TSTP Solution File: HEN010-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : HEN010-4 : 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 : n001.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 : Thu Aug 31 01:54:10 EDT 2023
% Result : Unsatisfiable 0.19s 0.70s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n001.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 : Thu Aug 24 14:06:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.69 %-------------------------------------------
% 0.19/0.69 % File :CSE---1.6
% 0.19/0.69 % Problem :theBenchmark
% 0.19/0.69 % Transform :cnf
% 0.19/0.69 % Format :tptp:raw
% 0.19/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.69
% 0.19/0.69 % Result :Theorem 0.080000s
% 0.19/0.69 % Output :CNFRefutation 0.080000s
% 0.19/0.69 %-------------------------------------------
% 0.19/0.70 %--------------------------------------------------------------------------
% 0.19/0.70 % File : HEN010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.70 % Domain : Henkin Models
% 0.19/0.70 % Problem : Define X' as identity/X. Then X' = X'/(identity/X')
% 0.19/0.70 % Version : [MOW76] axioms : Augmented.
% 0.19/0.70 % English :
% 0.19/0.70
% 0.19/0.70 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.19/0.70 % Source : [TPTP]
% 0.19/0.70 % Names :
% 0.19/0.70
% 0.19/0.70 % Status : Unsatisfiable
% 0.19/0.70 % Rating : 0.00 v6.0.0, 0.11 v5.5.0, 0.19 v5.4.0, 0.20 v5.3.0, 0.25 v5.2.0, 0.12 v5.1.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.00 v3.3.0, 0.14 v3.2.0, 0.00 v2.2.1, 0.11 v2.2.0, 0.14 v2.1.0, 0.20 v2.0.0
% 0.19/0.70 % Syntax : Number of clauses : 17 ( 10 unt; 0 nHn; 7 RR)
% 0.19/0.70 % Number of literals : 26 ( 9 equ; 10 neg)
% 0.19/0.70 % Maximal clause size : 3 ( 1 avg)
% 0.19/0.70 % Maximal term depth : 4 ( 1 avg)
% 0.19/0.70 % Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% 0.19/0.70 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 0.19/0.70 % Number of variables : 29 ( 5 sgn)
% 0.19/0.70 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.19/0.70
% 0.19/0.70 % Comments :
% 0.19/0.70 %--------------------------------------------------------------------------
% 0.19/0.70 %----Include Henkin model axioms for equality formulation
% 0.19/0.70 include('Axioms/HEN002-0.ax').
% 0.19/0.70 %--------------------------------------------------------------------------
% 0.19/0.70 cnf(everything_divide_id_is_zero,axiom,
% 0.19/0.70 divide(X,identity) = zero ).
% 0.19/0.70
% 0.19/0.70 cnf(zero_divide_anything_is_zero,axiom,
% 0.19/0.70 divide(zero,X) = zero ).
% 0.19/0.70
% 0.19/0.70 cnf(x_divide_x_is_zero,axiom,
% 0.19/0.70 divide(X,X) = zero ).
% 0.19/0.70
% 0.19/0.70 cnf(x_divide_zero_is_x,axiom,
% 0.19/0.70 divide(a,zero) = a ).
% 0.19/0.70
% 0.19/0.70 cnf(transitivity_of_less_equal,axiom,
% 0.19/0.70 ( ~ less_equal(X,Y)
% 0.19/0.70 | ~ less_equal(Y,Z)
% 0.19/0.70 | less_equal(X,Z) ) ).
% 0.19/0.70
% 0.19/0.70 cnf(property_of_divide1,axiom,
% 0.19/0.70 ( ~ less_equal(divide(X,Y),Z)
% 0.19/0.70 | less_equal(divide(X,Z),Y) ) ).
% 0.19/0.70
% 0.19/0.70 cnf(property_of_divide2,axiom,
% 0.19/0.70 ( ~ less_equal(X,Y)
% 0.19/0.70 | less_equal(divide(Z,Y),divide(Z,X)) ) ).
% 0.19/0.70
% 0.19/0.70 cnf(property_of_divide3,axiom,
% 0.19/0.70 ( ~ less_equal(X,Y)
% 0.19/0.70 | less_equal(divide(X,Z),divide(Y,Z)) ) ).
