TSTP Solution File: HEN006-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : HEN006-4 : 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 : n014.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 01:54:04 EDT 2023
% Result : Unsatisfiable 0.76s 0.84s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN006-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 13:30:33 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.76/0.83 %-------------------------------------------
% 0.76/0.83 % File :CSE---1.6
% 0.76/0.83 % Problem :theBenchmark
% 0.76/0.83 % Transform :cnf
% 0.76/0.83 % Format :tptp:raw
% 0.76/0.83 % Command :java -jar mcs_scs.jar %d %s
% 0.76/0.83
% 0.76/0.83 % Result :Theorem 0.210000s
% 0.76/0.83 % Output :CNFRefutation 0.210000s
% 0.76/0.83 %-------------------------------------------
% 0.76/0.83 %--------------------------------------------------------------------------
% 0.76/0.83 % File : HEN006-4 : TPTP v8.1.2. Released v1.0.0.
% 0.76/0.83 % Domain : Henkin Models
% 0.76/0.83 % Problem : X/Y <= Z => X/Z <= Y
% 0.76/0.83 % Version : [MOW76] axioms : Augmented.
% 0.76/0.83 % English :
% 0.76/0.83
% 0.76/0.83 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.76/0.83 % Source : [TPTP]
% 0.76/0.83 % Names :
% 0.76/0.83
% 0.76/0.83 % Status : Unsatisfiable
% 0.76/0.83 % Rating : 0.00 v7.4.0, 0.11 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.00 v6.0.0, 0.11 v5.5.0, 0.19 v5.4.0, 0.20 v5.3.0, 0.25 v5.2.0, 0.12 v5.1.0, 0.14 v5.0.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0, 0.29 v2.5.0, 0.00 v2.2.1, 0.11 v2.2.0, 0.14 v2.1.0, 0.20 v2.0.0
% 0.76/0.83 % Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 7 RR)
% 0.76/0.83 % Number of literals : 20 ( 7 equ; 7 neg)
% 0.76/0.83 % Maximal clause size : 3 ( 1 avg)
% 0.76/0.83 % Maximal term depth : 3 ( 1 avg)
% 0.76/0.83 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 0.76/0.83 % Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% 0.76/0.83 % Number of variables : 19 ( 5 sgn)
% 0.76/0.83 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.76/0.83
% 0.76/0.83 % Comments :
% 0.76/0.83 %--------------------------------------------------------------------------
% 0.76/0.83 %----Include Henkin model axioms for equality formulation
% 0.76/0.83 include('Axioms/HEN002-0.ax').
% 0.76/0.83 %--------------------------------------------------------------------------
% 0.76/0.83 cnf(everything_divide_id_is_zero,axiom,
% 0.76/0.83 divide(X,identity) = zero ).
% 0.76/0.83
% 0.76/0.83 cnf(zero_divide_anything_is_zero,axiom,
% 0.76/0.83 divide(zero,X) = zero ).
% 0.76/0.83
% 0.76/0.83 cnf(x_divide_x_is_zero,axiom,
% 0.76/0.83 divide(X,X) = zero ).
% 0.76/0.83
% 0.76/0.83 cnf(x_divide_zero_is_x,axiom,
% 0.76/0.83 divide(a,zero) = a ).
% 0.76/0.83
% 0.76/0.83 cnf(transitivity_of_less_equal,axiom,
% 0.76/0.83 ( ~ less_equal(X,Y)
% 0.76/0.83 | ~ less_equal(Y,Z)
% 0.76/0.83 | less_equal(X,Z) ) ).
% 0.76/0.83
% 0.76/0.83 cnf(a_divide_b_LE_d,hypothesis,
% 0.76/0.83 less_equal(divide(a,b),d) ).
% 0.76/0.84
% 0.76/0.84 cnf(prove_a_divide_d_LE_b,negated_conjecture,
% 0.76/0.84 ~ less_equal(divide(a,d),b) ).
% 0.76/0.84
% 0.76/0.84 %--------------------------------------------------------------------------
% 0.76/0.84 %-------------------------------------------
% 0.76/0.84 % Proof found
% 0.76/0.84 % SZS status Theorem for theBenchmark
% 0.76/0.84 % SZS output start Proof
% 0.76/0.84 %ClaNum:21(EqnAxiom:7)
% 0.76/0.84 %VarNum:36(SingletonVarNum:19)
% 0.76/0.84 %MaxLitNum:3
% 0.76/0.84 %MaxfuncDepth:2
% 0.76/0.84 %SharedTerms:11
% 0.76/0.84 %goalClause: 17
% 0.76/0.84 %singleGoalClaCount:1
% 0.76/0.84 [8]E(f3(a1,a2),a1)
% 0.76/0.84 [14]P1(f3(a1,a4),a5)
% 0.76/0.84 [17]~P1(f3(a1,a5),a4)
% 0.76/0.84 [11]P1(x111,a6)
% 0.76/0.84 [12]P1(a2,x121)
% 0.76/0.84 [9]E(f3(x91,a6),a2)
% 0.76/0.84 [10]E(f3(a2,x101),a2)
% 0.76/0.84 [13]E(f3(x131,x131),a2)
% 0.76/0.84 [15]P1(f3(x151,x152),x151)
% 0.76/0.84 [16]P1(f3(f3(x161,x162),f3(x163,x162)),f3(f3(x161,x163),x162))
% 0.76/0.84 [18]~P1(x181,x182)+E(f3(x181,x182),a2)
% 0.76/0.84 [19]P1(x191,x192)+~E(f3(x191,x192),a2)
% 0.76/0.84 [20]~P1(x202,x201)+~P1(x201,x202)+E(x201,x202)
% 0.76/0.84 [21]~P1(x211,x213)+P1(x211,x212)+~P1(x213,x212)
% 0.76/0.84 %EqnAxiom
% 0.76/0.84 [1]E(x11,x11)
% 0.76/0.84 [2]E(x22,x21)+~E(x21,x22)
% 0.76/0.84 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.76/0.84 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.76/0.84 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.76/0.84 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 0.76/0.84 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 0.76/0.84
% 0.76/0.84 %-------------------------------------------
% 0.76/0.84 cnf(22,plain,
% 0.76/0.84 (E(a1,f3(a1,a2))),
% 0.76/0.84 inference(scs_inference,[],[8,2])).
