TSTP Solution File: CAT005-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT005-4 : 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 : n013.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 18:13:41 EDT 2023
% Result : Unsatisfiable 0.70s 0.83s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT005-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n013.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 : 300
% 0.12/0.34 % DateTime : Sun Aug 27 00:15:17 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.70/0.83 %-------------------------------------------
% 0.70/0.83 % File :CSE---1.6
% 0.70/0.83 % Problem :theBenchmark
% 0.70/0.83 % Transform :cnf
% 0.70/0.83 % Format :tptp:raw
% 0.70/0.83 % Command :java -jar mcs_scs.jar %d %s
% 0.70/0.83
% 0.70/0.83 % Result :Theorem 0.220000s
% 0.70/0.83 % Output :CNFRefutation 0.220000s
% 0.70/0.83 %-------------------------------------------
% 0.70/0.83 %--------------------------------------------------------------------------
% 0.70/0.83 % File : CAT005-4 : TPTP v8.1.2. Released v1.0.0.
% 0.70/0.83 % Domain : Category Theory
% 0.70/0.83 % Problem : Domain is the unique right identity
% 0.70/0.83 % Version : [Sco79] axioms : Reduced > Complete.
% 0.70/0.83 % English : domain(x) is the unique identity i such that xi is defined.
% 0.70/0.83
% 0.70/0.83 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.70/0.83 % Source : [TPTP]
% 0.70/0.83 % Names :
% 0.70/0.83
% 0.70/0.83 % Status : Unsatisfiable
% 0.70/0.83 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.14 v3.1.0, 0.22 v2.7.0, 0.17 v2.6.0, 0.43 v2.5.0, 0.20 v2.4.0, 0.17 v2.2.1, 0.11 v2.2.0, 0.14 v2.1.0, 0.20 v2.0.0
% 0.70/0.83 % Syntax : Number of clauses : 15 ( 5 unt; 0 nHn; 12 RR)
% 0.70/0.83 % Number of literals : 27 ( 10 equ; 13 neg)
% 0.70/0.83 % Maximal clause size : 3 ( 1 avg)
% 0.70/0.83 % Maximal term depth : 3 ( 1 avg)
% 0.70/0.83 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.70/0.83 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.70/0.83 % Number of variables : 21 ( 2 sgn)
% 0.70/0.83 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.70/0.83
% 0.70/0.83 % Comments : The dependent axioms have been removed.
% 0.70/0.83 %--------------------------------------------------------------------------
% 0.70/0.83 %----Include Scott's axioms for category theory
% 0.70/0.83 include('Axioms/CAT004-0.ax').
% 0.70/0.83 %--------------------------------------------------------------------------
% 0.70/0.83 %----Denial of the theorem: d is an identity not equal to dom(a),
% 0.70/0.83 cnf(ad_exists,hypothesis,
% 0.70/0.83 there_exists(compose(a,d)) ).
% 0.70/0.83
% 0.70/0.83 cnf(xd_equals_x,hypothesis,
% 0.70/0.83 ( ~ there_exists(compose(X,d))
% 0.70/0.83 | compose(X,d) = X ) ).
% 0.70/0.83
% 0.70/0.83 cnf(dy_equals_y,hypothesis,
% 0.70/0.83 ( ~ there_exists(compose(d,Y))
% 0.70/0.83 | compose(d,Y) = Y ) ).
% 0.70/0.83
% 0.70/0.83 cnf(prove_domain_of_a_is_d,negated_conjecture,
% 0.70/0.83 domain(a) != d ).
% 0.70/0.83
% 0.70/0.83 %--------------------------------------------------------------------------
% 0.70/0.83 %-------------------------------------------
% 0.70/0.83 % Proof found
% 0.70/0.83 % SZS status Theorem for theBenchmark
% 0.70/0.83 % SZS output start Proof
% 0.70/0.83 %ClaNum:25(EqnAxiom:10)
% 0.70/0.83 %VarNum:46(SingletonVarNum:21)
% 0.70/0.83 %MaxLitNum:3
% 0.70/0.83 %MaxfuncDepth:2
% 0.70/0.83 %SharedTerms:6
% 0.70/0.83 %goalClause: 15
% 0.70/0.83 %singleGoalClaCount:1
% 0.70/0.83 [13]P1(f2(a4,a5))
% 0.70/0.83 [15]~E(f1(a4),a5)
% 0.70/0.83 [11]E(f2(x111,f1(x111)),x111)
% 0.70/0.83 [12]E(f2(f3(x121),x121),x121)
% 0.70/0.83 [14]E(f2(f2(x141,x142),x143),f2(x141,f2(x142,x143)))
% 0.70/0.83 [16]P1(x161)+~P1(f1(x161))
% 0.70/0.83 [17]P1(x171)+~P1(f3(x171))
% 0.70/0.83 [22]E(f2(x221,a5),x221)+~P1(f2(x221,a5))
% 0.70/0.83 [23]E(f2(a5,x231),x231)+~P1(f2(a5,x231))
% 0.70/0.83 [18]~P2(x181,x182)+E(x181,x182)
% 0.70/0.83 [20]P1(x201)+~P2(x201,x202)
% 0.70/0.83 [21]E(f3(x211),f1(x212))+~P1(f2(x212,x211))
% 0.70/0.83 [24]P1(f1(x241))+~P1(f2(x241,x242))
% 0.70/0.83 [19]~E(x191,x192)+~P1(x191)+P2(x191,x192)
% 0.70/0.83 [25]~E(f3(x252),f1(x251))+~P1(f1(x251))+P1(f2(x251,x252))
% 0.70/0.83 %EqnAxiom
% 0.70/0.83 [1]E(x11,x11)
% 0.70/0.83 [2]E(x22,x21)+~E(x21,x22)
% 0.70/0.83 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.70/0.83 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.70/0.83 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 0.70/0.83 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 0.70/0.83 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 0.70/0.83 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.70/0.83 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 0.70/0.83 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 0.70/0.83
% 0.70/0.83 %-------------------------------------------
% 0.70/0.84 cnf(26,plain,
% 0.70/0.84 (E(x261,f2(x261,f1(x261)))),
% 0.70/0.84 inference(scs_inference,[],[11,2])).
