TSTP Solution File: GRP029-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n016.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 00:10:40 EDT 2023
% Result : Unsatisfiable 0.52s 0.85s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n016.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 : Tue Aug 29 00:49:30 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.50/0.56 start to proof:theBenchmark
% 0.52/0.84 %-------------------------------------------
% 0.52/0.84 % File :CSE---1.6
% 0.52/0.84 % Problem :theBenchmark
% 0.52/0.84 % Transform :cnf
% 0.52/0.84 % Format :tptp:raw
% 0.52/0.84 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.84
% 0.52/0.84 % Result :Theorem 0.230000s
% 0.52/0.84 % Output :CNFRefutation 0.230000s
% 0.52/0.84 %-------------------------------------------
% 0.52/0.85 %--------------------------------------------------------------------------
% 0.52/0.85 % File : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% 0.52/0.85 % Domain : Group Theory (Semigroups)
% 0.52/0.85 % Problem : In semigroups, left id and inverse => right id exists
% 0.52/0.85 % Version : [MOW76] axioms : Incomplete.
% 0.52/0.85 % English : If there are a left identity and left inverse, then there
% 0.52/0.85 % is a right identity element.
% 0.52/0.85
% 0.52/0.85 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.52/0.85 % Source : [SPRFN]
% 0.52/0.85 % Names : G5 [MOW76]
% 0.52/0.85
% 0.52/0.85 % Status : Unsatisfiable
% 0.52/0.85 % Rating : 0.00 v7.4.0, 0.17 v7.3.0, 0.00 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.00 v2.2.1, 0.11 v2.1.0, 0.14 v2.0.0
% 0.52/0.85 % Syntax : Number of clauses : 16 ( 5 unt; 0 nHn; 10 RR)
% 0.52/0.85 % Number of literals : 36 ( 0 equ; 21 neg)
% 0.52/0.85 % Maximal clause size : 4 ( 2 avg)
% 0.52/0.85 % Maximal term depth : 2 ( 1 avg)
% 0.52/0.85 % Number of predicates : 2 ( 2 usr; 0 prp; 2-3 aty)
% 0.52/0.85 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.52/0.85 % Number of variables : 47 ( 0 sgn)
% 0.52/0.85 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.52/0.85
% 0.52/0.85 % Comments : This may also be viewed as a group theory problem, to prove
% 0.52/0.85 % that the right identity axiom is dependant on the rest of the
% 0.52/0.85 % axiom set; i.e., each element has a right identity. Note that
% 0.52/0.85 % this is a corollary to proving that the right identity axiom
% 0.52/0.85 % is dependant on the rest of the axiom set, but also that the
% 0.52/0.85 % proof is different due to the introduction of a skolem
% 0.52/0.85 % function for the right identity of each element of the group.
% 0.52/0.85 % : The not_right_identity substitution axioms are missing.
% 0.52/0.85 %--------------------------------------------------------------------------
% 0.52/0.85 %----Include semi-group axioms
% 0.52/0.85 %include('Axioms/GRP002-0.ax').
% 0.52/0.85 %--------------------------------------------------------------------------
% 0.52/0.85 cnf(reflexivity,axiom,
% 0.52/0.85 equalish(X,X) ).
% 0.52/0.85
% 0.52/0.85 cnf(symmetry,axiom,
% 0.52/0.85 ( ~ equalish(X,Y)
% 0.52/0.85 | equalish(Y,X) ) ).
% 0.52/0.85
% 0.52/0.85 cnf(transitivity,axiom,
% 0.52/0.85 ( ~ equalish(X,Y)
% 0.52/0.85 | ~ equalish(Y,Z)
% 0.52/0.85 | equalish(X,Z) ) ).
% 0.52/0.85
% 0.52/0.85 cnf(multiply_substitution1,axiom,
% 0.52/0.85 ( ~ equalish(X,Y)
% 0.52/0.85 | equalish(multiply(X,W),multiply(Y,W)) ) ).
