%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD021-1 : 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 : n029.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 05:55:15 EDT 2024
% Result : Unsatisfiable 59.03s 59.12s
% Output : CNFRefutation 59.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : FLD021-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n029.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Jun 19 10:31:54 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.55 start to proof:theBenchmark
% 58.99/59.11 %-------------------------------------------
% 58.99/59.11 % File :CSE---1.7
% 58.99/59.11 % Problem :theBenchmark
% 58.99/59.11 % Transform :cnf
% 58.99/59.11 % Format :tptp:raw
% 58.99/59.11 % Command :java -jar mcs_scs.jar %d %s
% 58.99/59.11
% 58.99/59.11 % Result :Theorem 58.470000s
% 58.99/59.11 % Output :CNFRefutation 58.470000s
% 58.99/59.11 %-------------------------------------------
% 58.99/59.11 %--------------------------------------------------------------------------
% 58.99/59.11 % File : FLD021-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 58.99/59.11 % Domain : Field Theory (Ordered fields)
% 58.99/59.11 % Problem : Every element equal to zero is an additive identity
% 58.99/59.11 % Version : [Dra93] axioms : Especial.
% 58.99/59.11 % Theorem formulation : Functional with glxx axiom set.
% 58.99/59.11 % English :
% 58.99/59.11
% 58.99/59.12 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 58.99/59.12 % Source : [Dra93]
% 58.99/59.12 % Names :
% 58.99/59.12
% 58.99/59.12 % Status : Unsatisfiable
% 58.99/59.12 % Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.21 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 v2.2.1, 0.33 v2.1.0
% 59.03/59.12 % Syntax : Number of clauses : 31 ( 7 unt; 3 nHn; 31 RR)
% 59.03/59.12 % Number of literals : 77 ( 0 equ; 45 neg)
% 59.03/59.12 % Maximal clause size : 4 ( 2 avg)
% 59.03/59.12 % Maximal term depth : 3 ( 1 avg)
% 59.03/59.12 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 59.03/59.12 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 59.03/59.12 % Number of variables : 50 ( 0 sgn)
% 59.03/59.12 % SPC : CNF_UNS_RFO_NEQ_NHN
% 59.03/59.12
% 59.03/59.12 % Comments :
% 59.03/59.12 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 59.03/59.12 %--------------------------------------------------------------------------
% 59.03/59.12 include('Axioms/FLD001-0.ax').
% 59.03/59.12 %--------------------------------------------------------------------------
% 59.03/59.12 cnf(a_is_defined,hypothesis,
% 59.03/59.12 defined(a) ).
% 59.03/59.12
% 59.03/59.12 cnf(m_is_defined,hypothesis,
% 59.03/59.12 defined(m) ).
% 59.03/59.12
% 59.03/59.12 cnf(m_equals_additive_identity_3,negated_conjecture,
% 59.03/59.12 equalish(m,additive_identity) ).
% 59.03/59.12
% 59.03/59.12 cnf(add_not_equal_to_a_4,negated_conjecture,
% 59.03/59.12 ~ equalish(add(m,a),a) ).
