TSTP Solution File: SYN013-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n017.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 01:43:42 EDT 2023
% Result : Unsatisfiable 24.90s 25.02s
% Output : CNFRefutation 24.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 17:37:56 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.57 start to proof:theBenchmark
% 24.90/25.01 %-------------------------------------------
% 24.90/25.01 % File :CSE---1.6
% 24.90/25.01 % Problem :theBenchmark
% 24.90/25.01 % Transform :cnf
% 24.90/25.01 % Format :tptp:raw
% 24.90/25.01 % Command :java -jar mcs_scs.jar %d %s
% 24.90/25.01
% 24.90/25.01 % Result :Theorem 24.390000s
% 24.90/25.01 % Output :CNFRefutation 24.390000s
% 24.90/25.01 %-------------------------------------------
% 24.90/25.02 %--------------------------------------------------------------------------
% 24.90/25.02 % File : SYN013-1 : TPTP v8.1.2. Released v1.0.0.
% 24.90/25.02 % Domain : Syntactic
% 24.90/25.02 % Problem : A problem in quantification theory
% 24.90/25.02 % Version : Especial.
% 24.90/25.02 % English :
% 24.90/25.02
% 24.90/25.02 % Refs : [Wan65] Wang (1965), Formalization and Automatic Theorem-Provi
% 24.90/25.02 % : [Wos65] Wos (1965), Unpublished Note
% 24.90/25.02 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 24.90/25.02 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 24.90/25.02 % Source : [MOW76]
% 24.90/25.02 % Names : ExQ1 [Wan65]
% 24.90/25.02 % : EXQ1 [MOW76]
% 24.90/25.02 % : wos31 [WM76]
% 24.90/25.02 % : exq1.ver1.in [ANL]
% 24.90/25.02 % : exq1.ver2.in [ANL]
% 24.90/25.02 % : wang1.in [OTTER]
% 24.90/25.02
% 24.90/25.02 % Status : Unsatisfiable
% 24.90/25.02 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.20 v5.3.0, 0.17 v5.2.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.00 v3.4.0, 0.08 v3.3.0, 0.21 v3.2.0, 0.31 v3.1.0, 0.18 v2.7.0, 0.17 v2.6.0, 0.20 v2.5.0, 0.42 v2.4.0, 0.22 v2.3.0, 0.33 v2.2.0, 0.44 v2.1.0, 0.00 v2.0.0
% 24.90/25.02 % Syntax : Number of clauses : 16 ( 3 unt; 11 nHn; 14 RR)
% 24.90/25.02 % Number of literals : 49 ( 28 equ; 19 neg)
% 24.90/25.02 % Maximal clause size : 6 ( 3 avg)
% 24.90/25.02 % Maximal term depth : 2 ( 1 avg)
% 24.90/25.02 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 24.90/25.02 % Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% 24.90/25.02 % Number of variables : 15 ( 0 sgn)
% 24.90/25.02 % SPC : CNF_UNS_RFO_SEQ_NHN
% 24.90/25.02
% 24.90/25.02 % Comments :
% 24.90/25.02 %--------------------------------------------------------------------------
% 24.90/25.02 cnf(c_1,negated_conjecture,
% 24.90/25.02 m != n ).
% 24.90/25.02
% 24.90/25.02 cnf(c_2,negated_conjecture,
% 24.90/25.02 n != k ).
% 24.90/25.02
% 24.90/25.02 cnf(c_3,negated_conjecture,
% 24.90/25.02 k != m ).
% 24.90/25.02
% 24.90/25.02 cnf(c_4,negated_conjecture,
% 24.90/25.02 ( Y = m
% 24.90/25.02 | ~ element(Y,m)
% 24.90/25.02 | f(Y) != m ) ).
% 24.90/25.02
% 24.90/25.02 cnf(c_5,negated_conjecture,
% 24.90/25.02 ( Y = m
% 24.90/25.02 | ~ element(Y,m)
% 24.90/25.02 | f(Y) != Y ) ).
