TSTP Solution File: CAT006-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT006-4 : 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 : n003.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 0.20s 0.77s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT006-4 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 00:23:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.20/0.77 %-------------------------------------------
% 0.20/0.77 % File :CSE---1.6
% 0.20/0.77 % Problem :theBenchmark
% 0.20/0.77 % Transform :cnf
% 0.20/0.77 % Format :tptp:raw
% 0.20/0.77 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.77
% 0.20/0.77 % Result :Theorem 0.130000s
% 0.20/0.77 % Output :CNFRefutation 0.130000s
% 0.20/0.77 %-------------------------------------------
% 0.20/0.77 %--------------------------------------------------------------------------
% 0.20/0.77 % File : CAT006-4 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.77 % Domain : Category Theory
% 0.20/0.77 % Problem : Codomain is the unique left identity
% 0.20/0.77 % Version : [Sco79] axioms : Reduced > Complete.
% 0.20/0.77 % English : codomain(x) is the unique identity j such that jx is defined.
% 0.20/0.77
% 0.20/0.77 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.20/0.77 % Source : [TPTP]
% 0.20/0.77 % Names :
% 0.20/0.77
% 0.20/0.77 % Status : Unsatisfiable
% 0.20/0.77 % 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
% 0.20/0.77 % Syntax : Number of clauses : 15 ( 5 unt; 0 nHn; 12 RR)
% 0.20/0.77 % Number of literals : 27 ( 10 equ; 13 neg)
% 0.20/0.77 % Maximal clause size : 3 ( 1 avg)
% 0.20/0.77 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.77 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.20/0.77 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.20/0.77 % Number of variables : 21 ( 2 sgn)
% 0.20/0.77 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.20/0.77
% 0.20/0.77 % Comments : The dependent axioms have been removed.
% 0.20/0.77 %--------------------------------------------------------------------------
% 0.20/0.77 %----Include Scott's axioms for category theory
% 0.20/0.77 include('Axioms/CAT004-0.ax').
% 0.20/0.77 %--------------------------------------------------------------------------
% 0.20/0.77 %----Denial of theorem: d is an identity which is not cod(a),
% 0.20/0.77 cnf(da_exists,hypothesis,
% 0.20/0.77 there_exists(compose(d,a)) ).
% 0.20/0.77
% 0.20/0.77 cnf(xd_equals_x,hypothesis,
% 0.20/0.77 ( ~ there_exists(compose(X,d))
% 0.20/0.77 | compose(X,d) = X ) ).
% 0.20/0.77
% 0.20/0.77 cnf(dx_equals_x,hypothesis,
% 0.20/0.77 ( ~ there_exists(compose(d,X))
% 0.20/0.77 | compose(d,X) = X ) ).
% 0.20/0.77
% 0.20/0.77 cnf(prove_codomain_of_a_is_d,negated_conjecture,
% 0.20/0.77 codomain(a) != d ).