% 59.03/59.12
% 59.03/59.12 %--------------------------------------------------------------------------
% 59.03/59.12 %-------------------------------------------
% 59.03/59.12 % Proof found
% 59.03/59.12 % SZS status Theorem for theBenchmark
% 59.03/59.12 % SZS output start Proof
% 59.03/59.12 %ClaNum:31(EqnAxiom:0)
% 59.03/59.12 %VarNum:128(SingletonVarNum:50)
% 59.03/59.12 %MaxLitNum:4
% 59.03/59.12 %MaxfuncDepth:2
% 59.03/59.12 %SharedTerms:12
% 59.03/59.12 %goalClause: 5 7
% 59.03/59.12 %singleGoalClaCount:2
% 59.03/59.12 [1]P1(a1)
% 59.03/59.12 [2]P1(a4)
% 59.03/59.12 [3]P1(a2)
% 59.03/59.12 [4]P1(a5)
% 59.03/59.12 [5]P2(a5,a1)
% 59.03/59.12 [6]~P2(a1,a4)
% 59.03/59.12 [7]~P2(f3(a5,a2),a2)
% 59.03/59.12 [9]~P1(x91)+P2(x91,x91)
% 59.03/59.12 [8]~P1(x81)+P1(f6(x81))
% 59.03/59.12 [13]~P1(x131)+P2(f3(a1,x131),x131)
% 59.03/59.12 [14]~P1(x141)+P2(f8(a4,x141),x141)
% 59.03/59.12 [17]~P1(x171)+P2(f3(x171,f6(x171)),a1)
% 59.03/59.12 [11]~P2(x112,x111)+P2(x111,x112)
% 59.03/59.12 [10]~P1(x101)+P2(x101,a1)+P1(f7(x101))
% 59.03/59.12 [22]~P1(x221)+P2(x221,a1)+P2(f8(x221,f7(x221)),a4)
% 59.03/59.12 [19]~P3(x192,x191)+~P3(x191,x192)+P2(x191,x192)
% 59.03/59.12 [15]~P1(x152)+~P1(x151)+P1(f3(x151,x152))
% 59.03/59.12 [16]~P1(x162)+~P1(x161)+P1(f8(x161,x162))
% 59.03/59.12 [23]~P3(a1,x232)+~P3(a1,x231)+P3(a1,f8(x231,x232))
% 59.03/59.12 [24]~P1(x242)+~P1(x241)+P2(f3(x241,x242),f3(x242,x241))
% 59.03/59.12 [25]~P1(x252)+~P1(x251)+P2(f8(x251,x252),f8(x252,x251))
% 59.03/59.12 [18]~P2(x181,x183)+P2(x181,x182)+~P2(x183,x182)
% 59.03/59.12 [20]~P3(x203,x202)+P3(x201,x202)+~P2(x203,x201)
% 59.03/59.12 [21]~P3(x211,x213)+P3(x211,x212)+~P3(x213,x212)
% 59.03/59.12 [26]~P1(x262)+~P2(x261,x263)+P2(f3(x261,x262),f3(x263,x262))
% 59.03/59.12 [27]~P1(x272)+~P2(x271,x273)+P2(f8(x271,x272),f8(x273,x272))
% 59.03/59.12 [28]~P1(x282)+~P3(x281,x283)+P3(f3(x281,x282),f3(x283,x282))
% 59.03/59.12 [12]P3(x122,x121)+~P1(x121)+~P1(x122)+P3(x121,x122)
% 59.03/59.12 [29]~P1(x293)+~P1(x292)+~P1(x291)+P2(f3(x291,f3(x292,x293)),f3(f3(x291,x292),x293))
% 59.03/59.12 [30]~P1(x303)+~P1(x302)+~P1(x301)+P2(f8(x301,f8(x302,x303)),f8(f8(x301,x302),x303))
% 59.03/59.12 [31]~P1(x313)+~P1(x312)+~P1(x311)+P2(f3(f8(x311,x312),f8(x313,x312)),f8(f3(x311,x313),x312))
% 59.03/59.12 %EqnAxiom
% 59.03/59.12
% 59.03/59.12 %-------------------------------------------
% 59.03/59.13 cnf(34,plain,
% 59.03/59.13 (P3(a1,a1)),
% 59.03/59.13 inference(scs_inference,[],[7,1,11,12])).
% 59.03/59.13 cnf(36,plain,
% 59.03/59.13 (~P2(x361,a5)+P2(x361,a1)),
% 59.03/59.13 inference(scs_inference,[],[5,7,1,11,12,18])).
% 59.03/59.13 cnf(40,plain,
% 59.03/59.13 (~P3(a5,x401)+P3(a1,x401)),
% 59.03/59.13 inference(scs_inference,[],[5,7,1,11,12,18,19,20])).
% 59.03/59.13 cnf(42,plain,
% 59.03/59.13 (~P2(a4,a1)),
% 59.03/59.13 inference(scs_inference,[],[6,11])).
