TSTP Solution File: FLD013-5 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD013-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 22:26:30 EDT 2023
% Result : Unsatisfiable 0.89s 0.97s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : FLD013-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n005.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 : Mon Aug 28 00:24:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.89/0.96 %-------------------------------------------
% 0.89/0.96 % File :CSE---1.6
% 0.89/0.96 % Problem :theBenchmark
% 0.89/0.96 % Transform :cnf
% 0.89/0.96 % Format :tptp:raw
% 0.89/0.96 % Command :java -jar mcs_scs.jar %d %s
% 0.89/0.96
% 0.89/0.96 % Result :Theorem 0.340000s
% 0.89/0.96 % Output :CNFRefutation 0.340000s
% 0.89/0.96 %-------------------------------------------
% 0.89/0.96 %--------------------------------------------------------------------------
% 0.89/0.96 % File : FLD013-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.89/0.96 % Domain : Field Theory (Ordered fields)
% 0.89/0.96 % Problem : The resulting equation of the summation of two equations
% 0.89/0.96 % Version : [Dra93] axioms : Especial.
% 0.89/0.96 % Theorem formulation : Relational variant with re axiom set.
% 0.89/0.96 % English :
% 0.89/0.96
% 0.89/0.96 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.89/0.96 % Source : [Dra93]
% 0.89/0.96 % Names :
% 0.89/0.96
% 0.89/0.96 % Status : Unsatisfiable
% 0.89/0.96 % Rating : 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 0.89/0.96 % Syntax : Number of clauses : 37 ( 14 unt; 3 nHn; 37 RR)
% 0.89/0.96 % Number of literals : 88 ( 0 equ; 50 neg)
% 0.89/0.96 % Maximal clause size : 5 ( 2 avg)
% 0.89/0.96 % Maximal term depth : 2 ( 1 avg)
% 0.89/0.96 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.89/0.96 % Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% 0.89/0.96 % Number of variables : 73 ( 0 sgn)
% 0.89/0.96 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.89/0.96
% 0.89/0.96 % Comments :
% 0.89/0.96 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.89/0.96 %--------------------------------------------------------------------------
% 0.89/0.96 include('Axioms/FLD002-0.ax').
% 0.89/0.96 %--------------------------------------------------------------------------
% 0.89/0.96 cnf(a_is_defined,hypothesis,
% 0.89/0.96 defined(a) ).
% 0.89/0.97
% 0.89/0.97 cnf(b_is_defined,hypothesis,
% 0.89/0.97 defined(b) ).
% 0.89/0.97
% 0.89/0.97 cnf(c_is_defined,hypothesis,
% 0.89/0.97 defined(c) ).
% 0.89/0.97
% 0.89/0.97 cnf(d_is_defined,hypothesis,
% 0.89/0.97 defined(d) ).
% 0.89/0.97
% 0.89/0.97 cnf(u_is_defined,hypothesis,
% 0.89/0.97 defined(u) ).
% 0.89/0.97
% 0.89/0.97 cnf(v_is_defined,hypothesis,
% 0.89/0.97 defined(v) ).
% 0.89/0.97
% 0.89/0.97 cnf(sum_7,negated_conjecture,
% 0.89/0.97 sum(additive_identity,a,b) ).
% 0.89/0.97
% 0.89/0.97 cnf(sum_8,negated_conjecture,
% 0.89/0.97 sum(additive_identity,c,d) ).
% 0.89/0.97
% 0.89/0.97 cnf(sum_9,negated_conjecture,
% 0.89/0.97 sum(a,c,u) ).
% 0.89/0.97
% 0.89/0.97 cnf(sum_10,negated_conjecture,
% 0.89/0.97 sum(d,b,v) ).
% 0.89/0.97
% 0.89/0.97 cnf(not_sum_11,negated_conjecture,
% 0.89/0.97 ~ sum(additive_identity,u,v) ).
