TSTP Solution File: CAT002-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT002-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n006.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 : 300s
% DateTime : Wed Aug 30 18:13:38 EDT 2023
% Result : Unsatisfiable 0.94s 1.08s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT002-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 00:13:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.94/1.07 %-------------------------------------------
% 0.94/1.07 % File :CSE---1.6
% 0.94/1.07 % Problem :theBenchmark
% 0.94/1.07 % Transform :cnf
% 0.94/1.07 % Format :tptp:raw
% 0.94/1.07 % Command :java -jar mcs_scs.jar %d %s
% 0.94/1.07
% 0.94/1.07 % Result :Theorem 0.450000s
% 0.94/1.07 % Output :CNFRefutation 0.450000s
% 0.94/1.07 %-------------------------------------------
% 0.94/1.07 %--------------------------------------------------------------------------
% 0.94/1.07 % File : CAT002-4 : TPTP v8.1.2. Released v1.0.0.
% 0.94/1.07 % Domain : Category Theory
% 0.94/1.07 % Problem : X and Y monomorphisms, XY well-defined => XY monomorphism
% 0.94/1.07 % Version : [Sco79] axioms : Reduced > Complete.
% 0.94/1.07 % English : If x and y are monomorphisms and xy is well-defined then
% 0.94/1.08 % xy is a monomorphism.
% 0.94/1.08
% 0.94/1.08 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.94/1.08 % Source : [TPTP]
% 0.94/1.08 % Names :
% 0.94/1.08
% 0.94/1.08 % Status : Unsatisfiable
% 0.94/1.08 % Rating : 0.00 v7.4.0, 0.11 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.00 v5.5.0, 0.19 v5.4.0, 0.20 v5.3.0, 0.25 v5.2.0, 0.12 v5.1.0, 0.29 v4.1.0, 0.22 v4.0.1, 0.33 v3.7.0, 0.17 v3.3.0, 0.14 v3.1.0, 0.11 v2.7.0, 0.17 v2.6.0, 0.00 v2.4.0, 0.33 v2.3.0, 0.17 v2.2.1, 0.33 v2.2.0, 0.29 v2.1.0, 0.40 v2.0.0
% 0.94/1.08 % Syntax : Number of clauses : 17 ( 7 unt; 0 nHn; 14 RR)
% 0.94/1.08 % Number of literals : 31 ( 15 equ; 15 neg)
% 0.94/1.08 % Maximal clause size : 3 ( 1 avg)
% 0.94/1.08 % Maximal term depth : 3 ( 1 avg)
% 0.94/1.08 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.94/1.08 % Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% 0.94/1.08 % Number of variables : 25 ( 2 sgn)
% 0.94/1.08 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.94/1.08
% 0.94/1.08 % Comments : The dependent axioms have been removed.
% 0.94/1.08 %--------------------------------------------------------------------------
% 0.94/1.08 %----Include Scott's axioms for category theory
% 0.94/1.08 include('Axioms/CAT004-0.ax').
% 0.94/1.08 %--------------------------------------------------------------------------
% 0.94/1.08 cnf(assume_ab_exists,hypothesis,
% 0.94/1.08 there_exists(compose(a,b)) ).
% 0.94/1.08
% 0.94/1.08 cnf(cancellation_for_compose1,hypothesis,
% 0.94/1.08 ( compose(a,X) != Y
% 0.94/1.08 | compose(a,Z) != Y
% 0.94/1.08 | X = Z ) ).
% 0.94/1.08
% 0.94/1.08 cnf(cancellation_for_compose2,hypothesis,
% 0.94/1.08 ( compose(b,X) != Y
% 0.94/1.08 | compose(b,Z) != Y
% 0.94/1.08 | X = Z ) ).
% 0.94/1.08
% 0.94/1.08 cnf(assume_h_exists,hypothesis,
% 0.94/1.08 there_exists(h) ).
% 0.94/1.08
% 0.94/1.08 cnf(ab_h_equals_ab_g,hypothesis,
% 0.94/1.08 compose(compose(a,b),h) = compose(compose(a,b),g) ).
% 0.94/1.08
% 0.94/1.08 cnf(prove_g_equals_h,negated_conjecture,
% 0.94/1.08 g != h ).
% 0.94/1.08
% 0.94/1.08 %--------------------------------------------------------------------------
% 0.94/1.08 %-------------------------------------------
% 0.94/1.08 % Proof found
% 0.94/1.08 % SZS status Theorem for theBenchmark
% 0.94/1.08 % SZS output start Proof
% 0.94/1.08 %ClaNum:27(EqnAxiom:10)
% 0.94/1.08 %VarNum:52(SingletonVarNum:25)
% 0.94/1.08 %MaxLitNum:3
% 0.94/1.08 %MaxfuncDepth:2
% 0.94/1.08 %SharedTerms:11
% 0.94/1.08 %goalClause: 17
% 0.94/1.08 %singleGoalClaCount:1
% 0.94/1.08 [11]P1(a1)
% 0.94/1.08 [17]~E(a1,a7)
% 0.94/1.08 [14]P1(f3(a5,a6))
% 0.94/1.08 [15]E(f3(f3(a5,a6),a1),f3(f3(a5,a6),a7))
% 0.94/1.08 [12]E(f3(x121,f2(x121)),x121)
% 0.94/1.08 [13]E(f3(f4(x131),x131),x131)
% 0.94/1.08 [16]E(f3(f3(x161,x162),x163),f3(x161,f3(x162,x163)))
% 0.94/1.08 [18]P1(x181)+~P1(f2(x181))
% 0.94/1.08 [19]P1(x191)+~P1(f4(x191))
% 0.94/1.08 [20]~P2(x201,x202)+E(x201,x202)
% 0.94/1.08 [22]P1(x221)+~P2(x221,x222)
% 0.94/1.08 [25]E(f4(x251),f2(x252))+~P1(f3(x252,x251))
% 0.94/1.08 [26]P1(f2(x261))+~P1(f3(x261,x262))
% 0.94/1.08 [21]~E(x211,x212)+~P1(x211)+P2(x211,x212)
% 0.94/1.08 [27]~E(f4(x272),f2(x271))+~P1(f2(x271))+P1(f3(x271,x272))
% 0.94/1.08 [23]E(x231,x232)+~E(f3(a5,x231),x233)+~E(f3(a5,x232),x233)
% 0.94/1.08 [24]E(x241,x242)+~E(f3(a6,x241),x243)+~E(f3(a6,x242),x243)
% 0.94/1.08 %EqnAxiom
% 0.94/1.08 [1]E(x11,x11)
% 0.94/1.08 [2]E(x22,x21)+~E(x21,x22)
% 0.94/1.08 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.94/1.08 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.94/1.08 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.94/1.08 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.94/1.08 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 0.94/1.08 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.94/1.08 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 0.94/1.08 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 0.94/1.08
% 0.94/1.08 %-------------------------------------------
% 0.94/1.08 cnf(29,plain,
% 0.94/1.08 (~P2(a1,a7)),
% 0.94/1.08 inference(scs_inference,[],[17,15,2,20])).
% 0.94/1.08 cnf(31,plain,
% 0.94/1.08 (E(f4(a6),f2(a5))),
% 0.94/1.08 inference(scs_inference,[],[17,14,15,2,20,25])).
% 0.94/1.08 cnf(33,plain,
% 0.94/1.08 (~E(a1,f3(a7,f2(a7)))),
% 0.94/1.08 inference(scs_inference,[],[17,14,15,12,2,20,25,3])).
% 0.94/1.08 cnf(34,plain,
% 0.94/1.08 (E(f3(x341,f2(x341)),x341)),
% 0.94/1.08 inference(rename_variables,[],[12])).
% 0.94/1.08 cnf(35,plain,
% 0.94/1.08 (E(f4(f3(x351,f2(x351))),f4(x351))),
% 0.94/1.08 inference(scs_inference,[],[17,14,15,12,34,2,20,25,3,7])).
% 0.94/1.08 cnf(36,plain,
% 0.94/1.08 (E(f3(x361,f3(x362,f2(x362))),f3(x361,x362))),
% 0.94/1.08 inference(scs_inference,[],[17,14,15,12,34,2,20,25,3,7,6])).