% 59.03/59.13 cnf(56,plain,
% 59.03/59.13 (P3(a5,a5)),
% 59.03/59.13 inference(scs_inference,[],[4,12])).
% 59.03/59.13 cnf(58,plain,
% 59.03/59.13 (P3(a1,a5)),
% 59.03/59.13 inference(scs_inference,[],[5,4,12,20])).
% 59.03/59.13 cnf(60,plain,
% 59.03/59.13 (P2(a5,a5)),
% 59.03/59.13 inference(scs_inference,[],[5,4,12,20,19])).
% 59.03/59.13 cnf(73,plain,
% 59.03/59.13 (P2(a1,a5)),
% 59.03/59.13 inference(scs_inference,[],[60,36,11])).
% 59.03/59.13 cnf(74,plain,
% 59.03/59.13 (P3(a1,f8(a5,a5))),
% 59.03/59.13 inference(scs_inference,[],[56,40,23])).
% 59.03/59.13 cnf(80,plain,
% 59.03/59.13 (P2(f3(a1,f6(a1)),f6(a1))),
% 59.03/59.13 inference(scs_inference,[],[1,13,8])).
% 59.03/59.13 cnf(81,plain,
% 59.03/59.13 (~P2(x811,f3(a1,f6(a1)))+P2(x811,f6(a1))),
% 59.03/59.13 inference(scs_inference,[],[80,18])).
% 59.03/59.13 cnf(83,plain,
% 59.03/59.13 (~P2(a1,f3(a1,f6(a1)))+P3(f6(a1),a5)),
% 59.03/59.13 inference(scs_inference,[],[58,80,18,20])).
% 59.03/59.13 cnf(115,plain,
% 59.03/59.13 (~P2(f3(a1,f6(a1)),a1)+P3(f6(a1),a5)),
% 59.03/59.13 inference(scs_inference,[],[83,11])).
% 59.03/59.13 cnf(116,plain,
% 59.03/59.13 (P3(a5,a1)),
% 59.03/59.13 inference(scs_inference,[],[34,73,20])).
% 59.03/59.13 cnf(134,plain,
% 59.03/59.13 (P3(f6(a1),a5)),
% 59.03/59.13 inference(scs_inference,[],[1,115,17])).
% 59.03/59.13 cnf(151,plain,
% 59.03/59.13 (P3(f6(a1),a1)),
% 59.03/59.13 inference(scs_inference,[],[134,116,21])).
% 59.03/59.13 cnf(265,plain,
% 59.03/59.13 (P2(f8(a4,f6(a1)),f6(a1))),
% 59.03/59.13 inference(scs_inference,[],[1,8,14])).
% 59.03/59.13 cnf(266,plain,
% 59.03/59.13 (~P2(x2661,f8(a4,f6(a1)))+P2(x2661,f6(a1))),
% 59.03/59.13 inference(scs_inference,[],[265,18])).
% 59.03/59.13 cnf(270,plain,
% 59.03/59.13 (~P1(f8(a4,f6(a1)))+P2(f3(a1,f8(a4,f6(a1))),f6(a1))),
% 59.03/59.13 inference(scs_inference,[],[266,13])).
% 59.03/59.13 cnf(272,plain,
% 59.03/59.13 (~P1(f6(a1))+P2(f3(a1,f8(a4,f6(a1))),f6(a1))),
% 59.03/59.13 inference(scs_inference,[],[2,270,16])).
% 59.03/59.13 cnf(273,plain,
% 59.03/59.13 (P2(f6(a1),f3(a1,f8(a4,f6(a1))))+~P1(f6(a1))),
% 59.03/59.13 inference(scs_inference,[],[272,11])).
% 59.03/59.13 cnf(274,plain,
% 59.03/59.13 (P3(f3(a1,f8(a4,f6(a1))),a5)+~P1(f6(a1))),
% 59.03/59.13 inference(scs_inference,[],[134,273,20])).