% 0.19/0.70
% 0.19/0.70 cnf(one_inversion_equals_three,axiom,
% 0.19/0.70 divide(identity,divide(identity,divide(identity,X))) = divide(identity,X) ).
% 0.19/0.70
% 0.19/0.70 cnf(prove_property_of_inversion,negated_conjecture,
% 0.19/0.70 divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))) ).
% 0.19/0.70
% 0.19/0.70 %--------------------------------------------------------------------------
% 0.19/0.70 %-------------------------------------------
% 0.19/0.70 % Proof found
% 0.19/0.70 % SZS status Theorem for theBenchmark
% 0.19/0.70 % SZS output start Proof
% 0.19/0.70 %ClaNum:24(EqnAxiom:7)
% 0.19/0.70 %VarNum:56(SingletonVarNum:29)
% 0.19/0.70 %MaxLitNum:3
% 0.19/0.70 %MaxfuncDepth:3
% 0.19/0.70 %SharedTerms:9
% 0.19/0.70 %goalClause: 17
% 0.19/0.70 %singleGoalClaCount:1
% 0.19/0.70 [8]E(f3(a1,a2),a1)
% 0.19/0.70 [17]~E(f3(f3(a4,a1),f3(a4,f3(a4,a1))),f3(a4,a1))
% 0.19/0.70 [11]P1(x111,a4)
% 0.19/0.70 [12]P1(a2,x121)
% 0.19/0.70 [9]E(f3(x91,a4),a2)
% 0.19/0.70 [10]E(f3(a2,x101),a2)
% 0.19/0.70 [13]E(f3(x131,x131),a2)
% 0.19/0.70 [15]E(f3(a4,f3(a4,f3(a4,x151))),f3(a4,x151))
% 0.19/0.70 [14]P1(f3(x141,x142),x141)
% 0.19/0.70 [16]P1(f3(f3(x161,x162),f3(x163,x162)),f3(f3(x161,x163),x162))
% 0.19/0.70 [18]~P1(x181,x182)+E(f3(x181,x182),a2)
% 0.19/0.70 [19]P1(x191,x192)+~E(f3(x191,x192),a2)
% 0.19/0.70 [22]~P1(x223,x222)+P1(f3(x221,x222),f3(x221,x223))
% 0.19/0.70 [23]~P1(x231,x233)+P1(f3(x231,x232),f3(x233,x232))
% 0.19/0.70 [24]~P1(f3(x241,x243),x242)+P1(f3(x241,x242),x243)
% 0.19/0.70 [20]~P1(x202,x201)+~P1(x201,x202)+E(x201,x202)
% 0.19/0.70 [21]~P1(x211,x213)+P1(x211,x212)+~P1(x213,x212)
% 0.19/0.70 %EqnAxiom
% 0.19/0.70 [1]E(x11,x11)
% 0.19/0.70 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.70 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.19/0.70 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.19/0.70 [6]P1(x62,x63)+~E(x61,x62)+~P1(x61,x63)
% 0.19/0.70 [7]P1(x73,x72)+~E(x71,x72)+~P1(x73,x71)
% 0.19/0.70
% 0.19/0.70 %-------------------------------------------
% 0.19/0.71 cnf(25,plain,
% 0.19/0.71 (E(a1,f3(a1,a2))),
% 0.19/0.71 inference(scs_inference,[],[8,2])).
% 0.19/0.71 cnf(26,plain,
% 0.19/0.71 (P1(x261,x261)),
% 0.19/0.71 inference(scs_inference,[],[8,13,2,19])).
% 0.19/0.71 cnf(28,plain,
% 0.19/0.71 (P1(f3(f3(a1,a2),x281),a1)),
% 0.19/0.71 inference(scs_inference,[],[8,14,13,2,19,7])).
% 0.19/0.71 cnf(29,plain,
% 0.19/0.71 (P1(f3(x291,x292),x291)),
% 0.19/0.71 inference(rename_variables,[],[14])).
