14 Tue Jun 14 03:27:29 2022
% 0.87/1.14 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2141_n018.cluster.edu".
% 0.87/1.14 ============================== end of head ===========================
% 0.87/1.14
% 0.87/1.14 ============================== INPUT =================================
% 0.87/1.14
% 0.87/1.14 % Reading from file /tmp/Prover9_2141_n018.cluster.edu
% 0.87/1.14
% 0.87/1.14 set(prolog_style_variables).
% 0.87/1.14 set(auto2).
% 0.87/1.14 % set(auto2) -> set(auto).
% 0.87/1.14 % set(auto) -> set(auto_inference).
% 0.87/1.14 % set(auto) -> set(auto_setup).
% 0.87/1.14 % set(auto_setup) -> set(predicate_elim).
% 0.87/1.14 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.87/1.14 % set(auto) -> set(auto_limits).
% 0.87/1.14 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.87/1.14 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.87/1.14 % set(auto) -> set(auto_denials).
% 0.87/1.14 % set(auto) -> set(auto_process).
% 0.87/1.14 % set(auto2) -> assign(new_constants, 1).
% 0.87/1.14 % set(auto2) -> assign(fold_denial_max, 3).
% 0.87/1.14 % set(auto2) -> assign(max_weight, "200.000").
% 0.87/1.14 % set(auto2) -> assign(max_hours, 1).
% 0.87/1.14 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.87/1.14 % set(auto2) -> assign(max_seconds, 0).
% 0.87/1.14 % set(auto2) -> assign(max_minutes, 5).
% 0.87/1.14 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.87/1.14 % set(auto2) -> set(sort_initial_sos).
% 0.87/1.14 % set(auto2) -> assign(sos_limit, -1).
% 0.87/1.14 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.87/1.14 % set(auto2) -> assign(max_megs, 400).
% 0.87/1.14 % set(auto2) -> assign(stats, some).
% 0.87/1.14 % set(auto2) -> clear(echo_input).
% 0.87/1.14 % set(auto2) -> set(quiet).
% 0.87/1.14 % set(auto2) -> clear(print_initial_clauses).
% 0.87/1.14 % set(auto2) -> clear(print_given).
% 0.87/1.14 assign(lrs_ticks,-1).
% 0.87/1.14 assign(sos_limit,10000).
% 0.87/1.14 assign(order,kbo).
% 0.87/1.14 set(lex_order_vars).
% 0.87/1.14 clear(print_given).
% 0.87/1.14
% 0.87/1.14 % formulas(sos). % not echoed (2 formulas)
% 0.87/1.14
% 0.87/1.14 ============================== end of input ==========================
% 0.87/1.14
% 0.87/1.14 % From the command line: assign(max_seconds, 300).
% 0.87/1.14
% 0.87/1.14 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.87/1.14
% 0.87/1.14 % Formulas that are not ordinary clauses:
% 0.87/1.14
% 0.87/1.14 ============================== end of process non-clausal formulas ===
% 0.87/1.14
% 0.87/1.14 ============================== PROCESS INITIAL CLAUSES ===============
% 0.87/1.14
% 0.87/1.14 ============================== PREDICATE ELIMINATION =================
% 0.87/1.14
% 0.87/1.14 ============================== end predicate elimination =============
% 0.87/1.14
% 0.87/1.14 Auto_denials:
% 0.87/1.14 % copying label prove_these_axioms_3 to answer in negative clause
% 0.87/1.14
% 0.87/1.14 Term ordering decisions:
% 0.87/1.14
% 0.87/1.14 % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 0.87/1.14 Function symbol KB weights: a3=1. b3=1. c3=1. multiply=1. inverse=0.
% 0.87/1.14
% 0.87/1.14 ============================== end of process initial clauses ========
% 0.87/1.14
% 0.87/1.14 ============================== CLAUSES FOR SEARCH ====================
% 0.87/1.14
% 0.87/1.14 ============================== end of clauses for search =============
% 0.87/1.14
% 0.87/1.14 ============================== SEARCH ================================
% 0.87/1.14
% 0.87/1.14 % Starting search at 0.01 seconds.
% 0.87/1.14
% 0.87/1.14 ============================== PROOF =================================
% 0.87/1.14 % SZS status Unsatisfiable
% 0.87/1.14 % SZS output start Refutation
% 0.87/1.14
% 0.87/1.14 % Proof 1 at 0.12 (+ 0.00) seconds: prove_these_axioms_3.
