TSTP Solution File: RNG006-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG006-2 : 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 : n003.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 13:47:39 EDT 2023
% Result : Unsatisfiable 0.65s 0.73s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : RNG006-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 03:00:39 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.59 start to proof:theBenchmark
% 0.65/0.72 %-------------------------------------------
% 0.65/0.72 % File :CSE---1.6
% 0.65/0.72 % Problem :theBenchmark
% 0.65/0.72 % Transform :cnf
% 0.65/0.72 % Format :tptp:raw
% 0.65/0.72 % Command :java -jar mcs_scs.jar %d %s
% 0.65/0.72
% 0.65/0.72 % Result :Theorem 0.070000s
% 0.65/0.72 % Output :CNFRefutation 0.070000s
% 0.65/0.72 %-------------------------------------------
% 0.65/0.72 %--------------------------------------------------------------------------
% 0.65/0.72 % File : RNG006-2 : TPTP v8.1.2. Released v1.0.0.
% 0.65/0.72 % Domain : Ring Theory
% 0.65/0.72 % Problem : X*(Y+ -Z) = (X*Y) + -(X*Z)
% 0.65/0.72 % Version : [Wos65] axioms : Reduced & Augmented > Incomplete.
% 0.65/0.72 % English :
% 0.65/0.72
% 0.65/0.72 % Refs : [Wos65] Wos (1965), Unpublished Note
% 0.65/0.72 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.65/0.72 % Source : [SPRFN]
% 0.65/0.72 % Names : Problem 25 [Wos65]
% 0.65/0.72 % : wos25 [WM76]
% 0.65/0.72
% 0.65/0.72 % Status : Unsatisfiable
% 0.65/0.72 % Rating : 0.14 v8.1.0, 0.00 v7.4.0, 0.17 v7.3.0, 0.00 v6.1.0, 0.14 v6.0.0, 0.22 v5.5.0, 0.06 v5.4.0, 0.11 v5.3.0, 0.25 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.14 v3.4.0, 0.20 v3.3.0, 0.00 v2.7.0, 0.12 v2.6.0, 0.14 v2.4.0, 0.14 v2.3.0, 0.29 v2.2.1, 0.33 v2.2.0, 0.22 v2.1.0, 0.14 v2.0.0
% 0.65/0.72 % Syntax : Number of clauses : 36 ( 13 unt; 0 nHn; 26 RR)
% 0.65/0.72 % Number of literals : 87 ( 0 equ; 52 neg)
% 0.65/0.72 % Maximal clause size : 5 ( 2 avg)
% 0.65/0.72 % Maximal term depth : 2 ( 1 avg)
% 0.65/0.72 % Number of predicates : 3 ( 3 usr; 0 prp; 2-3 aty)
% 0.65/0.72 % Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% 0.65/0.72 % Number of variables : 114 ( 2 sgn)
% 0.65/0.72 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.65/0.72
% 0.65/0.72 % Comments : These are the same axioms as in [MOW76].
% 0.65/0.72 %--------------------------------------------------------------------------
% 0.65/0.72 %----Include ring theory axioms
% 0.65/0.72 %include('Axioms/RNG001-0.ax').
% 0.65/0.72 %--------------------------------------------------------------------------
% 0.65/0.72 %----Equality axioms for additive operator
% 0.65/0.72 cnf(additive_inverse_substitution,axiom,
% 0.65/0.72 ( ~ equalish(X,Y)
% 0.65/0.72 | equalish(additive_inverse(X),additive_inverse(Y)) ) ).
% 0.65/0.72
% 0.65/0.72 cnf(add_substitution1,axiom,
% 0.65/0.72 ( ~ equalish(X,Y)
% 0.65/0.72 | equalish(add(X,W),add(Y,W)) ) ).