% 24.90/25.02
% 24.90/25.02 cnf(c_6,negated_conjecture,
% 24.90/25.02 ( Y = m
% 24.90/25.02 | ~ element(Y,m)
% 24.90/25.02 | element(Y,f(Y)) ) ).
% 24.90/25.02
% 24.90/25.02 cnf(c_7,negated_conjecture,
% 24.90/25.02 ( Y = m
% 24.90/25.02 | ~ element(Y,m)
% 24.90/25.02 | element(f(Y),Y) ) ).
% 24.90/25.02
% 24.90/25.02 cnf(c_8,negated_conjecture,
% 24.90/25.02 ( Y = m
% 24.90/25.02 | element(Y,m)
% 24.90/25.02 | V = m
% 24.90/25.02 | V = Y
% 24.90/25.02 | ~ element(Y,V)
% 24.90/25.02 | ~ element(V,Y) ) ).
% 24.90/25.02
% 24.90/25.02 cnf(c_9,negated_conjecture,
% 24.90/25.02 ( Y = n
% 24.90/25.02 | element(Y,n)
% 24.90/25.02 | g(Y) != n ) ).
% 24.90/25.02
% 24.90/25.02 cnf(c_10,negated_conjecture,
% 24.90/25.02 ( Y = n
% 24.90/25.02 | element(Y,n)
% 24.90/25.02 | g(Y) != Y ) ).
% 24.90/25.02
% 24.90/25.02 cnf(c_11,negated_conjecture,
% 24.90/25.02 ( Y = n
% 24.90/25.02 | element(Y,n)
% 24.90/25.02 | element(Y,g(Y)) ) ).
% 24.90/25.02
% 24.90/25.02 cnf(c_12,negated_conjecture,
% 24.90/25.02 ( Y = n
% 24.90/25.02 | element(Y,n)
% 24.90/25.02 | element(g(Y),Y) ) ).
% 24.90/25.02
% 24.90/25.02 cnf(c_13,negated_conjecture,
% 24.90/25.02 ( Y = n
% 24.90/25.02 | ~ element(Y,n)
% 24.90/25.02 | V = n
% 24.90/25.02 | V = Y
% 24.90/25.02 | ~ element(Y,V)
% 24.90/25.02 | ~ element(V,Y) ) ).
% 24.90/25.02
% 24.90/25.02 cnf(c_14,negated_conjecture,
% 24.90/25.02 ( Y = k
% 24.90/25.02 | Y != m
% 24.90/25.02 | element(Y,k) ) ).
% 24.90/25.02
% 24.90/25.02 cnf(c_15,negated_conjecture,
% 24.90/25.02 ( Y = k
% 24.90/25.02 | Y != n
% 24.90/25.02 | element(Y,k) ) ).
% 24.90/25.02
% 24.90/25.02 cnf(c_16,negated_conjecture,
% 24.90/25.02 ( Y = k
% 24.90/25.02 | Y = m
% 24.90/25.02 | Y = n
% 24.90/25.02 | ~ element(Y,k) ) ).