% 0.94/1.08 cnf(37,plain,
% 0.94/1.08 (E(f3(f3(x371,f2(x371)),x372),f3(x371,x372))),
% 0.94/1.08 inference(scs_inference,[],[17,14,15,12,34,2,20,25,3,7,6,5])).
% 0.94/1.08 cnf(38,plain,
% 0.94/1.08 (E(f2(f3(x381,f2(x381))),f2(x381))),
% 0.94/1.08 inference(scs_inference,[],[17,14,15,12,34,2,20,25,3,7,6,5,4])).
% 0.94/1.08 cnf(39,plain,
% 0.94/1.08 (P1(f2(a5))),
% 0.94/1.08 inference(scs_inference,[],[17,14,15,12,34,2,20,25,3,7,6,5,4,26])).
% 0.94/1.08 cnf(41,plain,
% 0.94/1.08 (~P2(a1,f3(a7,f2(a7)))),
% 0.94/1.08 inference(scs_inference,[],[17,14,15,12,34,2,20,25,3,7,6,5,4,26,10])).
% 0.94/1.08 cnf(42,plain,
% 0.94/1.08 (~P2(f3(f4(a1),a1),a7)),
% 0.94/1.08 inference(scs_inference,[],[17,14,15,12,34,13,2,20,25,3,7,6,5,4,26,10,9])).
% 0.94/1.08 cnf(43,plain,
% 0.94/1.08 (~E(a1,x431)+P1(x431)),
% 0.94/1.08 inference(scs_inference,[],[17,11,14,15,12,34,13,2,20,25,3,7,6,5,4,26,10,9,8])).
% 0.94/1.08 cnf(44,plain,
% 0.94/1.08 (~E(a1,f3(f4(a1),a1))+~E(f3(f4(a1),a1),a7)),
% 0.94/1.08 inference(scs_inference,[],[17,11,14,15,12,34,13,2,20,25,3,7,6,5,4,26,10,9,8,21])).
% 0.94/1.08 cnf(48,plain,
% 0.94/1.08 (~E(a1,f3(f4(a1),a1))+~E(f3(a6,a7),x481)+~E(f3(a6,a1),x481)),
% 0.94/1.09 inference(scs_inference,[],[17,11,14,15,12,34,13,2,20,25,3,7,6,5,4,26,10,9,8,21,18,24])).
% 0.94/1.09 cnf(50,plain,
% 0.94/1.09 (~E(a1,f3(f4(a1),a1))+~E(f3(a5,a7),x501)+~E(f3(a5,a1),x501)),
% 0.94/1.09 inference(scs_inference,[],[17,11,14,15,12,34,13,2,20,25,3,7,6,5,4,26,10,9,8,21,18,24,23])).
% 0.94/1.09 cnf(53,plain,
% 0.94/1.09 (~P2(f3(a1,f2(a1)),a7)),
% 0.94/1.09 inference(scs_inference,[],[12,29,9])).
% 0.94/1.09 cnf(54,plain,
% 0.94/1.09 (E(f3(x541,f2(x541)),x541)),
% 0.94/1.09 inference(rename_variables,[],[12])).
% 0.94/1.09 cnf(55,plain,
% 0.94/1.09 (~P2(a1,f3(f4(a7),a7))),
% 0.94/1.09 inference(scs_inference,[],[12,13,29,9,10])).
% 0.94/1.09 cnf(57,plain,
% 0.94/1.09 (~E(a7,a1)),
% 0.94/1.09 inference(scs_inference,[],[17,12,13,29,9,10,2])).
% 0.94/1.09 cnf(58,plain,
% 0.94/1.09 (~E(a7,f3(a1,f2(a1)))),
% 0.94/1.09 inference(scs_inference,[],[17,12,54,13,29,9,10,2,3])).
% 0.94/1.09 cnf(60,plain,
% 0.94/1.09 (P2(f3(a5,a6),x601)+~E(f3(a5,a6),x601)),
% 0.94/1.09 inference(scs_inference,[],[17,12,54,13,14,29,9,10,2,3,21])).
% 0.94/1.09 cnf(62,plain,
% 0.94/1.09 (P2(f3(a5,a6),f3(a5,x621))+~E(a6,x621)),
% 0.94/1.09 inference(scs_inference,[],[17,12,54,13,14,29,9,10,2,3,21,6])).
% 0.94/1.09 cnf(63,plain,
% 0.94/1.09 (P2(f3(a5,a6),f3(a5,a6))),
% 0.94/1.09 inference(equality_inference,[],[60])).
% 0.94/1.09 cnf(65,plain,
% 0.94/1.09 (E(f3(x651,f3(f4(x652),x652)),f3(x651,x652))),
% 0.94/1.09 inference(scs_inference,[],[13,6])).
% 0.94/1.09 cnf(66,plain,
% 0.94/1.09 (E(f3(x661,f3(x662,x663)),f3(f3(x661,x662),x663))),
% 0.94/1.09 inference(scs_inference,[],[16,13,6,2])).
% 0.94/1.09 cnf(75,plain,
% 0.94/1.09 (~E(a1,f3(f4(a7),a7))),
% 0.94/1.09 inference(scs_inference,[],[11,55,21])).
% 0.94/1.09 cnf(77,plain,
% 0.94/1.09 (~P2(f3(a1,f2(a1)),f3(a7,f2(a7)))),
% 0.94/1.09 inference(scs_inference,[],[11,12,41,55,21,9])).
% 0.94/1.09 cnf(78,plain,
% 0.94/1.09 (E(f3(x781,f2(x781)),x781)),
% 0.94/1.09 inference(rename_variables,[],[12])).
% 0.94/1.09 cnf(79,plain,
% 0.94/1.09 (~P2(f3(f4(a1),a1),f3(a7,f2(a7)))),
% 0.94/1.09 inference(scs_inference,[],[11,12,78,41,42,55,21,9,10])).
% 0.94/1.09 cnf(81,plain,
% 0.94/1.09 (~E(f3(a7,f2(a7)),a1)),
% 0.94/1.09 inference(scs_inference,[],[11,12,78,33,41,42,55,21,9,10,2])).
% 0.94/1.09 cnf(82,plain,
% 0.94/1.09 (E(f3(f3(a5,a6),a1),f3(a5,f3(a6,a7)))),
% 0.94/1.09 inference(scs_inference,[],[11,15,12,78,16,33,41,42,55,21,9,10,2,3])).
% 0.94/1.09 cnf(84,plain,
% 0.94/1.09 (~P2(f3(f4(a1),a1),f3(f3(a7,f2(a7)),f2(a7)))),
% 0.94/1.09 inference(scs_inference,[],[37,79,10])).
% 0.94/1.09 cnf(86,plain,
% 0.94/1.09 (E(x861,f3(x861,f2(x861)))),
% 0.94/1.09 inference(scs_inference,[],[12,37,79,10,2])).
% 0.94/1.09 cnf(87,plain,
% 0.94/1.09 (P1(f3(a1,f2(a1)))),
% 0.94/1.09 inference(scs_inference,[],[12,37,79,10,2,43])).
% 0.94/1.09 cnf(88,plain,
% 0.94/1.09 (P1(a5)),
% 0.94/1.09 inference(scs_inference,[],[12,37,79,39,10,2,43,18])).
% 0.94/1.09 cnf(92,plain,
% 0.94/1.09 (E(f4(f3(f4(x921),x921)),f4(x921))),
% 0.94/1.09 inference(scs_inference,[],[12,13,37,79,39,10,2,43,18,26,7])).
% 0.94/1.09 cnf(93,plain,
% 0.94/1.09 (~P2(f3(a7,f2(a7)),a1)),
% 0.94/1.09 inference(scs_inference,[],[12,13,37,79,39,81,10,2,43,18,26,7,20])).
% 0.94/1.09 cnf(95,plain,
% 0.94/1.09 (E(f4(f2(a1)),f2(a1))),
% 0.94/1.09 inference(scs_inference,[],[12,13,37,79,39,81,10,2,43,18,26,7,20,25])).