% 59.03/59.13 cnf(275,plain,
% 59.03/59.13 (P3(f3(a1,f8(a4,f6(a1))),a5)),
% 59.03/59.13 inference(scs_inference,[],[1,274,8])).
% 59.03/59.13 cnf(306,plain,
% 59.03/59.13 (P3(f3(a1,f8(a4,f6(a1))),a1)),
% 59.03/59.13 inference(scs_inference,[],[275,116,21])).
% 59.03/59.13 cnf(382,plain,
% 59.03/59.13 (P2(f3(a1,f6(a5)),f6(a5))),
% 59.03/59.13 inference(scs_inference,[],[4,8,13])).
% 59.03/59.13 cnf(416,plain,
% 59.03/59.13 (P2(f3(a1,f6(a2)),f6(a2))),
% 59.03/59.13 inference(scs_inference,[],[3,8,13])).
% 59.03/59.13 cnf(444,plain,
% 59.03/59.13 (P2(f8(a4,f6(a2)),f6(a2))),
% 59.03/59.13 inference(scs_inference,[],[3,8,14])).
% 59.03/59.13 cnf(554,plain,
% 59.03/59.13 (P2(f3(a1,f8(a4,f6(a1))),f6(a1))),
% 59.03/59.13 inference(scs_inference,[],[1,8,272])).
% 59.03/59.13 cnf(640,plain,
% 59.03/59.13 (P2(f3(a1,f6(a4)),f6(a4))),
% 59.03/59.13 inference(scs_inference,[],[2,8,13])).
% 59.03/59.13 cnf(651,plain,
% 59.03/59.13 (~P2(x6511,f3(a1,f6(a4)))+P2(x6511,f6(a4))),
% 59.03/59.13 inference(scs_inference,[],[640,18])).
% 59.03/59.13 cnf(656,plain,
% 59.03/59.13 (~P1(f3(a1,f6(a4)))+P2(f8(a4,f3(a1,f6(a4))),f6(a4))),
% 59.03/59.13 inference(scs_inference,[],[651,14])).
% 59.03/59.13 cnf(664,plain,
% 59.03/59.13 (~P1(f6(a4))+P2(f8(a4,f3(a1,f6(a4))),f6(a4))),
% 59.03/59.13 inference(scs_inference,[],[1,656,15])).
% 59.03/59.13 cnf(665,plain,
% 59.03/59.13 (P2(f6(a4),f8(a4,f3(a1,f6(a4))))+~P1(f6(a4))),
% 59.03/59.13 inference(scs_inference,[],[664,11])).
% 59.03/59.13 cnf(852,plain,
% 59.03/59.13 (P2(f6(a4),f8(a4,f3(a1,f6(a4))))),
% 59.03/59.13 inference(scs_inference,[],[2,8,665])).
% 59.03/59.13 cnf(853,plain,
% 59.03/59.13 (~P3(f6(a4),x8531)+P3(f8(a4,f3(a1,f6(a4))),x8531)),
% 59.03/59.13 inference(scs_inference,[],[852,20])).
% 59.03/59.13 cnf(945,plain,
% 59.03/59.13 (P2(f3(a5,f6(a2)),f3(a1,f6(a2)))),
% 59.03/59.13 inference(scs_inference,[],[3,5,8,26])).
% 59.03/59.13 cnf(946,plain,
% 59.03/59.13 (P2(f3(a5,f6(a2)),f6(a2))),
% 59.03/59.13 inference(scs_inference,[],[416,945,18])).
% 59.03/59.13 cnf(965,plain,
% 59.03/59.13 (~P2(x9651,f3(a5,f6(a2)))+P2(x9651,f3(a1,f6(a2)))),
% 59.03/59.13 inference(scs_inference,[],[945,18])).
% 59.03/59.13 cnf(1186,plain,
% 59.03/59.13 (P2(f3(a5,f6(a4)),f3(a1,f6(a4)))),
% 59.03/59.13 inference(scs_inference,[],[2,5,8,26])).