% 0.89/0.97
% 0.89/0.97 %--------------------------------------------------------------------------
% 0.89/0.97 %-------------------------------------------
% 0.89/0.97 % Proof found
% 0.89/0.97 % SZS status Theorem for theBenchmark
% 0.89/0.97 % SZS output start Proof
% 0.89/0.97 %ClaNum:37(EqnAxiom:0)
% 0.89/0.97 %VarNum:162(SingletonVarNum:73)
% 0.89/0.97 %MaxLitNum:5
% 0.89/0.97 %MaxfuncDepth:1
% 0.89/0.97 %SharedTerms:22
% 0.89/0.97 %goalClause: 9 10 11 12 14
% 0.89/0.97 %singleGoalClaCount:5
% 0.89/0.97 [1]P1(a1)
% 0.89/0.97 [2]P1(a4)
% 0.89/0.97 [3]P1(a2)
% 0.89/0.97 [4]P1(a5)
% 0.89/0.97 [5]P1(a7)
% 0.89/0.97 [6]P1(a8)
% 0.89/0.97 [7]P1(a9)
% 0.89/0.97 [8]P1(a12)
% 0.89/0.97 [9]P2(a1,a2,a5)
% 0.89/0.97 [10]P2(a1,a7,a8)
% 0.89/0.97 [11]P2(a2,a7,a9)
% 0.89/0.97 [12]P2(a8,a5,a12)
% 0.89/0.97 [13]~P2(a1,a1,a4)
% 0.89/0.97 [14]~P2(a1,a9,a12)
% 0.89/0.97 [20]~P1(x201)+P2(a1,x201,x201)
% 0.89/0.97 [21]~P1(x211)+P4(a4,x211,x211)
% 0.89/0.97 [15]~P1(x151)+P1(f6(x151))
% 0.89/0.97 [22]~P1(x221)+P2(f6(x221),x221,a1)
% 0.89/0.97 [29]~P2(x292,x291,x293)+P2(x291,x292,x293)
% 0.89/0.97 [30]~P4(x302,x301,x303)+P4(x301,x302,x303)
% 0.89/0.97 [23]~P1(x231)+P2(a1,x231,a1)+P1(f11(x231))
% 0.89/0.97 [27]~P1(x271)+P4(f11(x271),x271,a4)+P2(a1,x271,a1)
% 0.89/0.97 [26]~P3(x262,x261)+~P3(x261,x262)+P2(a1,x261,x262)
% 0.89/0.97 [17]~P1(x172)+~P1(x171)+P1(f3(x171,x172))
% 0.89/0.97 [18]~P1(x182)+~P1(x181)+P1(f10(x181,x182))
% 0.89/0.97 [24]~P1(x242)+~P1(x241)+P2(x241,x242,f3(x241,x242))
% 0.89/0.97 [25]~P1(x252)+~P1(x251)+P4(x251,x252,f10(x251,x252))
% 0.89/0.97 [19]~P3(x191,x193)+P3(x191,x192)+~P3(x193,x192)
% 0.89/0.97 [16]P3(x162,x161)+~P1(x161)+~P1(x162)+P3(x161,x162)
% 0.89/0.97 [28]~P4(x283,x282,x281)+P3(a1,x281)+~P3(a1,x282)+~P3(a1,x283)
% 0.89/0.97 [31]~P2(x313,x315,x311)+P3(x311,x312)+~P2(x314,x315,x312)+~P3(x313,x314)
% 0.89/0.97 [32]~P2(x321,x326,x324)+P2(x321,x322,x323)+~P2(x324,x325,x323)+~P2(x326,x325,x322)
% 0.89/0.97 [33]~P2(x336,x334,x331)+P2(x331,x332,x333)+~P2(x334,x332,x335)+~P2(x336,x335,x333)
% 0.89/0.97 [34]~P4(x341,x346,x344)+P4(x341,x342,x343)+~P4(x344,x345,x343)+~P4(x346,x345,x342)
% 0.89/0.97 [35]~P4(x356,x354,x351)+P4(x351,x352,x353)+~P4(x354,x352,x355)+~P4(x356,x355,x353)
% 0.89/0.97 [36]~P4(x365,x367,x362)+~P4(x364,x367,x361)+P2(x361,x362,x363)+~P2(x364,x365,x366)+~P4(x366,x367,x363)
% 0.89/0.97 [37]~P4(x377,x372,x375)+~P4(x376,x372,x374)+P4(x371,x372,x373)+~P2(x374,x375,x373)+~P2(x376,x377,x371)
% 0.89/0.97 %EqnAxiom
% 0.89/0.97
% 0.89/0.97 %-------------------------------------------
% 0.89/0.97 cnf(38,plain,
% 0.89/0.97 (~P2(a9,a1,a12)),
% 0.89/0.97 inference(scs_inference,[],[14,29])).
% 0.89/0.97 cnf(39,plain,
% 0.89/0.97 (~P2(a5,a7,a12)),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,29,32])).
% 0.89/0.97 cnf(40,plain,
% 0.89/0.97 (P3(a1,a1)),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,1,29,32,16])).
% 0.89/0.97 cnf(41,plain,
% 0.89/0.97 (P4(a4,a1,a1)),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,1,29,32,16,21])).
