TSTP Solution File: RNG001-2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG001-2 : 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 13:47:35 EDT 2023
% Result : Unsatisfiable 0.70s 0.83s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG001-2 : 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
% 0.15/0.34 % Computer : n001.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun Aug 27 02:37:31 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.70/0.82 %-------------------------------------------
% 0.70/0.82 % File :CSE---1.6
% 0.70/0.82 % Problem :theBenchmark
% 0.70/0.82 % Transform :cnf
% 0.70/0.82 % Format :tptp:raw
% 0.70/0.82 % Command :java -jar mcs_scs.jar %d %s
% 0.70/0.82
% 0.70/0.82 % Result :Theorem 0.200000s
% 0.70/0.82 % Output :CNFRefutation 0.200000s
% 0.70/0.82 %-------------------------------------------
% 0.70/0.82 %--------------------------------------------------------------------------
% 0.70/0.82 % File : RNG001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.70/0.82 % Domain : Ring Theory
% 0.70/0.82 % Problem : X.additive_identity = additive_identity for any X
% 0.70/0.82 % Version : [LS74] axioms : Incomplete.
% 0.70/0.82 % English :
% 0.70/0.82
% 0.70/0.82 % Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% 0.70/0.82 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.70/0.82 % Source : [SPRFN]
% 0.70/0.82 % Names : ls37 [LS74]
% 0.70/0.82 % : ls37 [WM76]
% 0.70/0.82
% 0.70/0.82 % Status : Unsatisfiable
% 0.70/0.82 % Rating : 0.14 v8.1.0, 0.00 v7.4.0, 0.17 v7.3.0, 0.00 v6.2.0, 0.17 v6.1.0, 0.50 v6.0.0, 0.44 v5.5.0, 0.62 v5.4.0, 0.72 v5.3.0, 0.75 v5.2.0, 0.54 v5.1.0, 0.62 v5.0.0, 0.53 v4.1.0, 0.60 v4.0.1, 0.57 v3.4.0, 0.40 v3.3.0, 0.00 v3.2.0, 0.33 v2.7.0, 0.38 v2.6.0, 0.43 v2.4.0, 0.57 v2.3.0, 0.86 v2.2.1, 1.00 v2.1.0, 0.86 v2.0.0
% 0.70/0.82 % Syntax : Number of clauses : 18 ( 7 unt; 0 nHn; 12 RR)
% 0.70/0.82 % Number of literals : 51 ( 0 equ; 34 neg)
% 0.70/0.82 % Maximal clause size : 5 ( 2 avg)
% 0.70/0.82 % Maximal term depth : 2 ( 1 avg)
% 0.70/0.82 % Number of predicates : 3 ( 3 usr; 0 prp; 2-3 aty)
% 0.70/0.82 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.70/0.82 % Number of variables : 71 ( 0 sgn)
% 0.70/0.82 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.70/0.82
% 0.70/0.82 % Comments :
% 0.70/0.82 %--------------------------------------------------------------------------
% 0.70/0.82 %----Don't Include ring theory axioms
% 0.70/0.82 %include('Axioms/RNG001-0.ax').
% 0.70/0.82 %--------------------------------------------------------------------------
% 0.70/0.82 cnf(sum_substitution3,axiom,
% 0.70/0.82 ( ~ equalish(A,B)
% 0.70/0.82 | ~ sum(C,D,A)
% 0.70/0.82 | sum(C,D,B) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(additive_identity1,axiom,
% 0.70/0.82 sum(additive_identity,X,X) ).
% 0.70/0.82
% 0.70/0.82 cnf(additive_identity2,axiom,
% 0.70/0.82 sum(X,additive_identity,X) ).
% 0.70/0.82
% 0.70/0.82 cnf(closure_of_multiplication,axiom,
% 0.70/0.82 product(X,Y,multiply(X,Y)) ).
% 0.70/0.82
% 0.70/0.82 cnf(closure_of_addition,axiom,
% 0.70/0.82 sum(X,Y,add(X,Y)) ).