% 0.52/0.85
% 0.52/0.85 cnf(multiply_substitution2,axiom,
% 0.52/0.85 ( ~ equalish(X,Y)
% 0.52/0.85 | equalish(multiply(W,X),multiply(W,Y)) ) ).
% 0.52/0.85
% 0.52/0.85 cnf(product_substitution1,axiom,
% 0.52/0.85 ( ~ equalish(X,Y)
% 0.52/0.85 | ~ product(X,W,Z)
% 0.52/0.85 | product(Y,W,Z) ) ).
% 0.52/0.85
% 0.52/0.85 cnf(product_substitution2,axiom,
% 0.52/0.85 ( ~ equalish(X,Y)
% 0.52/0.85 | ~ product(W,X,Z)
% 0.52/0.85 | product(W,Y,Z) ) ).
% 0.52/0.85
% 0.52/0.85 cnf(product_substitution3,axiom,
% 0.52/0.85 ( ~ equalish(X,Y)
% 0.52/0.85 | ~ product(W,Z,X)
% 0.52/0.85 | product(W,Z,Y) ) ).
% 0.52/0.85
% 0.52/0.85 cnf(inverse_substitution,axiom,
% 0.52/0.85 ( ~ equalish(X,Y)
% 0.52/0.85 | equalish(inverse(X),inverse(Y)) ) ).
% 0.52/0.85
% 0.52/0.85 %----This axiom is called closure or totality in some axiomatisations
% 0.52/0.85 cnf(total_function1,axiom,
% 0.52/0.85 product(X,Y,multiply(X,Y)) ).
% 0.52/0.85
% 0.52/0.85 %----This axiom is called well_definedness in some axiomatisations
% 0.52/0.85 cnf(total_function2,axiom,
% 0.52/0.85 ( ~ product(X,Y,Z)
% 0.52/0.85 | ~ product(X,Y,W)
% 0.52/0.85 | equalish(Z,W) ) ).
% 0.52/0.85
% 0.52/0.85 cnf(associativity1,axiom,
% 0.52/0.85 ( ~ product(X,Y,U)
% 0.52/0.85 | ~ product(Y,Z,V)
% 0.52/0.85 | ~ product(U,Z,W)
% 0.52/0.85 | product(X,V,W) ) ).
% 0.52/0.85
% 0.52/0.85 cnf(associativity2,axiom,
% 0.52/0.85 ( ~ product(X,Y,U)
% 0.52/0.85 | ~ product(Y,Z,V)
% 0.52/0.85 | ~ product(X,V,W)
% 0.52/0.85 | product(U,Z,W) ) ).
% 0.52/0.85
% 0.52/0.85 cnf(left_identity,axiom,
% 0.52/0.85 product(identity,A,A) ).
% 0.52/0.85
% 0.52/0.85 cnf(left_inverse,axiom,
% 0.52/0.85 product(inverse(A),A,identity) ).
% 0.52/0.85
% 0.52/0.85 cnf(prove_there_is_a_right_identity,negated_conjecture,
% 0.52/0.85 ~ product(not_right_identity(A),A,not_right_identity(A)) ).