% 0.76/0.84 cnf(23,plain,
% 0.76/0.84 (P1(x231,x231)),
% 0.76/0.84 inference(scs_inference,[],[8,13,2,19])).
% 0.76/0.84 cnf(25,plain,
% 0.76/0.84 (~E(a6,a4)),
% 0.76/0.84 inference(scs_inference,[],[17,11,8,13,2,19,7])).
% 0.76/0.84 cnf(26,plain,
% 0.76/0.84 (P1(x261,a6)),
% 0.76/0.84 inference(rename_variables,[],[11])).
% 0.76/0.84 cnf(27,plain,
% 0.76/0.84 (~E(a2,f3(a1,a5))),
% 0.76/0.84 inference(scs_inference,[],[17,11,12,8,13,2,19,7,6])).
% 0.76/0.84 cnf(28,plain,
% 0.76/0.84 (P1(a2,x281)),
% 0.76/0.84 inference(rename_variables,[],[12])).
% 0.76/0.84 cnf(29,plain,
% 0.76/0.84 (~P1(f3(a1,a5),a2)),
% 0.76/0.84 inference(scs_inference,[],[17,11,12,28,8,13,2,19,7,6,20])).
% 0.76/0.84 cnf(32,plain,
% 0.76/0.84 (E(f3(x321,f3(a1,a2)),f3(x321,a1))),
% 0.76/0.84 inference(scs_inference,[],[17,11,12,28,8,13,2,19,7,6,20,5])).
% 0.76/0.84 cnf(33,plain,
% 0.76/0.84 (E(f3(f3(a1,a2),x331),f3(a1,x331))),
% 0.76/0.84 inference(scs_inference,[],[17,11,12,28,8,13,2,19,7,6,20,5,4])).
% 0.76/0.84 cnf(34,plain,
% 0.76/0.84 (E(f3(f3(a1,a4),a5),a2)),
% 0.76/0.84 inference(scs_inference,[],[17,11,12,28,8,14,13,2,19,7,6,20,5,4,18])).
% 0.76/0.84 cnf(37,plain,
% 0.76/0.84 (~P1(a6,a4)),
% 0.76/0.84 inference(scs_inference,[],[17,11,26,12,28,8,14,13,2,19,7,6,20,5,4,18,3,21])).
% 0.76/0.84 cnf(40,plain,
% 0.76/0.84 (~E(f3(f3(a1,a5),a4),a2)),
% 0.76/0.84 inference(scs_inference,[],[17,19])).
% 0.76/0.84 cnf(42,plain,
% 0.76/0.84 (~P1(f3(f3(a1,a5),a4),a2)),
% 0.76/0.84 inference(scs_inference,[],[17,12,19,20])).
% 0.76/0.84 cnf(45,plain,
% 0.76/0.84 (~P1(f3(a1,a5),f3(a4,x451))),
% 0.76/0.84 inference(scs_inference,[],[17,15,12,19,20,21])).
% 0.76/0.84 cnf(46,plain,
% 0.76/0.84 (P1(f3(x461,x462),x461)),
% 0.76/0.84 inference(rename_variables,[],[15])).
% 0.76/0.84 cnf(48,plain,
% 0.76/0.84 (~E(f3(a1,a5),a2)),
% 0.76/0.84 inference(scs_inference,[],[17,15,12,27,19,20,21,2])).
% 0.76/0.84 cnf(49,plain,
% 0.76/0.84 (~P1(a1,a5)),
% 0.76/0.84 inference(scs_inference,[],[17,15,12,27,19,20,21,2,18])).
% 0.76/0.84 cnf(51,plain,
% 0.76/0.84 (~E(a1,a4)),
% 0.76/0.84 inference(scs_inference,[],[17,15,46,12,27,19,20,21,2,18,7])).
% 0.76/0.84 cnf(55,plain,
% 0.76/0.84 (E(f3(a1,f3(a1,a2)),a2)),
% 0.76/0.84 inference(scs_inference,[],[17,15,46,12,13,32,33,27,19,20,21,2,18,7,6,3])).
% 0.76/0.84 cnf(58,plain,
% 0.76/0.84 (P1(a1,f3(a1,a2))),
% 0.76/0.84 inference(scs_inference,[],[55,19])).
% 0.76/0.84 cnf(61,plain,
% 0.76/0.84 (P1(f3(x611,x612),x611)),
% 0.76/0.84 inference(rename_variables,[],[15])).
% 0.76/0.84 cnf(66,plain,
% 0.76/0.84 (P1(f3(f3(a1,a4),x661),a5)),
% 0.76/0.84 inference(scs_inference,[],[14,15,61,12,55,19,20,18,21])).
