TSTP Solution File: GRP031-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP031-2 : 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 : n001.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 00:10:41 EDT 2023
% Result : Unsatisfiable 12.45s 12.55s
% Output : CNFRefutation 12.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP031-2 : 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 : n001.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 02:53:06 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 12.45/12.54 %-------------------------------------------
% 12.45/12.54 % File :CSE---1.6
% 12.45/12.54 % Problem :theBenchmark
% 12.45/12.54 % Transform :cnf
% 12.45/12.54 % Format :tptp:raw
% 12.45/12.54 % Command :java -jar mcs_scs.jar %d %s
% 12.45/12.54
% 12.45/12.54 % Result :Theorem 11.920000s
% 12.45/12.54 % Output :CNFRefutation 11.920000s
% 12.45/12.54 %-------------------------------------------
% 12.45/12.54 %--------------------------------------------------------------------------
% 12.45/12.54 % File : GRP031-2 : TPTP v8.1.2. Released v1.0.0.
% 12.45/12.54 % Domain : Group Theory (Semigroups)
% 12.45/12.54 % Problem : In semigroups, left inverse and id => right inverse exists
% 12.45/12.54 % Version : [MOW76] axioms : Reduced > Incomplete.
% 12.45/12.54 % English : If there are right inverses and right identity, then every
% 12.45/12.54 % element has a left inverse.
% 12.45/12.54
% 12.45/12.54 % Refs : [LS74] Lawrence & Starkey (1974), Experimental tests of resol
% 12.45/12.54 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 12.45/12.54 % Source : [SPRFN]
% 12.45/12.54 % Names : ls23 [LS74]
% 12.45/12.54 % : ls23 [WM76]
% 12.45/12.54
% 12.45/12.54 % Status : Unsatisfiable
% 12.45/12.54 % Rating : 0.00 v7.4.0, 0.17 v7.3.0, 0.00 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.00 v2.4.0, 0.14 v2.3.0, 0.00 v2.2.1, 0.11 v2.1.0, 0.00 v2.0.0
% 12.45/12.54 % Syntax : Number of clauses : 7 ( 4 unt; 0 nHn; 4 RR)
% 12.45/12.54 % Number of literals : 15 ( 0 equ; 9 neg)
% 12.45/12.54 % Maximal clause size : 4 ( 2 avg)
% 12.45/12.54 % Maximal term depth : 2 ( 1 avg)
% 12.45/12.54 % Number of predicates : 2 ( 2 usr; 0 prp; 2-3 aty)
% 12.45/12.54 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 12.45/12.54 % Number of variables : 21 ( 1 sgn)
% 12.45/12.54 % SPC : CNF_UNS_RFO_NEQ_HRN
% 12.45/12.54
% 12.45/12.54 % Comments : This can also be viewed as a group theory problem, showing
% 12.45/12.54 % that the left inverse axiom is dependant on the rest of the
% 12.45/12.54 % axiom set; i.e., if there is a right inverse then there
% 12.45/12.54 % is a left inverse.
% 12.45/12.54 %--------------------------------------------------------------------------
% 12.45/12.54 %----Don't include semi-group axioms because most equality is missing
% 12.45/12.54 %include('Axioms/GRP002-0.ax').
% 12.45/12.54 %--------------------------------------------------------------------------
% 12.45/12.54 %----This axiom is called closure or totality in some axiomatisations
% 12.45/12.54 cnf(total_function1,axiom,
% 12.45/12.54 product(X,Y,multiply(X,Y)) ).
% 12.45/12.54
% 12.45/12.54 %----This axiom is called well_definedness in some axiomatisations
% 12.45/12.54 cnf(total_function2,axiom,
% 12.45/12.54 ( ~ product(X,Y,Z)
% 12.45/12.54 | ~ product(X,Y,W)
% 12.45/12.54 | equalish(Z,W) ) ).
% 12.45/12.54
% 12.45/12.54 cnf(associativity1,axiom,
% 12.45/12.54 ( ~ product(X,Y,U)
% 12.45/12.54 | ~ product(Y,Z,V)
% 12.45/12.54 | ~ product(U,Z,W)
% 12.45/12.54 | product(X,V,W) ) ).
% 12.45/12.54
% 12.45/12.54 cnf(associativity2,axiom,
% 12.45/12.54 ( ~ product(X,Y,U)
% 12.45/12.54 | ~ product(Y,Z,V)
% 12.45/12.54 | ~ product(X,V,W)
% 12.45/12.54 | product(U,Z,W) ) ).
% 12.45/12.54
% 12.45/12.54 cnf(right_inverse,hypothesis,
% 12.45/12.55 product(A,inverse(A),identity) ).
% 12.45/12.55
% 12.45/12.55 cnf(right_identity,hypothesis,
% 12.45/12.55 product(A,identity,A) ).
% 12.45/12.55
% 12.45/12.55 cnf(prove_a_has_a_left_inverse,negated_conjecture,
% 12.45/12.55 ~ product(A,a,identity) ).
% 12.45/12.55
% 12.45/12.55 %--------------------------------------------------------------------------
% 12.45/12.55 %-------------------------------------------
% 12.45/12.55 % Proof found
% 12.45/12.55 % SZS status Theorem for theBenchmark
% 12.45/12.55 % SZS output start Proof
% 12.45/12.55 %ClaNum:7(EqnAxiom:0)
% 12.45/12.55 %VarNum:41(SingletonVarNum:21)
% 12.45/12.55 %MaxLitNum:4
% 12.45/12.55 %MaxfuncDepth:1
% 12.45/12.55 %SharedTerms:2
% 12.45/12.55 %goalClause: 4
% 12.45/12.55 %singleGoalClaCount:1
% 12.45/12.55 [1]P1(x11,a1,x11)
% 12.45/12.55 [4]~P1(x41,a2,a1)
% 12.45/12.55 [2]P1(x21,f3(x21),a1)
% 12.45/12.55 [3]P1(x31,x32,f4(x31,x32))
% 12.45/12.55 [5]~P1(x53,x54,x51)+P2(x51,x52)+~P1(x53,x54,x52)
% 12.45/12.55 [6]~P1(x66,x64,x61)+P1(x61,x62,x63)+~P1(x64,x62,x65)+~P1(x66,x65,x63)
% 12.45/12.55 [7]~P1(x71,x76,x74)+P1(x71,x72,x73)+~P1(x74,x75,x73)+~P1(x76,x75,x72)
% 12.45/12.55 %EqnAxiom
% 12.45/12.55
% 12.45/12.55 %-------------------------------------------
% 12.45/12.55 cnf(8,plain,
% 12.45/12.55 (P1(x81,f4(a1,a1),x81)),
% 12.45/12.55 inference(scs_inference,[],[1,3,7])).
% 12.45/12.55 cnf(10,plain,
% 12.45/12.55 (~P1(a1,a2,f3(x101))),
% 12.45/12.55 inference(scs_inference,[],[4,1,3,2,7,6])).
% 12.45/12.55 cnf(14,plain,
% 12.45/12.55 (~P1(x141,f3(f4(x142,x141)),a2)),
% 12.45/12.55 inference(scs_inference,[],[4,3,2,7])).
% 12.45/12.55 cnf(15,plain,
% 12.45/12.55 (P1(x151,x152,f4(x151,x152))),
% 12.45/12.55 inference(rename_variables,[],[3])).
% 12.45/12.55 cnf(18,plain,
% 12.45/12.55 (~P1(a2,f4(a2,a2),a1)),
% 12.45/12.55 inference(scs_inference,[],[4,3,15,2,7,6])).
% 12.45/12.55 cnf(23,plain,
% 12.45/12.55 (~P1(f3(a2),a1,f4(a2,a2))),
% 12.45/12.55 inference(scs_inference,[],[1,2,18,7])).
% 12.45/12.55 cnf(24,plain,
% 12.45/12.55 (P1(x241,a1,x241)),
% 12.45/12.55 inference(rename_variables,[],[1])).
% 12.45/12.55 cnf(27,plain,
% 12.45/12.55 (~P1(a2,f4(a1,f4(a2,a2)),a1)),
% 12.45/12.55 inference(scs_inference,[],[1,24,3,2,18,7,6])).
% 12.45/12.55 cnf(31,plain,
% 12.45/12.55 (P1(x311,f4(a1,f3(x311)),a1)),
% 12.45/12.55 inference(scs_inference,[],[1,3,2,7])).
% 12.45/12.55 cnf(33,plain,
% 12.45/12.55 (P1(x331,x332,f4(x331,x332))),
% 12.45/12.55 inference(rename_variables,[],[3])).
% 12.45/12.55 cnf(35,plain,
% 12.45/12.55 (P1(f4(a1,a1),a1,a1)),
% 12.45/12.55 inference(scs_inference,[],[1,8,3,33,2,7,6])).
% 12.45/12.55 cnf(40,plain,
% 12.45/12.55 (P1(x401,f3(x401),a1)),
% 12.45/12.55 inference(rename_variables,[],[2])).
% 12.45/12.55 cnf(43,plain,
% 12.45/12.55 (~P1(f3(x431),a2,f3(x431))),
% 12.45/12.55 inference(scs_inference,[],[2,40,8,23,4,7,6])).
% 12.45/12.55 cnf(46,plain,
% 12.45/12.55 (~P1(f4(a1,a2),f4(a1,a1),f3(x461))),
% 12.45/12.55 inference(scs_inference,[],[10,8,3,7])).