% 0.52/0.85
% 0.52/0.85 %--------------------------------------------------------------------------
% 0.52/0.85 %-------------------------------------------
% 0.52/0.85 % Proof found
% 0.52/0.85 % SZS status Theorem for theBenchmark
% 0.52/0.85 % SZS output start Proof
% 0.52/0.85 %ClaNum:16(EqnAxiom:0)
% 0.52/0.85 %VarNum:95(SingletonVarNum:47)
% 0.52/0.85 %MaxLitNum:4
% 0.52/0.85 %MaxfuncDepth:1
% 0.52/0.85 %SharedTerms:1
% 0.52/0.85 %goalClause: 5
% 0.52/0.85 %singleGoalClaCount:1
% 0.52/0.85 [1]P1(x11,x11)
% 0.52/0.85 [2]P2(a1,x21,x21)
% 0.52/0.85 [3]P2(f2(x31),x31,a1)
% 0.52/0.85 [5]~P2(f4(x51),x51,f4(x51))
% 0.52/0.85 [4]P2(x41,x42,f3(x41,x42))
% 0.52/0.85 [6]~P1(x62,x61)+P1(x61,x62)
% 0.52/0.85 [7]~P1(x71,x72)+P1(f2(x71),f2(x72))
% 0.52/0.85 [9]~P1(x92,x93)+P1(f3(x91,x92),f3(x91,x93))
% 0.52/0.85 [10]~P1(x101,x103)+P1(f3(x101,x102),f3(x103,x102))
% 0.52/0.85 [8]~P1(x81,x83)+P1(x81,x82)+~P1(x83,x82)
% 0.52/0.85 [11]~P2(x111,x112,x114)+P2(x111,x112,x113)+~P1(x114,x113)
% 0.52/0.85 [12]~P2(x121,x124,x123)+P2(x121,x122,x123)+~P1(x124,x122)
% 0.52/0.85 [13]~P2(x134,x132,x133)+P2(x131,x132,x133)+~P1(x134,x131)
% 0.52/0.85 [14]~P2(x143,x144,x141)+P1(x141,x142)+~P2(x143,x144,x142)
% 0.52/0.85 [15]~P2(x156,x154,x151)+P2(x151,x152,x153)+~P2(x154,x152,x155)+~P2(x156,x155,x153)
% 0.52/0.85 [16]~P2(x161,x166,x164)+P2(x161,x162,x163)+~P2(x164,x165,x163)+~P2(x166,x165,x162)
% 0.52/0.85 %EqnAxiom
% 0.52/0.85
% 0.52/0.85 %-------------------------------------------
% 0.52/0.86 cnf(17,plain,
% 0.52/0.86 (P1(x171,f3(a1,x171))),
% 0.52/0.86 inference(scs_inference,[],[2,4,14])).
% 0.52/0.86 cnf(18,plain,
% 0.52/0.86 (P2(x181,x182,f3(x181,x182))),
% 0.52/0.86 inference(rename_variables,[],[4])).
% 0.52/0.86 cnf(19,plain,
% 0.52/0.86 (P2(f3(a1,a1),a1,a1)),
% 0.52/0.86 inference(scs_inference,[],[2,4,14,13])).
% 0.52/0.86 cnf(20,plain,
% 0.52/0.86 (P2(a1,x201,x201)),
% 0.52/0.86 inference(rename_variables,[],[2])).
% 0.52/0.86 cnf(22,plain,
% 0.52/0.86 (P2(a1,f3(a1,a1),a1)),
% 0.52/0.86 inference(scs_inference,[],[2,20,4,14,13,12])).
% 0.52/0.86 cnf(23,plain,
% 0.52/0.86 (P2(a1,x231,x231)),
% 0.52/0.86 inference(rename_variables,[],[2])).
% 0.52/0.86 cnf(25,plain,
% 0.52/0.86 (P2(a1,a1,f3(f2(x251),x251))),
% 0.52/0.86 inference(scs_inference,[],[2,20,23,4,18,3,14,13,12,16])).
% 0.52/0.86 cnf(26,plain,
% 0.52/0.86 (P2(f2(x261),x261,a1)),
% 0.52/0.86 inference(rename_variables,[],[3])).
% 0.52/0.86 cnf(27,plain,
% 0.52/0.86 (P2(a1,x271,x271)),
% 0.52/0.86 inference(rename_variables,[],[2])).
% 0.52/0.86 cnf(28,plain,
% 0.52/0.86 (P2(x281,x282,f3(x281,x282))),
% 0.52/0.86 inference(rename_variables,[],[4])).
% 0.52/0.86 cnf(30,plain,
% 0.52/0.86 (P2(f3(f2(x301),a1),x301,a1)),
% 0.52/0.86 inference(scs_inference,[],[2,20,23,27,4,18,28,3,26,14,13,12,16,15])).
% 0.52/0.86 cnf(32,plain,
% 0.52/0.86 (P2(x321,x322,f3(x321,x322))),
% 0.52/0.86 inference(rename_variables,[],[4])).
