TSTP Solution File: GRP602-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GRP602-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n020.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 11:19:48 EDT 2022

% Result   : Unsatisfiable 0.72s 1.04s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP602-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 13 23:02:20 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.72/1.04  ============================== Prover9 ===============================
% 0.72/1.04  Prover9 (32) version 2009-11A, November 2009.
% 0.72/1.04  Process 16880 was started by sandbox on n020.cluster.edu,
% 0.72/1.04  Mon Jun 13 23:02:20 2022
% 0.72/1.04  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_16500_n020.cluster.edu".
% 0.72/1.04  ============================== end of head ===========================
% 0.72/1.04  
% 0.72/1.04  ============================== INPUT =================================
% 0.72/1.04  
% 0.72/1.04  % Reading from file /tmp/Prover9_16500_n020.cluster.edu
% 0.72/1.04  
% 0.72/1.04  set(prolog_style_variables).
% 0.72/1.04  set(auto2).
% 0.72/1.04      % set(auto2) -> set(auto).
% 0.72/1.04      % set(auto) -> set(auto_inference).
% 0.72/1.04      % set(auto) -> set(auto_setup).
% 0.72/1.04      % set(auto_setup) -> set(predicate_elim).
% 0.72/1.04      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.72/1.04      % set(auto) -> set(auto_limits).
% 0.72/1.04      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.72/1.04      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.72/1.04      % set(auto) -> set(auto_denials).
% 0.72/1.04      % set(auto) -> set(auto_process).
% 0.72/1.04      % set(auto2) -> assign(new_constants, 1).
% 0.72/1.04      % set(auto2) -> assign(fold_denial_max, 3).
% 0.72/1.04      % set(auto2) -> assign(max_weight, "200.000").
% 0.72/1.04      % set(auto2) -> assign(max_hours, 1).
% 0.72/1.04      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.72/1.04      % set(auto2) -> assign(max_seconds, 0).
% 0.72/1.04      % set(auto2) -> assign(max_minutes, 5).
% 0.72/1.04      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.72/1.04      % set(auto2) -> set(sort_initial_sos).
% 0.72/1.04      % set(auto2) -> assign(sos_limit, -1).
% 0.72/1.04      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.72/1.04      % set(auto2) -> assign(max_megs, 400).
% 0.72/1.04      % set(auto2) -> assign(stats, some).
% 0.72/1.04      % set(auto2) -> clear(echo_input).
% 0.72/1.04      % set(auto2) -> set(quiet).
% 0.72/1.04      % set(auto2) -> clear(print_initial_clauses).
% 0.72/1.04      % set(auto2) -> clear(print_given).
% 0.72/1.04  assign(lrs_ticks,-1).
% 0.72/1.04  assign(sos_limit,10000).
% 0.72/1.04  assign(order,kbo).
% 0.72/1.04  set(lex_order_vars).
% 0.72/1.04  clear(print_given).
% 0.72/1.04  
% 0.72/1.04  % formulas(sos).  % not echoed (3 formulas)
% 0.72/1.04  
% 0.72/1.04  ============================== end of input ==========================
% 0.72/1.04  
% 0.72/1.04  % From the command line: assign(max_seconds, 300).
% 0.72/1.04  
% 0.72/1.04  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.72/1.04  
% 0.72/1.04  % Formulas that are not ordinary clauses:
% 0.72/1.04  
% 0.72/1.04  ============================== end of process non-clausal formulas ===
% 0.72/1.04  
% 0.72/1.04  ============================== PROCESS INITIAL CLAUSES ===============
% 0.72/1.04  
% 0.72/1.04  ============================== PREDICATE ELIMINATION =================
% 0.72/1.04  
% 0.72/1.04  ============================== end predicate elimination =============
% 0.72/1.04  
% 0.72/1.04  Auto_denials:
% 0.72/1.04    % copying label prove_these_axioms_2 to answer in negative clause
% 0.72/1.04  
% 0.72/1.04  Term ordering decisions:
% 0.72/1.04  
% 0.72/1.04  % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 0.72/1.04  Function symbol KB weights:  a2=1. b2=1. double_divide=1. multiply=1. inverse=0.