% 0.65/0.72
% 0.65/0.72 %----This axiom omited in this version
% 0.65/0.72 %input_clause(add_substitution2,axiom,
% 0.65/0.72 % [--equalish(X,Y),
% 0.65/0.72 % ++equalish(add(W,X),add(W,Y))]).
% 0.65/0.72
% 0.65/0.72 cnf(sum_substitution1,axiom,
% 0.65/0.72 ( ~ equalish(X,Y)
% 0.65/0.72 | ~ sum(X,W,Z)
% 0.65/0.72 | sum(Y,W,Z) ) ).
% 0.65/0.72
% 0.65/0.72 cnf(sum_substitution2,axiom,
% 0.65/0.72 ( ~ equalish(X,Y)
% 0.65/0.72 | ~ sum(W,X,Z)
% 0.65/0.72 | sum(W,Y,Z) ) ).
% 0.65/0.72
% 0.65/0.72 cnf(sum_substitution3,axiom,
% 0.65/0.72 ( ~ equalish(X,Y)
% 0.65/0.72 | ~ sum(W,Z,X)
% 0.65/0.72 | sum(W,Z,Y) ) ).
% 0.65/0.72
% 0.65/0.72 %----Equality axioms for multiplicative operator
% 0.65/0.72 cnf(multiply_substitution1,axiom,
% 0.65/0.72 ( ~ equalish(X,Y)
% 0.65/0.72 | equalish(multiply(X,W),multiply(Y,W)) ) ).
% 0.65/0.72
% 0.65/0.72 %----This axiom omited in this version
% 0.65/0.72 %input_clause(multiply_substitution2,axiom,
% 0.65/0.72 % [--equalish(X,Y),
% 0.65/0.72 % ++equalish(multiply(W,X),multiply(W,Y))]).
% 0.65/0.72
% 0.65/0.72 cnf(product_substitution1,axiom,
% 0.65/0.72 ( ~ equalish(X,Y)
% 0.65/0.72 | ~ product(X,W,Z)
% 0.65/0.72 | product(Y,W,Z) ) ).
% 0.65/0.72
% 0.65/0.72 cnf(product_substitution2,axiom,
% 0.65/0.72 ( ~ equalish(X,Y)
% 0.65/0.72 | ~ product(W,X,Z)
% 0.65/0.72 | product(W,Y,Z) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(product_substitution3,axiom,
% 0.65/0.73 ( ~ equalish(X,Y)
% 0.65/0.73 | ~ product(W,Z,X)
% 0.65/0.73 | product(W,Z,Y) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(additive_identity1,axiom,
% 0.65/0.73 sum(additive_identity,X,X) ).
% 0.65/0.73
% 0.65/0.73 cnf(additive_identity2,axiom,
% 0.65/0.73 sum(X,additive_identity,X) ).
% 0.65/0.73
% 0.65/0.73 cnf(closure_of_multiplication,axiom,
% 0.65/0.73 product(X,Y,multiply(X,Y)) ).
% 0.65/0.73
% 0.65/0.73 cnf(closure_of_addition,axiom,
% 0.65/0.73 sum(X,Y,add(X,Y)) ).
% 0.65/0.73
% 0.65/0.73 cnf(left_inverse,axiom,
% 0.65/0.73 sum(additive_inverse(X),X,additive_identity) ).
% 0.65/0.73
% 0.65/0.73 cnf(right_inverse,axiom,
% 0.65/0.73 sum(X,additive_inverse(X),additive_identity) ).
