%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD058-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 : Mon Jun 24 05:55:30 EDT 2024
% Result : Unsatisfiable 61.56s 61.65s
% Output : CNFRefutation 61.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD058-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n024.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 : Wed Jun 19 09:59:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 61.56/61.64 %-------------------------------------------
% 61.56/61.64 % File :CSE---1.7
% 61.56/61.64 % Problem :theBenchmark
% 61.56/61.64 % Transform :cnf
% 61.56/61.64 % Format :tptp:raw
% 61.56/61.64 % Command :java -jar mcs_scs.jar %d %s
% 61.56/61.64
% 61.56/61.64 % Result :Theorem 61.020000s
% 61.56/61.64 % Output :CNFRefutation 61.020000s
% 61.56/61.64 %-------------------------------------------
% 61.56/61.64 %--------------------------------------------------------------------------
% 61.56/61.64 % File : FLD058-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 61.56/61.64 % Domain : Field Theory (Ordered fields)
% 61.56/61.64 % Problem : If a greater 0 and b greater or equal a the b greater 0
% 61.56/61.64 % Version : [Dra93] axioms : Especial.
% 61.56/61.65 % Theorem formulation : Functional with glxx axiom set.
% 61.56/61.65 % English :
% 61.56/61.65
% 61.56/61.65 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 61.56/61.65 % Source : [Dra93]
% 61.56/61.65 % Names :
% 61.56/61.65
% 61.56/61.65 % Status : Unsatisfiable
% 61.56/61.65 % Rating : 0.00 v2.2.1, 0.33 v2.1.0
% 61.56/61.65 % Syntax : Number of clauses : 33 ( 9 unt; 3 nHn; 33 RR)
% 61.56/61.65 % Number of literals : 79 ( 0 equ; 45 neg)
% 61.56/61.65 % Maximal clause size : 4 ( 2 avg)
% 61.56/61.65 % Maximal term depth : 3 ( 1 avg)
% 61.56/61.65 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 61.56/61.65 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 61.56/61.65 % Number of variables : 50 ( 0 sgn)
% 61.56/61.65 % SPC : CNF_UNS_RFO_NEQ_NHN
% 61.56/61.65
% 61.56/61.65 % Comments :
% 61.56/61.65 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 61.56/61.65 %--------------------------------------------------------------------------
% 61.56/61.65 include('Axioms/FLD001-0.ax').
% 61.56/61.65 %--------------------------------------------------------------------------
% 61.56/61.65 cnf(a_is_defined,hypothesis,
% 61.56/61.65 defined(a) ).
% 61.56/61.65
% 61.56/61.65 cnf(b_is_defined,hypothesis,
% 61.56/61.65 defined(b) ).
% 61.56/61.65
% 61.56/61.65 cnf(less_or_equal_3,negated_conjecture,
% 61.56/61.65 less_or_equal(additive_identity,a) ).
% 61.56/61.65
% 61.56/61.65 cnf(less_or_equal_4,negated_conjecture,
% 61.56/61.65 less_or_equal(a,b) ).
% 61.56/61.65
% 61.56/61.65 cnf(a_not_equal_to_additive_identity_5,negated_conjecture,
% 61.56/61.65 ~ equalish(a,additive_identity) ).
% 61.56/61.65
% 61.56/61.65 cnf(b_equals_additive_identity_6,negated_conjecture,
% 61.56/61.65 equalish(b,additive_identity) ).
