TSTP Solution File: HEN003-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : HEN003-4 : 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 : n031.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 01:54:01 EDT 2023
% Result : Unsatisfiable 0.69s 0.81s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN003-4 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n031.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 : Thu Aug 24 13:47:21 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.69/0.81 %-------------------------------------------
% 0.69/0.81 % File :CSE---1.6
% 0.69/0.81 % Problem :theBenchmark
% 0.69/0.81 % Transform :cnf
% 0.69/0.81 % Format :tptp:raw
% 0.69/0.81 % Command :java -jar mcs_scs.jar %d %s
% 0.69/0.81
% 0.69/0.81 % Result :Theorem 0.200000s
% 0.69/0.81 % Output :CNFRefutation 0.200000s
% 0.69/0.81 %-------------------------------------------
% 0.69/0.81 %--------------------------------------------------------------------------
% 0.69/0.81 % File : HEN003-4 : TPTP v8.1.2. Released v1.0.0.
% 0.69/0.81 % Domain : Henkin Models
% 0.69/0.81 % Problem : X/X = zero
% 0.69/0.81 % Version : [MOW76] axioms : Augmented.
% 0.69/0.81 % English :
% 0.69/0.81
% 0.69/0.81 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.69/0.81 % Source : [ANL]
% 0.69/0.81 % Names : hp3.ver2.in [ANL]
% 0.69/0.81
% 0.69/0.81 % Status : Unsatisfiable
% 0.69/0.81 % Rating : 0.00 v6.0.0, 0.11 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.14 v5.0.0, 0.29 v4.1.0, 0.11 v4.0.1, 0.17 v3.7.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0, 0.14 v2.5.0, 0.00 v2.2.1, 0.11 v2.2.0, 0.14 v2.1.0, 0.20 v2.0.0
% 0.69/0.81 % Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 4 RR)
% 0.69/0.81 % Number of literals : 14 ( 6 equ; 5 neg)
% 0.69/0.81 % Maximal clause size : 3 ( 1 avg)
% 0.69/0.81 % Maximal term depth : 3 ( 1 avg)
% 0.69/0.81 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 0.69/0.81 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 0.69/0.81 % Number of variables : 15 ( 5 sgn)
% 0.69/0.81 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.69/0.81
% 0.69/0.81 % Comments :
% 0.69/0.81 %--------------------------------------------------------------------------
% 0.69/0.81 %----Include Henkin model axioms for equality formulation
% 0.69/0.81 include('Axioms/HEN002-0.ax').
% 0.69/0.81 %--------------------------------------------------------------------------
% 0.69/0.81 cnf(everything_divide_id_is_zero,axiom,
% 0.69/0.81 divide(X,identity) = zero ).
% 0.69/0.81
% 0.69/0.81 cnf(zero_divide_anything_is_zero,axiom,
% 0.69/0.81 divide(zero,X) = zero ).
% 0.69/0.81
% 0.69/0.81 cnf(prove_x_divide_x_is_zero,negated_conjecture,
% 0.69/0.81 divide(a,a) != zero ).
% 0.69/0.81
% 0.69/0.81 %--------------------------------------------------------------------------
% 0.69/0.81 %-------------------------------------------
% 0.69/0.81 % Proof found
% 0.69/0.81 % SZS status Theorem for theBenchmark
% 0.69/0.81 % SZS output start Proof
% 0.69/0.81 %ClaNum:17(EqnAxiom:7)
% 0.69/0.81 %VarNum:28(SingletonVarNum:15)
% 0.69/0.81 %MaxLitNum:3
% 0.69/0.81 %MaxfuncDepth:2
% 0.69/0.81 %SharedTerms:5
% 0.69/0.81 %goalClause: 14
% 0.69/0.81 %singleGoalClaCount:1
% 0.69/0.81 [14]~E(f2(a3,a3),a4)
% 0.69/0.81 [10]P1(x101,a1)
% 0.69/0.81 [11]P1(a4,x111)
% 0.69/0.82 [8]E(f2(x81,a1),a4)
% 0.69/0.82 [9]E(f2(a4,x91),a4)
% 0.69/0.82 [12]P1(f2(x121,x122),x121)
% 0.69/0.82 [13]P1(f2(f2(x131,x132),f2(x133,x132)),f2(f2(x131,x133),x132))
% 0.69/0.82 [15]~P1(x151,x152)+E(f2(x151,x152),a4)
% 0.69/0.82 [16]P1(x161,x162)+~E(f2(x161,x162),a4)
% 0.69/0.82 [17]~P1(x172,x171)+~P1(x171,x172)+E(x171,x172)
% 0.69/0.82 %EqnAxiom
% 0.69/0.82 [1]E(x11,x11)
% 0.69/0.82 [2]E(x22,x21)+~E(x21,x22)
% 0.69/0.82 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.69/0.82 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.69/0.82 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.69/0.82 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 0.69/0.82 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 0.69/0.82
% 0.69/0.82 %-------------------------------------------
% 0.69/0.82 cnf(18,plain,
% 0.69/0.82 (E(a4,f2(x181,a1))),
% 0.69/0.82 inference(scs_inference,[],[8,2])).