% 12.45/12.55 cnf(47,plain,
% 12.45/12.55 (P1(x471,x472,f4(x471,x472))),
% 12.45/12.55 inference(rename_variables,[],[3])).
% 12.45/12.55 cnf(50,plain,
% 12.45/12.55 (~P1(x501,f4(f3(x501),a2),f3(x502))),
% 12.45/12.55 inference(scs_inference,[],[2,10,8,3,47,7,6])).
% 12.45/12.55 cnf(53,plain,
% 12.45/12.55 (~P1(f4(a1,a1),f4(a1,a1),f3(f4(x531,a2)))),
% 12.45/12.55 inference(scs_inference,[],[14,8,7])).
% 12.45/12.55 cnf(62,plain,
% 12.45/12.55 (P1(a1,f4(a1,a1),f4(a1,a1))),
% 12.45/12.55 inference(scs_inference,[],[3,1,7])).
% 12.45/12.55 cnf(64,plain,
% 12.45/12.55 (P1(x641,x642,f4(x641,x642))),
% 12.45/12.55 inference(rename_variables,[],[3])).
% 12.45/12.55 cnf(65,plain,
% 12.45/12.55 (P1(x651,x652,f4(x651,x652))),
% 12.45/12.55 inference(rename_variables,[],[3])).
% 12.45/12.55 cnf(67,plain,
% 12.45/12.55 (P1(f4(x671,x671),x671,f4(x671,f4(x671,x671)))),
% 12.45/12.55 inference(scs_inference,[],[3,65,64,1,7,6])).
% 12.45/12.55 cnf(74,plain,
% 12.45/12.55 (P1(x741,f4(a1,a1),x741)),
% 12.45/12.55 inference(rename_variables,[],[8])).
% 12.45/12.55 cnf(76,plain,
% 12.45/12.55 (~P1(f4(a1,a1),f3(f4(x761,a2)),f4(a1,a1))),
% 12.45/12.55 inference(scs_inference,[],[8,74,14,53,1,7,6])).
% 12.45/12.55 cnf(81,plain,
% 12.45/12.55 (~P1(a2,f4(f4(a1,a1),f4(a2,a2)),a1)),
% 12.45/12.56 inference(scs_inference,[],[8,18,3,6])).
% 12.45/12.56 cnf(82,plain,
% 12.45/12.56 (P1(x821,f4(a1,a1),x821)),
% 12.45/12.56 inference(rename_variables,[],[8])).
% 12.45/12.56 cnf(85,plain,
% 12.45/12.56 (~P1(f4(a1,a1),f4(a1,f3(a2)),f4(a2,a2))),
% 12.45/12.56 inference(scs_inference,[],[8,82,18,31,3,6,7])).
% 12.45/12.56 cnf(96,plain,
% 12.45/12.56 (P1(f4(a1,a1),f4(a1,a1),f4(a1,f4(a1,a1)))),
% 12.45/12.56 inference(scs_inference,[],[62,67,8,7])).
% 12.45/12.56 cnf(100,plain,
% 12.45/12.56 (P1(f4(a1,f4(a1,a1)),a1,a1)),
% 12.45/12.56 inference(scs_inference,[],[96,35,6])).
% 12.45/12.56 cnf(104,plain,
% 12.45/12.56 (~P1(a1,a1,f3(f4(x1041,a2)))),
% 12.45/12.56 inference(scs_inference,[],[14,1,7])).
% 12.45/12.56 cnf(106,plain,
% 12.45/12.56 (~P1(x1061,f3(f4(x1062,x1061)),a2)),
% 12.45/12.56 inference(rename_variables,[],[14])).
% 12.45/12.56 cnf(107,plain,
% 12.45/12.56 (P1(x1071,a1,x1071)),
% 12.45/12.56 inference(rename_variables,[],[1])).
% 12.45/12.56 cnf(109,plain,
% 12.45/12.56 (~P1(f3(a2),f3(f4(x1091,a1)),a1)),
% 12.45/12.56 inference(scs_inference,[],[14,106,2,1,107,7,6])).
% 12.45/12.56 cnf(114,plain,
% 12.45/12.56 (~P1(f4(a1,a1),f4(a2,a2),f4(a1,f3(a2)))),
% 12.45/12.56 inference(scs_inference,[],[18,31,8,6])).
% 12.45/12.56 cnf(122,plain,
% 12.45/12.56 (P1(f4(a1,f4(a1,a1)),f4(a1,a1),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[100,62,7])).
% 12.45/12.56 cnf(124,plain,
% 12.45/12.56 (P1(a1,f3(f4(a1,a1)),a1)),
% 12.45/12.56 inference(scs_inference,[],[31,35,3,6])).
% 12.45/12.56 cnf(128,plain,
% 12.45/12.56 (P1(f4(a1,a1),f4(a1,f4(a1,a1)),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[31,35,122,96,3,6,7])).
% 12.45/12.56 cnf(134,plain,
% 12.45/12.56 (~P1(x1341,f4(a1,a1),a1)+~P1(f3(a2),x1341,f4(a2,a2))),
% 12.45/12.56 inference(scs_inference,[],[23,31,4,2,8,6,7])).
% 12.45/12.56 cnf(137,plain,
% 12.45/12.56 (~P1(a1,f3(f4(x1371,a2)),a1)),
% 12.45/12.56 inference(scs_inference,[],[76,3,6])).
% 12.45/12.56 cnf(138,plain,
% 12.45/12.56 (P1(x1381,x1382,f4(x1381,x1382))),
% 12.45/12.56 inference(rename_variables,[],[3])).
% 12.45/12.56 cnf(140,plain,
% 12.45/12.56 (P1(f4(a1,a1),f4(a1,a1),a1)),
% 12.45/12.56 inference(scs_inference,[],[35,76,1,3,138,6,7])).
% 12.45/12.56 cnf(144,plain,
% 12.45/12.56 (~P1(f3(a2),f4(a1,a1),f4(a2,a2))),
% 12.45/12.56 inference(scs_inference,[],[35,76,1,3,138,6,7,134])).
% 12.45/12.56 cnf(149,plain,
% 12.45/12.56 (P1(a1,f4(a1,f4(a1,a1)),a1)),
% 12.45/12.56 inference(scs_inference,[],[128,140,6])).
% 12.45/12.56 cnf(158,plain,
% 12.45/12.56 (P1(a1,f4(a1,f4(a1,a1)),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[35,149,1,6])).
% 12.45/12.56 cnf(164,plain,
% 12.45/12.56 (~P1(f4(a1,a2),f4(a1,f4(a1,a1)),f3(x1641))),
% 12.45/12.56 inference(scs_inference,[],[46,96,8,6])).
% 12.45/12.56 cnf(167,plain,
% 12.45/12.56 (~P1(f3(x1671),f4(a1,f4(a1,a1)),f4(a1,a2))),
% 12.45/12.56 inference(scs_inference,[],[46,122,8,6])).
% 12.45/12.56 cnf(170,plain,
% 12.45/12.56 (P1(a1,a1,f4(a1,f4(a1,a1)))),
% 12.45/12.56 inference(scs_inference,[],[46,158,122,100,67,8,6,7])).
% 12.45/12.56 cnf(173,plain,
% 12.45/12.56 (P1(f4(a1,f4(a1,a1)),a1,f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[170,128,67,6])).
% 12.45/12.56 cnf(174,plain,
% 12.45/12.56 (P1(f4(x1741,x1741),x1741,f4(x1741,f4(x1741,x1741)))),
% 12.45/12.56 inference(rename_variables,[],[67])).
% 12.45/12.56 cnf(176,plain,
% 12.45/12.56 (P1(f4(a1,a1),f4(a1,f4(a1,a1)),a1)),
% 12.45/12.56 inference(scs_inference,[],[170,128,100,67,174,6,7])).
% 12.45/12.56 cnf(179,plain,
% 12.45/12.56 (P1(a1,a1,f4(f4(a1,a1),f4(a1,a1)))),
% 12.45/12.56 inference(scs_inference,[],[176,173,3,6])).
% 12.45/12.56 cnf(182,plain,
% 12.45/12.56 (~P1(f4(a1,a2),a1,f3(x1821))),
% 12.45/12.56 inference(scs_inference,[],[176,164,173,170,1,3,6,7])).
% 12.45/12.56 cnf(185,plain,
% 12.45/12.56 (~P1(f3(x1851),f4(f4(a1,a1),a2),f3(x1851))),
% 12.45/12.56 inference(scs_inference,[],[43,8,3,6])).
% 12.45/12.56 cnf(186,plain,
% 12.45/12.56 (P1(x1861,f4(a1,a1),x1861)),
% 12.45/12.56 inference(rename_variables,[],[8])).
% 12.45/12.56 cnf(189,plain,
% 12.45/12.56 (~P1(f4(a1,a1),f4(a1,a1),a2)),
% 12.45/12.56 inference(scs_inference,[],[43,8,186,3,6,7])).
% 12.45/12.56 cnf(193,plain,
% 12.45/12.56 (~P1(f4(a2,a2),f4(a1,f4(a1,a1)),f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[144,122,8,6])).
% 12.45/12.56 cnf(194,plain,
% 12.45/12.56 (P1(x1941,f4(a1,a1),x1941)),
% 12.45/12.56 inference(rename_variables,[],[8])).