% 61.56/61.65
% 61.56/61.65 %--------------------------------------------------------------------------
% 61.56/61.65 %-------------------------------------------
% 61.56/61.65 % Proof found
% 61.56/61.65 % SZS status Theorem for theBenchmark
% 61.56/61.65 % SZS output start Proof
% 61.56/61.65 %ClaNum:33(EqnAxiom:0)
% 61.56/61.65 %VarNum:128(SingletonVarNum:50)
% 61.56/61.65 %MaxLitNum:4
% 61.56/61.65 %MaxfuncDepth:2
% 61.56/61.65 %SharedTerms:13
% 61.56/61.65 %goalClause: 5 6 7 9
% 61.56/61.65 %singleGoalClaCount:4
% 61.56/61.65 [1]P1(a1)
% 61.56/61.65 [2]P1(a4)
% 61.56/61.65 [3]P1(a2)
% 61.56/61.65 [4]P1(a5)
% 61.56/61.65 [5]P2(a5,a1)
% 61.56/61.65 [6]P3(a1,a2)
% 61.56/61.65 [7]P3(a2,a5)
% 61.56/61.65 [8]~P2(a1,a4)
% 61.56/61.65 [9]~P2(a2,a1)
% 61.56/61.65 [11]~P1(x111)+P2(x111,x111)
% 61.56/61.65 [10]~P1(x101)+P1(f6(x101))
% 61.56/61.65 [15]~P1(x151)+P2(f3(a1,x151),x151)
% 61.56/61.65 [16]~P1(x161)+P2(f8(a4,x161),x161)
% 61.56/61.65 [19]~P1(x191)+P2(f3(x191,f6(x191)),a1)
% 61.56/61.65 [13]~P2(x132,x131)+P2(x131,x132)
% 61.56/61.65 [12]~P1(x121)+P2(x121,a1)+P1(f7(x121))
% 61.56/61.65 [24]~P1(x241)+P2(x241,a1)+P2(f8(x241,f7(x241)),a4)
% 61.56/61.65 [21]~P3(x212,x211)+~P3(x211,x212)+P2(x211,x212)
% 61.56/61.65 [17]~P1(x172)+~P1(x171)+P1(f3(x171,x172))
% 61.56/61.65 [18]~P1(x182)+~P1(x181)+P1(f8(x181,x182))
% 61.56/61.65 [25]~P3(a1,x252)+~P3(a1,x251)+P3(a1,f8(x251,x252))
% 61.56/61.65 [26]~P1(x262)+~P1(x261)+P2(f3(x261,x262),f3(x262,x261))
% 61.56/61.65 [27]~P1(x272)+~P1(x271)+P2(f8(x271,x272),f8(x272,x271))
% 61.56/61.65 [20]~P2(x201,x203)+P2(x201,x202)+~P2(x203,x202)
% 61.56/61.65 [22]~P3(x223,x222)+P3(x221,x222)+~P2(x223,x221)
% 61.56/61.65 [23]~P3(x231,x233)+P3(x231,x232)+~P3(x233,x232)
% 61.56/61.65 [28]~P1(x282)+~P2(x281,x283)+P2(f3(x281,x282),f3(x283,x282))
% 61.56/61.65 [29]~P1(x292)+~P2(x291,x293)+P2(f8(x291,x292),f8(x293,x292))
% 61.56/61.65 [30]~P1(x302)+~P3(x301,x303)+P3(f3(x301,x302),f3(x303,x302))
% 61.56/61.65 [14]P3(x142,x141)+~P1(x141)+~P1(x142)+P3(x141,x142)
% 61.56/61.65 [31]~P1(x313)+~P1(x312)+~P1(x311)+P2(f3(x311,f3(x312,x313)),f3(f3(x311,x312),x313))
% 61.56/61.65 [32]~P1(x323)+~P1(x322)+~P1(x321)+P2(f8(x321,f8(x322,x323)),f8(f8(x321,x322),x323))
% 61.56/61.65 [33]~P1(x333)+~P1(x332)+~P1(x331)+P2(f3(f8(x331,x332),f8(x333,x332)),f8(f3(x331,x333),x332))
% 61.56/61.65 %EqnAxiom
% 61.56/61.65
% 61.56/61.65 %-------------------------------------------
% 61.56/61.66 cnf(34,plain,
% 61.56/61.66 (~P2(a1,a2)),
% 61.56/61.66 inference(scs_inference,[],[9,13])).
% 61.56/61.66 cnf(36,plain,
% 61.56/61.66 (~P2(a2,a5)),
% 61.56/61.66 inference(scs_inference,[],[5,9,13,20])).
% 61.56/61.66 cnf(38,plain,
% 61.56/61.66 (~P3(a2,a1)),
% 61.56/61.66 inference(scs_inference,[],[5,6,9,13,20,21])).
