TSTP Solution File: FLD069-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD069-1 : 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 : n020.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 22:26:57 EDT 2023
% Result : Unsatisfiable 0.75s 0.86s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD069-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 00:50:44 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 0.75/0.86 %-------------------------------------------
% 0.75/0.86 % File :CSE---1.6
% 0.75/0.86 % Problem :theBenchmark
% 0.75/0.86 % Transform :cnf
% 0.75/0.86 % Format :tptp:raw
% 0.75/0.86 % Command :java -jar mcs_scs.jar %d %s
% 0.75/0.86
% 0.75/0.86 % Result :Theorem 0.250000s
% 0.75/0.86 % Output :CNFRefutation 0.250000s
% 0.75/0.86 %-------------------------------------------
% 0.75/0.86 %--------------------------------------------------------------------------
% 0.75/0.86 % File : FLD069-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.75/0.86 % Domain : Field Theory (Ordered fields)
% 0.75/0.86 % Problem : If b > 0 and a >= 0, then a + b not 0
% 0.75/0.86 % Version : [Dra93] axioms : Especial.
% 0.75/0.86 % Theorem formulation : Functional with glxx axiom set.
% 0.75/0.86 % English :
% 0.75/0.86
% 0.75/0.86 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.75/0.86 % Source : [Dra93]
% 0.75/0.86 % Names :
% 0.75/0.86
% 0.75/0.86 % Status : Unsatisfiable
% 0.75/0.86 % Rating : 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.14 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.20 v2.3.0, 0.33 v2.2.1, 0.67 v2.1.0
% 0.75/0.86 % Syntax : Number of clauses : 33 ( 9 unt; 3 nHn; 33 RR)
% 0.75/0.86 % Number of literals : 79 ( 0 equ; 45 neg)
% 0.75/0.86 % Maximal clause size : 4 ( 2 avg)
% 0.75/0.86 % Maximal term depth : 3 ( 1 avg)
% 0.75/0.86 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.75/0.86 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.75/0.86 % Number of variables : 50 ( 0 sgn)
% 0.75/0.86 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.75/0.86
% 0.75/0.86 % Comments :
% 0.75/0.86 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 0.75/0.86 %--------------------------------------------------------------------------
% 0.75/0.86 include('Axioms/FLD001-0.ax').
% 0.75/0.86 %--------------------------------------------------------------------------
% 0.75/0.86 cnf(a_is_defined,hypothesis,
% 0.75/0.86 defined(a) ).
% 0.75/0.86
% 0.75/0.86 cnf(b_is_defined,hypothesis,
% 0.75/0.86 defined(b) ).
% 0.75/0.86
% 0.75/0.86 cnf(less_or_equal_3,negated_conjecture,
% 0.75/0.86 less_or_equal(additive_identity,a) ).
% 0.75/0.86
% 0.75/0.86 cnf(less_or_equal_4,negated_conjecture,
% 0.75/0.86 less_or_equal(additive_identity,b) ).
% 0.75/0.86
% 0.75/0.86 cnf(b_not_equal_to_additive_identity_5,negated_conjecture,
% 0.75/0.86 ~ equalish(b,additive_identity) ).
% 0.75/0.86
% 0.75/0.86 cnf(add_equals_additive_identity_6,negated_conjecture,
% 0.75/0.86 equalish(add(a,b),additive_identity) ).