% 0.87/1.14 % Length of proof is 78.
% 0.87/1.14 % Level of proof is 27.
% 0.87/1.14 % Maximum clause weight is 39.000.
% 0.87/1.14 % Given clauses 43.
% 0.87/1.14
% 0.87/1.14 1 inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B))))))) = D # label(single_axiom) # label(axiom). [assumption].
% 0.87/1.14 2 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) # label(prove_these_axioms_3) # label(negated_conjecture) # answer(prove_these_axioms_3). [assumption].
% 0.87/1.14 4 inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(D,A)))),multiply(multiply(E,inverse(E)),C)))) = D. [para(1(a,1),1(a,1,1,2,2,2))].
% 0.87/1.14 12 inverse(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,D)))),multiply(multiply(multiply(E,inverse(E)),B),multiply(multiply(F,inverse(F)),C)))) = D. [para(4(a,1),1(a,1,1,2,2,2))].
% 0.87/1.14 20 multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,D)))) = inverse(multiply(multiply(multiply(E,inverse(E)),B),multiply(multiply(multiply(F,inverse(F)),C),multiply(multiply(V6,inverse(V6)),D)))). [para(4(a,1),4(a,1,1,2,1,2)),flip(a)].
% 0.87/1.14 74 multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,D))),multiply(B,C)))) = D. [para(20(a,2),12(a,1))].
% 0.87/1.14 99 multiply(multiply(A,inverse(A)),B) = multiply(multiply(C,inverse(C)),B). [para(4(a,1),74(a,1,2,1,1)),rewrite([1(11)])].
% 0.87/1.14 151 inverse(multiply(A,multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,inverse(D)))),inverse(multiply(E,multiply(A,B))))))) = E. [para(99(a,1),1(a,1,1,2,2,1))].
% 0.87/1.14 153 multiply(A,inverse(A)) = multiply(B,inverse(B)). [para(99(a,1),1(a,1,1,2,2,2,1)),rewrite([1(11)])].
% 0.87/1.14 180 multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,D)))) = inverse(multiply(multiply(multiply(E,inverse(E)),B),multiply(multiply(multiply(F,inverse(F)),C),multiply(multiply(multiply(V6,inverse(V6)),inverse(multiply(V7,inverse(V7)))),D)))). [para(99(a,1),20(a,2,1,2,2,1))].
% 0.87/1.14 181 multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(multiply(C,inverse(C))),D)))) = inverse(multiply(multiply(multiply(E,inverse(E)),B),multiply(multiply(F,inverse(F)),multiply(multiply(V6,inverse(V6)),D)))). [para(99(a,1),20(a,2,1,2))].
% 0.87/1.14 184 multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),inverse(multiply(inverse(multiply(C,multiply(D,E))),multiply(C,D)))) = E. [para(99(a,1),74(a,1,1))].
% 0.87/1.14 198 multiply(A,inverse(A)) = c_0. [new_symbol(153)].
% 0.87/1.14 211 multiply(c_0,inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B)))) = C. [back_rewrite(184),rewrite([198(2),198(3),198(4)])].
% 0.87/1.14 214 inverse(multiply(multiply(c_0,A),multiply(c_0,multiply(c_0,B)))) = multiply(c_0,inverse(multiply(A,multiply(inverse(c_0),B)))). [back_rewrite(181),rewrite([198(2),198(3),198(9),198(11),198(12)]),flip(a)].
% 0.87/1.14 215 inverse(multiply(multiply(c_0,A),multiply(multiply(c_0,B),multiply(c_0,C)))) = multiply(c_0,inverse(multiply(A,multiply(B,C)))). [back_rewrite(180),rewrite([198(2),198(7),198(9),198(11),198(12),198(13)]),flip(a)].
% 0.87/1.14 230 inverse(multiply(A,multiply(B,multiply(c_0,inverse(multiply(C,multiply(A,B))))))) = C. [back_rewrite(151),rewrite([198(2),198(3),198(4)])].
% 0.87/1.14 248 multiply(c_0,inverse(multiply(inverse(multiply(A,c_0)),multiply(A,B)))) = inverse(B). [para(198(a,1),211(a,1,2,1,1,1,2))].
% 0.87/1.14 249 multiply(c_0,inverse(multiply(inverse(multiply(A,multiply(inverse(A),B))),c_0))) = B. [para(198(a,1),211(a,1,2,1,2))].
