TSTP Solution File: FLD010-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD010-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : Wed Aug 30 22:26:28 EDT 2023
% Result : Unsatisfiable 20.82s 21.03s
% Output : CNFRefutation 20.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD010-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 00:56:24 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 20.82/21.02 %-------------------------------------------
% 20.82/21.02 % File :CSE---1.6
% 20.82/21.02 % Problem :theBenchmark
% 20.82/21.02 % Transform :cnf
% 20.82/21.02 % Format :tptp:raw
% 20.82/21.02 % Command :java -jar mcs_scs.jar %d %s
% 20.82/21.02
% 20.82/21.02 % Result :Theorem 20.290000s
% 20.82/21.02 % Output :CNFRefutation 20.290000s
% 20.82/21.02 %-------------------------------------------
% 20.82/21.03 %--------------------------------------------------------------------------
% 20.82/21.03 % File : FLD010-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 20.82/21.03 % Domain : Field Theory (Ordered fields)
% 20.82/21.03 % Problem : In the multiplicative group inverse(identity)=identity
% 20.82/21.03 % Version : [Dra93] axioms : Especial.
% 20.82/21.03 % Theorem formulation : Functional with glxx axiom set.
% 20.82/21.03 % English :
% 20.82/21.03
% 20.82/21.03 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 20.82/21.03 % Source : [Dra93]
% 20.82/21.03 % Names :
% 20.82/21.03
% 20.82/21.03 % Status : Unsatisfiable
% 20.82/21.03 % Rating : 0.00 v7.4.0, 0.17 v7.1.0, 0.33 v7.0.0, 0.25 v6.3.0, 0.14 v6.2.0, 0.00 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.21 v4.1.0, 0.12 v4.0.1, 0.00 v2.7.0
% 20.82/21.03 % Syntax : Number of clauses : 28 ( 4 unt; 3 nHn; 28 RR)
% 20.82/21.03 % Number of literals : 74 ( 0 equ; 45 neg)
% 20.82/21.03 % Maximal clause size : 4 ( 2 avg)
% 20.82/21.03 % Maximal term depth : 3 ( 1 avg)
% 20.82/21.03 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 20.82/21.03 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 20.82/21.03 % Number of variables : 50 ( 0 sgn)
% 20.82/21.03 % SPC : CNF_UNS_RFO_NEQ_NHN
% 20.82/21.03
% 20.82/21.03 % Comments :
% 20.82/21.03 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 20.82/21.03 % : v2.7.0 - Removed duplicate clause
% 20.82/21.03 % additive_id_not_equal_to_multiplicative_id_1 (now in axioms)
% 20.82/21.03 %--------------------------------------------------------------------------
% 20.82/21.03 include('Axioms/FLD001-0.ax').
% 20.82/21.03 %--------------------------------------------------------------------------
% 20.82/21.03 cnf(multiplicative_inv_not_equal_to_multiplicative_id_2,negated_conjecture,
% 20.82/21.03 ~ equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity) ).
% 20.82/21.03
% 20.82/21.03 %--------------------------------------------------------------------------
% 20.82/21.03 %-------------------------------------------
% 20.82/21.03 % Proof found
% 20.82/21.03 % SZS status Theorem for theBenchmark
% 20.82/21.03 % SZS output start Proof
% 20.82/21.03 %ClaNum:28(EqnAxiom:0)
% 20.82/21.03 %VarNum:128(SingletonVarNum:50)
% 20.82/21.03 %MaxLitNum:4
% 20.82/21.03 %MaxfuncDepth:2
% 20.82/21.03 %SharedTerms:7
% 20.82/21.03 %goalClause: 4
% 20.82/21.03 %singleGoalClaCount:1
% 20.82/21.03 [1]P1(a1)
% 20.82/21.03 [2]P1(a3)
% 20.82/21.03 [3]~P2(a1,a3)
% 20.82/21.03 [4]~P2(f5(a3),a3)
% 20.82/21.03 [6]~P1(x61)+P2(x61,x61)
% 20.82/21.03 [5]~P1(x51)+P1(f4(x51))
% 20.82/21.03 [10]~P1(x101)+P2(f2(a1,x101),x101)
% 20.82/21.03 [11]~P1(x111)+P2(f6(a3,x111),x111)
% 20.82/21.03 [14]~P1(x141)+P2(f2(x141,f4(x141)),a1)
% 20.82/21.03 [8]~P2(x82,x81)+P2(x81,x82)
% 20.82/21.03 [7]~P1(x71)+P2(x71,a1)+P1(f5(x71))
% 20.82/21.03 [19]~P1(x191)+P2(x191,a1)+P2(f6(x191,f5(x191)),a3)
% 20.82/21.03 [16]~P3(x162,x161)+~P3(x161,x162)+P2(x161,x162)
% 20.82/21.03 [12]~P1(x122)+~P1(x121)+P1(f2(x121,x122))
% 20.82/21.03 [13]~P1(x132)+~P1(x131)+P1(f6(x131,x132))
% 20.82/21.03 [20]~P3(a1,x202)+~P3(a1,x201)+P3(a1,f6(x201,x202))
% 20.82/21.03 [21]~P1(x212)+~P1(x211)+P2(f2(x211,x212),f2(x212,x211))
% 20.82/21.03 [22]~P1(x222)+~P1(x221)+P2(f6(x221,x222),f6(x222,x221))
% 20.82/21.03 [15]~P2(x151,x153)+P2(x151,x152)+~P2(x153,x152)
% 20.82/21.03 [17]~P3(x173,x172)+P3(x171,x172)+~P2(x173,x171)
% 20.82/21.03 [18]~P3(x181,x183)+P3(x181,x182)+~P3(x183,x182)
% 20.82/21.03 [23]~P1(x232)+~P2(x231,x233)+P2(f2(x231,x232),f2(x233,x232))
% 20.82/21.03 [24]~P1(x242)+~P2(x241,x243)+P2(f6(x241,x242),f6(x243,x242))
% 20.82/21.03 [25]~P1(x252)+~P3(x251,x253)+P3(f2(x251,x252),f2(x253,x252))
% 20.82/21.03 [9]P3(x92,x91)+~P1(x91)+~P1(x92)+P3(x91,x92)
% 20.82/21.03 [26]~P1(x263)+~P1(x262)+~P1(x261)+P2(f2(x261,f2(x262,x263)),f2(f2(x261,x262),x263))
% 20.82/21.03 [27]~P1(x273)+~P1(x272)+~P1(x271)+P2(f6(x271,f6(x272,x273)),f6(f6(x271,x272),x273))
% 20.82/21.03 [28]~P1(x283)+~P1(x282)+~P1(x281)+P2(f2(f6(x281,x282),f6(x283,x282)),f6(f2(x281,x283),x282))
% 20.82/21.03 %EqnAxiom
% 20.82/21.03
% 20.82/21.04 %-------------------------------------------
% 20.82/21.04 cnf(29,plain,
% 20.82/21.04 (~P2(a3,f5(a3))),
% 20.82/21.04 inference(scs_inference,[],[4,8])).