% 0.70/0.82
% 0.70/0.82 cnf(additive_inverse1,axiom,
% 0.70/0.82 sum(additive_inverse(X),X,additive_identity) ).
% 0.70/0.82
% 0.70/0.82 cnf(additive_inverse2,axiom,
% 0.70/0.82 sum(X,additive_inverse(X),additive_identity) ).
% 0.70/0.82
% 0.70/0.82 cnf(associativity_of_addition1,axiom,
% 0.70/0.82 ( ~ sum(X,Y,U)
% 0.70/0.82 | ~ sum(Y,Z,V)
% 0.70/0.82 | ~ sum(U,Z,W)
% 0.70/0.82 | sum(X,V,W) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(associativity_of_addition2,axiom,
% 0.70/0.82 ( ~ sum(X,Y,U)
% 0.70/0.82 | ~ sum(Y,Z,V)
% 0.70/0.82 | ~ sum(X,V,W)
% 0.70/0.82 | sum(U,Z,W) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(commutativity_of_addition,axiom,
% 0.70/0.82 ( ~ sum(X,Y,Z)
% 0.70/0.82 | sum(Y,X,Z) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(associativity_of_multiplication1,axiom,
% 0.70/0.82 ( ~ product(X,Y,U)
% 0.70/0.82 | ~ product(Y,Z,V)
% 0.70/0.82 | ~ product(U,Z,W)
% 0.70/0.82 | product(X,V,W) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(associativity_of_multiplication2,axiom,
% 0.70/0.82 ( ~ product(X,Y,U)
% 0.70/0.82 | ~ product(Y,Z,V)
% 0.70/0.82 | ~ product(X,V,W)
% 0.70/0.82 | product(U,Z,W) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(distributivity1,axiom,
% 0.70/0.82 ( ~ product(X,Y,V1)
% 0.70/0.82 | ~ product(X,Z,V2)
% 0.70/0.82 | ~ sum(Y,Z,V3)
% 0.70/0.82 | ~ product(X,V3,V4)
% 0.70/0.82 | sum(V1,V2,V4) ) ).
% 0.70/0.82
% 0.70/0.82 cnf(distributivity2,axiom,
% 0.70/0.82 ( ~ product(X,Y,V1)
% 0.70/0.83 | ~ product(X,Z,V2)
% 0.70/0.83 | ~ sum(Y,Z,V3)
% 0.70/0.83 | ~ sum(V1,V2,V4)
% 0.70/0.83 | product(X,V3,V4) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(distributivity3,axiom,
% 0.70/0.83 ( ~ product(Y,X,V1)
% 0.70/0.83 | ~ product(Z,X,V2)
% 0.70/0.83 | ~ sum(Y,Z,V3)
% 0.70/0.83 | ~ product(V3,X,V4)
% 0.70/0.83 | sum(V1,V2,V4) ) ).
% 0.70/0.83
% 0.70/0.83 cnf(distributivity4,axiom,
% 0.70/0.83 ( ~ product(Y,X,V1)
% 0.70/0.83 | ~ product(Z,X,V2)
% 0.70/0.83 | ~ sum(Y,Z,V3)
% 0.70/0.83 | ~ sum(V1,V2,V4)
% 0.70/0.83 | product(V3,X,V4) ) ).
% 0.70/0.83
% 0.70/0.83 %----Equality axioms for operators
% 0.70/0.83 cnf(addition_is_well_defined,axiom,
% 0.70/0.83 ( ~ sum(X,Y,U)
% 0.70/0.83 | ~ sum(X,Y,V)
% 0.70/0.83 | equalish(U,V) ) ).
% 0.70/0.83
% 0.70/0.83 %input_clause(multiplication_is_well_defined,axiom,
% 0.70/0.83 % [--product(X,Y,U),
% 0.70/0.83 % --product(X,Y,V),
% 0.70/0.83 % ++equalish(U,V)]).
% 0.70/0.83
% 0.70/0.83 cnf(theorem,negated_conjecture,
% 0.70/0.83 ~ product(a,additive_identity,additive_identity) ).