% 0.19/0.71 cnf(31,plain,
% 0.19/0.71 (E(f3(a4,f3(a4,f3(a4,a4))),a2)),
% 0.19/0.71 inference(scs_inference,[],[8,14,13,9,15,2,19,7,6,3])).
% 0.19/0.71 cnf(34,plain,
% 0.19/0.71 (~P1(f3(a4,a1),f3(f3(a4,a1),f3(a4,f3(a4,a1))))),
% 0.19/0.71 inference(scs_inference,[],[17,8,14,29,13,9,15,2,19,7,6,3,20])).
% 0.19/0.71 cnf(35,plain,
% 0.19/0.71 (P1(f3(x351,x352),x351)),
% 0.19/0.71 inference(rename_variables,[],[14])).
% 0.19/0.71 cnf(37,plain,
% 0.19/0.71 (E(f3(x371,f3(a1,a2)),f3(x371,a1))),
% 0.19/0.71 inference(scs_inference,[],[17,8,14,29,13,9,15,2,19,7,6,3,20,5])).
% 0.19/0.71 cnf(38,plain,
% 0.19/0.71 (E(f3(f3(a1,a2),x381),f3(a1,x381))),
% 0.19/0.71 inference(scs_inference,[],[17,8,14,29,13,9,15,2,19,7,6,3,20,5,4])).
% 0.19/0.71 cnf(39,plain,
% 0.19/0.71 (P1(f3(x391,x392),f3(a4,x392))),
% 0.19/0.71 inference(scs_inference,[],[17,11,8,14,29,13,9,15,2,19,7,6,3,20,5,4,23])).
% 0.19/0.71 cnf(45,plain,
% 0.19/0.71 (P1(f3(x451,a4),x452)),
% 0.19/0.71 inference(scs_inference,[],[17,11,8,14,29,35,13,9,15,2,19,7,6,3,20,5,4,23,22,18,24])).
% 0.19/0.71 cnf(46,plain,
% 0.19/0.71 (P1(x461,a4)),
% 0.19/0.71 inference(rename_variables,[],[11])).
% 0.19/0.71 cnf(48,plain,
% 0.19/0.71 (~P1(a4,f3(f3(a4,a1),f3(a4,f3(a4,a1))))),
% 0.19/0.71 inference(scs_inference,[],[17,11,46,8,14,29,35,13,9,15,2,19,7,6,3,20,5,4,23,22,18,24,21])).
% 0.19/0.71 cnf(52,plain,
% 0.19/0.71 (~P1(f3(a4,a1),a2)),
% 0.19/0.71 inference(scs_inference,[],[17,12,34,2,21])).
% 0.19/0.71 cnf(53,plain,
% 0.19/0.71 (P1(a2,x531)),
% 0.19/0.71 inference(rename_variables,[],[12])).
% 0.19/0.71 cnf(55,plain,
% 0.19/0.71 (~E(a2,a4)),
% 0.19/0.71 inference(scs_inference,[],[17,12,53,34,48,2,21,6])).
% 0.19/0.71 cnf(56,plain,
% 0.19/0.71 (P1(a2,x561)),
% 0.19/0.71 inference(rename_variables,[],[12])).
% 0.19/0.71 cnf(59,plain,
% 0.19/0.71 (~E(f3(f3(a4,a1),a2),a2)),
% 0.19/0.71 inference(scs_inference,[],[17,12,53,14,34,48,2,21,6,7,19])).
% 0.19/0.71 cnf(61,plain,
% 0.19/0.71 (~P1(f3(a4,a2),a1)),
% 0.19/0.71 inference(scs_inference,[],[17,12,53,14,34,48,2,21,6,7,19,24])).
% 0.19/0.71 cnf(63,plain,
% 0.19/0.71 (~E(a2,x631)+E(f3(a2,x632),x631)),
% 0.19/0.71 inference(scs_inference,[],[17,12,53,10,14,34,48,2,21,6,7,19,24,3])).
% 0.19/0.71 cnf(64,plain,
% 0.19/0.71 (~P1(f3(f3(a4,a1),a2),a2)),
% 0.19/0.71 inference(scs_inference,[],[17,12,53,56,10,14,34,48,2,21,6,7,19,24,3,20])).
