TSTP Solution File: CAT018-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT018-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n021.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 18:13:48 EDT 2023
% Result : Unsatisfiable 0.67s 0.80s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT018-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 00:11:27 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.80 %-------------------------------------------
% 0.21/0.80 % File :CSE---1.6
% 0.21/0.80 % Problem :theBenchmark
% 0.21/0.80 % Transform :cnf
% 0.21/0.80 % Format :tptp:raw
% 0.21/0.80 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.80
% 0.21/0.80 % Result :Theorem 0.180000s
% 0.21/0.80 % Output :CNFRefutation 0.180000s
% 0.21/0.80 %-------------------------------------------
% 0.67/0.80 %--------------------------------------------------------------------------
% 0.67/0.80 % File : CAT018-1 : TPTP v8.1.2. Released v1.0.0.
% 0.67/0.80 % Domain : Category Theory
% 0.67/0.80 % Problem : If xy and yz exist, then so does x(yz)
% 0.67/0.80 % Version : [Mit67] axioms.
% 0.67/0.80 % English :
% 0.67/0.80
% 0.67/0.80 % Refs : [Mit67] Mitchell (1967), Theory of Categories
% 0.67/0.80 % Source : [ANL]
% 0.67/0.80 % Names : p18.ver1.in [ANL]
% 0.67/0.80
% 0.67/0.80 % Status : Unsatisfiable
% 0.67/0.80 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.14 v2.1.0, 0.20 v2.0.0
% 0.67/0.80 % Syntax : Number of clauses : 21 ( 9 unt; 0 nHn; 15 RR)
% 0.67/0.80 % Number of literals : 48 ( 1 equ; 28 neg)
% 0.67/0.80 % Maximal clause size : 4 ( 2 avg)
% 0.67/0.80 % Maximal term depth : 2 ( 1 avg)
% 0.67/0.80 % Number of predicates : 4 ( 3 usr; 0 prp; 1-3 aty)
% 0.67/0.80 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 0.67/0.80 % Number of variables : 52 ( 5 sgn)
% 0.67/0.80 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.67/0.80
% 0.67/0.80 % Comments :
% 0.67/0.80 %--------------------------------------------------------------------------
% 0.67/0.80 %----Include Mitchell's axioms for category theory
% 0.67/0.80 include('Axioms/CAT001-0.ax').
% 0.67/0.80 %--------------------------------------------------------------------------
% 0.67/0.80 cnf(assume_ab_exists,hypothesis,
% 0.67/0.80 defined(a,b) ).
% 0.67/0.80
% 0.67/0.80 cnf(assume_bc_exists,hypothesis,
% 0.67/0.80 defined(b,c) ).
% 0.67/0.80
% 0.67/0.80 cnf(prove_a_bc_exists,negated_conjecture,
% 0.67/0.80 ~ defined(a,compose(b,c)) ).
% 0.67/0.80
% 0.67/0.80 %--------------------------------------------------------------------------
% 0.67/0.80 %-------------------------------------------
% 0.67/0.80 % Proof found
% 0.67/0.80 % SZS status Theorem for theBenchmark
% 0.67/0.80 % SZS output start Proof
% 0.67/0.80 %ClaNum:34(EqnAxiom:13)
% 0.67/0.80 %VarNum:108(SingletonVarNum:52)
% 0.67/0.80 %MaxLitNum:4
% 0.67/0.80 %MaxfuncDepth:1
% 0.67/0.80 %SharedTerms:7
% 0.67/0.80 %goalClause: 22
% 0.67/0.80 %singleGoalClaCount:1
