TSTP Solution File: SYN415+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN415+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n011.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 : Fri Sep 1 01:45:40 EDT 2023
% Result : Theorem 81.90s 82.03s
% Output : CNFRefutation 81.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN415+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.36 % Computer : n011.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat Aug 26 20:50:39 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.20/0.63 start to proof:theBenchmark
% 81.90/82.02 %-------------------------------------------
% 81.90/82.02 % File :CSE---1.6
% 81.90/82.02 % Problem :theBenchmark
% 81.90/82.02 % Transform :cnf
% 81.90/82.02 % Format :tptp:raw
% 81.90/82.02 % Command :java -jar mcs_scs.jar %d %s
% 81.90/82.02
% 81.90/82.02 % Result :Theorem 81.340000s
% 81.90/82.02 % Output :CNFRefutation 81.340000s
% 81.90/82.02 %-------------------------------------------
% 81.90/82.03 %--------------------------------------------------------------------------
% 81.90/82.03 % File : SYN415+1 : TPTP v8.1.2. Released v2.0.0.
% 81.90/82.03 % Domain : Syntactic
% 81.90/82.03 % Problem : Kalish and Montague Problem 317
% 81.90/82.03 % Version : Especial.
% 81.90/82.03 % English :
% 81.90/82.03
% 81.90/82.03 % Refs : [KM64] Kalish & Montegue (1964), Logic: Techniques of Formal
% 81.90/82.03 % : [Hah94] Haehnle (1994), Email to G. Sutcliffe
% 81.90/82.03 % Source : [Hah94]
% 81.90/82.03 % Names : kalish317 [Hah94]
% 81.90/82.03
% 81.90/82.03 % Status : Theorem
% 81.90/82.03 % Rating : 0.11 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.04 v6.2.0, 0.16 v6.1.0, 0.07 v6.0.0, 0.04 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.0, 0.08 v3.7.0, 0.00 v3.2.0, 0.22 v3.1.0, 0.33 v2.6.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0
% 81.90/82.03 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 81.90/82.03 % Number of atoms : 7 ( 2 equ)
% 81.90/82.03 % Maximal formula atoms : 7 ( 7 avg)
% 81.90/82.03 % Number of connectives : 6 ( 0 ~; 0 |; 3 &)
% 81.90/82.03 % ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% 81.90/82.03 % Maximal formula depth : 7 ( 7 avg)
% 81.90/82.03 % Maximal term depth : 1 ( 1 avg)
% 81.90/82.03 % Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% 81.90/82.03 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 81.90/82.03 % Number of variables : 5 ( 3 !; 2 ?)
% 81.90/82.03 % SPC : FOF_THM_RFO_SEQ
% 81.90/82.03
% 81.90/82.03 % Comments :
% 81.90/82.03 %--------------------------------------------------------------------------
% 81.90/82.03 %----Problem axioms
% 81.90/82.03 fof(kalish317,conjecture,
% 81.90/82.03 ( ( ? [X] : f(X)
% 81.90/82.03 & ! [Y,Z] :
% 81.90/82.03 ( ( f(Y)
% 81.90/82.03 & f(Z) )
% 81.90/82.03 => Y = Z ) )
% 81.90/82.03 <=> ? [U] :
% 81.90/82.03 ( f(U)
% 81.90/82.03 & ! [V] :
% 81.90/82.03 ( f(V)
% 81.90/82.03 => U = V ) ) ) ).