% 12.45/12.56 cnf(196,plain,
% 12.45/12.56 (P1(a1,f4(a1,a1),f4(f4(a1,a1),f4(a1,a1)))),
% 12.45/12.56 inference(scs_inference,[],[144,179,122,62,8,194,6,7])).
% 12.45/12.56 cnf(199,plain,
% 12.45/12.56 (P1(f4(a1,a1),f3(f4(a1,a1)),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[173,124,6])).
% 12.45/12.56 cnf(201,plain,
% 12.45/12.56 (P1(f4(a1,a1),f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[196,173,124,122,67,6,7])).
% 12.45/12.56 cnf(204,plain,
% 12.45/12.56 (~P1(f4(a1,a1),a2,f4(a1,f3(a1)))),
% 12.45/12.56 inference(scs_inference,[],[62,31,4,6])).
% 12.45/12.56 cnf(208,plain,
% 12.45/12.56 (~P1(f3(x2081),f4(a1,a1),f4(a1,a2))),
% 12.45/12.56 inference(scs_inference,[],[62,167,96,31,4,8,6,7])).
% 12.45/12.56 cnf(211,plain,
% 12.45/12.56 (~P1(a1,a1,f4(f4(a1,a1),a2))),
% 12.45/12.56 inference(scs_inference,[],[185,1,7])).
% 12.45/12.56 cnf(215,plain,
% 12.45/12.56 (~P1(a1,a1,a2)),
% 12.45/12.56 inference(scs_inference,[],[62,185,189,140,1,7,6])).
% 12.45/12.56 cnf(217,plain,
% 12.45/12.56 (P1(f4(a1,a1),a1,f4(f4(a1,a1),f4(a1,a1)))),
% 12.45/12.56 inference(scs_inference,[],[158,179,100,6])).
% 12.45/12.56 cnf(219,plain,
% 12.45/12.56 (P1(f4(a1,a1),f4(f4(a1,a1),f4(a1,a1)),a1)),
% 12.45/12.56 inference(scs_inference,[],[67,158,179,100,6,7])).
% 12.45/12.56 cnf(222,plain,
% 12.45/12.56 (~P1(f4(a1,f4(a1,a1)),f4(a1,a1),a2)),
% 12.45/12.56 inference(scs_inference,[],[62,67,189,7])).
% 12.45/12.56 cnf(223,plain,
% 12.45/12.56 (P1(f4(x2231,x2231),x2231,f4(x2231,f4(x2231,x2231)))),
% 12.45/12.56 inference(rename_variables,[],[67])).
% 12.45/12.56 cnf(225,plain,
% 12.45/12.56 (P1(f4(a1,f4(a1,a1)),f4(a1,a1),a1)),
% 12.45/12.56 inference(scs_inference,[],[62,67,223,189,140,7,6])).
% 12.45/12.56 cnf(229,plain,
% 12.45/12.56 (~P1(f4(a1,a1),f4(f4(a1,a1),f4(a1,a1)),a2)),
% 12.45/12.56 inference(scs_inference,[],[67,222,196,6])).
% 12.45/12.56 cnf(232,plain,
% 12.45/12.56 (~P1(f4(a1,a1),a1,a2)),
% 12.45/12.56 inference(scs_inference,[],[67,222,196,8,6,7])).
% 12.45/12.56 cnf(235,plain,
% 12.45/12.56 (~P1(f4(f4(a1,a1),f4(a1,a1)),f3(a2),f4(a2,a2))),
% 12.45/12.56 inference(scs_inference,[],[114,219,3,7])).
% 12.45/12.56 cnf(242,plain,
% 12.45/12.56 (P1(a1,f4(f4(a1,a1),f4(a1,a1)),a1)),
% 12.45/12.56 inference(scs_inference,[],[201,225,6])).
% 12.45/12.56 cnf(244,plain,
% 12.45/12.56 (P1(f4(f4(a1,a1),f4(a1,a1)),a1,a1)),
% 12.45/12.56 inference(scs_inference,[],[217,242,196,6])).
% 12.45/12.56 cnf(246,plain,
% 12.45/12.56 (~P1(f3(a2),f4(a1,a1),a1)),
% 12.45/12.56 inference(scs_inference,[],[199,109,8,6])).
% 12.45/12.56 cnf(250,plain,
% 12.45/12.56 (P1(f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[199,244,109,158,8,6,7])).
% 12.45/12.56 cnf(252,plain,
% 12.45/12.56 (~P1(a1,f4(a1,a1),a2)),
% 12.45/12.56 inference(scs_inference,[],[176,189,122,7])).
% 12.45/12.56 cnf(261,plain,
% 12.45/12.56 (P1(a1,f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[250,179,196,7])).
% 12.45/12.56 cnf(264,plain,
% 12.45/12.56 (P1(f4(f4(a1,a1),f4(a1,a1)),a1,f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[261,179,6])).
% 12.45/12.56 cnf(266,plain,
% 12.45/12.56 (P1(f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1),a1)),
% 12.45/12.56 inference(scs_inference,[],[261,199,250,179,2,6,7])).
% 12.45/12.56 cnf(275,plain,
% 12.45/12.56 (~P1(f4(a1,a1),f4(f4(a1,a1),f4(a1,a1)),f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[264,261,266,109,199,6,7])).
% 12.45/12.56 cnf(282,plain,
% 12.45/12.56 (~P1(f4(a1,f4(a1,a1)),f3(a2),f4(a2,a2))),
% 12.45/12.56 inference(scs_inference,[],[81,85,67,2,3,1,6,7])).
% 12.45/12.56 cnf(290,plain,
% 12.45/12.56 (~P1(a1,f4(f4(a1,a1),f4(a1,a1)),a2)),
% 12.45/12.56 inference(scs_inference,[],[96,215,282,244,3,1,6,7])).
% 12.45/12.56 cnf(294,plain,
% 12.45/12.56 (P1(f4(a1,a1),f4(a1,f3(a1)),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[264,31,6])).
% 12.45/12.56 cnf(303,plain,
% 12.45/12.56 (P1(f4(a1,a1),f4(f4(a1,a1),a1),a1)),
% 12.45/12.56 inference(scs_inference,[],[96,100,4,2,3,6,7])).
% 12.45/12.56 cnf(307,plain,
% 12.45/12.56 (~P1(f4(a1,a1),f4(a1,f3(a1)),a2)),
% 12.45/12.56 inference(scs_inference,[],[232,294,1,6])).
% 12.45/12.56 cnf(313,plain,
% 12.45/12.56 (~P1(f4(a1,f4(a1,a1)),a1,f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[100,109,124,6])).
% 12.45/12.56 cnf(316,plain,
% 12.45/12.56 (~P1(f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1),a2)),
% 12.45/12.56 inference(scs_inference,[],[100,109,229,124,217,196,6,7])).
% 12.45/12.56 cnf(319,plain,
% 12.45/12.56 (P1(a1,f4(f4(a1,a1),a1),a1)),
% 12.45/12.56 inference(scs_inference,[],[100,303,225,6])).
% 12.45/12.56 cnf(321,plain,
% 12.45/12.56 (~P1(f4(a1,a1),f4(a1,a1),f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[100,275,303,225,217,1,6,7])).
% 12.45/12.56 cnf(325,plain,
% 12.45/12.56 (~P1(a1,a2,f4(f4(a1,a1),f4(a1,a1)))),
% 12.45/12.56 inference(scs_inference,[],[219,4,67,6])).
% 12.45/12.56 cnf(330,plain,
% 12.45/12.56 (~P1(f4(f4(a1,a1),f4(a1,a1)),a1,f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[109,244,124,6])).
% 12.45/12.56 cnf(333,plain,
% 12.45/12.56 (~P1(f4(f4(a1,a1),f4(a1,a1)),a1,a2)),
% 12.45/12.56 inference(scs_inference,[],[290,242,244,6])).
% 12.45/12.56 cnf(335,plain,
% 12.45/12.56 (~P1(a1,f4(f4(a1,a1),a1),f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[290,330,319,242,244,6,7])).
% 12.45/12.56 cnf(341,plain,
% 12.45/12.56 (P1(f4(a1,a1),f4(f4(a1,a1),a1),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[114,303,250,264,3,7,6])).
% 12.45/12.56 cnf(347,plain,
% 12.45/12.56 (P1(f4(a1,f4(a1,a1)),x3471,f4(a1,a1))+~P1(a1,x3471,f4(f4(a1,a1),a1))),
% 12.45/12.56 inference(scs_inference,[],[341,325,217,67,1,7,6])).
% 12.45/12.56 cnf(350,plain,
% 12.45/12.56 (~P1(a1,x3501,a2)+~P1(a1,x3501,f4(f4(a1,a1),a1))),
% 12.45/12.56 inference(scs_inference,[],[252,149,347,7])).
% 12.45/12.56 cnf(353,plain,
% 12.45/12.56 (~P1(f4(a1,a1),f4(f4(a1,a1),a1),f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[316,246,341,266,303,8,7,6])).
% 12.45/12.56 cnf(356,plain,
% 12.45/12.56 (~P1(f4(a1,f4(a1,a1)),f4(a1,a1),f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[335,341,225,6])).
% 12.45/12.56 cnf(358,plain,
% 12.45/12.56 (~P1(f4(a1,a1),f4(f4(a1,a1),a1),a2)),
% 12.45/12.56 inference(scs_inference,[],[122,335,222,341,225,6,7])).