% 0.20/0.77
% 0.20/0.77 %--------------------------------------------------------------------------
% 0.20/0.77 %-------------------------------------------
% 0.20/0.77 % Proof found
% 0.20/0.77 % SZS status Theorem for theBenchmark
% 0.20/0.77 % SZS output start Proof
% 0.20/0.77 %ClaNum:25(EqnAxiom:10)
% 0.20/0.77 %VarNum:46(SingletonVarNum:21)
% 0.20/0.77 %MaxLitNum:3
% 0.20/0.77 %MaxfuncDepth:2
% 0.20/0.77 %SharedTerms:6
% 0.20/0.78 %goalClause: 15
% 0.20/0.78 %singleGoalClaCount:1
% 0.20/0.78 [13]P1(f2(a5,a4))
% 0.20/0.78 [15]~E(f3(a4),a5)
% 0.20/0.78 [11]E(f2(x111,f1(x111)),x111)
% 0.20/0.78 [12]E(f2(f3(x121),x121),x121)
% 0.20/0.78 [14]E(f2(f2(x141,x142),x143),f2(x141,f2(x142,x143)))
% 0.20/0.78 [16]P1(x161)+~P1(f1(x161))
% 0.20/0.78 [17]P1(x171)+~P1(f3(x171))
% 0.20/0.78 [22]E(f2(x221,a5),x221)+~P1(f2(x221,a5))
% 0.20/0.78 [23]E(f2(a5,x231),x231)+~P1(f2(a5,x231))
% 0.20/0.78 [18]~P2(x181,x182)+E(x181,x182)
% 0.20/0.78 [20]P1(x201)+~P2(x201,x202)
% 0.20/0.78 [21]E(f3(x211),f1(x212))+~P1(f2(x212,x211))
% 0.20/0.78 [24]P1(f1(x241))+~P1(f2(x241,x242))
% 0.20/0.78 [19]~E(x191,x192)+~P1(x191)+P2(x191,x192)
% 0.20/0.78 [25]~E(f3(x252),f1(x251))+~P1(f1(x251))+P1(f2(x251,x252))
% 0.20/0.78 %EqnAxiom
% 0.20/0.78 [1]E(x11,x11)
% 0.20/0.78 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.78 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.78 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.20/0.78 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 0.20/0.78 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 0.20/0.78 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 0.20/0.78 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.20/0.78 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 0.20/0.78 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 0.20/0.78
% 0.20/0.78 %-------------------------------------------
% 0.20/0.78 cnf(26,plain,
% 0.20/0.78 (E(x261,f2(x261,f1(x261)))),
% 0.20/0.78 inference(scs_inference,[],[11,2])).
% 0.20/0.78 cnf(27,plain,
% 0.20/0.78 (~P2(f3(a4),a5)),
% 0.20/0.78 inference(scs_inference,[],[15,11,2,18])).
% 0.20/0.78 cnf(29,plain,
% 0.20/0.78 (E(f2(a5,a4),a4)),
% 0.20/0.78 inference(scs_inference,[],[15,13,11,2,18,23])).
% 0.20/0.78 cnf(31,plain,
% 0.20/0.78 (E(f3(a4),f1(a5))),
% 0.20/0.78 inference(scs_inference,[],[15,13,11,2,18,23,21])).
% 0.20/0.78 cnf(33,plain,
% 0.20/0.78 (P1(f2(f2(a5,a4),f1(f2(a5,a4))))),
% 0.20/0.78 inference(scs_inference,[],[15,13,11,2,18,23,21,8])).
% 0.20/0.78 cnf(34,plain,
% 0.20/0.78 (~E(f3(a4),f2(f3(a5),a5))),
% 0.20/0.78 inference(scs_inference,[],[15,13,11,12,2,18,23,21,8,3])).
% 0.20/0.78 cnf(35,plain,
% 0.20/0.78 (E(f2(f3(x351),x351),x351)),
% 0.20/0.78 inference(rename_variables,[],[12])).
% 0.20/0.78 cnf(36,plain,
% 0.20/0.78 (P2(f2(a5,a4),f2(f2(a5,a4),f1(f2(a5,a4))))),
% 0.20/0.78 inference(scs_inference,[],[15,13,11,12,2,18,23,21,8,3,19])).
% 0.20/0.78 cnf(38,plain,
% 0.20/0.78 (E(f3(f2(f3(x381),x381)),f3(x381))),
% 0.20/0.78 inference(scs_inference,[],[15,13,11,12,35,2,18,23,21,8,3,19,7])).
% 0.20/0.78 cnf(39,plain,
% 0.20/0.78 (E(f2(x391,f2(f3(x392),x392)),f2(x391,x392))),
% 0.20/0.78 inference(scs_inference,[],[15,13,11,12,35,2,18,23,21,8,3,19,7,6])).
% 0.20/0.78 cnf(40,plain,
% 0.20/0.78 (E(f2(f2(f3(x401),x401),x402),f2(x401,x402))),
% 0.20/0.78 inference(scs_inference,[],[15,13,11,12,35,2,18,23,21,8,3,19,7,6,5])).