% 81.90/82.03
% 81.90/82.03 %--------------------------------------------------------------------------
% 81.90/82.03 %-------------------------------------------
% 81.90/82.03 % Proof found
% 81.90/82.03 % SZS status Theorem for theBenchmark
% 81.90/82.03 % SZS output start Proof
% 81.90/82.03 %ClaNum:15(EqnAxiom:5)
% 81.90/82.03 %VarNum:33(SingletonVarNum:18)
% 81.90/82.03 %MaxLitNum:5
% 81.90/82.03 %MaxfuncDepth:1
% 81.90/82.03 %SharedTerms:9
% 81.90/82.03 %goalClause: 6 7 8 9 10 11 12 13 14 15
% 81.90/82.03 [6]P1(a1)+P1(a5)
% 81.90/82.03 [7]~P1(x71)+E(a5,x71)+P1(a1)
% 81.90/82.03 [8]~P1(x82)+~P1(x81)+E(x81,x82)+P1(a5)
% 81.90/82.03 [9]~P1(x91)+~P1(x92)+~E(f2(x91),x91)+~E(a3,a4)
% 81.90/82.03 [11]~P1(x111)+~P1(x112)+~E(f2(x111),x111)+P1(a4)
% 81.90/82.03 [12]~P1(x121)+~P1(x122)+~E(f2(x121),x121)+P1(a3)
% 81.90/82.03 [13]~P1(x131)+~P1(x132)+~E(a3,a4)+P1(f2(x131))
% 81.90/82.03 [14]~P1(x141)+~P1(x142)+P1(a4)+P1(f2(x141))
% 81.90/82.03 [15]~P1(x151)+~P1(x152)+P1(a3)+P1(f2(x151))
% 81.90/82.03 [10]~P1(x102)+~P1(x101)+~P1(x103)+E(x101,x102)+E(a5,x103)
% 81.90/82.03 %EqnAxiom
% 81.90/82.03 [1]E(x11,x11)
% 81.90/82.03 [2]E(x22,x21)+~E(x21,x22)
% 81.90/82.03 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 81.90/82.03 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 81.90/82.03 [5]~P1(x51)+P1(x52)+~E(x51,x52)
% 81.90/82.03
% 81.90/82.03 %-------------------------------------------
% 81.90/82.04 cnf(16,plain,
% 81.90/82.04 (~E(a1,x161)+P1(x161)+P1(a5)),
% 81.90/82.04 inference(scs_inference,[],[6,5])).
% 81.90/82.04 cnf(18,plain,
% 81.90/82.04 (E(f2(x181),f2(x182))+~E(x182,x181)),
% 81.90/82.04 inference(scs_inference,[],[2,4])).
% 81.90/82.04 cnf(22,plain,
% 81.90/82.04 (~E(x221,x222)+E(x223,x221)+~E(x223,x222)),
% 81.90/82.04 inference(scs_inference,[],[3,2])).
% 81.90/82.04 cnf(23,plain,
% 81.90/82.04 (~E(x231,x232)+~E(x233,x231)+E(x232,x233)),
% 81.90/82.04 inference(scs_inference,[],[22,2])).
% 81.90/82.04 cnf(27,plain,
% 81.90/82.04 (~E(f2(a5),a5)+~E(a3,a4)+P1(a1)),
% 81.90/82.04 inference(scs_inference,[],[6,9])).
% 81.90/82.04 cnf(28,plain,
% 81.90/82.04 (~E(a4,a3)+~E(f2(a5),a5)+P1(a1)),
% 81.90/82.04 inference(scs_inference,[],[27,2])).
% 81.90/82.04 cnf(29,plain,
% 81.90/82.04 (~E(a5,f2(a5))+~E(a4,a3)+P1(a1)),
% 81.90/82.04 inference(scs_inference,[],[28,2])).
% 81.90/82.04 cnf(31,plain,
% 81.90/82.04 (~E(f2(a5),a5)+P1(a1)+P1(a4)),
% 81.90/82.04 inference(scs_inference,[],[6,11])).
% 81.90/82.04 cnf(32,plain,
% 81.90/82.04 (~E(a5,f2(a5))+P1(a1)+P1(a4)),
% 81.90/82.04 inference(scs_inference,[],[31,2])).
% 81.90/82.04 cnf(33,plain,
% 81.90/82.04 (~P1(f2(a5))+P1(a4)+P1(a1)),
% 81.90/82.04 inference(scs_inference,[],[32,7])).