% 0.94/1.09 cnf(97,plain,
% 0.94/1.09 (E(f3(f3(f4(x971),x971),x972),f3(x971,x972))),
% 0.94/1.09 inference(scs_inference,[],[12,13,37,79,39,81,10,2,43,18,26,7,20,25,5])).
% 0.94/1.09 cnf(99,plain,
% 0.94/1.09 (P2(f2(a5),x991)+~E(f2(a5),x991)),
% 0.94/1.09 inference(scs_inference,[],[12,13,37,79,39,81,10,2,43,18,26,7,20,25,5,4,21])).
% 0.94/1.09 cnf(103,plain,
% 0.94/1.09 (P1(f3(a5,f3(a6,f2(a6))))),
% 0.94/1.09 inference(scs_inference,[],[12,13,35,37,79,39,81,31,10,2,43,18,26,7,20,25,5,4,21,3,27])).
% 0.94/1.09 cnf(105,plain,
% 0.94/1.09 (P2(x1051,f3(a5,a6))+~E(f3(a5,a6),x1051)),
% 0.94/1.09 inference(scs_inference,[],[12,13,35,37,63,79,39,81,31,10,2,43,18,26,7,20,25,5,4,21,3,27,9])).
% 0.94/1.09 cnf(106,plain,
% 0.94/1.09 (P2(f2(a5),f2(a5))),
% 0.94/1.09 inference(equality_inference,[],[99])).
% 0.94/1.09 cnf(109,plain,
% 0.94/1.09 (E(x1091,f3(x1091,f2(x1091)))),
% 0.94/1.09 inference(rename_variables,[],[86])).
% 0.94/1.09 cnf(110,plain,
% 0.94/1.09 (P2(f2(a5),f3(f2(a5),f2(f2(a5))))),
% 0.94/1.09 inference(scs_inference,[],[86,109,105,99])).
% 0.94/1.09 cnf(111,plain,
% 0.94/1.09 (E(x1111,f3(x1111,f2(x1111)))),
% 0.94/1.09 inference(rename_variables,[],[86])).
% 0.94/1.09 cnf(113,plain,
% 0.94/1.09 (P2(f3(a1,f2(a1)),a1)),
% 0.94/1.09 inference(scs_inference,[],[12,86,109,87,105,99,21])).
% 0.94/1.09 cnf(114,plain,
% 0.94/1.09 (E(f3(x1141,f2(x1141)),x1141)),
% 0.94/1.09 inference(rename_variables,[],[12])).
% 0.94/1.09 cnf(118,plain,
% 0.94/1.09 (~E(f3(a7,f2(a7)),f3(a1,f2(a1)))),
% 0.94/1.09 inference(scs_inference,[],[12,114,86,109,97,87,77,81,105,99,21,9,3])).
% 0.94/1.09 cnf(121,plain,
% 0.94/1.09 (E(x1211,f3(x1211,f2(x1211)))),
% 0.94/1.09 inference(rename_variables,[],[86])).
% 0.94/1.09 cnf(124,plain,
% 0.94/1.09 (E(x1241,f3(x1241,f2(x1241)))),
% 0.94/1.09 inference(rename_variables,[],[86])).
% 0.94/1.09 cnf(126,plain,
% 0.94/1.09 (~E(a1,f3(f4(a1),a1))+~E(f3(a5,a1),f3(f3(a5,a7),f2(f3(a5,a7))))),
% 0.94/1.09 inference(scs_inference,[],[12,114,86,109,111,121,124,97,87,77,58,81,63,105,99,21,9,3,10,2,62,50])).
% 0.94/1.09 cnf(127,plain,
% 0.94/1.09 (E(x1271,f3(x1271,f2(x1271)))),
% 1.05/1.09 inference(rename_variables,[],[86])).
% 1.05/1.09 cnf(131,plain,
% 1.05/1.09 (P1(f3(f3(a5,a6),f2(f3(a5,a6))))),
% 1.05/1.09 inference(scs_inference,[],[12,114,14,86,109,111,121,124,127,97,87,77,58,81,63,105,99,21,9,3,10,2,62,50,20,8])).
% 1.05/1.09 cnf(133,plain,
% 1.05/1.09 (E(x1331,f3(x1331,f2(f3(a5,x1331))))),
% 1.05/1.09 inference(scs_inference,[],[66,86,23])).
% 1.05/1.09 cnf(134,plain,
% 1.05/1.09 (E(x1341,f3(x1341,f2(x1341)))),
% 1.05/1.09 inference(rename_variables,[],[86])).
% 1.05/1.09 cnf(135,plain,
% 1.05/1.09 (E(f3(x1351,f3(x1352,x1353)),f3(f3(x1351,x1352),x1353))),
% 1.05/1.09 inference(rename_variables,[],[66])).
% 1.05/1.09 cnf(137,plain,
% 1.05/1.09 (E(x1371,f3(x1371,f2(f3(a6,x1371))))),
% 1.05/1.09 inference(scs_inference,[],[66,135,86,134,23,24])).
% 1.05/1.09 cnf(138,plain,
% 1.05/1.09 (E(x1381,f3(x1381,f2(x1381)))),
% 1.05/1.09 inference(rename_variables,[],[86])).
% 1.05/1.09 cnf(141,plain,
% 1.05/1.09 (~P2(f3(a7,f2(a7)),f3(a1,f2(a1)))),
% 1.05/1.09 inference(scs_inference,[],[66,135,118,86,134,23,24,20])).
% 1.05/1.09 cnf(143,plain,
% 1.05/1.09 (E(f3(x1431,f4(a6)),f3(x1431,f2(a5)))),
% 1.05/1.09 inference(scs_inference,[],[31,66,135,118,86,134,23,24,20,6])).
% 1.05/1.09 cnf(144,plain,
% 1.05/1.09 (~E(f3(a1,f2(a1)),f3(a7,f2(a7)))),
% 1.05/1.09 inference(scs_inference,[],[31,66,135,118,86,134,87,77,23,24,20,6,21])).
% 1.05/1.09 cnf(146,plain,
% 1.05/1.09 (~P2(f3(f4(a1),a1),f3(f4(a7),a7))),
% 1.05/1.09 inference(scs_inference,[],[13,31,66,135,118,86,134,87,77,55,23,24,20,6,21,9])).
% 1.05/1.09 cnf(147,plain,
% 1.05/1.09 (E(f3(f4(x1471),x1471),x1471)),
% 1.05/1.09 inference(rename_variables,[],[13])).
% 1.05/1.09 cnf(149,plain,
% 1.05/1.09 (E(f3(f4(x1491),x1491),x1491)),
% 1.05/1.09 inference(rename_variables,[],[13])).
% 1.05/1.09 cnf(150,plain,
% 1.05/1.09 (~P2(f3(a1,f2(a1)),f3(f4(a7),a7))),
% 1.05/1.09 inference(scs_inference,[],[13,147,149,31,66,135,118,53,86,134,87,77,55,23,24,20,6,21,9,3,10])).
% 1.05/1.09 cnf(151,plain,
% 1.05/1.09 (E(f3(f4(x1511),x1511),x1511)),
% 1.05/1.09 inference(rename_variables,[],[13])).
% 1.05/1.09 cnf(152,plain,
% 1.05/1.09 (E(x1521,f3(f4(x1521),x1521))),
% 1.05/1.09 inference(scs_inference,[],[13,147,149,151,31,66,135,118,53,86,134,87,77,55,23,24,20,6,21,9,3,10,2])).
% 1.05/1.09 cnf(153,plain,
% 1.05/1.09 (~E(f3(a5,a1),f3(f3(a5,a7),f2(f3(a5,a7))))),
% 1.05/1.09 inference(scs_inference,[],[13,147,149,151,31,66,135,118,53,86,134,87,77,55,23,24,20,6,21,9,3,10,2,126])).
% 1.05/1.09 cnf(154,plain,
% 1.05/1.09 (~E(f3(a6,a1),f3(f3(a6,a7),f2(f3(a6,a7))))),
% 1.05/1.09 inference(scs_inference,[],[13,147,149,151,31,66,135,118,53,86,134,138,87,77,55,23,24,20,6,21,9,3,10,2,126,48])).