% 0.20/0.78 cnf(41,plain,
% 0.20/0.78 (E(f1(f2(f3(x411),x411)),f1(x411))),
% 0.20/0.78 inference(scs_inference,[],[15,13,11,12,35,2,18,23,21,8,3,19,7,6,5,4])).
% 0.20/0.78 cnf(42,plain,
% 0.20/0.78 (P1(f1(a5))),
% 0.20/0.78 inference(scs_inference,[],[15,13,11,12,35,2,18,23,21,8,3,19,7,6,5,4,24])).
% 0.20/0.78 cnf(45,plain,
% 0.20/0.78 (~P2(x451,a5)+~E(x451,f3(a4))),
% 0.20/0.78 inference(scs_inference,[],[15,13,11,12,35,2,18,23,21,8,3,19,7,6,5,4,24,10,9])).
% 0.20/0.78 cnf(46,plain,
% 0.20/0.78 (P1(a5)),
% 0.20/0.78 inference(scs_inference,[],[15,13,11,12,35,2,18,23,21,8,3,19,7,6,5,4,24,10,9,16])).
% 0.20/0.78 cnf(50,plain,
% 0.20/0.78 (E(f2(x501,f1(x501)),x501)),
% 0.20/0.78 inference(rename_variables,[],[11])).
% 0.20/0.78 cnf(51,plain,
% 0.20/0.78 (P1(f2(f1(a5),f1(f1(a5))))),
% 0.20/0.78 inference(scs_inference,[],[11,26,27,42,9,8])).
% 0.20/0.78 cnf(52,plain,
% 0.20/0.78 (E(x521,f2(x521,f1(x521)))),
% 0.20/0.78 inference(rename_variables,[],[26])).
% 0.20/0.78 cnf(53,plain,
% 0.20/0.78 (~E(a5,f3(a4))),
% 0.20/0.78 inference(scs_inference,[],[15,11,26,27,42,9,8,2])).
% 0.20/0.78 cnf(56,plain,
% 0.20/0.78 (~E(f2(f3(a4),f1(f3(a4))),a5)),
% 0.20/0.78 inference(scs_inference,[],[15,11,50,26,52,27,36,42,9,8,2,10,3])).
% 0.20/0.78 cnf(58,plain,
% 0.20/0.78 (~P2(f2(f3(f3(a4)),f3(a4)),a5)),
% 0.20/0.78 inference(scs_inference,[],[15,11,50,12,26,52,27,36,42,9,8,2,10,3,45])).
% 0.20/0.78 cnf(63,plain,
% 0.20/0.78 (E(f2(x631,f2(x632,x633)),f2(f2(x631,x632),x633))),
% 0.20/0.78 inference(scs_inference,[],[14,2])).
% 0.20/0.78 cnf(64,plain,
% 0.20/0.78 (E(f2(f2(f3(x641),x641),f1(x641)),x641)),
% 0.20/0.78 inference(scs_inference,[],[11,14,40,2,3])).
% 0.20/0.78 cnf(74,plain,
% 0.20/0.78 (~E(a5,f3(f2(f3(a4),a4)))),
% 0.20/0.78 inference(scs_inference,[],[11,38,51,53,19,3])).
% 0.20/0.78 cnf(76,plain,
% 0.20/0.78 (~E(f2(f3(a5),a5),f3(a4))),
% 0.20/0.78 inference(scs_inference,[],[11,38,51,34,53,19,3,2])).
% 0.20/0.78 cnf(82,plain,
% 0.20/0.78 (~P2(f1(f2(f3(x821),x821)),a5)+~E(f1(x821),f3(a4))),
% 0.20/0.78 inference(scs_inference,[],[11,38,41,51,34,53,19,3,2,9,20,18,45])).
% 0.20/0.78 cnf(89,plain,
% 0.20/0.78 (P2(f2(a5,a4),a4)),
% 0.20/0.78 inference(scs_inference,[],[13,76,29,38,18,45,19])).
% 0.20/0.78 cnf(92,plain,
% 0.20/0.78 (E(f2(f3(x921),x921),x921)),
% 0.20/0.78 inference(rename_variables,[],[12])).