% 24.90/25.02
% 24.90/25.02 %--------------------------------------------------------------------------
% 24.90/25.02 %-------------------------------------------
% 24.90/25.02 % Proof found
% 24.90/25.02 % SZS status Theorem for theBenchmark
% 24.90/25.02 % SZS output start Proof
% 24.90/25.02 %ClaNum:23(EqnAxiom:7)
% 24.90/25.02 %VarNum:58(SingletonVarNum:15)
% 24.90/25.02 %MaxLitNum:6
% 24.90/25.02 %MaxfuncDepth:1
% 24.90/25.02 %SharedTerms:6
% 24.90/25.02 %goalClause: 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
% 24.90/25.02 %singleGoalClaCount:3
% 24.90/25.02 [8]~E(a1,a5)
% 24.90/25.02 [9]~E(a1,a2)
% 24.90/25.02 [10]~E(a2,a5)
% 24.90/25.02 [11]P1(x111,a2)+~E(x111,a1)+E(x111,a2)
% 24.90/25.02 [12]P1(x121,a2)+~E(x121,a5)+E(x121,a2)
% 24.90/25.02 [13]P1(x131,a5)+E(x131,a5)+~E(f3(x131),a5)
% 24.90/25.02 [14]P1(x141,a5)+~E(f3(x141),x141)+E(x141,a5)
% 24.90/25.02 [16]~P1(x161,a1)+E(x161,a1)+~E(f4(x161),a1)
% 24.90/25.02 [17]~E(f4(x171),x171)+~P1(x171,a1)+E(x171,a1)
% 24.90/25.02 [18]P1(x181,a5)+P1(x181,f3(x181))+E(x181,a5)
% 24.90/25.02 [19]P1(x191,a5)+P1(f3(x191),x191)+E(x191,a5)
% 24.90/25.02 [20]P1(x201,f4(x201))+~P1(x201,a1)+E(x201,a1)
% 24.90/25.02 [21]P1(f4(x211),x211)+~P1(x211,a1)+E(x211,a1)
% 24.90/25.02 [15]E(x151,a5)+E(x151,a2)+~P1(x151,a2)+E(x151,a1)
% 24.90/25.02 [22]~P1(x222,x221)+~P1(x221,x222)+E(x221,x222)+E(x222,a1)+E(x221,a1)+P1(x221,a1)
% 24.90/25.02 [23]~P1(x232,x231)+~P1(x231,x232)+E(x231,x232)+E(x232,a5)+E(x231,a5)+~P1(x231,a5)
% 24.90/25.02 %EqnAxiom
% 24.90/25.02 [1]E(x11,x11)
% 24.90/25.02 [2]E(x22,x21)+~E(x21,x22)
% 24.90/25.02 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 24.90/25.02 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 24.90/25.02 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 24.90/25.02 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 24.90/25.02 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 24.90/25.02
% 24.90/25.02 %-------------------------------------------
% 24.90/25.03 cnf(24,plain,
% 24.90/25.03 (~E(a5,a1)),
% 24.90/25.03 inference(scs_inference,[],[8,2])).
% 24.90/25.03 cnf(25,plain,
% 24.90/25.03 (~E(x251,a5)+~E(a1,x251)),
% 24.90/25.03 inference(scs_inference,[],[8,2,3])).
% 24.90/25.03 cnf(27,plain,
% 24.90/25.03 (P1(a1,a2)),
% 24.90/25.03 inference(scs_inference,[],[9,11])).
% 24.90/25.03 cnf(28,plain,
% 24.90/25.03 (~P1(a2,a1)+~P1(a1,a5)),
% 24.90/25.03 inference(scs_inference,[],[9,10,8,11,23])).
% 24.90/25.03 cnf(30,plain,
% 24.90/25.03 (P1(a2,a5)+~E(f3(a2),a5)),
% 24.90/25.03 inference(scs_inference,[],[10,13])).
% 24.90/25.03 cnf(33,plain,
% 24.90/25.03 (~P1(a2,a1)+E(a2,a1)+~E(f3(a2),a5)),
% 24.90/25.03 inference(scs_inference,[],[10,24,27,8,13,22,23])).
% 24.90/25.03 cnf(36,plain,
% 24.90/25.03 (~E(a5,a2)),
% 24.90/25.03 inference(scs_inference,[],[10,24,21,2])).
% 24.90/25.03 cnf(39,plain,
% 24.90/25.03 (P1(a5,a2)),
% 24.90/25.03 inference(scs_inference,[],[36,12])).
% 24.90/25.03 cnf(43,plain,
% 24.90/25.03 (~E(x431,a1)+~E(x431,a5)),
% 24.90/25.03 inference(scs_inference,[],[25,2])).
% 24.90/25.03 cnf(44,plain,
% 24.90/25.03 (~E(x441,a1)+~E(a5,x441)),
% 24.90/25.03 inference(scs_inference,[],[24,3])).