% 81.90/82.04 cnf(42,plain,
% 81.90/82.04 (~E(f2(a5),a5)+P1(a1)+P1(a3)),
% 81.90/82.04 inference(scs_inference,[],[6,12])).
% 81.90/82.04 cnf(45,plain,
% 81.90/82.04 (~E(a3,a4)+P1(a1)+P1(f2(a5))),
% 81.90/82.04 inference(scs_inference,[],[6,13])).
% 81.90/82.04 cnf(54,plain,
% 81.90/82.04 (P1(a1)+P1(a4)+P1(f2(a5))),
% 81.90/82.04 inference(scs_inference,[],[6,14])).
% 81.90/82.04 cnf(56,plain,
% 81.90/82.04 (~E(a5,x561)+P1(x561)+P1(a1)),
% 81.90/82.04 inference(scs_inference,[],[6,5])).
% 81.90/82.04 cnf(65,plain,
% 81.90/82.04 (P1(a1)+P1(a3)+P1(f2(a5))),
% 81.90/82.04 inference(scs_inference,[],[6,15])).
% 81.90/82.04 cnf(67,plain,
% 81.90/82.04 (~E(x671,x672)+~E(x671,x673)+E(x672,x673)),
% 81.90/82.04 inference(scs_inference,[],[2,3])).
% 81.90/82.04 cnf(69,plain,
% 81.90/82.04 (E(x691,a5)+~P1(x691)+P1(a1)),
% 81.90/82.04 inference(scs_inference,[],[2,7])).
% 81.90/82.04 cnf(89,plain,
% 81.90/82.04 (~E(x891,a5)+P1(x891)+P1(a1)),
% 81.90/82.04 inference(scs_inference,[],[2,56])).
% 81.90/82.04 cnf(95,plain,
% 81.90/82.04 (E(x951,x952)+E(x953,a5)+~P1(x952)+~P1(x951)+~P1(x953)),
% 81.90/82.04 inference(scs_inference,[],[2,10])).
% 81.90/82.04 cnf(149,plain,
% 81.90/82.04 (~E(x1491,f2(x1491))+~P1(x1491)+~P1(x1492)+~E(a3,a4)),
% 81.90/82.04 inference(scs_inference,[],[2,9])).
% 81.90/82.04 cnf(150,plain,
% 81.90/82.04 (~E(a4,a3)+~P1(x1501)+~E(x1501,f2(x1501))+~P1(x1502)),
% 81.90/82.04 inference(scs_inference,[],[2,149])).
% 81.90/82.04 cnf(151,plain,
% 81.90/82.04 (~E(f2(x1511),x1511)+~E(a4,a3)+~P1(x1511)+~P1(x1512)),
% 81.90/82.04 inference(scs_inference,[],[2,150])).
% 81.90/82.04 cnf(153,plain,
% 81.90/82.04 (~E(x1531,f2(x1531))+~P1(x1531)+~P1(x1532)+P1(a3)),
% 81.90/82.04 inference(scs_inference,[],[2,12])).
% 81.90/82.04 cnf(154,plain,
% 81.90/82.04 (~E(a4,a3)+~P1(x1541)+~P1(x1542)+P1(f2(x1541))),
% 81.90/82.04 inference(scs_inference,[],[2,13])).
% 81.90/82.04 cnf(226,plain,
% 81.90/82.04 (~P1(x2261)+~P1(x2262)+~P1(x2263)+E(f2(x2262),f2(x2261))+E(a5,x2263)),
% 81.90/82.04 inference(scs_inference,[],[4,10])).
% 81.90/82.04 cnf(227,plain,
% 81.90/82.04 (E(f2(x2271),f2(x2272))+~P1(x2272)+~P1(x2271)+~P1(x2273)+E(f2(a5),f2(x2273))),
% 81.90/82.04 inference(scs_inference,[],[4,226])).