% 0.69/0.82 cnf(19,plain,
% 0.69/0.82 (~P1(a3,a3)),
% 0.69/0.82 inference(scs_inference,[],[14,8,2,15])).
% 0.69/0.82 cnf(21,plain,
% 0.69/0.82 (~E(a1,a3)),
% 0.69/0.82 inference(scs_inference,[],[14,10,8,2,15,7])).
% 0.69/0.82 cnf(23,plain,
% 0.69/0.82 (~E(a4,a3)),
% 0.69/0.82 inference(scs_inference,[],[14,10,11,8,2,15,7,6])).
% 0.69/0.82 cnf(24,plain,
% 0.69/0.82 (P1(a4,x241)),
% 0.69/0.82 inference(rename_variables,[],[11])).
% 0.69/0.82 cnf(25,plain,
% 0.69/0.82 (~E(f2(a3,a3),f2(x251,a1))),
% 0.69/0.82 inference(scs_inference,[],[14,10,11,8,2,15,7,6,3])).
% 0.69/0.82 cnf(26,plain,
% 0.69/0.82 (~P1(a3,a4)),
% 0.69/0.82 inference(scs_inference,[],[14,10,11,24,8,2,15,7,6,3,17])).
% 0.69/0.82 cnf(29,plain,
% 0.69/0.82 (E(f2(x291,f2(x292,a1)),f2(x291,a4))),
% 0.69/0.82 inference(scs_inference,[],[14,10,11,24,8,2,15,7,6,3,17,5])).
% 0.69/0.82 cnf(30,plain,
% 0.69/0.82 (E(f2(f2(x301,a1),x302),f2(a4,x302))),
% 0.69/0.82 inference(scs_inference,[],[14,10,11,24,8,2,15,7,6,3,17,5,4])).
% 0.69/0.82 cnf(31,plain,
% 0.69/0.82 (~E(f2(a3,a4),a4)),
% 0.69/0.82 inference(scs_inference,[],[14,10,11,24,8,2,15,7,6,3,17,5,4,16])).
% 0.69/0.82 cnf(33,plain,
% 0.69/0.82 (E(f2(f2(x331,x332),x331),a4)),
% 0.69/0.82 inference(scs_inference,[],[12,15])).
% 0.69/0.82 cnf(35,plain,
% 0.69/0.82 (~P1(f2(a3,a3),a4)),
% 0.69/0.82 inference(scs_inference,[],[14,12,11,15,17])).
% 0.69/0.82 cnf(41,plain,
% 0.69/0.82 (~P1(a3,f2(a4,x411))),
% 0.69/0.82 inference(scs_inference,[],[14,12,9,11,25,26,15,17,2,5,7])).
% 0.69/0.82 cnf(45,plain,
% 0.69/0.82 (~E(a3,a4)),
% 0.69/0.82 inference(scs_inference,[],[14,12,9,11,25,19,26,15,17,2,5,7,3,6,4])).
% 0.69/0.82 cnf(46,plain,
% 0.69/0.82 (~P1(a1,a3)),
% 0.69/0.82 inference(scs_inference,[],[10,21,17])).
% 0.69/0.82 cnf(50,plain,
% 0.69/0.82 (E(a4,f2(a4,x501))),
% 0.69/0.82 inference(scs_inference,[],[18,10,9,21,17,4,2])).
% 0.69/0.82 cnf(51,plain,
% 0.69/0.82 (E(f2(x511,a4),f2(x511,f2(x512,a1)))),
% 0.69/0.82 inference(scs_inference,[],[18,10,9,21,17,4,2,5])).
% 0.69/0.82 cnf(52,plain,
% 0.69/0.82 (E(f2(x521,a1),f2(x522,a1))),
% 0.69/0.82 inference(scs_inference,[],[8,18,10,9,21,17,4,2,5,3])).
% 0.69/0.82 cnf(53,plain,
% 0.69/0.82 (P1(f2(f2(x531,a1),a4),f2(f2(x531,x532),a1))),
% 0.69/0.82 inference(scs_inference,[],[8,18,13,10,9,29,21,17,4,2,5,3,6])).
% 0.69/0.82 cnf(55,plain,
% 0.69/0.82 (P1(f2(f2(x551,x552),f2(x553,x552)),f2(f2(x551,x553),x552))),
% 0.69/0.82 inference(rename_variables,[],[13])).
