TSTP Solution File: GRP363-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GRP363-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %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 11:18:46 EDT 2022

% Result   : Unsatisfiable 1.27s 1.55s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP363-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n025.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 : Tue Jun 14 04:43:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.27/1.55  ============================== Prover9 ===============================
% 1.27/1.55  Prover9 (32) version 2009-11A, November 2009.
% 1.27/1.55  Process 2686 was started by sandbox2 on n025.cluster.edu,
% 1.27/1.55  Tue Jun 14 04:43:25 2022
% 1.27/1.55  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2532_n025.cluster.edu".
% 1.27/1.55  ============================== end of head ===========================
% 1.27/1.55  
% 1.27/1.55  ============================== INPUT =================================
% 1.27/1.55  
% 1.27/1.55  % Reading from file /tmp/Prover9_2532_n025.cluster.edu
% 1.27/1.55  
% 1.27/1.55  set(prolog_style_variables).
% 1.27/1.55  set(auto2).
% 1.27/1.55      % set(auto2) -> set(auto).
% 1.27/1.55      % set(auto) -> set(auto_inference).
% 1.27/1.55      % set(auto) -> set(auto_setup).
% 1.27/1.55      % set(auto_setup) -> set(predicate_elim).
% 1.27/1.55      % set(auto_setup) -> assign(eq_defs, unfold).
% 1.27/1.55      % set(auto) -> set(auto_limits).
% 1.27/1.55      % set(auto_limits) -> assign(max_weight, "100.000").
% 1.27/1.55      % set(auto_limits) -> assign(sos_limit, 20000).
% 1.27/1.55      % set(auto) -> set(auto_denials).
% 1.27/1.55      % set(auto) -> set(auto_process).
% 1.27/1.55      % set(auto2) -> assign(new_constants, 1).
% 1.27/1.55      % set(auto2) -> assign(fold_denial_max, 3).
% 1.27/1.55      % set(auto2) -> assign(max_weight, "200.000").
% 1.27/1.55      % set(auto2) -> assign(max_hours, 1).
% 1.27/1.55      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.27/1.55      % set(auto2) -> assign(max_seconds, 0).
% 1.27/1.55      % set(auto2) -> assign(max_minutes, 5).
% 1.27/1.55      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.27/1.55      % set(auto2) -> set(sort_initial_sos).
% 1.27/1.55      % set(auto2) -> assign(sos_limit, -1).
% 1.27/1.55      % set(auto2) -> assign(lrs_ticks, 3000).
% 1.27/1.55      % set(auto2) -> assign(max_megs, 400).
% 1.27/1.55      % set(auto2) -> assign(stats, some).
% 1.27/1.55      % set(auto2) -> clear(echo_input).
% 1.27/1.55      % set(auto2) -> set(quiet).
% 1.27/1.55      % set(auto2) -> clear(print_initial_clauses).
% 1.27/1.55      % set(auto2) -> clear(print_given).
% 1.27/1.55  assign(lrs_ticks,-1).
% 1.27/1.55  assign(sos_limit,10000).
% 1.27/1.55  assign(order,kbo).
% 1.27/1.55  set(lex_order_vars).
% 1.27/1.55  clear(print_given).
% 1.27/1.55  
% 1.27/1.55  % formulas(sos).  % not echoed (28 formulas)
% 1.27/1.55  
% 1.27/1.55  ============================== end of input ==========================
% 1.27/1.55  
% 1.27/1.55  % From the command line: assign(max_seconds, 300).
% 1.27/1.55  
% 1.27/1.55  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.27/1.55  
% 1.27/1.55  % Formulas that are not ordinary clauses:
% 1.27/1.55  
% 1.27/1.55  ============================== end of process non-clausal formulas ===
% 1.27/1.55  
% 1.27/1.55  ============================== PROCESS INITIAL CLAUSES ===============
% 1.27/1.55  
% 1.27/1.55  ============================== PREDICATE ELIMINATION =================
% 1.27/1.55  
% 1.27/1.55  ============================== end predicate elimination =============
% 1.27/1.55  
% 1.27/1.55  Auto_denials:  (non-Horn, no changes).