% 20.82/21.04 cnf(30,plain,
% 20.82/21.04 (P3(a1,a1)),
% 20.82/21.04 inference(scs_inference,[],[4,1,8,9])).
% 20.82/21.04 cnf(31,plain,
% 20.82/21.04 (P2(a1,a1)),
% 20.82/21.04 inference(scs_inference,[],[4,1,8,9,6])).
% 20.82/21.04 cnf(33,plain,
% 20.82/21.04 (P2(f6(a3,a1),a1)),
% 20.82/21.04 inference(scs_inference,[],[4,1,8,9,6,11])).
% 20.82/21.04 cnf(35,plain,
% 20.82/21.04 (P2(f2(a1,a1),a1)),
% 20.82/21.04 inference(scs_inference,[],[4,1,8,9,6,11,10])).
% 20.82/21.04 cnf(37,plain,
% 20.82/21.04 (P1(f4(a1))),
% 20.82/21.04 inference(scs_inference,[],[4,1,8,9,6,11,10,5])).
% 20.82/21.04 cnf(39,plain,
% 20.82/21.04 (P2(f2(a1,f4(a1)),a1)),
% 20.82/21.04 inference(scs_inference,[],[4,1,8,9,6,11,10,5,14])).
% 20.82/21.04 cnf(43,plain,
% 20.82/21.04 (P3(a1,f6(a1,a1))),
% 20.82/21.04 inference(scs_inference,[],[4,1,8,9,6,11,10,5,14,16,20])).
% 20.82/21.04 cnf(45,plain,
% 20.82/21.04 (P1(f6(a1,a1))),
% 20.82/21.04 inference(scs_inference,[],[4,1,8,9,6,11,10,5,14,16,20,13])).
% 20.82/21.04 cnf(47,plain,
% 20.82/21.04 (P1(f2(a1,a1))),
% 20.82/21.04 inference(scs_inference,[],[4,1,8,9,6,11,10,5,14,16,20,13,12])).
% 20.82/21.04 cnf(49,plain,
% 20.82/21.04 (P3(f2(a1,a1),f2(a1,a1))),
% 20.82/21.04 inference(scs_inference,[],[4,1,8,9,6,11,10,5,14,16,20,13,12,25])).
% 20.82/21.04 cnf(51,plain,
% 20.82/21.04 (P2(f6(a1,a1),f6(a1,a1))),
% 20.82/21.04 inference(scs_inference,[],[4,1,8,9,6,11,10,5,14,16,20,13,12,25,24])).
% 20.82/21.04 cnf(53,plain,
% 20.82/21.04 (P2(f2(a1,a1),f2(a1,a1))),
% 20.82/21.04 inference(scs_inference,[],[4,1,8,9,6,11,10,5,14,16,20,13,12,25,24,23])).
% 20.82/21.04 cnf(61,plain,
% 20.82/21.04 (P2(f2(a1,f2(a1,a1)),f2(f2(a1,a1),a1))),
% 20.82/21.04 inference(scs_inference,[],[4,1,2,8,9,6,11,10,5,14,16,20,13,12,25,24,23,22,21,27,26])).
% 20.82/21.04 cnf(63,plain,
% 20.82/21.04 (P2(f2(f6(a1,a1),f6(a1,a1)),f6(f2(a1,a1),a1))),
% 20.82/21.04 inference(scs_inference,[],[4,1,2,8,9,6,11,10,5,14,16,20,13,12,25,24,23,22,21,27,26,28])).
% 20.82/21.04 cnf(71,plain,
% 20.82/21.04 (~P3(f5(a3),a3)+P2(a3,a1)+P1(f5(a3))),
% 20.82/21.04 inference(scs_inference,[],[4,1,2,8,9,6,11,10,5,14,16,20,13,12,25,24,23,22,21,27,26,28,18,17,15,7])).
% 20.82/21.04 cnf(75,plain,
% 20.82/21.04 (P3(a1,f6(f6(a1,a1),f6(a1,a1)))),
% 20.82/21.04 inference(scs_inference,[],[43,20])).
% 20.82/21.04 cnf(77,plain,
% 20.82/21.04 (P1(f2(a3,a3))),
% 20.82/21.04 inference(scs_inference,[],[2,43,20,12])).