% 0.75/0.86
% 0.75/0.86 %--------------------------------------------------------------------------
% 0.75/0.86 %-------------------------------------------
% 0.75/0.86 % Proof found
% 0.75/0.86 % SZS status Theorem for theBenchmark
% 0.75/0.86 % SZS output start Proof
% 0.75/0.86 %ClaNum:33(EqnAxiom:0)
% 0.75/0.86 %VarNum:128(SingletonVarNum:50)
% 0.75/0.86 %MaxLitNum:4
% 0.75/0.86 %MaxfuncDepth:2
% 0.75/0.86 %SharedTerms:14
% 0.75/0.86 %goalClause: 5 6 7 9
% 0.75/0.86 %singleGoalClaCount:4
% 0.75/0.86 [1]P1(a1)
% 0.75/0.86 [2]P1(a4)
% 0.75/0.86 [3]P1(a2)
% 0.75/0.86 [4]P1(a5)
% 0.75/0.86 [5]P2(a1,a2)
% 0.75/0.86 [6]P2(a1,a5)
% 0.75/0.86 [8]~P3(a1,a4)
% 0.75/0.86 [9]~P3(a5,a1)
% 0.75/0.86 [7]P3(f3(a2,a5),a1)
% 0.75/0.86 [11]~P1(x111)+P3(x111,x111)
% 0.75/0.86 [10]~P1(x101)+P1(f6(x101))
% 0.75/0.86 [15]~P1(x151)+P3(f3(a1,x151),x151)
% 0.75/0.86 [16]~P1(x161)+P3(f8(a4,x161),x161)
% 0.75/0.86 [19]~P1(x191)+P3(f3(x191,f6(x191)),a1)
% 0.75/0.86 [13]~P3(x132,x131)+P3(x131,x132)
% 0.75/0.86 [12]~P1(x121)+P3(x121,a1)+P1(f7(x121))
% 0.75/0.86 [24]~P1(x241)+P3(x241,a1)+P3(f8(x241,f7(x241)),a4)
% 0.75/0.86 [21]~P2(x212,x211)+~P2(x211,x212)+P3(x211,x212)
% 0.75/0.86 [17]~P1(x172)+~P1(x171)+P1(f3(x171,x172))
% 0.75/0.86 [18]~P1(x182)+~P1(x181)+P1(f8(x181,x182))
% 0.75/0.86 [25]~P2(a1,x252)+~P2(a1,x251)+P2(a1,f8(x251,x252))
% 0.75/0.86 [26]~P1(x262)+~P1(x261)+P3(f3(x261,x262),f3(x262,x261))
% 0.75/0.86 [27]~P1(x272)+~P1(x271)+P3(f8(x271,x272),f8(x272,x271))
% 0.75/0.86 [20]~P3(x201,x203)+P3(x201,x202)+~P3(x203,x202)
% 0.75/0.86 [22]~P2(x223,x222)+P2(x221,x222)+~P3(x223,x221)
% 0.75/0.86 [23]~P2(x231,x233)+P2(x231,x232)+~P2(x233,x232)
% 0.75/0.86 [28]~P1(x282)+~P3(x281,x283)+P3(f3(x281,x282),f3(x283,x282))
% 0.75/0.86 [29]~P1(x292)+~P3(x291,x293)+P3(f8(x291,x292),f8(x293,x292))
% 0.75/0.86 [30]~P1(x302)+~P2(x301,x303)+P2(f3(x301,x302),f3(x303,x302))
% 0.75/0.86 [14]P2(x142,x141)+~P1(x141)+~P1(x142)+P2(x141,x142)
% 0.75/0.86 [31]~P1(x313)+~P1(x312)+~P1(x311)+P3(f3(x311,f3(x312,x313)),f3(f3(x311,x312),x313))
% 0.75/0.86 [32]~P1(x323)+~P1(x322)+~P1(x321)+P3(f8(x321,f8(x322,x323)),f8(f8(x321,x322),x323))
% 0.75/0.86 [33]~P1(x333)+~P1(x332)+~P1(x331)+P3(f3(f8(x331,x332),f8(x333,x332)),f8(f3(x331,x333),x332))
% 0.75/0.86 %EqnAxiom
% 0.75/0.87
% 0.75/0.87 %-------------------------------------------
% 0.75/0.87 cnf(34,plain,
% 0.75/0.87 (~P3(a1,a5)),
% 0.75/0.87 inference(scs_inference,[],[9,13])).
% 0.75/0.87 cnf(35,plain,
% 0.75/0.87 (~P2(a5,a1)),
% 0.75/0.87 inference(scs_inference,[],[6,9,13,21])).
% 0.75/0.87 cnf(38,plain,
% 0.75/0.87 (P2(a1,a1)),
% 0.75/0.87 inference(scs_inference,[],[6,9,1,7,13,21,20,14])).
% 0.75/0.87 cnf(40,plain,
% 0.75/0.87 (P3(a1,a1)),
% 0.75/0.87 inference(scs_inference,[],[6,9,1,7,13,21,20,14,11])).