% 1.27/1.55  
% 1.27/1.55  Term ordering decisions:
% 1.27/1.55  
% 1.27/1.55  % Assigning unary symbol inverse kb_weight 0 and highest precedence (11).
% 1.27/1.55  Function symbol KB weights:  sk_c6=1. sk_c7=1. sk_c5=1. sk_c1=1. sk_c2=1. sk_c3=1. sk_c4=1. identity=1. multiply=1. inverse=0.
% 1.27/1.55  
% 1.27/1.55  ============================== end of process initial clauses ========
% 1.27/1.55  
% 1.27/1.55  ============================== CLAUSES FOR SEARCH ====================
% 1.27/1.55  
% 1.27/1.55  ============================== end of clauses for search =============
% 1.27/1.55  
% 1.27/1.55  ============================== SEARCH ================================
% 1.27/1.55  
% 1.27/1.55  % Starting search at 0.01 seconds.
% 1.27/1.55  
% 1.27/1.55  ============================== PROOF =================================
% 1.27/1.55  % SZS status Unsatisfiable
% 1.27/1.55  % SZS output start Refutation
% 1.27/1.55  
% 1.27/1.55  % Proof 1 at 0.56 (+ 0.01) seconds.
% 1.27/1.55  % Length of proof is 91.
% 1.27/1.55  % Level of proof is 25.
% 1.27/1.55  % Maximum clause weight is 47.000.
% 1.27/1.55  % Given clauses 280.
% 1.27/1.55  
% 1.27/1.55  1 multiply(identity,A) = A # label(left_identity) # label(axiom).  [assumption].
% 1.27/1.55  2 multiply(inverse(A),A) = identity # label(left_inverse) # label(axiom).  [assumption].
% 1.27/1.55  3 inverse(sk_c6) = sk_c5 | inverse(sk_c2) = sk_c6 # label(prove_this_9) # label(negated_conjecture).  [assumption].
% 1.27/1.55  4 inverse(sk_c6) = sk_c5 | inverse(sk_c3) = sk_c7 # label(prove_this_12) # label(negated_conjecture).  [assumption].
% 1.27/1.55  6 inverse(sk_c1) = sk_c6 | inverse(sk_c3) = sk_c7 # label(prove_this_24) # label(negated_conjecture).  [assumption].
% 1.27/1.55  7 multiply(sk_c6,sk_c5) = sk_c7 | inverse(sk_c2) = sk_c6 # label(prove_this_3) # label(negated_conjecture).  [assumption].
% 1.27/1.55  9 inverse(sk_c6) = sk_c5 | multiply(sk_c6,sk_c7) = sk_c5 # label(prove_this_7) # label(negated_conjecture).  [assumption].
% 1.27/1.55  10 inverse(sk_c6) = sk_c5 | multiply(sk_c2,sk_c6) = sk_c7 # label(prove_this_8) # label(negated_conjecture).  [assumption].
% 1.27/1.55  11 inverse(sk_c6) = sk_c5 | multiply(sk_c7,sk_c4) = sk_c6 # label(prove_this_10) # label(negated_conjecture).  [assumption].
% 1.27/1.55  12 inverse(sk_c6) = sk_c5 | multiply(sk_c3,sk_c7) = sk_c4 # label(prove_this_11) # label(negated_conjecture).  [assumption].
% 1.27/1.55  14 multiply(sk_c1,sk_c6) = sk_c5 | inverse(sk_c3) = sk_c7 # label(prove_this_18) # label(negated_conjecture).  [assumption].
% 1.27/1.55  17 inverse(sk_c1) = sk_c6 | multiply(sk_c7,sk_c4) = sk_c6 # label(prove_this_22) # label(negated_conjecture).  [assumption].
% 1.27/1.55  18 inverse(sk_c1) = sk_c6 | multiply(sk_c3,sk_c7) = sk_c4 # label(prove_this_23) # label(negated_conjecture).  [assumption].
% 1.27/1.55  20 multiply(sk_c6,sk_c5) = sk_c7 | multiply(sk_c2,sk_c6) = sk_c7 # label(prove_this_2) # label(negated_conjecture).  [assumption].