% 1.05/1.09 cnf(155,plain,
% 1.05/1.09 (E(x1551,f3(x1551,f2(x1551)))),
% 1.05/1.09 inference(rename_variables,[],[86])).
% 1.05/1.09 cnf(157,plain,
% 1.05/1.09 (~E(f3(a5,a7),f3(f3(a5,a1),f2(f3(a5,a1))))),
% 1.05/1.09 inference(scs_inference,[],[13,147,149,151,31,66,135,118,53,86,134,138,155,87,77,55,23,24,20,6,21,9,3,10,2,126,48,50])).
% 1.05/1.09 cnf(160,plain,
% 1.05/1.09 (~E(f3(f4(a1),a1),a7)),
% 1.05/1.09 inference(scs_inference,[],[13,147,149,151,31,66,135,118,53,86,134,138,155,87,77,55,23,24,20,6,21,9,3,10,2,126,48,50,44])).
% 1.05/1.09 cnf(161,plain,
% 1.05/1.09 (~E(f3(a6,a1),x1611)+~E(f3(a6,a7),x1611)),
% 1.05/1.09 inference(scs_inference,[],[152,48])).
% 1.05/1.09 cnf(162,plain,
% 1.05/1.09 (~E(f3(a5,a1),x1621)+~E(f3(a5,a7),x1621)),
% 1.05/1.09 inference(scs_inference,[],[152,50])).
% 1.05/1.09 cnf(163,plain,
% 1.05/1.09 (~E(f3(a5,a1),f3(f4(f3(a5,a7)),f3(a5,a7)))),
% 1.05/1.09 inference(scs_inference,[],[152,162])).
% 1.05/1.09 cnf(164,plain,
% 1.05/1.09 (E(x1641,f3(f4(x1641),x1641))),
% 1.05/1.09 inference(rename_variables,[],[152])).
% 1.05/1.09 cnf(166,plain,
% 1.05/1.09 (~E(f3(a6,a1),f3(f4(f3(a6,a7)),f3(a6,a7)))),
% 1.05/1.09 inference(scs_inference,[],[152,164,162,161])).
% 1.05/1.09 cnf(167,plain,
% 1.05/1.09 (E(x1671,f3(f4(x1671),x1671))),
% 1.05/1.09 inference(rename_variables,[],[152])).
% 1.05/1.09 cnf(170,plain,
% 1.05/1.09 (E(f3(x1701,f3(x1702,f2(x1702))),f3(x1701,x1702))),
% 1.05/1.09 inference(rename_variables,[],[36])).
% 1.05/1.09 cnf(172,plain,
% 1.05/1.09 (~E(f3(a6,f3(a1,f2(a1))),f3(a6,a7))),
% 1.05/1.09 inference(scs_inference,[],[152,164,36,170,144,162,161,23,24])).
% 1.05/1.09 cnf(175,plain,
% 1.05/1.09 (P1(f3(f4(f3(a5,a6)),f3(a5,a6)))),
% 1.05/1.09 inference(scs_inference,[],[14,152,164,167,36,170,144,162,161,23,24,8])).
% 1.05/1.09 cnf(176,plain,
% 1.05/1.09 (E(x1761,f3(f4(x1761),x1761))),
% 1.05/1.09 inference(rename_variables,[],[152])).
% 1.05/1.09 cnf(178,plain,
% 1.05/1.09 (E(x1781,f3(f4(x1781),x1781))),
% 1.05/1.09 inference(rename_variables,[],[152])).
% 1.05/1.09 cnf(180,plain,
% 1.05/1.09 (P2(f3(f4(f2(a5)),f2(a5)),f2(a5))),
% 1.05/1.09 inference(scs_inference,[],[14,152,164,167,176,178,36,170,144,106,162,161,23,24,8,21,9])).
% 1.05/1.09 cnf(181,plain,
% 1.05/1.09 (E(x1811,f3(f4(x1811),x1811))),
% 1.05/1.09 inference(rename_variables,[],[152])).
% 1.05/1.09 cnf(182,plain,
% 1.05/1.09 (E(f4(a6),f3(f4(f2(a5)),f2(a5)))),
% 1.05/1.09 inference(scs_inference,[],[31,14,152,164,167,176,178,181,36,170,144,106,162,161,23,24,8,21,9,3])).
% 1.05/1.09 cnf(187,plain,
% 1.05/1.09 (P1(f3(f4(f2(a5)),f2(a5)))),
% 1.05/1.09 inference(scs_inference,[],[31,14,152,164,167,176,178,181,36,170,144,141,154,106,37,162,161,23,24,8,21,9,3,10,2,22])).
% 1.05/1.09 cnf(190,plain,
% 1.05/1.09 (E(x1901,f3(f4(x1901),x1901))),
% 1.05/1.09 inference(rename_variables,[],[152])).
% 1.05/1.09 cnf(193,plain,
% 1.05/1.09 (E(x1931,f3(f4(x1931),x1931))),
% 1.05/1.09 inference(rename_variables,[],[152])).
% 1.05/1.09 cnf(195,plain,
% 1.05/1.09 (~E(f3(a5,a7),f3(a5,a1))),
% 1.05/1.09 inference(scs_inference,[],[65,160,152,190,162,161,23])).
% 1.05/1.09 cnf(196,plain,
% 1.05/1.09 (E(f3(x1961,f3(f4(x1962),x1962)),f3(x1961,x1962))),
% 1.05/1.09 inference(rename_variables,[],[65])).
% 1.05/1.09 cnf(198,plain,
% 1.05/1.09 (~E(f3(a6,a7),f3(a6,a1))),
% 1.05/1.09 inference(scs_inference,[],[65,196,160,152,190,162,161,23,24])).
% 1.05/1.09 cnf(204,plain,
% 1.05/1.09 (~P2(a1,f3(f3(a7,f2(a7)),f2(a7)))),
% 1.05/1.09 inference(scs_inference,[],[65,196,84,103,160,152,190,193,36,162,161,23,24,21,9])).
% 1.05/1.09 cnf(206,plain,
% 1.05/1.09 (~E(f3(f4(a1),a1),f3(a7,f2(a7)))),
% 1.05/1.09 inference(scs_inference,[],[65,196,84,103,160,152,190,193,36,12,162,161,23,24,21,9,3])).
% 1.05/1.09 cnf(208,plain,
% 1.05/1.09 (E(f2(a5),f4(a6))),
% 1.05/1.09 inference(scs_inference,[],[31,65,196,84,103,160,152,190,193,36,12,162,161,23,24,21,9,3,2])).
% 1.05/1.09 cnf(211,plain,
% 1.05/1.09 (P1(f3(a1,f2(f3(a5,a1))))),
% 1.05/1.09 inference(scs_inference,[],[31,65,196,131,133,84,103,160,152,190,193,36,12,162,161,23,24,21,9,3,2,26,43])).
% 1.05/1.09 cnf(220,plain,
% 1.05/1.09 (~E(f3(a1,f2(a1)),f3(f4(a7),a7))),
% 1.05/1.09 inference(scs_inference,[],[150,87,21])).
% 1.05/1.09 cnf(222,plain,
% 1.05/1.09 (~P2(f3(a1,f2(a1)),f3(f3(a7,f2(a7)),f2(a7)))),
% 1.05/1.09 inference(scs_inference,[],[150,204,87,12,21,9])).
% 1.05/1.09 cnf(224,plain,
% 1.05/1.09 (E(f4(f3(f4(a6),a6)),f2(a5))),
% 1.05/1.09 inference(scs_inference,[],[31,92,150,204,87,12,21,9,3])).
% 1.05/1.09 cnf(226,plain,
% 1.05/1.09 (~E(f3(a7,f2(a7)),f3(f4(a1),a1))),
% 1.05/1.09 inference(scs_inference,[],[31,92,206,150,204,87,12,21,9,3,2])).