% 0.87/1.14 250 multiply(c_0,inverse(multiply(inverse(multiply(A,c_0)),c_0))) = inverse(inverse(A)). [para(198(a,1),248(a,1,2,1,2))].
% 0.87/1.14 283 inverse(multiply(A,multiply(inverse(A),multiply(c_0,inverse(multiply(B,c_0)))))) = B. [para(198(a,1),230(a,1,1,2,2,2,1,2))].
% 0.87/1.14 291 multiply(multiply(A,multiply(inverse(A),multiply(c_0,inverse(multiply(B,c_0))))),B) = c_0. [para(283(a,1),198(a,1,2))].
% 0.87/1.14 292 inverse(multiply(A,multiply(inverse(A),inverse(inverse(B))))) = inverse(multiply(B,c_0)). [para(250(a,1),283(a,1,1,2,2))].
% 0.87/1.14 325 multiply(c_0,inverse(multiply(inverse(c_0),c_0))) = inverse(c_0). [para(291(a,1),250(a,1,2,1,1,1)),rewrite([283(17)])].
% 0.87/1.14 327 multiply(A,multiply(inverse(A),multiply(c_0,inverse(multiply(multiply(B,C),c_0))))) = inverse(multiply(B,multiply(C,c_0))). [para(291(a,1),230(a,1,1,2,2,2,1)),rewrite([198(4)]),flip(a)].
% 0.87/1.14 333 inverse(multiply(A,multiply(inverse(A),inverse(c_0)))) = inverse(c_0). [para(291(a,1),292(a,2,1)),rewrite([283(11)])].
% 0.87/1.14 336 multiply(c_0,inverse(multiply(inverse(multiply(A,inverse(c_0))),multiply(A,c_0)))) = inverse(multiply(inverse(c_0),c_0)). [para(325(a,1),211(a,1,2,1,1,1,2))].
% 0.87/1.14 344 inverse(multiply(inverse(A),multiply(inverse(c_0),c_0))) = A. [para(333(a,1),230(a,1,1,2,2,2)),rewrite([198(7)])].
% 0.87/1.14 366 inverse(multiply(multiply(multiply(c_0,A),multiply(c_0,multiply(c_0,B))),multiply(multiply(c_0,inverse(multiply(A,multiply(inverse(c_0),B)))),multiply(c_0,inverse(multiply(C,c_0)))))) = C. [para(214(a,1),283(a,1,1,2,1))].
% 0.87/1.14 374 multiply(c_0,multiply(inverse(c_0),multiply(c_0,A))) = A. [para(344(a,1),211(a,1,2))].
% 0.87/1.14 375 multiply(c_0,multiply(inverse(c_0),c_0)) = inverse(c_0). [para(344(a,1),248(a,1,2))].
% 0.87/1.14 376 multiply(c_0,inverse(multiply(inverse(multiply(multiply(inverse(A),multiply(inverse(c_0),c_0)),multiply(A,B))),c_0))) = B. [para(344(a,1),249(a,1,2,1,1,1,2,1))].
% 0.87/1.14 377 multiply(A,multiply(B,multiply(c_0,inverse(multiply(C,multiply(A,B)))))) = inverse(multiply(C,multiply(inverse(c_0),c_0))). [para(230(a,1),344(a,1,1,1)),flip(a)].
% 0.87/1.14 379 multiply(A,multiply(inverse(A),multiply(c_0,inverse(multiply(B,c_0))))) = inverse(multiply(B,multiply(inverse(c_0),c_0))). [para(283(a,1),344(a,1,1,1)),flip(a)].
% 0.87/1.14 383 multiply(A,multiply(inverse(A),inverse(inverse(B)))) = multiply(B,c_0). [para(292(a,1),344(a,1,1,1)),rewrite([344(9)]),flip(a)].
% 0.87/1.14 386 multiply(A,multiply(inverse(A),inverse(c_0))) = c_0. [para(333(a,1),344(a,1,1,1)),rewrite([344(8)]),flip(a)].
% 0.87/1.14 387 inverse(multiply(multiply(c_0,inverse(multiply(A,multiply(inverse(c_0),B)))),multiply(inverse(c_0),c_0))) = multiply(multiply(c_0,A),multiply(c_0,multiply(c_0,B))). [para(214(a,1),344(a,1,1,1))].
% 0.87/1.14 388 inverse(multiply(A,multiply(inverse(c_0),c_0))) = multiply(inverse(A),multiply(inverse(c_0),c_0)). [para(344(a,1),344(a,1,1,1))].