% 1.27/1.55  25 multiply(sk_c1,sk_c6) = sk_c5 | multiply(sk_c7,sk_c4) = sk_c6 # label(prove_this_16) # label(negated_conjecture).  [assumption].
% 1.27/1.55  26 multiply(sk_c1,sk_c6) = sk_c5 | multiply(sk_c3,sk_c7) = sk_c4 # label(prove_this_17) # label(negated_conjecture).  [assumption].
% 1.27/1.55  27 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity) # label(axiom).  [assumption].
% 1.27/1.55  28 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c6) != sk_c5 | multiply(A,sk_c6) != sk_c5 | inverse(A) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(B,sk_c6) != sk_c7 | inverse(B) != sk_c6 | multiply(sk_c7,C) != sk_c6 | multiply(D,sk_c7) != C | inverse(D) != sk_c7 # label(prove_this_25) # label(negated_conjecture).  [assumption].
% 1.27/1.55  32 inverse(sk_c6) = sk_c5 | multiply(sk_c6,sk_c2) = identity.  [para(3(b,1),2(a,1,1))].
% 1.27/1.55  33 inverse(sk_c6) = sk_c5 | multiply(sk_c7,sk_c3) = identity.  [para(4(b,1),2(a,1,1))].
% 1.27/1.55  35 inverse(sk_c1) = sk_c6 | multiply(sk_c7,sk_c3) = identity.  [para(6(b,1),2(a,1,1))].
% 1.27/1.55  36 multiply(inverse(A),multiply(A,B)) = B.  [para(2(a,1),27(a,1,1)),rewrite([1(2)]),flip(a)].
% 1.27/1.55  41 inverse(sk_c6) = sk_c5 | multiply(sk_c6,multiply(sk_c7,A)) = multiply(sk_c5,A).  [para(9(b,1),27(a,1,1)),flip(b)].
% 1.27/1.55  180 multiply(inverse(inverse(A)),identity) = A.  [para(2(a,1),36(a,1,2))].
% 1.27/1.55  186 inverse(sk_c6) = sk_c5 | multiply(inverse(sk_c6),sk_c5) = sk_c7.  [para(9(b,1),36(a,1,2))].
% 1.27/1.55  188 inverse(sk_c6) = sk_c5 | multiply(inverse(sk_c7),sk_c6) = sk_c4.  [para(11(b,1),36(a,1,2))].
% 1.27/1.55  191 inverse(sk_c3) = sk_c7 | multiply(inverse(sk_c1),sk_c5) = sk_c6.  [para(14(a,1),36(a,1,2))].
% 1.27/1.55  194 inverse(sk_c1) = sk_c6 | multiply(inverse(sk_c7),sk_c6) = sk_c4.  [para(17(b,1),36(a,1,2))].
% 1.27/1.55  205 inverse(sk_c6) = sk_c5 | multiply(inverse(sk_c6),identity) = sk_c2.  [para(32(b,1),36(a,1,2))].
% 1.27/1.55  206 multiply(inverse(inverse(A)),B) = multiply(A,B).  [para(36(a,1),36(a,1,2))].
% 1.27/1.55  207 multiply(A,identity) = A.  [back_rewrite(180),rewrite([206(4)])].
% 1.27/1.55  208 inverse(sk_c6) = sk_c5 | inverse(sk_c6) = sk_c2.  [back_rewrite(205),rewrite([207(8)])].
% 1.27/1.55  212 inverse(identity) = identity.  [para(207(a,1),2(a,1))].
% 1.27/1.55  233 inverse(sk_c6) = sk_c5 | multiply(sk_c2,sk_c6) = identity.  [para(208(b,1),2(a,1,1))].
% 1.27/1.55  236 inverse(sk_c6) = sk_c5 | inverse(sk_c7) = sk_c3.  [para(33(b,1),36(a,1,2)),rewrite([207(8)])].
% 1.27/1.55  256 inverse(sk_c1) = sk_c6 | inverse(sk_c7) = sk_c3.  [para(35(b,1),36(a,1,2)),rewrite([207(8)])].