% 0.20/0.78 cnf(93,plain,
% 0.20/0.78 (E(x931,f2(f3(x931),x931))),
% 0.20/0.78 inference(scs_inference,[],[12,92,13,76,29,38,58,18,45,19,10,2])).
% 0.20/0.78 cnf(94,plain,
% 0.20/0.78 (~E(f2(a5,f1(a5)),f3(a4))),
% 0.20/0.78 inference(scs_inference,[],[12,92,26,13,76,29,38,58,53,18,45,19,10,2,3])).
% 0.20/0.78 cnf(95,plain,
% 0.20/0.78 (E(x951,f2(x951,f1(x951)))),
% 0.20/0.78 inference(rename_variables,[],[26])).
% 0.20/0.78 cnf(96,plain,
% 0.20/0.78 (P1(f1(f2(a5,a4)))),
% 0.20/0.78 inference(scs_inference,[],[12,92,26,13,76,29,38,33,58,53,18,45,19,10,2,3,24])).
% 0.20/0.78 cnf(98,plain,
% 0.20/0.78 (E(f3(x981),f3(f2(x981,f1(x981))))),
% 0.20/0.78 inference(scs_inference,[],[12,92,26,95,13,76,29,38,33,58,53,18,45,19,10,2,3,24,7])).
% 0.20/0.78 cnf(99,plain,
% 0.20/0.78 (E(f2(x991,x992),f2(x991,f2(x992,f1(x992))))),
% 0.20/0.78 inference(scs_inference,[],[12,92,26,95,13,76,29,38,33,58,53,18,45,19,10,2,3,24,7,6])).
% 0.20/0.78 cnf(100,plain,
% 0.20/0.78 (E(f2(x1001,x1002),f2(f2(x1001,f1(x1001)),x1002))),
% 0.20/0.78 inference(scs_inference,[],[12,92,26,95,13,76,29,38,33,58,53,18,45,19,10,2,3,24,7,6,5])).
% 0.20/0.78 cnf(102,plain,
% 0.20/0.78 (P2(f2(f2(a5,a4),f1(f2(a5,a4))),a4)),
% 0.20/0.78 inference(scs_inference,[],[12,92,26,95,13,76,29,38,33,58,53,18,45,19,10,2,3,24,7,6,5,4,9])).
% 0.20/0.78 cnf(106,plain,
% 0.20/0.78 (~P2(f3(a4),f2(f2(f3(a5),a5),f1(a5)))),
% 0.20/0.78 inference(scs_inference,[],[27,64,102,18,10])).
% 0.20/0.78 cnf(109,plain,
% 0.20/0.78 (E(f2(f3(x1091),f2(f3(x1091),x1091)),x1091)),
% 0.20/0.78 inference(scs_inference,[],[12,27,64,39,102,56,18,10,2,3])).
% 0.20/0.78 cnf(113,plain,
% 0.20/0.78 (P1(f2(f3(f2(a5,a4)),f2(a5,a4)))),
% 0.20/0.78 inference(scs_inference,[],[12,27,13,64,93,39,96,102,56,18,10,2,3,25,8])).
% 0.20/0.78 cnf(120,plain,
% 0.20/0.78 (E(x1201,f2(x1201,f1(x1201)))),
% 0.20/0.78 inference(rename_variables,[],[26])).
% 0.20/0.78 cnf(122,plain,
% 0.20/0.78 (P1(a4)),
% 0.20/0.78 inference(scs_inference,[],[13,29,26,46,19,8])).
% 0.20/0.78 cnf(123,plain,
% 0.20/0.78 (~P2(f2(a5,f1(a5)),f3(a4))),
% 0.20/0.78 inference(scs_inference,[],[13,29,26,94,46,19,8,18])).
% 0.20/0.78 cnf(126,plain,
% 0.20/0.78 (E(x1261,f2(x1261,f1(x1261)))),
% 0.20/0.78 inference(rename_variables,[],[26])).