% 0.70/0.84 cnf(27,plain,
% 0.70/0.84 (~P2(f1(a4),a5)),
% 0.70/0.84 inference(scs_inference,[],[15,11,2,18])).
% 0.70/0.84 cnf(29,plain,
% 0.70/0.84 (E(f2(a4,a5),a4)),
% 0.70/0.84 inference(scs_inference,[],[15,13,11,2,18,22])).
% 0.70/0.84 cnf(31,plain,
% 0.70/0.84 (E(f3(a5),f1(a4))),
% 0.77/0.84 inference(scs_inference,[],[15,13,11,2,18,22,21])).
% 0.77/0.84 cnf(33,plain,
% 0.77/0.84 (P1(f2(f2(a4,a5),f1(f2(a4,a5))))),
% 0.77/0.84 inference(scs_inference,[],[15,13,11,2,18,22,21,8])).
% 0.77/0.84 cnf(34,plain,
% 0.77/0.84 (~E(f1(a4),f2(f3(a5),a5))),
% 0.77/0.84 inference(scs_inference,[],[15,13,11,12,2,18,22,21,8,3])).
% 0.77/0.84 cnf(35,plain,
% 0.77/0.84 (E(f2(f3(x351),x351),x351)),
% 0.77/0.84 inference(rename_variables,[],[12])).
% 0.77/0.84 cnf(36,plain,
% 0.77/0.84 (P2(f2(a4,a5),f2(f2(a4,a5),f1(f2(a4,a5))))),
% 0.77/0.84 inference(scs_inference,[],[15,13,11,12,2,18,22,21,8,3,19])).
% 0.77/0.84 cnf(38,plain,
% 0.77/0.84 (E(f3(f2(f3(x381),x381)),f3(x381))),
% 0.77/0.84 inference(scs_inference,[],[15,13,11,12,35,2,18,22,21,8,3,19,7])).
% 0.77/0.84 cnf(39,plain,
% 0.77/0.84 (E(f2(x391,f2(f3(x392),x392)),f2(x391,x392))),
% 0.77/0.84 inference(scs_inference,[],[15,13,11,12,35,2,18,22,21,8,3,19,7,6])).
% 0.77/0.84 cnf(40,plain,
% 0.77/0.84 (E(f2(f2(f3(x401),x401),x402),f2(x401,x402))),
% 0.77/0.84 inference(scs_inference,[],[15,13,11,12,35,2,18,22,21,8,3,19,7,6,5])).
% 0.77/0.84 cnf(41,plain,
% 0.77/0.84 (E(f1(f2(f3(x411),x411)),f1(x411))),
% 0.77/0.84 inference(scs_inference,[],[15,13,11,12,35,2,18,22,21,8,3,19,7,6,5,4])).
% 0.77/0.84 cnf(42,plain,
% 0.77/0.84 (P1(f1(a4))),
% 0.77/0.84 inference(scs_inference,[],[15,13,11,12,35,2,18,22,21,8,3,19,7,6,5,4,24])).
% 0.77/0.84 cnf(44,plain,
% 0.77/0.84 (~P2(f1(a4),f2(f3(a5),a5))),
% 0.77/0.84 inference(scs_inference,[],[15,13,11,12,35,2,18,22,21,8,3,19,7,6,5,4,24,10])).
% 0.77/0.84 cnf(45,plain,
% 0.77/0.84 (~P2(f3(a5),a5)),
% 0.77/0.84 inference(scs_inference,[],[15,13,11,12,35,2,18,22,21,8,3,19,7,6,5,4,24,10,9])).