% 12.45/12.56 cnf(362,plain,
% 12.45/12.56 (P1(x3621,x3622,f4(x3621,x3622))),
% 12.45/12.56 inference(rename_variables,[],[3])).
% 12.45/12.56 cnf(364,plain,
% 12.45/12.56 (~P1(a1,f4(a1,f3(a2)),f4(a2,a2))),
% 12.45/12.56 inference(scs_inference,[],[114,235,179,140,3,362,7,6])).
% 12.45/12.56 cnf(368,plain,
% 12.45/12.56 (P1(f4(f4(a1,a1),a1),a1,f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[128,170,3,6])).
% 12.45/12.56 cnf(375,plain,
% 12.45/12.56 (P1(f4(f4(a1,a1),a1),a1,a1)),
% 12.45/12.56 inference(scs_inference,[],[124,368,2,7])).
% 12.45/12.56 cnf(378,plain,
% 12.45/12.56 (~P1(f4(a1,a1),f4(a1,f4(a1,a1)),f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[122,128,356,7])).
% 12.45/12.56 cnf(380,plain,
% 12.45/12.56 (~P1(f3(a2),f4(a1,f4(a1,a1)),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[122,128,321,356,8,7,6])).
% 12.45/12.56 cnf(383,plain,
% 12.45/12.56 (~P1(f4(a1,a1),a1,f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[128,378,1,7])).
% 12.45/12.56 cnf(386,plain,
% 12.45/12.56 (~P1(f4(f4(a1,a1),a1),a1,f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[128,378,353,319,368,1,7,6])).
% 12.45/12.56 cnf(389,plain,
% 12.45/12.56 (~P1(f4(f4(a1,a1),f4(a1,a1)),f3(a1),a2)),
% 12.45/12.56 inference(scs_inference,[],[204,219,3,7])).
% 12.45/12.56 cnf(392,plain,
% 12.45/12.56 (~P1(f3(a2),f4(a1,a1),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[128,380,204,219,3,8,7,6])).
% 12.45/12.56 cnf(395,plain,
% 12.45/12.56 (P1(f4(f4(a1,a1),a1),f4(a1,a1),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[375,261,7])).
% 12.45/12.56 cnf(398,plain,
% 12.45/12.56 (~P1(a1,f4(a1,f4(a1,a1)),f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[128,140,321,7])).
% 12.45/12.56 cnf(400,plain,
% 12.45/12.56 (~P1(f4(a1,a1),a2,f3(x4001))),
% 12.45/12.56 inference(scs_inference,[],[50,199,3,7])).
% 12.45/12.56 cnf(404,plain,
% 12.45/12.56 (P1(a1,f4(a1,a1),f4(f4(a1,a1),a1))),
% 12.45/12.56 inference(scs_inference,[],[140,3,6])).
% 12.45/12.56 cnf(407,plain,
% 12.45/12.56 (~P1(a1,f3(f4(x4071,a2)),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[137,140,8,3,6,7])).
% 12.45/12.56 cnf(410,plain,
% 12.45/12.56 (~P1(a1,f4(a1,a1),f4(f4(a1,a1),a2))),
% 12.45/12.56 inference(scs_inference,[],[211,149,173,6])).
% 12.45/12.56 cnf(412,plain,
% 12.45/12.56 (P1(f4(f4(a1,a1),a1),f4(a1,a1),a1)),
% 12.45/12.56 inference(scs_inference,[],[395,211,149,199,173,2,6,7])).
% 12.45/12.56 cnf(415,plain,
% 12.45/12.56 (~P1(f3(a2),f4(f4(a1,a1),a1),f4(a2,a2))),
% 12.45/12.56 inference(scs_inference,[],[395,211,149,199,173,2,6,7,134])).
% 12.45/12.56 cnf(418,plain,
% 12.45/12.56 (~P1(f4(a2,a2),f4(f4(a1,a1),a1),f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[144,412,1,6])).
% 12.45/12.56 cnf(421,plain,
% 12.45/12.56 (~P1(f4(a1,a1),f4(a1,a1),f4(f4(a1,a1),a2))),
% 12.45/12.56 inference(scs_inference,[],[144,412,410,261,250,1,6,7])).
% 12.45/12.56 cnf(424,plain,
% 12.45/12.56 (~P1(f4(f4(a1,a1),a2),f4(a1,a1),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[140,421,1,6])).
% 12.45/12.56 cnf(431,plain,
% 12.45/12.56 (~P1(a1,a1,f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[398,170,1,7])).
% 12.45/12.56 cnf(438,plain,
% 12.45/12.56 (~P1(a1,f4(f4(a1,a1),f4(a1,a1)),f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[386,412,219,7])).
% 12.45/12.56 cnf(441,plain,
% 12.45/12.56 (~P1(f3(x4411),f4(f4(a1,a1),a1),f4(a1,a2))),
% 12.45/12.56 inference(scs_inference,[],[208,395,8,7])).
% 12.45/12.56 cnf(453,plain,
% 12.45/12.56 (~P1(f3(x4531),a1,f4(a1,a2))),
% 12.45/12.56 inference(scs_inference,[],[164,158,8,6])).
% 12.45/12.56 cnf(457,plain,
% 12.45/12.56 (P1(a1,a1,f4(f4(a1,a1),a1))),
% 12.45/12.56 inference(scs_inference,[],[319,412,404,7])).
% 12.45/12.56 cnf(460,plain,
% 12.45/12.56 (P1(f4(a1,a1),f4(a1,a1),f4(f4(a1,a1),a1))),
% 12.45/12.56 inference(scs_inference,[],[158,457,225,6])).
% 12.45/12.56 cnf(469,plain,
% 12.45/12.56 (~P1(a1,a2,f4(f4(a1,a1),a1))),
% 12.45/12.56 inference(scs_inference,[],[158,4,8,6,347])).
% 12.45/12.56 cnf(483,plain,
% 12.45/12.56 (~P1(a2,f4(a1,a1),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[307,294,8,6])).
% 12.45/12.56 cnf(487,plain,
% 12.45/12.56 (P1(a1,f4(f4(a1,a1),a1),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[173,303,225,6])).
% 12.45/12.56 cnf(489,plain,
% 12.45/12.56 (P1(x4891,f3(x4891),f4(a1,f4(a1,a1)))),
% 12.45/12.56 inference(scs_inference,[],[173,170,303,225,2,1,6,7])).
% 12.45/12.56 cnf(492,plain,
% 12.45/12.56 (~P1(a2,a1,a1)),
% 12.45/12.56 inference(scs_inference,[],[483,487,7])).
% 12.45/12.56 cnf(501,plain,
% 12.45/12.56 (P1(f4(a1,a1),f3(a1),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[173,489,27,225,2,7,6])).
% 12.45/12.56 cnf(507,plain,
% 12.45/12.56 (P1(f4(a1,a1),f4(f3(a1),f3(a1)),f4(a1,a1))),
% 12.45/12.56 inference(scs_inference,[],[501,76,3,6,7])).
% 12.45/12.56 cnf(511,plain,
% 12.45/12.56 (~P1(x5111,f3(x5111),f3(a2))),
% 12.45/12.56 inference(scs_inference,[],[313,489,1,6])).
% 12.45/12.56 cnf(514,plain,
% 12.45/12.56 (~P1(f3(a2),a1,a1)),
% 12.45/12.56 inference(scs_inference,[],[313,489,392,487,1,6,7])).
% 12.45/12.56 cnf(525,plain,
% 12.45/12.57 (P1(a1,f4(f3(a1),f3(a1)),a1)),
% 12.45/12.57 inference(scs_inference,[],[507,514,489,412,225,7,6])).
% 12.45/12.57 cnf(528,plain,
% 12.45/12.57 (P1(f4(a1,a1),f3(f3(a1)),a1)),
% 12.45/12.57 inference(scs_inference,[],[176,489,501,6])).
% 12.45/12.57 cnf(531,plain,
% 12.45/12.57 (P1(x5311,f3(x5311),f4(f4(a1,a1),f4(a1,a1)))),
% 12.45/12.57 inference(scs_inference,[],[176,179,489,501,2,1,6,7])).
% 12.45/12.57 cnf(537,plain,
% 12.45/12.57 (~P1(f4(f4(a1,a1),a2),a1,a1)),
% 12.45/12.57 inference(scs_inference,[],[182,179,424,487,1,6,7])).
% 12.45/12.57 cnf(540,plain,
% 12.45/12.57 (~P1(f4(a1,a1),f4(f4(a1,a1),a2),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[185,8,6])).
% 12.45/12.57 cnf(544,plain,
% 12.45/12.57 (~P1(f4(a1,a2),f4(f3(a1),f3(a1)),f3(x5441))),
% 12.45/12.57 inference(scs_inference,[],[185,182,525,8,1,6,7])).
% 12.45/12.57 cnf(547,plain,
% 12.45/12.57 (P1(f4(f4(a1,a1),f4(a1,a1)),f3(a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[179,31,3,6])).
% 12.45/12.57 cnf(555,plain,
% 12.45/12.57 (P1(f4(a1,a1),f3(a1),f4(f4(a1,a1),f4(a1,a1)))),
% 12.45/12.57 inference(scs_inference,[],[547,201,217,6])).