% 1.05/1.09 cnf(228,plain,
% 1.05/1.09 (E(x2281,f3(f4(x2281),x2281))),
% 1.05/1.09 inference(rename_variables,[],[152])).
% 1.05/1.09 cnf(230,plain,
% 1.05/1.09 (P2(f2(a5),f4(a6))),
% 1.05/1.09 inference(scs_inference,[],[31,92,206,150,208,204,152,87,12,21,9,3,2,62,99])).
% 1.05/1.09 cnf(232,plain,
% 1.05/1.09 (P2(f3(f4(f3(a5,a6)),f3(a5,a6)),f3(a5,a6))),
% 1.05/1.09 inference(scs_inference,[],[31,92,206,150,208,204,152,228,87,12,21,9,3,2,62,99,105])).
% 1.05/1.09 cnf(234,plain,
% 1.05/1.09 (~E(f3(a6,a7),f3(f3(a6,a1),f2(f3(a6,a1))))),
% 1.05/1.09 inference(scs_inference,[],[31,92,206,150,208,204,86,152,228,87,12,21,9,3,2,62,99,105,161])).
% 1.05/1.09 cnf(235,plain,
% 1.05/1.09 (E(x2351,f3(x2351,f2(x2351)))),
% 1.05/1.09 inference(rename_variables,[],[86])).
% 1.05/1.09 cnf(237,plain,
% 1.05/1.09 (E(f3(x2371,f2(f3(a5,x2371))),x2371)),
% 1.05/1.09 inference(scs_inference,[],[31,92,206,150,208,204,66,86,235,152,228,87,12,21,9,3,2,62,99,105,161,23])).
% 1.05/1.09 cnf(238,plain,
% 1.05/1.09 (E(x2381,f3(x2381,f2(x2381)))),
% 1.05/1.09 inference(rename_variables,[],[86])).
% 1.05/1.09 cnf(239,plain,
% 1.05/1.09 (E(f3(x2391,f3(x2392,x2393)),f3(f3(x2391,x2392),x2393))),
% 1.05/1.09 inference(rename_variables,[],[66])).
% 1.05/1.09 cnf(241,plain,
% 1.05/1.09 (E(f3(a5,a6),f3(a5,f3(f4(a6),a6)))),
% 1.05/1.09 inference(scs_inference,[],[31,92,206,150,208,204,66,86,235,152,228,87,12,21,9,3,2,62,99,105,161,23,20])).
% 1.05/1.09 cnf(243,plain,
% 1.05/1.09 (E(f3(x2431,f2(f3(a6,x2431))),x2431)),
% 1.05/1.09 inference(scs_inference,[],[31,92,206,150,208,204,66,239,86,235,238,152,228,87,12,21,9,3,2,62,99,105,161,23,20,24])).
% 1.05/1.09 cnf(248,plain,
% 1.05/1.09 (E(f3(x2481,f3(f4(x2482),x2482)),f3(x2481,x2482))),
% 1.05/1.09 inference(rename_variables,[],[65])).
% 1.05/1.09 cnf(250,plain,
% 1.05/1.09 (~P2(a7,a1)),
% 1.05/1.09 inference(scs_inference,[],[57,65,206,23,20])).
% 1.05/1.09 cnf(256,plain,
% 1.05/1.09 (E(x2561,f3(x2561,f2(f3(a6,x2561))))),
% 1.05/1.09 inference(rename_variables,[],[137])).
% 1.05/1.09 cnf(261,plain,
% 1.05/1.09 (E(f4(x2611),f4(f3(x2611,f2(x2611))))),
% 1.05/1.09 inference(scs_inference,[],[35,57,137,222,88,172,113,65,248,206,36,23,20,24,21,10,3,2])).
% 1.05/1.09 cnf(264,plain,
% 1.05/1.09 (P1(f3(a5,f2(f3(a6,a5))))),
% 1.05/1.09 inference(scs_inference,[],[35,57,137,256,222,224,88,172,113,65,248,206,36,39,23,20,24,21,10,3,2,27,8])).
% 1.05/1.09 cnf(266,plain,
% 1.05/1.09 (E(f3(x2661,f2(a5)),f3(x2661,f4(a6)))),
% 1.05/1.09 inference(scs_inference,[],[35,57,137,256,222,224,88,172,113,65,248,206,208,36,39,23,20,24,21,10,3,2,27,8,6])).
% 1.05/1.09 cnf(270,plain,
% 1.05/1.09 (P2(f3(a1,f2(f3(a5,a1))),a1)),
% 1.05/1.09 inference(scs_inference,[],[237,211,241,105,21])).
% 1.05/1.09 cnf(271,plain,
% 1.05/1.09 (E(f3(x2711,f2(f3(a5,x2711))),x2711)),
% 1.05/1.09 inference(rename_variables,[],[237])).
% 1.05/1.09 cnf(273,plain,
% 1.05/1.09 (~P2(a1,f3(a7,f2(f3(a5,a7))))),
% 1.05/1.09 inference(scs_inference,[],[29,237,271,211,241,105,21,10])).
% 1.05/1.09 cnf(274,plain,
% 1.05/1.09 (E(f3(x2741,f2(f3(a5,x2741))),x2741)),
% 1.05/1.09 inference(rename_variables,[],[237])).
% 1.05/1.09 cnf(275,plain,
% 1.05/1.09 (P2(f3(f4(f2(a5)),f4(a6)),f2(a5))),
% 1.05/1.09 inference(scs_inference,[],[29,237,271,266,211,241,180,105,21,10,9])).
% 1.05/1.09 cnf(279,plain,
% 1.05/1.09 (~E(f3(f3(a6,a1),f2(f3(a6,a1))),f3(a6,a7))),
% 1.05/1.09 inference(scs_inference,[],[29,234,237,271,274,266,211,241,180,57,105,21,10,9,3,2])).
% 1.05/1.09 cnf(287,plain,
% 1.05/1.09 (~E(f3(a5,a1),f3(a5,a7))),
% 1.05/1.09 inference(scs_inference,[],[33,36,23])).
% 1.05/1.09 cnf(288,plain,
% 1.05/1.09 (E(f3(x2881,f3(x2882,f2(x2882))),f3(x2881,x2882))),
% 1.05/1.09 inference(rename_variables,[],[36])).
% 1.05/1.09 cnf(292,plain,
% 1.05/1.09 (~E(f3(a6,f3(a5,a1)),f3(a6,f3(a5,a7)))),
% 1.05/1.09 inference(scs_inference,[],[33,36,288,153,187,266,23,8,24])).
% 1.05/1.09 cnf(293,plain,
% 1.05/1.09 (E(f3(x2931,f3(x2932,f2(x2932))),f3(x2931,x2932))),
% 1.05/1.09 inference(rename_variables,[],[36])).
% 1.05/1.09 cnf(295,plain,
% 1.05/1.09 (E(f3(f4(f2(a5)),f4(a6)),f2(a5))),
% 1.05/1.09 inference(scs_inference,[],[33,36,288,153,187,275,266,23,8,24,20])).
% 1.05/1.09 cnf(299,plain,
% 1.05/1.09 (P2(f2(a5),f4(f3(a6,f2(a6))))),
% 1.05/1.09 inference(scs_inference,[],[33,36,288,261,153,187,275,273,230,266,11,23,8,24,20,21,10])).
% 1.05/1.09 cnf(301,plain,
% 1.05/1.09 (~P2(f3(a1,f2(f3(a6,a1))),a7)),
% 1.05/1.09 inference(scs_inference,[],[33,36,288,29,261,153,243,187,275,273,230,266,11,23,8,24,20,21,10,9])).
% 1.05/1.09 cnf(303,plain,
% 1.05/1.09 (E(f3(f3(x3031,x3032),f2(x3032)),f3(x3031,x3032))),
% 1.05/1.09 inference(scs_inference,[],[16,33,36,288,293,29,261,153,243,187,275,273,230,266,11,23,8,24,20,21,10,9,3])).
% 1.05/1.09 cnf(304,plain,
% 1.05/1.09 (E(f3(x3041,f3(x3042,f2(x3042))),f3(x3041,x3042))),
% 1.05/1.09 inference(rename_variables,[],[36])).