% 1.27/1.55  289 multiply(A,inverse(A)) = identity.  [para(206(a,1),2(a,1))].
% 1.27/1.55  302 multiply(A,multiply(inverse(A),B)) = B.  [para(206(a,1),36(a,1))].
% 1.27/1.55  303 inverse(inverse(A)) = A.  [para(206(a,1),207(a,1)),rewrite([207(2)]),flip(a)].
% 1.27/1.55  334 inverse(sk_c7) = sk_c3 | inverse(sk_c6) = sk_c1.  [para(256(a,1),303(a,1,1))].
% 1.27/1.55  358 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c6) != sk_c5 | multiply(A,sk_c6) != sk_c5 | inverse(A) != sk_c6 | multiply(sk_c6,sk_c7) != sk_c5 | multiply(B,sk_c6) != sk_c7 | inverse(B) != sk_c6 | sk_c6 != C | multiply(inverse(sk_c7),C) != multiply(D,sk_c7) | inverse(D) != sk_c7.  [para(302(a,1),28(h,1)),flip(h),flip(i)].
% 1.27/1.55  412 inverse(sk_c6) = sk_c5 | identity = sk_c7.  [para(233(b,1),10(b,1)),merge(b)].
% 1.27/1.55  417 identity = sk_c7 | multiply(sk_c6,sk_c5) = identity.  [para(412(a,1),289(a,1,2))].
% 1.27/1.55  449 identity = sk_c7 | inverse(sk_c2) = sk_c6.  [para(417(b,1),7(a,1)),merge(b)].
% 1.27/1.55  456 identity = sk_c7 | multiply(sk_c2,sk_c6) = identity.  [para(449(b,1),289(a,1,2))].
% 1.27/1.55  467 inverse(sk_c6) = sk_c5 | multiply(sk_c5,inverse(sk_c7)) = sk_c6.  [para(289(a,1),41(b,1,2)),rewrite([207(7)]),flip(b)].
% 1.27/1.55  561 identity = sk_c7 | multiply(sk_c6,sk_c5) = sk_c7.  [para(456(b,1),20(b,1)),merge(c)].
% 1.27/1.55  926 identity = sk_c7.  [para(561(b,1),417(b,1)),flip(c),merge(b),merge(c)].
% 1.27/1.55  1115 multiply(A,inverse(A)) = sk_c7.  [back_rewrite(289),rewrite([926(3)])].
% 1.27/1.55  1123 inverse(sk_c7) = sk_c7.  [back_rewrite(212),rewrite([926(1),926(3)])].
% 1.27/1.55  1124 multiply(A,sk_c7) = A.  [back_rewrite(207),rewrite([926(1)])].
% 1.27/1.55  1129 multiply(inverse(A),A) = sk_c7.  [back_rewrite(2),rewrite([926(3)])].
% 1.27/1.55  1130 multiply(sk_c7,A) = A.  [back_rewrite(1),rewrite([926(1)])].
% 1.27/1.55  1159 inverse(sk_c6) = sk_c5 | sk_c5 = sk_c6.  [back_rewrite(467),rewrite([1123(7),1124(7)])].
% 1.27/1.55  1166 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c6) != sk_c5 | multiply(A,sk_c6) != sk_c5 | inverse(A) != sk_c6 | sk_c5 != sk_c6 | multiply(B,sk_c6) != sk_c7 | inverse(B) != sk_c6 | sk_c6 != C | C != D | inverse(D) != sk_c7.  [back_rewrite(358),rewrite([1124(19),1123(30),1130(30),1124(30)]),flip(e)].
% 1.27/1.55  1169 sk_c3 = sk_c7 | inverse(sk_c6) = sk_c1.  [back_rewrite(334),rewrite([1123(2)]),flip(a)].
% 1.27/1.55  1177 inverse(sk_c6) = sk_c5 | sk_c3 = sk_c7.  [back_rewrite(236),rewrite([1123(6)]),flip(b)].