% 59.03/59.13 cnf(1187,plain,
% 59.03/59.13 (P2(f3(a5,f6(a4)),f6(a4))),
% 59.03/59.13 inference(scs_inference,[],[640,1186,18])).
% 59.03/59.13 cnf(1189,plain,
% 59.03/59.13 (~P3(f3(a5,f6(a4)),x11891)+P3(f3(a1,f6(a4)),x11891)),
% 59.03/59.13 inference(scs_inference,[],[640,1186,18,20])).
% 59.03/59.13 cnf(1211,plain,
% 59.03/59.13 (~P3(f3(a5,f6(a4)),x12111)+P3(f8(a4,f3(a1,f6(a4))),x12111)),
% 59.03/59.13 inference(scs_inference,[],[1187,20,853])).
% 59.03/59.13 cnf(1476,plain,
% 59.03/59.13 (P2(f3(a5,f6(a5)),f3(a1,f6(a5)))),
% 59.03/59.13 inference(scs_inference,[],[4,5,8,26])).
% 59.03/59.13 cnf(1803,plain,
% 59.03/59.13 (P2(f3(f3(a5,f6(a2)),f6(a4)),f3(f3(a1,f6(a2)),f6(a4)))),
% 59.03/59.13 inference(scs_inference,[],[2,945,8,26])).
% 59.03/59.13 cnf(1843,plain,
% 59.03/59.13 (P2(f3(f3(a5,f6(a5)),f6(a2)),f3(f3(a1,f6(a5)),f6(a2)))),
% 59.03/59.13 inference(scs_inference,[],[3,1476,8,26])).
% 59.03/59.13 cnf(1910,plain,
% 59.03/59.13 (P3(f3(a5,f6(a4)),f3(a1,f6(a4)))),
% 59.03/59.13 inference(scs_inference,[],[2,116,8,28])).
% 59.03/59.13 cnf(1915,plain,
% 59.03/59.13 (~P3(x19151,f3(a5,f6(a4)))+P3(x19151,f3(a1,f6(a4)))),
% 59.03/59.13 inference(scs_inference,[],[1910,1189,19,21])).
% 59.03/59.13 cnf(1964,plain,
% 59.03/59.13 (P2(f3(f3(a1,f6(a5)),f6(a2)),f3(f6(a5),f6(a2)))),
% 59.03/59.13 inference(scs_inference,[],[3,382,8,26])).
% 59.03/59.13 cnf(1965,plain,
% 59.03/59.13 (~P2(x19651,f3(f3(a1,f6(a5)),f6(a2)))+P2(x19651,f3(f6(a5),f6(a2)))),
% 59.03/59.13 inference(scs_inference,[],[1964,18])).
% 59.03/59.13 cnf(1976,plain,
% 59.03/59.13 (~P3(f3(f3(a1,f6(a5)),f6(a2)),f3(a5,f6(a4)))+P3(f3(f6(a5),f6(a2)),f3(a1,f6(a4)))),
% 59.03/59.13 inference(scs_inference,[],[1964,20,1915])).
% 59.03/59.13 cnf(1985,plain,
% 59.03/59.13 (~P3(x19851,f3(a5,f6(a4)))+~P3(f3(f3(a1,f6(a5)),f6(a2)),x19851)+P3(f3(f6(a5),f6(a2)),f3(a1,f6(a4)))),
% 59.03/59.13 inference(scs_inference,[],[1976,21])).
% 59.03/59.13 cnf(2153,plain,
% 59.03/59.13 (P3(f3(f6(a1),f6(a4)),f3(a5,f6(a4)))),
% 59.03/59.13 inference(scs_inference,[],[2,134,8,28])).
% 59.03/59.13 cnf(2569,plain,
% 59.03/59.13 (P1(f3(f6(a1),f6(a1)))),
% 59.03/59.13 inference(scs_inference,[],[1,8,15])).