% 0.52/0.86 cnf(36,plain,
% 0.52/0.86 (P1(f3(a1,x361),f3(f3(a1,a1),x361))),
% 0.52/0.86 inference(scs_inference,[],[2,20,23,27,4,18,28,3,26,14,13,12,16,15,6,10])).
% 0.52/0.86 cnf(38,plain,
% 0.52/0.86 (P1(f3(x381,a1),f3(x381,f3(a1,a1)))),
% 0.52/0.86 inference(scs_inference,[],[2,20,23,27,4,18,28,3,26,14,13,12,16,15,6,10,9])).
% 0.52/0.86 cnf(42,plain,
% 0.52/0.86 (~P1(f3(f4(x421),x421),f4(x421))),
% 0.52/0.86 inference(scs_inference,[],[5,2,20,23,27,4,18,28,32,3,26,14,13,12,16,15,6,10,9,7,11])).
% 0.52/0.86 cnf(45,plain,
% 0.52/0.86 (~P1(f3(f4(a1),f3(a1,a1)),f4(a1))),
% 0.52/0.86 inference(scs_inference,[],[5,2,20,23,27,4,18,28,32,3,26,14,13,12,16,15,6,10,9,7,11,8])).
% 0.52/0.86 cnf(47,plain,
% 0.52/0.86 (~P1(f4(x471),f3(f4(x471),x471))),
% 0.52/0.86 inference(scs_inference,[],[42,6])).
% 0.52/0.86 cnf(49,plain,
% 0.52/0.86 (P1(a1,f3(f2(x491),x491))),
% 0.52/0.86 inference(scs_inference,[],[4,3,42,6,14])).
% 0.52/0.86 cnf(50,plain,
% 0.52/0.86 (P2(f2(x501),x501,a1)),
% 0.52/0.86 inference(rename_variables,[],[3])).
% 0.52/0.86 cnf(51,plain,
% 0.52/0.86 (P2(x511,x512,f3(x511,x512))),
% 0.52/0.86 inference(rename_variables,[],[4])).
% 0.52/0.86 cnf(54,plain,
% 0.52/0.86 (P2(x541,x542,f3(x541,x542))),
% 0.52/0.86 inference(rename_variables,[],[4])).
% 0.52/0.86 cnf(55,plain,
% 0.52/0.86 (~P2(f4(x551),x551,f4(x551))),
% 0.52/0.86 inference(rename_variables,[],[5])).
% 0.52/0.86 cnf(57,plain,
% 0.52/0.86 (~P2(a1,f3(f4(x571),x571),f4(x571))),
% 0.52/0.86 inference(scs_inference,[],[5,55,4,51,54,3,50,2,42,6,14,16,15])).
% 0.52/0.86 cnf(60,plain,
% 0.52/0.86 (P2(x601,x602,f3(x601,x602))),
% 0.52/0.86 inference(rename_variables,[],[4])).
% 0.52/0.86 cnf(62,plain,
% 0.52/0.86 (P2(x621,x622,f3(a1,f3(x621,x622)))),
% 0.52/0.86 inference(scs_inference,[],[5,55,4,51,54,60,3,50,2,42,17,6,14,16,15,11])).
% 0.52/0.86 cnf(65,plain,
% 0.52/0.86 (P1(f3(a1,x651),x651)),
% 0.52/0.86 inference(scs_inference,[],[17,6])).
% 0.52/0.86 cnf(67,plain,
% 0.52/0.86 (~P2(a1,f4(a1),f3(f4(a1),f3(a1,a1)))),
% 0.52/0.86 inference(scs_inference,[],[17,2,45,6,14])).
% 0.52/0.86 cnf(68,plain,
% 0.52/0.86 (P2(a1,x681,x681)),
% 0.52/0.86 inference(rename_variables,[],[2])).
% 0.52/0.86 cnf(70,plain,
% 0.52/0.86 (~P2(f3(a1,a1),f4(x701),f3(f4(x701),x701))),
% 0.52/0.86 inference(scs_inference,[],[17,2,68,22,45,57,6,14,16])).