% 81.90/82.04 cnf(251,plain,
% 81.90/82.04 (~E(x2511,f2(x2511))+~P1(f2(x2511))+~P1(x2512)+P1(a3)),
% 81.90/82.04 inference(scs_inference,[],[18,12])).
% 81.90/82.04 cnf(322,plain,
% 81.90/82.04 (~E(x3221,x3222)+~E(f2(x3222),x3222)+~P1(x3221)+~E(a4,a3)+~P1(x3223)),
% 81.90/82.04 inference(scs_inference,[],[5,151])).
% 81.90/82.04 cnf(396,plain,
% 81.90/82.04 (~E(x3961,x3962)+~P1(x3961)+~E(a4,a3)+~E(x3962,f2(x3962))+~P1(x3963)),
% 81.90/82.04 inference(scs_inference,[],[5,150])).
% 81.90/82.04 cnf(446,plain,
% 81.90/82.04 (~E(x4461,x4462)+~P1(x4461)+~P1(x4463)+P1(a3)+P1(f2(x4462))),
% 81.90/82.04 inference(scs_inference,[],[5,15])).
% 81.90/82.04 cnf(463,plain,
% 81.90/82.04 (~E(x4631,x4632)+~P1(x4631)+~P1(x4633)+~E(f2(x4632),x4632)+P1(a3)),
% 81.90/82.04 inference(scs_inference,[],[5,12])).
% 81.90/82.04 cnf(482,plain,
% 81.90/82.04 (~E(x4821,x4822)+~P1(x4823)+~P1(x4824)+~P1(x4821)+E(x4823,x4822)+E(x4824,a5)),
% 81.90/82.04 inference(scs_inference,[],[5,95])).
% 81.90/82.04 cnf(506,plain,
% 81.90/82.04 (~E(x5061,x5062)+~P1(x5063)+~P1(x5061)+E(f2(x5062),f2(x5063))+~P1(x5064)+E(f2(a5),f2(x5064))),
% 81.90/82.04 inference(scs_inference,[],[5,227])).
% 81.90/82.04 cnf(512,plain,
% 81.90/82.04 (~E(x5121,x5122)+E(x5122,x5123)+~P1(x5121)+~P1(x5123)+~P1(x5124)+E(a5,x5124)),
% 81.90/82.04 inference(scs_inference,[],[5,10])).
% 81.90/82.04 cnf(538,plain,
% 81.90/82.04 (~E(f2(a5),a5)+E(a5,a3)+P1(a1)),
% 81.90/82.04 inference(scs_inference,[],[7,42])).
% 81.90/82.04 cnf(556,plain,
% 81.90/82.04 (E(a5,a3)+P1(f2(a5))+P1(a1)),
% 81.90/82.04 inference(scs_inference,[],[7,65])).
% 81.90/82.04 cnf(557,plain,
% 81.90/82.04 (E(a3,x5571)+~E(x5571,a5)+P1(f2(a5))+P1(a1)),
% 81.90/82.04 inference(scs_inference,[],[556,23])).
% 81.90/82.04 cnf(558,plain,
% 81.90/82.04 (E(a3,a5)+P1(f2(a5))+P1(a1)),
% 81.90/82.04 inference(equality_inference,[],[557])).
% 81.90/82.04 cnf(605,plain,
% 81.90/82.04 (~E(a3,a4)+~P1(x6051)+~P1(x6052)+E(a5,f2(x6051))+P1(a1)),
% 81.90/82.04 inference(scs_inference,[],[7,13])).
% 81.90/82.04 cnf(639,plain,
% 81.90/82.04 (~E(a5,f2(a5))+~E(a3,a4)+~E(a1,a5)),
% 81.90/82.04 inference(scs_inference,[],[16,149])).
% 81.90/82.04 cnf(640,plain,
% 81.90/82.04 (~E(a3,a4)+~E(a1,a5)+~P1(x6401)+~E(x6401,a5)+~P1(f2(a5))),
% 81.90/82.04 inference(scs_inference,[],[639,512])).