% 61.56/61.66 cnf(42,plain,
% 61.56/61.66 (P3(a1,a1)),
% 61.56/61.66 inference(scs_inference,[],[5,6,7,9,1,13,20,21,23,14])).
% 61.56/61.66 cnf(44,plain,
% 61.56/61.66 (~P3(a5,x441)+P3(a1,x441)),
% 61.56/61.66 inference(scs_inference,[],[5,6,7,9,1,13,20,21,23,14,22])).
% 61.56/61.66 cnf(46,plain,
% 61.56/61.66 (~P2(a5,a2)),
% 61.56/61.66 inference(scs_inference,[],[36,13])).
% 61.56/61.66 cnf(50,plain,
% 61.56/61.66 (P3(a4,a4)),
% 61.56/61.66 inference(scs_inference,[],[7,36,2,13,21,14])).
% 61.56/61.66 cnf(52,plain,
% 61.56/61.66 (~P2(a4,a1)),
% 61.56/61.66 inference(scs_inference,[],[8,13])).
% 61.56/61.66 cnf(56,plain,
% 61.56/61.66 (P3(a2,a2)),
% 61.56/61.66 inference(scs_inference,[],[50,3,8,13,21,14])).
% 61.56/61.66 cnf(62,plain,
% 61.56/61.66 (P3(a5,a5)),
% 61.56/61.66 inference(scs_inference,[],[5,52,56,4,20,21,14])).
% 61.56/61.66 cnf(64,plain,
% 61.56/61.66 (~P2(a5,a4)),
% 61.56/61.66 inference(scs_inference,[],[5,52,56,4,20,21,14,13])).
% 61.56/61.66 cnf(81,plain,
% 61.56/61.66 (P3(a1,f8(a5,a5))),
% 61.56/61.66 inference(scs_inference,[],[62,44,25])).
% 61.56/61.66 cnf(282,plain,
% 61.56/61.66 (P1(f6(f3(a4,a4)))),
% 61.56/61.66 inference(scs_inference,[],[2,10,17])).
% 61.56/61.66 cnf(299,plain,
% 61.56/61.66 (P1(f6(f8(a4,a4)))),
% 61.56/61.66 inference(scs_inference,[],[2,10,18])).
% 61.56/61.66 cnf(416,plain,
% 61.56/61.66 (P1(f6(f3(a5,a5)))),
% 61.56/61.66 inference(scs_inference,[],[4,10,17])).
% 61.56/61.66 cnf(417,plain,
% 61.56/61.66 (P3(f6(f3(a5,a5)),f6(f3(a5,a5)))),
% 61.56/61.66 inference(scs_inference,[],[416,14])).
% 61.56/61.66 cnf(419,plain,
% 61.56/61.66 (P1(f6(f8(a5,a5)))),
% 61.56/61.66 inference(scs_inference,[],[4,10,18])).
% 61.56/61.66 cnf(422,plain,
% 61.56/61.66 (P3(f6(f8(a5,a5)),f6(f8(a5,a5)))),
% 61.56/61.66 inference(scs_inference,[],[417,419,21,14])).
% 61.56/61.66 cnf(424,plain,
% 61.56/61.66 (P2(f3(f6(a5),f6(f6(a5))),a1)),
% 61.56/61.66 inference(scs_inference,[],[4,10,19])).
% 61.56/61.66 cnf(431,plain,
% 61.56/61.66 (~P3(f3(f6(a5),f6(f6(a5))),x4311)+P3(a1,x4311)),
% 61.56/61.66 inference(scs_inference,[],[9,422,424,20,21,13,22])).
% 61.56/61.66 cnf(436,plain,
% 61.56/61.66 (~P3(f3(f6(a5),f6(f6(a5))),x4361)+P3(a1,f8(a2,x4361))),
% 61.56/61.66 inference(scs_inference,[],[6,431,25])).
% 61.56/61.66 cnf(441,plain,
% 61.56/61.66 (~P3(f3(f6(a5),f6(f6(a5))),a2)+P3(a1,f8(a2,a5))),
% 61.56/61.66 inference(scs_inference,[],[7,436,23])).