% 0.52/0.86 cnf(82,plain,
% 0.52/0.86 (~P1(f4(a1),f3(f4(a1),f3(a1,a1)))),
% 0.52/0.86 inference(scs_inference,[],[45,6])).
% 0.52/0.86 cnf(84,plain,
% 0.52/0.86 (~P2(f4(a1),f2(f4(a1)),f3(a1,a1))),
% 0.52/0.86 inference(scs_inference,[],[3,4,70,45,6,15])).
% 0.52/0.86 cnf(87,plain,
% 0.52/0.86 (P2(f2(x871),x871,a1)),
% 0.52/0.86 inference(rename_variables,[],[3])).
% 0.52/0.86 cnf(92,plain,
% 0.52/0.86 (P2(f2(x921),x921,f3(a1,a1))),
% 0.52/0.86 inference(scs_inference,[],[3,87,17,4,70,30,45,6,15,16,11])).
% 0.52/0.86 cnf(98,plain,
% 0.52/0.86 (P1(x981,f3(f3(a1,a1),x981))),
% 0.52/0.86 inference(scs_inference,[],[17,36,8])).
% 0.52/0.86 cnf(101,plain,
% 0.52/0.86 (~P2(f3(a1,a1),f4(a1),f3(f4(a1),f3(a1,a1)))),
% 0.52/0.86 inference(scs_inference,[],[17,67,65,36,8,13])).
% 0.52/0.86 cnf(105,plain,
% 0.52/0.86 (P2(a1,x1051,x1051)),
% 0.52/0.86 inference(rename_variables,[],[2])).
% 0.52/0.86 cnf(107,plain,
% 0.52/0.86 (P1(f3(x1071,f3(a1,a1)),f3(x1071,a1))),
% 0.52/0.86 inference(scs_inference,[],[2,17,67,65,38,36,8,13,12,6])).
% 0.52/0.86 cnf(112,plain,
% 0.52/0.86 (P2(a1,x1121,x1121)),
% 0.52/0.86 inference(rename_variables,[],[2])).
% 0.52/0.86 cnf(115,plain,
% 0.52/0.86 (P1(x1151,f3(a1,x1151))),
% 0.52/0.86 inference(rename_variables,[],[17])).
% 0.52/0.86 cnf(118,plain,
% 0.52/0.86 (P2(a1,x1181,x1181)),
% 0.52/0.86 inference(rename_variables,[],[2])).
% 0.52/0.86 cnf(120,plain,
% 0.52/0.86 (P1(f3(x1201,x1202),f3(f3(a1,x1201),x1202))),
% 0.85/0.86 inference(scs_inference,[],[2,105,112,19,17,115,67,65,38,82,62,36,8,13,12,6,16,11,14,10])).
% 0.85/0.86 cnf(126,plain,
% 0.85/0.86 (P2(f3(a1,a1),x1261,x1261)),
% 0.85/0.86 inference(scs_inference,[],[2,105,112,118,19,17,115,4,67,65,38,82,62,36,8,13,12,6,16,11,14,10,9,7,15])).
% 0.85/0.86 cnf(130,plain,
% 0.85/0.86 (P1(x1301,f3(a1,x1301))),
% 0.85/0.86 inference(rename_variables,[],[17])).
% 0.85/0.86 cnf(135,plain,
% 0.85/0.86 (P2(f2(a1),x1351,x1351)),
% 0.85/0.86 inference(scs_inference,[],[2,25,3,17,130,84,13,11,16])).
% 0.85/0.86 cnf(138,plain,
% 0.85/0.86 (P1(f3(f3(a1,a1),x1381),x1381)),
% 0.85/0.86 inference(scs_inference,[],[2,25,3,4,17,130,126,84,13,11,16,14])).
% 0.85/0.86 cnf(140,plain,
% 0.85/0.86 (P2(x1401,x1402,f3(x1401,x1402))),
% 0.85/0.86 inference(rename_variables,[],[4])).
