TSTP Solution File: HEN008-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : HEN008-3 : 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 : n004.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 : Thu Aug 31 01:54:07 EDT 2023
% Result : Unsatisfiable 0.70s 0.78s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN008-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.33 % Computer : n004.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Thu Aug 24 13:17:23 EDT 2023
% 0.15/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.70/0.78 %-------------------------------------------
% 0.70/0.78 % File :CSE---1.6
% 0.70/0.78 % Problem :theBenchmark
% 0.70/0.78 % Transform :cnf
% 0.70/0.78 % Format :tptp:raw
% 0.70/0.78 % Command :java -jar mcs_scs.jar %d %s
% 0.70/0.78
% 0.70/0.78 % Result :Theorem 0.180000s
% 0.70/0.78 % Output :CNFRefutation 0.180000s
% 0.70/0.78 %-------------------------------------------
% 0.70/0.78 %--------------------------------------------------------------------------
% 0.70/0.78 % File : HEN008-3 : TPTP v8.1.2. Released v1.0.0.
% 0.70/0.78 % Domain : Henkin Models
% 0.70/0.78 % Problem : X <= Y => X/Z <= Y/Z
% 0.70/0.78 % Version : [MOW76] axioms.
% 0.70/0.78 % English :
% 0.70/0.78
% 0.70/0.78 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.70/0.78 % Source : [ANL]
% 0.70/0.78 % Names : HP8 [ANL]
% 0.70/0.78
% 0.70/0.78 % Status : Unsatisfiable
% 0.70/0.78 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.08 v5.2.0, 0.00 v4.1.0, 0.11 v4.0.1, 0.00 v2.2.1, 0.11 v2.2.0, 0.14 v2.1.0, 0.20 v2.0.0
% 0.70/0.78 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 5 RR)
% 0.70/0.78 % Number of literals : 13 ( 3 equ; 5 neg)
% 0.70/0.78 % Maximal clause size : 3 ( 1 avg)
% 0.70/0.78 % Maximal term depth : 3 ( 1 avg)
% 0.70/0.78 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 0.70/0.78 % Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% 0.70/0.78 % Number of variables : 13 ( 3 sgn)
% 0.70/0.78 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.70/0.78
% 0.70/0.78 % Comments :
% 0.70/0.78 %--------------------------------------------------------------------------
% 0.70/0.78 %----Include Henkin model axioms for equality formulation
% 0.70/0.78 include('Axioms/HEN002-0.ax').
% 0.70/0.78 %--------------------------------------------------------------------------
% 0.70/0.78 cnf(a_LE_b,hypothesis,
% 0.70/0.78 less_equal(a,b) ).
% 0.70/0.78
% 0.70/0.78 cnf(prove_a_divide_c_LE_b_divide_c,negated_conjecture,
% 0.70/0.78 ~ less_equal(divide(a,c),divide(b,c)) ).
% 0.70/0.78
% 0.70/0.78 %--------------------------------------------------------------------------
% 0.70/0.78 %-------------------------------------------
% 0.70/0.78 % Proof found
% 0.70/0.78 % SZS status Theorem for theBenchmark
% 0.70/0.78 % SZS output start Proof
% 0.70/0.78 %ClaNum:16(EqnAxiom:7)
% 0.70/0.78 %VarNum:26(SingletonVarNum:13)
% 0.70/0.78 %MaxLitNum:3
% 0.70/0.78 %MaxfuncDepth:2
% 0.70/0.78 %SharedTerms:9
% 0.70/0.78 %goalClause: 13
% 0.70/0.78 %singleGoalClaCount:1
% 0.70/0.78 [8]P1(a1,a2)
% 0.70/0.78 [13]~P1(f4(a1,a5),f4(a2,a5))
% 0.70/0.78 [9]P1(x91,a3)
% 0.70/0.78 [10]P1(a6,x101)
% 0.70/0.78 [11]P1(f4(x111,x112),x111)
% 0.70/0.78 [12]P1(f4(f4(x121,x122),f4(x123,x122)),f4(f4(x121,x123),x122))
% 0.70/0.78 [14]~P1(x141,x142)+E(f4(x141,x142),a6)
% 0.70/0.78 [15]P1(x151,x152)+~E(f4(x151,x152),a6)
% 0.70/0.78 [16]~P1(x162,x161)+~P1(x161,x162)+E(x161,x162)
% 0.70/0.78 %EqnAxiom
% 0.70/0.78 [1]E(x11,x11)
% 0.70/0.78 [2]E(x22,x21)+~E(x21,x22)
% 0.70/0.78 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.70/0.78 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.70/0.78 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.70/0.78 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 0.70/0.78 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 0.70/0.78
% 0.70/0.78 %-------------------------------------------
% 0.70/0.79 cnf(17,plain,
% 0.70/0.79 (~E(a3,f4(a2,a5))),
% 0.70/0.79 inference(scs_inference,[],[13,9,7])).
% 0.70/0.79 cnf(18,plain,
% 0.70/0.79 (P1(x181,a3)),
% 0.70/0.79 inference(rename_variables,[],[9])).
% 0.70/0.79 cnf(19,plain,
% 0.70/0.79 (~E(a6,f4(a1,a5))),
% 0.70/0.79 inference(scs_inference,[],[13,9,10,7,6])).