% 24.90/25.03 cnf(55,plain,
% 24.90/25.03 (~P1(a2,a5)+P1(a5,a1)+E(a2,a1)),
% 24.90/25.03 inference(scs_inference,[],[36,39,43,22])).
% 24.90/25.03 cnf(56,plain,
% 24.90/25.03 (~P1(a2,a5)+P1(a2,a1)+E(a2,a1)),
% 24.90/25.03 inference(scs_inference,[],[39,10,24,22])).
% 24.90/25.03 cnf(58,plain,
% 24.90/25.03 (~P1(a5,a1)+~E(f4(a5),a5)),
% 24.90/25.03 inference(scs_inference,[],[44,17])).
% 24.90/25.03 cnf(59,plain,
% 24.90/25.03 (P1(f3(a1),a1)+P1(a1,a5)),
% 24.90/25.03 inference(scs_inference,[],[8,19])).
% 24.90/25.03 cnf(66,plain,
% 24.90/25.03 (P1(a1,a5)+~E(f3(a1),a5)),
% 24.90/25.03 inference(scs_inference,[],[8,13])).
% 24.90/25.03 cnf(70,plain,
% 24.90/25.03 (P1(a1,f3(a1))+P1(a1,a5)),
% 24.90/25.03 inference(scs_inference,[],[8,18])).
% 24.90/25.03 cnf(72,plain,
% 24.90/25.03 (~E(a2,a1)),
% 24.90/25.03 inference(scs_inference,[],[9,8,18,2])).
% 24.90/25.03 cnf(73,plain,
% 24.90/25.03 (~P1(a2,a5)+P1(a2,a1)),
% 24.90/25.03 inference(scs_inference,[],[9,8,18,2,56])).
% 24.90/25.03 cnf(74,plain,
% 24.90/25.03 (~P1(a2,a5)+P1(a5,a1)),
% 24.90/25.03 inference(scs_inference,[],[9,8,18,2,56,55])).
% 24.90/25.03 cnf(83,plain,
% 24.90/25.03 (~P1(a2,a1)+~E(f3(a2),a5)),
% 24.90/25.03 inference(scs_inference,[],[72,33])).
% 24.90/25.03 cnf(86,plain,
% 24.90/25.03 (~P1(a2,a1)+~E(f4(a2),a2)),
% 24.90/25.03 inference(scs_inference,[],[72,17])).
% 24.90/25.03 cnf(88,plain,
% 24.90/25.03 (~P1(a2,a1)+~E(f4(a2),a1)),
% 24.90/25.03 inference(scs_inference,[],[72,17,16])).
% 24.90/25.03 cnf(90,plain,
% 24.90/25.03 (~P1(a2,a1)+P1(f4(a2),a2)),
% 24.90/25.03 inference(scs_inference,[],[72,17,16,21])).
% 24.90/25.03 cnf(95,plain,
% 24.90/25.03 (~E(f3(a1),a1)+P1(a1,a5)),
% 24.90/25.03 inference(scs_inference,[],[8,14])).
% 24.90/25.03 cnf(100,plain,
% 24.90/25.03 (~P1(a2,a1)+P1(a2,f4(a2))),
% 24.90/25.03 inference(scs_inference,[],[72,20])).
% 24.90/25.03 cnf(107,plain,
% 24.90/25.03 (P1(f3(a2),a2)+P1(a2,a5)),
% 24.90/25.03 inference(scs_inference,[],[10,19])).
% 24.90/25.03 cnf(112,plain,
% 24.90/25.03 (P1(a2,a1)+~E(f3(a2),a5)),
% 24.90/25.03 inference(scs_inference,[],[73,30])).
% 24.90/25.03 cnf(113,plain,
% 24.90/25.03 (P1(a2,f3(a2))+P1(a2,a5)),
% 24.90/25.03 inference(scs_inference,[],[10,18])).
% 24.90/25.03 cnf(115,plain,
% 24.90/25.03 (~E(f3(a2),a2)+P1(a2,a5)),
% 24.90/25.03 inference(scs_inference,[],[10,18,14])).