% 0.85/0.86 cnf(142,plain,
% 0.85/0.86 (P2(f3(f2(x1421),x1421),x1422,f3(a1,x1422))),
% 0.85/0.86 inference(scs_inference,[],[2,25,3,4,140,17,130,126,84,13,11,16,14,15])).
% 0.85/0.86 cnf(146,plain,
% 0.85/0.86 (P2(f3(f3(a1,a1),f2(x1461)),x1461,a1)),
% 0.85/0.86 inference(scs_inference,[],[3,98,13])).
% 0.85/0.86 cnf(147,plain,
% 0.85/0.86 (P1(x1471,f3(f3(a1,a1),x1471))),
% 0.85/0.86 inference(rename_variables,[],[98])).
% 0.85/0.86 cnf(149,plain,
% 0.85/0.86 (~P2(f4(a1),f3(a1,a1),f4(a1))),
% 0.85/0.86 inference(scs_inference,[],[3,4,98,101,126,13,16])).
% 0.85/0.86 cnf(153,plain,
% 0.85/0.86 (P2(f2(x1531),x1531,f3(f3(a1,a1),a1))),
% 0.85/0.86 inference(scs_inference,[],[3,4,98,147,101,126,13,16,11])).
% 0.85/0.86 cnf(157,plain,
% 0.85/0.86 (P2(f2(a1),x1571,x1571)),
% 0.85/0.86 inference(rename_variables,[],[135])).
% 0.85/0.86 cnf(159,plain,
% 0.85/0.86 (P2(a1,f2(a1),f3(f3(a1,a1),a1))),
% 0.85/0.86 inference(scs_inference,[],[3,4,98,147,135,157,101,42,126,13,16,11,14,15])).
% 0.85/0.86 cnf(163,plain,
% 0.85/0.86 (P1(f3(f3(a1,a1),x1631),f3(a1,x1631))),
% 0.85/0.86 inference(scs_inference,[],[3,4,17,138,98,147,135,157,101,42,126,13,16,11,14,15,8])).
% 0.85/0.86 cnf(166,plain,
% 0.85/0.86 (~P2(f4(a1),f3(f3(a1,a1),a1),f4(a1))),
% 0.85/0.86 inference(scs_inference,[],[163,149,12])).
% 0.85/0.86 cnf(170,plain,
% 0.85/0.86 (P1(x1701,f3(a1,x1701))),
% 0.85/0.86 inference(rename_variables,[],[17])).
% 0.85/0.86 cnf(172,plain,
% 0.85/0.86 (P2(f2(f2(x1721)),a1,f3(a1,x1721))),
% 0.85/0.86 inference(scs_inference,[],[3,30,4,17,142,163,149,12,11,16])).
% 0.85/0.86 cnf(174,plain,
% 0.85/0.86 (P2(x1741,x1742,f3(x1741,x1742))),
% 0.85/0.86 inference(rename_variables,[],[4])).
% 0.85/0.86 cnf(176,plain,
% 0.85/0.86 (P2(f3(a1,x1761),x1762,f3(x1761,x1762))),
% 0.85/0.86 inference(scs_inference,[],[3,30,4,174,17,170,142,163,149,12,11,16,13])).
% 0.85/0.86 cnf(179,plain,
% 0.85/0.86 (~P2(f3(a1,a1),f3(f4(x1791),x1791),f4(x1791))),
% 0.85/0.86 inference(scs_inference,[],[3,30,4,174,17,170,142,163,149,47,126,12,11,16,13,14])).
% 0.85/0.86 cnf(183,plain,
% 0.85/0.86 (P2(x1831,x1832,f3(x1831,x1832))),
% 0.85/0.86 inference(rename_variables,[],[4])).
% 0.85/0.86 cnf(185,plain,
% 0.85/0.86 (P1(f3(f3(a1,x1851),x1852),f3(x1851,x1852))),
% 0.85/0.86 inference(scs_inference,[],[4,166,159,65,16,10])).