% 0.20/0.78 cnf(127,plain,
% 0.20/0.78 (E(a4,f2(a5,a4))),
% 0.20/0.78 inference(scs_inference,[],[13,29,26,120,94,46,19,8,18,9,2])).
% 0.20/0.78 cnf(128,plain,
% 0.20/0.78 (P2(f2(a5,a4),f2(a4,f1(a4)))),
% 0.20/0.78 inference(scs_inference,[],[13,29,26,120,126,94,46,89,19,8,18,9,2,10])).
% 0.20/0.78 cnf(130,plain,
% 0.20/0.78 (E(f2(f2(x1301,x1302),x1303),f2(f2(x1301,f1(x1301)),f2(x1302,x1303)))),
% 0.20/0.78 inference(scs_inference,[],[13,29,14,26,120,126,100,94,46,89,19,8,18,9,2,10,3])).
% 0.20/0.78 cnf(132,plain,
% 0.20/0.78 (P2(f2(a5,a4),f2(a5,f2(a4,f1(a4))))),
% 0.20/0.79 inference(scs_inference,[],[13,99,19])).
% 0.20/0.79 cnf(135,plain,
% 0.20/0.79 (E(f2(a5,a4),f2(a4,f1(a4)))),
% 0.20/0.79 inference(scs_inference,[],[13,99,128,19,18])).
% 0.20/0.79 cnf(141,plain,
% 0.20/0.79 (~E(f1(a5),f2(f3(a5),a5))),
% 0.20/0.79 inference(scs_inference,[],[13,27,29,109,99,128,74,31,34,19,18,9,2,10,3])).
% 0.20/0.79 cnf(144,plain,
% 0.20/0.79 (P2(a4,f2(a5,f2(a4,f1(a4))))),
% 0.20/0.79 inference(scs_inference,[],[29,141,132,18,9])).
% 0.20/0.79 cnf(145,plain,
% 0.20/0.79 (E(f1(a5),f3(a4))),
% 0.20/0.79 inference(scs_inference,[],[31,29,141,132,18,9,2])).
% 0.20/0.79 cnf(146,plain,
% 0.20/0.79 (P2(f2(a5,a4),f2(f2(a5,a4),f1(a4)))),
% 0.20/0.79 inference(scs_inference,[],[31,29,63,141,132,18,9,2,10])).
% 0.20/0.79 cnf(148,plain,
% 0.20/0.79 (~E(f3(a4),f2(f2(f3(a5),a5),f1(a5)))),
% 0.20/0.79 inference(scs_inference,[],[31,29,63,141,132,64,15,18,9,2,10,3])).
% 0.20/0.79 cnf(151,plain,
% 0.20/0.79 (P1(f1(f3(f2(a5,a4))))),
% 0.20/0.79 inference(scs_inference,[],[31,29,63,113,141,132,64,15,18,9,2,10,3,82,24])).
% 0.20/0.79 cnf(154,plain,
% 0.20/0.79 (E(f2(x1541,f3(a4)),f2(x1541,f1(a5)))),
% 0.20/0.79 inference(scs_inference,[],[31,29,63,113,141,132,64,15,18,9,2,10,3,82,24,7,6])).
% 0.20/0.79 cnf(164,plain,
% 0.20/0.79 (P1(f3(f2(a5,a4)))),
% 0.20/0.79 inference(scs_inference,[],[151,16])).
% 0.20/0.79 cnf(166,plain,
% 0.20/0.79 (P2(f1(a5),f2(f1(a5),f1(f1(a5))))),
% 0.20/0.79 inference(scs_inference,[],[26,151,42,16,19])).
% 0.20/0.79 cnf(171,plain,
% 0.20/0.79 (~P2(f1(a5),a5)),
% 0.20/0.79 inference(scs_inference,[],[27,26,146,151,145,42,16,19,18,9])).
% 0.20/0.79 cnf(172,plain,
% 0.20/0.79 (~E(f2(f2(f3(a5),a5),f1(a5)),f3(a4))),
% 0.20/0.79 inference(scs_inference,[],[27,26,146,151,148,145,42,16,19,18,9,2])).