% 81.90/82.04 cnf(677,plain,
% 81.90/82.04 (P1(a1)+P1(a4)),
% 81.90/82.04 inference(scs_inference,[],[33,54])).
% 81.90/82.04 cnf(689,plain,
% 81.90/82.04 (P1(f2(a1))+P1(a4)),
% 81.90/82.04 inference(scs_inference,[],[677,14])).
% 81.90/82.04 cnf(698,plain,
% 81.90/82.04 (~E(f2(a1),a1)+P1(a4)),
% 81.90/82.04 inference(scs_inference,[],[677,11])).
% 81.90/82.04 cnf(726,plain,
% 81.90/82.04 (~E(a3,a4)+E(a5,f2(a4))+P1(a1)),
% 81.90/82.04 inference(scs_inference,[],[677,605])).
% 81.90/82.05 cnf(815,plain,
% 81.90/82.05 (~E(f2(a1),x8151)+~E(a1,x8151)+P1(a4)),
% 81.90/82.05 inference(scs_inference,[],[698,22])).
% 81.90/82.05 cnf(816,plain,
% 81.90/82.05 (~P1(x8161)+~E(x8161,a5)+~P1(f2(a1))+~E(a1,a5)+P1(a4)),
% 81.90/82.05 inference(scs_inference,[],[815,482])).
% 81.90/82.05 cnf(832,plain,
% 81.90/82.05 (~P1(x8321)+~P1(f2(a1))+~P1(a1)+E(x8321,a5)+P1(a4)),
% 81.90/82.05 inference(scs_inference,[],[698,95])).
% 81.90/82.05 cnf(1036,plain,
% 81.90/82.05 (E(a4,a5)+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[69,677])).
% 81.90/82.05 cnf(1042,plain,
% 81.90/82.05 (E(f2(a4),f2(a5))+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1036,4])).
% 81.90/82.05 cnf(1095,plain,
% 81.90/82.05 (~E(a5,x10951)+E(a4,x10951)+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1036,3])).
% 81.90/82.05 cnf(1097,plain,
% 81.90/82.05 (E(x10971,a5)+~E(x10971,a4)+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1036,3])).
% 81.90/82.05 cnf(1150,plain,
% 81.90/82.05 (E(f2(a5),x11501)+~E(x11501,f2(a4))+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1042,23])).
% 81.90/82.05 cnf(1178,plain,
% 81.90/82.05 (P1(f2(a5))+~E(a5,f2(a4))+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[89,1150])).
% 81.90/82.05 cnf(1179,plain,
% 81.90/82.05 (E(a5,f2(a5))+~E(a5,f2(a4))+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1178,7])).
% 81.90/82.05 cnf(1180,plain,
% 81.90/82.05 (~E(a4,a3)+~E(a5,f2(a4))+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1179,29])).
% 81.90/82.05 cnf(1181,plain,
% 81.90/82.05 (~E(a5,a3)+~E(a5,f2(a4))+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1180,1095])).
% 81.90/82.05 cnf(1182,plain,
% 81.90/82.05 (~E(f2(a5),a5)+~E(a5,f2(a4))+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1181,538])).
% 81.90/82.05 cnf(1183,plain,
% 81.90/82.05 (~P1(f2(a5))+~E(a5,f2(a4))+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1182,69])).
% 81.90/82.05 cnf(1184,plain,
% 81.90/82.05 (~E(a3,a4)+~E(a5,f2(a4))+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1183,45])).
% 81.90/82.05 cnf(1185,plain,
% 81.90/82.05 (~E(a3,a4)+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1184,726])).
% 81.90/82.05 cnf(1186,plain,
% 81.90/82.05 (~E(a4,a3)+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1185,2])).
% 81.90/82.05 cnf(1187,plain,
% 81.90/82.05 (~E(x11871,a3)+~E(a4,x11871)+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1186,3])).