% 0.19/0.71 cnf(68,plain,
% 0.19/0.71 (P1(a4,f3(a4,f3(a4,a4)))),
% 0.19/0.71 inference(scs_inference,[],[31,19])).
% 0.19/0.71 cnf(72,plain,
% 0.19/0.71 (P1(f3(f3(x721,x722),f3(x723,x722)),f3(x721,x723))),
% 0.19/0.71 inference(scs_inference,[],[16,14,31,19,24,21])).
% 0.19/0.71 cnf(75,plain,
% 0.19/0.71 (~P1(a4,a2)),
% 0.19/0.71 inference(scs_inference,[],[16,12,14,31,55,19,24,21,20])).
% 0.19/0.71 cnf(78,plain,
% 0.19/0.71 (E(a2,f3(x781,x781))),
% 0.19/0.71 inference(scs_inference,[],[16,12,13,14,31,55,19,24,21,20,2])).
% 0.19/0.71 cnf(79,plain,
% 0.19/0.71 (~E(f3(f3(a4,a1),a2),f3(x791,x791))),
% 0.19/0.71 inference(scs_inference,[],[16,12,13,14,59,31,55,19,24,21,20,2,3])).
% 0.19/0.71 cnf(80,plain,
% 0.19/0.71 (P1(f3(f3(x801,f3(x801,x802)),f3(x802,f3(x801,x802))),a2)),
% 0.19/0.71 inference(scs_inference,[],[16,12,13,14,59,31,55,19,24,21,20,2,3,7])).
% 0.19/0.71 cnf(88,plain,
% 0.19/0.71 (~E(f3(a4,a1),a2)),
% 0.19/0.71 inference(scs_inference,[],[79,4])).
% 0.19/0.71 cnf(89,plain,
% 0.19/0.71 (~E(f3(f3(a4,a1),a2),f3(x891,x891))),
% 0.19/0.71 inference(rename_variables,[],[79])).
% 0.19/0.71 cnf(92,plain,
% 0.19/0.71 (E(f3(f3(x921,a4),f3(x922,a4)),f3(f3(x921,x922),a4))),
% 0.19/0.71 inference(scs_inference,[],[16,79,45,64,4,19,20])).
% 0.19/0.71 cnf(96,plain,
% 0.19/0.71 (P1(f3(f3(x961,f3(x961,x962)),f3(x962,f3(x961,x962))),x963)),
% 0.19/0.71 inference(scs_inference,[],[12,16,79,45,64,80,4,19,20,21])).
% 0.19/0.71 cnf(99,plain,
% 0.19/0.71 (~E(f3(x991,x991),f3(f3(a4,a1),a2))),
% 0.19/0.71 inference(scs_inference,[],[25,12,16,79,89,45,64,80,4,19,20,21,5,2])).
% 0.19/0.71 cnf(100,plain,
% 0.19/0.71 (~E(f3(a2,x1001),f3(a4,a1))),
% 0.19/0.71 inference(scs_inference,[],[25,12,14,16,52,79,89,45,64,80,4,19,20,21,5,2,6])).
% 0.19/0.71 cnf(107,plain,
% 0.19/0.71 (~P1(a4,a1)),
% 0.19/0.71 inference(scs_inference,[],[25,15,12,11,14,16,52,79,89,45,64,80,4,19,20,21,5,2,6,3,7,18])).
% 0.19/0.71 cnf(110,plain,
% 0.19/0.71 (~E(f3(x1101,x1101),f3(f3(a4,a1),a2))),
% 0.19/0.71 inference(rename_variables,[],[99])).
% 0.19/0.71 cnf(113,plain,
% 0.19/0.71 (E(f3(f3(x1131,a4),x1132),f3(a2,x1132))),
% 0.19/0.71 inference(scs_inference,[],[9,16,99,63,18,4])).
% 0.19/0.71 cnf(114,plain,
% 0.19/0.71 (E(f3(a4,f3(a4,a4)),a4)),
% 0.19/0.71 inference(scs_inference,[],[9,11,16,99,68,63,18,4,20])).
% 0.19/0.71 cnf(117,plain,
% 0.19/0.71 (E(a2,f3(x1171,a4))),
% 0.19/0.71 inference(scs_inference,[],[9,11,16,99,68,63,18,4,20,2])).