% 0.77/0.84 cnf(46,plain,
% 0.77/0.84 (P1(a4)),
% 0.77/0.84 inference(scs_inference,[],[15,13,11,12,35,2,18,22,21,8,3,19,7,6,5,4,24,10,9,16])).
% 0.77/0.84 cnf(48,plain,
% 0.77/0.84 (~P2(f2(f1(a4),f1(f1(a4))),a5)),
% 0.77/0.84 inference(scs_inference,[],[11,27,9])).
% 0.77/0.84 cnf(49,plain,
% 0.77/0.84 (E(f2(x491,f1(x491)),x491)),
% 0.77/0.84 inference(rename_variables,[],[11])).
% 0.77/0.84 cnf(50,plain,
% 0.77/0.84 (P1(f2(f1(a4),f1(f1(a4))))),
% 0.77/0.84 inference(scs_inference,[],[11,26,27,42,9,8])).
% 0.77/0.84 cnf(51,plain,
% 0.77/0.84 (E(x511,f2(x511,f1(x511)))),
% 0.77/0.84 inference(rename_variables,[],[26])).
% 0.77/0.84 cnf(52,plain,
% 0.77/0.84 (~E(f2(f1(a4),f1(f1(a4))),a5)),
% 0.77/0.84 inference(scs_inference,[],[15,11,26,51,27,42,9,8,3])).
% 0.77/0.84 cnf(54,plain,
% 0.77/0.84 (~E(a5,f1(a4))),
% 0.77/0.84 inference(scs_inference,[],[15,11,26,51,27,42,9,8,3,2])).
% 0.77/0.84 cnf(55,plain,
% 0.77/0.84 (P2(f2(a4,a5),f2(a4,a5))),
% 0.77/0.84 inference(scs_inference,[],[15,11,49,26,51,36,27,42,9,8,3,2,10])).
% 0.77/0.84 cnf(60,plain,
% 0.77/0.84 (E(f2(f2(f3(x601),x601),f1(x601)),x601)),
% 0.77/0.84 inference(scs_inference,[],[11,40,3])).
% 0.77/0.84 cnf(62,plain,
% 0.77/0.84 (E(f2(x621,f2(x622,x623)),f2(f2(x621,x622),x623))),
% 0.77/0.84 inference(scs_inference,[],[11,14,40,3,2])).
% 0.77/0.84 cnf(74,plain,
% 0.77/0.84 (P1(f1(f1(a4)))),
% 0.77/0.84 inference(scs_inference,[],[50,24])).
% 0.77/0.84 cnf(77,plain,
% 0.77/0.84 (E(f2(x771,f1(x771)),x771)),
% 0.77/0.84 inference(rename_variables,[],[11])).
% 0.77/0.84 cnf(79,plain,
% 0.77/0.84 (~E(a5,f1(f2(f3(a4),a4)))),
% 0.77/0.84 inference(scs_inference,[],[11,41,50,54,24,19,3])).
% 0.77/0.84 cnf(81,plain,
% 0.77/0.84 (~E(f2(f3(a5),a5),f1(a4))),
% 0.77/0.84 inference(scs_inference,[],[11,41,34,50,54,24,19,3,2])).
% 0.77/0.84 cnf(86,plain,
% 0.77/0.84 (P1(f2(a4,f1(a4)))),
% 0.77/0.84 inference(scs_inference,[],[11,77,26,41,34,50,54,46,45,24,19,3,2,9,25,8])).
% 0.77/0.84 cnf(88,plain,
% 0.77/0.84 (P2(f2(a4,a5),a4)),
% 0.77/0.84 inference(scs_inference,[],[13,29,19])).
% 0.77/0.84 cnf(90,plain,
% 0.77/0.84 (P2(f2(a4,a5),f2(a4,f1(a4)))),
% 0.77/0.84 inference(scs_inference,[],[26,13,29,19,10])).
% 0.77/0.84 cnf(91,plain,
% 0.77/0.84 (E(x911,f2(x911,f1(x911)))),
% 0.77/0.84 inference(rename_variables,[],[26])).
% 0.77/0.84 cnf(92,plain,
% 0.77/0.84 (~E(f2(a5,f1(a5)),f1(a4))),
% 0.77/0.84 inference(scs_inference,[],[26,91,13,29,54,19,10,3])).
% 0.77/0.84 cnf(93,plain,
% 0.77/0.84 (E(x931,f2(x931,f1(x931)))),
% 0.77/0.84 inference(rename_variables,[],[26])).
% 0.77/0.84 cnf(94,plain,
% 0.77/0.84 (E(x941,f2(f3(x941),x941))),
% 0.77/0.84 inference(scs_inference,[],[12,26,91,13,29,54,19,10,3,2])).
% 0.77/0.84 cnf(97,plain,
% 0.77/0.84 (E(f3(f1(a4)),f1(a4))),
% 0.77/0.84 inference(scs_inference,[],[12,27,26,91,13,86,29,54,19,10,3,2,9,21])).