% 0.70/0.79 cnf(20,plain,
% 0.70/0.79 (P1(a6,x201)),
% 0.70/0.79 inference(rename_variables,[],[10])).
% 0.70/0.79 cnf(21,plain,
% 0.70/0.79 (~P1(f4(a1,a5),a6)),
% 0.70/0.79 inference(scs_inference,[],[13,9,10,20,7,6,16])).
% 0.70/0.79 cnf(25,plain,
% 0.70/0.79 (~E(f4(f4(a1,a5),f4(a2,a5)),a6)),
% 0.70/0.79 inference(scs_inference,[],[13,9,10,20,7,6,16,2,15])).
% 0.70/0.79 cnf(27,plain,
% 0.70/0.79 (E(f4(x271,a3),a6)),
% 0.70/0.79 inference(scs_inference,[],[13,9,18,10,20,7,6,16,2,15,14])).
% 0.70/0.79 cnf(30,plain,
% 0.70/0.79 (E(f4(x301,f4(x302,a3)),f4(x301,a6))),
% 0.70/0.79 inference(scs_inference,[],[27,5])).
% 0.70/0.79 cnf(31,plain,
% 0.70/0.79 (E(f4(f4(x311,a3),x312),f4(a6,x312))),
% 0.70/0.79 inference(scs_inference,[],[27,5,4])).
% 0.70/0.79 cnf(33,plain,
% 0.70/0.79 (P1(f4(x331,x332),x331)),
% 0.70/0.79 inference(rename_variables,[],[11])).
% 0.70/0.79 cnf(34,plain,
% 0.70/0.79 (~E(f4(f4(a2,a5),x341),f4(a1,a5))),
% 0.70/0.79 inference(scs_inference,[],[13,11,33,27,5,4,7,6])).
% 0.70/0.79 cnf(36,plain,
% 0.70/0.79 (~P1(f4(f4(a1,a5),f4(a2,a5)),a6)),
% 0.70/0.79 inference(scs_inference,[],[13,11,33,10,25,27,5,4,7,6,16])).
% 0.70/0.79 cnf(39,plain,
% 0.70/0.79 (E(a6,f4(x391,a3))),
% 0.70/0.79 inference(scs_inference,[],[13,11,33,10,25,27,5,4,7,6,16,2])).
% 0.70/0.79 cnf(42,plain,
% 0.70/0.79 (~E(f4(f4(a2,a5),x421),f4(a1,a5))),
% 0.70/0.79 inference(rename_variables,[],[34])).
% 0.70/0.79 cnf(43,plain,
% 0.70/0.79 (~P1(a3,f4(a2,a5))),
% 0.70/0.79 inference(scs_inference,[],[17,9,34,4,16])).
% 0.70/0.79 cnf(46,plain,
% 0.70/0.79 (P1(f4(f4(x461,x462),f4(a3,x462)),f4(a6,x462))),
% 0.70/0.79 inference(scs_inference,[],[17,12,9,31,34,4,16,7])).
% 0.70/0.79 cnf(47,plain,
% 0.70/0.79 (E(f4(f4(x471,a3),x472),f4(a6,x472))),
% 0.70/0.79 inference(rename_variables,[],[31])).
% 0.70/0.79 cnf(48,plain,
% 0.70/0.79 (P1(f4(f4(x481,x482),f4(x483,x482)),f4(f4(x481,x483),x482))),
% 0.70/0.79 inference(rename_variables,[],[12])).
% 0.70/0.79 cnf(49,plain,
% 0.70/0.79 (P1(f4(f4(x491,a3),a6),f4(f4(x491,x492),a3))),
% 0.70/0.79 inference(scs_inference,[],[17,12,48,9,30,31,34,4,16,7,6])).
% 0.70/0.79 cnf(50,plain,
% 0.70/0.79 (E(f4(x501,f4(x502,a3)),f4(x501,a6))),
% 0.70/0.79 inference(rename_variables,[],[30])).
% 0.70/0.79 cnf(53,plain,
% 0.70/0.79 (E(f4(f4(x531,a3),f4(x532,a3)),f4(a6,a6))),
% 0.70/0.79 inference(scs_inference,[],[17,12,48,9,30,50,31,47,34,42,4,16,7,6,2,3])).
% 0.70/0.79 cnf(59,plain,
% 0.70/0.79 (E(f4(a6,x591),f4(f4(x592,a3),x591))),
% 0.70/0.79 inference(scs_inference,[],[39,4])).
% 0.70/0.79 cnf(60,plain,
% 0.70/0.79 (~E(f4(a1,a5),a6)),
% 0.70/0.79 inference(scs_inference,[],[11,36,39,4,7])).
% 0.70/0.79 cnf(61,plain,
% 0.70/0.79 (P1(f4(x611,x612),x611)),
% 0.70/0.79 inference(rename_variables,[],[11])).
% 0.70/0.79 cnf(62,plain,
% 0.70/0.79 (~E(f4(a6,x621),f4(f4(a1,a5),f4(a2,a5)))),
% 0.70/0.79 inference(scs_inference,[],[11,61,36,39,4,7,6])).