% 0.75/0.87 cnf(42,plain,
% 0.75/0.87 (P3(f8(a4,a1),a1)),
% 0.75/0.87 inference(scs_inference,[],[6,9,1,7,13,21,20,14,11,16])).
% 0.75/0.87 cnf(44,plain,
% 0.75/0.87 (P3(f3(a1,a1),a1)),
% 0.75/0.87 inference(scs_inference,[],[6,9,1,7,13,21,20,14,11,16,15])).
% 0.75/0.87 cnf(46,plain,
% 0.75/0.87 (P1(f6(a1))),
% 0.75/0.87 inference(scs_inference,[],[6,9,1,7,13,21,20,14,11,16,15,10])).
% 0.75/0.87 cnf(48,plain,
% 0.75/0.87 (P3(f3(a1,f6(a1)),a1)),
% 0.75/0.87 inference(scs_inference,[],[6,9,1,7,13,21,20,14,11,16,15,10,19])).
% 0.75/0.87 cnf(50,plain,
% 0.75/0.87 (~P2(a2,x501)+P2(a1,x501)),
% 0.75/0.87 inference(scs_inference,[],[5,6,9,1,7,13,21,20,14,11,16,15,10,19,23])).
% 0.75/0.87 cnf(52,plain,
% 0.75/0.87 (P2(a1,f8(a2,a2))),
% 0.75/0.87 inference(scs_inference,[],[5,6,9,1,7,13,21,20,14,11,16,15,10,19,23,25])).
% 0.75/0.87 cnf(56,plain,
% 0.75/0.87 (P1(f3(a1,a1))),
% 0.75/0.87 inference(scs_inference,[],[5,6,9,1,7,13,21,20,14,11,16,15,10,19,23,25,18,17])).
% 0.75/0.87 cnf(60,plain,
% 0.75/0.87 (P2(f3(a1,a1),f3(a2,a1))),
% 0.75/0.87 inference(scs_inference,[],[5,6,9,1,4,7,13,21,20,14,11,16,15,10,19,23,25,18,17,12,30])).
% 0.75/0.87 cnf(64,plain,
% 0.75/0.87 (P3(f3(f3(a2,a5),a1),f3(a1,a1))),
% 0.75/0.87 inference(scs_inference,[],[5,6,9,1,4,7,13,21,20,14,11,16,15,10,19,23,25,18,17,12,30,29,28])).
% 0.75/0.87 cnf(68,plain,
% 0.75/0.87 (P3(f3(a1,a1),f3(a1,a1))),
% 0.75/0.87 inference(scs_inference,[],[5,6,9,1,4,7,13,21,20,14,11,16,15,10,19,23,25,18,17,12,30,29,28,27,26])).
% 0.75/0.87 cnf(70,plain,
% 0.75/0.87 (P3(f8(a5,f7(a5)),a4)),
% 0.75/0.87 inference(scs_inference,[],[5,6,9,1,4,7,13,21,20,14,11,16,15,10,19,23,25,18,17,12,30,29,28,27,26,24])).
% 0.75/0.87 cnf(76,plain,
% 0.75/0.87 (P3(f3(f8(a1,a1),f8(a1,a1)),f8(f3(a1,a1),a1))),
% 0.75/0.87 inference(scs_inference,[],[5,6,9,1,4,7,13,21,20,14,11,16,15,10,19,23,25,18,17,12,30,29,28,27,26,24,32,31,33])).
% 0.75/0.87 cnf(80,plain,
% 0.75/0.87 (P3(a1,f3(a2,a5))),
% 0.75/0.87 inference(scs_inference,[],[7,60,44,22,13])).
% 0.75/0.87 cnf(82,plain,
% 0.75/0.87 (P2(a1,f8(a5,a5))),
% 0.75/0.87 inference(scs_inference,[],[6,7,60,44,22,13,25])).
% 0.75/0.87 cnf(98,plain,
% 0.75/0.87 (P2(f3(a1,a4),f3(a2,a4))),
% 0.75/0.87 inference(scs_inference,[],[5,2,8,6,7,60,44,22,13,25,18,17,29,28,26,31,20,30])).