% 0.77/0.84 cnf(99,plain,
% 0.77/0.84 (~P2(f2(f3(a5),a5),f1(a4))),
% 0.77/0.84 inference(scs_inference,[],[12,27,26,91,13,81,86,29,54,19,10,3,2,9,21,18])).
% 0.77/0.84 cnf(102,plain,
% 0.77/0.84 (E(f3(x1021),f3(f2(x1021,f1(x1021))))),
% 0.77/0.84 inference(scs_inference,[],[12,27,26,91,93,13,81,86,29,54,19,10,3,2,9,21,18,6,7])).
% 0.77/0.84 cnf(103,plain,
% 0.77/0.84 (E(f2(x1031,x1032),f2(f2(x1031,f1(x1031)),x1032))),
% 0.77/0.84 inference(scs_inference,[],[12,27,26,91,93,13,81,86,29,54,19,10,3,2,9,21,18,6,7,5])).
% 0.77/0.84 cnf(104,plain,
% 0.77/0.84 (E(f1(x1041),f1(f2(x1041,f1(x1041))))),
% 0.77/0.84 inference(scs_inference,[],[12,27,26,91,93,13,81,86,29,54,19,10,3,2,9,21,18,6,7,5,4])).
% 0.77/0.84 cnf(106,plain,
% 0.77/0.84 (E(f2(a4,a5),f2(a4,f1(a4)))),
% 0.77/0.84 inference(scs_inference,[],[90,18])).
% 0.77/0.84 cnf(109,plain,
% 0.77/0.84 (E(f2(f3(x1091),x1091),x1091)),
% 0.77/0.84 inference(rename_variables,[],[12])).
% 0.77/0.84 cnf(110,plain,
% 0.77/0.84 (~E(a5,f2(f1(a4),f1(f1(a4))))),
% 0.77/0.84 inference(scs_inference,[],[12,90,52,99,18,10,2])).
% 0.77/0.84 cnf(111,plain,
% 0.77/0.84 (E(f2(f3(x1111),f2(f3(x1111),x1111)),x1111)),
% 0.77/0.84 inference(scs_inference,[],[12,109,39,90,52,99,18,10,2,3])).
% 0.77/0.84 cnf(113,plain,
% 0.77/0.84 (P2(f2(f2(a4,a5),f1(f2(a4,a5))),a4)),
% 0.77/0.84 inference(scs_inference,[],[12,109,26,39,90,52,99,88,18,10,2,3,9])).
% 0.77/0.84 cnf(120,plain,
% 0.77/0.84 (~P2(f2(a5,f1(a5)),f1(a4))),
% 0.77/0.84 inference(scs_inference,[],[92,18])).
% 0.77/0.84 cnf(122,plain,
% 0.77/0.84 (P2(a4,f2(a4,f1(a4)))),
% 0.77/0.84 inference(scs_inference,[],[26,92,46,18,19])).
% 0.77/0.84 cnf(123,plain,
% 0.77/0.84 (E(x1231,f2(x1231,f1(x1231)))),
% 0.77/0.84 inference(rename_variables,[],[26])).
% 0.77/0.84 cnf(125,plain,
% 0.77/0.84 (~P2(f1(a4),f2(f2(f3(a5),a5),f1(a5)))),
% 0.77/0.84 inference(scs_inference,[],[27,26,60,92,46,18,19,10])).
% 0.77/0.84 cnf(127,plain,
% 0.77/0.84 (E(a4,f2(a4,a5))),
% 0.77/0.84 inference(scs_inference,[],[29,27,26,60,92,46,18,19,10,2])).
% 0.77/0.84 cnf(128,plain,
% 0.77/0.84 (E(f2(f2(x1281,x1282),x1283),f2(f2(x1281,f1(x1281)),f2(x1282,x1283)))),
% 0.77/0.84 inference(scs_inference,[],[29,14,27,26,60,103,92,46,18,19,10,2,3])).
% 0.77/0.84 cnf(130,plain,
% 0.77/0.84 (~P2(a5,f1(a4))),
% 0.77/0.84 inference(scs_inference,[],[29,14,27,26,123,60,103,92,46,18,19,10,2,3,9])).
% 0.77/0.84 cnf(135,plain,
% 0.77/0.84 (P2(f2(a4,a5),f2(f3(f2(a4,a5)),f2(a4,a5)))),
% 0.77/0.84 inference(scs_inference,[],[13,94,113,18,19])).
% 0.77/0.84 cnf(138,plain,
% 0.77/0.84 (~E(f1(f2(f3(a4),a4)),a5)),
% 0.77/0.84 inference(scs_inference,[],[13,94,113,79,18,19,2])).
% 0.77/0.84 cnf(139,plain,
% 0.77/0.84 (P2(a4,f2(a4,a5))),
% 0.77/0.84 inference(scs_inference,[],[13,29,94,113,79,55,18,19,2,9])).