% 0.19/0.71 cnf(118,plain,
% 0.19/0.71 (~E(f3(a1,f3(a1,a2)),f3(f3(a4,a1),a2))),
% 0.19/0.71 inference(scs_inference,[],[9,11,16,99,110,38,68,63,18,4,20,2,3])).
% 0.19/0.71 cnf(121,plain,
% 0.19/0.71 (~P1(f3(a4,f3(a4,f3(a4,a2))),a1)),
% 0.19/0.71 inference(scs_inference,[],[9,15,11,16,99,110,61,38,68,63,18,4,20,2,3,6])).
% 0.19/0.71 cnf(123,plain,
% 0.19/0.71 (~P1(f3(a4,a2),f3(a1,a2))),
% 0.19/0.71 inference(scs_inference,[],[9,15,11,16,99,110,61,38,68,8,63,18,4,20,2,3,6,7])).
% 0.19/0.71 cnf(126,plain,
% 0.19/0.71 (P1(f3(x1261,x1262),f3(x1261,a2))),
% 0.19/0.71 inference(scs_inference,[],[9,15,12,11,16,99,110,61,38,68,8,63,18,4,20,2,3,6,7,23,22])).
% 0.19/0.71 cnf(128,plain,
% 0.19/0.71 (~P1(f3(a4,a1),f3(a4,f3(a4,a2)))),
% 0.19/0.71 inference(scs_inference,[],[9,15,12,11,16,99,110,61,38,68,8,63,18,4,20,2,3,6,7,23,22,24])).
% 0.19/0.71 cnf(130,plain,
% 0.19/0.71 (~P1(f3(a4,a2),a2)),
% 0.19/0.71 inference(scs_inference,[],[9,15,12,11,16,99,110,61,38,68,8,63,18,4,20,2,3,6,7,23,22,24,21])).
% 0.19/0.71 cnf(133,plain,
% 0.19/0.71 (~E(f3(f3(a4,a2),a1),a2)),
% 0.19/0.71 inference(scs_inference,[],[9,15,12,11,16,99,110,61,38,68,8,63,18,4,20,2,3,6,7,23,22,24,21,19])).
% 0.19/0.71 cnf(135,plain,
% 0.19/0.71 (E(f3(a2,x1351),f3(x1352,x1352))),
% 0.19/0.71 inference(scs_inference,[],[78,63])).
% 0.19/0.71 cnf(136,plain,
% 0.19/0.71 (P1(f3(x1361,f3(x1361,x1362)),x1362)),
% 0.19/0.71 inference(scs_inference,[],[26,78,63,24])).
% 0.19/0.71 cnf(139,plain,
% 0.19/0.71 (~P1(f3(a4,a1),f3(a2,a1))),
% 0.19/0.71 inference(scs_inference,[],[26,39,100,78,63,24,20])).
% 0.19/0.71 cnf(152,plain,
% 0.19/0.71 (~P1(f3(a4,f3(a2,a1)),a1)),
% 0.19/0.71 inference(scs_inference,[],[28,139,18,24])).
% 0.19/0.71 cnf(154,plain,
% 0.19/0.71 (E(f3(x1541,f3(a2,x1542)),f3(x1541,a2))),
% 0.19/0.71 inference(scs_inference,[],[10,28,139,18,24,5])).
% 0.19/0.71 cnf(166,plain,
% 0.19/0.71 (P1(x1661,f3(x1661,a2))),
% 0.19/0.71 inference(scs_inference,[],[10,28,26,12,136,107,135,113,139,18,24,5,20,2,7,3,6,19])).
% 0.19/0.71 cnf(169,plain,
% 0.19/0.71 (P1(f3(f3(a1,a2),a1),x1691)),
% 0.19/0.71 inference(scs_inference,[],[28,24])).
% 0.19/0.71 cnf(173,plain,
% 0.19/0.71 (E(f3(x1731,a2),x1731)),
% 0.19/0.71 inference(scs_inference,[],[28,14,75,166,24,19,20])).