% 0.70/0.83
% 0.70/0.83 %--------------------------------------------------------------------------
% 0.70/0.83 %-------------------------------------------
% 0.70/0.83 % Proof found
% 0.70/0.83 % SZS status Theorem for theBenchmark
% 0.70/0.83 % SZS output start Proof
% 0.70/0.83 %ClaNum:18(EqnAxiom:0)
% 0.70/0.83 %VarNum:146(SingletonVarNum:71)
% 0.70/0.83 %MaxLitNum:5
% 0.70/0.83 %MaxfuncDepth:1
% 0.70/0.83 %SharedTerms:3
% 0.70/0.83 %goalClause: 7
% 0.70/0.83 %singleGoalClaCount:1
% 0.70/0.83 [7]~P2(a3,a1,a1)
% 0.70/0.83 [1]P1(x11,a1,x11)
% 0.70/0.83 [2]P1(a1,x21,x21)
% 0.70/0.83 [3]P1(x31,f4(x31),a1)
% 0.70/0.83 [4]P1(f4(x41),x41,a1)
% 0.70/0.83 [5]P1(x51,x52,f2(x51,x52))
% 0.70/0.83 [6]P2(x61,x62,f5(x61,x62))
% 0.70/0.83 [8]~P1(x82,x81,x83)+P1(x81,x82,x83)
% 0.70/0.83 [9]~P1(x91,x92,x94)+P1(x91,x92,x93)+~P3(x94,x93)
% 0.70/0.83 [10]~P1(x103,x104,x101)+P3(x101,x102)+~P1(x103,x104,x102)
% 0.70/0.83 [11]~P1(x116,x114,x111)+P1(x111,x112,x113)+~P1(x114,x112,x115)+~P1(x116,x115,x113)
% 0.70/0.83 [12]~P1(x121,x126,x124)+P1(x121,x122,x123)+~P1(x124,x125,x123)+~P1(x126,x125,x122)
% 0.70/0.83 [13]~P2(x136,x134,x131)+P2(x131,x132,x133)+~P2(x134,x132,x135)+~P2(x136,x135,x133)
% 0.70/0.83 [14]~P2(x141,x146,x144)+P2(x141,x142,x143)+~P2(x144,x145,x143)+~P2(x146,x145,x142)
% 0.70/0.83 [15]~P2(x157,x155,x152)+~P2(x157,x154,x151)+P1(x151,x152,x153)+~P1(x154,x155,x156)+~P2(x157,x156,x153)
% 0.70/0.83 [16]~P2(x165,x167,x162)+~P2(x164,x167,x161)+P1(x161,x162,x163)+~P1(x164,x165,x166)+~P2(x166,x167,x163)
% 0.70/0.83 [17]~P2(x177,x172,x175)+~P2(x176,x172,x174)+P2(x171,x172,x173)+~P1(x174,x175,x173)+~P1(x176,x177,x171)
% 0.70/0.83 [18]~P2(x181,x187,x185)+~P2(x181,x186,x184)+P2(x181,x182,x183)+~P1(x184,x185,x183)+~P1(x186,x187,x182)
% 0.70/0.83 %EqnAxiom
% 0.70/0.83
% 0.70/0.83 %-------------------------------------------
% 0.70/0.83 cnf(20,plain,
% 0.70/0.83 (P1(x201,f2(a1,a1),x201)),
% 0.70/0.83 inference(scs_inference,[],[1,5,10,12])).
% 0.70/0.83 cnf(21,plain,
% 0.70/0.83 (P1(x211,x212,f2(x211,x212))),
% 0.70/0.83 inference(rename_variables,[],[5])).
% 0.70/0.83 cnf(22,plain,
% 0.70/0.83 (P2(x221,a1,f2(f5(x221,a1),f5(x221,a1)))),
% 0.70/0.83 inference(scs_inference,[],[1,5,21,6,10,12,18])).
% 0.70/0.83 cnf(23,plain,
% 0.70/0.83 (P1(x231,x232,f2(x231,x232))),
% 0.70/0.83 inference(rename_variables,[],[5])).