% 0.67/0.80 [16]P2(a3,a4)
% 0.67/0.80 [17]P2(a4,a5)
% 0.67/0.80 [22]~P2(a3,f6(a4,a5))
% 0.67/0.80 [14]P1(f1(x141))
% 0.67/0.80 [15]P1(f2(x151))
% 0.67/0.80 [18]P2(x181,f1(x181))
% 0.67/0.80 [19]P2(f2(x191),x191)
% 0.67/0.80 [20]P3(x201,f1(x201),x201)
% 0.67/0.80 [21]P3(f2(x211),x211,x211)
% 0.67/0.80 [27]~P2(x271,x272)+P3(x271,x272,f6(x271,x272))
% 0.67/0.81 [26]P2(x261,x262)+~P3(x261,x262,x263)
% 0.67/0.81 [24]~P1(x241)+~P2(x241,x242)+P3(x241,x242,x242)
% 0.67/0.81 [25]~P1(x252)+~P2(x251,x252)+P3(x251,x252,x251)
% 0.67/0.81 [28]P2(x281,x282)+~P3(x282,x284,x283)+~P2(x281,x283)
% 0.67/0.81 [29]P2(x291,x292)+~P3(x294,x291,x293)+~P2(x293,x292)
% 0.67/0.81 [30]~P3(x303,x304,x301)+E(x301,x302)+~P3(x303,x304,x302)
% 0.67/0.81 [23]~P2(x233,x232)+~P2(x231,x233)+P2(x231,x232)+~P1(x233)
% 0.67/0.81 [31]~P3(x315,x312,x314)+P2(x311,x312)+~P3(x313,x315,x311)+~P2(x313,x314)
% 0.67/0.81 [32]~P3(x321,x325,x323)+P2(x321,x322)+~P3(x325,x324,x322)+~P2(x323,x324)
% 0.67/0.81 [33]~P3(x336,x332,x335)+P3(x331,x332,x333)+~P3(x334,x335,x333)+~P3(x334,x336,x331)
% 0.67/0.81 [34]~P3(x341,x346,x344)+P3(x341,x342,x343)+~P3(x344,x345,x343)+~P3(x346,x345,x342)
% 0.67/0.81 %EqnAxiom
% 0.67/0.81 [1]E(x11,x11)
% 0.67/0.81 [2]E(x22,x21)+~E(x21,x22)
% 0.67/0.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.67/0.81 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.67/0.81 [5]~E(x51,x52)+E(f2(x51),f2(x52))
% 0.67/0.81 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 0.67/0.81 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 0.67/0.81 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.67/0.81 [9]P3(x92,x93,x94)+~E(x91,x92)+~P3(x91,x93,x94)
% 0.67/0.81 [10]P3(x103,x102,x104)+~E(x101,x102)+~P3(x103,x101,x104)
% 0.67/0.81 [11]P3(x113,x114,x112)+~E(x111,x112)+~P3(x113,x114,x111)
% 0.67/0.81 [12]P2(x122,x123)+~E(x121,x122)+~P2(x121,x123)
% 0.67/0.81 [13]P2(x133,x132)+~E(x131,x132)+~P2(x133,x131)
% 0.67/0.81
% 0.67/0.81 %-------------------------------------------
% 0.67/0.81 cnf(35,plain,
% 0.67/0.81 (~P3(a3,f6(a4,a5),x351)),
% 0.67/0.81 inference(scs_inference,[],[22,26])).
% 0.67/0.81 cnf(36,plain,
% 0.67/0.81 (~E(a4,f6(a4,a5))),
% 0.67/0.81 inference(scs_inference,[],[22,16,26,13])).
% 0.67/0.81 cnf(37,plain,
% 0.67/0.81 (~E(f2(f6(a4,a5)),a3)),
% 0.67/0.81 inference(scs_inference,[],[22,16,19,26,13,12])).
% 0.67/0.81 cnf(39,plain,
% 0.67/0.81 (~E(f1(a3),f6(a4,a5))),
% 0.67/0.81 inference(scs_inference,[],[22,16,20,19,26,13,12,10])).
% 0.67/0.81 cnf(40,plain,
% 0.67/0.81 (P3(x401,f1(x401),x401)),
% 0.67/0.81 inference(rename_variables,[],[20])).
% 0.67/0.81 cnf(41,plain,
% 0.67/0.81 (P2(f1(a3),a4)),
% 0.67/0.81 inference(scs_inference,[],[22,16,20,40,19,26,13,12,10,29])).
% 0.67/0.81 cnf(42,plain,
% 0.67/0.81 (P3(x421,f1(x421),x421)),
% 0.67/0.81 inference(rename_variables,[],[20])).
% 0.67/0.81 cnf(44,plain,
% 0.67/0.81 (~P3(f6(a4,a5),x441,a4)),
% 0.67/0.81 inference(scs_inference,[],[22,16,20,40,19,26,13,12,10,29,28])).