% 0.65/0.73
% 0.65/0.73 cnf(associativity_of_addition1,axiom,
% 0.65/0.73 ( ~ sum(X,Y,U)
% 0.65/0.73 | ~ sum(Y,Z,V)
% 0.65/0.73 | ~ sum(U,Z,W)
% 0.65/0.73 | sum(X,V,W) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(associativity_of_addition2,axiom,
% 0.65/0.73 ( ~ sum(X,Y,U)
% 0.65/0.73 | ~ sum(Y,Z,V)
% 0.65/0.73 | ~ sum(X,V,W)
% 0.65/0.73 | sum(U,Z,W) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(commutativity_of_addition,axiom,
% 0.65/0.73 ( ~ sum(X,Y,Z)
% 0.65/0.73 | sum(Y,X,Z) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(associativity_of_multiplication1,axiom,
% 0.65/0.73 ( ~ product(X,Y,U)
% 0.65/0.73 | ~ product(Y,Z,V)
% 0.65/0.73 | ~ product(U,Z,W)
% 0.65/0.73 | product(X,V,W) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(associativity_of_multiplication2,axiom,
% 0.65/0.73 ( ~ product(X,Y,U)
% 0.65/0.73 | ~ product(Y,Z,V)
% 0.65/0.73 | ~ product(X,V,W)
% 0.65/0.73 | product(U,Z,W) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(distributivity1,axiom,
% 0.65/0.73 ( ~ product(X,Y,V1)
% 0.65/0.73 | ~ product(X,Z,V2)
% 0.65/0.73 | ~ sum(Y,Z,V3)
% 0.65/0.73 | ~ product(X,V3,V4)
% 0.65/0.73 | sum(V1,V2,V4) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(distributivity2,axiom,
% 0.65/0.73 ( ~ product(X,Y,V1)
% 0.65/0.73 | ~ product(X,Z,V2)
% 0.65/0.73 | ~ sum(Y,Z,V3)
% 0.65/0.73 | ~ sum(V1,V2,V4)
% 0.65/0.73 | product(X,V3,V4) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(distributivity3,axiom,
% 0.65/0.73 ( ~ product(Y,X,V1)
% 0.65/0.73 | ~ product(Z,X,V2)
% 0.65/0.73 | ~ sum(Y,Z,V3)
% 0.65/0.73 | ~ product(V3,X,V4)
% 0.65/0.73 | sum(V1,V2,V4) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(distributivity4,axiom,
% 0.65/0.73 ( ~ product(Y,X,V1)
% 0.65/0.73 | ~ product(Z,X,V2)
% 0.65/0.73 | ~ sum(Y,Z,V3)
% 0.65/0.73 | ~ sum(V1,V2,V4)
% 0.65/0.73 | product(V3,X,V4) ) ).
% 0.65/0.73
% 0.65/0.73 %-----Equality axioms for operators
% 0.65/0.73 cnf(addition_is_well_defined,axiom,
% 0.65/0.73 ( ~ sum(X,Y,U)
% 0.65/0.73 | ~ sum(X,Y,V)
% 0.65/0.73 | equalish(U,V) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(multiplication_is_well_defined,axiom,
% 0.65/0.73 ( ~ product(X,Y,U)
% 0.65/0.73 | ~ product(X,Y,V)
% 0.65/0.73 | equalish(U,V) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(multiplicative_identity1,axiom,
% 0.65/0.73 product(additive_identity,X,additive_identity) ).
% 0.65/0.73
% 0.65/0.73 cnf(multiplicative_identity2,axiom,
% 0.65/0.73 product(X,additive_identity,additive_identity) ).
% 0.65/0.73
% 0.65/0.73 cnf(product_lemma1,axiom,
% 0.65/0.73 ( ~ product(A,B,C)
% 0.65/0.73 | product(A,additive_inverse(B),additive_inverse(C)) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(product_lemma2,axiom,
% 0.65/0.73 ( ~ product(A,B,C)
% 0.65/0.73 | product(additive_inverse(A),B,additive_inverse(C)) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(product_lemma3,axiom,
% 0.65/0.73 ( ~ product(A,B,C)
% 0.65/0.73 | product(additive_inverse(A),additive_inverse(B),C) ) ).
% 0.65/0.73
% 0.65/0.73 cnf(b_plus_inverse_c,hypothesis,
% 0.65/0.73 sum(b,additive_inverse(c),bS_Ic) ).