% 0.70/0.83 cnf(24,plain,
% 0.70/0.83 (P1(x241,a1,x241)),
% 0.70/0.83 inference(rename_variables,[],[1])).
% 0.70/0.83 cnf(26,plain,
% 0.70/0.83 (P2(x261,x262,f5(x261,x262))),
% 0.70/0.83 inference(rename_variables,[],[6])).
% 0.70/0.83 cnf(28,plain,
% 0.70/0.83 (P2(a1,x281,f2(f5(a1,x281),f5(a1,x281)))),
% 0.70/0.83 inference(scs_inference,[],[1,24,5,21,23,6,26,10,12,18,17])).
% 0.70/0.83 cnf(29,plain,
% 0.70/0.83 (P1(x291,x292,f2(x291,x292))),
% 0.70/0.83 inference(rename_variables,[],[5])).
% 0.70/0.83 cnf(30,plain,
% 0.70/0.83 (P1(x301,a1,x301)),
% 0.70/0.83 inference(rename_variables,[],[1])).
% 0.70/0.83 cnf(32,plain,
% 0.70/0.83 (P2(x321,x322,f5(x321,x322))),
% 0.70/0.83 inference(rename_variables,[],[6])).
% 0.70/0.83 cnf(34,plain,
% 0.70/0.83 (P1(f5(a1,x341),f5(a1,x341),f5(a1,x341))),
% 0.70/0.83 inference(scs_inference,[],[1,24,30,5,21,23,6,26,32,10,12,18,17,16])).
% 0.70/0.83 cnf(37,plain,
% 0.70/0.83 (P2(x371,x372,f5(x371,x372))),
% 0.70/0.83 inference(rename_variables,[],[6])).
% 0.70/0.83 cnf(38,plain,
% 0.70/0.83 (P1(x381,a1,x381)),
% 0.70/0.83 inference(rename_variables,[],[1])).
% 0.70/0.83 cnf(40,plain,
% 0.70/0.83 (P1(f5(x401,a1),f5(x401,a1),f5(x401,a1))),
% 0.70/0.83 inference(scs_inference,[],[1,24,30,38,5,21,23,6,26,32,37,10,12,18,17,16,15])).
% 0.70/0.83 cnf(42,plain,
% 0.70/0.83 (P2(x421,x422,f5(x421,x422))),
% 0.70/0.83 inference(rename_variables,[],[6])).
% 0.70/0.83 cnf(43,plain,
% 0.70/0.83 (P2(x431,x432,f5(x431,x432))),
% 0.70/0.83 inference(rename_variables,[],[6])).
% 0.70/0.83 cnf(44,plain,
% 0.70/0.83 (P1(x441,a1,x441)),
% 0.70/0.83 inference(rename_variables,[],[1])).
% 0.70/0.83 cnf(46,plain,
% 0.70/0.83 (P1(x461,x462,f2(x462,x461))),
% 0.70/0.83 inference(scs_inference,[],[1,24,30,38,5,21,23,29,6,26,32,37,10,12,18,17,16,15,8])).
% 0.70/0.83 cnf(48,plain,
% 0.70/0.83 (~P3(f2(x481,x482),x483)+P1(x481,x482,x483)),
% 0.70/0.83 inference(scs_inference,[],[1,24,30,38,5,21,23,29,6,26,32,37,10,12,18,17,16,15,8,9])).
% 0.70/0.83 cnf(55,plain,
% 0.70/0.83 (P1(f2(a1,a1),a1,a1)),
% 0.70/0.83 inference(scs_inference,[],[1,24,30,38,44,5,21,23,29,6,26,32,37,43,42,10,12,18,17,16,15,8,9,13,11])).
% 0.70/0.83 cnf(63,plain,
% 0.70/0.83 (P2(f2(x631,x631),x632,f2(f5(x631,x632),f5(x631,x632)))),
% 0.70/0.83 inference(scs_inference,[],[5,6,46,17])).
% 0.70/0.83 cnf(64,plain,
% 0.70/0.83 (P1(x641,x642,f2(x641,x642))),
% 0.70/0.83 inference(rename_variables,[],[5])).