% 20.82/21.04 cnf(85,plain,
% 20.82/21.04 (P2(f2(f6(a3,a3),f6(a3,a3)),f6(f2(a3,a3),a3))),
% 20.82/21.04 inference(scs_inference,[],[2,47,43,20,12,22,21,26,28])).
% 20.82/21.04 cnf(87,plain,
% 20.82/21.04 (P3(a1,f2(a1,a1))),
% 20.82/21.04 inference(scs_inference,[],[2,49,47,35,43,20,12,22,21,26,28,17])).
% 20.82/21.04 cnf(89,plain,
% 20.82/21.04 (P2(f6(f2(a1,a1),a1),f2(f6(a1,a1),f6(a1,a1)))),
% 20.82/21.04 inference(scs_inference,[],[2,49,47,63,35,43,20,12,22,21,26,28,17,8])).
% 20.82/21.04 cnf(93,plain,
% 20.82/21.04 (P1(f6(a3,a3))),
% 20.82/21.04 inference(scs_inference,[],[2,49,47,63,35,43,20,12,22,21,26,28,17,8,15,13])).
% 20.82/21.04 cnf(101,plain,
% 20.82/21.04 (P2(f6(a3,f6(a3,a3)),f6(f6(a3,a3),a3))),
% 20.82/21.04 inference(scs_inference,[],[2,53,49,47,63,35,43,20,12,22,21,26,28,17,8,15,13,25,24,23,27])).
% 20.82/21.04 cnf(105,plain,
% 20.82/21.04 (~P2(a3,a1)),
% 20.82/21.04 inference(scs_inference,[],[3,8])).
% 20.82/21.04 cnf(110,plain,
% 20.82/21.04 (P2(f6(a3,f5(a3)),a3)),
% 20.82/21.04 inference(scs_inference,[],[3,2,89,63,8,15,71,19])).
% 20.82/21.04 cnf(112,plain,
% 20.82/21.04 (P1(f5(a3))),
% 20.82/21.04 inference(scs_inference,[],[3,2,89,63,8,15,71,19,7])).
% 20.82/21.04 cnf(119,plain,
% 20.82/21.04 (P2(f6(f2(a3,a3),a3),f2(f6(a3,a3),f6(a3,a3)))),
% 20.82/21.04 inference(scs_inference,[],[85,8])).
% 20.82/21.04 cnf(121,plain,
% 20.82/21.04 (~P2(a1,f6(a3,f5(a3)))),
% 20.82/21.04 inference(scs_inference,[],[3,85,110,8,15])).
% 20.82/21.04 cnf(129,plain,
% 20.82/21.04 (~P2(f6(a3,f5(a3)),a1)),
% 20.82/21.04 inference(scs_inference,[],[121,8])).
% 20.82/21.04 cnf(133,plain,
% 20.82/21.04 (P1(f4(a3))),
% 20.82/21.04 inference(scs_inference,[],[2,119,121,85,8,15,5])).
% 20.82/21.04 cnf(135,plain,
% 20.82/21.04 (P2(a3,a3)),
% 20.82/21.04 inference(scs_inference,[],[2,119,121,85,8,15,5,6])).
% 20.82/21.04 cnf(137,plain,
% 20.82/21.04 (P2(f6(a3,a3),a3)),
% 20.82/21.04 inference(scs_inference,[],[2,119,121,85,8,15,5,6,11])).
% 20.82/21.04 cnf(139,plain,
% 20.82/21.04 (P2(f2(a1,a3),a3)),
% 20.82/21.04 inference(scs_inference,[],[2,119,121,85,8,15,5,6,11,10])).
% 20.82/21.04 cnf(141,plain,
% 20.82/21.04 (P2(f2(a3,f4(a3)),a1)),
% 20.82/21.04 inference(scs_inference,[],[2,119,121,85,8,15,5,6,11,10,14])).
% 20.82/21.04 cnf(143,plain,
% 20.82/21.04 (P3(a3,a3)),
% 20.82/21.04 inference(scs_inference,[],[2,119,121,85,8,15,5,6,11,10,14,9])).
% 20.82/21.04 cnf(159,plain,
% 20.82/21.04 (P3(f2(a1,a3),f2(a1,a3))),
% 20.82/21.04 inference(scs_inference,[],[2,30,93,61,77,8,15,19,22,21,12,25])).
% 20.82/21.04 cnf(161,plain,
% 20.82/21.04 (P3(a1,f6(f2(a1,a1),f2(a1,a1)))),
% 20.82/21.04 inference(scs_inference,[],[2,30,93,61,77,87,8,15,19,22,21,12,25,20])).
% 20.82/21.04 cnf(163,plain,
% 20.82/21.04 (P1(f6(f6(a3,a3),f6(a3,a3)))),
% 20.82/21.04 inference(scs_inference,[],[2,30,93,61,77,87,8,15,19,22,21,12,25,20,13])).
% 20.82/21.04 cnf(176,plain,
% 20.82/21.04 (P1(f2(f6(a1,a1),f6(a1,a1)))),
% 20.82/21.04 inference(scs_inference,[],[45,22,12])).
% 20.82/21.04 cnf(180,plain,
% 20.82/21.04 (P1(f6(f6(a1,a1),f6(a1,a1)))),
% 20.82/21.04 inference(scs_inference,[],[45,37,22,12,21,13])).
% 20.82/21.04 cnf(188,plain,
% 20.82/21.04 (P2(f6(f6(a3,a3),a3),f6(a3,f6(a3,a3)))),
% 20.82/21.04 inference(scs_inference,[],[31,163,101,45,37,22,12,21,13,24,23,9,8])).