% 0.76/0.84 cnf(67,plain,
% 0.76/0.84 (P1(f3(x671,x672),x671)),
% 0.76/0.84 inference(rename_variables,[],[15])).
% 0.76/0.84 cnf(70,plain,
% 0.76/0.84 (P1(f3(f3(a1,a2),x701),a1)),
% 0.76/0.84 inference(scs_inference,[],[8,9,14,15,61,67,12,55,19,20,18,21,2,7])).
% 0.76/0.84 cnf(72,plain,
% 0.76/0.84 (P1(f3(f3(x721,a2),a1),f3(f3(x721,a1),a2))),
% 0.76/0.84 inference(scs_inference,[],[8,9,16,14,15,61,67,12,55,32,19,20,18,21,2,7,6])).
% 0.76/0.84 cnf(75,plain,
% 0.76/0.84 (~E(f3(a1,a2),a4)),
% 0.76/0.84 inference(scs_inference,[],[8,22,9,16,14,15,61,67,12,55,51,32,19,20,18,21,2,7,6,3])).
% 0.76/0.84 cnf(78,plain,
% 0.76/0.84 (~P1(f3(a6,a4),a2)),
% 0.76/0.84 inference(scs_inference,[],[12,37,19,20])).
% 0.76/0.84 cnf(81,plain,
% 0.76/0.84 (~P1(a1,a2)),
% 0.76/0.84 inference(scs_inference,[],[15,12,37,29,19,20,21])).
% 0.76/0.84 cnf(84,plain,
% 0.76/0.84 (P1(f3(f3(x841,a6),f3(x842,a6)),a2)),
% 0.76/0.84 inference(scs_inference,[],[9,16,15,12,37,29,19,20,21,7])).
% 0.76/0.84 cnf(87,plain,
% 0.76/0.84 (~E(a2,f3(f3(a1,a5),a4))),
% 0.76/0.84 inference(scs_inference,[],[9,16,15,12,37,40,29,19,20,21,7,2])).
% 0.76/0.84 cnf(89,plain,
% 0.76/0.84 (~E(f3(f3(a1,a5),a4),f3(a2,x891))),
% 0.76/0.84 inference(scs_inference,[],[10,9,16,14,15,12,37,40,29,49,19,20,21,7,2,6,3])).
% 0.76/0.84 cnf(90,plain,
% 0.76/0.84 (E(f3(f3(x901,a6),f3(x902,a6)),a2)),
% 0.76/0.84 inference(scs_inference,[],[12,84,20])).
% 0.76/0.84 cnf(93,plain,
% 0.76/0.84 (E(a2,f3(x931,x931))),
% 0.76/0.84 inference(scs_inference,[],[13,12,84,20,2])).
% 0.76/0.84 cnf(94,plain,
% 0.76/0.84 (~P1(f3(f3(a1,a2),a5),f3(a4,x941))),
% 0.76/0.84 inference(scs_inference,[],[13,12,45,84,33,20,2,6])).
% 0.76/0.84 cnf(96,plain,
% 0.76/0.84 (~P1(f3(f3(a1,a5),a4),f3(x961,a6))),
% 0.76/0.84 inference(scs_inference,[],[9,13,12,42,45,84,33,20,2,6,7])).
% 0.76/0.84 cnf(97,plain,
% 0.76/0.84 (~E(f3(a1,a5),f3(f3(a1,a4),a5))),
% 0.76/0.84 inference(scs_inference,[],[9,13,12,48,42,34,45,84,33,20,2,6,7,3])).
% 0.76/0.84 cnf(98,plain,
% 0.76/0.84 (E(f3(x981,f3(x982,a6)),f3(x981,a2))),
% 0.76/0.84 inference(scs_inference,[],[9,13,12,48,42,34,45,84,33,20,2,6,7,3,5])).
% 0.76/0.84 cnf(99,plain,
% 0.76/0.84 (E(f3(f3(x991,a6),x992),f3(a2,x992))),
% 0.76/0.85 inference(scs_inference,[],[9,13,12,48,42,34,45,84,33,20,2,6,7,3,5,4])).
% 0.76/0.85 cnf(100,plain,
% 0.76/0.85 (~E(f3(f3(f3(a1,a5),a4),a2),a2)),
% 0.76/0.85 inference(scs_inference,[],[9,13,12,48,42,34,45,84,33,20,2,6,7,3,5,4,19])).
% 0.76/0.85 cnf(102,plain,
% 0.76/0.85 (~P1(f3(f3(a1,a5),a4),f3(f3(x1021,a6),f3(x1022,a6)))),
% 0.76/0.85 inference(scs_inference,[],[9,13,16,12,48,42,34,45,84,33,20,2,6,7,3,5,4,19,21])).
% 0.76/0.85 cnf(105,plain,
% 0.76/0.85 (~E(a1,f3(a1,a4))),
% 0.76/0.85 inference(scs_inference,[],[97,4])).
% 0.76/0.85 cnf(109,plain,
% 0.76/0.85 (P1(f3(x1091,a6),f3(x1092,a6))),
% 0.76/0.85 inference(scs_inference,[],[12,97,90,84,4,20,19])).
% 0.76/0.85 cnf(111,plain,
% 0.76/0.85 (~E(f3(a2,x1111),f3(f3(a1,a5),a4))),
% 0.76/0.85 inference(scs_inference,[],[12,89,97,90,84,4,20,19,2])).
% 0.76/0.85 cnf(112,plain,
% 0.76/0.85 (P1(f3(x1121,a2),f3(x1121,f3(x1122,a6)))),
% 0.76/0.85 inference(scs_inference,[],[23,12,89,98,97,90,84,4,20,19,2,6])).