% 0.70/0.83 cnf(69,plain,
% 0.70/0.83 (P1(x691,f4(x691),a1)),
% 0.70/0.83 inference(rename_variables,[],[3])).
% 0.70/0.83 cnf(70,plain,
% 0.70/0.83 (P1(x701,x702,f2(x701,x702))),
% 0.70/0.83 inference(rename_variables,[],[5])).
% 0.70/0.83 cnf(72,plain,
% 0.70/0.83 (P3(f4(a1),a1)),
% 0.70/0.83 inference(scs_inference,[],[3,69,2,5,64,6,46,17,12,10])).
% 0.70/0.83 cnf(73,plain,
% 0.70/0.83 (P1(a1,x731,x731)),
% 0.70/0.83 inference(rename_variables,[],[2])).
% 0.70/0.83 cnf(76,plain,
% 0.70/0.83 (~P1(f5(a3,a1),f5(a3,a1),a1)),
% 0.70/0.83 inference(scs_inference,[],[7,3,69,2,73,5,64,6,46,17,12,10,18])).
% 0.70/0.83 cnf(77,plain,
% 0.70/0.83 (P1(a1,x771,x771)),
% 0.70/0.83 inference(rename_variables,[],[2])).
% 0.70/0.83 cnf(79,plain,
% 0.70/0.83 (P2(x791,x792,f5(x791,x792))),
% 0.70/0.83 inference(rename_variables,[],[6])).
% 0.70/0.83 cnf(81,plain,
% 0.70/0.83 (~P2(f2(a3,a3),a1,a1)),
% 0.70/0.83 inference(scs_inference,[],[7,3,69,2,73,5,64,70,6,79,46,17,12,10,18,16])).
% 0.70/0.83 cnf(82,plain,
% 0.70/0.83 (P2(x821,x822,f5(x821,x822))),
% 0.70/0.83 inference(rename_variables,[],[6])).
% 0.70/0.83 cnf(83,plain,
% 0.70/0.83 (P2(x831,x832,f5(x831,x832))),
% 0.70/0.83 inference(rename_variables,[],[6])).
% 0.70/0.83 cnf(86,plain,
% 0.70/0.83 (~P1(a1,f4(f5(a3,a1)),f5(a3,a1))),
% 0.70/0.83 inference(scs_inference,[],[7,3,69,4,2,73,77,5,64,70,6,79,46,17,12,10,18,16,11])).
% 0.70/0.83 cnf(91,plain,
% 0.70/0.83 (P2(x911,x912,f5(x911,x912))),
% 0.70/0.83 inference(rename_variables,[],[6])).
% 0.70/0.83 cnf(92,plain,
% 0.70/0.83 (P2(x921,x922,f5(x921,x922))),
% 0.70/0.83 inference(rename_variables,[],[6])).
% 0.70/0.83 cnf(93,plain,
% 0.70/0.83 (P2(x931,x932,f5(x931,x932))),
% 0.70/0.83 inference(rename_variables,[],[6])).
% 0.70/0.83 cnf(99,plain,
% 0.70/0.83 (~P1(f5(a3,a1),f5(a3,a1),f4(a1))),
% 0.70/0.83 inference(scs_inference,[],[7,3,69,4,2,73,77,5,64,70,6,79,83,92,91,82,93,46,17,12,10,18,16,11,14,13,9])).
% 0.70/0.83 cnf(101,plain,
% 0.70/0.83 (~P1(f4(f5(a3,a1)),a1,f5(a3,a1))),
% 0.70/0.83 inference(scs_inference,[],[7,3,69,4,2,73,77,5,64,70,6,79,83,92,91,82,93,46,17,12,10,18,16,11,14,13,9,8])).
% 0.70/0.83 cnf(103,plain,
% 0.70/0.83 (~P3(f2(f5(a3,a1),f5(a3,a1)),a1)),
% 0.70/0.83 inference(scs_inference,[],[7,3,69,4,2,73,77,5,64,70,6,79,83,92,91,82,93,46,17,12,10,18,16,11,14,13,9,8,48])).