% 1.27/1.55  1179 inverse(sk_c1) = sk_c6 | sk_c4 = sk_c6.  [back_rewrite(194),rewrite([1123(6),1130(7)]),flip(b)].
% 1.27/1.55  1180 inverse(sk_c6) = sk_c5 | sk_c4 = sk_c6.  [back_rewrite(188),rewrite([1123(6),1130(7)]),flip(b)].
% 1.27/1.55  1278 multiply(sk_c1,sk_c6) = sk_c5 | sk_c4 = sk_c3.  [back_rewrite(26),rewrite([1124(8)]),flip(b)].
% 1.27/1.55  1282 inverse(sk_c1) = sk_c6 | sk_c4 = sk_c3.  [back_rewrite(18),rewrite([1124(7)]),flip(b)].
% 1.27/1.55  1284 inverse(sk_c6) = sk_c5 | sk_c4 = sk_c3.  [back_rewrite(12),rewrite([1124(7)]),flip(b)].
% 1.27/1.55  1332 multiply(sk_c1,sk_c6) = sk_c5 | sk_c4 = sk_c6.  [back_rewrite(25),rewrite([1130(8)])].
% 1.27/1.55  1337 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c6) != sk_c5 | multiply(A,sk_c6) != sk_c5 | inverse(A) != sk_c6 | sk_c5 != sk_c6 | multiply(B,sk_c6) != sk_c7 | inverse(B) != sk_c6 | multiply(sk_c6,sk_c5) != sk_c6.  [factor(1166,a,i),rewrite([1123(33)]),flip(h),xx(i)].
% 1.27/1.55  1427 sk_c5 = sk_c6 | inverse(sk_c5) = sk_c6.  [para(1159(a,1),303(a,1,1))].
% 1.27/1.55  1436 sk_c3 = sk_c7 | sk_c1 = sk_c5.  [para(1177(a,1),1169(b,1)),flip(c),merge(b)].
% 1.27/1.55  1484 sk_c4 = sk_c6 | inverse(sk_c6) = sk_c1.  [para(1179(a,1),303(a,1,1))].
% 1.27/1.55  1486 sk_c4 = sk_c6 | multiply(sk_c1,sk_c6) = sk_c7.  [para(1179(a,1),1115(a,1,2))].
% 1.27/1.55  1588 sk_c4 = sk_c3 | inverse(sk_c6) = sk_c1.  [para(1282(a,1),303(a,1,1))].
% 1.27/1.55  1590 sk_c4 = sk_c3 | multiply(sk_c1,sk_c6) = sk_c7.  [para(1282(a,1),1115(a,1,2))].
% 1.27/1.55  1646 sk_c4 = sk_c6 | sk_c1 = sk_c5.  [para(1484(b,1),1180(a,1)),merge(c)].
% 1.27/1.55  1740 sk_c4 = sk_c3 | sk_c1 = sk_c5.  [para(1588(b,1),1284(a,1)),merge(c)].
% 1.27/1.55  1747 sk_c1 = sk_c5 | sk_c4 = sk_c7.  [para(1436(a,1),1740(a,2)),merge(c)].
% 1.27/1.55  1754 sk_c1 = sk_c5 | sk_c7 = sk_c6.  [para(1747(b,1),1646(a,1)),merge(c)].
% 1.27/1.55  2085 sk_c7 = sk_c6 | inverse(sk_c3) = sk_c7.  [para(1754(a,1),191(b,1,1,1)),rewrite([1129(11)]),merge(c)].
% 1.27/1.55  2138 sk_c7 = sk_c6 | sk_c3 = sk_c7.  [para(2085(b,1),303(a,1,1)),rewrite([1123(5)]),flip(b)].
% 1.27/1.55  2616 sk_c4 = sk_c6 | sk_c5 = sk_c7.  [para(1486(b,1),1332(a,1)),flip(b),merge(c)].
% 1.27/1.55  2708 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c6) != sk_c5 | multiply(A,sk_c6) != sk_c5 | inverse(A) != sk_c6 | sk_c5 != sk_c6 | multiply(sk_c6,sk_c5) != sk_c6.  [resolve(1337,f,1129,a),rewrite([303(22)]),xx(f)].