% 61.56/61.66 cnf(442,plain,
% 61.56/61.66 (~P2(a1,f3(f6(a5),f6(f6(a5))))+P3(a1,f8(a2,a5))),
% 61.56/61.66 inference(scs_inference,[],[6,441,22])).
% 61.56/61.66 cnf(947,plain,
% 61.56/61.66 (P3(a1,f8(a2,a5))),
% 61.56/61.66 inference(scs_inference,[],[424,13,442])).
% 61.56/61.66 cnf(961,plain,
% 61.56/61.66 (P2(a4,f3(a1,a4))),
% 61.56/61.66 inference(scs_inference,[],[2,13,15])).
% 61.56/61.66 cnf(1041,plain,
% 61.56/61.66 (P2(a1,f3(a4,f6(a4)))),
% 61.56/61.66 inference(scs_inference,[],[2,13,19])).
% 61.56/61.66 cnf(1174,plain,
% 61.56/61.66 (P3(f3(a4,f6(a4)),a1)),
% 61.56/61.66 inference(scs_inference,[],[42,1041,22])).
% 61.56/61.66 cnf(1447,plain,
% 61.56/61.66 (P1(f7(a2))),
% 61.56/61.66 inference(scs_inference,[],[34,3,13,12])).
% 61.56/61.66 cnf(1455,plain,
% 61.56/61.66 (P2(f8(a2,f7(a2)),a4)),
% 61.56/61.66 inference(scs_inference,[],[34,3,13,24])).
% 61.56/61.66 cnf(1458,plain,
% 61.56/61.66 (~P2(f8(a2,f7(a2)),a5)),
% 61.56/61.66 inference(scs_inference,[],[64,1455,20,13])).
% 61.56/61.66 cnf(1494,plain,
% 61.56/61.66 (~P2(f8(a2,f7(a2)),a1)),
% 61.56/61.66 inference(scs_inference,[],[5,1458,13,20])).
% 61.56/61.66 cnf(1614,plain,
% 61.56/61.66 (P2(a4,f8(a4,f7(a4)))),
% 61.56/61.66 inference(scs_inference,[],[52,2,13,24])).
% 61.56/61.66 cnf(1674,plain,
% 61.56/61.66 (P2(f8(a2,f7(a2)),f8(a4,f7(a4)))),
% 61.56/61.66 inference(scs_inference,[],[1455,1614,20])).
% 61.56/61.66 cnf(1716,plain,
% 61.56/61.66 (P2(a2,f3(a1,a2))),
% 61.56/61.66 inference(scs_inference,[],[3,13,15])).
% 61.56/61.66 cnf(1717,plain,
% 61.56/61.66 (P3(f3(a1,a2),a5)),
% 61.56/61.66 inference(scs_inference,[],[7,1716,22])).
% 61.56/61.66 cnf(1719,plain,
% 61.56/61.66 (~P3(x17191,f3(a1,a2))+P3(x17191,a5)),
% 61.56/61.66 inference(scs_inference,[],[7,1716,22,23])).
% 61.56/61.66 cnf(1726,plain,
% 61.56/61.66 (P3(f3(f3(a4,f6(a4)),a2),a5)),
% 61.56/61.66 inference(scs_inference,[],[1174,3,1719,30])).
% 61.56/61.66 cnf(1732,plain,
% 61.56/61.66 (P2(f3(a1,a2),a5)+~P3(a5,f3(a1,a2))),
% 61.56/61.66 inference(scs_inference,[],[1717,21])).
% 61.56/61.66 cnf(1737,plain,
% 61.56/61.66 (P2(f3(f3(a4,f6(a4)),a2),a5)+~P3(a5,f3(f3(a4,f6(a4)),a2))),
% 61.56/61.66 inference(scs_inference,[],[1726,21])).
% 61.56/61.66 cnf(1742,plain,
% 61.56/61.66 (P2(a5,f3(a1,a2))+~P3(a5,f3(a1,a2))),
% 61.56/61.66 inference(scs_inference,[],[1732,13])).
% 61.56/61.66 cnf(1743,plain,
% 61.56/61.66 (~P2(f3(a1,a2),a2)+~P3(a5,f3(a1,a2))),
% 61.56/61.66 inference(scs_inference,[],[46,1742,20])).