% 1.05/1.09 cnf(306,plain,
% 1.05/1.09 (E(f3(x3061,x3062),f3(x3061,f3(x3062,f2(x3062))))),
% 1.05/1.09 inference(scs_inference,[],[16,33,36,288,293,304,29,261,153,243,187,275,273,230,266,11,23,8,24,20,21,10,9,3,2])).
% 1.05/1.09 cnf(313,plain,
% 1.05/1.09 (P1(f3(a1,f2(f3(a6,a1))))),
% 1.05/1.09 inference(scs_inference,[],[16,33,36,288,293,304,29,261,175,153,243,187,275,273,230,137,266,11,23,8,24,20,21,10,9,3,2,26,18,162,43])).
% 1.05/1.09 cnf(318,plain,
% 1.05/1.09 (E(f3(f2(a5),x3181),f3(f4(a6),x3181))),
% 1.05/1.09 inference(scs_inference,[],[16,33,36,288,293,304,29,261,175,153,243,187,264,275,273,230,137,266,208,11,23,8,24,20,21,10,9,3,2,26,18,162,43,25,7,5])).
% 1.05/1.09 cnf(321,plain,
% 1.05/1.09 (E(f3(x3211,x3212),f3(x3211,f3(x3212,f2(x3212))))),
% 1.05/1.09 inference(rename_variables,[],[306])).
% 1.05/1.09 cnf(323,plain,
% 1.06/1.09 (~E(f3(a6,a1),f3(a6,f3(a7,f2(a7))))),
% 1.06/1.09 inference(scs_inference,[],[306,321,162,161])).
% 1.06/1.09 cnf(326,plain,
% 1.06/1.09 (~P2(f3(a5,a1),f3(a5,a7))),
% 1.06/1.09 inference(scs_inference,[],[306,321,287,162,161,20])).
% 1.06/1.09 cnf(333,plain,
% 1.06/1.09 (E(f3(f3(f3(x3331,x3332),x3333),f2(x3333)),f3(x3331,f3(x3332,x3333)))),
% 1.06/1.09 inference(scs_inference,[],[16,303,306,321,287,270,133,237,88,162,161,20,21,9,3])).
% 1.06/1.09 cnf(335,plain,
% 1.06/1.09 (~E(f3(a6,f3(a5,a7)),f3(a6,f3(a5,a1)))),
% 1.06/1.09 inference(scs_inference,[],[16,303,306,321,287,292,270,133,237,88,162,161,20,21,9,3,2])).
% 1.06/1.09 cnf(344,plain,
% 1.06/1.09 (E(f2(a5),f4(f3(a6,f2(a6))))),
% 1.06/1.09 inference(scs_inference,[],[299,306,161,20])).
% 1.06/1.09 cnf(347,plain,
% 1.06/1.09 (E(f3(x3471,f2(f3(a6,x3471))),x3471)),
% 1.06/1.09 inference(rename_variables,[],[243])).
% 1.06/1.09 cnf(349,plain,
% 1.06/1.09 (~P2(a1,f3(a7,f2(f3(a6,a7))))),
% 1.06/1.09 inference(scs_inference,[],[29,313,299,306,243,347,161,20,21,10])).
% 1.06/1.09 cnf(351,plain,
% 1.06/1.09 (~E(f3(a6,f3(a5,a7)),f3(f3(a6,f2(a6)),f3(a5,a1)))),
% 1.06/1.09 inference(scs_inference,[],[37,29,335,313,299,306,243,347,161,20,21,10,3])).
% 1.06/1.09 cnf(352,plain,
% 1.06/1.09 (E(f3(f3(x3521,f2(x3521)),x3522),f3(x3521,x3522))),
% 1.06/1.09 inference(rename_variables,[],[37])).
% 1.06/1.09 cnf(353,plain,
% 1.06/1.09 (E(f3(x3531,x3532),f3(f3(x3531,f2(x3531)),x3532))),
% 1.06/1.09 inference(scs_inference,[],[37,352,29,335,313,299,306,243,347,161,20,21,10,3,2])).
% 1.06/1.09 cnf(356,plain,
% 1.06/1.09 (E(f3(x3561,x3562),f3(x3561,f3(f4(x3562),x3562)))),
% 1.06/1.09 inference(scs_inference,[],[37,352,29,335,313,299,306,243,347,152,161,20,21,10,3,2,162,6])).
% 1.06/1.09 cnf(358,plain,
% 1.06/1.09 (E(f3(x3581,x3582),f3(f3(x3581,f2(x3581)),x3582))),
% 1.06/1.09 inference(rename_variables,[],[353])).
% 1.06/1.09 cnf(361,plain,
% 1.06/1.09 (E(f3(x3611,x3612),f3(f3(x3611,f2(x3611)),x3612))),
% 1.06/1.09 inference(rename_variables,[],[353])).
% 1.06/1.09 cnf(368,plain,
% 1.06/1.09 (E(f3(f3(x3681,f2(x3681)),x3682),f3(x3681,x3682))),
% 1.06/1.09 inference(rename_variables,[],[37])).
% 1.06/1.09 cnf(375,plain,
% 1.06/1.09 (E(f3(x3751,x3752),f3(f3(x3751,f2(x3751)),x3752))),
% 1.06/1.09 inference(rename_variables,[],[353])).
% 1.06/1.09 cnf(377,plain,
% 1.06/1.09 (P1(f4(f3(a6,f2(a6))))),
% 1.06/1.09 inference(scs_inference,[],[37,368,353,358,361,326,323,351,143,344,301,313,106,162,161,20,21,10,9,3,2,60,22])).
% 1.06/1.09 cnf(379,plain,
% 1.06/1.09 (P2(f3(f3(a5,f2(a5)),a6),f3(a5,a6))),
% 1.06/1.09 inference(scs_inference,[],[37,368,353,358,361,375,326,323,351,143,344,301,313,106,162,161,20,21,10,9,3,2,60,22,105])).
% 1.06/1.09 cnf(380,plain,
% 1.06/1.09 (E(f3(x3801,x3802),f3(f3(x3801,f2(x3801)),x3802))),
% 1.06/1.09 inference(rename_variables,[],[353])).
% 1.06/1.09 cnf(381,plain,
% 1.06/1.09 (E(f2(a5),f2(f3(a5,f2(a5))))),
% 1.06/1.09 inference(scs_inference,[],[37,368,353,358,361,375,380,326,323,351,143,344,301,313,106,86,162,161,20,21,10,9,3,2,60,22,105,23])).
% 1.06/1.09 cnf(382,plain,
% 1.06/1.09 (E(x3821,f3(x3821,f2(x3821)))),
% 1.06/1.09 inference(rename_variables,[],[86])).
% 1.06/1.09 cnf(383,plain,
% 1.06/1.09 (E(f3(x3831,x3832),f3(f3(x3831,f2(x3831)),x3832))),
% 1.06/1.09 inference(rename_variables,[],[353])).
% 1.06/1.09 cnf(387,plain,
% 1.06/1.09 (E(f3(x3871,x3872),f3(f3(x3871,f2(x3871)),x3872))),
% 1.06/1.09 inference(rename_variables,[],[353])).
% 1.06/1.09 cnf(389,plain,
% 1.06/1.09 (P1(f3(f3(a1,f2(a1)),f2(a1)))),
% 1.06/1.09 inference(scs_inference,[],[37,368,353,358,361,375,380,383,387,326,323,351,143,344,301,313,106,87,86,382,162,161,20,21,10,9,3,2,60,22,105,23,24,8])).
% 1.06/1.09 cnf(393,plain,
% 1.06/1.09 (E(f3(x3931,x3932),f3(x3931,f3(f4(x3932),x3932)))),
% 1.06/1.09 inference(rename_variables,[],[356])).
% 1.06/1.09 cnf(398,plain,
% 1.06/1.09 (~E(f3(a5,f3(a6,a1)),f3(a5,f3(a6,a7)))),
% 1.06/1.09 inference(scs_inference,[],[356,393,166,377,65,19,162,161,23])).