% 1.27/1.55  2843 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c6) != sk_c5 | multiply(A,multiply(B,sk_c6)) != sk_c5 | inverse(multiply(A,B)) != sk_c6 | sk_c5 != sk_c6 | multiply(sk_c6,sk_c5) != sk_c6.  [para(27(a,1),2708(c,1))].
% 1.27/1.55  2850 multiply(sk_c6,sk_c5) != sk_c7 | inverse(sk_c6) != sk_c5 | sk_c5 != A | inverse(multiply(A,inverse(sk_c6))) != sk_c6 | sk_c5 != sk_c6 | multiply(sk_c6,sk_c5) != sk_c6.  [para(1129(a,1),2843(c,1,2)),rewrite([1124(11)]),flip(c)].
% 1.27/1.55  2905 sk_c4 = sk_c3 | sk_c5 = sk_c7.  [para(1590(b,1),1278(a,1)),flip(b),merge(c)].
% 1.27/1.55  2909 sk_c5 = sk_c7 | sk_c3 = sk_c6.  [para(2905(a,1),2616(a,1)),merge(c)].
% 1.27/1.55  2917 sk_c5 = sk_c7 | sk_c7 = sk_c6.  [para(2909(b,1),2138(b,1)),flip(c),merge(c)].
% 1.27/1.55  2944 sk_c7 = sk_c6 | sk_c5 = sk_c6.  [para(2917(a,1),1427(b,1,1)),rewrite([1123(8)]),merge(c)].
% 1.27/1.55  3167 sk_c7 = sk_c6.  [para(2944(b,1),2917(a,1)),flip(b),merge(b),merge(c)].
% 1.27/1.55  3332 multiply(sk_c6,sk_c5) != sk_c6 | inverse(sk_c6) != sk_c5 | sk_c5 != A | inverse(multiply(A,inverse(sk_c6))) != sk_c6 | sk_c5 != sk_c6.  [back_rewrite(2850),rewrite([3167(4)]),merge(f)].
% 1.27/1.55  3695 multiply(sk_c6,A) = A.  [back_rewrite(1130),rewrite([3167(1)])].
% 1.27/1.55  3699 multiply(A,sk_c6) = A.  [back_rewrite(1124),rewrite([3167(1)])].
% 1.27/1.55  3700 inverse(sk_c6) = sk_c6.  [back_rewrite(1123),rewrite([3167(1),3167(3)])].
% 1.27/1.55  3712 sk_c5 = sk_c6.  [back_rewrite(186),rewrite([3700(2),3700(5),3695(6),3167(5)]),flip(a),merge(b)].
% 1.27/1.55  3764 $F.  [factor(3332,c,e),rewrite([3712(2),3699(3),3700(5),3712(5),3712(7),3700(12),3699(12),3700(11)]),xx(a),xx(b),xx(c),xx(d)].
% 1.27/1.55  
% 1.27/1.55  % SZS output end Refutation
% 1.27/1.55  ============================== end of proof ==========================
% 1.27/1.55  
% 1.27/1.55  ============================== STATISTICS ============================
% 1.27/1.55  
% 1.27/1.55  Given=280. Generated=11258. Kept=3763. proofs=1.
% 1.27/1.55  Usable=39. Sos=295. Demods=18. Limbo=432, Disabled=3025. Hints=0.
% 1.27/1.55  Megabytes=3.81.
% 1.27/1.55  User_CPU=0.56, System_CPU=0.01, Wall_clock=0.
% 1.27/1.55  
% 1.27/1.55  ============================== end of statistics =====================
% 1.27/1.55  
% 1.27/1.55  ============================== end of search =========================
% 1.27/1.55  
% 1.27/1.55  THEOREM PROVED
% 1.27/1.55  % SZS status Unsatisfiable
% 1.27/1.55  
% 1.27/1.55  Exiting with 1 proof.
% 1.27/1.55  
% 1.27/1.55  Process 2686 exit (max_proofs) Tue Jun 14 04:43:25 2022
% 1.27/1.55  Prover9 interrupted
%------------------------------------------------------------------------------