% 81.90/82.05 cnf(1188,plain,
% 81.90/82.05 (~E(a5,a3)+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1187,1097])).
% 81.90/82.05 cnf(1221,plain,
% 81.90/82.05 (~E(a3,a4)+~E(a1,a5)+~P1(f2(a5))),
% 81.90/82.05 inference(scs_inference,[],[1185,640])).
% 81.90/82.05 cnf(1222,plain,
% 81.90/82.05 (~E(a1,a5)+~E(a4,a3)+~P1(f2(a5))),
% 81.90/82.05 inference(scs_inference,[],[1221,2])).
% 81.90/82.05 cnf(1288,plain,
% 81.90/82.05 (~E(x12881,a3)+~E(a5,x12881)+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1188,3])).
% 81.90/82.05 cnf(1289,plain,
% 81.90/82.05 (~E(f2(a5),a5)+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1288,538])).
% 81.90/82.05 cnf(1290,plain,
% 81.90/82.05 (~E(a5,f2(a5))+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1289,2])).
% 81.90/82.05 cnf(1291,plain,
% 81.90/82.05 (~P1(f2(a5))+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1290,7])).
% 81.90/82.05 cnf(1296,plain,
% 81.90/82.05 (~E(x12961,a5)+~E(a3,x12961)+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1188,23])).
% 81.90/82.05 cnf(1297,plain,
% 81.90/82.05 (P1(f2(a5))+P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1296,558])).
% 81.90/82.05 cnf(1298,plain,
% 81.90/82.05 (P1(a1)),
% 81.90/82.05 inference(scs_inference,[],[1297,1291])).
% 81.90/82.05 cnf(1302,plain,
% 81.90/82.05 (~E(a3,a4)+~P1(x13021)+P1(f2(x13021))),
% 81.90/82.05 inference(scs_inference,[],[1298,13])).
% 81.90/82.05 cnf(1304,plain,
% 81.90/82.05 (~P1(x13041)+P1(a3)+P1(f2(x13041))),
% 81.90/82.05 inference(scs_inference,[],[1298,15])).
% 81.90/82.05 cnf(1309,plain,
% 81.90/82.05 (~P1(x13091)+~E(x13091,f2(x13091))+P1(a3)),
% 81.90/82.05 inference(scs_inference,[],[1298,153])).
% 81.90/82.05 cnf(1310,plain,
% 81.90/82.05 (~E(a4,a3)+P1(f2(x13101))+~P1(x13101)),
% 81.90/82.05 inference(scs_inference,[],[1298,154])).
% 81.90/82.05 cnf(1316,plain,
% 81.90/82.05 (~P1(f2(x13161))+~E(x13161,f2(x13161))+P1(a3)),
% 81.90/82.05 inference(scs_inference,[],[1298,251])).
% 81.90/82.05 cnf(1317,plain,
% 81.90/82.05 (~E(f2(x13171),x13171)+~E(x13172,x13171)+~E(a4,a3)+~P1(x13172)),
% 81.90/82.05 inference(scs_inference,[],[1298,322])).
% 81.90/82.05 cnf(1328,plain,
% 81.90/82.05 (~E(x13281,f2(x13281))+~E(x13282,x13281)+~E(a4,a3)+~P1(x13282)),
% 81.90/82.05 inference(scs_inference,[],[1298,396])).
% 81.90/82.05 cnf(1333,plain,
% 81.90/82.05 (P1(f2(x13331))+~P1(x13332)+~E(x13332,x13331)+P1(a3)),
% 81.90/82.05 inference(scs_inference,[],[1298,446])).
% 81.90/82.05 cnf(1336,plain,
% 81.90/82.05 (~E(f2(x13361),x13361)+~P1(x13362)+~E(x13362,x13361)+P1(a3)),
% 81.90/82.05 inference(scs_inference,[],[1298,463])).