% 0.70/0.79 cnf(64,plain,
% 0.70/0.79 (E(f4(a6,a6),f4(f4(x641,a3),f4(x642,a3)))),
% 0.70/0.79 inference(scs_inference,[],[11,61,53,36,39,4,7,6,2])).
% 0.70/0.79 cnf(66,plain,
% 0.70/0.79 (~E(a3,a5)),
% 0.70/0.79 inference(scs_inference,[],[11,61,53,36,39,19,4,7,6,2,3,5])).
% 0.70/0.79 cnf(67,plain,
% 0.70/0.79 (~P1(a1,a5)),
% 0.70/0.79 inference(scs_inference,[],[11,61,53,36,39,19,4,7,6,2,3,5,14])).
% 0.70/0.79 cnf(71,plain,
% 0.70/0.79 (E(f4(a6,x711),a6)),
% 0.70/0.79 inference(scs_inference,[],[10,14])).
% 0.70/0.79 cnf(73,plain,
% 0.70/0.79 (E(f4(x731,a6),f4(x731,f4(x732,a3)))),
% 0.70/0.79 inference(scs_inference,[],[10,39,14,5])).
% 0.70/0.79 cnf(74,plain,
% 0.70/0.79 (E(a6,f4(a6,x741))),
% 0.70/0.79 inference(scs_inference,[],[10,11,39,14,5,16])).
% 0.70/0.79 cnf(76,plain,
% 0.70/0.79 (P1(a6,x761)),
% 0.70/0.79 inference(rename_variables,[],[10])).
% 0.70/0.79 cnf(78,plain,
% 0.70/0.79 (~P1(f4(a1,a5),f4(x781,a3))),
% 0.70/0.79 inference(scs_inference,[],[10,11,21,39,27,14,5,16,7])).
% 0.70/0.79 cnf(79,plain,
% 0.70/0.79 (~E(a6,a3)),
% 0.70/0.79 inference(scs_inference,[],[10,76,11,43,21,39,27,14,5,16,7,6])).
% 0.70/0.79 cnf(81,plain,
% 0.70/0.79 (~E(f4(f4(a1,a5),f4(a2,a5)),f4(a6,x811))),
% 0.70/0.79 inference(scs_inference,[],[10,76,11,43,62,21,39,27,14,5,16,7,6,2])).
% 0.70/0.79 cnf(82,plain,
% 0.70/0.79 (E(f4(f4(x821,a3),f4(x822,a3)),f4(f4(x823,a3),f4(x824,a3)))),
% 0.70/0.79 inference(scs_inference,[],[10,76,11,64,43,62,21,53,39,27,14,5,16,7,6,2,3])).
% 0.70/0.79 cnf(83,plain,
% 0.70/0.79 (~E(f4(a3,f4(a2,a5)),a6)),
% 0.70/0.79 inference(scs_inference,[],[10,76,11,64,43,62,21,53,39,27,14,5,16,7,6,2,3,15])).
% 0.70/0.79 cnf(85,plain,
% 0.70/0.79 (~P1(f4(a3,f4(a2,a5)),a6)),
% 0.70/0.79 inference(scs_inference,[],[10,83,16])).
% 0.70/0.79 cnf(88,plain,
% 0.70/0.79 (P1(f4(f4(a6,x881),x882),f4(f4(x883,a3),x881))),
% 0.70/0.79 inference(scs_inference,[],[11,10,59,83,16,7])).
% 0.70/0.79 cnf(90,plain,
% 0.70/0.79 (~E(f4(a1,a5),f4(a6,x901))),
% 0.70/0.79 inference(scs_inference,[],[11,10,60,59,83,71,16,7,3])).
% 0.70/0.79 cnf(91,plain,
% 0.70/0.79 (~E(a1,a6)),
% 0.70/0.79 inference(scs_inference,[],[11,10,60,59,83,71,16,7,3,4])).
% 0.70/0.79 cnf(92,plain,
% 0.70/0.79 (E(f4(f4(x921,x922),x921),a6)),
% 0.70/0.79 inference(scs_inference,[],[11,14])).
% 0.70/0.79 cnf(98,plain,
% 0.70/0.79 (E(f4(a6,x981),f4(f4(a6,x982),x981))),
% 0.70/0.79 inference(scs_inference,[],[11,88,49,74,14,16,4])).
% 0.70/0.79 cnf(99,plain,
% 0.70/0.79 (P1(f4(f4(x991,a3),f4(x992,a3)),f4(f4(x993,x994),a3))),
% 0.70/0.79 inference(scs_inference,[],[12,11,88,82,49,74,14,16,4,6])).
% 0.70/0.79 cnf(101,plain,
% 0.70/0.79 (P1(f4(f4(x1011,x1012),f4(x1013,x1012)),f4(f4(x1011,x1013),x1012))),
% 0.70/0.79 inference(rename_variables,[],[12])).
% 0.70/0.79 cnf(102,plain,
% 0.70/0.79 (E(a6,f4(f4(x1021,x1022),x1021))),
% 0.70/0.79 inference(scs_inference,[],[12,11,88,82,49,74,14,16,4,6,2])).