% 0.85/0.86 cnf(187,plain,
% 0.85/0.86 (P1(f3(x1871,f3(a1,x1872)),f3(x1871,x1872))),
% 0.85/0.86 inference(scs_inference,[],[4,166,159,65,16,10,9])).
% 0.85/0.86 cnf(189,plain,
% 0.85/0.86 (P1(f2(f3(a1,x1891)),f2(x1891))),
% 0.85/0.86 inference(scs_inference,[],[4,166,159,65,16,10,9,7])).
% 0.85/0.86 cnf(196,plain,
% 0.85/0.86 (~P2(f4(a1),f3(a1,f2(a1)),f4(a1))),
% 0.85/0.86 inference(scs_inference,[],[4,183,176,166,107,159,49,65,16,10,9,7,6,13,15])).
% 0.85/0.86 cnf(197,plain,
% 0.85/0.86 (P2(x1971,x1972,f3(x1971,x1972))),
% 0.85/0.86 inference(rename_variables,[],[4])).
% 0.85/0.86 cnf(200,plain,
% 0.85/0.86 (P1(x2001,f3(f3(a1,a1),f3(a1,x2001)))),
% 0.85/0.86 inference(scs_inference,[],[4,183,17,176,166,107,159,49,98,65,16,10,9,7,6,13,15,8])).
% 0.85/0.86 cnf(203,plain,
% 0.85/0.86 (P2(x2031,f3(a1,x2032),f3(x2031,x2032))),
% 0.85/0.86 inference(scs_inference,[],[4,183,197,17,176,166,107,159,49,98,65,16,10,9,7,6,13,15,8,12])).
% 0.85/0.86 cnf(206,plain,
% 0.85/0.86 (~P2(f4(a1),f2(a1),f4(a1))),
% 0.85/0.86 inference(scs_inference,[],[17,196,12])).
% 0.85/0.86 cnf(209,plain,
% 0.85/0.86 (P2(f3(f3(a1,a1),f3(a1,x2091)),x2092,f3(x2091,x2092))),
% 0.85/0.86 inference(scs_inference,[],[4,17,200,196,12,13])).
% 0.85/0.86 cnf(212,plain,
% 0.85/0.86 (~P2(f3(f3(a1,a1),f4(x2121)),f3(a1,x2121),f4(x2121))),
% 0.85/0.86 inference(scs_inference,[],[4,17,179,200,203,196,12,13,16])).
% 0.85/0.86 cnf(213,plain,
% 0.85/0.86 (P2(x2131,x2132,f3(x2131,x2132))),
% 0.85/0.86 inference(rename_variables,[],[4])).
% 0.85/0.86 cnf(215,plain,
% 0.85/0.86 (P2(x2151,f3(a1,x2152),f3(x2151,x2152))),
% 0.85/0.86 inference(rename_variables,[],[203])).
% 0.85/0.86 cnf(217,plain,
% 0.85/0.86 (P2(f3(a1,a1),x2171,f3(f2(a1),x2171))),
% 0.85/0.86 inference(scs_inference,[],[4,213,17,179,92,200,203,215,196,12,13,16,15])).
% 0.85/0.86 cnf(240,plain,
% 0.85/0.86 (P1(x2401,f3(a1,x2401))),
% 0.85/0.86 inference(rename_variables,[],[17])).
% 0.85/0.86 cnf(242,plain,
% 0.85/0.86 (P1(f3(f3(a1,a1),f3(a1,x2421)),x2421)),
% 0.85/0.86 inference(scs_inference,[],[17,25,200,12,6])).
% 0.85/0.86 cnf(244,plain,
% 0.85/0.86 (P2(f3(f3(a1,a1),f2(x2441)),x2441,f3(a1,a1))),
% 0.85/0.86 inference(scs_inference,[],[17,240,25,146,200,12,6,11])).
% 0.85/0.86 cnf(247,plain,
% 0.85/0.86 (~P2(f3(a1,f4(x2471)),f3(a1,x2471),f4(x2471))),
% 0.85/0.86 inference(scs_inference,[],[17,240,25,120,212,146,200,12,6,11,13])).