% 0.89/0.97 cnf(43,plain,
% 0.89/0.97 (P2(a1,a1,a1)),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,1,29,32,16,21,20])).
% 0.89/0.97 cnf(45,plain,
% 0.89/0.97 (P2(f6(a1),a1,a1)),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,1,29,32,16,21,20,22])).
% 0.89/0.97 cnf(47,plain,
% 0.89/0.97 (P1(f6(a1))),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,1,29,32,16,21,20,22,15])).
% 0.89/0.97 cnf(49,plain,
% 0.89/0.97 (P4(a1,a1,f10(a1,a1))),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,1,29,32,16,21,20,22,15,25])).
% 0.89/0.97 cnf(51,plain,
% 0.89/0.97 (P2(a1,a1,f3(a1,a1))),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,1,29,32,16,21,20,22,15,25,24])).
% 0.89/0.97 cnf(53,plain,
% 0.89/0.97 (P1(f10(a1,a1))),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,1,29,32,16,21,20,22,15,25,24,18])).
% 0.89/0.97 cnf(55,plain,
% 0.89/0.97 (P1(f3(a1,a1))),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,1,29,32,16,21,20,22,15,25,24,18,17])).
% 0.89/0.97 cnf(57,plain,
% 0.89/0.97 (~P4(a4,f10(a1,a1),x571)+P4(a1,a1,x571)),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,1,29,32,16,21,20,22,15,25,24,18,17,35])).
% 0.89/0.97 cnf(59,plain,
% 0.89/0.97 (P4(a4,f10(a1,a1),f10(a1,a1))),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,1,29,32,16,21,20,22,15,25,24,18,17,35,34])).
% 0.89/0.97 cnf(61,plain,
% 0.89/0.97 (P3(a5,a5)),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,1,29,32,16,21,20,22,15,25,24,18,17,35,34,31])).
% 0.89/0.97 cnf(63,plain,
% 0.89/0.97 (P3(a1,f10(a1,a1))),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,1,29,32,16,21,20,22,15,25,24,18,17,35,34,31,28])).
% 0.89/0.97 cnf(71,plain,
% 0.89/0.97 (~P4(a4,f10(a1,a1),a4)+P2(a1,a4,a1)+P1(f11(a4))),
% 0.89/0.97 inference(scs_inference,[],[9,11,14,1,2,13,29,32,16,21,20,22,15,25,24,18,17,35,34,31,28,36,26,27,23])).
% 0.89/0.97 cnf(77,plain,
% 0.89/0.97 (P4(f10(a1,a1),a4,f10(a1,a1))),
% 0.89/0.97 inference(scs_inference,[],[59,30])).
% 0.89/0.97 cnf(85,plain,
% 0.89/0.97 (P2(f6(a1),a5,a5)),
% 0.89/0.97 inference(scs_inference,[],[9,3,59,45,30,24,18,17,32])).
% 0.89/0.97 cnf(87,plain,
% 0.89/0.97 (P3(a8,a8)),
% 0.89/0.97 inference(scs_inference,[],[9,10,3,59,40,45,30,24,18,17,32,31])).
% 0.89/0.97 cnf(89,plain,
% 0.89/0.97 (P2(a2,a1,a5)),
% 0.89/0.97 inference(scs_inference,[],[9,10,3,59,40,45,30,24,18,17,32,31,29])).
% 0.89/0.97 cnf(93,plain,
% 0.89/0.97 (~P2(a8,a2,a9)),
% 0.89/0.97 inference(scs_inference,[],[9,10,3,12,59,40,45,38,30,24,18,17,32,31,29,25,33])).
% 0.89/0.97 cnf(97,plain,
% 0.89/0.97 (P2(a1,a5,a5)),
% 0.89/0.97 inference(scs_inference,[],[9,10,3,12,59,40,63,45,38,61,30,24,18,17,32,31,29,25,33,19,26])).
% 0.89/0.97 cnf(109,plain,
% 0.89/0.97 (~P2(a7,a5,a12)),
% 0.89/0.97 inference(scs_inference,[],[39,29])).
% 0.89/0.97 cnf(111,plain,
% 0.89/0.97 (P2(f10(a1,a1),f10(a1,a1),f10(a1,a1))),
% 0.89/0.98 inference(scs_inference,[],[43,39,49,29,36])).
% 0.89/0.98 cnf(113,plain,
% 0.89/0.98 (P2(a5,a1,a5)),
% 0.89/0.98 inference(scs_inference,[],[43,89,39,49,29,36,33])).