% 1.06/1.10 cnf(399,plain,
% 1.06/1.10 (E(f3(x3991,f3(f4(x3992),x3992)),f3(x3991,x3992))),
% 1.06/1.10 inference(rename_variables,[],[65])).
% 1.06/1.10 cnf(404,plain,
% 1.06/1.10 (~E(a7,f3(f4(a1),a1))),
% 1.06/1.10 inference(scs_inference,[],[356,393,166,377,65,399,19,162,161,23,24,6])).
% 1.06/1.10 cnf(405,plain,
% 1.06/1.10 (P2(f3(f3(a1,f2(a1)),f2(a1)),f3(a1,f2(a1)))),
% 1.06/1.10 inference(scs_inference,[],[37,356,393,166,389,377,65,399,19,162,161,23,24,6,21])).
% 1.06/1.10 cnf(412,plain,
% 1.06/1.10 (E(f2(x4121),f2(f3(x4121,f2(x4121))))),
% 1.06/1.10 inference(scs_inference,[],[29,38,37,31,356,393,166,389,377,381,65,399,237,106,19,162,161,23,24,6,21,10,9,3,2])).
% 1.06/1.10 cnf(413,plain,
% 1.06/1.10 (P1(f2(f3(a1,f2(a1))))),
% 1.06/1.10 inference(scs_inference,[],[29,38,37,31,356,393,166,389,377,381,65,399,237,106,19,162,161,23,24,6,21,10,9,3,2,26])).
% 1.06/1.10 cnf(419,plain,
% 1.06/1.10 (P1(f3(f4(a1),a1))),
% 1.06/1.10 inference(scs_inference,[],[29,38,37,31,356,393,166,389,377,381,65,399,237,313,106,152,19,162,161,23,24,6,21,10,9,3,2,26,25,27,43])).
% 1.06/1.10 cnf(420,plain,
% 1.06/1.10 (E(x4201,f3(f4(x4201),x4201))),
% 1.06/1.10 inference(rename_variables,[],[152])).
% 1.06/1.10 cnf(421,plain,
% 1.06/1.10 (E(f4(x4211),f4(f3(f4(x4211),x4211)))),
% 1.06/1.10 inference(scs_inference,[],[29,38,37,31,356,393,166,389,377,381,65,399,237,313,106,152,420,19,162,161,23,24,6,21,10,9,3,2,26,25,27,43,7])).
% 1.06/1.10 cnf(422,plain,
% 1.06/1.10 (E(f3(x4221,x4222),f3(f3(f4(x4221),x4221),x4222))),
% 1.06/1.10 inference(scs_inference,[],[29,38,37,31,356,393,166,389,377,381,65,399,237,313,106,152,420,19,162,161,23,24,6,21,10,9,3,2,26,25,27,43,7,5])).
% 1.06/1.10 cnf(423,plain,
% 1.06/1.10 (E(f2(x4231),f2(f3(f4(x4231),x4231)))),
% 1.06/1.10 inference(scs_inference,[],[29,38,37,31,356,393,166,389,377,381,65,399,237,313,106,152,420,19,162,161,23,24,6,21,10,9,3,2,26,25,27,43,7,5,4])).
% 1.06/1.10 cnf(425,plain,
% 1.06/1.10 (E(f3(x4251,x4252),f3(f3(f4(x4251),x4251),x4252))),
% 1.06/1.10 inference(rename_variables,[],[422])).
% 1.06/1.10 cnf(431,plain,
% 1.06/1.10 (E(f3(x4311,f3(x4312,f2(x4312))),f3(x4311,x4312))),
% 1.06/1.10 inference(rename_variables,[],[36])).
% 1.06/1.10 cnf(434,plain,
% 1.06/1.10 (E(f3(x4341,f3(x4342,f2(x4342))),f3(x4341,x4342))),
% 1.06/1.10 inference(rename_variables,[],[36])).
% 1.06/1.10 cnf(436,plain,
% 1.06/1.10 (P1(f4(a6))),
% 1.06/1.10 inference(scs_inference,[],[35,36,431,422,425,226,377,162,161,23,24,8])).
% 1.06/1.10 cnf(439,plain,
% 1.06/1.10 (E(f2(f3(x4391,f2(x4391))),f2(x4391))),
% 1.06/1.10 inference(rename_variables,[],[38])).
% 1.06/1.10 cnf(443,plain,
% 1.06/1.10 (P2(f2(a1),f2(a1))),
% 1.06/1.10 inference(scs_inference,[],[38,439,35,36,431,422,425,226,413,250,377,243,162,161,23,24,8,21,10,9])).
% 1.06/1.10 cnf(447,plain,
% 1.06/1.10 (~E(f3(a5,f3(a6,a7)),f3(a5,f3(a6,a1)))),
% 1.06/1.10 inference(scs_inference,[],[38,439,35,36,431,434,422,425,398,226,75,413,250,377,243,162,161,23,24,8,21,10,9,3,2])).
% 1.06/1.10 cnf(459,plain,
% 1.06/1.10 (P2(f2(a5),f3(f4(a6),f2(f2(a5))))),
% 1.06/1.10 inference(scs_inference,[],[419,146,318,110,353,422,162,161,21,10])).
% 1.06/1.10 cnf(464,plain,
% 1.06/1.10 (E(f3(x4641,f3(x4642,x4643)),f3(f3(f3(x4641,x4642),x4643),f2(x4643)))),
% 1.06/1.10 inference(scs_inference,[],[31,333,419,405,146,318,110,423,353,422,141,162,161,21,10,9,3,2])).
% 1.06/1.10 cnf(467,plain,
% 1.06/1.10 (~E(f3(a6,f3(a6,a7)),f3(a6,f3(a6,a1)))),
% 1.06/1.10 inference(scs_inference,[],[31,36,333,419,279,405,146,318,110,423,353,422,141,413,162,161,21,10,9,3,2,27,24])).
% 1.06/1.10 cnf(470,plain,
% 1.06/1.10 (~E(f3(a5,f3(a5,a7)),f3(a5,f3(a5,a1)))),
% 1.06/1.10 inference(scs_inference,[],[36,157,23])).
% 1.06/1.10 cnf(473,plain,
% 1.06/1.10 (~E(f3(a5,a1),f3(a5,f3(f4(a7),a7)))),
% 1.06/1.10 inference(scs_inference,[],[36,157,356,23,162])).
% 1.06/1.10 cnf(474,plain,
% 1.06/1.10 (E(f3(x4741,x4742),f3(x4741,f3(f4(x4742),x4742)))),
% 1.06/1.10 inference(rename_variables,[],[356])).
% 1.06/1.10 cnf(477,plain,
% 1.06/1.10 (E(f3(x4771,f3(x4772,x4773)),f3(f3(f3(x4771,x4772),x4773),f2(x4773)))),
% 1.06/1.10 inference(rename_variables,[],[464])).
% 1.06/1.10 cnf(484,plain,
% 1.06/1.10 (P2(f4(a6),f2(a5))),
% 1.06/1.10 inference(scs_inference,[],[31,36,464,157,459,436,195,356,474,23,162,24,161,20,21])).
% 1.06/1.10 cnf(494,plain,
% 1.06/1.10 (E(f3(x4941,x4942),f3(f3(f4(x4941),x4941),x4942))),
% 1.06/1.10 inference(rename_variables,[],[422])).
% 1.06/1.10 cnf(496,plain,
% 1.06/1.10 (P1(f3(f3(a5,f2(a5)),a6))),
% 1.06/1.10 inference(scs_inference,[],[31,37,36,412,464,477,447,163,157,459,436,443,93,195,379,356,474,422,23,162,24,161,20,21,10,9,3,2,60,22])).
% 1.06/1.10 cnf(498,plain,
% 1.06/1.10 (P2(f3(f3(f4(a5),a5),a6),f3(a5,a6))),
% 1.06/1.10 inference(scs_inference,[],[31,37,36,412,464,477,447,163,157,459,436,443,93,195,379,356,474,422,494,23,162,24,161,20,21,10,9,3,2,60,22,105])).