% 20.82/21.04 cnf(198,plain,
% 20.82/21.04 (~P3(f6(f2(a1,a1),f2(a1,a1)),x1981)+P3(a1,f6(x1981,a1))),
% 20.82/21.04 inference(scs_inference,[],[30,161,18,20])).
% 20.82/21.04 cnf(211,plain,
% 20.82/21.04 (P2(f6(a3,f5(a3)),f5(a3))),
% 20.82/21.04 inference(scs_inference,[],[33,180,112,105,15,5,6,11])).
% 20.82/21.04 cnf(213,plain,
% 20.82/21.04 (P2(f2(a1,f5(a3)),f5(a3))),
% 20.82/21.04 inference(scs_inference,[],[33,180,112,105,15,5,6,11,10])).
% 20.82/21.04 cnf(215,plain,
% 20.82/21.04 (P2(f2(f5(a3),f4(f5(a3))),a1)),
% 20.82/21.04 inference(scs_inference,[],[33,180,112,105,15,5,6,11,10,14])).
% 20.82/21.04 cnf(225,plain,
% 20.82/21.04 (P2(a1,f6(a3,a1))),
% 20.82/21.04 inference(scs_inference,[],[33,8])).
% 20.82/21.04 cnf(227,plain,
% 20.82/21.04 (~P2(a3,f2(a1,f4(a1)))),
% 20.82/21.04 inference(scs_inference,[],[33,39,105,8,15])).
% 20.82/21.04 cnf(234,plain,
% 20.82/21.04 (~P2(f2(a1,f4(a1)),a3)),
% 20.82/21.04 inference(scs_inference,[],[227,8])).
% 20.82/21.04 cnf(236,plain,
% 20.82/21.04 (~P2(f5(a3),a1)),
% 20.82/21.04 inference(scs_inference,[],[211,227,129,8,15])).
% 20.82/21.04 cnf(238,plain,
% 20.82/21.04 (P2(f6(f5(a3),f5(f5(a3))),a3)),
% 20.82/21.04 inference(scs_inference,[],[211,227,129,112,8,15,19])).
% 20.82/21.04 cnf(260,plain,
% 20.82/21.04 (P1(f6(f2(a3,a3),f2(a3,a3)))),
% 20.82/21.04 inference(scs_inference,[],[77,112,22,12,21,13])).
% 20.82/21.04 cnf(262,plain,
% 20.82/21.04 (P2(a1,f2(a1,a1))),
% 20.82/21.04 inference(scs_inference,[],[35,77,112,22,12,21,13,8])).
% 20.82/21.04 cnf(264,plain,
% 20.82/21.04 (~P2(f5(a3),f6(a3,a1))),
% 20.82/21.04 inference(scs_inference,[],[33,35,236,77,112,22,12,21,13,8,15])).
% 20.82/21.04 cnf(274,plain,
% 20.92/21.04 (P3(f2(f2(a1,a3),f4(a1)),f2(f2(a1,a3),f4(a1)))),
% 20.92/21.04 inference(scs_inference,[],[37,159,25])).
% 20.92/21.04 cnf(276,plain,
% 20.92/21.04 (~P2(f6(a3,a1),f5(a3))),
% 20.92/21.04 inference(scs_inference,[],[37,264,159,25,8])).
% 20.92/21.04 cnf(278,plain,
% 20.92/21.05 (~P2(f5(a3),f2(a3,f4(a3)))),
% 20.92/21.05 inference(scs_inference,[],[37,141,264,159,236,25,8,15])).
% 20.92/21.05 cnf(280,plain,
% 20.92/21.05 (P1(f4(f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[37,141,264,159,236,25,8,15,5])).
% 20.92/21.05 cnf(282,plain,
% 20.92/21.05 (P2(f2(a1,f4(a1)),f4(a1))),
% 20.92/21.05 inference(scs_inference,[],[37,141,264,159,236,25,8,15,5,10])).
% 20.92/21.05 cnf(286,plain,
% 20.92/21.05 (P2(f6(a3,f4(a1)),f4(a1))),
% 20.92/21.05 inference(scs_inference,[],[37,141,264,159,236,25,8,15,5,10,6,11])).
% 20.92/21.05 cnf(288,plain,
% 20.92/21.05 (P2(f2(f4(a1),f4(f4(a1))),a1)),
% 20.92/21.05 inference(scs_inference,[],[37,141,264,159,236,25,8,15,5,10,6,11,14])).
% 20.92/21.05 cnf(296,plain,
% 20.92/21.05 (~P3(x2961,f5(a3))+~P3(f5(a3),f6(a3,a1))+~P3(f6(a3,a1),x2961)),
% 20.92/21.05 inference(scs_inference,[],[31,37,141,264,159,236,25,8,15,5,10,6,11,14,24,23,16,18])).
% 20.92/21.05 cnf(303,plain,
% 20.92/21.05 (P1(f5(f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[236,112,7])).
% 20.92/21.05 cnf(305,plain,
% 20.92/21.05 (P2(a3,f2(a1,a3))),
% 20.92/21.05 inference(scs_inference,[],[139,236,112,7,8])).
% 20.92/21.05 cnf(309,plain,
% 20.92/21.05 (~P2(a1,f5(a3))),
% 20.92/21.05 inference(scs_inference,[],[33,274,139,276,236,112,7,8,16,15])).
% 20.92/21.05 cnf(311,plain,
% 20.92/21.05 (P3(f4(a1),f4(a1))),
% 20.92/21.05 inference(scs_inference,[],[33,37,274,139,276,236,112,7,8,16,15,9])).
% 20.92/21.05 cnf(317,plain,
% 20.92/21.05 (~P2(a1,f2(a1,f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[37,311,309,213,278,25,8,15])).