% 0.20/0.79 cnf(179,plain,
% 0.20/0.79 (P2(a4,f2(a5,a4))),
% 0.20/0.79 inference(scs_inference,[],[172,127,122,18,19])).
% 0.20/0.79 cnf(182,plain,
% 0.20/0.79 (E(f3(f2(x1821,f1(x1821))),f3(x1821))),
% 0.20/0.79 inference(scs_inference,[],[98,171,172,166,127,122,18,19,10,2])).
% 0.20/0.79 cnf(183,plain,
% 0.20/0.79 (P2(a4,f2(f2(a5,a4),f1(a4)))),
% 0.20/0.79 inference(scs_inference,[],[29,98,171,172,166,127,122,146,18,19,10,2,9])).
% 0.20/0.79 cnf(184,plain,
% 0.20/0.79 (~E(f1(a5),f2(f2(f3(a5),a5),f1(a5)))),
% 0.20/0.79 inference(scs_inference,[],[29,31,98,171,172,166,127,122,148,146,18,19,10,2,9,3])).
% 0.20/0.79 cnf(185,plain,
% 0.20/0.79 (P1(f2(a4,f1(a4)))),
% 0.20/0.79 inference(scs_inference,[],[29,31,98,135,171,172,166,127,122,148,146,13,18,19,10,2,9,3,8])).
% 0.20/0.79 cnf(188,plain,
% 0.20/0.79 (P1(f2(a5,f1(a5)))),
% 0.20/0.79 inference(scs_inference,[],[26,46,8])).
% 0.20/0.79 cnf(189,plain,
% 0.20/0.79 (E(x1891,f2(x1891,f1(x1891)))),
% 0.20/0.79 inference(rename_variables,[],[26])).
% 0.20/0.79 cnf(195,plain,
% 0.20/0.79 (E(f2(x1951,f3(a4)),f2(x1951,f1(a5)))),
% 0.20/0.79 inference(rename_variables,[],[154])).
% 0.20/0.79 cnf(196,plain,
% 0.20/0.79 (P2(f2(a4,f1(a4)),f2(a5,a4))),
% 0.20/0.79 inference(scs_inference,[],[26,189,154,106,179,183,171,46,42,8,18,19,10,9])).
% 0.20/0.79 cnf(198,plain,
% 0.20/0.79 (~E(f2(f2(f3(a5),a5),f1(a5)),f1(a5))),
% 0.20/0.79 inference(scs_inference,[],[26,189,154,184,106,179,183,171,46,42,8,18,19,10,9,2])).
% 0.20/0.79 cnf(201,plain,
% 0.20/0.79 (E(f2(a5,f1(a5)),f1(a5))),
% 0.20/0.79 inference(scs_inference,[],[26,189,154,195,184,106,179,183,171,46,42,8,18,19,10,9,2,3,23])).
% 0.20/0.79 cnf(205,plain,
% 0.20/0.79 (P2(f2(a5,f1(a5)),f1(a5))),
% 0.20/0.79 inference(scs_inference,[],[188,201,19])).
% 0.20/0.79 cnf(210,plain,
% 0.20/0.79 (E(f3(f2(x2101,f1(x2101))),f3(x2101))),
% 0.20/0.79 inference(rename_variables,[],[182])).
% 0.20/0.79 cnf(217,plain,
% 0.20/0.79 (E(f3(f2(a5,a4)),f3(a4))),
% 0.20/0.79 inference(scs_inference,[],[27,29,31,182,210,130,188,196,185,201,198,19,18,9,10,2,3,24,7])).
% 0.20/0.79 cnf(227,plain,
% 0.20/0.79 ($false),
% 0.20/0.79 inference(scs_inference,[],[29,164,205,217,123,144,145,89,19,18,9,10]),
% 0.20/0.79 ['proof']).
% 0.20/0.79 % SZS output end Proof
% 0.20/0.79 % Total time :0.130000s
%------------------------------------------------------------------------------