% 0.67/0.81 cnf(46,plain,
% 0.67/0.81 (~P3(f1(a3),f6(a4,a5),f1(a3))),
% 0.67/0.81 inference(scs_inference,[],[22,16,20,40,42,19,26,13,12,10,29,28,33])).
% 0.67/0.81 cnf(47,plain,
% 0.67/0.81 (P3(x471,f1(x471),x471)),
% 0.67/0.81 inference(rename_variables,[],[20])).
% 0.67/0.81 cnf(52,plain,
% 0.67/0.81 (~P2(f1(a3),f6(a4,a5))),
% 0.67/0.81 inference(scs_inference,[],[22,16,20,40,42,47,18,19,14,26,13,12,10,29,28,33,32,23])).
% 0.67/0.81 cnf(56,plain,
% 0.67/0.81 (~E(f6(a4,a5),a4)),
% 0.67/0.81 inference(scs_inference,[],[22,16,20,40,42,47,18,19,14,26,13,12,10,29,28,33,32,23,2])).
% 0.67/0.81 cnf(57,plain,
% 0.67/0.81 (P3(a3,a4,f6(a3,a4))),
% 0.67/0.81 inference(scs_inference,[],[22,16,20,40,42,47,18,19,14,26,13,12,10,29,28,33,32,23,2,27])).
% 0.67/0.81 cnf(76,plain,
% 0.67/0.81 (~P3(a4,f1(a4),f6(a4,a5))),
% 0.67/0.81 inference(scs_inference,[],[20,56,30])).
% 0.67/0.81 cnf(77,plain,
% 0.67/0.81 (P3(x771,f1(x771),x771)),
% 0.67/0.81 inference(rename_variables,[],[20])).
% 0.67/0.81 cnf(80,plain,
% 0.67/0.81 (P3(x801,f1(x801),x801)),
% 0.67/0.81 inference(rename_variables,[],[20])).
% 0.67/0.81 cnf(85,plain,
% 0.67/0.81 (P3(x851,f1(x851),x851)),
% 0.67/0.81 inference(rename_variables,[],[20])).
% 0.67/0.81 cnf(88,plain,
% 0.67/0.81 (~E(f1(f1(a3)),f6(a4,a5))),
% 0.67/0.81 inference(scs_inference,[],[22,20,77,80,85,21,18,46,56,44,30,33,32,10])).
% 0.67/0.81 cnf(92,plain,
% 0.67/0.81 (~E(f2(x921),x922)+P1(x922)),
% 0.67/0.81 inference(scs_inference,[],[22,15,20,77,80,85,21,18,19,46,52,56,44,30,33,32,10,12,8])).
% 0.67/0.81 cnf(116,plain,
% 0.67/0.81 (~P2(f1(f1(a3)),f6(a4,a5))),
% 0.67/0.81 inference(scs_inference,[],[14,18,52,23])).
% 0.67/0.81 cnf(117,plain,
% 0.67/0.81 (P2(x1171,f1(x1171))),
% 0.67/0.81 inference(rename_variables,[],[18])).
% 0.67/0.81 cnf(121,plain,
% 0.67/0.81 (P2(x1211,f1(x1211))),
% 0.67/0.81 inference(rename_variables,[],[18])).
% 0.67/0.81 cnf(123,plain,
% 0.67/0.81 (~P3(a4,f2(f1(a4)),f6(a4,a5))),
% 0.67/0.81 inference(scs_inference,[],[14,20,21,18,117,44,52,23,28,33])).
% 0.67/0.81 cnf(124,plain,
% 0.67/0.81 (~P3(f6(a4,a5),x1241,a4)),
% 0.67/0.81 inference(rename_variables,[],[44])).
% 0.67/0.81 cnf(125,plain,
% 0.67/0.81 (P3(x1251,f1(x1251),x1251)),
% 0.67/0.81 inference(rename_variables,[],[20])).
% 0.67/0.81 cnf(126,plain,
% 0.67/0.81 (P3(f2(x1261),x1261,x1261)),
% 0.67/0.81 inference(rename_variables,[],[21])).
% 0.67/0.81 cnf(132,plain,
% 0.67/0.81 (~P3(x1321,f1(a3),f2(f6(a4,a5)))),
% 0.67/0.81 inference(scs_inference,[],[14,20,125,21,18,117,121,19,44,52,23,28,33,32,29])).