% 0.89/0.98 cnf(117,plain,
% 0.89/0.98 (P3(a7,a7)),
% 0.89/0.98 inference(scs_inference,[],[10,5,12,14,43,89,39,49,29,36,33,32,16])).
% 0.89/0.98 cnf(119,plain,
% 0.89/0.98 (P3(a12,a12)),
% 0.89/0.98 inference(scs_inference,[],[10,5,12,14,43,89,39,87,49,29,36,33,32,16,31])).
% 0.89/0.98 cnf(123,plain,
% 0.89/0.98 (P2(a1,a7,a7)),
% 0.89/0.98 inference(scs_inference,[],[117,26])).
% 0.89/0.98 cnf(125,plain,
% 0.89/0.98 (P2(a12,a1,a12)),
% 0.89/0.98 inference(scs_inference,[],[12,117,113,26,33])).
% 0.89/0.98 cnf(127,plain,
% 0.89/0.98 (P2(a7,a1,a8)),
% 0.89/0.98 inference(scs_inference,[],[10,12,117,113,26,33,29])).
% 0.89/0.98 cnf(129,plain,
% 0.89/0.98 (P2(f6(a1),a8,a8)),
% 0.89/0.98 inference(scs_inference,[],[10,12,117,113,45,26,33,29,32])).
% 0.89/0.98 cnf(139,plain,
% 0.89/0.98 (P2(a1,a12,a12)),
% 0.89/0.98 inference(scs_inference,[],[119,26])).
% 0.89/0.98 cnf(141,plain,
% 0.89/0.98 (~P2(a2,a8,a12)),
% 0.89/0.98 inference(scs_inference,[],[11,38,127,119,26,33])).
% 0.89/0.98 cnf(145,plain,
% 0.89/0.98 (P2(f6(a1),a12,a12)),
% 0.89/0.98 inference(scs_inference,[],[11,38,12,127,129,93,119,26,33,29,32])).
% 0.89/0.98 cnf(149,plain,
% 0.89/0.98 (P4(a4,a8,a8)),
% 0.89/0.98 inference(scs_inference,[],[11,6,38,12,127,129,93,119,26,33,29,32,15,21])).
% 0.89/0.98 cnf(153,plain,
% 0.89/0.98 (P2(f6(a8),a8,a1)),
% 0.89/0.98 inference(scs_inference,[],[11,6,38,12,127,129,93,119,26,33,29,32,15,21,20,22])).
% 0.89/0.98 cnf(159,plain,
% 0.89/0.98 (P2(f3(a1,a1),a5,a5)),
% 0.89/0.98 inference(scs_inference,[],[97,51,33])).
% 0.89/0.98 cnf(161,plain,
% 0.89/0.98 (P2(a7,a2,a9)),
% 0.89/0.98 inference(scs_inference,[],[11,97,51,33,29])).
% 0.89/0.98 cnf(165,plain,
% 0.89/0.98 (P2(a9,a9,f3(a9,a9))),
% 0.89/0.98 inference(scs_inference,[],[11,7,13,97,51,43,33,29,32,24])).
% 0.89/0.98 cnf(169,plain,
% 0.89/0.98 (P4(a8,a4,a8)),
% 0.89/0.98 inference(scs_inference,[],[11,7,13,97,51,149,43,33,29,32,24,18,30])).
% 0.89/0.98 cnf(185,plain,
% 0.89/0.98 (P2(a12,a12,f3(a12,a12))),
% 0.89/0.98 inference(scs_inference,[],[8,24])).
% 0.89/0.98 cnf(191,plain,
% 0.89/0.98 (P3(a9,a9)),
% 0.89/0.98 inference(scs_inference,[],[8,161,117,24,18,17,31])).
% 0.89/0.98 cnf(193,plain,
% 0.89/0.98 (P4(a12,a12,f10(a12,a12))),
% 0.89/0.98 inference(scs_inference,[],[8,161,117,24,18,17,31,25])).
% 0.89/0.98 cnf(195,plain,
% 0.89/0.98 (P2(a1,a9,a9)),
% 0.89/0.98 inference(scs_inference,[],[8,161,117,24,18,17,31,25,26])).
% 0.89/0.98 cnf(197,plain,
% 0.89/0.98 (P2(a8,a1,a8)),
% 0.89/0.98 inference(scs_inference,[],[8,161,127,117,43,24,18,17,31,25,26,33])).
% 0.89/0.98 cnf(214,plain,
% 0.89/0.98 (P4(a1,a4,a1)),
% 0.89/0.98 inference(scs_inference,[],[41,30])).