% 0.76/0.85 cnf(113,plain,
% 0.76/0.85 (P1(x1131,x1131)),
% 0.76/0.85 inference(rename_variables,[],[23])).
% 0.76/0.85 cnf(114,plain,
% 0.76/0.85 (~E(f3(x1141,x1141),f3(f3(a1,a5),a4))),
% 0.76/0.85 inference(scs_inference,[],[23,12,89,98,87,97,93,90,84,4,20,19,2,6,3])).
% 0.76/0.85 cnf(117,plain,
% 0.76/0.85 (~E(f3(a1,a5),a4)),
% 0.76/0.85 inference(scs_inference,[],[9,23,113,12,89,98,87,97,93,90,84,4,20,19,2,6,3,7,5])).
% 0.76/0.85 cnf(118,plain,
% 0.76/0.85 (E(f3(f3(a2,x1181),x1182),f3(a2,x1182))),
% 0.76/0.85 inference(scs_inference,[],[10,4])).
% 0.76/0.85 cnf(119,plain,
% 0.76/0.85 (E(f3(x1191,f3(a2,x1192)),f3(x1191,a2))),
% 0.76/0.85 inference(scs_inference,[],[10,4,5])).
% 0.76/0.85 cnf(122,plain,
% 0.76/0.85 (E(f3(a2,x1221),f3(f3(x1222,a6),x1221))),
% 0.76/0.85 inference(scs_inference,[],[10,96,99,4,5,19,2])).
% 0.76/0.85 cnf(124,plain,
% 0.76/0.85 (P1(x1241,x1241)),
% 0.76/0.85 inference(rename_variables,[],[23])).
% 0.76/0.85 cnf(127,plain,
% 0.76/0.85 (~E(f3(f3(f3(a1,a5),a4),a2),f3(a2,x1271))),
% 0.76/0.85 inference(scs_inference,[],[10,23,124,102,96,99,100,4,5,19,2,6,7,3])).
% 0.76/0.85 cnf(130,plain,
% 0.76/0.85 (~P1(f3(a2,x1301),f3(f3(a1,a5),a4))+~P1(f3(f3(a1,a5),a4),f3(a2,x1301))),
% 0.76/0.85 inference(scs_inference,[],[10,23,124,102,96,111,99,112,100,4,5,19,2,6,7,3,18,20])).
% 0.76/0.85 cnf(132,plain,
% 0.76/0.85 (~E(a4,f3(a1,a5))),
% 0.76/0.85 inference(scs_inference,[],[114,4])).
% 0.76/0.85 cnf(137,plain,
% 0.76/0.85 (~E(f3(a4,x1371),f3(f3(a1,a2),a5))),
% 0.76/0.85 inference(scs_inference,[],[11,23,114,94,4,21,6])).
% 0.76/0.85 cnf(139,plain,
% 0.76/0.85 (~P1(f3(a6,a4),f3(a2,x1391))),
% 0.76/0.85 inference(scs_inference,[],[10,11,23,114,94,78,4,21,6,7])).
% 0.76/0.85 cnf(141,plain,
% 0.76/0.85 (E(f3(f3(a2,x1411),x1412),a2)),
% 0.76/0.85 inference(scs_inference,[],[10,25,11,23,114,118,94,78,4,21,6,7,2,3])).
% 0.76/0.85 cnf(145,plain,
% 0.76/0.85 (P1(f3(a2,x1451),x1452)),
% 0.76/0.85 inference(scs_inference,[],[10,25,11,23,14,114,118,94,78,4,21,6,7,2,3,20,19])).
% 0.76/0.85 cnf(147,plain,
% 0.76/0.85 (~P1(f3(f3(a1,a5),a4),f3(a2,x1471))),
% 0.76/0.85 inference(scs_inference,[],[10,25,11,23,14,114,118,94,78,4,21,6,7,2,3,20,19,130])).
% 0.76/0.85 cnf(149,plain,
% 0.76/0.85 (~P1(a1,f3(a1,a4))),
% 0.76/0.85 inference(scs_inference,[],[15,105,20])).
% 0.76/0.85 cnf(152,plain,
% 0.76/0.85 (E(f3(a1,x1521),f3(f3(a1,a2),x1521))),
% 0.76/0.85 inference(scs_inference,[],[22,15,105,20,4])).
% 0.76/0.85 cnf(153,plain,
% 0.76/0.85 (~E(f3(f3(f3(a1,a5),a4),f3(a2,x1531)),a2)),
% 0.76/0.85 inference(scs_inference,[],[22,15,147,105,20,4,19])).
% 0.76/0.85 cnf(155,plain,
% 0.76/0.85 (E(f3(x1551,a2),f3(x1551,f3(a2,x1552)))),
% 0.76/0.85 inference(scs_inference,[],[22,15,147,119,105,20,4,19,2])).
% 0.76/0.85 cnf(157,plain,
% 0.76/0.85 (P1(f3(x1571,x1571),a2)),
% 0.76/0.85 inference(scs_inference,[],[22,23,15,13,147,119,105,20,4,19,2,3,7])).
% 0.76/0.85 cnf(159,plain,
% 0.76/0.85 (~E(a2,a4)),
% 0.76/0.85 inference(scs_inference,[],[22,23,15,13,147,119,105,20,4,19,2,3,7,5])).