% 24.90/25.03 cnf(120,plain,
% 24.90/25.03 (P1(a2,f3(a2))+P1(a5,a1)),
% 24.90/25.03 inference(scs_inference,[],[74,113])).
% 24.90/25.03 cnf(136,plain,
% 24.90/25.03 (P1(a2,f3(a2))+~E(f4(a5),a5)),
% 24.90/25.03 inference(scs_inference,[],[58,120])).
% 24.90/25.03 cnf(142,plain,
% 24.90/25.03 (~P1(a2,a1)+P1(a1,f3(a1))),
% 24.90/25.03 inference(scs_inference,[],[70,28])).
% 24.90/25.03 cnf(144,plain,
% 24.90/25.03 (~E(f3(a2),a5)),
% 24.90/25.03 inference(scs_inference,[],[83,112])).
% 24.90/25.03 cnf(146,plain,
% 24.90/25.03 (~E(a5,f3(a2))),
% 24.90/25.03 inference(scs_inference,[],[144,2])).
% 24.90/25.03 cnf(149,plain,
% 24.90/25.03 (P1(f3(a2),f3(f3(a2)))+P1(f3(a2),a5)),
% 24.90/25.03 inference(scs_inference,[],[144,2,19,18])).
% 24.90/25.03 cnf(151,plain,
% 24.90/25.03 (P1(f3(a2),a5)+~E(f3(f3(a2)),a5)),
% 24.90/25.03 inference(scs_inference,[],[144,2,19,18,13])).
% 24.90/25.03 cnf(153,plain,
% 24.90/25.03 (~E(f3(f3(a2)),f3(a2))+P1(f3(a2),a5)),
% 24.90/25.03 inference(scs_inference,[],[144,2,19,18,13,14])).
% 24.90/25.03 cnf(157,plain,
% 24.90/25.03 (E(f3(a2),a2)+~P1(f3(a2),a2)+E(f3(a2),a1)),
% 24.90/25.03 inference(scs_inference,[],[144,15])).
% 24.90/25.03 cnf(172,plain,
% 24.90/25.03 (~P1(a2,a1)+P1(a1,x1721)+~E(f3(a1),x1721)),
% 24.90/25.03 inference(scs_inference,[],[142,7])).
% 24.90/25.03 cnf(212,plain,
% 24.90/25.03 (P1(x2121,a5)+~E(f3(a2),x2121)+~E(f3(f3(a2)),a5)),
% 24.90/25.03 inference(scs_inference,[],[151,6])).
% 24.90/25.03 cnf(215,plain,
% 24.90/25.03 (P1(x2151,a5)+~E(f3(a2),x2151)+P1(f3(a2),f3(f3(a2)))),
% 24.90/25.03 inference(scs_inference,[],[149,6])).
% 24.90/25.03 cnf(231,plain,
% 24.90/25.03 (~E(x2311,a5)+~E(x2311,f3(a2))),
% 24.90/25.03 inference(scs_inference,[],[146,3,2])).
% 24.90/25.03 cnf(234,plain,
% 24.90/25.03 (~E(x2341,f3(a2))+~E(f3(x2341),x2341)+P1(x2341,a5)),
% 24.90/25.03 inference(scs_inference,[],[231,14])).
% 24.90/25.03 cnf(254,plain,
% 24.90/25.03 (~E(a5,f3(f3(a2)))+~E(f3(a2),x2541)+P1(x2541,a5)),
% 24.90/25.03 inference(scs_inference,[],[212,2])).
% 24.90/25.03 cnf(267,plain,
% 24.90/25.03 (E(f3(x2671),f3(x2672))+~E(x2672,x2671)),
% 24.90/25.03 inference(scs_inference,[],[2,4])).
% 24.90/25.03 cnf(271,plain,
% 24.90/25.03 (E(f4(x2711),f4(x2712))+~E(x2712,x2711)),
% 24.90/25.03 inference(scs_inference,[],[2,5])).