% 20.92/21.05 cnf(319,plain,
% 20.92/21.05 (P3(f2(a1,a1),a1)),
% 20.92/21.05 inference(scs_inference,[],[37,262,311,309,213,278,30,25,8,15,17])).
% 20.92/21.05 cnf(326,plain,
% 20.92/21.05 (P3(f2(a1,a1),f6(f2(a1,a1),f2(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[319,161,18])).
% 20.92/21.05 cnf(328,plain,
% 20.92/21.05 (P2(a1,f2(a1,f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[39,319,161,18,8])).
% 20.92/21.05 cnf(336,plain,
% 20.92/21.05 (P1(f6(f4(a1),f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[33,39,37,225,319,161,18,8,15,22,12,13])).
% 20.92/21.05 cnf(342,plain,
% 20.92/21.05 (P2(f2(f6(a3,a1),f4(a1)),f2(a1,f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[33,39,37,260,225,319,161,18,8,15,22,12,13,9,24,23])).
% 20.92/21.05 cnf(350,plain,
% 20.92/21.05 (P1(f6(f2(a1,a1),f2(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[47,112,22,12,13])).
% 20.92/21.05 cnf(352,plain,
% 20.92/21.05 (~P2(f2(a1,f5(a3)),a1)),
% 20.92/21.05 inference(scs_inference,[],[317,47,112,22,12,13,8])).
% 20.92/21.05 cnf(354,plain,
% 20.92/21.05 (P2(f2(a1,a1),f2(a1,f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[35,328,317,47,112,22,12,13,8,15])).
% 20.92/21.05 cnf(356,plain,
% 20.92/21.05 (P2(f2(a1,f2(a1,a1)),f2(a1,a1))),
% 20.92/21.05 inference(scs_inference,[],[35,328,317,47,112,22,12,13,8,15,10])).
% 20.92/21.05 cnf(362,plain,
% 20.92/21.05 (P2(f6(a3,f2(a1,a1)),f2(a1,a1))),
% 20.92/21.05 inference(scs_inference,[],[35,336,280,328,317,47,112,22,12,13,8,15,10,6,5,11])).
% 20.92/21.05 cnf(364,plain,
% 20.92/21.05 (P2(f2(f2(a1,a1),f4(f2(a1,a1))),a1)),
% 20.92/21.05 inference(scs_inference,[],[35,336,280,328,317,47,112,22,12,13,8,15,10,6,5,11,14])).
% 20.92/21.05 cnf(370,plain,
% 20.92/21.05 (P2(f2(f2(a1,a1),f4(a1)),f2(a1,f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[35,37,336,280,328,317,47,112,22,12,13,8,15,10,6,5,11,14,19,24,23])).
% 20.92/21.05 cnf(374,plain,
% 20.92/21.05 (P2(f2(a1,a1),f2(a1,f2(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[356,8])).
% 20.92/21.05 cnf(376,plain,
% 20.92/21.05 (~P2(f2(a1,f5(a3)),f2(a1,a1))),
% 20.92/21.05 inference(scs_inference,[],[35,356,352,8,15])).
% 20.92/21.05 cnf(380,plain,
% 20.92/21.05 (P3(f2(a1,f4(a1)),f2(f6(a1,a1),f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[35,43,37,356,352,326,8,15,18,25])).
% 20.92/21.05 cnf(384,plain,
% 20.92/21.05 (P3(a1,f2(f6(a1,a1),f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[35,39,43,37,356,352,326,8,15,18,25,7,17])).
% 20.92/21.05 cnf(388,plain,
% 20.92/21.05 (~P2(f2(a1,a1),f2(a1,f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[376,8])).
% 20.92/21.05 cnf(390,plain,
% 20.92/21.05 (P2(f6(a3,f2(a1,a1)),f2(a1,f2(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[374,362,376,8,15])).
% 20.92/21.05 cnf(394,plain,
% 20.92/21.05 (P3(f2(a1,a1),f6(a1,a1))),
% 20.92/21.05 inference(scs_inference,[],[43,374,362,376,352,319,8,15,7,18])).
% 20.92/21.05 cnf(398,plain,
% 20.92/21.05 (P3(f2(a1,a1),f2(f6(a1,a1),f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[45,43,374,362,376,384,262,352,319,8,15,7,18,25,17])).
% 20.92/21.05 cnf(400,plain,
% 20.92/21.05 (P3(f6(a1,a1),f6(a1,a1))),
% 20.92/21.05 inference(scs_inference,[],[45,43,374,362,376,384,262,352,319,8,15,7,18,25,17,9])).
% 20.92/21.05 cnf(404,plain,
% 20.92/21.05 (P2(f2(a1,f4(a1)),f2(a1,a1))),
% 20.92/21.05 inference(scs_inference,[],[354,8])).
% 20.92/21.05 cnf(406,plain,
% 20.92/21.05 (~P2(f2(a1,f4(a1)),f2(a1,f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[354,388,8,15])).
% 20.92/21.05 cnf(410,plain,
% 20.92/21.05 (P2(f6(f2(a1,f4(a1)),f4(a1)),f6(a1,f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[37,39,394,354,388,8,15,16,24])).
% 20.92/21.05 cnf(412,plain,
% 20.92/21.05 (P2(f2(f2(a1,f4(a1)),f4(a1)),f2(a1,f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[37,39,394,354,388,8,15,16,24,23])).
% 20.92/21.05 cnf(414,plain,
% 20.92/21.05 (~P2(f2(a1,f5(a3)),f2(a1,f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[406,8])).
% 20.92/21.05 cnf(416,plain,
% 20.92/21.05 (~P2(a3,f2(f2(a1,f4(a1)),f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[412,406,227,8,15])).