% 0.69/0.82 cnf(56,plain,
% 0.69/0.82 (P1(f2(f2(x561,a1),f2(x562,a1)),a4)),
% 0.69/0.82 inference(scs_inference,[],[8,18,13,55,10,9,29,21,17,4,2,5,3,6,7])).
% 0.69/0.82 cnf(59,plain,
% 0.69/0.82 (E(f2(f2(f2(x591,a1),f2(x592,a1)),a4),a4)),
% 0.69/0.82 inference(scs_inference,[],[8,18,13,55,10,9,29,21,17,4,2,5,3,6,7,15])).
% 0.69/0.82 cnf(61,plain,
% 0.69/0.82 (~P1(f2(a3,a4),a4)),
% 0.69/0.82 inference(scs_inference,[],[11,31,17])).
% 0.69/0.82 cnf(65,plain,
% 0.69/0.82 (P1(f2(f2(x651,x652),f2(x653,x652)),f2(f2(x651,x653),x652))),
% 0.69/0.82 inference(rename_variables,[],[13])).
% 0.69/0.82 cnf(66,plain,
% 0.69/0.82 (E(f2(f2(x661,a1),x662),f2(a4,x662))),
% 0.69/0.82 inference(rename_variables,[],[30])).
% 0.69/0.82 cnf(67,plain,
% 0.69/0.82 (~E(f2(a3,a4),f2(x671,a1))),
% 0.69/0.82 inference(scs_inference,[],[8,13,11,30,31,17,6,3])).
% 0.69/0.82 cnf(68,plain,
% 0.69/0.82 (~E(a4,a1)),
% 0.69/0.82 inference(scs_inference,[],[8,13,11,30,31,17,6,3,5])).
% 0.69/0.82 cnf(69,plain,
% 0.69/0.82 (P1(f2(f2(x691,x692),f2(a1,x692)),f2(a4,x692))),
% 0.69/0.82 inference(scs_inference,[],[8,13,65,11,30,66,31,17,6,3,5,7])).
% 0.69/0.82 cnf(72,plain,
% 0.69/0.82 (E(f2(f2(x721,a1),f2(x722,a1)),a4)),
% 0.69/0.82 inference(scs_inference,[],[11,56,17])).
% 0.69/0.82 cnf(75,plain,
% 0.69/0.82 (~E(f2(f2(a4,x751),x752),a3)),
% 0.69/0.82 inference(scs_inference,[],[12,11,56,41,17,6])).
% 0.69/0.82 cnf(77,plain,
% 0.69/0.82 (E(a4,f2(f2(x771,x772),x771))),
% 0.69/0.82 inference(scs_inference,[],[12,11,33,56,41,17,6,2])).
% 0.69/0.82 cnf(78,plain,
% 0.69/0.82 (~E(a3,f2(a4,x781))),
% 0.69/0.82 inference(scs_inference,[],[9,12,11,45,33,56,41,17,6,2,3])).
% 0.69/0.82 cnf(79,plain,
% 0.69/0.82 (~P1(f2(a3,a3),f2(a4,x791))),
% 0.69/0.82 inference(scs_inference,[],[9,12,11,45,33,56,35,41,17,6,2,3,7])).
% 0.69/0.82 cnf(80,plain,
% 0.69/0.82 (E(f2(x801,f2(a4,x802)),f2(x801,a4))),
% 0.69/0.82 inference(scs_inference,[],[9,12,11,45,33,56,35,41,17,6,2,3,7,5])).
% 0.69/0.82 cnf(81,plain,
% 0.69/0.82 (~E(f2(f2(a3,a3),a4),a4)),
% 0.69/0.82 inference(scs_inference,[],[9,12,11,45,33,56,35,41,17,6,2,3,7,5,16])).
% 0.69/0.82 cnf(85,plain,
% 0.69/0.82 (E(a4,f2(f2(x851,a1),f2(x852,a1)))),
% 0.69/0.82 inference(scs_inference,[],[11,72,56,16,17])).
% 0.69/0.82 cnf(88,plain,
% 0.69/0.82 (~E(f2(x881,a1),f2(a3,a4))),
% 0.69/0.82 inference(scs_inference,[],[11,67,72,56,16,17,2])).
% 0.69/0.82 cnf(89,plain,
% 0.69/0.82 (E(f2(a4,x891),f2(x892,a1))),
% 0.69/0.82 inference(scs_inference,[],[9,18,11,67,72,56,16,17,2,3])).
% 0.69/0.82 cnf(90,plain,
% 0.69/0.82 (P1(f2(f2(a4,x901),x902),a4)),
% 0.69/0.82 inference(scs_inference,[],[9,18,12,11,67,72,56,16,17,2,3,7])).