% 0.89/0.98 cnf(218,plain,
% 0.89/0.98 (~P2(f6(a8),a8,a4)),
% 0.89/0.98 inference(scs_inference,[],[13,191,153,165,197,41,30,31,33])).
% 0.89/0.98 cnf(220,plain,
% 0.89/0.98 (~P4(f3(a1,a1),a4,a4)),
% 0.89/0.98 inference(scs_inference,[],[13,191,153,165,197,51,41,30,31,33,36])).
% 0.89/0.98 cnf(222,plain,
% 0.89/0.98 (P2(a1,f3(a9,a9),f3(a9,a9))),
% 0.89/0.98 inference(scs_inference,[],[13,191,153,165,197,51,41,30,31,33,36,26])).
% 0.89/0.98 cnf(224,plain,
% 0.89/0.98 (P2(a5,a8,a12)),
% 0.89/0.98 inference(scs_inference,[],[12,13,191,153,165,197,51,41,30,31,33,36,26,29])).
% 0.89/0.98 cnf(230,plain,
% 0.89/0.98 (P4(f3(a1,a1),a1,f10(a1,a1))),
% 0.89/0.98 inference(scs_inference,[],[12,13,123,191,193,153,165,197,111,49,45,51,41,30,31,33,36,26,29,32,28,37])).
% 0.96/0.98 cnf(231,plain,
% 0.96/0.98 (~P2(x2311,x2312,x2313)+~P4(x2312,x2314,x2315)+~P4(x2311,x2314,x2316)+~P2(x2316,x2315,x2317)+P4(x2313,x2314,x2317)),
% 0.96/0.98 inference(rename_variables,[],[37])).
% 0.96/0.98 cnf(238,plain,
% 0.96/0.98 (P4(a12,a4,a12)+~P4(a5,a4,a5)),
% 0.96/0.98 inference(scs_inference,[],[12,4,13,123,191,193,153,165,197,111,77,49,45,51,169,41,30,31,33,36,26,29,32,28,37,27,23,34,231])).
% 0.96/0.98 cnf(242,plain,
% 0.96/0.98 (P4(f3(a1,a1),a4,f3(a1,a1))),
% 0.96/0.98 inference(scs_inference,[],[214,51,37])).
% 0.96/0.98 cnf(246,plain,
% 0.96/0.98 (~P2(f6(a1),a9,a12)),
% 0.96/0.98 inference(scs_inference,[],[14,195,220,214,45,51,37,30,33])).
% 0.96/0.98 cnf(248,plain,
% 0.96/0.98 (~P2(a7,f3(a1,a1),a8)),
% 0.96/0.98 inference(scs_inference,[],[14,109,195,159,220,214,45,51,12,37,30,33,32])).
% 0.96/0.98 cnf(252,plain,
% 0.96/0.98 (P2(a1,a4,a4)),
% 0.96/0.98 inference(scs_inference,[],[14,2,109,195,159,220,218,214,45,51,12,37,30,33,32,29,20])).
% 0.96/0.98 cnf(256,plain,
% 0.96/0.98 (P4(a4,a7,a7)),
% 0.96/0.98 inference(scs_inference,[],[14,5,2,109,195,159,220,218,214,45,51,12,37,30,33,32,29,20,15,21])).
% 0.96/0.98 cnf(258,plain,
% 0.96/0.98 (P2(f6(a7),a7,a1)),
% 0.96/0.98 inference(scs_inference,[],[14,5,2,109,195,159,220,218,214,45,51,12,37,30,33,32,29,20,15,21,22])).
% 0.96/0.98 cnf(270,plain,
% 0.96/0.98 (P4(a4,f3(a1,a1),f3(a1,a1))),
% 0.96/0.98 inference(scs_inference,[],[242,30])).
% 0.96/0.98 cnf(278,plain,
% 0.96/0.98 (~P4(x2781,a4,a4)+P4(x2781,a1,a1)),
% 0.96/0.98 inference(scs_inference,[],[14,39,41,125,139,222,242,258,30,33,32,29,34])).
% 0.96/0.98 cnf(292,plain,
% 0.96/0.98 (P2(f3(a12,a12),a1,f3(a12,a12))),
% 0.96/0.98 inference(scs_inference,[],[185,125,33])).
% 0.96/0.98 cnf(294,plain,
% 0.96/0.98 (~P2(a1,a4,a1)),
% 0.96/0.98 inference(scs_inference,[],[43,13,185,252,125,33,32])).
% 0.96/0.98 cnf(296,plain,
% 0.96/0.98 (P2(f10(a1,a1),a1,a1)),
% 0.96/0.98 inference(scs_inference,[],[43,13,41,185,252,125,49,33,32,36])).