% 20.92/21.05 cnf(418,plain,
% 20.92/21.05 (P2(f2(a1,f6(a1,a1)),f6(a1,a1))),
% 20.92/21.05 inference(scs_inference,[],[45,412,406,227,8,15,10])).
% 20.92/21.05 cnf(422,plain,
% 20.92/21.05 (P1(f4(f2(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[47,45,412,406,303,227,8,15,10,6,5])).
% 20.92/21.05 cnf(424,plain,
% 20.92/21.05 (P2(f6(a3,f6(a1,a1)),f6(a1,a1))),
% 20.92/21.05 inference(scs_inference,[],[47,45,412,406,303,227,8,15,10,6,5,11])).
% 20.92/21.05 cnf(426,plain,
% 20.92/21.05 (P2(f2(f6(a1,a1),f4(f6(a1,a1))),a1)),
% 20.92/21.05 inference(scs_inference,[],[47,45,412,406,303,227,8,15,10,6,5,11,14])).
% 20.92/21.05 cnf(428,plain,
% 20.92/21.05 (P1(f2(f5(a3),f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[47,45,412,406,303,227,112,8,15,10,6,5,11,14,12])).
% 20.92/21.05 cnf(436,plain,
% 20.92/21.05 (P2(f2(f2(a1,f4(a1)),f2(a1,a1)),f2(a1,f2(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[39,47,45,398,412,406,303,227,112,8,15,10,6,5,11,14,12,13,16,24,23])).
% 20.92/21.05 cnf(438,plain,
% 20.92/21.05 (P2(f2(a1,f2(a1,a1)),f2(f2(a1,f4(a1)),f2(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[436,8])).
% 20.92/21.05 cnf(440,plain,
% 20.92/21.05 (~P2(f2(a1,f5(a3)),f2(f2(a1,a1),f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[436,370,414,8,15])).
% 20.92/21.05 cnf(444,plain,
% 20.92/21.05 (P3(f2(a1,f2(a1,a1)),f2(f6(a1,a1),f2(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[43,47,436,370,414,8,15,16,25])).
% 20.92/21.05 cnf(455,plain,
% 20.92/21.05 (~P2(f2(a1,a1),a3)),
% 20.92/21.05 inference(scs_inference,[],[404,440,234,8,15])).
% 20.92/21.05 cnf(470,plain,
% 20.92/21.05 (~P2(f2(a1,f2(a1,a1)),f2(a1,f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[238,374,388,8,15])).
% 20.92/21.05 cnf(483,plain,
% 20.92/21.05 (~P2(a3,f2(f6(a3,a1),f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[342,416,227,8,15])).
% 20.92/21.05 cnf(485,plain,
% 20.92/21.05 (P1(f4(f6(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[45,342,416,227,8,15,5])).
% 20.92/21.05 cnf(487,plain,
% 20.92/21.05 (P2(f6(a3,f2(a3,a3)),f2(a3,a3))),
% 20.92/21.05 inference(scs_inference,[],[45,342,416,227,77,8,15,5,11])).
% 20.92/21.05 cnf(489,plain,
% 20.92/21.05 (P2(f2(a1,f2(a3,a3)),f2(a3,a3))),
% 20.92/21.05 inference(scs_inference,[],[45,342,416,227,77,8,15,5,11,10])).
% 20.92/21.05 cnf(491,plain,
% 20.92/21.05 (P2(f2(f2(a3,a3),f4(f2(a3,a3))),a1)),
% 20.92/21.05 inference(scs_inference,[],[45,342,416,227,77,8,15,5,11,10,14])).
% 20.92/21.05 cnf(503,plain,
% 20.92/21.05 (P3(f6(f2(a1,a1),f2(a1,a1)),f6(f2(a1,a1),f2(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[45,51,47,350,422,342,416,380,227,77,8,15,5,11,10,14,6,23,24,16,18,9])).
% 20.92/21.05 cnf(505,plain,
% 20.92/21.05 (P3(a1,f6(f6(f2(a1,a1),f2(a1,a1)),a1))),
% 20.92/21.05 inference(scs_inference,[],[503,198])).
% 20.92/21.05 cnf(507,plain,
% 20.92/21.05 (P2(f6(a1,a1),f2(a1,f6(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[503,418,198,8])).
% 20.92/21.05 cnf(509,plain,
% 20.92/21.05 (~P2(f2(f2(a1,f4(a1)),f2(a1,a1)),f2(a1,f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[503,438,418,470,198,8,15])).
% 20.92/21.05 cnf(525,plain,
% 20.92/21.05 (~P2(f5(a3),f2(f2(a1,a1),f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[509,440,213,8,15])).
% 20.92/21.05 cnf(529,plain,
% 20.92/21.05 (P3(f6(a3,a1),f6(f6(f2(a1,a1),f2(a1,a1)),a1))),
% 20.92/21.05 inference(scs_inference,[],[509,505,225,440,213,8,15,16,17])).
% 20.92/21.05 cnf(535,plain,
% 20.92/21.05 (~P2(f2(a1,a1),f6(a3,f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[424,455,110,8,15])).
% 20.92/21.05 cnf(539,plain,
% 20.92/21.05 (P3(f4(f6(a1,a1)),f4(f6(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[485,424,529,455,110,8,15,296,9])).
% 20.92/21.05 cnf(547,plain,
% 20.92/21.05 (~P2(f6(a3,f5(a3)),f2(a1,a1))),
% 20.92/21.05 inference(scs_inference,[],[535,505,319,18,8])).
% 20.92/21.05 cnf(553,plain,
% 20.92/21.05 (P2(f2(a1,f6(a3,a3)),f6(a3,a3))),
% 20.92/21.05 inference(scs_inference,[],[539,535,364,262,505,319,93,18,8,16,15,10])).