% 0.75/0.87 cnf(104,plain,
% 0.75/0.87 (P3(f3(f8(a4,a4),f8(a4,a4)),f8(f3(a4,a4),a4))),
% 0.75/0.87 inference(scs_inference,[],[5,2,8,6,7,60,44,22,13,25,18,17,29,28,26,31,20,30,27,32,33])).
% 0.75/0.87 cnf(114,plain,
% 0.75/0.87 (~P3(a4,a1)),
% 0.75/0.87 inference(scs_inference,[],[8,13])).
% 0.75/0.87 cnf(120,plain,
% 0.75/0.87 (~P3(a1,f8(a5,f7(a5)))),
% 0.75/0.87 inference(scs_inference,[],[3,8,70,13,31,32,20])).
% 0.75/0.87 cnf(122,plain,
% 0.75/0.87 (P3(f3(f8(a2,a2),f8(a2,a2)),f8(f3(a2,a2),a2))),
% 0.75/0.87 inference(scs_inference,[],[3,8,70,13,31,32,20,33])).
% 0.75/0.87 cnf(139,plain,
% 0.75/0.87 (P2(f3(a1,a5),f3(a5,a5))),
% 0.75/0.87 inference(scs_inference,[],[6,4,76,13,20,30])).
% 0.75/0.87 cnf(145,plain,
% 0.75/0.87 (~P3(f8(a5,f7(a5)),a1)),
% 0.75/0.87 inference(scs_inference,[],[120,13])).
% 0.75/0.87 cnf(149,plain,
% 0.75/0.87 (P2(f3(a1,a2),f3(f8(a5,a5),a2))),
% 0.75/0.87 inference(scs_inference,[],[34,3,80,82,120,13,20,30])).
% 0.75/0.87 cnf(153,plain,
% 0.75/0.87 (P3(f3(a2,f6(a2)),a1)),
% 0.75/0.87 inference(scs_inference,[],[34,3,80,82,120,13,20,30,10,19])).
% 0.75/0.87 cnf(155,plain,
% 0.75/0.87 (P2(a2,a2)),
% 0.75/0.87 inference(scs_inference,[],[34,3,80,82,120,13,20,30,10,19,14])).
% 0.75/0.87 cnf(161,plain,
% 0.75/0.87 (P3(f3(a1,a2),a2)),
% 0.75/0.87 inference(scs_inference,[],[34,3,80,82,120,13,20,30,10,19,14,11,16,15])).
% 0.75/0.87 cnf(167,plain,
% 0.75/0.87 (P3(f8(a4,f7(a4)),a4)),
% 0.75/0.87 inference(scs_inference,[],[2,114,12,24])).
% 0.75/0.87 cnf(169,plain,
% 0.75/0.87 (P3(f3(a1,a1),f3(f3(a2,a5),a1))),
% 0.75/0.87 inference(scs_inference,[],[2,64,114,12,24,13])).
% 0.75/0.87 cnf(177,plain,
% 0.75/0.87 (P1(f3(a5,a5))),
% 0.75/0.87 inference(scs_inference,[],[7,4,2,64,114,12,24,13,20,18,26,17])).
% 0.75/0.87 cnf(181,plain,
% 0.75/0.87 (P3(f3(f3(a2,a5),a5),f3(a1,a5))),
% 0.75/0.87 inference(scs_inference,[],[7,4,2,64,114,12,24,13,20,18,26,17,29,28])).
% 0.75/0.87 cnf(185,plain,
% 0.75/0.87 (P2(a1,f8(f8(a2,a2),f8(a2,a2)))),
% 0.75/0.87 inference(scs_inference,[],[7,4,2,64,114,52,12,24,13,20,18,26,17,29,28,27,25])).
% 0.75/0.87 cnf(197,plain,
% 0.75/0.87 (P1(f8(a2,a2))),
% 0.75/0.87 inference(scs_inference,[],[3,169,60,22,18])).
% 0.75/0.87 cnf(203,plain,
% 0.75/0.87 (P3(f8(a2,a2),f8(a2,a2))),
% 0.75/0.87 inference(scs_inference,[],[4,3,68,169,60,22,18,29,28,27])).
% 0.75/0.87 cnf(207,plain,
% 0.75/0.87 (P2(a1,f8(a1,a1))),
% 0.75/0.87 inference(scs_inference,[],[4,3,68,169,38,60,22,18,29,28,27,26,25])).