% 0.67/0.81 cnf(141,plain,
% 0.67/0.81 (~E(x1411,f6(a4,a5))+~E(a4,x1411)),
% 0.67/0.81 inference(scs_inference,[],[14,20,125,21,126,18,117,121,19,36,44,124,52,57,23,28,33,32,29,34,26,3])).
% 0.67/0.81 cnf(146,plain,
% 0.67/0.81 (P3(f6(a3,a4),f1(a4),f6(a3,a4))),
% 0.67/0.81 inference(scs_inference,[],[20,57,33])).
% 0.67/0.81 cnf(147,plain,
% 0.67/0.81 (P3(x1471,f1(x1471),x1471)),
% 0.67/0.81 inference(rename_variables,[],[20])).
% 0.67/0.81 cnf(149,plain,
% 0.67/0.81 (P2(f1(x1491),f1(x1491))),
% 0.67/0.81 inference(scs_inference,[],[20,147,18,57,33,29])).
% 0.67/0.81 cnf(150,plain,
% 0.67/0.81 (P2(x1501,f1(x1501))),
% 0.67/0.81 inference(rename_variables,[],[18])).
% 0.67/0.81 cnf(152,plain,
% 0.67/0.81 (P3(x1521,a4,f6(a3,a4))+~E(a3,x1521)),
% 0.67/0.81 inference(scs_inference,[],[20,147,18,57,33,29,9])).
% 0.67/0.81 cnf(156,plain,
% 0.67/0.81 (P2(f6(a3,a4),f1(a4))),
% 0.67/0.81 inference(scs_inference,[],[20,147,21,18,19,39,57,33,29,9,30,31])).
% 0.67/0.81 cnf(157,plain,
% 0.67/0.81 (P3(f2(x1571),x1571,x1571)),
% 0.67/0.81 inference(rename_variables,[],[21])).
% 0.67/0.81 cnf(160,plain,
% 0.67/0.81 (P2(x1601,f2(f1(x1601)))),
% 0.67/0.81 inference(scs_inference,[],[20,147,21,157,18,150,19,39,57,33,29,9,30,31,28])).
% 0.67/0.81 cnf(163,plain,
% 0.67/0.81 (P2(x1631,a4)+~E(a3,x1631)),
% 0.67/0.81 inference(scs_inference,[],[20,147,21,157,18,150,19,39,57,33,29,9,30,31,28,26])).
% 0.67/0.81 cnf(174,plain,
% 0.67/0.81 (P3(f1(x1741),f1(x1741),f1(x1741))),
% 0.67/0.81 inference(scs_inference,[],[149,14,24])).
% 0.67/0.81 cnf(178,plain,
% 0.67/0.81 (P3(x1781,f1(x1781),x1781)),
% 0.67/0.81 inference(rename_variables,[],[20])).
% 0.67/0.81 cnf(183,plain,
% 0.67/0.81 (P3(f6(a3,a4),f1(f1(a4)),f6(a3,a4))),
% 0.67/0.81 inference(scs_inference,[],[35,20,178,149,116,146,14,57,24,34,26,33])).
% 0.67/0.81 cnf(187,plain,
% 0.67/0.81 (P2(x1871,f1(x1871))),
% 0.67/0.81 inference(rename_variables,[],[18])).
% 0.67/0.81 cnf(189,plain,
% 0.67/0.81 (P3(a4,a5,f6(a4,a5))),
% 0.67/0.81 inference(scs_inference,[],[35,17,20,178,18,149,116,146,14,57,24,34,26,33,29,27])).
% 0.67/0.81 cnf(192,plain,
% 0.67/0.81 (~P3(f1(f1(a3)),a4,a4)),
% 0.67/0.82 inference(scs_inference,[],[35,17,20,178,18,149,88,116,146,14,57,24,34,26,33,29,27,2,32])).
% 0.67/0.82 cnf(194,plain,
% 0.67/0.82 (~P3(f6(a4,a5),x1941,f1(a3))),
% 0.67/0.82 inference(scs_inference,[],[35,17,20,178,18,187,149,88,116,146,14,57,22,24,34,26,33,29,27,2,32,28])).