% 0.76/0.85 cnf(160,plain,
% 0.76/0.85 (~P1(f3(f3(f3(a1,a5),a4),a2),f3(a2,x1601))),
% 0.76/0.85 inference(scs_inference,[],[145,127,20])).
% 0.76/0.85 cnf(164,plain,
% 0.76/0.85 (P1(f3(f3(x1641,x1642),f3(x1643,x1642)),f3(x1641,x1643))),
% 0.76/0.85 inference(scs_inference,[],[16,15,145,127,20,21])).
% 0.76/0.85 cnf(168,plain,
% 0.76/0.85 (~E(a4,f3(a1,a2))),
% 0.76/0.85 inference(scs_inference,[],[22,16,15,145,137,127,20,21,5,4])).
% 0.76/0.85 cnf(170,plain,
% 0.76/0.85 (~E(a2,f3(f3(a1,a2),a5))),
% 0.76/0.85 inference(scs_inference,[],[27,22,16,15,145,137,127,33,20,21,5,4,3])).
% 0.76/0.85 cnf(172,plain,
% 0.76/0.85 (~E(a6,f3(a2,x1721))),
% 0.76/0.85 inference(scs_inference,[],[11,27,22,16,15,145,137,139,127,33,20,21,5,4,3,7])).
% 0.76/0.85 cnf(176,plain,
% 0.76/0.85 (P1(f3(f3(x1761,x1762),f3(x1763,x1762)),f3(x1761,x1763))),
% 0.76/0.85 inference(rename_variables,[],[164])).
% 0.76/0.85 cnf(179,plain,
% 0.76/0.85 (~P1(f3(a1,a2),f3(a1,a4))),
% 0.76/0.85 inference(scs_inference,[],[164,58,149,145,20,21])).
% 0.76/0.85 cnf(181,plain,
% 0.76/0.85 (E(f3(f3(x1811,x1811),x1812),f3(a2,x1812))),
% 0.76/0.85 inference(scs_inference,[],[13,164,58,149,145,20,21,4])).
% 0.76/0.85 cnf(182,plain,
% 0.76/0.85 (P1(f3(f3(x1821,a6),x1822),f3(a2,x1822))),
% 0.76/0.85 inference(scs_inference,[],[23,13,164,58,122,149,145,20,21,4,6])).
% 0.76/0.85 cnf(187,plain,
% 0.76/0.85 (~P1(f3(a1,a5),f3(x1871,x1871))),
% 0.76/0.85 inference(scs_inference,[],[29,23,13,164,58,122,155,149,145,20,21,4,6,3,7])).
% 0.76/0.85 cnf(188,plain,
% 0.76/0.85 (E(a2,f3(f3(a2,x1881),x1882))),
% 0.76/0.85 inference(scs_inference,[],[29,23,13,164,58,122,155,141,149,145,20,21,4,6,3,7,2])).
% 0.76/0.85 cnf(189,plain,
% 0.76/0.85 (E(f3(f3(f3(x1891,x1892),f3(x1893,x1892)),f3(x1891,x1893)),a2)),
% 0.76/0.85 inference(scs_inference,[],[29,23,13,164,176,58,122,155,141,149,145,20,21,4,6,3,7,2,18])).
% 0.76/0.85 cnf(191,plain,
% 0.76/0.85 (~P1(f3(f3(f3(a1,a5),a4),f3(a2,x1911)),a2)),
% 0.76/0.85 inference(scs_inference,[],[12,153,20])).
% 0.76/0.85 cnf(192,plain,
% 0.76/0.85 (P1(a2,x1921)),
% 0.76/0.85 inference(rename_variables,[],[12])).
% 0.76/0.85 cnf(197,plain,
% 0.76/0.85 (~E(f3(a2,x1971),f3(a1,a5))),
% 0.76/0.85 inference(scs_inference,[],[12,192,29,15,160,153,20,21,6])).
% 0.76/0.85 cnf(202,plain,
% 0.76/0.85 (~E(a2,a1)),
% 0.76/0.85 inference(scs_inference,[],[12,192,29,15,117,159,152,160,153,20,21,6,3,2,4])).
% 0.76/0.85 cnf(203,plain,
% 0.76/0.85 (E(f3(x2031,f3(x2032,x2032)),f3(x2031,a2))),
% 0.76/0.85 inference(scs_inference,[],[12,192,29,15,13,117,159,152,160,153,20,21,6,3,2,4,5])).
% 0.76/0.85 cnf(208,plain,
% 0.76/0.85 (P1(f3(f3(x2081,x2082),f3(a6,x2082)),f3(a2,x2082))),
% 0.76/0.85 inference(scs_inference,[],[16,182,197,145,20,21])).
% 0.76/0.85 cnf(210,plain,
% 0.76/0.85 (P1(f3(f3(x2101,x2102),f3(x2103,x2102)),f3(f3(x2101,x2103),x2102))),
% 0.76/0.85 inference(rename_variables,[],[16])).
% 0.76/0.85 cnf(212,plain,
% 0.76/0.85 (~E(f3(f3(a1,a5),a2),a2)),
% 0.76/0.85 inference(scs_inference,[],[29,16,182,197,145,20,21,19])).
% 0.76/0.85 cnf(215,plain,
% 0.76/0.85 (~P1(f3(f3(a1,a2),a5),a2)),
% 0.76/0.85 inference(scs_inference,[],[29,16,182,197,188,145,33,20,21,19,4,6])).
% 0.76/0.85 cnf(217,plain,
% 0.76/0.85 (P1(f3(f3(x2171,x2172),f3(x2171,x2172)),f3(a2,x2172))),
% 0.76/0.85 inference(scs_inference,[],[29,16,210,181,182,197,188,145,33,20,21,19,4,6,7])).