% 20.92/21.05 cnf(555,plain,
% 20.92/21.05 (P2(f2(f6(a3,a3),f4(f6(a3,a3))),a1)),
% 20.92/21.05 inference(scs_inference,[],[539,535,364,262,505,319,93,18,8,16,15,10,14])).
% 20.92/21.05 cnf(561,plain,
% 20.92/21.05 (P2(f6(a3,f6(a3,a3)),f6(a3,a3))),
% 20.92/21.05 inference(scs_inference,[],[539,428,535,364,262,505,319,93,133,18,8,16,15,10,14,6,5,11])).
% 20.92/21.05 cnf(580,plain,
% 20.92/21.05 (P2(f6(f6(a3,a3),a3),f6(a3,a3))),
% 20.92/21.05 inference(scs_inference,[],[561,188,525,8,15])).
% 20.92/21.05 cnf(586,plain,
% 20.92/21.05 (P3(a3,f2(a1,a3))),
% 20.92/21.05 inference(scs_inference,[],[561,188,525,139,529,159,133,8,15,16,19,17])).
% 20.92/21.05 cnf(590,plain,
% 20.92/21.05 (P2(f6(a3,a3),f6(f6(a3,a3),a3))),
% 20.92/21.05 inference(scs_inference,[],[580,8])).
% 20.92/21.05 cnf(592,plain,
% 20.92/21.05 (~P2(f4(a1),f2(a1,f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[580,282,406,8,15])).
% 20.92/21.05 cnf(602,plain,
% 20.92/21.05 (~P2(f2(a1,f4(a1)),f6(a3,f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[592,121,328,8,15])).
% 20.92/21.05 cnf(610,plain,
% 20.92/21.05 (P2(f6(a3,f4(a3)),f4(a3))),
% 20.92/21.05 inference(scs_inference,[],[176,592,121,328,133,8,15,10,14,5,11])).
% 20.92/21.05 cnf(627,plain,
% 20.92/21.05 (P3(f2(a1,f6(a1,a1)),f6(a1,a1))),
% 20.92/21.05 inference(scs_inference,[],[507,400,17])).
% 20.92/21.05 cnf(631,plain,
% 20.92/21.05 (~P2(f2(f2(a1,a1),a1),f2(a1,f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[61,602,507,400,470,17,8,15])).
% 20.92/21.05 cnf(639,plain,
% 20.92/21.05 (P2(f6(a3,a3),f2(a1,f6(a3,a3)))),
% 20.92/21.05 inference(scs_inference,[],[553,8])).
% 20.92/21.05 cnf(641,plain,
% 20.92/21.05 (~P2(f6(a3,a1),f2(a1,f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[553,317,225,8,15])).
% 20.92/21.05 cnf(656,plain,
% 20.92/21.05 (~P2(f2(a1,f5(a3)),f2(f2(a1,a1),a1))),
% 20.92/21.05 inference(scs_inference,[],[61,627,631,444,77,25,17,8])).
% 20.92/21.05 cnf(671,plain,
% 20.92/21.05 (P2(a3,f6(a3,a3))),
% 20.92/21.05 inference(scs_inference,[],[137,8])).
% 20.92/21.05 cnf(673,plain,
% 20.92/21.05 (P2(f6(a3,f2(a1,a1)),f2(f2(a1,a1),a1))),
% 20.92/21.05 inference(scs_inference,[],[61,137,390,8,15])).
% 20.92/21.05 cnf(687,plain,
% 20.92/21.05 (~P2(f2(a1,f5(a3)),f6(a3,a1))),
% 20.92/21.05 inference(scs_inference,[],[641,8])).
% 20.92/21.05 cnf(689,plain,
% 20.92/21.05 (~P2(a3,f2(f6(a1,a1),f4(f6(a1,a1))))),
% 20.92/21.05 inference(scs_inference,[],[426,641,105,8,15])).
% 20.92/21.05 cnf(700,plain,
% 20.92/21.05 (P2(f2(a3,a3),f6(a3,f2(a3,a3)))),
% 20.92/21.05 inference(scs_inference,[],[75,487,319,18,8])).
% 20.92/21.05 cnf(702,plain,
% 20.92/21.05 (P2(a3,f6(f6(a3,a3),a3))),
% 20.92/21.05 inference(scs_inference,[],[75,590,487,671,319,18,8,15])).
% 20.92/21.05 cnf(709,plain,
% 20.92/21.05 (P2(f2(a1,f2(a3,a3)),f6(a3,f2(a3,a3)))),
% 20.92/21.05 inference(scs_inference,[],[489,700,689,8,15])).
% 20.92/21.05 cnf(711,plain,
% 20.92/21.05 (P1(f4(f2(a3,a3)))),
% 20.92/21.05 inference(scs_inference,[],[77,489,700,689,8,15,5])).
% 20.92/21.05 cnf(713,plain,
% 20.92/21.05 (P3(f2(a1,f2(a3,a3)),f2(f6(f6(a1,a1),f6(a1,a1)),f2(a3,a3)))),
% 20.92/21.05 inference(scs_inference,[],[75,77,489,700,689,8,15,5,25])).
% 20.92/21.05 cnf(721,plain,
% 20.92/21.05 (~P3(f2(f6(a1,a1),f6(a1,a1)),x7211)+P3(f6(f2(a1,a1),a1),x7211)),
% 20.92/21.05 inference(scs_inference,[],[63,75,77,135,489,700,687,689,8,15,5,25,24,23,16,17])).