% 0.70/0.79 cnf(103,plain,
% 0.70/0.79 (~E(f4(f4(a1,a2),a5),a6)),
% 0.70/0.79 inference(scs_inference,[],[12,101,11,88,82,49,74,36,14,16,4,6,2,7])).
% 0.70/0.79 cnf(105,plain,
% 0.70/0.79 (~E(f4(a6,x1051),f4(a1,a5))),
% 0.70/0.79 inference(scs_inference,[],[19,12,101,11,88,82,49,74,36,14,16,4,6,2,7,3])).
% 0.70/0.79 cnf(106,plain,
% 0.70/0.79 (~P1(f4(a1,a2),a5)),
% 0.70/0.79 inference(scs_inference,[],[103,14])).
% 0.70/0.79 cnf(108,plain,
% 0.70/0.79 (E(f4(x1081,f4(f4(x1082,x1083),x1082)),f4(x1081,a6))),
% 0.70/0.79 inference(scs_inference,[],[92,103,14,5])).
% 0.70/0.79 cnf(109,plain,
% 0.70/0.79 (~P1(a1,a6)),
% 0.70/0.79 inference(scs_inference,[],[10,91,92,103,14,5,16])).
% 0.70/0.79 cnf(114,plain,
% 0.70/0.79 (~E(f4(f4(x1141,a3),f4(x1142,a3)),f4(a1,a5))),
% 0.70/0.79 inference(scs_inference,[],[10,12,78,105,91,92,103,14,5,16,4,6])).
% 0.70/0.79 cnf(117,plain,
% 0.70/0.79 (~E(a5,a3)),
% 0.70/0.79 inference(scs_inference,[],[10,12,66,78,105,91,92,103,14,5,16,4,6,2])).
% 0.70/0.79 cnf(118,plain,
% 0.70/0.79 (~P1(f4(a1,a5),f4(f4(x1181,x1182),x1181))),
% 0.70/0.79 inference(scs_inference,[],[10,21,12,66,78,105,91,92,103,14,5,16,4,6,2,7])).
% 0.70/0.79 cnf(119,plain,
% 0.70/0.79 (E(f4(a6,a6),f4(f4(a6,x1191),f4(x1192,a3)))),
% 0.70/0.79 inference(scs_inference,[],[10,21,12,66,73,98,78,105,91,92,103,14,5,16,4,6,2,7,3])).
% 0.70/0.79 cnf(122,plain,
% 0.70/0.79 (E(f4(f4(f4(x1221,x1222),f4(a3,x1222)),f4(a6,x1222)),a6)),
% 0.70/0.79 inference(scs_inference,[],[46,14])).
% 0.70/0.80 cnf(127,plain,
% 0.70/0.80 (E(f4(a6,x1271),f4(f4(f4(x1272,x1273),x1272),x1271))),
% 0.70/0.80 inference(scs_inference,[],[46,102,79,9,14,16,4])).
% 0.70/0.80 cnf(129,plain,
% 0.70/0.80 (P1(f4(x1291,x1292),x1291)),
% 0.70/0.80 inference(rename_variables,[],[11])).
% 0.70/0.80 cnf(130,plain,
% 0.70/0.80 (E(f4(f4(a6,x1301),f4(x1302,a3)),f4(a6,a6))),
% 0.70/0.80 inference(scs_inference,[],[11,119,67,46,102,79,9,14,16,4,6,2])).
% 0.70/0.80 cnf(131,plain,
% 0.70/0.80 (P1(f4(f4(a6,a6),x1311),f4(f4(a6,x1312),f4(x1313,a3)))),
% 0.70/0.80 inference(scs_inference,[],[11,129,119,67,46,102,79,9,14,16,4,6,2,7])).
% 0.70/0.80 cnf(133,plain,
% 0.70/0.80 (~E(f4(f4(a1,a5),f4(a2,a5)),f4(f4(x1331,a3),x1332))),
% 0.70/0.80 inference(scs_inference,[],[11,129,119,67,46,81,102,79,31,9,14,16,4,6,2,7,3])).
% 0.70/0.80 cnf(135,plain,
% 0.70/0.80 (~E(f4(f4(a1,a5),a6),a6)),
% 0.70/0.80 inference(scs_inference,[],[11,129,21,119,67,46,81,102,79,31,9,14,16,4,6,2,7,3,15])).
% 0.70/0.80 cnf(137,plain,
% 0.70/0.80 (E(f4(f4(a6,a3),f4(a6,a3)),f4(f4(a6,a6),a3))),
% 0.70/0.80 inference(scs_inference,[],[12,131,16])).
% 0.70/0.80 cnf(143,plain,
% 0.70/0.80 (P1(f4(a6,a6),f4(a6,x1431))),
% 0.70/0.80 inference(scs_inference,[],[11,12,131,130,133,16,4,6])).
% 0.70/0.80 cnf(150,plain,
% 0.70/0.80 (E(f4(f4(a6,a6),a3),f4(f4(a6,a3),f4(a6,a3)))),
% 0.70/0.80 inference(scs_inference,[],[12,131,16])).
% 0.70/0.80 cnf(151,plain,
% 0.70/0.80 (P1(f4(f4(x1511,x1512),f4(x1513,x1512)),f4(f4(x1511,x1513),x1512))),
% 0.70/0.80 inference(rename_variables,[],[12])).