% 0.75/0.87 cnf(209,plain,
% 0.75/0.87 (P1(f3(a2,a2))),
% 0.75/0.87 inference(scs_inference,[],[4,3,68,169,38,60,22,18,29,28,27,26,25,17])).
% 0.75/0.87 cnf(211,plain,
% 0.75/0.87 (~P3(a5,f3(a1,f6(a1)))),
% 0.75/0.87 inference(scs_inference,[],[9,4,3,68,48,169,38,60,22,18,29,28,27,26,25,17,20])).
% 0.75/0.87 cnf(219,plain,
% 0.75/0.87 (P3(f3(f8(a5,a5),f8(a5,a5)),f8(f3(a5,a5),a5))),
% 0.75/0.87 inference(scs_inference,[],[9,4,3,68,48,169,38,60,22,18,29,28,27,26,25,17,20,31,12,32,33])).
% 0.75/0.87 cnf(236,plain,
% 0.75/0.87 (P2(f3(a1,a2),f3(f8(f8(a2,a2),f8(a2,a2)),a2))),
% 0.75/0.87 inference(scs_inference,[],[3,185,161,211,64,169,149,22,20,13,30])).
% 0.75/0.87 cnf(246,plain,
% 0.75/0.87 (~P3(a1,f8(a4,f7(a4)))),
% 0.75/0.87 inference(scs_inference,[],[8,167,20])).
% 0.75/0.87 cnf(248,plain,
% 0.75/0.87 (P2(f3(a1,a1),f3(a1,a1))),
% 0.75/0.87 inference(scs_inference,[],[1,38,8,167,20,30])).
% 0.75/0.87 cnf(250,plain,
% 0.75/0.87 (P3(f8(f3(a5,a5),a5),f3(f8(a5,a5),f8(a5,a5)))),
% 0.75/0.87 inference(scs_inference,[],[1,38,8,219,167,20,30,13])).
% 0.75/0.87 cnf(256,plain,
% 0.75/0.87 (P3(f3(a1,a4),a4)),
% 0.75/0.87 inference(scs_inference,[],[1,38,8,2,219,167,20,30,13,10,16,15])).
% 0.75/0.87 cnf(266,plain,
% 0.75/0.87 (~P2(a5,f3(a2,a5))),
% 0.75/0.87 inference(scs_inference,[],[1,38,35,8,2,219,167,80,20,30,13,10,16,15,19,11,14,22,23])).
% 0.75/0.87 cnf(270,plain,
% 0.75/0.87 (~P3(f8(a5,f7(a5)),f8(a4,a1))),
% 0.75/0.87 inference(scs_inference,[],[42,145,20])).
% 0.75/0.87 cnf(272,plain,
% 0.75/0.87 (~P3(f8(a4,f7(a4)),a1)),
% 0.75/0.87 inference(scs_inference,[],[42,145,246,20,13])).
% 0.75/0.87 cnf(276,plain,
% 0.75/0.87 (P2(a1,f3(a1,a1))),
% 0.75/0.87 inference(scs_inference,[],[4,248,42,266,145,246,44,20,13,14,22])).
% 0.75/0.87 cnf(288,plain,
% 0.75/0.87 (P2(f3(a1,a4),f3(a1,a4))),
% 0.75/0.87 inference(scs_inference,[],[2,38,197,250,219,17,20,30])).
% 0.75/0.87 cnf(292,plain,
% 0.75/0.87 (P3(f8(f3(a4,a4),a4),f3(f8(a4,a4),f8(a4,a4)))),
% 0.75/0.87 inference(scs_inference,[],[2,38,197,104,250,219,17,20,30,21,13])).
% 0.75/0.87 cnf(306,plain,
% 0.75/0.87 (~P3(x3061,a5)+~P2(x3061,f3(a2,a5))),
% 0.75/0.87 inference(scs_inference,[],[2,40,38,4,197,104,250,276,219,266,17,20,30,21,13,28,18,29,25,27,26,22])).
% 0.75/0.87 cnf(317,plain,
% 0.75/0.87 (P1(f8(f3(a2,a2),f3(a2,a2)))),
% 0.75/0.87 inference(scs_inference,[],[2,4,203,209,207,11,29,28,25,18])).
