TSTP Solution File: GRP295-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GRP295-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:39:36 EDT 2023

% Result   : Unsatisfiable 0.17s 0.59s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   48
%            Number of leaves      :   28
% Syntax   : Number of clauses     :  192 (  23 unt; 165 nHn; 170 RR)
%            Number of literals    :  427 ( 426 equ;  52 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   50 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(associativity,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',associativity) ).

cnf(left_inverse,axiom,
    multiply(inverse(X1),X1) = identity,
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',left_inverse) ).

cnf(left_identity,axiom,
    multiply(identity,X1) = X1,
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',left_identity) ).

cnf(prove_this_1,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_1) ).

cnf(prove_this_4,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_4) ).

cnf(prove_this_16,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_16) ).

cnf(prove_this_19,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_19) ).

cnf(prove_this_5,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_5) ).

cnf(prove_this_20,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_20) ).

cnf(prove_this_31,negated_conjecture,
    ( multiply(sk_c7,sk_c6) != sk_c5
    | multiply(X1,sk_c7) != sk_c6
    | inverse(X1) != sk_c7
    | multiply(sk_c7,sk_c5) != sk_c6
    | multiply(X2,sk_c7) != sk_c5
    | inverse(X2) != sk_c7
    | multiply(sk_c6,sk_c7) != sk_c5
    | inverse(X3) != sk_c7
    | multiply(X3,sk_c6) != sk_c7
    | inverse(X4) != sk_c6
    | multiply(X4,sk_c5) != sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_31) ).

cnf(prove_this_11,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_11) ).

cnf(prove_this_14,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_14) ).

cnf(prove_this_15,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_15) ).

cnf(prove_this_27,negated_conjecture,
    ( inverse(sk_c2) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_27) ).

cnf(prove_this_12,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_12) ).

cnf(prove_this_13,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_13) ).

cnf(prove_this_22,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c5
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_22) ).

cnf(prove_this_7,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_7) ).

cnf(prove_this_29,negated_conjecture,
    ( inverse(sk_c2) = sk_c7
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_29) ).

cnf(prove_this_26,negated_conjecture,
    ( inverse(sk_c2) = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_26) ).

cnf(prove_this_30,negated_conjecture,
    ( inverse(sk_c2) = sk_c7
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_30) ).

cnf(prove_this_8,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_8) ).

cnf(prove_this_25,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c5
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_25) ).

cnf(prove_this_10,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_10) ).

cnf(prove_this_24,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c5
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_24) ).

cnf(prove_this_17,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_17) ).

cnf(prove_this_18,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_18) ).

cnf(prove_this_9,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p',prove_this_9) ).

cnf(c_0_28,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    associativity ).

cnf(c_0_29,axiom,
    multiply(inverse(X1),X1) = identity,
    left_inverse ).

cnf(c_0_30,axiom,
    multiply(identity,X1) = X1,
    left_identity ).

cnf(c_0_31,plain,
    multiply(inverse(X1),multiply(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_32,plain,
    multiply(inverse(inverse(X1)),identity) = X1,
    inference(spm,[status(thm)],[c_0_31,c_0_29]) ).

cnf(c_0_33,plain,
    multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
    inference(spm,[status(thm)],[c_0_31,c_0_31]) ).

cnf(c_0_34,plain,
    multiply(X1,identity) = X1,
    inference(rw,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_35,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    prove_this_1 ).

cnf(c_0_36,plain,
    inverse(inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | inverse(sk_c4) = sk_c6 ),
    prove_this_4 ).

cnf(c_0_38,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    prove_this_16 ).

cnf(c_0_39,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    prove_this_19 ).

cnf(c_0_40,negated_conjecture,
    ( multiply(inverse(sk_c6),sk_c5) = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_31,c_0_35]) ).

cnf(c_0_41,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | inverse(sk_c6) = sk_c4 ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_42,negated_conjecture,
    ( multiply(inverse(sk_c6),sk_c5) = sk_c7
    | multiply(sk_c7,sk_c5) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_31,c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c6) = sk_c4 ),
    inference(spm,[status(thm)],[c_0_36,c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    prove_this_5 ).

cnf(c_0_45,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | multiply(sk_c4,sk_c5) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_46,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    prove_this_20 ).

cnf(c_0_47,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c4,sk_c5) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_48,negated_conjecture,
    ( multiply(sk_c7,sk_c6) != sk_c5
    | multiply(X1,sk_c7) != sk_c6
    | inverse(X1) != sk_c7
    | multiply(sk_c7,sk_c5) != sk_c6
    | multiply(X2,sk_c7) != sk_c5
    | inverse(X2) != sk_c7
    | multiply(sk_c6,sk_c7) != sk_c5
    | inverse(X3) != sk_c7
    | multiply(X3,sk_c6) != sk_c7
    | inverse(X4) != sk_c6
    | multiply(X4,sk_c5) != sk_c6 ),
    prove_this_31 ).