% 0.72/1.04  
% 0.72/1.04  ============================== end of process initial clauses ========
% 0.72/1.04  
% 0.72/1.04  ============================== CLAUSES FOR SEARCH ====================
% 0.72/1.04  
% 0.72/1.04  ============================== end of clauses for search =============
% 0.72/1.04  
% 0.72/1.04  ============================== SEARCH ================================
% 0.72/1.04  
% 0.72/1.04  % Starting search at 0.01 seconds.
% 0.72/1.04  
% 0.72/1.04  ============================== PROOF =================================
% 0.72/1.04  % SZS status Unsatisfiable
% 0.72/1.04  % SZS output start Refutation
% 0.72/1.04  
% 0.72/1.04  % Proof 1 at 0.05 (+ 0.00) seconds: prove_these_axioms_2.
% 0.72/1.04  % Length of proof is 72.
% 0.72/1.04  % Level of proof is 23.
% 0.72/1.04  % Maximum clause weight is 28.000.
% 0.72/1.04  % Given clauses 15.
% 0.72/1.04  
% 0.72/1.04  1 multiply(A,B) = inverse(double_divide(B,A)) # label(multiply) # label(axiom).  [assumption].
% 0.72/1.04  2 inverse(double_divide(inverse(double_divide(A,inverse(double_divide(B,double_divide(A,C))))),C)) = B # label(single_axiom) # label(axiom).  [assumption].
% 0.72/1.04  3 multiply(multiply(inverse(b2),b2),a2) != a2 # label(prove_these_axioms_2) # label(negated_conjecture) # answer(prove_these_axioms_2).  [assumption].
% 0.72/1.04  4 inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2 # answer(prove_these_axioms_2).  [copy(3),rewrite([1(4),1(7)])].
% 0.72/1.04  5 inverse(double_divide(A,inverse(double_divide(B,double_divide(A,double_divide(C,D)))))) = inverse(double_divide(inverse(double_divide(C,B)),D)).  [para(2(a,1),2(a,1,1,1,1,2)),flip(a)].
% 0.72/1.04  6 inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),double_divide(A,C))) = B.  [para(5(a,1),2(a,1,1,1))].
% 0.72/1.04  7 inverse(double_divide(inverse(double_divide(A,B)),double_divide(inverse(double_divide(C,inverse(double_divide(A,double_divide(C,D))))),B))) = D.  [para(2(a,1),6(a,1,1,1,1,1))].
% 0.72/1.04  8 inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),D)),double_divide(E,D))) = inverse(double_divide(B,double_divide(E,double_divide(A,C)))).  [para(5(a,1),6(a,1,1,1,1,1))].
% 0.72/1.04  11 inverse(double_divide(A,double_divide(inverse(double_divide(B,A)),double_divide(B,C)))) = C.  [para(6(a,1),6(a,1,1,1))].
% 0.72/1.04  14 inverse(double_divide(inverse(double_divide(A,B)),double_divide(C,B))) = double_divide(inverse(double_divide(D,C)),double_divide(D,A)).  [para(11(a,1),6(a,1,1,1,1,1))].
% 0.72/1.04  17 inverse(double_divide(double_divide(inverse(double_divide(A,B)),double_divide(A,C)),double_divide(C,double_divide(B,D)))) = D.  [para(11(a,1),11(a,1,1,2,1))].
% 0.72/1.04  18 inverse(double_divide(double_divide(A,double_divide(inverse(double_divide(B,inverse(double_divide(A,double_divide(B,C))))),D)),double_divide(D,double_divide(C,E)))) = E.  [para(2(a,1),17(a,1,1,1,1))].
% 0.72/1.04  20 inverse(double_divide(inverse(double_divide(A,B)),double_divide(double_divide(inverse(double_divide(C,D)),double_divide(C,E)),B))) = double_divide(E,double_divide(D,A)).  [para(17(a,1),6(a,1,1,1,1,1))].