% 0.77/0.84 cnf(140,plain,
% 0.77/0.84 (P2(a4,a4)),
% 0.77/0.84 inference(scs_inference,[],[13,29,94,113,79,55,18,19,2,9,10])).
% 0.77/0.84 cnf(141,plain,
% 0.77/0.84 (E(f3(a5),f2(f1(a4),f1(f1(a4))))),
% 0.77/0.84 inference(scs_inference,[],[13,29,26,94,113,79,31,55,18,19,2,9,10,3])).
% 0.77/0.84 cnf(143,plain,
% 0.77/0.84 (~P2(a5,f2(f1(a4),f1(f1(a4))))),
% 0.77/0.84 inference(scs_inference,[],[110,18])).
% 0.77/0.84 cnf(147,plain,
% 0.77/0.84 (~P2(f1(a4),f2(f3(a5),f2(f3(a5),a5)))),
% 0.77/0.84 inference(scs_inference,[],[27,111,125,110,42,18,19,10])).
% 0.77/0.84 cnf(149,plain,
% 0.77/0.84 (E(f1(a4),f3(a5))),
% 0.77/0.84 inference(scs_inference,[],[31,27,111,125,110,42,18,19,10,2])).
% 0.77/0.84 cnf(150,plain,
% 0.77/0.84 (~E(f2(f3(a5),a5),f3(a5))),
% 0.77/0.84 inference(scs_inference,[],[31,27,111,125,110,81,42,18,19,10,2,3])).
% 0.77/0.84 cnf(151,plain,
% 0.77/0.84 (P2(a4,f2(f3(f2(a4,a5)),f2(a4,a5)))),
% 0.77/0.84 inference(scs_inference,[],[31,27,29,111,135,125,110,81,42,18,19,10,2,3,9])).
% 0.77/0.84 cnf(152,plain,
% 0.77/0.84 (E(f3(f3(a5)),f3(f1(a4)))),
% 0.77/0.84 inference(scs_inference,[],[31,27,29,111,135,125,110,81,42,18,19,10,2,3,9,7])).
% 0.77/0.84 cnf(153,plain,
% 0.77/0.84 (E(f2(x1531,f3(a5)),f2(x1531,f1(a4)))),
% 0.77/0.84 inference(scs_inference,[],[31,27,29,111,135,125,110,81,42,18,19,10,2,3,9,7,6])).
% 0.77/0.84 cnf(154,plain,
% 0.77/0.84 (E(f2(f3(a5),x1541),f2(f1(a4),x1541))),
% 0.77/0.84 inference(scs_inference,[],[31,27,29,111,135,125,110,81,42,18,19,10,2,3,9,7,6,5])).
% 0.77/0.84 cnf(155,plain,
% 0.77/0.84 (E(f1(f3(a5)),f1(f1(a4)))),
% 0.77/0.84 inference(scs_inference,[],[31,27,29,111,135,125,110,81,42,18,19,10,2,3,9,7,6,5,4])).
% 0.77/0.84 cnf(156,plain,
% 0.77/0.84 (~P1(f2(f3(a5),a5))),
% 0.77/0.84 inference(scs_inference,[],[31,27,29,111,135,125,110,81,42,18,19,10,2,3,9,7,6,5,4,22])).
% 0.77/0.84 cnf(158,plain,
% 0.77/0.84 (~E(f1(f1(a4)),f2(f3(a5),a5))),
% 0.77/0.84 inference(scs_inference,[],[31,27,29,111,135,74,125,110,81,42,18,19,10,2,3,9,7,6,5,4,22,8])).
% 0.77/0.84 cnf(159,plain,
% 0.77/0.84 (~P1(f3(f2(f3(a5),a5)))),
% 0.77/0.84 inference(scs_inference,[],[156,17])).
% 0.77/0.84 cnf(161,plain,
% 0.77/0.84 (~P1(f1(f2(f3(a5),a5)))),
% 0.77/0.84 inference(scs_inference,[],[156,17,16])).
% 0.77/0.84 cnf(163,plain,
% 0.77/0.84 (~P1(f2(f2(f3(a5),a5),x1631))),
% 0.77/0.84 inference(scs_inference,[],[156,17,16,24])).
% 0.77/0.84 cnf(165,plain,
% 0.77/0.84 (E(a4,f2(f3(f2(a4,a5)),f2(a4,a5)))),
% 0.77/0.84 inference(scs_inference,[],[156,151,17,16,24,18])).
% 0.77/0.84 cnf(168,plain,
% 0.77/0.84 (E(x1681,f2(x1681,f1(x1681)))),
% 0.77/0.84 inference(rename_variables,[],[26])).
% 0.77/0.84 cnf(170,plain,
% 0.77/0.85 (P2(a4,f2(f2(a4,a5),f1(f2(a4,a5))))),
% 0.77/0.85 inference(scs_inference,[],[26,168,156,139,151,42,17,16,24,18,19,10])).