% 0.87/1.14 390 multiply(inverse(inverse(A)),multiply(inverse(c_0),c_0)) = A. [back_rewrite(230),rewrite([377(7),388(6),388(7)])].
% 0.87/1.14 393 multiply(inverse(multiply(A,B)),multiply(inverse(c_0),c_0)) = inverse(multiply(A,multiply(B,c_0))). [back_rewrite(327),rewrite([379(9),388(7)])].
% 0.87/1.14 395 inverse(multiply(c_0,multiply(inverse(multiply(A,multiply(inverse(c_0),B))),c_0))) = multiply(multiply(c_0,A),multiply(c_0,multiply(c_0,B))). [back_rewrite(387),rewrite([388(13),393(13)])].
% 0.87/1.14 397 multiply(A,multiply(inverse(A),multiply(c_0,inverse(multiply(B,c_0))))) = multiply(inverse(B),multiply(inverse(c_0),c_0)). [back_rewrite(379),rewrite([388(14)])].
% 0.87/1.14 399 inverse(multiply(inverse(c_0),c_0)) = multiply(inverse(c_0),c_0). [para(375(a,1),211(a,1,2,1,1,1,2)),rewrite([336(10)])].
% 0.87/1.14 409 multiply(inverse(A),inverse(c_0)) = inverse(A). [para(386(a,1),211(a,1,2,1,1,1,2)),rewrite([248(8)]),flip(a)].
% 0.87/1.14 432 inverse(multiply(multiply(c_0,A),multiply(inverse(c_0),multiply(c_0,B)))) = multiply(c_0,inverse(multiply(A,multiply(multiply(inverse(c_0),c_0),B)))). [para(375(a,1),215(a,1,1,2,1))].
% 0.87/1.14 436 multiply(c_0,inverse(multiply(inverse(A),c_0))) = multiply(c_0,A). [para(374(a,1),211(a,1,2,1,1,1)),rewrite([198(6)])].
% 0.87/1.14 437 multiply(c_0,inverse(multiply(inverse(multiply(c_0,multiply(multiply(inverse(c_0),multiply(c_0,A)),B))),A))) = B. [para(374(a,1),211(a,1,2,1,2))].
% 0.87/1.14 438 inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) = multiply(c_0,multiply(inverse(c_0),C)). [para(211(a,1),374(a,1,2,2)),flip(a)].
% 0.87/1.14 441 inverse(multiply(inverse(multiply(A,c_0)),c_0)) = multiply(A,c_0). [para(250(a,1),374(a,1,2,2)),rewrite([383(7)]),flip(a)].
% 0.87/1.14 447 multiply(inverse(c_0),c_0) = c_0. [para(375(a,1),374(a,1,2,2)),rewrite([409(6),198(4)]),flip(a)].
% 0.87/1.14 451 multiply(inverse(c_0),multiply(c_0,A)) = multiply(c_0,multiply(inverse(c_0),A)). [para(374(a,1),374(a,1,2,2)),flip(a)].
% 0.87/1.14 453 multiply(c_0,multiply(multiply(inverse(A),c_0),multiply(A,B))) = B. [back_rewrite(376),rewrite([447(6),436(11)])].
% 0.87/1.14 456 multiply(c_0,multiply(A,c_0)) = inverse(inverse(A)). [back_rewrite(250),rewrite([441(7)])].
% 0.87/1.14 474 inverse(multiply(multiply(c_0,A),multiply(c_0,multiply(inverse(c_0),B)))) = multiply(c_0,inverse(multiply(A,multiply(c_0,B)))). [back_rewrite(432),rewrite([451(7),447(14)])].
% 0.87/1.14 482 inverse(c_0) = c_0. [back_rewrite(399),rewrite([447(4),447(6)])].
% 0.87/1.14 484 multiply(A,multiply(inverse(A),multiply(c_0,inverse(multiply(B,c_0))))) = multiply(inverse(B),multiply(c_0,c_0)). [back_rewrite(397),rewrite([482(11)])].
% 0.87/1.14 486 multiply(inverse(inverse(A)),multiply(c_0,c_0)) = A. [back_rewrite(390),rewrite([482(4)])].
% 0.87/1.14 502 multiply(c_0,inverse(multiply(inverse(multiply(c_0,multiply(multiply(c_0,multiply(c_0,A)),B))),A))) = B. [back_rewrite(437),rewrite([482(4)])].