% 12.45/12.57 cnf(557,plain,
% 12.45/12.57 (P1(x5571,f4(f3(x5571),f3(a1)),a1)),
% 12.45/12.57 inference(scs_inference,[],[547,531,201,217,3,6,7])).
% 12.45/12.57 cnf(564,plain,
% 12.45/12.57 (~P1(a2,x5641,x5641)),
% 12.45/12.57 inference(scs_inference,[],[492,511,557,528,1,6,7])).
% 12.45/12.57 cnf(567,plain,
% 12.45/12.57 (~P1(a2,f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[189,250,8,6])).
% 12.45/12.57 cnf(573,plain,
% 12.45/12.57 (~P1(f4(a1,a1),a2,f4(f3(a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[196,557,4,6])).
% 12.45/12.57 cnf(577,plain,
% 12.45/12.57 (~P1(f4(a1,a1),a1,f4(f4(a1,a1),a2))),
% 12.45/12.57 inference(scs_inference,[],[196,460,540,557,368,4,6,7])).
% 12.45/12.57 cnf(580,plain,
% 12.45/12.57 (~P1(f4(f4(a1,a1),a1),f4(a1,a1),f3(a2))),
% 12.45/12.57 inference(scs_inference,[],[199,511,395,6])).
% 12.45/12.57 cnf(588,plain,
% 12.45/12.57 (~P1(a2,a1,f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[358,319,1,6])).
% 12.45/12.57 cnf(592,plain,
% 12.45/12.57 (P1(f4(a1,a1),f3(a1),f4(a1,f4(a1,a1)))),
% 12.45/12.57 inference(scs_inference,[],[201,547,67,6])).
% 12.45/12.57 cnf(595,plain,
% 12.45/12.57 (P1(f4(a1,a1),f3(f3(a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[201,531,501,6])).
% 12.45/12.57 cnf(607,plain,
% 12.45/12.57 (P1(x6071,f3(x6071),f4(f4(a1,a1),a1))),
% 12.45/12.57 inference(scs_inference,[],[457,2,1,7])).
% 12.45/12.57 cnf(610,plain,
% 12.45/12.57 (P1(f4(a1,a1),f3(a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[199,457,557,2,1,3,7,6])).
% 12.45/12.57 cnf(616,plain,
% 12.45/12.57 (P1(f4(a1,f4(a1,a1)),f3(a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[199,457,557,2,1,3,7,6,350,347])).
% 12.45/12.57 cnf(619,plain,
% 12.45/12.57 (P1(a1,f3(f3(a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[607,610,341,6])).
% 12.45/12.57 cnf(626,plain,
% 12.45/12.57 (~P1(a2,f4(a1,a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[592,619,511,564,489,8,6,7])).
% 12.45/12.57 cnf(631,plain,
% 12.45/12.57 (~P1(f3(x6311),f4(f3(a1),f3(a1)),f4(a1,a2))),
% 12.45/12.57 inference(scs_inference,[],[208,507,8,7])).
% 12.45/12.57 cnf(643,plain,
% 12.45/12.57 (P1(a1,f3(f3(a1)),a1)),
% 12.45/12.57 inference(scs_inference,[],[469,607,595,266,8,7,6])).
% 12.45/12.57 cnf(645,plain,
% 12.45/12.57 (P1(x6451,f4(f3(x6451),a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[375,607,3,7])).
% 12.45/12.57 cnf(648,plain,
% 12.45/12.57 (P1(f4(a1,a1),f3(a1),f4(f4(a1,a1),a1))),
% 12.45/12.57 inference(scs_inference,[],[616,460,375,607,128,3,7,6])).
% 12.45/12.57 cnf(651,plain,
% 12.45/12.57 (~P1(f4(f4(a1,a1),a2),x6511,x6511)),
% 12.45/12.57 inference(scs_inference,[],[537,645,7])).
% 12.45/12.57 cnf(661,plain,
% 12.45/12.57 (~P1(f4(f3(a2),a1),a1,f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[215,415,648,645,3,8,7,6])).
% 12.45/12.57 cnf(667,plain,
% 12.45/12.57 (P1(a1,f3(a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[219,577,547,1,7,6])).
% 12.45/12.57 cnf(671,plain,
% 12.45/12.57 (P1(f4(a1,a1),f4(f3(a1),a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[648,375,3,7])).
% 12.45/12.57 cnf(674,plain,
% 12.45/12.57 (~P1(x6741,f4(f4(a1,a1),f4(a1,a1)),a2)),
% 12.45/12.57 inference(scs_inference,[],[648,375,531,14,645,3,7,6])).
% 12.45/12.57 cnf(678,plain,
% 12.45/12.57 (~P1(f4(f4(a1,a1),a2),f4(a1,a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[651,671,645,7])).
% 12.45/12.57 cnf(687,plain,
% 12.45/12.57 (~P1(a2,f3(f3(a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[588,643,1,7])).
% 12.45/12.57 cnf(692,plain,
% 12.45/12.57 (~P1(a1,f4(f3(a1),f3(a1)),a2)),
% 12.45/12.57 inference(scs_inference,[],[222,225,507,7])).
% 12.45/12.57 cnf(694,plain,
% 12.45/12.57 (~P1(f4(a1,a1),f4(f3(a1),a1),a2)),
% 12.45/12.57 inference(scs_inference,[],[222,225,333,555,507,3,7,6])).
% 12.45/12.57 cnf(702,plain,
% 12.45/12.57 (P1(f3(a1),a1,f4(f4(a1,a1),a1))),
% 12.45/12.57 inference(scs_inference,[],[528,607,8,7])).
% 12.45/12.57 cnf(706,plain,
% 12.45/12.57 (P1(f4(f4(a1,a1),a1),f3(a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[528,592,607,149,404,8,7,6])).
% 12.45/12.57 cnf(710,plain,
% 12.45/12.57 (~P1(f3(a1),f4(f4(a1,a1),a1),f3(a2))),
% 12.45/12.57 inference(scs_inference,[],[580,706,702,104,319,404,7,6])).
% 12.45/12.57 cnf(715,plain,
% 12.45/12.57 (~P1(f4(f4(a1,a1),a1),a1,a2)),
% 12.45/12.57 inference(scs_inference,[],[222,225,567,595,242,368,7,6])).
% 12.45/12.57 cnf(718,plain,
% 12.45/12.57 (~P1(f4(a2,a2),f3(a1),f3(a2))),
% 12.45/12.57 inference(scs_inference,[],[418,702,1,7])).
% 12.45/12.57 cnf(721,plain,
% 12.45/12.57 (P1(f4(f4(a1,a1),a1),f3(a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[418,702,460,555,201,1,7,6])).
% 12.45/12.57 cnf(723,plain,
% 12.45/12.57 (P1(f3(a1),f4(a1,a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[721,667,702,7])).
% 12.45/12.57 cnf(726,plain,
% 12.45/12.57 (~P1(f4(a1,a1),f3(a1),a2)),
% 12.45/12.57 inference(scs_inference,[],[723,610,4,7])).
% 12.45/12.57 cnf(729,plain,
% 12.45/12.57 (~P1(f4(f3(a2),a1),a1,a1)),
% 12.45/12.57 inference(scs_inference,[],[661,643,619,7])).
% 12.45/12.57 cnf(733,plain,
% 12.45/12.57 (~P1(f4(a1,a1),f3(a1),f3(a2))),
% 12.45/12.57 inference(scs_inference,[],[438,648,555,487,62,196,6,7])).
% 12.45/12.57 cnf(739,plain,
% 12.45/12.57 (P1(f3(a1),a1,a1)),
% 12.45/12.57 inference(scs_inference,[],[651,723,528,6,7])).
% 12.45/12.57 cnf(755,plain,
% 12.45/12.57 (P1(x7551,x7552,f4(x7551,x7552))),
% 12.45/12.57 inference(rename_variables,[],[3])).
% 12.45/12.57 cnf(757,plain,
% 12.45/12.57 (P1(f4(f3(a1),f3(a1)),a1,a1)),
% 12.45/12.57 inference(scs_inference,[],[193,739,592,3,755,7,6])).
% 12.45/12.57 cnf(761,plain,
% 12.45/12.57 (~P1(f3(a1),a2,f4(f4(a1,a1),f4(a1,a1)))),
% 12.45/12.57 inference(scs_inference,[],[242,531,4,6])).
% 12.45/12.57 cnf(765,plain,
% 12.45/12.57 (P1(x7651,f4(f3(x7651),f3(a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[242,721,531,607,4,3,6,7])).
% 12.45/12.57 cnf(771,plain,
% 12.45/12.57 (~P1(f3(a2),x7711,x7711)),
% 12.45/12.57 inference(scs_inference,[],[765,469,392,460,610,6,7])).
% 12.45/12.57 cnf(773,plain,
% 12.45/12.57 (~P1(f3(a1),a1,f3(a2))),
% 12.45/12.57 inference(scs_inference,[],[710,319,1,6])).
% 12.45/12.57 cnf(779,plain,
% 12.45/12.57 (P1(a1,f3(a1),f4(f3(a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[757,667,8,6])).
% 12.45/12.57 cnf(786,plain,
% 12.45/12.57 (P1(f4(a1,a1),f4(f3(a1),f3(a1)),a1)),
% 12.45/12.57 inference(scs_inference,[],[706,648,3,7])).
% 12.45/12.57 cnf(805,plain,
% 12.45/12.57 (P1(x8051,f4(a1,a1),x8051)),
% 12.45/12.57 inference(rename_variables,[],[8])).