% 0.76/0.85 cnf(218,plain,
% 0.76/0.85 (E(f3(f3(x2181,x2181),x2182),f3(a2,x2182))),
% 0.76/0.85 inference(rename_variables,[],[181])).
% 0.76/0.85 cnf(222,plain,
% 0.76/0.85 (E(f3(a2,x2221),f3(f3(x2222,x2222),x2221))),
% 0.76/0.85 inference(scs_inference,[],[29,16,210,75,181,218,182,197,188,155,145,33,20,21,19,4,6,7,3,2])).
% 0.76/0.85 cnf(228,plain,
% 0.76/0.85 (P1(f3(f3(x2281,x2282),f3(x2283,x2282)),f3(f3(x2281,x2283),x2282))),
% 0.76/0.85 inference(rename_variables,[],[16])).
% 0.76/0.85 cnf(229,plain,
% 0.76/0.85 (~P1(f3(f3(f3(a1,a5),a4),f3(a2,x2291)),a2)),
% 0.76/0.85 inference(rename_variables,[],[191])).
% 0.76/0.85 cnf(231,plain,
% 0.76/0.85 (P1(f3(x2311,a1),f3(x2311,f3(a1,a2)))),
% 0.76/0.85 inference(scs_inference,[],[32,23,16,15,109,191,20,21,6])).
% 0.76/0.85 cnf(239,plain,
% 0.76/0.85 (~E(f3(f3(a1,a2),a5),a2)),
% 0.76/0.85 inference(scs_inference,[],[32,23,16,228,15,222,109,170,191,229,20,21,6,7,3,2])).
% 0.76/0.85 cnf(240,plain,
% 0.76/0.85 (~P1(f3(f3(a1,a5),a2),a4)),
% 0.76/0.85 inference(scs_inference,[],[32,23,16,228,15,222,109,170,191,229,20,21,6,7,3,2,18])).
% 0.76/0.85 cnf(244,plain,
% 0.76/0.85 (E(f3(a2,x2441),f3(f3(x2442,x2441),f3(x2442,x2441)))),
% 0.76/0.85 inference(scs_inference,[],[217,145,18,20])).
% 0.76/0.85 cnf(245,plain,
% 0.76/0.85 (P1(f3(f3(x2451,x2452),f3(x2451,x2452)),f3(a2,x2452))),
% 0.76/0.85 inference(rename_variables,[],[217])).
% 0.76/0.85 cnf(251,plain,
% 0.76/0.85 (~P1(f3(a1,a5),f3(f3(f3(x2511,x2512),f3(x2513,x2512)),f3(x2511,x2513)))),
% 0.76/0.85 inference(scs_inference,[],[29,217,245,187,189,145,18,20,6,7])).
% 0.76/0.85 cnf(252,plain,
% 0.76/0.85 (~E(f3(f3(a1,a2),a1),f3(f3(a1,a5),a4))),
% 0.76/0.85 inference(scs_inference,[],[32,29,217,245,187,189,114,145,18,20,6,7,3])).
% 0.76/0.85 cnf(255,plain,
% 0.76/0.85 (E(f3(x2551,a2),f3(x2551,f3(x2552,x2552)))),
% 0.76/0.85 inference(scs_inference,[],[32,29,217,245,203,187,189,114,145,18,20,6,7,3,2])).
% 0.76/0.85 cnf(256,plain,
% 0.76/0.85 (~P1(f3(a1,a2),a5)),
% 0.76/0.85 inference(scs_inference,[],[239,18])).
% 0.76/0.85 cnf(261,plain,
% 0.76/0.85 (~P1(f3(f3(a1,a2),a5),f3(f3(f3(x2611,x2612),f3(x2613,x2612)),f3(x2611,x2613)))),
% 0.76/0.85 inference(scs_inference,[],[33,251,239,172,11,18,20,6])).
% 0.76/0.85 cnf(262,plain,
% 0.76/0.85 (E(f3(f3(a1,a2),x2621),f3(a1,x2621))),
% 0.76/0.85 inference(rename_variables,[],[33])).
% 0.76/0.85 cnf(264,plain,
% 0.76/0.85 (E(f3(f3(a1,a2),x2641),f3(a1,x2641))),
% 0.76/0.85 inference(rename_variables,[],[33])).
% 0.76/0.85 cnf(265,plain,
% 0.76/0.85 (P1(f3(f3(a1,a2),x2651),f3(a1,x2651))),
% 0.76/0.85 inference(scs_inference,[],[33,262,264,23,132,251,239,172,11,18,20,6,3,7])).
% 0.76/0.85 cnf(267,plain,
% 0.76/0.85 (~E(a1,a2)),
% 0.76/0.85 inference(scs_inference,[],[33,262,264,23,132,202,251,239,172,11,18,20,6,3,7,2])).
% 0.76/0.85 cnf(272,plain,
% 0.76/0.85 (P1(f3(f3(x2721,x2722),f3(a6,x2722)),a2)),
% 0.76/0.85 inference(scs_inference,[],[15,208,18,21])).
% 0.76/0.85 cnf(273,plain,
% 0.76/0.85 (P1(f3(f3(x2731,x2732),f3(a6,x2732)),f3(a2,x2732))),
% 0.76/0.85 inference(rename_variables,[],[208])).
% 0.76/0.85 cnf(274,plain,
% 0.76/0.85 (P1(f3(x2741,x2742),x2741)),
% 0.76/0.85 inference(rename_variables,[],[15])).