% 24.90/25.03 cnf(302,plain,
% 24.90/25.03 (~E(a5,f3(a1))+P1(a1,a5)),
% 24.90/25.03 inference(scs_inference,[],[2,66])).
% 24.90/25.03 cnf(303,plain,
% 24.90/25.03 (~P1(a2,a1)+~E(a5,f3(a1))),
% 24.90/25.03 inference(scs_inference,[],[302,28])).
% 24.90/25.03 cnf(317,plain,
% 24.90/25.03 (E(a1,f3(a2))+~P1(f3(a2),a2)+E(f3(a2),a2)),
% 24.90/25.03 inference(scs_inference,[],[2,157])).
% 24.90/25.03 cnf(331,plain,
% 24.90/25.03 (~E(a1,f3(a1))+P1(a1,a5)),
% 24.90/25.03 inference(scs_inference,[],[2,95])).
% 24.90/25.03 cnf(338,plain,
% 24.90/25.03 (~E(a5,f4(a5))+P1(a2,f3(a2))),
% 24.90/25.03 inference(scs_inference,[],[2,136])).
% 24.90/25.03 cnf(339,plain,
% 24.90/25.03 (P1(a2,x3391)+~E(f3(a2),x3391)+~E(a5,f4(a5))),
% 24.90/25.03 inference(scs_inference,[],[338,7])).
% 24.90/25.03 cnf(347,plain,
% 24.90/25.03 (~E(f3(a2),f3(f3(a2)))+P1(f3(a2),a5)),
% 24.90/25.03 inference(scs_inference,[],[2,153])).
% 24.90/25.03 cnf(348,plain,
% 24.90/25.03 (P1(x3481,a5)+~E(f3(a2),x3481)+~E(f3(a2),f3(f3(a2)))),
% 24.90/25.03 inference(scs_inference,[],[347,6])).
% 24.90/25.03 cnf(493,plain,
% 24.90/25.03 (~E(f3(f3(a2)),f3(a2))+P1(f3(f3(a2)),a5)),
% 24.90/25.03 inference(scs_inference,[],[2,348])).
% 24.90/25.03 cnf(494,plain,
% 24.90/25.03 (~E(x4941,f3(a2))+~E(f3(f3(a2)),x4941)+P1(f3(f3(a2)),a5)),
% 24.90/25.03 inference(scs_inference,[],[493,3])).
% 24.90/25.03 cnf(516,plain,
% 24.90/25.03 (~E(f3(a2),x5161)+P1(f3(f3(a2)),a5)+~E(f3(f3(a2)),x5161)),
% 24.90/25.03 inference(scs_inference,[],[2,494])).
% 24.90/25.03 cnf(517,plain,
% 24.90/25.03 (P1(x5171,a5)+~E(f3(f3(a2)),x5171)+~E(f3(f3(a2)),x5172)+~E(f3(a2),x5172)),
% 24.90/25.03 inference(scs_inference,[],[516,6])).
% 24.90/25.03 cnf(574,plain,
% 24.90/25.03 (~P1(a1,a5)+~E(a5,f4(a5))+~E(f3(a2),a1)),
% 24.90/25.03 inference(scs_inference,[],[28,339])).
% 24.90/25.03 cnf(575,plain,
% 24.90/25.03 (P1(f3(a1),a1)+~E(a5,f4(a5))+~E(f3(a2),a1)),
% 24.90/25.03 inference(scs_inference,[],[574,59])).
% 24.90/25.03 cnf(576,plain,
% 24.90/25.03 (~E(a5,f4(a5))+~E(f3(a2),a1)+E(f3(a1),a1)+~E(f4(f3(a1)),a1)),
% 24.90/25.03 inference(scs_inference,[],[575,16])).
% 24.90/25.03 cnf(585,plain,
% 24.90/25.03 (~P1(a2,a1)+~E(f3(f3(a2)),a1)+~E(f3(f3(a2)),x5851)+~E(f3(a2),x5851)),
% 24.90/25.03 inference(scs_inference,[],[28,517])).