% 12.45/12.57 cnf(807,plain,
% 12.45/12.57 (P1(a1,f4(a1,a1),f4(f3(a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[252,786,779,723,8,805,6,7])).
% 12.45/12.57 cnf(811,plain,
% 12.45/12.57 (~P1(f3(a2),f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[264,383,8,6])).
% 12.45/12.57 cnf(814,plain,
% 12.45/12.57 (~P1(a2,a1,f4(a1,f4(a1,a1)))),
% 12.45/12.57 inference(scs_inference,[],[264,383,567,616,531,8,6,7])).
% 12.45/12.57 cnf(817,plain,
% 12.45/12.57 (P1(f4(f3(a1),f3(a1)),f4(a1,a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[723,3,6])).
% 12.45/12.57 cnf(832,plain,
% 12.45/12.57 (P1(f4(a1,a1),f4(a1,a1),f4(f3(a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[261,817,811,807,786,6,7])).
% 12.45/12.57 cnf(836,plain,
% 12.45/12.57 (P1(f3(a1),f4(f4(a1,a1),a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[694,817,721,702,671,607,6,7])).
% 12.45/12.57 cnf(840,plain,
% 12.45/12.57 (P1(f4(a1,a1),a1,f4(f3(a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[264,807,261,6])).
% 12.45/12.57 cnf(845,plain,
% 12.45/12.57 (~P1(x8451,a2,f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[266,4,3,6])).
% 12.45/12.57 cnf(856,plain,
% 12.45/12.57 (~P1(a2,f4(f3(a1),f3(a1)),a1)),
% 12.45/12.57 inference(scs_inference,[],[626,832,8,6])).
% 12.45/12.57 cnf(859,plain,
% 12.45/12.57 (P1(f3(a1),f4(f4(a1,a1),a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[626,832,706,702,607,8,6,7])).
% 12.45/12.57 cnf(862,plain,
% 12.45/12.57 (P1(a1,a1,f4(f3(a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[840,757,786,6])).
% 12.45/12.57 cnf(864,plain,
% 12.45/12.57 (P1(f3(a1),a1,f4(f3(a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[840,836,757,786,375,6,7])).
% 12.45/12.57 cnf(875,plain,
% 12.45/12.57 (P1(f4(f3(a1),f3(a1)),a1,f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[544,864,862,765,1,7,6])).
% 12.45/12.57 cnf(882,plain,
% 12.45/12.57 (P1(f3(a1),f4(f3(a1),f3(a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[875,771,864,862,739,6,7])).
% 12.45/12.57 cnf(887,plain,
% 12.45/12.57 (P1(f3(a1),f4(a1,a1),f4(f3(a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[882,573,875,840,779,619,6,7])).
% 12.45/12.57 cnf(895,plain,
% 12.45/12.57 (P1(f4(a1,a1),f3(a1),f4(f3(a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[864,706,836,6])).
% 12.45/12.57 cnf(897,plain,
% 12.45/12.57 (~P1(f3(a1),f3(a1),a2)),
% 12.45/12.57 inference(scs_inference,[],[845,864,616,706,836,592,6,7])).
% 12.45/12.57 cnf(901,plain,
% 12.45/12.57 (P1(f4(f3(a1),f3(a1)),f3(a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[887,895,882,6])).
% 12.45/12.57 cnf(903,plain,
% 12.45/12.57 (~P1(f4(f3(a1),f3(a1)),f3(a2),f4(a2,a2))),
% 12.45/12.57 inference(scs_inference,[],[887,364,895,882,862,3,6,7])).
% 12.45/12.57 cnf(908,plain,
% 12.45/12.57 (P1(f3(a1),a1,f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[901,407,887,757,610,6,7])).
% 12.45/12.57 cnf(920,plain,
% 12.45/12.57 (P1(f4(f3(a1),f3(a1)),f3(a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[303,687,908,832,648,1,7,6])).
% 12.45/12.57 cnf(928,plain,
% 12.45/12.57 (P1(f3(a1),f4(f3(a1),f3(a1)),a1)),
% 12.45/12.57 inference(scs_inference,[],[920,895,887,7])).
% 12.45/12.57 cnf(933,plain,
% 12.45/12.57 (~P1(a2,f4(f3(a1),f3(a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[726,920,1,6])).
% 12.45/12.57 cnf(941,plain,
% 12.45/12.57 (P1(f4(f3(a1),f3(a1)),f4(a1,a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[933,928,875,862,832,887,7,6])).
% 12.45/12.57 cnf(946,plain,
% 12.45/12.57 (~P1(f4(f3(a1),f3(a1)),f4(a1,a1),f3(a2))),
% 12.45/12.57 inference(scs_inference,[],[733,895,8,7])).
% 12.45/12.57 cnf(964,plain,
% 12.45/12.57 (~P1(a2,f4(f3(a1),f3(a1)),f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[313,897,928,920,616,1,7,6])).
% 12.45/12.57 cnf(968,plain,
% 12.45/12.57 (P1(a1,f4(f3(a1),a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[941,875,671,6])).
% 12.45/12.57 cnf(970,plain,
% 12.45/12.57 (~P1(f3(a1),f4(f3(a1),f3(a1)),f3(a2))),
% 12.45/12.57 inference(scs_inference,[],[773,941,875,671,8,6,7])).
% 12.45/12.57 cnf(973,plain,
% 12.45/12.57 (P1(f3(a1),f4(a1,a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[968,739,645,7])).
% 12.45/12.57 cnf(976,plain,
% 12.45/12.57 (~P1(x9761,a2,f4(f4(a1,a1),a1))),
% 12.45/12.57 inference(scs_inference,[],[319,968,739,645,4,3,7,6])).
% 12.45/12.57 cnf(994,plain,
% 12.45/12.57 (P1(x9941,f4(a1,a1),x9941)),
% 12.45/12.57 inference(rename_variables,[],[8])).
% 12.45/12.57 cnf(996,plain,
% 12.45/12.57 (P1(f3(a1),f3(a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[330,973,895,882,8,994,7,6])).
% 12.45/12.57 cnf(1002,plain,
% 12.45/12.57 (P1(f3(a1),f4(a1,a1),f4(f4(a1,a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[996,678,928,807,3,6,7])).
% 12.45/12.57 cnf(1005,plain,
% 12.45/12.57 (~P1(f4(a1,a1),f4(f4(a1,a1),a1),f4(a1,a2))),
% 12.45/12.57 inference(scs_inference,[],[453,996,859,7])).
% 12.45/12.57 cnf(1012,plain,
% 12.45/12.57 (~P1(a1,f4(f4(a1,a1),f3(a1)),f3(a2))),
% 12.45/12.57 inference(scs_inference,[],[946,1002,779,6])).
% 12.45/12.57 cnf(1016,plain,
% 12.45/12.57 (P1(a1,f3(a1),f4(f4(a1,a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1002,859,721,6])).
% 12.45/12.57 cnf(1018,plain,
% 12.45/12.57 (~P1(a2,a1,f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[964,1002,859,862,721,1,6,7])).
% 12.45/12.57 cnf(1024,plain,
% 12.45/12.57 (P1(a1,f4(a1,a1),f4(f4(a1,a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1016,661,836,908,457,1,6,7])).
% 12.45/12.57 cnf(1028,plain,
% 12.45/12.57 (~P1(f4(f4(a1,a1),f3(a1)),f4(a1,a1),f3(a2))),
% 12.45/12.57 inference(scs_inference,[],[431,1016,973,7])).
% 12.45/12.57 cnf(1040,plain,
% 12.45/12.57 (~P1(f3(a1),f4(a1,a1),f3(a2))),
% 12.45/12.57 inference(scs_inference,[],[970,832,8,7])).
% 12.45/12.57 cnf(1043,plain,
% 12.45/12.57 (P1(f4(f4(a1,a1),f3(a1)),f3(a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[970,1024,895,832,765,8,7,6])).
% 12.45/12.57 cnf(1050,plain,
% 12.45/12.57 (P1(f3(a1),f4(a1,a1),f4(f4(a1,a1),a1))),
% 12.45/12.57 inference(scs_inference,[],[341,651,996,648,3,6,7])).
% 12.45/12.57 cnf(1055,plain,
% 12.45/12.57 (~P1(f3(a2),f3(a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[335,1043,1024,407,859,1,7,6])).
% 12.45/12.57 cnf(1066,plain,
% 12.45/12.57 (P1(a1,a1,f4(f4(a1,a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1024,149,173,6])).
% 12.45/12.57 cnf(1070,plain,
% 12.45/12.57 (P1(f4(f4(a1,a1),f3(a1)),f4(a1,a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[1043,882,507,7])).
% 12.45/12.57 cnf(1073,plain,
% 12.45/12.57 (P1(a1,f4(f4(a1,a1),f3(a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[1070,1066,1024,7])).
% 12.45/12.57 cnf(1076,plain,
% 12.45/12.57 (P1(f4(f4(a1,a1),f3(a1)),a1,a1)),
% 12.45/12.57 inference(scs_inference,[],[1070,610,7])).
% 12.45/12.57 cnf(1087,plain,
% 12.45/12.57 (~P1(f3(a1),f4(f4(a1,a1),f3(a1)),a2)),
% 12.45/12.57 inference(scs_inference,[],[715,1066,702,6])).