% 0.70/0.80 cnf(154,plain,
% 0.70/0.80 (E(f4(f4(a6,x1541),x1542),f4(a6,x1542))),
% 0.70/0.80 inference(scs_inference,[],[12,131,71,16,4])).
% 0.70/0.80 cnf(155,plain,
% 0.70/0.80 (~E(f4(f4(x1551,x1551),f4(x1552,x1551)),f4(a1,a5))),
% 0.70/0.80 inference(scs_inference,[],[12,151,118,131,71,16,4,6])).
% 0.70/0.80 cnf(157,plain,
% 0.70/0.80 (E(f4(x1571,a6),f4(x1571,f4(f4(x1572,x1573),x1572)))),
% 0.70/0.80 inference(scs_inference,[],[12,151,108,118,131,71,16,4,6,2])).
% 0.70/0.80 cnf(158,plain,
% 0.70/0.80 (~P1(f4(a1,a5),f4(f4(f4(x1581,x1582),f4(a3,x1582)),f4(a6,x1582)))),
% 0.70/0.80 inference(scs_inference,[],[12,151,21,108,118,122,131,71,16,4,6,2,7])).
% 0.70/0.80 cnf(159,plain,
% 0.70/0.80 (E(f4(f4(a6,a3),f4(a6,a3)),a6)),
% 0.70/0.80 inference(scs_inference,[],[12,151,21,137,108,118,122,131,71,27,16,4,6,2,7,3])).
% 0.70/0.80 cnf(161,plain,
% 0.70/0.80 (P1(f4(a6,a3),f4(a6,a3))),
% 0.70/0.80 inference(scs_inference,[],[12,151,21,137,108,118,122,131,71,27,16,4,6,2,7,3,15])).
% 0.70/0.80 cnf(165,plain,
% 0.70/0.80 (~P1(a3,a5)),
% 0.70/0.80 inference(scs_inference,[],[117,85,9,15,16])).
% 0.70/0.80 cnf(168,plain,
% 0.70/0.80 (~E(a6,f4(a1,a2))),
% 0.70/0.80 inference(scs_inference,[],[106,117,85,9,10,15,16,6])).
% 0.70/0.80 cnf(170,plain,
% 0.70/0.80 (~E(a6,f4(f4(a1,a5),f4(a2,a5)))),
% 0.70/0.80 inference(scs_inference,[],[25,106,117,85,9,10,15,16,6,2])).
% 0.70/0.80 cnf(171,plain,
% 0.70/0.80 (P1(f4(f4(a6,a3),f4(a6,a3)),f4(f4(a6,a3),f4(a6,a3)))),
% 0.70/0.80 inference(scs_inference,[],[12,25,106,150,117,85,9,10,15,16,6,2,7])).
% 0.70/0.80 cnf(176,plain,
% 0.70/0.80 (P1(f4(f4(a6,a3),f4(a6,a3)),f4(a6,f4(a6,a3)))),
% 0.70/0.80 inference(scs_inference,[],[171,154,7])).
% 0.70/0.80 cnf(178,plain,
% 0.70/0.80 (P1(f4(f4(f4(x1781,x1782),x1781),a3),f4(a6,a3))),
% 0.70/0.80 inference(scs_inference,[],[161,171,127,154,7,6])).
% 0.70/0.80 cnf(179,plain,
% 0.70/0.80 (E(f4(a6,x1791),f4(f4(f4(x1792,x1793),x1792),x1791))),
% 0.70/0.80 inference(rename_variables,[],[127])).
% 0.70/0.80 cnf(180,plain,
% 0.70/0.80 (E(f4(f4(f4(x1801,x1802),x1801),x1803),f4(a6,x1803))),
% 0.70/0.80 inference(scs_inference,[],[161,171,127,179,154,7,6,2])).
% 0.70/0.80 cnf(187,plain,
% 0.70/0.80 (E(f4(f4(f4(a6,a3),f4(a6,a3)),x1871),f4(a6,x1871))),
% 0.70/0.80 inference(scs_inference,[],[159,4])).
% 0.70/0.80 cnf(188,plain,
% 0.70/0.80 (~P1(f4(a1,a5),f4(a6,f4(a6,x1881)))),
% 0.70/0.80 inference(scs_inference,[],[158,127,159,4,7])).
% 0.70/0.80 cnf(191,plain,
% 0.70/0.80 (~E(f4(f4(a6,x1911),x1912),f4(a1,a5))),
% 0.70/0.80 inference(scs_inference,[],[158,88,127,118,159,4,7,6])).
% 0.70/0.80 cnf(194,plain,
% 0.70/0.80 (~E(a6,f4(f4(a1,a5),a6))),
% 0.70/0.80 inference(scs_inference,[],[135,158,88,127,118,159,4,7,6,2])).
% 0.70/0.80 cnf(195,plain,
% 0.70/0.80 (E(f4(x1951,a3),f4(f4(x1952,x1953),x1952))),
% 0.70/0.80 inference(scs_inference,[],[27,135,158,88,127,118,159,102,4,7,6,2,3])).