% 24.90/25.03 cnf(589,plain,
% 24.90/25.03 (~P1(a1,a5)+~P1(a2,x5891)+~E(x5891,a1)),
% 24.90/25.03 inference(scs_inference,[],[28,7])).
% 24.90/25.03 cnf(595,plain,
% 24.90/25.03 (~E(x5951,a5)+~P1(x5951,a1)+~E(f4(x5951),a1)),
% 24.90/25.03 inference(scs_inference,[],[43,16])).
% 24.90/25.03 cnf(596,plain,
% 24.90/25.03 (~E(a1,f4(x5961))+~P1(x5961,a1)+~E(x5961,a5)),
% 24.90/25.03 inference(scs_inference,[],[595,2])).
% 24.90/25.03 cnf(617,plain,
% 24.90/25.03 (~P1(a2,a5)),
% 24.90/25.03 inference(scs_inference,[],[27,10,8,72,73,23])).
% 24.90/25.03 cnf(618,plain,
% 24.90/25.03 (P1(f3(a2),a2)),
% 24.90/25.03 inference(scs_inference,[],[617,107])).
% 24.90/25.03 cnf(619,plain,
% 24.90/25.03 (P1(a2,f3(a2))),
% 24.90/25.03 inference(scs_inference,[],[617,113])).
% 24.90/25.03 cnf(620,plain,
% 24.90/25.03 (~E(f3(a2),a2)),
% 24.90/25.03 inference(scs_inference,[],[617,115])).
% 24.90/25.03 cnf(628,plain,
% 24.90/25.03 (~P1(a2,x6281)+~E(x6281,a5)),
% 24.90/25.03 inference(scs_inference,[],[617,7])).
% 24.90/25.03 cnf(637,plain,
% 24.90/25.03 (E(f3(a2),a1)),
% 24.90/25.03 inference(scs_inference,[],[620,618,157])).
% 24.90/25.03 cnf(652,plain,
% 24.90/25.03 (E(a1,f3(a2))),
% 24.90/25.03 inference(scs_inference,[],[620,618,317])).
% 24.90/25.03 cnf(689,plain,
% 24.90/25.03 (~E(a5,f4(a5))+E(f3(a1),a1)+~E(f4(f3(a1)),a1)),
% 24.90/25.03 inference(scs_inference,[],[637,576])).
% 24.90/25.03 cnf(730,plain,
% 24.90/25.03 (P1(a2,f4(a2))),
% 24.90/25.03 inference(scs_inference,[],[10,618,619,620,637,652,144,8,271,267,589,348,254,234,215,212,19,13,7,6,23,3,2,331,303,153,142,100])).
% 24.90/25.03 cnf(732,plain,
% 24.90/25.03 (~E(f4(a2),a1)),
% 24.90/25.03 inference(scs_inference,[],[10,618,619,620,637,652,144,8,271,267,589,348,254,234,215,212,19,13,7,6,23,3,2,331,303,153,142,100,90,88])).
% 24.90/25.03 cnf(743,plain,
% 24.90/25.03 (E(f4(a2),a5)),
% 24.90/25.03 inference(scs_inference,[],[10,618,619,620,637,652,144,8,271,267,589,348,254,234,215,212,19,13,7,6,23,3,2,331,303,153,142,100,90,88,86,689,172,585,17,21,15])).
% 24.90/25.03 cnf(745,plain,
% 24.90/25.03 (P1(f4(a2),a1)),
% 24.90/25.03 inference(scs_inference,[],[10,618,619,620,637,652,144,8,72,271,267,589,348,254,234,215,212,19,13,7,6,23,3,2,331,303,153,142,100,90,88,86,689,172,585,17,21,15,22])).
% 24.90/25.03 cnf(796,plain,
% 24.90/25.03 ($false),
% 24.90/25.03 inference(scs_inference,[],[730,732,743,745,596,231,5,17,628]),
% 24.90/25.03 ['proof']).
% 24.90/25.03 % SZS output end Proof
% 24.90/25.03 % Total time :24.390000s
%------------------------------------------------------------------------------