% 12.45/12.57 cnf(1100,plain,
% 12.45/12.57 (P1(a1,f4(f4(a1,a1),f3(a1)),a1)),
% 12.45/12.57 inference(scs_inference,[],[1076,1066,7])).
% 12.45/12.57 cnf(1102,plain,
% 12.45/12.57 (P1(f4(a1,a1),f4(f4(a1,a1),f3(a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[1100,875,6])).
% 12.45/12.57 cnf(1104,plain,
% 12.45/12.57 (P1(f3(a1),f4(f4(a1,a1),f4(a1,a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[1100,595,875,996,531,6,7])).
% 12.45/12.57 cnf(1122,plain,
% 12.45/12.57 (~P1(f4(a1,a1),f4(f4(a1,a1),f3(a1)),f3(a2))),
% 12.45/12.57 inference(scs_inference,[],[368,1028,1005,1102,1070,487,6,7])).
% 12.45/12.57 cnf(1124,plain,
% 12.45/12.57 (P1(f3(a1),f4(f4(a1,a1),f3(a1)),a1)),
% 12.45/12.57 inference(scs_inference,[],[1024,941,864,7])).
% 12.45/12.57 cnf(1131,plain,
% 12.45/12.57 (P1(f4(a1,a1),a1,f4(f4(a1,a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1040,1076,1073,968,739,1066,7,6])).
% 12.45/12.57 cnf(1139,plain,
% 12.45/12.57 (P1(f3(a1),f4(f4(a1,a1),f3(a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[368,1050,1131,7])).
% 12.45/12.57 cnf(1144,plain,
% 12.45/12.57 (~P1(f3(a2),a1,f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[380,149,1,6])).
% 12.45/12.57 cnf(1147,plain,
% 12.45/12.57 (~P1(f4(f3(a2),a1),f4(a1,a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[380,729,786,149,1,6,7])).
% 12.45/12.57 cnf(1149,plain,
% 12.45/12.57 (P1(f4(a1,a1),f4(f4(a1,a1),f3(a1)),a1)),
% 12.45/12.57 inference(scs_inference,[],[1139,616,225,6])).
% 12.45/12.57 cnf(1161,plain,
% 12.45/12.57 (P1(f4(f4(a1,a1),f3(a1)),f4(a1,a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[380,1043,968,1076,645,6,7])).
% 12.45/12.57 cnf(1171,plain,
% 12.45/12.57 (P1(f4(a1,a1),f4(a1,a1),f4(f4(a1,a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1161,1102,1131,6])).
% 12.45/12.57 cnf(1181,plain,
% 12.45/12.57 (P1(f3(a1),f4(a1,a1),f4(f4(a1,a1),f4(a1,a1)))),
% 12.45/12.57 inference(scs_inference,[],[395,836,3,7])).
% 12.45/12.57 cnf(1184,plain,
% 12.45/12.57 (~P1(f4(a1,f4(a1,a1)),f3(a1),f3(a2))),
% 12.45/12.57 inference(scs_inference,[],[395,1144,836,616,3,1,7,6])).
% 12.45/12.57 cnf(1195,plain,
% 12.45/12.57 (P1(x11951,f4(a1,a1),x11951)),
% 12.45/12.57 inference(rename_variables,[],[8])).
% 12.45/12.57 cnf(1196,plain,
% 12.45/12.57 (P1(x11961,x11962,x11963)+~P1(x11964,x11965,x11963)+~P1(x11966,x11965,x11962)+~P1(x11961,x11966,x11964)),
% 12.45/12.57 inference(rename_variables,[],[7])).
% 12.45/12.57 cnf(1200,plain,
% 12.45/12.57 (P1(f4(f4(a1,a1),f3(a1)),f3(a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[389,1018,1161,1024,592,149,8,1195,7,1196,6])).
% 12.45/12.57 cnf(1202,plain,
% 12.45/12.57 (P1(f4(f4(a1,a1),f3(a1)),a1,f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[1200,928,765,7])).
% 12.45/12.57 cnf(1224,plain,
% 12.45/12.57 (P1(f3(a1),a1,f4(f4(a1,a1),f4(a1,a1)))),
% 12.45/12.57 inference(scs_inference,[],[400,1202,1124,1200,531,3,6,7])).
% 12.45/12.57 cnf(1227,plain,
% 12.45/12.57 (~P1(a1,f4(x12271,a2),a1)),
% 12.45/12.57 inference(scs_inference,[],[407,487,607,6])).
% 12.45/12.57 cnf(1241,plain,
% 12.45/12.57 (~P1(f3(a2),f3(a1),f4(f4(a1,a1),a1))),
% 12.45/12.57 inference(scs_inference,[],[412,1055,8,7])).
% 12.45/12.57 cnf(1245,plain,
% 12.45/12.57 (P1(f4(f3(a1),a1),f4(a1,a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[404,859,3,6])).
% 12.45/12.57 cnf(1253,plain,
% 12.45/12.57 (P1(f3(a1),f4(f4(a1,a1),f4(a1,a1)),a1)),
% 12.45/12.57 inference(scs_inference,[],[412,1147,1245,1181,1104,1050,3,134,6,7])).
% 12.45/12.57 cnf(1256,plain,
% 12.45/12.57 (~P1(f3(a1),f3(f4(x12561,a2)),a1)),
% 12.45/12.57 inference(scs_inference,[],[407,1202,1200,6])).
% 12.45/12.57 cnf(1268,plain,
% 12.45/12.57 (~P1(f4(f4(a2,a2),f3(a1)),f4(a1,a1),f3(a2))),
% 12.45/12.57 inference(scs_inference,[],[718,8,3,7])).
% 12.45/12.57 cnf(1272,plain,
% 12.45/12.57 (P1(f4(f3(a1),a1),f3(a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[1245,667,1,6])).
% 12.45/12.57 cnf(1275,plain,
% 12.45/12.57 (P1(f4(f3(a1),a1),a1,a1)),
% 12.45/12.57 inference(scs_inference,[],[1245,1100,1149,667,1,6,7])).
% 12.45/12.57 cnf(1280,plain,
% 12.45/12.57 (P1(f3(a1),a1,f4(f4(a1,a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1272,1227,1171,1139,1161,6,7])).
% 12.45/12.57 cnf(1288,plain,
% 12.45/12.57 (~P1(f3(a2),f3(a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[1122,1124,1,6])).
% 12.45/12.57 cnf(1294,plain,
% 12.45/12.57 (P1(f4(f3(a1),a1),a1,f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[1253,1272,261,7])).
% 12.45/12.57 cnf(1297,plain,
% 12.45/12.57 (P1(f3(a1),a1,f4(a1,f4(a1,a1)))),
% 12.45/12.57 inference(scs_inference,[],[1253,244,170,7])).
% 12.45/12.57 cnf(1317,plain,
% 12.45/12.57 (P1(f4(f3(a1),a1),f4(a1,a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[692,1275,1073,882,8,6,7])).
% 12.45/12.57 cnf(1319,plain,
% 12.45/12.57 (P1(f4(a1,f4(a1,a1)),f3(a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[1297,1253,531,6])).
% 12.45/12.57 cnf(1334,plain,
% 12.45/12.57 (P1(f4(a1,a1),a1,f4(a1,f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1319,176,3,7])).
% 12.45/12.57 cnf(1346,plain,
% 12.45/12.57 (~P1(f4(a1,f4(a1,a1)),a1,f4(a1,a2))),
% 12.45/12.57 inference(scs_inference,[],[441,457,1087,1297,1149,1,6,7])).
% 12.45/12.57 cnf(1349,plain,
% 12.45/12.57 (P1(f4(a1,f3(a1)),f3(a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[1334,779,786,6])).
% 12.45/12.57 cnf(1355,plain,
% 12.45/12.57 (P1(f4(a1,f3(a1)),a1,a1)),
% 12.45/12.57 inference(scs_inference,[],[1349,928,557,7])).
% 12.45/12.57 cnf(1359,plain,
% 12.45/12.57 (~P1(a1,f4(f4(a1,a1),f4(a1,a1)),f4(a1,a2))),
% 12.45/12.57 inference(scs_inference,[],[1346,1319,1253,7])).
% 12.45/12.57 cnf(1368,plain,
% 12.45/12.57 (P1(f4(a1,f3(a1)),a1,f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[453,457,1334,1245,341,8,7,6])).
% 12.45/12.57 cnf(1372,plain,
% 12.45/12.57 (P1(f4(a1,f3(a1)),f4(a1,a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[460,1355,1147,619,836,6,7])).
% 12.45/12.57 cnf(1383,plain,
% 12.45/12.57 (P1(f4(a1,a1),f3(a1),f4(a1,f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1334,547,201,6])).
% 12.45/12.57 cnf(1394,plain,
% 12.45/12.57 (P1(f4(a1,f3(a1)),f4(a1,a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[487,1368,1256,1355,303,2,6,7])).
% 12.45/12.57 cnf(1398,plain,
% 12.45/12.57 (~P1(x13981,f3(f4(a2,x13981)),a1)),
% 12.45/12.57 inference(scs_inference,[],[489,1012,1394,814,1102,3,6,7])).
% 12.45/12.57 cnf(1402,plain,
% 12.45/12.57 (P1(a1,f4(a1,a1),f4(a1,f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1334,140,6])).