% 61.56/61.66 cnf(1744,plain,
% 61.56/61.66 (~P3(a5,f3(a1,a2))),
% 61.56/61.66 inference(scs_inference,[],[3,1743,15])).
% 61.56/61.66 cnf(1753,plain,
% 61.56/61.66 (P2(a5,f3(f3(a4,f6(a4)),a2))+~P3(a5,f3(f3(a4,f6(a4)),a2))),
% 61.56/61.66 inference(scs_inference,[],[1737,13])).
% 61.56/61.66 cnf(1767,plain,
% 61.56/61.66 (~P2(f3(f3(a4,f6(a4)),a2),a2)+~P3(a5,f3(f3(a4,f6(a4)),a2))),
% 61.56/61.66 inference(scs_inference,[],[46,1753,20])).
% 61.56/61.66 cnf(1768,plain,
% 61.56/61.66 (~P2(a2,f3(f3(a4,f6(a4)),a2))+~P3(a5,f3(f3(a4,f6(a4)),a2))),
% 61.56/61.66 inference(scs_inference,[],[1767,13])).
% 61.56/61.66 cnf(1769,plain,
% 61.56/61.66 (~P2(f3(a1,a2),f3(f3(a4,f6(a4)),a2))+~P3(a5,f3(f3(a4,f6(a4)),a2))),
% 61.56/61.66 inference(scs_inference,[],[1716,1768,20])).
% 61.56/61.66 cnf(1770,plain,
% 61.56/61.66 (~P3(a5,f3(f3(a4,f6(a4)),a2))),
% 61.56/61.66 inference(scs_inference,[],[1041,3,1769,28])).
% 61.56/61.66 cnf(1836,plain,
% 61.56/61.66 (~P3(a1,f3(a1,a2))),
% 61.56/61.66 inference(scs_inference,[],[5,1744,13,22])).
% 61.56/61.66 cnf(1899,plain,
% 61.56/61.66 (~P3(a1,f3(f3(a4,f6(a4)),a2))),
% 61.56/61.66 inference(scs_inference,[],[5,1770,13,22])).
% 61.56/61.66 cnf(1984,plain,
% 61.56/61.66 (~P1(f3(a1,a2))+P3(f3(a1,a2),a1)),
% 61.56/61.66 inference(scs_inference,[],[1836,1,14])).
% 61.56/61.66 cnf(1989,plain,
% 61.56/61.66 (P3(f3(a1,a2),a1)),
% 61.56/61.66 inference(scs_inference,[],[3,1,1984,17])).
% 61.56/61.66 cnf(2193,plain,
% 61.56/61.66 (P2(f3(a1,a4),f3(a1,a4))),
% 61.56/61.66 inference(scs_inference,[],[2,961,15,20])).
% 61.56/61.66 cnf(2337,plain,
% 61.56/61.66 (P2(f3(a1,a1),a1)),
% 61.56/61.66 inference(scs_inference,[],[299,1,10,15])).
% 61.56/61.66 cnf(2339,plain,
% 61.56/61.66 (P2(f8(a4,f7(a2)),f7(a2))),
% 61.56/61.66 inference(scs_inference,[],[299,1447,1,10,15,16])).
% 61.56/61.66 cnf(2345,plain,
% 61.56/61.66 (P1(f3(f7(a2),f7(a2)))),
% 61.56/61.66 inference(scs_inference,[],[1674,299,1447,1,10,15,16,19,13,17])).
% 61.56/61.66 cnf(2349,plain,
% 61.56/61.66 (P1(f7(a4))),
% 61.56/61.66 inference(scs_inference,[],[1674,299,1447,52,1,2,10,15,16,19,13,17,18,12])).
% 61.56/61.66 cnf(2359,plain,
% 61.56/61.66 (P3(a1,f8(a2,a2))),
% 61.56/61.66 inference(scs_inference,[],[6,2193,1674,299,1447,52,1,2,10,15,16,19,13,17,18,12,27,28,29,24,25])).