% 0.69/0.82 cnf(92,plain,
% 0.69/0.82 (~E(a1,a4)),
% 0.69/0.82 inference(scs_inference,[],[9,18,12,11,67,72,56,16,17,2,3,7,5])).
% 0.69/0.82 cnf(93,plain,
% 0.69/0.82 (~E(f2(f2(a3,a3),f2(a4,x931)),a4)),
% 0.69/0.82 inference(scs_inference,[],[79,16])).
% 0.69/0.82 cnf(97,plain,
% 0.69/0.82 (~E(f2(x971,a1),f2(a3,a4))),
% 0.69/0.82 inference(rename_variables,[],[88])).
% 0.69/0.82 cnf(99,plain,
% 0.69/0.82 (E(f2(f2(x991,a1),x992),f2(f2(x993,a1),x992))),
% 0.69/0.82 inference(scs_inference,[],[12,52,79,88,16,17,4])).
% 0.69/0.82 cnf(101,plain,
% 0.69/0.82 (E(f2(x1011,a4),f2(x1011,f2(a4,x1012)))),
% 0.69/0.82 inference(scs_inference,[],[12,80,52,79,88,16,17,4,5,2])).
% 0.69/0.82 cnf(102,plain,
% 0.69/0.82 (~E(f2(x1021,a1),f2(a3,f2(a4,x1022)))),
% 0.69/0.82 inference(scs_inference,[],[12,80,52,79,88,97,16,17,4,5,2,3])).
% 0.69/0.82 cnf(104,plain,
% 0.69/0.82 (P1(f2(f2(x1041,a4),f2(x1042,a4)),f2(f2(x1041,x1042),f2(x1043,a1)))),
% 0.69/0.82 inference(scs_inference,[],[13,12,51,80,52,79,88,97,16,17,4,5,2,3,7])).
% 0.69/0.82 cnf(107,plain,
% 0.69/0.82 (E(f2(f2(f2(x1071,x1072),f2(a1,x1072)),f2(a4,x1072)),a4)),
% 0.69/0.82 inference(scs_inference,[],[13,12,69,51,80,52,79,88,97,16,17,4,5,2,3,7,15])).
% 0.69/0.83 cnf(109,plain,
% 0.69/0.83 (~P1(a1,a4)),
% 0.69/0.83 inference(scs_inference,[],[10,68,17])).
% 0.69/0.83 cnf(112,plain,
% 0.69/0.83 (~E(a1,f2(a4,x1121))),
% 0.69/0.83 inference(scs_inference,[],[10,68,102,17,5])).
% 0.69/0.83 cnf(115,plain,
% 0.69/0.83 (~P1(f2(a3,a4),f2(f2(f2(x1151,x1152),f2(a1,x1152)),f2(a4,x1152)))),
% 0.69/0.83 inference(scs_inference,[],[10,18,23,68,102,107,61,17,5,3,7])).
% 0.69/0.83 cnf(117,plain,
% 0.69/0.83 (E(a4,f2(f2(a4,x1171),x1172))),
% 0.69/0.83 inference(scs_inference,[],[11,90,17])).
% 0.69/0.83 cnf(118,plain,
% 0.69/0.83 (P1(a4,x1181)),
% 0.69/0.83 inference(rename_variables,[],[11])).
% 0.69/0.83 cnf(120,plain,
% 0.69/0.83 (P1(f2(x1201,a1),x1202)),
% 0.69/0.83 inference(scs_inference,[],[11,118,18,90,17,6])).
% 0.69/0.83 cnf(122,plain,
% 0.69/0.83 (E(f2(f2(x1221,a1),a4),f2(f2(x1222,a1),f2(a4,x1223)))),
% 0.69/0.83 inference(scs_inference,[],[11,118,18,99,101,89,90,17,6,5,3])).
% 0.69/0.83 cnf(125,plain,
% 0.69/0.83 (E(f2(x1251,a1),f2(a4,x1252))),
% 0.69/0.83 inference(scs_inference,[],[11,118,18,99,101,89,90,17,6,5,3,2])).
% 0.69/0.83 cnf(126,plain,
% 0.69/0.83 (~P1(f2(f2(a3,a3),a4),a4)),
% 0.69/0.83 inference(scs_inference,[],[11,81,17])).
% 0.69/0.83 cnf(136,plain,
% 0.69/0.83 (E(f2(f2(x1361,a1),x1362),f2(x1361,a1))),
% 0.69/0.83 inference(scs_inference,[],[12,120,17])).
% 0.69/0.83 cnf(137,plain,
% 0.69/0.83 (P1(f2(x1371,x1372),x1371)),
% 0.69/0.83 inference(rename_variables,[],[12])).