% 0.70/0.83 cnf(109,plain,
% 0.70/0.83 (P1(x1091,a1,x1091)),
% 0.70/0.83 inference(rename_variables,[],[1])).
% 0.70/0.83 cnf(112,plain,
% 0.70/0.83 (~P3(f2(f5(a3,a1),f5(a3,a1)),f4(a1))),
% 0.70/0.83 inference(scs_inference,[],[1,4,5,99,101,12,9])).
% 0.70/0.83 cnf(113,plain,
% 0.70/0.83 (P1(x1131,x1132,f2(x1131,x1132))),
% 0.70/0.83 inference(rename_variables,[],[5])).
% 0.70/0.83 cnf(115,plain,
% 0.70/0.83 (~P1(f5(a1,a1),f2(f5(a3,a1),f5(a3,a1)),a1)),
% 0.70/0.83 inference(scs_inference,[],[1,4,2,5,6,63,99,101,81,12,9,17])).
% 0.70/0.83 cnf(117,plain,
% 0.70/0.83 (P2(x1171,x1172,f5(x1171,x1172))),
% 0.70/0.83 inference(rename_variables,[],[6])).
% 0.70/0.83 cnf(122,plain,
% 0.70/0.83 (P1(x1221,a1,x1221)),
% 0.70/0.83 inference(rename_variables,[],[1])).
% 0.70/0.83 cnf(128,plain,
% 0.70/0.83 (~P1(a1,a1,f2(f5(a3,a1),f5(a3,a1)))),
% 0.70/0.83 inference(scs_inference,[],[1,109,122,4,2,5,6,117,63,20,99,101,22,103,81,12,9,17,16,8,10])).
% 0.70/0.83 cnf(130,plain,
% 0.70/0.83 (P1(f2(f2(a1,a1),f2(a1,a1)),a1,a1)),
% 0.70/0.83 inference(scs_inference,[],[1,109,122,4,2,5,113,6,117,63,20,99,101,22,103,55,81,12,9,17,16,8,10,11])).
% 0.70/0.83 cnf(146,plain,
% 0.70/0.83 (P1(f2(f5(x1461,a1),f5(x1461,a1)),f5(x1461,a1),f5(x1461,a1))),
% 0.70/0.83 inference(scs_inference,[],[1,6,22,15])).
% 0.70/0.83 cnf(148,plain,
% 0.70/0.83 (P1(x1481,a1,x1481)),
% 0.70/0.83 inference(rename_variables,[],[1])).
% 0.70/0.83 cnf(152,plain,
% 0.70/0.83 (P3(x1521,f2(x1521,a1))),
% 0.70/0.83 inference(scs_inference,[],[1,148,5,6,22,15,10])).
% 0.70/0.83 cnf(155,plain,
% 0.70/0.83 (~P1(a1,f5(a3,a1),f4(f5(a3,a1)))),
% 0.70/0.83 inference(scs_inference,[],[1,148,3,5,6,76,22,15,10,11])).
% 0.70/0.83 cnf(182,plain,
% 0.70/0.83 (P1(x1821,x1822,f2(f2(x1821,x1822),a1))),
% 0.70/0.83 inference(scs_inference,[],[152,48])).
% 0.70/0.83 cnf(187,plain,
% 0.70/0.83 (P1(a1,x1871,x1871)),
% 0.70/0.83 inference(rename_variables,[],[2])).
% 0.70/0.83 cnf(188,plain,
% 0.70/0.83 (P1(f4(x1881),x1881,a1)),
% 0.70/0.83 inference(rename_variables,[],[4])).
% 0.70/0.83 cnf(191,plain,
% 0.70/0.83 (P1(a1,x1911,x1911)),
% 0.70/0.83 inference(rename_variables,[],[2])).
% 0.70/0.83 cnf(199,plain,
% 0.70/0.83 (~P1(f5(a1,a1),f2(f5(a3,a1),f5(a3,a1)),f4(a1))),
% 0.70/0.83 inference(scs_inference,[],[2,187,191,20,4,188,152,112,115,155,72,130,48,12,10,8,11,9])).