% 0.67/0.82 cnf(197,plain,
% 0.67/0.82 (P3(x1971,f2(f1(x1971)),x1971)),
% 0.67/0.82 inference(scs_inference,[],[15,160,25])).
% 0.67/0.82 cnf(202,plain,
% 0.67/0.82 (P3(f2(x2021),x2021,x2021)),
% 0.67/0.82 inference(rename_variables,[],[21])).
% 0.67/0.82 cnf(204,plain,
% 0.67/0.82 (P3(f2(x2041),x2041,x2041)),
% 0.67/0.82 inference(rename_variables,[],[21])).
% 0.67/0.82 cnf(206,plain,
% 0.67/0.82 (P2(f2(x2061),f2(x2061))),
% 0.67/0.82 inference(scs_inference,[],[15,21,202,204,19,17,160,132,189,25,11,32,28])).
% 0.67/0.82 cnf(207,plain,
% 0.67/0.82 (P2(f2(x2071),x2071)),
% 0.67/0.82 inference(rename_variables,[],[19])).
% 0.67/0.82 cnf(209,plain,
% 0.67/0.82 (~P3(a3,a4,a4)),
% 0.67/0.82 inference(scs_inference,[],[15,35,21,202,204,19,17,160,132,189,25,11,32,28,34])).
% 0.67/0.82 cnf(221,plain,
% 0.67/0.82 (P3(f6(a3,a4),x2211,f6(a3,a4))+~E(f1(f1(a4)),x2211)),
% 0.67/0.82 inference(scs_inference,[],[15,35,21,202,204,19,207,17,160,132,194,183,189,22,25,11,32,28,34,33,26,29,10])).
% 0.67/0.82 cnf(226,plain,
% 0.67/0.82 (P3(f2(x2261),x2261,x2261)),
% 0.67/0.82 inference(rename_variables,[],[21])).
% 0.67/0.82 cnf(229,plain,
% 0.67/0.82 (P3(f2(x2291),x2291,x2291)),
% 0.67/0.82 inference(rename_variables,[],[21])).
% 0.67/0.82 cnf(232,plain,
% 0.67/0.82 (P3(x2321,f1(x2321),x2321)),
% 0.67/0.82 inference(rename_variables,[],[20])).
% 0.67/0.82 cnf(234,plain,
% 0.67/0.82 (~P3(f6(a3,a4),a5,x2341)),
% 0.67/0.82 inference(scs_inference,[],[16,35,20,21,226,76,209,189,44,57,9,10,28,33,34])).
% 0.67/0.82 cnf(239,plain,
% 0.67/0.82 (~P2(f6(a3,a4),a5)),
% 0.67/0.82 inference(scs_inference,[],[16,35,20,232,21,226,19,76,209,189,44,57,9,10,28,33,34,29,27])).
% 0.67/0.82 cnf(241,plain,
% 0.67/0.82 (~P2(f1(a3),f2(f6(a4,a5)))),
% 0.67/0.82 inference(scs_inference,[],[16,35,20,232,21,226,19,76,209,189,15,44,52,57,9,10,28,33,34,29,27,23])).
% 0.67/0.82 cnf(246,plain,
% 0.67/0.82 (P2(x2461,f1(x2461))),
% 0.67/0.82 inference(rename_variables,[],[18])).
% 0.67/0.82 cnf(247,plain,
% 0.67/0.82 (~P2(f2(f6(a4,a5)),f1(a3))),
% 0.67/0.82 inference(scs_inference,[],[16,35,20,232,21,226,18,19,76,209,132,189,15,44,14,52,57,9,10,28,33,34,29,27,23,13,25])).
% 0.67/0.82 cnf(253,plain,
% 0.67/0.82 (P2(f2(a3),f6(a3,a4))),
% 0.67/0.82 inference(scs_inference,[],[16,35,20,232,21,226,229,18,246,19,76,209,132,183,146,189,15,44,14,52,57,9,10,28,33,34,29,27,23,13,25,31,11,32])).
% 0.67/0.82 cnf(263,plain,
% 0.67/0.82 (E(x2631,f6(x2631,f1(x2631)))),
% 0.67/0.82 inference(scs_inference,[],[20,18,27,30])).
% 0.67/0.82 cnf(266,plain,
% 0.67/0.82 (P2(f2(x2661),x2661)),
% 0.67/0.82 inference(rename_variables,[],[19])).