% 0.77/0.85 cnf(172,plain,
% 0.77/0.85 (~E(f2(f3(a5),a5),f1(f1(a4)))),
% 0.77/0.85 inference(scs_inference,[],[26,168,156,158,139,151,42,17,16,24,18,19,10,2])).
% 0.77/0.85 cnf(176,plain,
% 0.77/0.85 (P1(f2(a4,f2(f3(a5),a5)))),
% 0.77/0.85 inference(scs_inference,[],[26,168,31,38,156,158,44,139,151,42,17,16,24,18,19,10,2,3,9,25])).
% 0.77/0.85 cnf(178,plain,
% 0.77/0.85 (~P2(f2(f3(a5),a5),x1781)),
% 0.77/0.85 inference(scs_inference,[],[26,168,31,38,156,158,44,139,151,42,17,16,24,18,19,10,2,3,9,25,20])).
% 0.77/0.85 cnf(180,plain,
% 0.77/0.85 (P1(f1(f2(a4,a5)))),
% 0.77/0.85 inference(scs_inference,[],[33,24])).
% 0.77/0.85 cnf(184,plain,
% 0.77/0.85 (P2(f1(a4),f3(a5))),
% 0.77/0.85 inference(scs_inference,[],[33,149,138,42,24,18,19])).
% 0.77/0.85 cnf(186,plain,
% 0.77/0.85 (~E(f3(a5),a5)),
% 0.77/0.85 inference(scs_inference,[],[33,27,149,138,42,24,18,19,10])).
% 0.77/0.85 cnf(187,plain,
% 0.77/0.85 (E(f3(f2(x1871,f1(x1871))),f3(x1871))),
% 0.77/0.85 inference(scs_inference,[],[33,27,102,149,138,42,24,18,19,10,2])).
% 0.77/0.85 cnf(190,plain,
% 0.77/0.85 (P2(f2(a4,f1(a4)),f2(f3(f2(a4,a5)),f2(a4,a5)))),
% 0.77/0.85 inference(scs_inference,[],[33,27,102,106,149,138,135,42,24,18,19,10,2,3,9])).
% 0.77/0.85 cnf(193,plain,
% 0.77/0.85 (E(f2(a4,f1(a4)),f2(f3(f2(a4,a5)),f2(a4,a5)))),
% 0.77/0.85 inference(scs_inference,[],[190,18])).
% 0.77/0.85 cnf(198,plain,
% 0.77/0.85 (~E(a5,f3(a5))),
% 0.77/0.85 inference(scs_inference,[],[31,186,190,147,120,42,18,19,10,2])).
% 0.77/0.85 cnf(201,plain,
% 0.77/0.85 (~E(f2(a4,f1(a4)),f2(f3(a5),a5))),
% 0.77/0.85 inference(scs_inference,[],[31,186,178,190,147,120,60,42,18,19,10,2,3,9])).
% 0.77/0.85 cnf(205,plain,
% 0.77/0.85 (~P1(f2(f3(a5),f2(a5,x2051)))),
% 0.77/0.85 inference(scs_inference,[],[31,62,186,178,190,180,147,120,163,60,42,18,19,10,2,3,9,25,8])).
% 0.77/0.85 cnf(211,plain,
% 0.77/0.85 (P2(f1(a4),f1(f2(a4,f1(a4))))),
% 0.77/0.85 inference(scs_inference,[],[104,42,19])).
% 0.77/0.85 cnf(212,plain,
% 0.77/0.85 (E(f1(x2121),f1(f2(x2121,f1(x2121))))),
% 0.77/0.85 inference(rename_variables,[],[104])).
% 0.77/0.85 cnf(214,plain,
% 0.77/0.85 (~P2(f2(a4,f1(a4)),f2(f3(a5),a5))),
% 0.77/0.85 inference(scs_inference,[],[104,201,42,19,18])).
% 0.77/0.85 cnf(217,plain,
% 0.77/0.85 (E(f1(f2(x2171,f1(x2171))),f1(x2171))),
% 0.77/0.85 inference(scs_inference,[],[31,104,212,201,184,42,19,18,10,2])).
% 0.77/0.85 cnf(218,plain,
% 0.77/0.85 (E(f3(f2(a5,f1(a5))),f1(a4))),
% 0.77/0.85 inference(scs_inference,[],[31,104,212,187,201,184,42,19,18,10,2,3])).
% 0.77/0.85 cnf(224,plain,
% 0.77/0.85 (E(f3(f2(a4,a5)),f3(a4))),
% 0.77/0.85 inference(scs_inference,[],[29,31,104,212,187,201,154,48,184,42,19,18,10,2,3,9,25,7])).