% 0.65/0.73
% 0.65/0.73 cnf(a_times_b,hypothesis,
% 0.65/0.73 product(a,b,aPb) ).
% 0.65/0.73
% 0.65/0.73 cnf(a_times_c,hypothesis,
% 0.65/0.73 product(a,c,aPc) ).
% 0.65/0.73
% 0.65/0.73 cnf(aPb_plus_IaPc,hypothesis,
% 0.65/0.73 sum(aPb,additive_inverse(aPc),aPb_S_IaPc) ).
% 0.65/0.73
% 0.65/0.73 cnf(prove_a_times_bS_Ic_is_aPb_S__IaPc,negated_conjecture,
% 0.65/0.73 ~ product(a,bS_Ic,aPb_S_IaPc) ).
% 0.65/0.73
% 0.65/0.73 %--------------------------------------------------------------------------
% 0.65/0.73 %-------------------------------------------
% 0.65/0.73 % Proof found
% 0.65/0.73 % SZS status Theorem for theBenchmark
% 0.65/0.73 % SZS output start Proof
% 0.65/0.73 %ClaNum:36(EqnAxiom:0)
% 0.65/0.73 %VarNum:230(SingletonVarNum:114)
% 0.65/0.73 %MaxLitNum:5
% 0.65/0.73 %MaxfuncDepth:1
% 0.65/0.73 %SharedTerms:15
% 0.65/0.73 %goalClause: 13
% 0.65/0.73 %singleGoalClaCount:1
% 0.65/0.73 [1]P1(a1,a2,a3)
% 0.65/0.73 [2]P1(a1,a9,a4)
% 0.65/0.73 [13]~P1(a1,a10,a5)
% 0.65/0.73 [7]P3(a2,f8(a9),a10)
% 0.65/0.73 [8]P3(a3,f8(a4),a5)
% 0.65/0.73 [3]P1(x31,a6,a6)
% 0.65/0.73 [4]P1(a6,x41,a6)
% 0.65/0.73 [5]P3(x51,a6,x51)
% 0.65/0.73 [6]P3(a6,x61,x61)
% 0.65/0.73 [9]P3(x91,f8(x91),a6)
% 0.65/0.73 [10]P3(f8(x101),x101,a6)
% 0.65/0.73 [11]P3(x111,x112,f7(x111,x112))
% 0.65/0.73 [12]P1(x121,x122,f11(x121,x122))
% 0.65/0.73 [14]~P2(x141,x142)+P2(f8(x141),f8(x142))
% 0.65/0.73 [17]~P3(x172,x171,x173)+P3(x171,x172,x173)
% 0.65/0.73 [15]~P2(x151,x153)+P2(f7(x151,x152),f7(x153,x152))
% 0.65/0.73 [16]~P2(x161,x163)+P2(f11(x161,x162),f11(x163,x162))
% 0.65/0.73 [18]~P1(x181,x182,x183)+P1(x181,f8(x182),f8(x183))
% 0.65/0.73 [19]~P1(x191,x192,x193)+P1(f8(x191),x192,f8(x193))
% 0.65/0.73 [20]~P1(x201,x202,x203)+P1(f8(x201),f8(x202),x203)
% 0.65/0.73 [21]~P3(x211,x212,x214)+P3(x211,x212,x213)+~P2(x214,x213)
% 0.65/0.73 [22]~P3(x221,x224,x223)+P3(x221,x222,x223)+~P2(x224,x222)
% 0.65/0.73 [23]~P3(x234,x232,x233)+P3(x231,x232,x233)+~P2(x234,x231)
% 0.65/0.73 [24]~P1(x241,x242,x244)+P1(x241,x242,x243)+~P2(x244,x243)
% 0.65/0.73 [25]~P1(x251,x254,x253)+P1(x251,x252,x253)+~P2(x254,x252)
% 0.65/0.73 [26]~P1(x264,x262,x263)+P1(x261,x262,x263)+~P2(x264,x261)