% 0.72/1.04  29 inverse(double_divide(A,double_divide(inverse(double_divide(B,inverse(double_divide(inverse(double_divide(C,inverse(double_divide(A,double_divide(C,D))))),double_divide(B,E))))),D))) = E.  [para(2(a,1),7(a,1,1,1))].
% 0.72/1.04  33 inverse(double_divide(A,double_divide(inverse(double_divide(B,inverse(double_divide(C,double_divide(B,D))))),double_divide(inverse(double_divide(E,C)),double_divide(E,A))))) = D.  [para(11(a,1),7(a,1,1,1))].
% 0.72/1.04  43 double_divide(inverse(double_divide(A,B)),double_divide(A,inverse(double_divide(C,inverse(double_divide(D,double_divide(C,E))))))) = inverse(double_divide(D,double_divide(B,E))).  [para(2(a,1),14(a,1,1,1)),flip(a)].
% 0.72/1.04  49 inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),double_divide(D,inverse(double_divide(B,double_divide(E,double_divide(A,C))))))) = double_divide(inverse(double_divide(F,D)),double_divide(F,E)).  [para(5(a,1),14(a,1,1,1))].
% 0.72/1.04  51 double_divide(inverse(double_divide(A,B)),double_divide(A,inverse(double_divide(B,C)))) = C.  [para(14(a,1),6(a,1))].
% 0.72/1.04  55 double_divide(inverse(double_divide(A,B)),double_divide(A,inverse(double_divide(inverse(double_divide(C,D)),E)))) = inverse(double_divide(D,double_divide(B,double_divide(C,E)))).  [para(6(a,1),14(a,1,1,1)),flip(a)].
% 0.72/1.04  61 inverse(double_divide(A,double_divide(B,double_divide(inverse(double_divide(C,D)),double_divide(C,A))))) = double_divide(inverse(double_divide(E,B)),double_divide(E,D)).  [para(11(a,1),14(a,1,1,1))].
% 0.72/1.04  68 inverse(double_divide(inverse(double_divide(A,B)),double_divide(double_divide(C,double_divide(D,E)),B))) = double_divide(E,double_divide(double_divide(inverse(double_divide(F,D)),double_divide(F,C)),A)).  [para(17(a,1),14(a,2,1))].
% 0.72/1.04  76 inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),double_divide(inverse(double_divide(A,inverse(inverse(double_divide(inverse(double_divide(D,E)),double_divide(B,E)))))),C))) = D.  [para(14(a,2),7(a,1,1,2,1,1,2,1))].
% 0.72/1.04  82 inverse(double_divide(inverse(double_divide(A,B)),double_divide(double_divide(C,D),B))) = double_divide(double_divide(inverse(double_divide(E,C)),double_divide(E,F)),double_divide(inverse(double_divide(F,D)),A)).  [para(14(a,1),14(a,2,1))].
% 0.72/1.04  95 inverse(double_divide(inverse(double_divide(inverse(A),B)),double_divide(inverse(double_divide(C,D)),B))) = double_divide(C,inverse(double_divide(D,A))).  [para(51(a,1),6(a,1,1,1,1,1,1))].
% 0.72/1.04  107 double_divide(inverse(double_divide(A,double_divide(inverse(double_divide(B,C)),double_divide(B,D)))),double_divide(A,E)) = double_divide(D,double_divide(C,E)).  [para(17(a,1),51(a,1,2,2))].
% 0.72/1.04  114 inverse(double_divide(inverse(double_divide(A,B)),double_divide(inverse(double_divide(inverse(double_divide(C,D)),inverse(double_divide(A,E)))),B))) = double_divide(C,inverse(double_divide(D,E))).  [para(51(a,1),7(a,1,1,2,1,1,2,1,2))].
% 0.72/1.04  115 double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C)))) = inverse(double_divide(C,B)).  [para(51(a,1),7(a,1,1,2,1,1,2,1)),rewrite([95(10)])].