% 0.77/0.85 cnf(225,plain,
% 0.77/0.85 (E(f2(x2251,f2(a4,a5)),f2(x2251,a4))),
% 0.77/0.85 inference(scs_inference,[],[29,31,104,212,187,201,154,48,184,42,19,18,10,2,3,9,25,7,6])).
% 0.77/0.85 cnf(226,plain,
% 0.77/0.85 (E(f2(f2(a4,a5),x2261),f2(a4,x2261))),
% 0.77/0.85 inference(scs_inference,[],[29,31,104,212,187,201,154,48,184,42,19,18,10,2,3,9,25,7,6,5])).
% 0.77/0.85 cnf(227,plain,
% 0.77/0.85 (E(f1(f2(a4,a5)),f1(a4))),
% 0.77/0.85 inference(scs_inference,[],[29,31,104,212,187,201,154,48,184,42,19,18,10,2,3,9,25,7,6,5,4])).
% 0.77/0.85 cnf(228,plain,
% 0.77/0.85 (E(a4,f2(f2(a4,a5),f1(f2(a4,a5))))),
% 0.77/0.85 inference(scs_inference,[],[170,18])).
% 0.77/0.85 cnf(235,plain,
% 0.77/0.85 (~E(f2(f3(f2(a4,a5)),f2(a4,a5)),f2(f3(a5),a5))),
% 0.77/0.85 inference(scs_inference,[],[27,193,159,227,150,211,170,201,180,46,18,19,8,10,2,3])).
% 0.77/0.85 cnf(238,plain,
% 0.77/0.85 (~P1(f3(f2(f3(a5),f2(a5,x2381))))),
% 0.77/0.85 inference(scs_inference,[],[27,217,193,159,227,205,150,211,170,201,180,46,18,19,8,10,2,3,9,17])).
% 0.77/0.85 cnf(240,plain,
% 0.77/0.85 (~P1(f1(f2(f3(a5),f2(a5,x2401))))),
% 0.77/0.85 inference(scs_inference,[],[27,217,193,159,227,205,150,211,170,201,180,46,18,19,8,10,2,3,9,17,16])).
% 0.77/0.85 cnf(242,plain,
% 0.77/0.85 (~P2(f3(f2(f3(a5),a5)),x2421)),
% 0.77/0.85 inference(scs_inference,[],[27,217,193,159,227,205,150,211,170,201,180,46,18,19,8,10,2,3,9,17,16,20])).
% 0.77/0.85 cnf(250,plain,
% 0.77/0.85 (~P2(a5,f3(a5))),
% 0.77/0.85 inference(scs_inference,[],[235,240,141,143,24,18,10])).
% 0.77/0.85 cnf(253,plain,
% 0.77/0.85 (~E(f2(a4,a5),f3(f2(f3(a5),a5)))),
% 0.77/0.85 inference(scs_inference,[],[36,128,235,242,240,141,172,155,143,24,18,10,2,3,9])).
% 0.77/0.85 cnf(257,plain,
% 0.77/0.85 (P2(f1(a4),f2(f3(f1(a4)),f1(a4)))),
% 0.77/0.85 inference(scs_inference,[],[94,42,19])).
% 0.77/0.85 cnf(261,plain,
% 0.77/0.85 (~E(f3(f2(f3(a5),a5)),f2(a4,a5))),
% 0.77/0.85 inference(scs_inference,[],[97,253,130,94,42,19,10,2])).
% 0.77/0.85 cnf(262,plain,
% 0.77/0.85 (E(f3(f3(a5)),f1(a4))),
% 0.77/0.85 inference(scs_inference,[],[97,253,152,130,94,42,19,10,2,3])).
% 0.77/0.85 cnf(263,plain,
% 0.77/0.85 (~P2(f2(a4,f3(a5)),f2(f3(a5),a5))),
% 0.77/0.85 inference(scs_inference,[],[214,97,253,153,152,130,94,42,19,10,2,3,9])).
% 0.77/0.85 cnf(269,plain,
% 0.77/0.85 (~E(f2(f3(f1(a4)),f1(a4)),f2(f3(a5),a5))),
% 0.77/0.85 inference(scs_inference,[],[257,176,39,44,19,10])).
% 0.77/0.85 cnf(270,plain,
% 0.77/0.85 (E(f3(x2701),f3(f2(f3(x2701),x2701)))),
% 0.77/0.85 inference(scs_inference,[],[38,257,176,39,44,19,10,2])).
% 0.77/0.85 cnf(271,plain,
% 0.77/0.85 (~E(f3(a5),f2(a4,a5))),
% 0.77/0.85 inference(scs_inference,[],[38,261,257,176,39,44,19,10,2,3])).
% 0.77/0.85 cnf(273,plain,
% 0.77/0.85 (P2(f2(f3(f2(a4,a5)),f2(a4,a5)),a4)),
% 0.77/0.85 inference(scs_inference,[],[38,261,165,257,176,140,39,44,19,10,2,3,9])).