% 0.65/0.73 [27]~P3(x273,x274,x271)+P2(x271,x272)+~P3(x273,x274,x272)
% 0.65/0.73 [28]~P1(x283,x284,x281)+P2(x281,x282)+~P1(x283,x284,x282)
% 0.65/0.73 [29]~P3(x296,x294,x291)+P3(x291,x292,x293)+~P3(x294,x292,x295)+~P3(x296,x295,x293)
% 0.65/0.73 [30]~P3(x301,x306,x304)+P3(x301,x302,x303)+~P3(x304,x305,x303)+~P3(x306,x305,x302)
% 0.65/0.73 [31]~P1(x316,x314,x311)+P1(x311,x312,x313)+~P1(x314,x312,x315)+~P1(x316,x315,x313)
% 0.65/0.73 [32]~P1(x321,x326,x324)+P1(x321,x322,x323)+~P1(x324,x325,x323)+~P1(x326,x325,x322)
% 0.65/0.73 [33]~P1(x337,x335,x332)+~P1(x337,x334,x331)+P3(x331,x332,x333)+~P3(x334,x335,x336)+~P1(x337,x336,x333)
% 0.65/0.73 [34]~P1(x345,x347,x342)+~P1(x344,x347,x341)+P3(x341,x342,x343)+~P3(x344,x345,x346)+~P1(x346,x347,x343)
% 0.65/0.73 [35]~P1(x357,x352,x355)+~P1(x356,x352,x354)+P1(x351,x352,x353)+~P3(x354,x355,x353)+~P3(x356,x357,x351)
% 0.65/0.73 [36]~P1(x361,x367,x365)+~P1(x361,x366,x364)+P1(x361,x362,x363)+~P3(x364,x365,x363)+~P3(x366,x367,x362)
% 0.65/0.73 %EqnAxiom
% 0.65/0.73
% 0.65/0.73 %-------------------------------------------
% 0.65/0.73 cnf(39,plain,
% 0.65/0.73 (P1(a6,a3,f11(a6,a2))),
% 0.65/0.73 inference(scs_inference,[],[5,3,4,1,12,28,27,32])).
% 0.65/0.73 cnf(41,plain,
% 0.65/0.73 (P1(x411,x412,f11(x411,x412))),
% 0.65/0.73 inference(rename_variables,[],[12])).
% 0.65/0.73 cnf(44,plain,
% 0.65/0.73 (P3(x441,x442,f7(x441,x442))),
% 0.65/0.73 inference(rename_variables,[],[11])).
% 0.65/0.73 cnf(47,plain,
% 0.65/0.73 (P3(x471,x472,f7(x471,x472))),
% 0.65/0.73 inference(rename_variables,[],[11])).
% 0.65/0.73 cnf(48,plain,
% 0.65/0.73 (P3(x481,a6,x481)),
% 0.65/0.73 inference(rename_variables,[],[5])).
% 0.65/0.73 cnf(51,plain,
% 0.65/0.73 (P1(x511,x512,f11(x511,x512))),
% 0.65/0.73 inference(rename_variables,[],[12])).
% 0.65/0.73 cnf(53,plain,
% 0.65/0.73 (P1(x531,a6,a6)),
% 0.65/0.73 inference(rename_variables,[],[3])).
% 0.65/0.73 cnf(54,plain,
% 0.65/0.73 (P3(x541,a6,x541)),
% 0.65/0.73 inference(rename_variables,[],[5])).
% 0.65/0.73 cnf(57,plain,
% 0.65/0.73 (P1(x571,x572,f11(x571,x572))),
% 0.65/0.73 inference(rename_variables,[],[12])).
% 0.65/0.73 cnf(58,plain,
% 0.65/0.73 (P3(x581,a6,x581)),
% 0.65/0.73 inference(rename_variables,[],[5])).