% 0.70/0.80 cnf(202,plain,
% 0.70/0.80 (P1(f4(f4(f4(x2021,x2022),x2021),a3),a6)),
% 0.70/0.80 inference(scs_inference,[],[27,178,191,188,15,4,7])).
% 0.70/0.80 cnf(207,plain,
% 0.70/0.80 (~E(a6,f4(f4(a1,a5),f4(x2071,a3)))),
% 0.70/0.80 inference(scs_inference,[],[30,27,195,178,191,188,194,85,10,15,4,7,6,2,3])).
% 0.70/0.80 cnf(211,plain,
% 0.70/0.80 (P1(f4(f4(f4(x2111,x2112),x2111),a3),f4(a6,x2113))),
% 0.70/0.80 inference(scs_inference,[],[202,74,7])).
% 0.70/0.80 cnf(212,plain,
% 0.70/0.80 (P1(f4(f4(a6,a3),a6),f4(a6,f4(a6,a3)))),
% 0.70/0.80 inference(scs_inference,[],[30,202,176,74,7,6])).
% 0.70/0.80 cnf(213,plain,
% 0.70/0.80 (E(f4(x2131,f4(x2132,a3)),f4(x2131,a6))),
% 0.70/0.80 inference(rename_variables,[],[30])).
% 0.70/0.80 cnf(214,plain,
% 0.70/0.80 (~E(f4(a1,a5),f4(f4(x2141,x2141),f4(x2142,x2141)))),
% 0.70/0.80 inference(scs_inference,[],[30,155,202,176,74,7,6,2])).
% 0.70/0.80 cnf(218,plain,
% 0.70/0.80 (E(f4(x2181,a6),f4(x2181,f4(a6,x2182)))),
% 0.70/0.80 inference(scs_inference,[],[30,213,155,202,176,74,7,6,2,3,5])).
% 0.70/0.80 cnf(223,plain,
% 0.70/0.80 (P1(f4(f4(a6,a3),a6),f4(f4(a6,a3),f4(a6,a3)))),
% 0.70/0.80 inference(scs_inference,[],[30,27,109,171,7,6])).
% 0.70/0.80 cnf(224,plain,
% 0.70/0.80 (E(f4(x2241,f4(x2242,a3)),f4(x2241,a6))),
% 0.70/0.80 inference(rename_variables,[],[30])).
% 0.70/0.80 cnf(226,plain,
% 0.70/0.80 (E(f4(f4(f4(x2261,x2262),x2261),f4(x2263,a3)),f4(a6,a6))),
% 0.70/0.80 inference(scs_inference,[],[30,224,27,180,187,109,171,7,6,2,3])).
% 0.70/0.80 cnf(229,plain,
% 0.70/0.80 (E(f4(f4(a6,a6),f4(a6,x2291)),a6)),
% 0.70/0.80 inference(scs_inference,[],[30,224,27,180,187,143,109,171,7,6,2,3,14])).
% 0.70/0.80 cnf(233,plain,
% 0.70/0.80 (E(f4(f4(f4(a6,a6),f4(a6,x2331)),x2332),f4(a6,x2332))),
% 0.70/0.80 inference(scs_inference,[],[30,224,27,180,187,143,212,109,171,7,6,2,3,14,16,4])).
% 0.70/0.80 cnf(234,plain,
% 0.70/0.80 (P1(f4(f4(a6,a3),a6),f4(f4(a6,a3),a6))),
% 0.70/0.80 inference(scs_inference,[],[30,223,7])).
% 0.70/0.80 cnf(239,plain,
% 0.70/0.80 (~E(f4(a1,a5),f4(f4(f4(x2391,x2392),x2391),f4(x2393,a3)))),
% 0.70/0.80 inference(scs_inference,[],[30,223,226,114,165,90,11,7,6,2,3])).
% 0.70/0.80 cnf(241,plain,
% 0.70/0.80 (E(f4(f4(f4(x2411,x2412),x2411),a3),f4(a6,x2413))+~P1(f4(a6,x2413),f4(f4(f4(x2411,x2412),x2411),a3))),
% 0.70/0.80 inference(scs_inference,[],[30,223,226,211,114,165,90,11,7,6,2,3,16])).
% 0.70/0.80 cnf(243,plain,
% 0.70/0.80 (~P1(f4(a1,a2),a6)),
% 0.70/0.80 inference(scs_inference,[],[168,10,16])).
% 0.70/0.80 cnf(246,plain,
% 0.70/0.80 (P1(f4(f4(a6,a3),a6),f4(a6,a6))),
% 0.70/0.80 inference(scs_inference,[],[31,234,168,10,16,7])).
% 0.70/0.80 cnf(247,plain,
% 0.70/0.80 (E(f4(f4(x2471,a3),x2472),f4(a6,x2472))),
% 0.70/0.80 inference(rename_variables,[],[31])).
% 0.70/0.80 cnf(248,plain,
% 0.70/0.80 (P1(f4(a6,a6),f4(f4(a6,a3),a6))),
% 0.70/0.80 inference(scs_inference,[],[31,247,234,168,10,16,7,6])).