% 61.56/61.66 cnf(2361,plain,
% 61.56/61.66 (P2(f3(a2,a2),f3(a2,a2))),
% 61.56/61.66 inference(scs_inference,[],[6,2193,1674,299,1447,52,1,3,2,10,15,16,19,13,17,18,12,27,28,29,24,25,26])).
% 61.56/61.66 cnf(2367,plain,
% 61.56/61.66 (~P2(f8(a4,f7(a4)),a1)),
% 61.56/61.66 inference(scs_inference,[],[6,2193,1674,1899,1494,299,1447,52,1,3,2,10,15,16,19,13,17,18,12,27,28,29,24,25,26,30,23,20])).
% 61.56/61.66 cnf(2387,plain,
% 61.56/61.66 (P2(f3(a1,a2),a2)),
% 61.56/61.66 inference(scs_inference,[],[3,15])).
% 61.56/61.67 cnf(2393,plain,
% 61.56/61.67 (P2(f8(a4,f7(a4)),f7(a4))),
% 61.56/61.67 inference(scs_inference,[],[2349,2345,3,15,10,19,16])).
% 61.56/61.67 cnf(2395,plain,
% 61.56/61.67 (P2(a1,f3(a1,a1))),
% 61.56/61.67 inference(scs_inference,[],[2349,2337,2345,3,15,10,19,16,13])).
% 61.56/61.67 cnf(2397,plain,
% 61.56/61.67 (P1(f8(f7(a4),f7(a4)))),
% 61.56/61.67 inference(scs_inference,[],[2349,2337,2345,3,15,10,19,16,13,18])).
% 61.56/61.67 cnf(2403,plain,
% 61.56/61.67 (P2(f8(a1,a1),f8(a1,a1))),
% 61.56/61.67 inference(scs_inference,[],[2361,2349,2337,2359,2345,1,3,15,10,19,16,13,18,29,25,27])).
% 61.56/61.67 cnf(2407,plain,
% 61.56/61.67 (P1(f3(f7(a4),f7(a4)))),
% 61.56/61.67 inference(scs_inference,[],[2361,2349,2337,2359,2345,1,3,15,10,19,16,13,18,29,25,27,28,17])).
% 61.56/61.67 cnf(2434,plain,
% 61.56/61.67 (P2(f3(a1,a5),a5)),
% 61.56/61.67 inference(scs_inference,[],[2397,4,10,15])).
% 61.56/61.67 cnf(2436,plain,
% 61.56/61.67 (P2(f8(a4,a1),a1)),
% 61.56/61.67 inference(scs_inference,[],[2397,1,4,10,15,16])).
% 61.56/61.67 cnf(2444,plain,
% 61.56/61.67 (P1(f8(a1,a1))),
% 61.56/61.67 inference(scs_inference,[],[2339,2397,947,1,4,10,15,16,19,13,25,18])).
% 61.56/61.67 cnf(2446,plain,
% 61.56/61.67 (P2(f8(a2,a2),f8(a2,a2))),
% 61.56/61.67 inference(scs_inference,[],[2339,2397,947,1,3,4,10,15,16,19,13,25,18,27])).
% 61.56/61.67 cnf(2448,plain,
% 61.56/61.67 (P1(f3(a1,a1))),
% 61.56/61.67 inference(scs_inference,[],[2339,2397,947,1,3,4,10,15,16,19,13,25,18,27,17])).
% 61.56/61.67 cnf(2452,plain,
% 61.56/61.67 (P2(f3(a5,a5),f3(a5,a5))),
% 61.56/61.67 inference(scs_inference,[],[2387,2339,2397,947,2349,1,3,4,10,15,16,19,13,25,18,27,17,28,26])).
% 61.56/61.67 cnf(2454,plain,
% 61.56/61.67 (P3(f3(a1,a1),f3(a2,a1))),
% 61.56/61.67 inference(scs_inference,[],[6,2387,2339,2397,947,2349,1,3,4,10,15,16,19,13,25,18,27,17,28,26,30])).
% 61.56/61.67 cnf(2473,plain,
% 61.56/61.67 (P2(f3(a1,f3(a1,a1)),f3(a1,a1))),
% 61.56/61.67 inference(scs_inference,[],[2448,15])).