% 0.72/1.04  128 inverse(inverse(double_divide(A,double_divide(B,A)))) = B.  [back_rewrite(76),rewrite([95(15),115(10),115(6)])].
% 0.72/1.04  135 inverse(double_divide(A,double_divide(inverse(inverse(double_divide(B,double_divide(C,inverse(double_divide(A,double_divide(C,D))))))),D))) = B.  [back_rewrite(29),rewrite([115(9)])].
% 0.72/1.04  139 inverse(inverse(double_divide(double_divide(A,inverse(double_divide(B,C))),C))) = inverse(double_divide(A,B)).  [para(51(a,1),128(a,1,1,1,2))].
% 0.72/1.04  140 inverse(inverse(A)) = A.  [para(51(a,1),128(a,1,1,1))].
% 0.72/1.04  141 double_divide(double_divide(A,inverse(double_divide(B,C))),C) = inverse(double_divide(A,B)).  [back_rewrite(139),rewrite([140(6)])].
% 0.72/1.04  144 inverse(double_divide(A,double_divide(double_divide(B,double_divide(C,inverse(double_divide(A,double_divide(C,D))))),D))) = B.  [back_rewrite(135),rewrite([140(7)])].
% 0.72/1.04  150 double_divide(A,double_divide(B,A)) = B.  [back_rewrite(128),rewrite([140(4)])].
% 0.72/1.04  181 inverse(double_divide(A,double_divide(B,inverse(double_divide(inverse(double_divide(C,D)),double_divide(E,D)))))) = inverse(double_divide(A,double_divide(B,double_divide(inverse(double_divide(F,E)),double_divide(F,C))))).  [para(14(a,2),8(a,2,1,2,2)),rewrite([8(12)]),flip(a)].
% 0.72/1.04  186 inverse(double_divide(inverse(double_divide(inverse(A),B)),double_divide(C,B))) = inverse(double_divide(D,double_divide(C,double_divide(E,double_divide(E,inverse(double_divide(D,A))))))).  [para(51(a,1),8(a,1,1,1,1,1,1))].
% 0.72/1.04  189 double_divide(A,inverse(double_divide(B,double_divide(inverse(double_divide(A,C)),inverse(double_divide(B,D)))))) = inverse(double_divide(C,D)).  [para(51(a,1),8(a,2,1,2)),rewrite([95(13)])].
% 0.72/1.04  190 double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),D)),double_divide(E,D)) = double_divide(B,double_divide(E,double_divide(A,C))).  [para(8(a,1),140(a,1,1)),rewrite([140(5)]),flip(a)].
% 0.72/1.04  194 inverse(double_divide(inverse(A),double_divide(B,double_divide(A,C)))) = double_divide(inverse(double_divide(D,B)),double_divide(D,C)).  [para(150(a,1),14(a,1,1,1,1))].
% 0.72/1.04  196 inverse(double_divide(inverse(double_divide(A,B)),double_divide(double_divide(C,D),B))) = double_divide(inverse(C),double_divide(D,A)).  [para(150(a,1),14(a,2,1,1))].
% 0.72/1.04  199 double_divide(inverse(double_divide(A,B)),double_divide(A,inverse(C))) = double_divide(C,B).  [para(150(a,1),51(a,1,2,2,1))].
% 0.72/1.04  200 double_divide(double_divide(A,B),A) = B.  [para(150(a,1),150(a,1,2))].
% 0.72/1.04  204 double_divide(double_divide(inverse(double_divide(A,B)),double_divide(A,C)),double_divide(inverse(double_divide(C,D)),E)) = double_divide(inverse(B),double_divide(D,E)).  [back_rewrite(82),rewrite([196(6)]),flip(a)].
% 0.72/1.04  207 double_divide(A,double_divide(double_divide(inverse(double_divide(B,C)),double_divide(B,D)),E)) = double_divide(inverse(D),double_divide(double_divide(C,A),E)).  [back_rewrite(68),rewrite([196(7)]),flip(a)].