% 0.85/0.86 cnf(257,plain,
% 0.85/0.86 (P1(f3(f3(a1,x2571),x2572),f3(x2571,x2572))),
% 0.85/0.86 inference(rename_variables,[],[185])).
% 0.85/0.86 cnf(259,plain,
% 0.85/0.86 (P2(a1,f3(f2(a1),a1),a1)),
% 0.85/0.86 inference(scs_inference,[],[25,30,185,196,12,16])).
% 0.85/0.86 cnf(263,plain,
% 0.85/0.86 (P2(f3(a1,f2(x2631)),x2631,f3(a1,a1))),
% 0.85/0.86 inference(scs_inference,[],[25,30,244,185,257,196,12,16,13])).
% 0.85/0.86 cnf(266,plain,
% 0.85/0.86 (~P2(f2(a1),f4(x2661),f3(f4(x2661),x2661))),
% 0.85/0.86 inference(scs_inference,[],[25,30,42,244,185,257,135,196,12,16,13,14])).
% 0.85/0.86 cnf(271,plain,
% 0.85/0.86 (P1(f3(x2711,f3(a1,x2712)),f3(x2711,x2712))),
% 0.85/0.86 inference(rename_variables,[],[187])).
% 0.85/0.86 cnf(273,plain,
% 0.85/0.86 (P2(f3(f3(a1,a1),x2731),x2732,f3(x2731,x2732))),
% 0.85/0.86 inference(scs_inference,[],[209,187,271,266,11,13])).
% 0.85/0.86 cnf(277,plain,
% 0.85/0.86 (P1(f3(f2(a1),x2771),f3(a1,x2771))),
% 0.85/0.86 inference(scs_inference,[],[209,187,271,217,266,176,11,13,14])).
% 0.85/0.86 cnf(291,plain,
% 0.85/0.86 (P2(f3(f3(a1,a1),x2911),x2912,f3(x2911,x2912))),
% 0.85/0.86 inference(rename_variables,[],[273])).
% 0.85/0.86 cnf(293,plain,
% 0.85/0.86 (P2(a1,f2(a1),a1)),
% 0.85/0.86 inference(scs_inference,[],[30,49,273,242,92,135,12,11,15])).
% 0.85/0.86 cnf(294,plain,
% 0.85/0.86 (P2(f2(a1),x2941,x2941)),
% 0.85/0.86 inference(rename_variables,[],[135])).
% 0.85/0.86 cnf(305,plain,
% 0.85/0.86 (P1(f3(a1,x3051),f3(f2(a1),x3051))),
% 0.85/0.86 inference(scs_inference,[],[30,49,42,273,291,242,277,92,166,153,135,294,12,11,15,16,14,6])).
% 0.85/0.86 cnf(312,plain,
% 0.85/0.86 (P2(f3(a1,x3121),f3(f2(a1),a1),f3(a1,x3121))),
% 0.85/0.86 inference(scs_inference,[],[49,189,172,206,259,293,12,11,15])).
% 0.85/0.86 cnf(320,plain,
% 0.85/0.86 (P1(f3(f2(x3201),x3201),f3(a1,a1))),
% 0.85/0.86 inference(scs_inference,[],[30,49,189,263,305,172,206,259,293,273,244,92,12,11,15,13,16,14])).
% 0.85/0.86 cnf(341,plain,
% 0.85/0.86 (P2(f3(a1,x3411),f3(a1,a1),f3(a1,x3411))),
% 0.85/0.86 inference(scs_inference,[],[49,320,312,65,8,12])).
% 0.85/0.87 cnf(380,plain,
% 0.85/0.87 ($false),
% 0.85/0.87 inference(scs_inference,[],[65,341,247,11]),
% 0.85/0.87 ['proof']).
% 0.85/0.87 % SZS output end Proof
% 0.85/0.87 % Total time :0.230000s
%------------------------------------------------------------------------------