% 0.65/0.73 cnf(66,plain,
% 0.65/0.73 (P1(x661,f8(a6),f8(a6))),
% 0.65/0.73 inference(scs_inference,[],[5,48,54,3,53,4,1,7,11,44,12,41,51,28,27,32,30,36,34,33,17,20,19,18])).
% 0.65/0.73 cnf(70,plain,
% 0.65/0.73 (~P2(f11(a1,a10),a5)),
% 0.65/0.73 inference(scs_inference,[],[13,5,48,54,3,53,4,1,7,11,44,12,41,51,57,28,27,32,30,36,34,33,17,20,19,18,26,24])).
% 0.65/0.73 cnf(78,plain,
% 0.65/0.73 (P1(f11(a6,a6),a6,f11(a6,a6))),
% 0.65/0.73 inference(scs_inference,[],[13,5,48,54,58,3,53,4,1,7,11,44,47,12,41,51,57,28,27,32,30,36,34,33,17,20,19,18,26,24,29,35])).
% 0.65/0.73 cnf(88,plain,
% 0.65/0.73 (P1(x881,f8(a6),f8(a6))),
% 0.65/0.73 inference(rename_variables,[],[66])).
% 0.65/0.73 cnf(89,plain,
% 0.65/0.73 (P1(a6,x891,a6)),
% 0.65/0.73 inference(rename_variables,[],[4])).
% 0.65/0.73 cnf(92,plain,
% 0.65/0.73 (P1(a6,x921,a6)),
% 0.65/0.73 inference(rename_variables,[],[4])).
% 0.65/0.73 cnf(93,plain,
% 0.65/0.73 (P3(x931,x932,f7(x931,x932))),
% 0.65/0.73 inference(rename_variables,[],[11])).
% 0.65/0.73 cnf(94,plain,
% 0.65/0.73 (P3(x941,a6,x941)),
% 0.65/0.73 inference(rename_variables,[],[5])).
% 0.65/0.73 cnf(97,plain,
% 0.65/0.73 (P3(x971,x972,f7(x971,x972))),
% 0.65/0.73 inference(rename_variables,[],[11])).
% 0.65/0.73 cnf(98,plain,
% 0.65/0.73 (P1(x981,x982,f11(x981,x982))),
% 0.65/0.73 inference(rename_variables,[],[12])).
% 0.65/0.73 cnf(101,plain,
% 0.65/0.73 (P3(x1011,x1012,f7(x1011,x1012))),
% 0.65/0.73 inference(rename_variables,[],[11])).
% 0.65/0.73 cnf(102,plain,
% 0.65/0.73 (P1(x1021,x1022,f11(x1021,x1022))),
% 0.65/0.73 inference(rename_variables,[],[12])).
% 0.65/0.73 cnf(105,plain,
% 0.65/0.73 (P1(x1051,x1052,f11(x1051,x1052))),
% 0.65/0.73 inference(rename_variables,[],[12])).
% 0.65/0.73 cnf(109,plain,
% 0.65/0.73 (P1(a6,x1091,a6)),
% 0.65/0.73 inference(rename_variables,[],[4])).
% 0.65/0.73 cnf(110,plain,
% 0.65/0.73 (P1(x1101,x1102,f11(x1101,x1102))),
% 0.65/0.73 inference(rename_variables,[],[12])).
% 0.65/0.73 cnf(111,plain,
% 0.65/0.73 (P3(x1111,x1112,f7(x1111,x1112))),
% 0.65/0.73 inference(rename_variables,[],[11])).
% 0.65/0.73 cnf(113,plain,
% 0.65/0.73 (~P3(a6,f11(a1,a10),a5)),
% 0.65/0.73 inference(scs_inference,[],[2,8,6,4,89,92,11,93,97,101,12,98,102,105,5,3,66,70,39,28,35,34,33,32,36,27])).