% 0.75/0.87 cnf(323,plain,
% 0.75/0.87 (P2(a4,f3(a1,a4))),
% 0.75/0.87 inference(scs_inference,[],[2,4,203,209,288,256,207,11,29,28,25,18,27,26,22])).
% 0.75/0.87 cnf(329,plain,
% 0.75/0.87 (P2(f3(f3(a1,a4),a4),f3(f3(a1,a4),a4))),
% 0.75/0.87 inference(scs_inference,[],[2,4,203,209,288,270,256,207,70,11,29,28,25,18,27,26,22,17,20,30])).
% 0.75/0.87 cnf(351,plain,
% 0.75/0.87 (P3(a1,f8(a4,a1))),
% 0.75/0.87 inference(scs_inference,[],[42,292,329,323,104,161,98,236,22,20,23,21,13])).
% 0.75/0.87 cnf(357,plain,
% 0.75/0.87 (P3(f3(a1,a5),a5)),
% 0.75/0.87 inference(scs_inference,[],[42,4,292,329,323,104,161,98,236,22,20,23,21,13,10,16,15])).
% 0.75/0.87 cnf(369,plain,
% 0.75/0.87 (P2(f3(a1,a2),f3(a1,a2))),
% 0.75/0.87 inference(scs_inference,[],[3,42,38,4,317,292,177,329,323,104,161,98,236,22,20,23,21,13,10,16,15,19,50,12,24,17,30])).
% 0.75/0.87 cnf(371,plain,
% 0.75/0.87 (~P2(f3(a1,a5),f3(a2,a5))),
% 0.75/0.87 inference(scs_inference,[],[357,306])).
% 0.75/0.87 cnf(373,plain,
% 0.75/0.87 (~P2(f3(a1,a5),a1)),
% 0.75/0.87 inference(scs_inference,[],[35,357,306,22])).
% 0.75/0.87 cnf(379,plain,
% 0.75/0.87 (~P2(f3(a5,a5),f3(a2,a5))),
% 0.75/0.87 inference(scs_inference,[],[34,35,56,357,351,139,306,22,17,20,23])).
% 0.75/0.87 cnf(383,plain,
% 0.75/0.87 (P2(f3(f3(a1,a2),a2),f3(f3(a1,a2),a2))),
% 0.75/0.87 inference(scs_inference,[],[3,34,35,369,56,357,351,139,306,22,17,20,23,21,30])).
% 0.75/0.87 cnf(395,plain,
% 0.75/0.87 (~P2(a5,a2)),
% 0.75/0.87 inference(scs_inference,[],[4,42,181,379,371,272,22,20,30])).
% 0.75/0.87 cnf(397,plain,
% 0.75/0.87 (P3(a1,f3(a1,a1))),
% 0.75/0.87 inference(scs_inference,[],[4,42,44,181,379,371,272,22,20,30,13])).
% 0.75/0.87 cnf(410,plain,
% 0.75/0.87 (~P3(f8(a5,f7(a5)),f3(a2,f6(a2)))),
% 0.75/0.87 inference(scs_inference,[],[4,153,395,155,145,3,22,14,20])).
% 0.75/0.87 cnf(450,plain,
% 0.75/0.87 (P2(f3(a1,f6(a1)),f3(a1,f6(a1)))),
% 0.75/0.87 inference(scs_inference,[],[8,46,42,38,122,383,397,82,25,29,28,18,27,26,20,13,21,30])).
% 0.75/0.87 cnf(454,plain,
% 0.75/0.87 (P3(f3(a1,f6(a1)),f6(a1))),
% 0.75/0.87 inference(scs_inference,[],[8,46,42,38,122,383,397,82,25,29,28,18,27,26,20,13,21,30,10,15])).
% 0.75/0.87 cnf(482,plain,
% 0.75/0.87 ($false),
% 0.75/0.87 inference(scs_inference,[],[450,410,454,373,371,139,70,5,4,22,20,13,23,30]),
% 0.75/0.87 ['proof']).
% 0.75/0.87 % SZS output end Proof
% 0.75/0.87 % Total time :0.250000s
%------------------------------------------------------------------------------