% 0.72/1.04  209 inverse(double_divide(inverse(A),inverse(double_divide(B,C)))) = double_divide(A,double_divide(B,C)).  [back_rewrite(20),rewrite([207(8),141(5)])].
% 0.72/1.04  221 inverse(double_divide(A,double_divide(B,double_divide(C,D)))) = double_divide(double_divide(inverse(double_divide(C,A)),D),B).  [back_rewrite(55),rewrite([199(8)]),flip(a)].
% 0.72/1.04  222 double_divide(double_divide(A,inverse(double_divide(B,double_divide(A,C)))),D) = inverse(double_divide(B,double_divide(D,C))).  [back_rewrite(43),rewrite([199(9)])].
% 0.72/1.04  225 double_divide(inverse(double_divide(A,B)),C) = double_divide(A,inverse(double_divide(B,C))).  [back_rewrite(114),rewrite([209(8),196(8),200(4)])].
% 0.72/1.04  242 double_divide(double_divide(A,inverse(double_divide(inverse(A),B))),C) = double_divide(D,inverse(double_divide(C,double_divide(D,B)))).  [back_rewrite(194),rewrite([221(5),225(4),225(9)])].
% 0.72/1.04  246 inverse(double_divide(A,double_divide(B,inverse(double_divide(A,C))))) = inverse(double_divide(inverse(C),inverse(B))).  [back_rewrite(186),rewrite([225(5),150(3),221(11),225(10),222(11)]),flip(a)].
% 0.72/1.04  249 double_divide(double_divide(A,inverse(double_divide(B,inverse(double_divide(C,double_divide(A,D)))))),E) = inverse(double_divide(B,double_divide(E,inverse(double_divide(D,inverse(C)))))).  [back_rewrite(181),rewrite([225(4),150(2),225(10),221(13),225(12)]),flip(a)].
% 0.72/1.04  256 double_divide(A,double_divide(B,double_divide(double_divide(A,C),D))) = double_divide(D,double_divide(B,C)).  [back_rewrite(107),rewrite([225(4),225(8),222(6),140(5)])].
% 0.72/1.04  263 double_divide(A,inverse(double_divide(B,double_divide(A,C)))) = inverse(double_divide(C,inverse(B))).  [back_rewrite(61),rewrite([225(4),221(7),225(6),249(7),246(6),140(2),225(7)]),flip(a)].
% 0.72/1.04  265 inverse(double_divide(A,inverse(double_divide(B,double_divide(double_divide(double_divide(A,B),C),D))))) = inverse(double_divide(C,inverse(D))).  [back_rewrite(49),rewrite([225(3),221(8),225(7),225(10),225(8),221(7),141(4),140(3),225(11),263(11)])].
% 0.72/1.04  269 inverse(double_divide(A,inverse(double_divide(B,inverse(A))))) = B.  [back_rewrite(33),rewrite([263(4),140(4),225(6),263(6),246(8),140(2)])].
% 0.72/1.04  274 inverse(double_divide(double_divide(A,inverse(A)),B)) = B.  [back_rewrite(18),rewrite([263(4),140(4),221(8),256(5),225(5),200(6)])].
% 0.72/1.04  278 inverse(double_divide(A,double_divide(B,double_divide(C,D)))) = double_divide(double_divide(C,inverse(double_divide(A,D))),B).  [back_rewrite(221),rewrite([225(7)])].
% 0.72/1.04  285 inverse(double_divide(A,inverse(double_divide(B,C)))) = double_divide(inverse(C),double_divide(A,B)).  [back_rewrite(204),rewrite([225(4),263(4),225(6),225(7),263(7),140(4),225(3)])].
% 0.72/1.04  288 inverse(double_divide(inverse(A),inverse(B))) = double_divide(A,B).  [back_rewrite(199),rewrite([225(5),263(5)])].
% 0.72/1.04  291 double_divide(double_divide(inverse(A),double_divide(B,C)),inverse(D)) = double_divide(C,double_divide(D,double_divide(B,A))).  [back_rewrite(190),rewrite([225(3),285(4),225(7),150(5)])].