% 0.69/0.83 cnf(138,plain,
% 0.69/0.83 (P1(f2(x1381,a1),x1382)),
% 0.69/0.83 inference(rename_variables,[],[120])).
% 0.69/0.83 cnf(141,plain,
% 0.69/0.83 (P1(f2(x1411,x1412),x1411)),
% 0.69/0.83 inference(rename_variables,[],[12])).
% 0.69/0.83 cnf(142,plain,
% 0.69/0.83 (P1(f2(a4,x1421),f2(x1422,a1))),
% 0.69/0.83 inference(scs_inference,[],[12,137,141,18,46,120,17,6,7])).
% 0.69/0.83 cnf(144,plain,
% 0.69/0.83 (E(f2(x1441,f2(x1442,a1)),f2(x1441,f2(a4,x1443)))),
% 0.69/0.83 inference(scs_inference,[],[12,137,141,18,46,120,125,17,6,7,5])).
% 0.69/0.83 cnf(147,plain,
% 0.69/0.83 (E(f2(f2(x1471,a1),x1472),a4)),
% 0.69/0.83 inference(scs_inference,[],[12,137,141,18,46,120,138,122,92,125,59,17,6,7,5,3,2,15])).
% 0.69/0.83 cnf(151,plain,
% 0.69/0.83 (E(f2(f2(x1511,a1),x1512),f2(f2(a4,x1513),x1512))),
% 0.69/0.83 inference(scs_inference,[],[12,137,141,18,46,120,138,122,92,125,59,17,6,7,5,3,2,15,16,4])).
% 0.69/0.83 cnf(152,plain,
% 0.69/0.83 (E(f2(f2(x1521,x1522),a1),f2(f2(x1521,a1),f2(x1522,a1)))),
% 0.69/0.83 inference(scs_inference,[],[13,120,17])).
% 0.69/0.83 cnf(156,plain,
% 0.69/0.83 (P1(f2(f2(a4,x1561),x1562),f2(x1563,a1))),
% 0.69/0.83 inference(scs_inference,[],[12,13,151,120,17,6])).
% 0.69/0.83 cnf(158,plain,
% 0.69/0.83 (P1(f2(x1581,x1582),x1581)),
% 0.69/0.83 inference(rename_variables,[],[12])).
% 0.69/0.83 cnf(161,plain,
% 0.69/0.83 (~E(f2(x1611,a1),f2(a3,a3))),
% 0.69/0.83 inference(scs_inference,[],[12,158,25,13,151,115,120,17,6,7,2])).
% 0.69/0.83 cnf(165,plain,
% 0.69/0.83 (E(f2(f2(x1651,a1),f2(x1652,a1)),f2(f2(x1651,x1652),a1))),
% 0.69/0.83 inference(scs_inference,[],[13,120,17])).
% 0.69/0.83 cnf(169,plain,
% 0.69/0.83 (~E(f2(f2(a4,x1691),x1692),f2(a3,a3))),
% 0.69/0.83 inference(scs_inference,[],[13,156,79,120,17,6])).
% 0.69/0.83 cnf(172,plain,
% 0.69/0.83 (~P1(a3,f2(f2(x1721,a1),x1722))),
% 0.69/0.83 inference(scs_inference,[],[13,26,156,147,79,120,17,6,7])).
% 0.69/0.83 cnf(173,plain,
% 0.69/0.83 (E(f2(x1731,a1),f2(f2(x1731,a1),x1732))),
% 0.69/0.83 inference(scs_inference,[],[13,26,136,156,147,79,120,17,6,7,2])).
% 0.69/0.83 cnf(178,plain,
% 0.69/0.83 (~P1(f2(a3,a3),f2(x1781,a1))),
% 0.69/0.83 inference(scs_inference,[],[25,120,17])).
% 0.69/0.83 cnf(182,plain,
% 0.69/0.83 (E(f2(a4,x1821),f2(f2(f2(x1822,x1823),x1822),x1821))),
% 0.69/0.83 inference(scs_inference,[],[25,77,120,17,4])).
% 0.69/0.83 cnf(183,plain,
% 0.69/0.83 (~E(f2(f2(a4,x1831),x1832),a1)),
% 0.69/0.83 inference(scs_inference,[],[25,109,77,90,120,17,4,6])).
% 0.69/0.83 cnf(184,plain,
% 0.69/0.83 (P1(f2(f2(x1841,a1),f2(x1842,a1)),f2(f2(x1841,a1),f2(x1842,a1)))),
% 0.69/0.83 inference(scs_inference,[],[13,25,152,109,77,90,120,17,4,6,7])).