% 59.03/59.13 cnf(2572,plain,
% 59.03/59.13 (P1(f8(f6(a1),f6(a1)))),
% 59.03/59.13 inference(scs_inference,[],[1,8,16])).
% 59.03/59.13 cnf(2607,plain,
% 59.03/59.13 (P2(f6(a2),f3(a1,f6(a2)))),
% 59.03/59.13 inference(scs_inference,[],[946,11,965])).
% 59.03/59.13 cnf(2659,plain,
% 59.03/59.13 (P2(f3(a1,f6(a1)),a1)),
% 59.03/59.13 inference(scs_inference,[],[2569,1,8,13,14,17])).
% 59.03/59.13 cnf(2671,plain,
% 59.03/59.13 (P1(f7(a4))),
% 59.03/59.13 inference(scs_inference,[],[1803,1843,2569,1910,42,1,2,8,13,14,17,1211,1965,11,15,16,10])).
% 59.03/59.13 cnf(2677,plain,
% 59.03/59.13 (P3(a1,f8(a1,a1))),
% 59.03/59.13 inference(scs_inference,[],[1803,1843,2569,1910,34,42,1,2,8,13,14,17,1211,1965,11,15,16,10,25,22,23])).
% 59.03/59.13 cnf(2714,plain,
% 59.03/59.13 (P1(f8(f7(a4),f7(a4)))),
% 59.03/59.13 inference(scs_inference,[],[5,2671,2659,2572,14,17,13,8,11,26,27,16])).
% 59.03/59.13 cnf(2716,plain,
% 59.03/59.13 (P3(a1,f8(f8(a1,a1),f8(a1,a1)))),
% 59.03/59.13 inference(scs_inference,[],[5,2677,2671,2659,2572,14,17,13,8,11,26,27,16,23])).
% 59.03/59.13 cnf(2718,plain,
% 59.03/59.13 (P1(f3(f7(a4),f7(a4)))),
% 59.03/59.13 inference(scs_inference,[],[5,2677,2671,2659,2572,14,17,13,8,11,26,27,16,23,15])).
% 59.03/59.13 cnf(2724,plain,
% 59.03/59.13 (P3(f3(a1,f8(a4,f6(a1))),f8(a1,a1))),
% 59.03/59.13 inference(scs_inference,[],[5,2677,2671,2659,2607,2572,306,444,14,17,13,8,11,26,27,16,23,15,28,18,21])).
% 59.03/59.13 cnf(2734,plain,
% 59.03/59.13 (P2(a1,f6(a1))),
% 59.03/59.13 inference(scs_inference,[],[5,2677,2671,2659,2607,2572,306,444,3,14,17,13,8,11,26,27,16,23,15,28,18,21,20,29,30,31,81])).
% 59.03/59.13 cnf(2741,plain,
% 59.03/59.13 (P2(f3(a1,a1),a1)),
% 59.03/59.13 inference(scs_inference,[],[1,13])).
% 59.03/59.13 cnf(2745,plain,
% 59.03/59.13 (P2(f8(a4,a1),a1)),
% 59.03/59.13 inference(scs_inference,[],[1,4,13,17,14])).
% 59.03/59.13 cnf(2751,plain,
% 59.03/59.13 (P3(a1,f8(f8(a5,a5),f8(a5,a5)))),
% 59.03/59.13 inference(scs_inference,[],[2734,2718,74,1,4,13,17,14,8,11,23])).
% 59.03/59.13 cnf(2753,plain,
% 59.03/59.13 (P2(f3(a5,a1),f3(a1,a1))),
% 59.03/59.13 inference(scs_inference,[],[5,2734,2718,74,1,4,13,17,14,8,11,23,26])).
% 59.03/59.13 cnf(2755,plain,
% 59.03/59.13 (P1(f3(a1,a1))),
% 59.03/59.13 inference(scs_inference,[],[5,2734,2718,74,1,4,13,17,14,8,11,23,26,15])).
% 59.03/59.13 cnf(2757,plain,
% 59.03/59.13 (P1(f8(a1,a1))),
% 59.03/59.13 inference(scs_inference,[],[5,2734,2718,74,1,4,13,17,14,8,11,23,26,15,16])).