% 81.90/82.05 cnf(1344,plain,
% 81.90/82.05 (~P1(x13441)+~P1(f2(a1))+E(x13441,a5)+P1(a4)),
% 81.90/82.05 inference(scs_inference,[],[1298,832])).
% 81.90/82.05 cnf(1394,plain,
% 81.90/82.05 (~P1(f2(a1))+E(a1,a5)+P1(a4)),
% 81.90/82.05 inference(scs_inference,[],[1298,1344])).
% 81.90/82.05 cnf(1407,plain,
% 81.90/82.05 (~E(a1,x14071)+P1(f2(x14071))+P1(a3)),
% 81.90/82.05 inference(scs_inference,[],[1298,1333])).
% 81.90/82.05 cnf(1455,plain,
% 81.90/82.05 (~P1(f2(a1))+~E(a4,a3)+E(a1,a5)),
% 81.90/82.05 inference(scs_inference,[],[1298,1328,95])).
% 81.90/82.05 cnf(1519,plain,
% 81.90/82.05 (~P1(f2(a1))+~E(a4,a3)+P1(a5)),
% 81.90/82.05 inference(scs_inference,[],[1298,1317,8])).
% 81.90/82.05 cnf(1543,plain,
% 81.90/82.05 (~P1(a5)+~E(a1,a5)+~E(a4,a3)),
% 81.90/82.05 inference(scs_inference,[],[1310,1222])).
% 81.90/82.05 cnf(1591,plain,
% 81.90/82.05 (~P1(f2(a1))+P1(a4)),
% 81.90/82.05 inference(scs_inference,[],[1298,1394,816])).
% 81.90/82.05 cnf(1607,plain,
% 81.90/82.05 (P1(a4)),
% 81.90/82.05 inference(scs_inference,[],[1591,689])).
% 81.90/82.05 cnf(1613,plain,
% 81.90/82.05 (P1(f2(a4))+P1(a3)),
% 81.90/82.05 inference(scs_inference,[],[1607,1302,1304])).
% 81.90/82.05 cnf(1625,plain,
% 81.90/82.05 (~E(a4,f2(a4))+P1(a3)),
% 81.90/82.05 inference(scs_inference,[],[1607,1309])).
% 81.90/82.05 cnf(1693,plain,
% 81.90/82.05 (~P1(f2(a4))+P1(a3)+P1(a5)),
% 81.90/82.05 inference(scs_inference,[],[1607,1625,8])).
% 81.90/82.05 cnf(1805,plain,
% 81.90/82.05 (~E(a1,a4)+P1(a5)+P1(a3)),
% 81.90/82.05 inference(scs_inference,[],[1693,1407])).
% 81.90/82.05 cnf(1821,plain,
% 81.90/82.05 (P1(a3)+P1(a5)),
% 81.90/82.05 inference(scs_inference,[],[1607,1298,1805,8])).
% 81.90/82.05 cnf(1854,plain,
% 81.90/82.05 (~P1(a3)+~P1(f2(a1))+P1(a5)),
% 81.90/82.05 inference(scs_inference,[],[1607,1519,8])).
% 81.90/82.05 cnf(1870,plain,
% 81.90/82.05 (~E(a3,a4)+P1(a5)+~P1(a3)),
% 81.90/82.05 inference(scs_inference,[],[1298,1854,1302])).
% 81.90/82.05 cnf(1886,plain,
% 81.90/82.05 (~P1(a3)+P1(a5)),
% 81.90/82.05 inference(scs_inference,[],[1607,1870,8])).
% 81.90/82.05 cnf(2001,plain,
% 81.90/82.05 (~E(a4,x20011)+~E(f2(x20011),x20011)+P1(a3)),
% 81.90/82.05 inference(scs_inference,[],[1607,1336])).
% 81.90/82.05 cnf(2078,plain,
% 81.90/82.05 (~E(a4,a3)+~P1(f2(a1))+~P1(a5)),
% 81.90/82.05 inference(scs_inference,[],[1543,1455])).