% 0.76/0.85 cnf(280,plain,
% 0.76/0.85 (E(f3(f3(f3(a1,a4),a5),x2801),f3(a2,x2801))),
% 0.76/0.85 inference(scs_inference,[],[15,34,208,273,145,18,21,20,4])).
% 0.76/0.85 cnf(281,plain,
% 0.76/0.85 (~E(f3(a1,a5),f3(f3(f3(x2811,x2812),f3(x2813,x2812)),f3(x2811,x2813)))),
% 0.76/0.85 inference(scs_inference,[],[15,34,261,208,273,265,145,18,21,20,4,7])).
% 0.76/0.85 cnf(283,plain,
% 0.76/0.85 (P1(f3(a1,x2831),f3(a1,a2))),
% 0.76/0.85 inference(scs_inference,[],[15,274,34,33,261,208,273,265,145,18,21,20,4,7,6])).
% 0.76/0.85 cnf(284,plain,
% 0.76/0.85 (E(f3(f3(a1,a2),x2841),f3(a1,x2841))),
% 0.76/0.85 inference(rename_variables,[],[33])).
% 0.76/0.85 cnf(286,plain,
% 0.76/0.85 (E(f3(f3(a1,a2),f3(a1,a2)),f3(a1,a1))),
% 0.76/0.85 inference(scs_inference,[],[15,274,34,32,33,284,261,208,273,265,145,18,21,20,4,7,6,3])).
% 0.76/0.85 cnf(290,plain,
% 0.76/0.85 (~E(f3(f3(a1,a2),f3(a1,a4)),a2)),
% 0.76/0.85 inference(scs_inference,[],[15,274,34,32,33,284,261,179,208,273,265,145,18,21,20,4,7,6,3,2,19])).
% 0.76/0.85 cnf(295,plain,
% 0.76/0.85 (E(a2,f3(f3(x2951,x2952),f3(a6,x2952)))),
% 0.76/0.85 inference(scs_inference,[],[15,81,272,12,21,20])).
% 0.76/0.85 cnf(298,plain,
% 0.76/0.85 (~P1(f3(a1,a5),f3(f3(a1,a4),a5))),
% 0.76/0.85 inference(scs_inference,[],[15,34,29,81,272,12,21,20,7])).
% 0.76/0.85 cnf(299,plain,
% 0.76/0.85 (P1(f3(a1,a1),f3(f3(a1,a1),a2))),
% 0.76/0.85 inference(scs_inference,[],[15,34,29,33,81,72,272,12,21,20,7,6])).
% 0.76/0.85 cnf(302,plain,
% 0.76/0.85 (~E(f3(a1,a2),a2)),
% 0.76/0.85 inference(scs_inference,[],[15,34,22,29,33,81,72,267,272,12,21,20,7,6,3])).
% 0.76/0.85 cnf(303,plain,
% 0.76/0.85 (~E(f3(f3(f3(x3031,x3032),f3(x3033,x3032)),f3(x3031,x3033)),f3(a1,a5))),
% 0.76/0.85 inference(scs_inference,[],[15,34,22,29,33,81,281,72,267,272,12,21,20,7,6,3,2])).
% 0.76/0.85 cnf(306,plain,
% 0.76/0.85 (P1(f3(f3(x3061,a1),f3(x3062,a1)),f3(f3(x3061,x3062),f3(a1,a2)))),
% 0.76/0.85 inference(scs_inference,[],[16,231,18,21])).
% 0.76/0.85 cnf(308,plain,
% 0.76/0.85 (P1(f3(f3(x3081,x3082),f3(x3083,x3082)),f3(f3(x3081,x3083),x3082))),
% 0.76/0.85 inference(rename_variables,[],[16])).
% 0.76/0.85 cnf(314,plain,
% 0.76/0.85 (P1(f3(f3(a1,a5),f3(a4,a5)),a2)),
% 0.76/0.85 inference(scs_inference,[],[16,308,34,22,168,231,290,12,18,21,20,3,7])).
% 0.76/0.85 cnf(316,plain,
% 0.76/0.85 (~P1(f3(f3(a1,a5),f3(x3161,x3161)),a4)),
% 0.76/0.85 inference(scs_inference,[],[16,308,34,22,168,240,231,290,203,12,18,21,20,3,7,6])).
% 0.76/0.85 cnf(318,plain,
% 0.76/0.85 (E(f3(f3(x3181,x3182),f3(x3181,x3182)),f3(a2,x3182))),
% 0.76/0.85 inference(scs_inference,[],[16,308,34,22,168,240,244,231,290,203,12,18,21,20,3,7,6,2])).
% 0.76/0.85 cnf(320,plain,
% 0.76/0.85 (P1(f3(f3(x3201,x3202),f3(x3203,x3202)),f3(f3(x3201,x3203),x3202))),
% 0.76/0.85 inference(rename_variables,[],[16])).
% 0.76/0.85 cnf(321,plain,
% 0.76/0.85 (~P1(f3(f3(a1,a5),f3(x3211,x3211)),a4)),
% 0.76/0.85 inference(rename_variables,[],[316])).
% 0.76/0.85 cnf(327,plain,
% 0.76/0.85 (P1(f3(f3(x3271,x3272),f3(x3273,x3272)),f3(f3(x3271,x3273),x3272))),
% 0.76/0.85 inference(rename_variables,[],[16])).