% 0.70/0.80 cnf(254,plain,
% 0.70/0.80 (~P1(f4(a1,a2),f4(x2541,a3))),
% 0.70/0.80 inference(scs_inference,[],[27,243,7])).
% 0.70/0.80 cnf(258,plain,
% 0.70/0.80 (E(f4(x2581,a3),f4(x2582,a3))),
% 0.70/0.80 inference(scs_inference,[],[27,239,243,49,78,39,7,6,2,3])).
% 0.70/0.80 cnf(259,plain,
% 0.70/0.80 (E(f4(x2591,f4(f4(a6,a6),f4(a6,x2592))),f4(x2591,a6))),
% 0.70/0.80 inference(scs_inference,[],[27,239,243,229,49,78,39,7,6,2,3,5])).
% 0.70/0.80 cnf(260,plain,
% 0.70/0.80 (E(f4(a6,x2601),f4(f4(f4(x2602,x2603),x2602),a3))+~P1(f4(a6,x2601),f4(f4(f4(x2602,x2603),x2602),a3))),
% 0.70/0.80 inference(scs_inference,[],[27,239,243,229,211,49,78,39,7,6,2,3,5,16])).
% 0.70/0.80 cnf(263,plain,
% 0.70/0.80 (P1(f4(a6,a6),f4(f4(a6,a3),f4(f4(x2631,x2632),x2631)))),
% 0.70/0.80 inference(scs_inference,[],[248,157,7])).
% 0.70/0.80 cnf(264,plain,
% 0.70/0.80 (E(f4(x2641,a6),f4(x2641,f4(f4(x2642,x2643),x2642)))),
% 0.70/0.80 inference(rename_variables,[],[157])).
% 0.70/0.80 cnf(265,plain,
% 0.70/0.80 (~E(f4(a6,a3),f4(a1,a2))),
% 0.70/0.80 inference(scs_inference,[],[248,157,254,161,7,6])).
% 0.70/0.80 cnf(275,plain,
% 0.70/0.80 (E(f4(f4(x2751,a3),x2752),f4(f4(x2753,a3),x2752))),
% 0.70/0.80 inference(scs_inference,[],[248,157,264,233,214,254,258,161,212,7,6,2,3,14,16,4])).
% 0.70/0.80 cnf(276,plain,
% 0.70/0.80 (~P1(f4(f4(a1,a5),f4(x2761,a3)),a6)),
% 0.70/0.80 inference(scs_inference,[],[207,10,16])).
% 0.70/0.80 cnf(279,plain,
% 0.70/0.80 (P1(f4(f4(a6,a3),f4(a6,a3)),f4(a6,a6))),
% 0.70/0.80 inference(scs_inference,[],[30,207,176,10,16,7])).
% 0.70/0.80 cnf(280,plain,
% 0.70/0.80 (E(f4(x2801,f4(x2802,a3)),f4(x2801,a6))),
% 0.70/0.80 inference(rename_variables,[],[30])).
% 0.70/0.80 cnf(281,plain,
% 0.70/0.80 (P1(f4(f4(x2811,a3),a6),f4(f4(x2812,x2813),a3))),
% 0.70/0.80 inference(scs_inference,[],[30,280,207,99,176,10,16,7,6])).
% 0.70/0.80 cnf(283,plain,
% 0.70/0.80 (~E(f4(a1,a2),f4(a6,a3))),
% 0.70/0.80 inference(scs_inference,[],[30,280,265,207,99,176,10,16,7,6,2])).
% 0.70/0.80 cnf(284,plain,
% 0.70/0.80 (~E(f4(f4(x2841,x2842),x2841),f4(f4(a1,a5),f4(a2,a5)))),
% 0.70/0.80 inference(scs_inference,[],[30,280,170,265,207,99,176,102,10,16,7,6,2,3])).
% 0.70/0.80 cnf(285,plain,
% 0.70/0.80 (E(f4(f4(a6,a6),a3),f4(f4(x2851,a3),a6))),
% 0.70/0.80 inference(scs_inference,[],[281,88,16])).
% 0.70/0.80 cnf(289,plain,
% 0.70/0.80 (~P1(f4(f4(a1,a5),f4(a2,a5)),f4(x2891,a3))),
% 0.70/0.80 inference(scs_inference,[],[27,36,281,88,16,7])).
% 0.70/0.80 cnf(290,plain,
% 0.70/0.80 (P1(f4(a6,f4(a6,a3)),f4(a6,a6))),
% 0.70/0.80 inference(scs_inference,[],[27,36,31,279,281,88,16,7,6])).
% 0.70/0.80 cnf(291,plain,
% 0.70/0.80 (E(f4(f4(x2911,a3),x2912),f4(a6,x2912))),
% 0.70/0.80 inference(rename_variables,[],[31])).
% 0.70/0.80 cnf(293,plain,
% 0.70/0.80 (E(f4(f4(x2931,a3),f4(f4(a6,a6),f4(a6,x2932))),f4(a6,a6))),
% 0.70/0.80 inference(scs_inference,[],[27,36,31,291,279,259,281,88,16,7,6,2,3])).
% 0.70/0.80 cnf(296,plain,
% 0.70/0.80 (~E(f4(f4(f4(a1,a5),f4(a2,a5)),a6),a6)),
% 0.70/0.80 inference(scs_inference,[],[27,36,31,291,279,259,281,88,16,7,6,2,3,15])).