% 59.03/59.13 cnf(2765,plain,
% 59.03/59.13 (P3(f6(a1),f8(f8(a1,a1),f8(a1,a1)))),
% 59.03/59.13 inference(scs_inference,[],[5,2734,2718,2716,151,6,74,2671,1,4,13,17,14,8,11,23,26,15,16,24,28,18,21])).
% 59.03/59.13 cnf(2767,plain,
% 59.03/59.13 (P3(f6(a1),f8(a1,a1))),
% 59.03/59.13 inference(scs_inference,[],[5,2734,2718,2716,2724,151,6,554,74,2671,1,4,13,17,14,8,11,23,26,15,16,24,28,18,21,20])).
% 59.03/59.13 cnf(2796,plain,
% 59.03/59.13 (P1(f8(f8(a1,a1),f8(a1,a1)))),
% 59.03/59.13 inference(scs_inference,[],[5,2757,2753,2714,14,17,13,8,11,25,27,16])).
% 59.03/59.13 cnf(2806,plain,
% 59.03/59.13 (P2(f3(a5,a1),a1)),
% 59.03/59.13 inference(scs_inference,[],[5,2757,2753,2767,2741,2714,14,17,13,8,11,25,27,16,24,26,15,28,18])).
% 59.03/59.13 cnf(2808,plain,
% 59.03/59.13 (P3(f6(a1),f8(f8(a5,a5),f8(a5,a5)))),
% 59.03/59.13 inference(scs_inference,[],[5,2757,2753,2767,2741,2751,2714,151,14,17,13,8,11,25,27,16,24,26,15,28,18,21])).
% 59.03/59.13 cnf(2832,plain,
% 59.03/59.13 (P2(a1,f3(a5,a1))),
% 59.03/59.14 inference(scs_inference,[],[2806,2796,2755,13,14,8,17,11])).
% 59.03/59.14 cnf(2834,plain,
% 59.03/59.14 (P1(f3(f3(a1,a1),f3(a1,a1)))),
% 59.03/59.14 inference(scs_inference,[],[2806,2796,2755,13,14,8,17,11,15])).
% 59.03/59.14 cnf(2838,plain,
% 59.03/59.14 (P1(f8(f3(a1,a1),f3(a1,a1)))),
% 59.03/59.14 inference(scs_inference,[],[5,2806,2796,2755,13,14,8,17,11,15,26,16])).
% 59.03/59.14 cnf(2856,plain,
% 59.03/59.14 (P2(f3(a1,a2),a2)),
% 59.03/59.14 inference(scs_inference,[],[2838,3,8,17,13])).
% 59.03/59.14 cnf(2862,plain,
% 59.03/59.14 (P1(f3(a2,a2))),
% 59.03/59.14 inference(scs_inference,[],[2745,2838,3,8,17,13,14,11,15])).
% 59.03/59.14 cnf(2864,plain,
% 59.03/59.14 (P1(f8(a2,a2))),
% 59.03/59.14 inference(scs_inference,[],[2745,2838,3,8,17,13,14,11,15,16])).
% 59.03/59.14 cnf(2880,plain,
% 59.03/59.14 (P2(f3(a5,a2),f3(a1,a2))),
% 59.03/59.14 inference(scs_inference,[],[5,2832,2745,2838,2808,2751,6,2755,2153,116,3,8,17,13,14,11,15,16,28,18,21,20,1985,25,24,26])).
% 59.03/59.14 cnf(2908,plain,
% 59.03/59.14 ($false),
% 59.09/59.14 inference(scs_inference,[],[5,2862,2864,2880,2856,2765,2834,7,13,11,14,8,17,25,27,24,26,15,16,28,18]),
% 59.09/59.14 ['proof']).
% 59.09/59.14 % SZS output end Proof
% 59.09/59.14 % Total time :58.470000s
%------------------------------------------------------------------------------