% 0.72/1.04  292 inverse(double_divide(A,B)) = double_divide(inverse(B),inverse(A)).  [back_rewrite(189),rewrite([225(5),285(4),278(6),150(3),150(5)]),flip(a)].
% 0.72/1.04  337 double_divide(A,double_divide(double_divide(inverse(B),inverse(A)),inverse(C))) = double_divide(inverse(B),C).  [back_rewrite(242),rewrite([292(3),140(3),150(3),292(5),292(4)]),flip(a)].
% 0.72/1.04  339 double_divide(inverse(A),double_divide(B,double_divide(double_divide(inverse(B),C),C))) = A.  [back_rewrite(144),rewrite([292(3),292(2),337(6),292(6),292(5),292(5),292(4),140(4),291(8)])].
% 0.72/1.04  340 double_divide(A,double_divide(double_divide(inverse(B),inverse(A)),C)) = double_divide(inverse(C),inverse(B)).  [back_rewrite(115),rewrite([292(4),292(2),140(5),292(7)])].
% 0.72/1.04  350 double_divide(double_divide(A,inverse(B)),inverse(B)) = A.  [back_rewrite(269),rewrite([292(3),140(2),292(4),292(3),140(2)])].
% 0.72/1.04  351 double_divide(inverse(A),B) = double_divide(B,inverse(A)).  [back_rewrite(265),rewrite([292(5),292(4),292(4),292(4),291(9),340(8),292(4),292(3),140(3),350(6),292(3),140(3),292(5),140(4)])].
% 0.72/1.04  373 double_divide(inverse(a2),double_divide(b2,inverse(b2))) != a2 # answer(prove_these_axioms_2).  [back_rewrite(4),rewrite([292(6),140(4),292(7),292(5),140(3),351(7,R)])].
% 0.72/1.04  377 double_divide(A,B) = double_divide(B,A).  [back_rewrite(288),rewrite([292(4),140(2),140(2)])].
% 0.72/1.04  380 double_divide(double_divide(A,B),inverse(C)) = double_divide(inverse(B),double_divide(C,A)).  [back_rewrite(285),rewrite([292(2),377(3),292(5),292(4),140(2),140(2),377(1)])].
% 0.72/1.04  383 double_divide(A,double_divide(A,B)) = B.  [back_rewrite(274),rewrite([377(3),292(4),292(3),140(2),380(4),140(2),377(1)])].
% 0.72/1.04  398 double_divide(inverse(A),double_divide(B,inverse(B))) = A.  [back_rewrite(339),rewrite([377(3),377(4),383(4)])].
% 0.72/1.04  399 $F # answer(prove_these_axioms_2).  [resolve(398,a,373,a)].
% 0.72/1.04  
% 0.72/1.04  % SZS output end Refutation
% 0.72/1.04  ============================== end of proof ==========================
% 0.72/1.04  
% 0.72/1.04  ============================== STATISTICS ============================
% 0.72/1.04  
% 0.72/1.04  Given=15. Generated=589. Kept=397. proofs=1.
% 0.72/1.04  Usable=2. Sos=52. Demods=73. Limbo=47, Disabled=298. Hints=0.
% 0.72/1.04  Megabytes=0.44.
% 0.72/1.04  User_CPU=0.06, System_CPU=0.00, Wall_clock=0.
% 0.72/1.04  
% 0.72/1.04  ============================== end of statistics =====================
% 0.72/1.04  
% 0.72/1.04  ============================== end of search =========================
% 0.72/1.04  
% 0.72/1.04  THEOREM PROVED
% 0.72/1.04  % SZS status Unsatisfiable
% 0.72/1.04  
% 0.72/1.04  Exiting with 1 proof.
% 0.72/1.04  
% 0.72/1.04  Process 16880 exit (max_proofs) Mon Jun 13 23:02:20 2022
% 0.72/1.04  Prover9 interrupted
%------------------------------------------------------------------------------