% 0.87/1.14 506 multiply(multiply(c_0,A),multiply(c_0,multiply(c_0,B))) = inverse(inverse(inverse(inverse(multiply(A,multiply(c_0,B)))))). [back_rewrite(395),rewrite([482(3),456(8)]),flip(a)].
% 0.87/1.14 515 multiply(c_0,inverse(multiply(A,multiply(c_0,B)))) = inverse(inverse(inverse(inverse(inverse(multiply(A,multiply(c_0,B))))))). [back_rewrite(474),rewrite([482(5),506(7)]),flip(a)].
% 0.87/1.15 522 multiply(c_0,c_0) = c_0. [back_rewrite(447),rewrite([482(2)])].
% 0.87/1.15 525 inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) = multiply(c_0,multiply(c_0,C)). [back_rewrite(438),rewrite([482(9)])].
% 0.87/1.15 531 multiply(inverse(A),c_0) = inverse(A). [back_rewrite(409),rewrite([482(3)])].
% 0.87/1.15 534 inverse(inverse(A)) = A. [back_rewrite(366),rewrite([506(7),482(10),515(13),484(22),522(4),531(3)])].
% 0.87/1.15 559 multiply(A,c_0) = A. [back_rewrite(486),rewrite([534(2),522(3)])].
% 0.87/1.15 564 multiply(c_0,multiply(inverse(A),multiply(A,B))) = B. [back_rewrite(453),rewrite([559(4)])].
% 0.87/1.15 579 multiply(c_0,A) = A. [back_rewrite(456),rewrite([559(3),534(4)])].
% 0.87/1.15 580 multiply(A,multiply(inverse(A),B)) = B. [back_rewrite(383),rewrite([534(3),559(5)])].
% 0.87/1.15 581 inverse(multiply(inverse(multiply(A,B)),A)) = B. [back_rewrite(502),rewrite([579(5),579(4),579(4),579(6)])].
% 0.87/1.15 589 multiply(inverse(A),multiply(A,B)) = B. [back_rewrite(564),rewrite([579(5)])].
% 0.87/1.15 591 inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) = C. [back_rewrite(525),rewrite([579(9),579(8)])].
% 0.87/1.15 596 multiply(inverse(multiply(A,B)),A) = inverse(B). [para(581(a,1),534(a,1,1)),flip(a)].
% 0.87/1.15 597 inverse(multiply(inverse(A),B)) = multiply(inverse(B),A). [para(580(a,1),581(a,1,1,1,1))].
% 0.87/1.15 599 multiply(inverse(multiply(A,B)),multiply(A,multiply(B,C))) = C. [back_rewrite(591),rewrite([597(6)])].
% 0.87/1.15 605 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [para(589(a,1),596(a,1,1,1)),flip(a)].
% 0.87/1.15 606 multiply(multiply(inverse(A),inverse(B)),multiply(B,multiply(A,C))) = C. [back_rewrite(599),rewrite([605(2)])].
% 0.87/1.15 620 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)). [para(606(a,1),589(a,1,2)),rewrite([605(4),534(2),534(2)])].
% 0.87/1.15 621 $F # answer(prove_these_axioms_3). [resolve(620,a,2,a)].
% 0.87/1.15
% 0.87/1.15 % SZS output end Refutation
% 0.87/1.15 ============================== end of proof ==========================
% 0.87/1.15
% 0.87/1.15 ============================== STATISTICS ============================
% 0.87/1.15
% 0.87/1.15 Given=43. Generated=1375. Kept=620. proofs=1.
% 0.87/1.15 Usable=13. Sos=8. Demods=23. Limbo=3, Disabled=597. Hints=0.
% 0.87/1.15 Megabytes=0.86.
% 0.87/1.15 User_CPU=0.12, System_CPU=0.00, Wall_clock=0.
% 0.87/1.15
% 0.87/1.15 ============================== end of statistics =====================
% 0.87/1.15
% 0.87/1.15 ============================== end of search =========================
% 0.87/1.15
% 0.87/1.15 THEOREM PROVED
% 0.87/1.15 % SZS status Unsatisfiable
% 0.87/1.15
% 0.87/1.15 Exiting with 1 proof.
% 0.87/1.15
% 0.87/1.15 Process 2294 exit (max_proofs) Tue Jun 14 03:27:29 2022
% 0.87/1.15 Prover9 interrupted
%------------------------------------------------------------------------------