% 0.96/0.98 cnf(301,plain,
% 0.96/0.98 (P4(f11(a4),a4,a4)),
% 0.96/0.98 inference(scs_inference,[],[2,43,13,41,246,185,252,125,49,33,32,36,29,71,27])).
% 0.96/0.98 cnf(309,plain,
% 0.96/0.98 (P2(a5,a5,f3(a5,a5))),
% 0.96/0.98 inference(scs_inference,[],[4,2,43,13,41,246,185,252,125,49,33,32,36,29,71,27,23,18,17,24])).
% 0.96/0.98 cnf(311,plain,
% 0.96/0.98 (P4(a5,a5,f10(a5,a5))),
% 0.96/0.98 inference(scs_inference,[],[4,2,43,13,41,246,185,252,125,49,33,32,36,29,71,27,23,18,17,24,25])).
% 0.96/0.98 cnf(315,plain,
% 0.96/0.98 (~P4(f11(a4),f3(a1,a1),f11(a4))),
% 0.96/0.98 inference(scs_inference,[],[4,2,43,13,41,246,185,252,220,125,49,33,32,36,29,71,27,23,18,17,24,25,34,30])).
% 0.96/0.98 cnf(317,plain,
% 0.96/0.98 (~P4(a12,x3171,a12)+P4(f3(a12,a12),x3171,f3(a12,a12))),
% 0.96/0.98 inference(scs_inference,[],[4,2,43,13,41,246,185,252,220,125,49,33,32,36,29,71,27,23,18,17,24,25,34,30,37])).
% 0.96/0.98 cnf(323,plain,
% 0.96/0.98 (P4(f11(a4),a1,a1)),
% 0.96/0.98 inference(scs_inference,[],[301,278])).
% 0.96/0.98 cnf(327,plain,
% 0.96/0.98 (P2(a7,a7,f3(a7,a7))),
% 0.96/0.98 inference(scs_inference,[],[5,301,278,17,24])).
% 0.96/0.98 cnf(331,plain,
% 0.96/0.98 (P4(a7,a7,f10(a7,a7))),
% 0.96/0.98 inference(scs_inference,[],[5,301,278,17,24,18,25])).
% 0.96/0.98 cnf(333,plain,
% 0.96/0.98 (~P4(a4,f3(a1,a1),f11(a4))),
% 0.96/0.98 inference(scs_inference,[],[5,301,315,270,278,17,24,18,25,34])).
% 0.96/0.98 cnf(335,plain,
% 0.96/0.98 (P4(a4,f11(a4),a4)),
% 0.96/0.98 inference(scs_inference,[],[5,301,315,270,278,17,24,18,25,34,30])).
% 0.96/0.98 cnf(339,plain,
% 0.96/0.98 (~P2(f10(a1,a1),a1,a4)),
% 0.96/0.98 inference(scs_inference,[],[5,43,13,301,315,296,270,220,278,17,24,18,25,34,30,35,33])).
% 0.96/0.98 cnf(341,plain,
% 0.96/0.98 (P2(f6(a1),f3(a5,a5),f3(a5,a5))),
% 0.96/0.98 inference(scs_inference,[],[5,43,13,301,315,296,309,85,270,220,278,17,24,18,25,34,30,35,33,32])).
% 0.96/0.98 cnf(343,plain,
% 0.96/0.98 (~P4(a1,a4,a4)),
% 0.96/0.98 inference(scs_inference,[],[5,43,13,301,315,296,309,85,270,214,220,278,17,24,18,25,34,30,35,33,32,36])).
% 0.96/0.98 cnf(345,plain,
% 0.96/0.98 (P2(a1,f3(a12,a12),f3(a12,a12))),
% 0.96/0.98 inference(scs_inference,[],[5,43,13,301,315,292,296,309,85,270,214,220,278,17,24,18,25,34,30,35,33,32,36,29])).
% 0.96/0.98 cnf(355,plain,
% 0.96/0.98 (~P4(a4,a1,a4)),
% 0.96/0.98 inference(scs_inference,[],[333,343,242,270,34,30])).
% 0.96/0.98 cnf(365,plain,
% 0.96/0.98 (~P2(a1,f10(a1,a1),a4)),
% 0.96/0.98 inference(scs_inference,[],[38,45,13,41,345,333,339,343,242,270,125,301,214,34,30,35,33,32,36,29])).