% 0.69/0.83 cnf(188,plain,
% 0.69/0.83 (~E(f2(f2(x1881,a1),x1882),f2(a3,a3))),
% 0.69/0.83 inference(scs_inference,[],[13,25,169,173,161,152,109,77,90,120,17,4,6,7,2,3])).
% 0.69/0.83 cnf(194,plain,
% 0.69/0.83 (P1(f2(f2(x1941,a1),a4),f2(f2(x1941,a1),f2(x1942,a1)))),
% 0.69/0.83 inference(scs_inference,[],[29,184,69,120,17,6])).
% 0.69/0.83 cnf(195,plain,
% 0.69/0.83 (E(f2(x1951,f2(x1952,a1)),f2(x1951,a4))),
% 0.69/0.83 inference(rename_variables,[],[29])).
% 0.69/0.83 cnf(197,plain,
% 0.69/0.83 (P1(f2(f2(x1971,a1),f2(x1972,a1)),f2(f2(x1971,a1),a4))),
% 0.69/0.83 inference(scs_inference,[],[29,195,184,117,69,120,17,6,5,7])).
% 0.69/0.83 cnf(203,plain,
% 0.69/0.83 (E(f2(f2(f2(x2031,x2032),x2031),x2033),f2(a4,x2033))),
% 0.69/0.83 inference(scs_inference,[],[29,195,184,182,165,117,99,69,120,17,6,5,7,3,2])).
% 0.69/0.83 cnf(204,plain,
% 0.69/0.83 (E(f2(f2(a4,x2041),f2(x2042,a1)),a4)),
% 0.69/0.83 inference(scs_inference,[],[29,195,184,182,165,142,117,99,69,120,17,6,5,7,3,2,15])).
% 0.69/0.83 cnf(206,plain,
% 0.69/0.83 (~E(f2(f2(a3,a3),f2(x2061,a1)),a4)),
% 0.69/0.83 inference(scs_inference,[],[29,195,184,182,178,165,142,117,99,69,120,17,6,5,7,3,2,15,16])).
% 0.69/0.83 cnf(217,plain,
% 0.69/0.83 (~E(f2(f2(a3,a3),f2(x2171,a1)),f2(f2(a4,x2172),f2(x2173,a1)))),
% 0.69/0.83 inference(scs_inference,[],[26,188,104,75,172,206,204,120,17,6,7,2,3])).
% 0.69/0.83 cnf(222,plain,
% 0.69/0.83 (E(f2(a4,x2221),f2(f2(f2(x2222,a1),f2(x2223,a1)),x2221))),
% 0.69/0.83 inference(scs_inference,[],[85,53,120,17,4])).
% 0.69/0.83 cnf(223,plain,
% 0.69/0.83 (~P1(f2(f2(a3,a3),f2(x2231,a1)),a4)),
% 0.69/0.83 inference(scs_inference,[],[29,126,85,53,120,17,4,6])).
% 0.69/0.83 cnf(225,plain,
% 0.69/0.83 (P1(f2(f2(x2251,a1),a4),f2(a4,f2(x2252,a1)))),
% 0.69/0.83 inference(scs_inference,[],[30,29,194,126,85,53,120,17,4,6,7])).
% 0.69/0.83 cnf(232,plain,
% 0.69/0.83 (P1(f2(a4,f2(x2321,a1)),f2(f2(x2322,a1),a4))),
% 0.69/0.83 inference(scs_inference,[],[30,197,53,120,17,6])).
% 0.69/0.83 cnf(233,plain,
% 0.69/0.83 (E(f2(f2(x2331,a1),x2332),f2(a4,x2332))),
% 0.69/0.83 inference(rename_variables,[],[30])).
% 0.69/0.83 cnf(234,plain,
% 0.69/0.83 (P1(f2(f2(x2341,a1),f2(x2342,a1)),f2(a4,a4))),
% 0.69/0.83 inference(scs_inference,[],[30,233,197,53,120,17,6,7])).
% 0.69/0.83 cnf(236,plain,
% 0.69/0.83 (E(f2(f2(x2361,a1),x2362),f2(a4,x2362))),
% 0.69/0.83 inference(rename_variables,[],[30])).
% 0.69/0.83 cnf(237,plain,
% 0.69/0.83 (E(f2(f2(x2371,a1),f2(x2372,a1)),f2(a4,a4))),
% 0.69/0.83 inference(scs_inference,[],[30,233,236,29,197,53,120,17,6,7,3])).
% 0.69/0.83 cnf(241,plain,
% 0.69/0.83 (E(f2(a4,x2411),f2(f2(a4,x2412),x2411))),
% 0.69/0.83 inference(scs_inference,[],[30,233,236,29,217,197,50,53,120,17,6,7,3,2,4])).