% 0.67/0.82 cnf(269,plain,
% 0.67/0.82 (E(f6(x2691,f1(x2691)),x2691)),
% 0.67/0.82 inference(scs_inference,[],[20,18,19,253,15,27,30,23,2])).
% 0.67/0.82 cnf(270,plain,
% 0.67/0.82 (~P2(f1(f1(a3)),a4)),
% 0.67/0.82 inference(scs_inference,[],[20,18,19,253,192,15,14,27,30,23,2,24])).
% 0.67/0.82 cnf(274,plain,
% 0.67/0.82 (~P3(a4,a5,a4)),
% 0.67/0.82 inference(scs_inference,[],[16,20,18,19,253,192,239,15,14,57,27,30,23,2,24,13,31])).
% 0.67/0.82 cnf(276,plain,
% 0.67/0.82 (P3(f6(a4,f1(a4)),f1(a4),a4)),
% 0.67/0.82 inference(scs_inference,[],[16,20,18,19,253,192,239,15,14,57,27,30,23,2,24,13,31,9])).
% 0.67/0.82 cnf(277,plain,
% 0.67/0.82 (P3(x2771,f1(x2771),x2771)),
% 0.67/0.82 inference(rename_variables,[],[20])).
% 0.67/0.82 cnf(281,plain,
% 0.67/0.82 (P3(f2(a4),f6(a4,f1(a4)),a4)),
% 0.67/0.82 inference(scs_inference,[],[16,20,21,18,19,253,41,241,192,239,174,15,14,57,27,30,23,2,24,13,31,9,32,10])).
% 0.67/0.82 cnf(283,plain,
% 0.67/0.82 (P3(f6(a4,a5),f1(a5),f6(a4,a5))),
% 0.67/0.82 inference(scs_inference,[],[16,20,277,21,18,19,253,41,241,192,239,174,15,14,189,57,27,30,23,2,24,13,31,9,32,10,33])).
% 0.67/0.82 cnf(284,plain,
% 0.67/0.82 (P3(x2841,f1(x2841),x2841)),
% 0.67/0.82 inference(rename_variables,[],[20])).
% 0.67/0.82 cnf(286,plain,
% 0.67/0.82 (~P3(f1(a3),x2861,f6(a4,a5))),
% 0.67/0.82 inference(scs_inference,[],[16,20,277,21,18,19,266,247,253,41,241,192,239,174,15,14,189,57,27,30,23,2,24,13,31,9,32,10,33,28])).
% 0.67/0.82 cnf(292,plain,
% 0.67/0.82 (P3(x2921,f1(x2921),x2921)),
% 0.67/0.82 inference(rename_variables,[],[20])).
% 0.67/0.82 cnf(299,plain,
% 0.67/0.82 (~P1(a5)),
% 0.67/0.82 inference(scs_inference,[],[16,20,277,284,292,21,18,17,19,266,247,253,41,241,234,123,192,239,174,15,14,189,57,27,30,23,2,24,13,31,9,32,10,33,28,26,29,34,221,25])).
% 0.67/0.82 cnf(303,plain,
% 0.67/0.82 (~E(f6(a4,f1(a4)),f6(a4,a5))),
% 0.67/0.82 inference(scs_inference,[],[16,20,277,284,292,21,18,17,19,266,247,253,41,241,234,123,192,239,174,15,14,189,57,27,30,23,2,24,13,31,9,32,10,33,28,26,29,34,221,25,163,141])).
% 0.67/0.82 cnf(306,plain,
% 0.67/0.82 (E(x3061,f6(x3061,f1(x3061)))),
% 0.67/0.82 inference(rename_variables,[],[263])).
% 0.67/0.82 cnf(310,plain,
% 0.67/0.82 (E(x3101,f6(x3101,f1(x3101)))),
% 0.67/0.82 inference(rename_variables,[],[263])).
% 0.67/0.82 cnf(312,plain,
% 0.67/0.82 (~P2(f1(a4),a5)),
% 0.67/0.82 inference(scs_inference,[],[263,306,156,303,299,239,14,152,92,7,163,23])).
% 0.67/0.82 cnf(322,plain,
% 0.67/0.82 (P3(f2(x3221),x3221,x3221)),
% 0.67/0.82 inference(rename_variables,[],[21])).