% 0.76/0.85 cnf(336,plain,
% 0.76/0.85 (E(f3(x3361,f3(f3(a1,a4),a5)),f3(x3361,a2))),
% 0.76/0.85 inference(scs_inference,[],[16,320,327,34,33,318,255,299,252,316,321,15,21,20,7,6,3,2,5])).
% 0.76/0.85 cnf(337,plain,
% 0.76/0.85 (E(a2,f3(f3(a1,a5),f3(a4,a5)))),
% 0.76/0.85 inference(scs_inference,[],[314,12,20])).
% 0.76/0.85 cnf(346,plain,
% 0.76/0.85 (~E(f3(x3461,x3461),f3(a1,a5))),
% 0.76/0.85 inference(scs_inference,[],[32,23,29,256,286,303,157,314,12,20,3,2,7,6])).
% 0.76/0.85 cnf(349,plain,
% 0.76/0.85 (~P1(f3(a1,a2),f3(f3(a1,a4),x3491))),
% 0.76/0.85 inference(scs_inference,[],[32,23,29,256,215,286,303,157,66,314,12,20,3,2,7,6,19,21])).
% 0.76/0.85 cnf(357,plain,
% 0.76/0.85 (~E(a5,a1)),
% 0.76/0.85 inference(scs_inference,[],[346,212,295,12,5,20,4])).
% 0.76/0.85 cnf(358,plain,
% 0.76/0.85 (~E(f3(x3581,x3581),f3(a1,a5))),
% 0.76/0.85 inference(rename_variables,[],[346])).
% 0.76/0.85 cnf(359,plain,
% 0.76/0.85 (~E(f3(f3(a1,a5),a4),f3(f3(a1,a4),a5))),
% 0.76/0.85 inference(scs_inference,[],[40,34,346,212,295,12,5,20,4,3])).
% 0.76/0.85 cnf(360,plain,
% 0.76/0.85 (~P1(f3(f3(a1,a2),a5),f3(f3(a1,a4),a5))),
% 0.76/0.85 inference(scs_inference,[],[40,34,33,346,298,212,295,12,5,20,4,3,6])).
% 0.76/0.85 cnf(363,plain,
% 0.76/0.85 (P1(f3(f3(a1,a4),a5),a2)),
% 0.76/0.85 inference(scs_inference,[],[40,34,23,33,346,358,298,212,295,12,5,20,4,3,6,2,7])).
% 0.76/0.85 cnf(367,plain,
% 0.76/0.85 (P1(f3(a1,x3671),f3(a1,a2))),
% 0.76/0.85 inference(rename_variables,[],[283])).
% 0.76/0.85 cnf(370,plain,
% 0.76/0.85 (P1(f3(a1,x3701),f3(f3(a1,a2),x3701))),
% 0.76/0.85 inference(scs_inference,[],[23,33,283,337,112,20,4,6])).
% 0.76/0.85 cnf(372,plain,
% 0.76/0.85 (E(f3(f3(f3(a1,a4),a5),f3(a1,a2)),f3(a2,a1))),
% 0.76/0.85 inference(scs_inference,[],[23,32,33,280,283,337,112,20,4,6,3])).
% 0.76/0.85 cnf(375,plain,
% 0.76/0.85 (P1(f3(f3(a1,a4),a5),f3(f3(a1,a5),f3(a4,a5)))),
% 0.76/0.85 inference(scs_inference,[],[23,32,33,280,283,363,337,112,20,4,6,3,7])).
% 0.76/0.85 cnf(377,plain,
% 0.76/0.85 (E(f3(f3(a1,x3771),f3(a1,a2)),a2)),
% 0.76/0.85 inference(scs_inference,[],[23,32,33,280,336,283,367,363,337,112,20,4,6,3,7,2,18])).
% 0.76/0.85 cnf(379,plain,
% 0.76/0.85 (E(f3(f3(a1,a5),f3(a4,a5)),f3(f3(a1,a4),a5))),
% 0.76/0.85 inference(scs_inference,[],[375,16,20])).
% 0.76/0.85 cnf(387,plain,
% 0.76/0.85 (~E(f3(f3(a1,a2),a1),f3(a1,a5))),
% 0.76/0.85 inference(scs_inference,[],[42,32,34,359,349,375,306,346,16,20,7,2,6,3])).
% 0.76/0.85 cnf(396,plain,
% 0.76/0.85 (P1(f3(a1,f3(a1,a2)),f3(f3(a1,a2),a1))),
% 0.76/0.85 inference(scs_inference,[],[32,360,370,302,70,12,21,20,7])).
% 0.76/0.85 cnf(400,plain,
% 0.76/0.85 (E(f3(a2,a1),f3(f3(f3(a1,a4),a5),f3(a1,a2)))),
% 0.76/0.85 inference(scs_inference,[],[32,360,357,372,370,302,70,8,12,21,20,7,3,2])).
% 0.76/0.85 cnf(403,plain,
% 0.76/0.85 (~E(f3(f3(a1,a5),f3(a4,x4031)),a2)),
% 0.76/0.85 inference(scs_inference,[],[37,45,32,360,357,372,370,302,70,8,145,12,21,20,7,3,2,6,19])).
% 0.76/0.85 cnf(418,plain,
% 0.76/0.85 ($false),
% 0.76/0.85 inference(scs_inference,[],[45,34,33,396,387,400,379,403,377,164,375,231,16,21,5,20,7,2,6,3]),
% 0.76/0.85 ['proof']).
% 0.76/0.85 % SZS output end Proof
% 0.76/0.85 % Total time :0.210000s
%------------------------------------------------------------------------------