% 0.69/0.83 cnf(243,plain,
% 0.69/0.83 (P1(f2(f2(x2431,a1),a4),f2(a4,f2(x2432,a1)))),
% 0.69/0.83 inference(rename_variables,[],[225])).
% 0.69/0.83 cnf(247,plain,
% 0.69/0.83 (~P1(a3,f2(f2(x2471,x2472),x2471))),
% 0.69/0.83 inference(scs_inference,[],[26,225,243,232,33,41,17,6,7])).
% 0.69/0.83 cnf(255,plain,
% 0.69/0.83 (E(f2(x2551,f2(f2(x2552,x2553),x2552)),f2(x2551,a4))),
% 0.69/0.83 inference(scs_inference,[],[26,222,237,225,243,232,234,223,78,33,41,17,6,7,3,2,15,16,5])).
% 0.69/0.83 cnf(256,plain,
% 0.69/0.83 (~P1(a1,f2(f2(a4,x2561),x2562))),
% 0.69/0.83 inference(scs_inference,[],[183,10,17])).
% 0.69/0.83 cnf(261,plain,
% 0.69/0.83 (P1(f2(f2(x2611,a4),f2(x2612,a4)),f2(f2(x2611,x2612),f2(x2613,a1)))),
% 0.69/0.83 inference(rename_variables,[],[104])).
% 0.69/0.83 cnf(262,plain,
% 0.69/0.83 (P1(f2(f2(x2621,a4),f2(a1,a4)),f2(a4,f2(x2622,a1)))),
% 0.69/0.83 inference(scs_inference,[],[30,247,183,104,261,10,17,6,7])).
% 0.69/0.83 cnf(270,plain,
% 0.69/0.83 (P1(f2(a4,f2(a1,a4)),f2(a4,f2(x2701,a1)))),
% 0.69/0.83 inference(scs_inference,[],[203,262,225,232,17,6])).
% 0.69/0.83 cnf(273,plain,
% 0.69/0.83 (P1(f2(f2(f2(x2731,a1),a1),a4),a4)),
% 0.69/0.83 inference(scs_inference,[],[33,203,262,194,225,232,17,6,7])).
% 0.69/0.83 cnf(275,plain,
% 0.69/0.83 (E(f2(f2(x2751,x2752),x2751),a4)),
% 0.69/0.83 inference(rename_variables,[],[33])).
% 0.69/0.83 cnf(276,plain,
% 0.69/0.83 (E(f2(f2(x2761,x2762),x2761),f2(f2(a4,x2763),x2764))),
% 0.69/0.83 inference(scs_inference,[],[33,275,203,262,194,225,232,117,17,6,7,3])).
% 0.69/0.83 cnf(277,plain,
% 0.69/0.83 (E(f2(x2771,a4),f2(x2771,f2(f2(x2772,x2773),x2772)))),
% 0.69/0.83 inference(scs_inference,[],[33,275,203,255,262,194,225,232,117,17,6,7,3,2])).
% 0.69/0.83 cnf(283,plain,
% 0.69/0.83 (~P1(f2(f2(a3,a3),a4),f2(f2(x2831,x2832),x2831))),
% 0.69/0.83 inference(scs_inference,[],[33,93,126,262,79,11,17,6,7])).
% 0.69/0.83 cnf(284,plain,
% 0.69/0.83 (~E(f2(a3,a4),f2(f2(x2841,x2842),x2841))),
% 0.69/0.83 inference(scs_inference,[],[31,33,93,126,262,79,11,17,6,7,3])).
% 0.69/0.83 cnf(291,plain,
% 0.69/0.83 (~P1(f2(f2(a3,a3),f2(x2911,a1)),f2(f2(x2912,x2913),x2912))),
% 0.69/0.83 inference(scs_inference,[],[29,283,69,120,17,6])).
% 0.69/0.83 cnf(292,plain,
% 0.69/0.83 (E(f2(x2921,f2(x2922,a1)),f2(x2921,a4))),
% 0.69/0.83 inference(rename_variables,[],[29])).
% 0.69/0.83 cnf(293,plain,
% 0.69/0.83 (P1(f2(a4,f2(a1,a4)),f2(a4,a4))),
% 0.69/0.83 inference(scs_inference,[],[29,292,283,270,69,120,17,6,7])).
% 0.69/0.83 cnf(297,plain,
% 0.69/0.83 (E(f2(f2(a4,x2971),x2972),f2(f2(x2973,x2974),x2973))),
% 0.69/0.83 inference(scs_inference,[],[31,29,292,276,283,277,270,69,120,17,6,7,3,2])).