% 0.65/0.73 cnf(120,plain,
% 0.65/0.73 (P1(x1201,x1202,f11(x1201,x1202))),
% 0.65/0.73 inference(rename_variables,[],[12])).
% 0.65/0.73 cnf(124,plain,
% 0.65/0.73 (P3(x1241,x1242,f7(x1241,x1242))),
% 0.65/0.73 inference(rename_variables,[],[11])).
% 0.65/0.73 cnf(129,plain,
% 0.65/0.73 (~P2(f7(a6,f11(a1,a10)),a5)),
% 0.65/0.73 inference(scs_inference,[],[2,8,9,6,4,89,92,109,11,93,97,101,111,124,12,98,102,105,110,5,94,3,66,70,39,28,35,34,33,32,36,27,17,31,30,23,21])).
% 0.65/0.73 cnf(130,plain,
% 0.65/0.73 (P3(x1301,x1302,f7(x1301,x1302))),
% 0.65/0.73 inference(rename_variables,[],[11])).
% 0.65/0.73 cnf(132,plain,
% 0.65/0.73 (P1(a6,x1321,f11(f8(a6),x1321))),
% 0.65/0.73 inference(scs_inference,[],[2,8,9,6,4,89,92,109,11,93,97,101,111,124,12,98,102,105,110,120,5,94,3,66,70,39,28,35,34,33,32,36,27,17,31,30,23,21,26])).
% 0.65/0.73 cnf(140,plain,
% 0.65/0.73 (P2(f11(f8(a6),x1401),f11(a6,x1401))),
% 0.65/0.73 inference(scs_inference,[],[2,8,9,10,6,4,89,92,109,11,93,97,101,111,124,130,12,98,102,105,110,120,5,94,3,66,88,70,39,28,35,34,33,32,36,27,17,31,30,23,21,26,29,24,16])).
% 0.65/0.73 cnf(144,plain,
% 0.65/0.73 (P2(f8(f8(a6)),f8(a6))),
% 0.65/0.73 inference(scs_inference,[],[2,8,9,10,6,4,89,92,109,11,93,97,101,111,124,130,12,98,102,105,110,120,5,94,3,66,88,70,39,28,35,34,33,32,36,27,17,31,30,23,21,26,29,24,16,15,14])).
% 0.65/0.73 cnf(147,plain,
% 0.65/0.73 (P3(x1471,f8(x1471),a6)),
% 0.65/0.73 inference(rename_variables,[],[9])).
% 0.65/0.73 cnf(150,plain,
% 0.65/0.73 (P3(x1501,f8(x1501),a6)),
% 0.65/0.73 inference(rename_variables,[],[9])).
% 0.65/0.73 cnf(151,plain,
% 0.65/0.73 (P1(a6,x1511,a6)),
% 0.65/0.73 inference(rename_variables,[],[4])).
% 0.65/0.73 cnf(152,plain,
% 0.65/0.73 (P1(x1521,x1522,f11(x1521,x1522))),
% 0.65/0.73 inference(rename_variables,[],[12])).
% 0.65/0.73 cnf(153,plain,
% 0.65/0.73 (~P1(x1531,x1532,x1533)+P3(x1533,x1534,x1535)+~P3(x1531,x1536,x1537)+~P1(x1537,x1532,x1535)+~P1(x1536,x1532,x1534)),
% 0.65/0.73 inference(rename_variables,[],[34])).
% 0.65/0.73 cnf(154,plain,
% 0.65/0.73 (~P3(a3,f11(a1,f8(a9)),a5)),
% 0.65/0.73 inference(scs_inference,[],[1,7,9,147,4,12,152,144,13,22,34,36])).
% 0.65/0.73 cnf(155,plain,
% 0.65/0.73 (P1(x1551,x1552,f11(x1551,x1552))),
% 0.65/0.73 inference(rename_variables,[],[12])).
% 0.65/0.73 cnf(158,plain,
% 0.65/0.73 (P3(a6,x1581,x1581)),
% 0.65/0.73 inference(rename_variables,[],[6])).