% 12.45/12.57 cnf(1407,plain,
% 12.45/12.57 (~P1(a1,f4(a2,x14071),x14071)),
% 12.45/12.57 inference(scs_inference,[],[489,1398,149,6])).
% 12.45/12.57 cnf(1416,plain,
% 12.45/12.57 (P1(f4(a1,a1),f4(a1,a1),f4(a1,f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1407,1372,1368,1394,1334,294,6,7])).
% 12.45/12.57 cnf(1423,plain,
% 12.45/12.57 (P1(a1,f3(f4(a1,a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[489,158,8,6])).
% 12.45/12.57 cnf(1427,plain,
% 12.45/12.57 (~P1(a2,f4(a1,a1),f4(a1,f4(a1,a1)))),
% 12.45/12.57 inference(scs_inference,[],[489,856,1319,895,158,8,6,7])).
% 12.45/12.57 cnf(1429,plain,
% 12.45/12.57 (~P1(f4(a1,a1),f4(a1,a1),f4(f3(a2),a1))),
% 12.45/12.57 inference(scs_inference,[],[1416,1147,294,6])).
% 12.45/12.57 cnf(1436,plain,
% 12.45/12.57 (P1(f3(a1),f4(a1,f3(a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[1402,1427,1297,1394,122,6,7])).
% 12.45/12.57 cnf(1442,plain,
% 12.45/12.57 (P1(a1,f4(a1,f3(a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[1436,1317,1272,6])).
% 12.45/12.57 cnf(1446,plain,
% 12.45/12.57 (P1(a1,a1,f4(a1,f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1402,1100,1202,6])).
% 12.45/12.57 cnf(1455,plain,
% 12.45/12.57 (P1(f4(a1,a1),f4(a1,f3(a1)),a1)),
% 12.45/12.57 inference(scs_inference,[],[1241,1383,1416,1349,607,1,6,7])).
% 12.45/12.57 cnf(1472,plain,
% 12.45/12.57 (P1(f3(a1),f4(a1,a1),f4(a1,f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1383,1139,1043,7])).
% 12.45/12.57 cnf(1485,plain,
% 12.45/12.57 (P1(f4(a1,f3(a1)),f3(a1),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[1472,1288,1436,1294,1383,1,7,6])).
% 12.45/12.57 cnf(1487,plain,
% 12.45/12.57 (~P1(f4(a1,a1),f3(f4(a2,a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[1398,1394,6])).
% 12.45/12.57 cnf(1495,plain,
% 12.45/12.57 (P1(f3(a1),a1,f4(a1,f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1485,1487,1416,941,882,6,7])).
% 12.45/12.57 cnf(1513,plain,
% 12.45/12.57 (P1(f3(a1),f4(a1,f3(a1)),a1)),
% 12.45/12.57 inference(scs_inference,[],[1268,1472,1355,1334,3,6,7])).
% 12.45/12.57 cnf(1522,plain,
% 12.45/12.57 (P1(f3(a1),f4(a1,f4(a1,a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[1485,1472,592,7])).
% 12.45/12.57 cnf(1538,plain,
% 12.45/12.57 (~P1(f4(a1,a2),f3(a1),a1)),
% 12.45/12.57 inference(scs_inference,[],[1359,1253,1,6])).
% 12.45/12.57 cnf(1541,plain,
% 12.45/12.57 (P1(f3(a1),f4(a1,f4(a1,a1)),a1)),
% 12.45/12.57 inference(scs_inference,[],[547,1359,1224,1253,489,1,6,7])).
% 12.45/12.57 cnf(1546,plain,
% 12.45/12.57 (P1(f4(a1,a1),f3(a1),f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[547,761,1522,1104,217,1,7,6])).
% 12.45/12.57 cnf(1562,plain,
% 12.45/12.57 (P1(f4(a1,f3(a1)),f3(a1),f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[547,1538,1546,1372,6,7])).
% 12.45/12.57 cnf(1573,plain,
% 12.45/12.57 (P1(f4(f3(a1),a1),f3(a1),f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[1546,1317,7])).
% 12.45/12.57 cnf(1594,plain,
% 12.45/12.57 (P1(x15941,a1,x15941)),
% 12.45/12.57 inference(rename_variables,[],[1])).
% 12.45/12.57 cnf(1597,plain,
% 12.45/12.57 (P1(f4(f3(a1),a1),a1,f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[1184,1573,489,2,1,1594,6,7])).
% 12.45/12.57 cnf(1601,plain,
% 12.45/12.57 (P1(f3(a1),f3(f3(a1)),f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[1597,643,6])).
% 12.45/12.57 cnf(1603,plain,
% 12.45/12.57 (P1(f3(a1),f3(a1),f4(f4(a1,a1),f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1597,1513,1562,643,1016,6,7])).
% 12.45/12.57 cnf(1617,plain,
% 12.45/12.57 (P1(x16171,f3(x16171),a1)),
% 12.45/12.57 inference(rename_variables,[],[2])).
% 12.45/12.57 cnf(1619,plain,
% 12.45/12.57 (P1(f4(a1,f3(a1)),a1,f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[903,1601,1562,2,1617,1,6,7])).
% 12.45/12.57 cnf(1639,plain,
% 12.45/12.57 (P1(x16391,a1,x16391)),
% 12.45/12.57 inference(rename_variables,[],[1])).
% 12.45/12.57 cnf(1641,plain,
% 12.45/12.57 (P1(f4(f3(a1),a1),f4(a1,a1),f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[588,1597,1446,1,1639,8,6,7])).
% 12.45/12.57 cnf(1645,plain,
% 12.45/12.57 (P1(f3(a1),f4(a1,f3(a1)),f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[1641,1597,1442,6])).
% 12.45/12.57 cnf(1650,plain,
% 12.45/12.57 (P1(f3(a1),f3(a1),f4(a1,f3(a1)))),
% 12.45/12.57 inference(scs_inference,[],[1645,1641,1619,1495,1522,164,6,7])).
% 12.45/12.57 cnf(1662,plain,
% 12.45/12.57 (P1(f3(a1),f3(f4(a1,a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[1619,1423,1372,6])).
% 12.45/12.57 cnf(1682,plain,
% 12.45/12.57 (P1(f3(a1),f3(f3(a1)),f4(a1,a1))),
% 12.45/12.57 inference(scs_inference,[],[607,1546,341,6])).
% 12.45/12.57 cnf(1695,plain,
% 12.45/12.57 (P1(f4(f3(a1),x16951),f3(x16951),a1)),
% 12.45/12.57 inference(scs_inference,[],[607,859,3,6])).
% 12.45/12.57 cnf(1714,plain,
% 12.45/12.57 (P1(a1,f3(f3(a1)),f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[1682,1695,1641,6])).
% 12.45/12.57 cnf(1717,plain,
% 12.45/12.57 (P1(f3(a1),f4(a1,a1),f4(a1,f4(a1,a1)))),
% 12.45/12.57 inference(scs_inference,[],[616,1682,1695,1541,1641,489,6,7])).
% 12.45/12.57 cnf(1720,plain,
% 12.45/12.57 (P1(f3(a1),f3(a1),f4(a1,f4(a1,a1)))),
% 12.45/12.57 inference(scs_inference,[],[1717,1645,1485,6])).
% 12.45/12.57 cnf(1754,plain,
% 12.45/12.57 (~P1(f4(a1,f3(a1)),a1,f4(a1,a2))),
% 12.45/12.57 inference(scs_inference,[],[631,1495,862,7])).
% 12.45/12.57 cnf(1760,plain,
% 12.45/12.57 (P1(f4(f4(a1,a1),f3(a1)),f3(a1),f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[1429,1455,1368,1171,1546,7,6])).
% 12.45/12.57 cnf(1769,plain,
% 12.45/12.57 (P1(f3(a1),f4(f4(a1,a1),f3(a1)),f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[1760,1603,7])).
% 12.45/12.57 cnf(1774,plain,
% 12.45/12.57 (~P1(f3(a1),f4(f4(a1,a1),f4(a1,a1)),f4(a1,a2))),
% 12.45/12.57 inference(scs_inference,[],[648,1754,976,1650,1662,1224,7,6])).
% 12.45/12.57 cnf(1781,plain,
% 12.45/12.57 (P1(f4(a1,f4(a1,a1)),a1,f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[1769,1720,1280,6])).
% 12.45/12.57 cnf(1788,plain,
% 12.45/12.57 (P1(f4(a1,f4(a1,a1)),f3(a1),f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[1781,137,1695,1601,1714,6,7])).
% 12.45/12.57 cnf(1796,plain,
% 12.45/12.57 (P1(f3(a1),f4(a1,f4(a1,a1)),f3(a1))),
% 12.45/12.57 inference(scs_inference,[],[651,1788,1720,31,3,6,7])).
% 12.45/12.57 cnf(1833,plain,
% 12.45/12.57 (P1(f3(a1),f3(a1),f4(f4(a1,a1),f4(a1,a1)))),
% 12.45/12.57 inference(scs_inference,[],[671,1781,1796,1294,1641,1224,6,7])).
% 12.45/12.57 cnf(1845,plain,
% 12.45/12.57 ($false),
% 12.45/12.57 inference(scs_inference,[],[674,1774,1833,261,3,8,7,6]),
% 12.45/12.57 ['proof']).
% 12.45/12.57 % SZS output end Proof
% 12.45/12.57 % Total time :11.920000s
%------------------------------------------------------------------------------