% 1.06/1.10 cnf(505,plain,
% 1.06/1.10 (P2(f4(f3(a6,f2(a6))),f4(a6))),
% 1.06/1.10 inference(scs_inference,[],[35,470,377,422,161,20,21])).
% 1.06/1.10 cnf(511,plain,
% 1.06/1.10 (E(f3(f3(x5111,f2(x5111)),x5112),f3(x5111,x5112))),
% 1.06/1.10 inference(rename_variables,[],[37])).
% 1.06/1.10 cnf(512,plain,
% 1.06/1.10 (~E(f3(a5,f3(a5,a7)),f3(f3(a5,f2(a5)),f3(a5,a1)))),
% 1.06/1.10 inference(scs_inference,[],[35,37,511,470,250,405,377,422,237,161,20,21,10,9,3])).
% 1.06/1.10 cnf(514,plain,
% 1.06/1.10 (E(f2(a5),f3(f4(f2(a5)),f4(a6)))),
% 1.06/1.10 inference(scs_inference,[],[35,37,511,470,295,250,405,377,422,237,161,20,21,10,9,3,2])).
% 1.06/1.10 cnf(524,plain,
% 1.06/1.10 (E(x5241,f3(f2(a5),x5241))),
% 1.06/1.10 inference(scs_inference,[],[66,353,23])).
% 1.06/1.10 cnf(525,plain,
% 1.06/1.10 (E(f3(x5251,x5252),f3(f3(x5251,f2(x5251)),x5252))),
% 1.06/1.10 inference(rename_variables,[],[353])).
% 1.06/1.10 cnf(526,plain,
% 1.06/1.10 (E(f3(x5261,f3(x5262,x5263)),f3(f3(x5261,x5262),x5263))),
% 1.06/1.10 inference(rename_variables,[],[66])).
% 1.06/1.10 cnf(530,plain,
% 1.06/1.10 (E(f3(f2(a6),x5301),x5301)),
% 1.06/1.10 inference(scs_inference,[],[66,526,353,525,23,162,24])).
% 1.06/1.10 cnf(532,plain,
% 1.06/1.10 (E(f3(x5321,f3(x5322,x5323)),f3(f3(x5321,x5322),x5323))),
% 1.06/1.10 inference(rename_variables,[],[66])).
% 1.06/1.10 cnf(536,plain,
% 1.06/1.10 (P2(f4(a6),f3(f4(f2(a5)),f4(a6)))),
% 1.06/1.10 inference(scs_inference,[],[484,514,349,66,526,353,525,11,23,162,24,21,10])).
% 1.06/1.10 cnf(542,plain,
% 1.06/1.10 (~E(f3(f3(a5,f2(a5)),f3(a5,a1)),f3(a5,f3(a5,a7)))),
% 1.06/1.10 inference(scs_inference,[],[37,421,512,484,514,349,66,526,532,353,525,11,23,162,24,21,10,9,3,2])).
% 1.06/1.10 cnf(545,plain,
% 1.06/1.10 (E(f3(x5451,f3(f2(a6),x5452)),f3(x5451,x5452))),
% 1.06/1.10 inference(scs_inference,[],[37,421,512,484,514,349,66,526,532,353,525,11,23,162,24,21,10,9,3,2,99,6])).
% 1.06/1.10 cnf(548,plain,
% 1.06/1.10 (E(f4(f3(f2(a6),x5481)),f4(x5481))),
% 1.06/1.10 inference(scs_inference,[],[37,421,512,484,514,349,66,526,532,353,525,11,23,162,24,21,10,9,3,2,99,6,20,7])).
% 1.06/1.10 cnf(552,plain,
% 1.06/1.10 (E(x5521,f3(f2(a5),x5521))),
% 1.06/1.10 inference(rename_variables,[],[524])).
% 1.06/1.10 cnf(555,plain,
% 1.06/1.10 (E(x5551,f3(f2(a5),x5551))),
% 1.06/1.10 inference(rename_variables,[],[524])).
% 1.06/1.10 cnf(557,plain,
% 1.06/1.10 (E(x5571,f3(f2(a5),x5571))),
% 1.06/1.10 inference(rename_variables,[],[524])).
% 1.06/1.10 cnf(563,plain,
% 1.06/1.10 (E(x5631,f3(f2(a5),x5631))),
% 1.06/1.10 inference(rename_variables,[],[524])).
% 1.06/1.10 cnf(567,plain,
% 1.06/1.10 (P2(f2(a5),f3(f2(a5),f2(a5)))),
% 1.06/1.10 inference(scs_inference,[],[39,36,220,524,552,555,557,563,536,62,8,162,24,161,20,21])).
% 1.06/1.10 cnf(568,plain,
% 1.06/1.10 (E(x5681,f3(f2(a5),x5681))),
% 1.06/1.10 inference(rename_variables,[],[524])).
% 1.06/1.10 cnf(574,plain,
% 1.06/1.10 (~E(f3(a5,f3(a5,a1)),f3(a5,f3(a5,a7)))),
% 1.06/1.10 inference(scs_inference,[],[41,39,36,37,542,220,524,552,555,557,563,568,530,536,232,62,8,162,24,161,20,21,10,9,3])).
% 1.06/1.10 cnf(580,plain,
% 1.06/1.10 (E(f3(x5801,x5802),f3(x5801,f3(f2(a5),x5802)))),
% 1.06/1.10 inference(scs_inference,[],[524,6])).
% 1.06/1.10 cnf(585,plain,
% 1.06/1.10 (E(x5851,f3(f2(a5),x5851))),
% 1.06/1.10 inference(rename_variables,[],[524])).
% 1.06/1.10 cnf(591,plain,
% 1.06/1.10 (~P2(f3(f4(a1),a1),f3(f2(a6),a7))),
% 1.06/1.10 inference(scs_inference,[],[42,574,182,198,464,524,530,436,6,24,161,20,21,10])).
% 1.06/1.10 cnf(599,plain,
% 1.06/1.10 (E(x5991,f3(f2(a5),x5991))),
% 1.06/1.10 inference(rename_variables,[],[524])).
% 1.06/1.10 cnf(603,plain,
% 1.06/1.10 (P2(f3(f2(a5),f3(a5,a6)),f3(a5,a6))),
% 1.06/1.10 inference(scs_inference,[],[35,42,36,574,473,404,498,182,505,198,464,524,585,599,530,436,6,24,161,20,21,10,9,3,2,60,22,105])).
% 1.06/1.10 cnf(606,plain,
% 1.06/1.10 (E(f3(x6061,x6062),f3(x6061,f3(f2(a5),x6062)))),
% 1.06/1.10 inference(rename_variables,[],[580])).
% 1.06/1.10 cnf(610,plain,
% 1.06/1.10 (E(f3(x6101,x6102),f3(x6101,f3(f2(a5),x6102)))),
% 1.06/1.10 inference(rename_variables,[],[580])).
% 1.06/1.10 cnf(622,plain,
% 1.06/1.10 (E(f3(a5,f3(a6,a7)),f3(f3(a5,a6),a1))),
% 1.06/1.10 inference(scs_inference,[],[41,603,82,545,580,606,610,548,95,591,419,162,6,161,20,21,10,9,3,2])).
% 1.06/1.10 cnf(623,plain,
% 1.06/1.10 (P1(f2(f3(a5,f2(a5))))),
% 1.06/1.10 inference(scs_inference,[],[41,603,496,82,545,580,606,610,548,95,591,419,162,6,161,20,21,10,9,3,2,26])).
% 1.06/1.10 cnf(635,plain,
% 1.06/1.10 (E(f3(x6351,x6352),f3(x6351,f3(f2(a5),x6352)))),
% 1.06/1.10 inference(rename_variables,[],[580])).
% 1.06/1.10 cnf(644,plain,
% 1.06/1.10 ($false),
% 1.06/1.10 inference(scs_inference,[],[36,38,42,467,622,623,567,447,580,635,16,18,20,161,21,10,9,3]),
% 1.06/1.10 ['proof']).
% 1.06/1.10 % SZS output end Proof
% 1.06/1.10 % Total time :0.450000s
%------------------------------------------------------------------------------