% 61.56/61.67 cnf(2485,plain,
% 61.56/61.67 (P1(f8(f3(a1,a1),f3(a1,a1)))),
% 61.56/61.67 inference(scs_inference,[],[2448,2446,2436,2407,15,10,19,16,13,29,18])).
% 61.56/61.67 cnf(2501,plain,
% 61.56/61.67 (P2(f8(a4,a1),f3(a1,a1))),
% 61.56/61.67 inference(scs_inference,[],[6,2448,2446,2436,2407,2395,1899,81,15,10,19,16,13,29,18,27,25,17,28,26,30,23,20])).
% 61.56/61.67 cnf(2503,plain,
% 61.56/61.67 (P3(a1,f3(a2,a1))),
% 61.56/61.67 inference(scs_inference,[],[6,2448,2446,2454,2436,2407,2337,2395,1899,81,15,10,19,16,13,29,18,27,25,17,28,26,30,23,20,22])).
% 61.56/61.67 cnf(2524,plain,
% 61.56/61.67 (P1(f8(f8(a1,a1),f8(a1,a1)))),
% 61.56/61.67 inference(scs_inference,[],[2501,2485,2444,10,15,16,19,13,18])).
% 61.56/61.67 cnf(2534,plain,
% 61.56/61.67 (P1(f3(f8(a1,a1),f8(a1,a1)))),
% 61.56/61.67 inference(scs_inference,[],[2403,2501,2503,2485,2444,4,10,15,16,19,13,18,29,27,25,28,17])).
% 61.56/61.67 cnf(2540,plain,
% 61.56/61.67 (~P2(f7(a4),a1)),
% 61.56/61.67 inference(scs_inference,[],[6,2403,2501,2503,2393,2485,2367,2444,1899,4,10,15,16,19,13,18,29,27,25,28,17,30,23,20])).
% 61.56/61.67 cnf(2553,plain,
% 61.56/61.67 (P2(f3(a1,a4),a4)),
% 61.56/61.67 inference(scs_inference,[],[2,15])).
% 61.56/61.67 cnf(2559,plain,
% 61.56/61.67 (P2(f8(a4,a2),a2)),
% 61.56/61.67 inference(scs_inference,[],[2524,3,2,15,10,19,16])).
% 61.56/61.67 cnf(2565,plain,
% 61.56/61.67 (P1(f8(a2,a2))),
% 61.56/61.67 inference(scs_inference,[],[2434,2540,2524,2349,3,2,15,10,19,16,13,24,18])).
% 61.56/61.67 cnf(2567,plain,
% 61.56/61.67 (P3(a1,f8(a1,a1))),
% 61.56/61.67 inference(scs_inference,[],[2434,2540,2524,2349,42,3,2,15,10,19,16,13,24,18,25])).
% 61.56/61.67 cnf(2569,plain,
% 61.56/61.67 (P1(f3(a2,a2))),
% 61.56/61.67 inference(scs_inference,[],[2434,2540,2524,2349,42,3,2,15,10,19,16,13,24,18,25,17])).
% 61.56/61.67 cnf(2606,plain,
% 61.56/61.67 (P1(f3(f8(a2,a2),f8(a2,a2)))),
% 61.56/61.67 inference(scs_inference,[],[2553,2565,2569,2567,2559,2534,10,15,16,19,13,29,18,27,25,28,17])).
% 61.56/61.67 cnf(2633,plain,
% 61.56/61.67 (P1(f8(f3(a2,a2),f3(a2,a2)))),
% 61.56/61.67 inference(scs_inference,[],[2452,2473,2606,2569,15,10,19,16,13,29,18])).
% 61.56/61.67 cnf(2653,plain,
% 61.56/61.67 (P2(f3(a5,f6(a5)),a1)),
% 61.56/61.67 inference(scs_inference,[],[2633,4,10,16,19])).
% 61.56/61.67 cnf(2972,plain,
% 61.56/61.67 ($false),
% 61.56/61.67 inference(scs_inference,[],[2653,282,2387,38,1989,10,13,22]),
% 61.56/61.67 ['proof']).
% 61.56/61.67 % SZS output end Proof
% 61.56/61.67 % Total time :61.020000s
%------------------------------------------------------------------------------