% 0.67/0.82 cnf(324,plain,
% 0.67/0.82 (P2(a4,f6(a5,f1(a5)))),
% 0.67/0.82 inference(scs_inference,[],[17,37,36,21,263,306,310,206,156,303,281,299,239,15,14,152,92,7,163,23,2,30,25,31,13])).
% 0.67/0.82 cnf(325,plain,
% 0.67/0.82 (E(x3251,f6(x3251,f1(x3251)))),
% 0.67/0.82 inference(rename_variables,[],[263])).
% 0.67/0.82 cnf(327,plain,
% 0.67/0.82 (P3(x3271,f1(x3271),x3271)),
% 0.67/0.82 inference(rename_variables,[],[20])).
% 0.67/0.82 cnf(330,plain,
% 0.67/0.82 (P3(f2(x3301),x3301,x3301)),
% 0.67/0.82 inference(rename_variables,[],[21])).
% 0.67/0.82 cnf(332,plain,
% 0.67/0.82 (P2(a4,f2(a5))),
% 0.67/0.82 inference(scs_inference,[],[17,37,36,21,322,330,20,263,306,310,206,156,303,286,281,299,239,15,14,152,92,7,163,23,2,30,25,31,13,9,32,28])).
% 0.67/0.82 cnf(335,plain,
% 0.67/0.82 (P3(a4,f1(f1(a4)),a4)),
% 0.67/0.82 inference(scs_inference,[],[17,37,36,21,322,330,20,327,263,306,310,206,156,303,286,281,276,299,239,15,14,152,92,7,163,23,2,30,25,31,13,9,32,28,33])).
% 0.67/0.82 cnf(345,plain,
% 0.67/0.82 (~P3(x3451,f1(f1(a3)),f2(a4))),
% 0.67/0.82 inference(scs_inference,[],[17,37,36,35,21,322,330,20,327,19,197,263,306,310,325,206,156,303,286,281,276,270,299,239,15,14,152,92,7,163,23,2,30,25,31,13,9,32,28,33,26,10,12,29])).
% 0.67/0.82 cnf(353,plain,
% 0.67/0.82 (E(f6(x3531,f1(x3531)),x3531)),
% 0.67/0.82 inference(rename_variables,[],[269])).
% 0.67/0.82 cnf(355,plain,
% 0.67/0.82 (P3(f2(x3551),x3551,x3551)),
% 0.67/0.82 inference(rename_variables,[],[21])).
% 0.67/0.82 cnf(357,plain,
% 0.67/0.82 (~P2(f2(a4),f1(f1(a3)))),
% 0.67/0.82 inference(scs_inference,[],[39,21,269,345,299,14,8,30,25])).
% 0.67/0.82 cnf(365,plain,
% 0.67/0.82 (~P2(f1(a4),f6(a5,f1(a5)))),
% 0.67/0.82 inference(scs_inference,[],[39,21,355,19,269,353,345,283,312,299,14,8,30,25,31,13])).
% 0.67/0.82 cnf(431,plain,
% 0.67/0.82 (P2(x4311,f1(x4311))),
% 0.67/0.82 inference(rename_variables,[],[18])).
% 0.67/0.82 cnf(432,plain,
% 0.67/0.82 (P3(x4321,f1(x4321),x4321)),
% 0.67/0.82 inference(rename_variables,[],[20])).
% 0.67/0.82 cnf(443,plain,
% 0.67/0.82 (P3(x4431,f1(x4431),x4431)),
% 0.67/0.82 inference(rename_variables,[],[20])).
% 0.67/0.82 cnf(449,plain,
% 0.67/0.82 (P3(x4491,f1(x4491),x4491)),
% 0.67/0.82 inference(rename_variables,[],[20])).
% 0.67/0.82 cnf(451,plain,
% 0.67/0.82 ($false),
% 0.67/0.82 inference(scs_inference,[],[18,431,20,432,443,449,332,365,324,274,357,283,335,146,263,239,15,31,25,32,9,33,26,34,29]),
% 0.67/0.82 ['proof']).
% 0.67/0.82 % SZS output end Proof
% 0.67/0.82 % Total time :0.180000s
%------------------------------------------------------------------------------