% 0.70/0.80 cnf(302,plain,
% 0.70/0.80 (P1(f4(a6,a6),f4(f4(x3021,a3),f4(f4(x3022,x3023),x3022)))),
% 0.70/0.80 inference(scs_inference,[],[263,275,281,88,16,7])).
% 0.70/0.80 cnf(304,plain,
% 0.70/0.80 (~P1(f4(f4(a1,a5),a6),a6)),
% 0.70/0.80 inference(scs_inference,[],[263,275,218,276,281,88,16,7,6])).
% 0.70/0.80 cnf(307,plain,
% 0.70/0.80 (~E(f4(f4(a1,a5),f4(a2,a5)),f4(f4(x3071,x3072),x3071))),
% 0.70/0.80 inference(scs_inference,[],[263,284,275,218,276,281,88,16,7,6,2])).
% 0.70/0.80 cnf(308,plain,
% 0.70/0.80 (~E(f4(f4(f4(a1,a5),f4(a2,a5)),a6),f4(x3081,a3))),
% 0.70/0.80 inference(scs_inference,[],[27,263,284,275,218,296,276,281,88,16,7,6,2,3])).
% 0.70/0.80 cnf(311,plain,
% 0.70/0.80 (~E(f4(f4(a1,a5),f4(a2,a5)),f4(f4(x3111,x3112),x3111))),
% 0.70/0.80 inference(rename_variables,[],[307])).
% 0.70/0.80 cnf(316,plain,
% 0.70/0.80 (E(f4(x3161,f4(x3162,a3)),f4(x3161,a6))),
% 0.70/0.80 inference(rename_variables,[],[30])).
% 0.70/0.80 cnf(317,plain,
% 0.70/0.80 (P1(f4(a6,a6),f4(f4(x3171,a3),a3))),
% 0.70/0.80 inference(scs_inference,[],[30,302,293,307,88,11,16,7,6])).
% 0.70/0.80 cnf(318,plain,
% 0.70/0.80 (E(f4(f4(x3181,a3),f4(f4(a6,a6),f4(a6,x3182))),f4(a6,a6))),
% 0.70/0.80 inference(rename_variables,[],[293])).
% 0.70/0.80 cnf(320,plain,
% 0.70/0.80 (~E(f4(f4(a1,a5),f4(a2,a5)),f4(f4(a6,x3201),f4(x3202,a3)))),
% 0.70/0.80 inference(scs_inference,[],[30,316,302,293,307,311,88,11,16,7,6,3])).
% 0.70/0.80 cnf(324,plain,
% 0.70/0.80 (E(f4(f4(f4(a6,a3),a6),f4(a6,a6)),a6)),
% 0.70/0.80 inference(scs_inference,[],[30,316,246,302,293,318,307,311,88,11,16,7,6,3,2,14])).
% 0.70/0.80 cnf(327,plain,
% 0.70/0.80 (P1(f4(a6,a6),f4(f4(x3271,a3),a3))),
% 0.70/0.80 inference(rename_variables,[],[317])).
% 0.70/0.80 cnf(338,plain,
% 0.70/0.80 (E(f4(f4(x3381,a3),x3382),f4(a6,x3382))),
% 0.70/0.80 inference(rename_variables,[],[31])).
% 0.70/0.80 cnf(340,plain,
% 0.70/0.80 (E(f4(f4(a6,a6),a3),f4(a6,a6))),
% 0.70/0.80 inference(scs_inference,[],[36,31,338,320,317,327,285,324,223,131,99,260,241,16,7,6,2,3])).
% 0.70/0.80 cnf(347,plain,
% 0.70/0.80 (P1(f4(f4(f4(x3471,x3472),x3471),a3),f4(x3473,a3))),
% 0.70/0.80 inference(scs_inference,[],[39,202,131,99,16,7])).
% 0.70/0.80 cnf(350,plain,
% 0.70/0.80 (E(f4(a6,a6),f4(f4(a6,a6),a3))),
% 0.70/0.80 inference(scs_inference,[],[39,340,304,108,202,131,99,16,7,6,2])).
% 0.70/0.80 cnf(351,plain,
% 0.70/0.80 (~E(f4(a1,a2),f4(f4(x3511,a3),a3))),
% 0.70/0.80 inference(scs_inference,[],[31,39,340,283,304,108,202,131,99,16,7,6,2,3])).
% 0.70/0.80 cnf(353,plain,
% 0.70/0.80 (~E(f4(f4(f4(a1,a5),f4(a2,a5)),f4(x3531,a3)),a6)),
% 0.70/0.80 inference(scs_inference,[],[31,39,340,283,289,304,108,202,131,99,16,7,6,2,3,15])).
% 0.70/0.80 cnf(365,plain,
% 0.70/0.80 ($false),
% 0.70/0.80 inference(scs_inference,[],[31,39,350,290,308,347,351,353,8,10,16,7,6,3,2,14]),
% 0.70/0.80 ['proof']).
% 0.70/0.80 % SZS output end Proof
% 0.70/0.80 % Total time :0.180000s
%------------------------------------------------------------------------------