% 0.69/0.83 cnf(302,plain,
% 0.69/0.83 (E(f2(x3021,f2(f2(x3022,a1),x3023)),f2(x3021,a4))),
% 0.69/0.83 inference(scs_inference,[],[31,29,292,276,283,277,270,256,156,69,147,120,17,6,7,3,2,15,16,5])).
% 0.69/0.83 cnf(306,plain,
% 0.69/0.83 (P1(f2(f2(x3061,x3062),x3061),f2(a4,a4))),
% 0.69/0.83 inference(scs_inference,[],[297,273,234,11,17,6])).
% 0.69/0.83 cnf(309,plain,
% 0.69/0.83 (P1(f2(a4,f2(a1,a4)),f2(f2(a4,x3091),a4))),
% 0.69/0.83 inference(scs_inference,[],[297,241,293,273,234,11,17,6,7])).
% 0.69/0.83 cnf(311,plain,
% 0.69/0.83 (E(f2(f2(x3111,x3112),x3111),f2(a4,x3113))),
% 0.69/0.83 inference(scs_inference,[],[33,297,241,293,273,234,50,11,17,6,7,3])).
% 0.69/0.83 cnf(312,plain,
% 0.69/0.83 (~E(f2(f2(x3121,x3122),x3121),f2(a3,a4))),
% 0.69/0.83 inference(scs_inference,[],[33,284,297,241,293,273,234,50,11,17,6,7,3,2])).
% 0.69/0.83 cnf(316,plain,
% 0.69/0.83 (~E(f2(a4,f2(a1,a4)),f2(f2(a3,a3),f2(x3161,a1)))),
% 0.69/0.83 inference(scs_inference,[],[291,309,90,11,17,6])).
% 0.69/0.83 cnf(319,plain,
% 0.69/0.83 (~P1(f2(a3,a3),f2(f2(x3191,x3192),x3191))),
% 0.69/0.83 inference(scs_inference,[],[35,33,291,309,90,11,17,6,7])).
% 0.69/0.83 cnf(322,plain,
% 0.69/0.83 (E(f2(a4,x3221),f2(f2(x3222,x3223),x3222))),
% 0.69/0.83 inference(scs_inference,[],[35,30,33,291,311,309,112,90,11,17,6,7,3,2])).
% 0.69/0.83 cnf(323,plain,
% 0.69/0.83 (P1(f2(a4,x3231),x3232)),
% 0.69/0.83 inference(scs_inference,[],[35,30,33,291,311,309,112,90,11,17,6,7,3,2,16])).
% 0.69/0.83 cnf(327,plain,
% 0.69/0.83 (~P1(f2(a3,a4),f2(f2(a3,a4),a3))),
% 0.69/0.83 inference(scs_inference,[],[319,312,12,16,17])).
% 0.69/0.83 cnf(328,plain,
% 0.69/0.83 (~E(f2(f2(x3281,x3282),x3281),f2(a3,a4))),
% 0.69/0.83 inference(rename_variables,[],[312])).
% 0.69/0.83 cnf(332,plain,
% 0.69/0.83 (E(f2(x3321,f2(x3322,a1)),f2(x3321,a4))),
% 0.69/0.83 inference(rename_variables,[],[29])).
% 0.69/0.83 cnf(333,plain,
% 0.69/0.83 (P1(f2(f2(x3331,x3332),x3331),f2(f2(x3333,x3334),x3333))),
% 0.69/0.83 inference(scs_inference,[],[29,319,306,312,322,61,12,16,17,6,7])).
% 0.69/0.83 cnf(335,plain,
% 0.69/0.83 (~E(f2(f2(f2(x3351,a1),x3352),a4),f2(a3,a4))),
% 0.69/0.83 inference(scs_inference,[],[29,332,319,306,312,328,322,61,12,16,17,6,7,3])).
% 0.69/0.83 cnf(344,plain,
% 0.69/0.83 (P1(f2(f2(f2(x3441,a1),x3442),f2(a4,x3443)),f2(f2(x3444,x3445),x3444))),
% 0.69/0.83 inference(scs_inference,[],[333,144,323,335,262,4,17,6])).
% 0.69/0.83 cnf(363,plain,
% 0.69/0.83 (~P1(f2(a3,a4),f2(f2(a4,x3631),x3632))),
% 0.69/0.83 inference(scs_inference,[],[344,316,327,297,323,89,17,4,6,7])).
% 0.69/0.83 cnf(374,plain,
% 0.69/0.83 ($false),
% 0.69/0.83 inference(scs_inference,[],[363,302,283,323,69,13,16,17,6]),
% 0.69/0.83 ['proof']).
% 0.69/0.83 % SZS output end Proof
% 0.69/0.83 % Total time :0.200000s
%------------------------------------------------------------------------------