% 81.90/82.05 cnf(2109,plain,
% 81.90/82.05 (~E(a3,a4)+~P1(f2(a1))+~P1(a5)),
% 81.90/82.05 inference(scs_inference,[],[2078,2])).
% 81.90/82.05 cnf(2125,plain,
% 81.90/82.05 (~E(a3,a4)+~P1(a5)),
% 81.90/82.05 inference(scs_inference,[],[1298,2109,1302])).
% 81.90/82.05 cnf(2141,plain,
% 81.90/82.05 (~E(a4,a3)+~P1(a5)),
% 81.90/82.05 inference(scs_inference,[],[2125,2])).
% 81.90/82.05 cnf(2190,plain,
% 81.90/82.05 (~P1(f2(a4))+E(a5,a4)+P1(a3)),
% 81.90/82.05 inference(scs_inference,[],[1607,1316,10])).
% 81.90/82.05 cnf(2206,plain,
% 81.90/82.05 (E(a5,a4)+P1(a3)),
% 81.90/82.05 inference(scs_inference,[],[2190,1613])).
% 81.90/82.05 cnf(2379,plain,
% 81.90/82.05 (~E(a4,a5)+~P1(f2(a5))+P1(a3)),
% 81.90/82.05 inference(scs_inference,[],[1607,2001,482])).
% 81.90/82.05 cnf(4479,plain,
% 81.90/82.05 (P1(a5)),
% 81.90/82.05 inference(scs_inference,[],[1821,1886])).
% 81.90/82.05 cnf(4482,plain,
% 81.90/82.05 (~E(a3,a4)),
% 81.90/82.05 inference(scs_inference,[],[4479,2125])).
% 81.90/82.05 cnf(4483,plain,
% 81.90/82.05 (~E(a4,a3)),
% 81.90/82.05 inference(scs_inference,[],[4479,2141])).
% 81.90/82.05 cnf(4500,plain,
% 81.90/82.05 (~E(x45001,a3)+~E(x45001,a4)),
% 81.90/82.05 inference(scs_inference,[],[4482,67])).
% 81.90/82.05 cnf(4506,plain,
% 81.90/82.05 (~P1(a3)+~E(a5,a3)),
% 81.90/82.05 inference(scs_inference,[],[1607,4483,10,4500])).
% 81.90/82.05 cnf(4527,plain,
% 81.90/82.05 (~E(a5,a3)),
% 81.90/82.05 inference(scs_inference,[],[1607,4482,4479,5,10,482,506,2,4506])).
% 81.90/82.05 cnf(4532,plain,
% 81.90/82.05 (~P1(a3)),
% 81.90/82.05 inference(scs_inference,[],[4479,4527,2,10])).
% 81.90/82.05 cnf(4534,plain,
% 81.90/82.05 (E(a5,a4)),
% 81.90/82.05 inference(scs_inference,[],[4479,4527,2,10,2206])).
% 81.90/82.05 cnf(4569,plain,
% 81.90/82.05 (P1(f2(x45691))+~P1(x45691)),
% 81.90/82.05 inference(scs_inference,[],[4532,1304])).
% 81.90/82.05 cnf(4570,plain,
% 81.90/82.05 (~E(x45701,f2(x45701))+~P1(x45701)),
% 81.90/82.05 inference(scs_inference,[],[4532,1309])).
% 81.90/82.05 cnf(4597,plain,
% 81.90/82.05 (~E(a4,a5)+~P1(f2(a5))),
% 81.90/82.05 inference(scs_inference,[],[4532,2379])).
% 81.90/82.05 cnf(4622,plain,
% 81.90/82.05 ($false),
% 81.90/82.05 inference(scs_inference,[],[4534,4479,2,4,4569,4570,4597]),
% 81.90/82.05 ['proof']).
% 81.90/82.05 % SZS output end Proof
% 81.90/82.05 % Total time :81.340000s
%------------------------------------------------------------------------------