% 0.96/0.98 cnf(367,plain,
% 0.96/0.98 (P1(f6(a4))),
% 0.96/0.98 inference(scs_inference,[],[2,38,45,13,41,345,333,339,343,242,270,125,301,214,34,30,35,33,32,36,29,15])).
% 0.96/0.98 cnf(371,plain,
% 0.96/0.98 (P2(f6(a4),a4,a1)),
% 0.96/0.98 inference(scs_inference,[],[2,38,45,13,41,345,333,339,343,242,270,125,301,214,34,30,35,33,32,36,29,15,16,22])).
% 0.96/0.98 cnf(373,plain,
% 0.96/0.98 (P2(a1,a2,a2)),
% 0.96/0.98 inference(scs_inference,[],[2,38,45,3,13,41,345,333,339,343,242,270,125,301,214,34,30,35,33,32,36,29,15,16,22,20])).
% 0.96/0.98 cnf(375,plain,
% 0.96/0.98 (P4(a4,a4,a4)),
% 0.96/0.98 inference(scs_inference,[],[2,38,45,3,13,41,345,333,339,343,242,270,125,301,214,34,30,35,33,32,36,29,15,16,22,20,21])).
% 0.96/0.98 cnf(385,plain,
% 0.96/0.98 (P4(a1,f11(a4),a1)),
% 0.96/0.98 inference(scs_inference,[],[327,323,117,31,30])).
% 0.96/0.98 cnf(389,plain,
% 0.96/0.98 (~P4(f11(a4),a1,f11(a4))),
% 0.96/0.98 inference(scs_inference,[],[355,327,331,323,335,256,117,31,30,34,35])).
% 0.96/0.98 cnf(391,plain,
% 0.96/0.98 (~P2(f6(a1),f6(a4),a1)),
% 0.96/0.98 inference(scs_inference,[],[45,355,327,331,323,335,371,294,256,117,31,30,34,35,33])).
% 0.96/0.98 cnf(393,plain,
% 0.96/0.98 (~P4(a4,a4,a1)),
% 0.96/0.98 inference(scs_inference,[],[45,13,355,327,331,323,335,371,294,375,256,252,117,214,31,30,34,35,33,36])).
% 0.96/0.98 cnf(395,plain,
% 0.96/0.98 (~P2(a1,a12,a9)),
% 0.96/0.98 inference(scs_inference,[],[45,13,355,327,331,323,335,371,294,375,246,256,252,117,139,214,31,30,34,35,33,36,32])).
% 0.96/0.98 cnf(397,plain,
% 0.96/0.98 (P2(a1,f3(a7,a7),f3(a7,a7))),
% 0.96/0.98 inference(scs_inference,[],[45,13,355,327,331,323,335,371,294,375,246,256,252,117,139,214,31,30,34,35,33,36,32,26])).
% 0.96/0.98 cnf(399,plain,
% 0.96/0.98 (P2(a1,f6(a1),a1)),
% 0.96/0.98 inference(scs_inference,[],[45,13,355,327,331,323,335,371,294,375,246,256,252,117,139,214,31,30,34,35,33,36,32,26,29])).
% 0.96/0.98 cnf(413,plain,
% 0.96/0.98 (P4(f10(a1,a1),f11(a4),f10(a1,a1))),
% 0.96/0.98 inference(scs_inference,[],[41,385,389,355,230,30,34,35])).
% 0.96/0.98 cnf(415,plain,
% 0.96/0.98 (~P2(f6(a1),a4,f6(a1))),
% 0.96/0.98 inference(scs_inference,[],[41,385,389,399,355,294,230,30,34,35,33])).
% 0.96/0.98 cnf(417,plain,
% 0.96/0.98 (~P2(a1,f6(a4),a1)),
% 0.96/0.98 inference(scs_inference,[],[13,41,385,389,399,355,371,294,230,252,30,34,35,33,32])).
% 0.96/0.98 cnf(419,plain,
% 0.96/0.98 (~P4(a4,a4,f10(a1,a1))),
% 0.96/0.98 inference(scs_inference,[],[13,41,385,365,389,399,355,371,294,375,230,252,214,30,34,35,33,32,36])).
% 0.96/0.98 cnf(421,plain,
% 0.96/0.98 (~P2(f6(a4),f6(a1),a1)),
% 0.96/0.98 inference(scs_inference,[],[13,41,385,365,389,391,399,355,371,294,375,230,252,214,30,34,35,33,32,36,29])).
% 0.96/0.98 cnf(429,plain,
% 0.96/0.98 (P4(f11(f6(a4)),f6(a4),a4)),
% 0.96/0.98 inference(scs_inference,[],[367,417,23,27])).