% 20.92/21.05 cnf(730,plain,
% 20.92/21.05 (P2(f4(a1),f6(a3,f4(a1)))),
% 20.92/21.05 inference(scs_inference,[],[711,286,6,8])).
% 20.92/21.05 cnf(755,plain,
% 20.92/21.05 (P2(f2(f2(a3,a3),f4(f2(a3,a3))),f2(a1,a1))),
% 20.92/21.05 inference(scs_inference,[],[491,262,8,15])).
% 20.92/21.05 cnf(769,plain,
% 20.92/21.05 (~P2(f2(a1,f5(a3)),f6(a3,f2(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[709,673,656,483,713,17,8,15])).
% 20.92/21.05 cnf(782,plain,
% 20.92/21.05 (P3(f2(a1,a3),a3)),
% 20.92/21.05 inference(scs_inference,[],[305,143,17])).
% 20.92/21.05 cnf(786,plain,
% 20.92/21.05 (P2(f6(a3,f6(a3,a3)),f2(a1,f6(a3,a3)))),
% 20.92/21.05 inference(scs_inference,[],[755,639,305,143,561,17,8,15])).
% 20.92/21.05 cnf(792,plain,
% 20.92/21.05 (~P2(f6(a3,f4(a1)),f2(a1,f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[769,730,592,8,15])).
% 20.92/21.05 cnf(842,plain,
% 20.92/21.05 (~P2(f6(f6(a3,a3),a3),f5(a3))),
% 20.92/21.05 inference(scs_inference,[],[610,702,29,8,15])).
% 20.92/21.05 cnf(846,plain,
% 20.92/21.05 (P3(f6(f6(a3,a3),a3),f2(a1,a3))),
% 20.92/21.05 inference(scs_inference,[],[610,702,29,336,586,8,15,9,17])).
% 20.92/21.05 cnf(852,plain,
% 20.92/21.05 (~P2(f2(a1,a3),f2(f6(a1,a1),f4(f6(a1,a1))))),
% 20.92/21.05 inference(scs_inference,[],[792,305,689,8,15])).
% 20.92/21.05 cnf(860,plain,
% 20.92/21.05 (P2(a1,f2(f6(a3,a3),f4(f6(a3,a3))))),
% 20.92/21.05 inference(scs_inference,[],[555,8])).
% 20.92/21.05 cnf(862,plain,
% 20.92/21.05 (P2(f6(f6(a3,a3),a3),f2(a1,f6(a3,a3)))),
% 20.92/21.05 inference(scs_inference,[],[555,786,188,8,15])).
% 20.92/21.05 cnf(864,plain,
% 20.92/21.05 (P3(f6(f6(a3,a3),a3),a3)),
% 20.92/21.05 inference(scs_inference,[],[555,786,188,782,846,8,15,18])).
% 20.92/21.05 cnf(873,plain,
% 20.92/21.05 (P3(f2(a1,f6(a3,a3)),a3)),
% 20.92/21.05 inference(scs_inference,[],[87,862,864,112,25,17])).
% 20.92/21.05 cnf(877,plain,
% 20.92/21.05 (~P2(f2(a1,f6(a3,a3)),f5(a3))),
% 20.92/21.05 inference(scs_inference,[],[87,852,862,842,864,112,25,17,8,15])).
% 20.92/21.05 cnf(890,plain,
% 20.92/21.05 (P3(f2(f6(a3,a3),f4(f6(a3,a3))),f2(a1,a1))),
% 20.92/21.05 inference(scs_inference,[],[87,860,17])).
% 20.92/21.05 cnf(894,plain,
% 20.92/21.05 (P2(a1,f2(f4(a1),f4(f4(a1))))),
% 20.92/21.05 inference(scs_inference,[],[87,288,860,873,586,17,18,8])).
% 20.92/21.05 cnf(902,plain,
% 20.92/21.05 (~P2(f6(a3,f5(a3)),f6(a3,f2(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[877,547,362,8,15])).
% 20.92/21.05 cnf(912,plain,
% 20.92/21.05 (P2(a1,f2(f5(a3),f4(f5(a3))))),
% 20.92/21.05 inference(scs_inference,[],[87,215,894,17,8])).
% 20.92/21.05 cnf(918,plain,
% 20.92/21.05 (P3(f2(f6(a1,a1),f6(a1,a1)),f2(f6(a1,a1),f6(a1,a1)))),
% 20.92/21.05 inference(scs_inference,[],[87,890,215,894,580,842,176,17,8,15,16,9])).
% 20.92/21.05 cnf(922,plain,
% 20.92/21.05 (P3(f2(f5(a3),f4(f5(a3))),f2(a1,a1))),
% 20.92/21.05 inference(scs_inference,[],[87,918,912,721,17])).
% 20.92/21.05 cnf(924,plain,
% 20.92/21.05 (~P2(f6(a3,f2(a1,a1)),f6(a3,f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[87,918,902,912,721,17,8])).
% 20.92/21.05 cnf(966,plain,
% 20.92/21.05 (P3(f6(a3,a3),f6(a3,a3))),
% 20.92/21.05 inference(scs_inference,[],[93,922,924,410,390,8,15,16,9])).
% 20.92/21.05 cnf(1119,plain,
% 20.92/21.05 (P2(a3,f6(a3,f5(a3)))),
% 20.92/21.05 inference(scs_inference,[],[110,639,966,17,8])).
% 20.92/21.05 cnf(1865,plain,
% 20.92/21.05 ($false),
% 20.92/21.05 inference(scs_inference,[],[786,29,211,1119,8,15]),
% 20.92/21.05 ['proof']).
% 20.92/21.05 % SZS output end Proof
% 20.92/21.05 % Total time :20.290000s
%------------------------------------------------------------------------------