% 0.77/0.85 cnf(278,plain,
% 0.77/0.85 (E(f2(a4,x2781),f2(f2(a4,a5),x2781))),
% 0.77/0.85 inference(scs_inference,[],[38,127,261,165,257,176,140,39,44,19,10,2,3,9,20,7,6,5])).
% 0.77/0.85 cnf(279,plain,
% 0.77/0.85 (E(f1(a4),f1(f2(a4,a5)))),
% 0.77/0.85 inference(scs_inference,[],[38,127,261,165,257,176,140,39,44,19,10,2,3,9,20,7,6,5,4])).
% 0.77/0.85 cnf(282,plain,
% 0.77/0.85 (E(f2(f3(f2(a4,a5)),f2(a4,a5)),a4)),
% 0.77/0.85 inference(scs_inference,[],[38,127,261,165,257,176,140,39,44,19,10,2,3,9,20,7,6,5,4,24,18])).
% 0.77/0.85 cnf(288,plain,
% 0.77/0.85 (P1(f3(f2(a4,a5)))),
% 0.77/0.85 inference(scs_inference,[],[38,33,127,261,165,226,257,176,140,39,44,19,10,2,3,9,20,7,6,5,4,24,18,8,21,16])).
% 0.77/0.85 cnf(294,plain,
% 0.77/0.85 (P1(f2(a4,f3(a5)))),
% 0.77/0.85 inference(scs_inference,[],[238,262,42,20,25])).
% 0.77/0.85 cnf(298,plain,
% 0.77/0.85 (~E(f2(a4,f3(a5)),f2(f3(a5),a5))),
% 0.77/0.85 inference(scs_inference,[],[269,263,238,262,42,20,25,18,19])).
% 0.77/0.85 cnf(301,plain,
% 0.77/0.85 (E(f3(f2(f3(x3011),x3011)),f3(x3011))),
% 0.77/0.85 inference(rename_variables,[],[38])).
% 0.77/0.85 cnf(305,plain,
% 0.77/0.85 (~E(f2(a4,a5),f2(f3(a5),a5))),
% 0.77/0.85 inference(scs_inference,[],[36,38,301,269,263,238,262,198,250,178,42,20,25,18,19,10,2,3,9])).
% 0.77/0.85 cnf(307,plain,
% 0.77/0.85 (~E(a4,f3(a5))),
% 0.77/0.85 inference(scs_inference,[],[305,5])).
% 0.77/0.85 cnf(308,plain,
% 0.77/0.85 (P2(f2(a4,f3(a5)),f2(f2(a4,a5),f3(a5)))),
% 0.77/0.85 inference(scs_inference,[],[305,294,278,5,19])).
% 0.77/0.85 cnf(312,plain,
% 0.77/0.85 (P2(f1(a4),f3(f2(f3(a5),a5)))),
% 0.77/0.85 inference(scs_inference,[],[270,305,294,278,161,184,46,5,19,8,10])).
% 0.77/0.85 cnf(320,plain,
% 0.77/0.85 (E(f1(a4),f3(f2(f3(a5),a5)))),
% 0.77/0.85 inference(scs_inference,[],[39,270,305,294,278,161,111,226,130,184,46,5,19,8,10,2,3,9,18])).
% 0.77/0.85 cnf(324,plain,
% 0.77/0.85 (E(f2(f1(a4),x3241),f2(f3(a5),x3241))),
% 0.77/0.85 inference(scs_inference,[],[149,240,20,5])).
% 0.77/0.85 cnf(327,plain,
% 0.77/0.85 (~P2(f3(a5),f2(a4,a5))),
% 0.77/0.85 inference(scs_inference,[],[288,271,224,149,240,20,5,19,18])).
% 0.77/0.85 cnf(334,plain,
% 0.77/0.85 (P2(f2(f3(f2(a4,a5)),a4),a4)),
% 0.77/0.85 inference(scs_inference,[],[39,298,308,225,288,282,271,224,273,235,149,263,240,156,20,5,19,18,8,10,2,3,9])).
% 0.77/0.85 cnf(343,plain,
% 0.77/0.85 (E(f2(f2(f3(x3431),x3431),x3432),f2(x3431,x3432))),
% 0.77/0.85 inference(rename_variables,[],[40])).
% 0.77/0.85 cnf(344,plain,
% 0.77/0.85 (E(f2(x3441,x3442),f2(f2(f3(x3441),x3441),x3442))),
% 0.77/0.85 inference(scs_inference,[],[40,343,324,327,334,50,20,18,8,10,2])).
% 0.77/0.85 cnf(384,plain,
% 0.77/0.85 ($false),
% 0.77/0.85 inference(scs_inference,[],[40,344,228,307,218,320,312,279,122,242,205,42,19,8,10,2,3,9]),
% 0.77/0.85 ['proof']).
% 0.77/0.85 % SZS output end Proof
% 0.77/0.85 % Total time :0.220000s
%------------------------------------------------------------------------------