% 0.70/0.83 cnf(214,plain,
% 0.70/0.83 (~P1(f4(f5(a3,a1)),f2(a1,a1),f5(a3,a1))),
% 0.70/0.83 inference(scs_inference,[],[2,20,86,128,48,12])).
% 0.70/0.83 cnf(216,plain,
% 0.70/0.83 (P1(a1,x2161,x2161)),
% 0.70/0.83 inference(rename_variables,[],[2])).
% 0.70/0.83 cnf(219,plain,
% 0.70/0.83 (P1(a1,x2191,x2191)),
% 0.70/0.83 inference(rename_variables,[],[2])).
% 0.70/0.83 cnf(223,plain,
% 0.70/0.83 (~P1(a1,f4(a1),f2(f5(a3,a1),f5(a3,a1)))),
% 0.70/0.83 inference(scs_inference,[],[2,216,219,20,199,86,112,128,48,12,9,8,10])).
% 0.70/0.83 cnf(247,plain,
% 0.70/0.83 (~P1(f5(a3,a1),f5(a3,a1),f2(a1,a1))),
% 0.70/0.83 inference(scs_inference,[],[4,214,2,12])).
% 0.70/0.83 cnf(248,plain,
% 0.70/0.83 (P1(f4(x2481),x2481,a1)),
% 0.70/0.83 inference(rename_variables,[],[4])).
% 0.70/0.83 cnf(254,plain,
% 0.70/0.83 (P1(f4(x2541),x2541,a1)),
% 0.70/0.83 inference(rename_variables,[],[4])).
% 0.70/0.84 cnf(255,plain,
% 0.70/0.84 (P1(x2551,f2(a1,a1),x2551)),
% 0.70/0.84 inference(rename_variables,[],[20])).
% 0.70/0.84 cnf(258,plain,
% 0.70/0.84 (P1(x2581,f4(x2581),a1)),
% 0.70/0.84 inference(rename_variables,[],[3])).
% 0.70/0.84 cnf(262,plain,
% 0.70/0.84 (P1(x2621,f4(x2621),f2(a1,a1))),
% 0.70/0.84 inference(scs_inference,[],[3,258,20,255,4,248,254,214,182,152,2,12,8,10,11,9])).
% 0.70/0.84 cnf(278,plain,
% 0.70/0.84 (P1(x2781,f4(x2781),a1)),
% 0.70/0.84 inference(rename_variables,[],[3])).
% 0.70/0.84 cnf(282,plain,
% 0.70/0.84 (~P1(x2821,f4(x2821),f2(f5(a3,a1),f5(a3,a1)))),
% 0.70/0.84 inference(scs_inference,[],[3,278,20,223,2,12,9,8,10])).
% 0.70/0.84 cnf(381,plain,
% 0.70/0.84 (P1(x3811,x3812,f2(x3811,x3812))),
% 0.70/0.84 inference(rename_variables,[],[5])).
% 0.70/0.84 cnf(384,plain,
% 0.70/0.84 (P2(f2(a1,a1),x3841,f5(a1,x3841))),
% 0.70/0.84 inference(scs_inference,[],[5,381,34,20,6,282,12,17])).
% 0.70/0.84 cnf(401,plain,
% 0.70/0.84 (~P3(f5(a3,a1),f2(a1,a1))),
% 0.70/0.84 inference(scs_inference,[],[40,247,9])).
% 0.70/0.84 cnf(446,plain,
% 0.70/0.84 (~P1(f5(a3,a1),f2(a1,a1),f2(a1,a1))),
% 0.70/0.84 inference(scs_inference,[],[40,20,401,3,12,10])).
% 0.70/0.84 cnf(474,plain,
% 0.70/0.84 ($false),
% 0.70/0.84 inference(scs_inference,[],[40,46,28,446,146,384,262,17,12]),
% 0.70/0.84 ['proof']).
% 0.70/0.84 % SZS output end Proof
% 0.70/0.84 % Total time :0.200000s
%------------------------------------------------------------------------------