% 0.65/0.73 cnf(159,plain,
% 0.65/0.73 (P3(x1591,f8(x1591),a6)),
% 0.65/0.73 inference(rename_variables,[],[9])).
% 0.65/0.73 cnf(162,plain,
% 0.65/0.73 (P1(a6,x1621,f11(f8(a6),x1621))),
% 0.65/0.73 inference(rename_variables,[],[132])).
% 0.65/0.73 cnf(163,plain,
% 0.65/0.73 (P3(a6,x1631,x1631)),
% 0.65/0.73 inference(rename_variables,[],[6])).
% 0.65/0.73 cnf(164,plain,
% 0.65/0.73 (P1(x1641,x1642,f11(x1641,x1642))),
% 0.65/0.73 inference(rename_variables,[],[12])).
% 0.65/0.73 cnf(167,plain,
% 0.65/0.73 (P3(x1671,f8(x1671),a6)),
% 0.65/0.73 inference(rename_variables,[],[9])).
% 0.65/0.73 cnf(168,plain,
% 0.65/0.73 (P1(x1681,x1682,f11(x1681,x1682))),
% 0.65/0.73 inference(rename_variables,[],[12])).
% 0.65/0.73 cnf(171,plain,
% 0.65/0.73 (P3(a6,x1711,x1711)),
% 0.65/0.73 inference(rename_variables,[],[6])).
% 0.65/0.73 cnf(179,plain,
% 0.65/0.73 (~P3(f8(a6),a5,f11(a1,a10))),
% 0.65/0.73 inference(scs_inference,[],[1,7,9,147,150,159,167,6,158,163,171,4,11,12,152,155,164,168,3,78,144,132,129,113,13,22,34,36,29,35,33,27,17,31,30])).
% 0.65/0.73 cnf(180,plain,
% 0.65/0.73 (P3(a6,x1801,x1801)),
% 0.65/0.73 inference(rename_variables,[],[6])).
% 0.65/0.73 cnf(181,plain,
% 0.65/0.73 (P3(x1811,f8(x1811),a6)),
% 0.65/0.73 inference(rename_variables,[],[9])).
% 0.65/0.73 cnf(193,plain,
% 0.65/0.73 (~P3(f8(f8(a6)),f11(a1,a10),a5)),
% 0.65/0.73 inference(scs_inference,[],[1,7,9,147,150,159,167,181,6,158,163,171,180,4,151,11,12,152,155,164,168,3,78,140,144,132,162,129,113,13,22,34,36,29,35,33,27,17,31,30,21,153,32,23])).
% 0.65/0.73 cnf(207,plain,
% 0.65/0.73 (P3(x2071,x2072,f7(x2071,x2072))),
% 0.65/0.73 inference(rename_variables,[],[11])).
% 0.65/0.73 cnf(210,plain,
% 0.65/0.73 (P1(x2101,x2102,f11(x2101,x2102))),
% 0.65/0.73 inference(rename_variables,[],[12])).
% 0.65/0.73 cnf(213,plain,
% 0.65/0.73 (P3(a6,x2131,x2131)),
% 0.65/0.73 inference(rename_variables,[],[6])).
% 0.65/0.73 cnf(220,plain,
% 0.65/0.73 (P3(x2201,x2202,f7(x2201,x2202))),
% 0.65/0.73 inference(rename_variables,[],[11])).
% 0.65/0.73 cnf(232,plain,
% 0.65/0.73 ($false),
% 0.65/0.73 inference(scs_inference,[],[1,10,7,9,6,213,4,11,207,220,12,210,8,2,193,179,154,13,22,21,28,27,36,29,31,17,30,18]),
% 0.65/0.73 ['proof']).
% 0.65/0.74 % SZS output end Proof
% 0.65/0.74 % Total time :0.070000s
%------------------------------------------------------------------------------