% 0.96/0.98 cnf(437,plain,
% 0.96/0.98 (~P2(f6(a1),a1,a4)),
% 0.96/0.98 inference(scs_inference,[],[45,43,13,393,413,367,417,399,335,252,169,214,23,27,30,37,35,33])).
% 0.96/0.98 cnf(445,plain,
% 0.96/0.98 (P2(f6(a1),f6(a1),f3(f6(a1),f6(a1)))),
% 0.96/0.98 inference(scs_inference,[],[47,45,43,13,393,413,341,367,397,417,399,335,252,169,214,23,27,30,37,35,33,32,29,17,24])).
% 0.96/0.98 cnf(453,plain,
% 0.96/0.98 (~P4(f6(a1),f11(a4),f6(a4))),
% 0.96/0.98 inference(scs_inference,[],[47,45,43,13,393,413,341,367,397,417,399,385,335,252,169,214,23,27,30,37,35,33,32,29,17,24,18,25,34,36])).
% 0.96/0.98 cnf(472,plain,
% 0.96/0.98 (~P4(a1,a1,a4)),
% 0.96/0.98 inference(scs_inference,[],[49,6,41,453,419,17,24,18,25,30,34])).
% 0.96/0.98 cnf(482,plain,
% 0.96/0.98 (~P4(a4,f10(a1,a1),a4)),
% 0.96/0.98 inference(scs_inference,[],[49,6,41,453,415,419,145,141,224,395,97,375,252,214,17,24,18,25,30,34,37,32,33,29,57])).
% 0.96/0.98 cnf(484,plain,
% 0.96/0.98 (P2(f6(a5),a5,a1)),
% 0.96/0.98 inference(scs_inference,[],[4,49,6,41,453,415,419,145,141,224,395,97,375,252,214,17,24,18,25,30,34,37,32,33,29,57,22])).
% 0.96/0.98 cnf(490,plain,
% 0.96/0.98 (P4(a4,a5,a5)),
% 0.96/0.98 inference(scs_inference,[],[4,47,49,6,41,453,415,419,145,141,224,395,97,375,252,214,17,24,18,25,30,34,37,32,33,29,57,22,15,20,21])).
% 0.96/0.98 cnf(500,plain,
% 0.96/0.98 (P4(a5,a4,a5)),
% 0.96/0.98 inference(scs_inference,[],[490,30])).
% 0.96/0.98 cnf(504,plain,
% 0.96/0.98 (~P4(f6(a4),f10(a1,a1),f6(a4))),
% 0.96/0.98 inference(scs_inference,[],[482,311,490,429,30,34,35])).
% 0.96/0.98 cnf(510,plain,
% 0.96/0.98 (P2(a5,f6(a5),a1)),
% 0.96/0.98 inference(scs_inference,[],[45,482,311,445,484,490,429,437,30,34,35,33,32,29])).
% 0.96/0.98 cnf(520,plain,
% 0.96/0.98 (P4(a12,a4,a12)),
% 0.96/0.98 inference(scs_inference,[],[500,238])).
% 0.96/0.98 cnf(521,plain,
% 0.96/0.98 (P2(f10(a1,a1),f10(a1,a1),f3(f10(a1,a1),f10(a1,a1)))),
% 0.96/0.98 inference(scs_inference,[],[53,24])).
% 0.96/0.98 cnf(527,plain,
% 0.96/0.98 (P4(f3(a5,a5),a4,f3(a5,a5))),
% 0.96/0.98 inference(scs_inference,[],[40,51,53,500,482,309,230,270,24,31,34,37])).
% 0.96/0.98 cnf(531,plain,
% 0.96/0.98 (P4(a5,f11(a4),a5)),
% 0.96/0.98 inference(scs_inference,[],[40,51,53,500,504,482,309,335,230,270,24,31,34,37,30,35])).
% 0.96/0.98 cnf(539,plain,
% 0.96/0.98 (~P2(f3(a1,a1),a7,a8)),
% 0.96/0.98 inference(scs_inference,[],[40,51,43,53,248,500,504,421,482,309,335,371,230,270,24,31,34,37,30,35,26,33,32,29])).
% 0.96/0.98 cnf(561,plain,
% 0.96/0.98 ($false),
% 0.96/0.98 inference(scs_inference,[],[40,49,51,521,472,55,527,539,510,531,373,520,123,311,159,10,385,317,24,31,34,37,30,35,32,33]),
% 0.96/0.98 ['proof']).
% 0.96/0.98 % SZS output end Proof
% 0.96/0.98 % Total time :0.340000s
%------------------------------------------------------------------------------