% 0.19/0.71 cnf(179,plain,
% 0.19/0.71 (~P1(f3(a4,f3(a4,a4)),a2)),
% 0.19/0.71 inference(scs_inference,[],[10,28,14,75,166,118,114,24,19,20,2,7,6])).
% 0.19/0.71 cnf(194,plain,
% 0.19/0.71 (~E(f3(a4,a1),f3(a4,f3(a4,f3(a4,a4))))),
% 0.19/0.71 inference(scs_inference,[],[12,31,26,34,88,126,154,123,133,21,24,20,2,6,3])).
% 0.19/0.71 cnf(200,plain,
% 0.19/0.71 (~E(a1,f3(a4,f3(a4,a4)))),
% 0.19/0.71 inference(scs_inference,[],[12,31,26,34,28,88,126,154,123,133,117,21,24,20,2,6,3,22,23,63,5])).
% 0.19/0.71 cnf(202,plain,
% 0.19/0.71 (P1(a2,x2021)),
% 0.19/0.71 inference(rename_variables,[],[12])).
% 0.19/0.71 cnf(215,plain,
% 0.19/0.71 (P1(f3(x2151,f3(x2151,x2152)),f3(x2152,f3(x2151,x2152)))),
% 0.19/0.71 inference(scs_inference,[],[12,202,28,14,13,96,194,173,121,92,21,24,20,5,2,6,3,19])).
% 0.19/0.71 cnf(219,plain,
% 0.19/0.71 (~E(f3(f3(a4,a1),f3(a4,f3(a4,a2))),a2)),
% 0.19/0.71 inference(scs_inference,[],[128,179,24,19])).
% 0.19/0.71 cnf(237,plain,
% 0.19/0.71 (P1(f3(x2371,f3(x2372,f3(x2371,x2372))),f3(x2371,x2372))),
% 0.19/0.71 inference(scs_inference,[],[215,24])).
% 0.19/0.71 cnf(239,plain,
% 0.19/0.71 (~P1(f3(f3(a4,a1),f3(a4,f3(a4,a2))),a2)),
% 0.19/0.71 inference(scs_inference,[],[215,219,12,24,20])).
% 0.19/0.71 cnf(256,plain,
% 0.19/0.71 (P1(f3(f3(f3(x2561,x2562),f3(x2563,x2562)),x2564),f3(f3(x2561,x2563),x2562))),
% 0.19/0.71 inference(scs_inference,[],[14,16,237,18,21])).
% 0.19/0.71 cnf(257,plain,
% 0.19/0.71 (P1(f3(x2571,x2572),x2571)),
% 0.19/0.71 inference(rename_variables,[],[14])).
% 0.19/0.71 cnf(267,plain,
% 0.19/0.71 (~E(f3(f3(a1,a2),x2671),f3(a4,f3(a2,a1)))),
% 0.19/0.71 inference(scs_inference,[],[14,38,31,16,28,237,72,130,169,239,152,18,21,24,20,7,2,6])).
% 0.19/0.71 cnf(273,plain,
% 0.19/0.71 (P1(f3(x2731,x2732),f3(x2731,f3(x2732,x2733)))),
% 0.19/0.71 inference(scs_inference,[],[14,257,38,31,37,16,28,237,72,130,169,239,152,18,21,24,20,7,2,6,3,23,22])).
% 0.19/0.71 cnf(278,plain,
% 0.19/0.71 (P1(f3(f3(f3(x2781,x2782),f3(x2783,x2782)),x2784),f3(f3(x2781,x2783),x2782))),
% 0.19/0.71 inference(rename_variables,[],[256])).
% 0.19/0.71 cnf(279,plain,
% 0.19/0.71 (P1(f3(x2791,x2792),x2791)),
% 0.19/0.71 inference(rename_variables,[],[14])).
% 0.19/0.71 cnf(292,plain,
% 0.19/0.71 ($false),
% 0.19/0.71 inference(scs_inference,[],[14,279,25,38,34,15,16,256,278,273,200,267,215,21,24,4,20,7,2,3,6]),
% 0.19/0.71 ['proof']).
% 0.19/0.71 % SZS output end Proof
% 0.19/0.71 % Total time :0.080000s
%------------------------------------------------------------------------------