cnf(c_0_49,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_51,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    prove_this_11 ).

cnf(c_0_52,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c6,sk_c7) != sk_c5
    | multiply(X1,sk_c5) != sk_c6
    | multiply(X2,sk_c6) != sk_c7
    | multiply(X3,sk_c7) != sk_c5
    | multiply(X4,sk_c7) != sk_c6
    | inverse(X1) != sk_c6
    | inverse(X2) != sk_c7
    | inverse(X3) != sk_c7
    | inverse(X4) != sk_c7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).

cnf(c_0_53,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c7,sk_c1) = identity ),
    inference(spm,[status(thm)],[c_0_29,c_0_51]) ).

cnf(c_0_54,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c4) = sk_c6 ),
    prove_this_14 ).

cnf(c_0_55,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    prove_this_15 ).

cnf(c_0_56,negated_conjecture,
    ( inverse(sk_c2) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    prove_this_27 ).

cnf(c_0_57,negated_conjecture,
    ( multiply(sk_c7,sk_c1) = identity
    | sk_c6 = sk_c7
    | multiply(X1,sk_c5) != sk_c6
    | multiply(X2,sk_c6) != sk_c7
    | multiply(X3,sk_c7) != sk_c5
    | multiply(X4,sk_c7) != sk_c6
    | inverse(X1) != sk_c6
    | inverse(X2) != sk_c7
    | inverse(X3) != sk_c7
    | inverse(X4) != sk_c7 ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    ( multiply(sk_c7,sk_c1) = identity
    | inverse(sk_c4) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_29,c_0_54]) ).

cnf(c_0_59,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | multiply(sk_c7,sk_c1) = identity ),
    inference(spm,[status(thm)],[c_0_29,c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    prove_this_12 ).

cnf(c_0_61,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    prove_this_13 ).

cnf(c_0_62,plain,
    multiply(X1,inverse(X1)) = identity,
    inference(spm,[status(thm)],[c_0_29,c_0_36]) ).

cnf(c_0_63,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c7) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_36,c_0_56]) ).

cnf(c_0_64,negated_conjecture,
    ( multiply(sk_c7,sk_c1) = identity
    | sk_c6 = sk_c7
    | multiply(X1,sk_c6) != sk_c7
    | multiply(X2,sk_c7) != sk_c5
    | multiply(X3,sk_c7) != sk_c6
    | inverse(X1) != sk_c7
    | inverse(X2) != sk_c7
    | inverse(X3) != sk_c7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).

cnf(c_0_65,negated_conjecture,
    ( multiply(sk_c7,sk_c1) = identity
    | inverse(sk_c3) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_29,c_0_60]) ).

cnf(c_0_66,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | multiply(sk_c7,sk_c1) = identity ),
    inference(spm,[status(thm)],[c_0_29,c_0_61]) ).

cnf(c_0_67,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = identity
    | inverse(sk_c7) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_68,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c5
    | inverse(sk_c3) = sk_c7 ),
    prove_this_22 ).

cnf(c_0_69,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c7) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_36,c_0_60]) ).

cnf(c_0_70,negated_conjecture,
    ( multiply(sk_c7,sk_c1) = identity
    | sk_c6 = sk_c7
    | multiply(X1,sk_c7) != sk_c5
    | multiply(X2,sk_c7) != sk_c6
    | inverse(X1) != sk_c7
    | inverse(X2) != sk_c7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).

cnf(c_0_71,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = identity
    | inverse(sk_c2) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_36,c_0_67]) ).

cnf(c_0_72,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c5
    | multiply(sk_c3,sk_c7) = identity ),
    inference(spm,[status(thm)],[c_0_62,c_0_68]) ).

cnf(c_0_73,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = identity
    | inverse(sk_c7) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_62,c_0_69]) ).

cnf(c_0_74,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    prove_this_7 ).

cnf(c_0_75,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = identity
    | multiply(sk_c7,sk_c1) = identity
    | sk_c6 = sk_c7
    | multiply(X1,sk_c7) != sk_c6
    | inverse(X1) != sk_c7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).

cnf(c_0_76,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = identity
    | inverse(sk_c1) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_36,c_0_73]) ).

cnf(c_0_77,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c3,sk_c7) = identity ),
    inference(spm,[status(thm)],[c_0_62,c_0_74]) ).

cnf(c_0_78,negated_conjecture,
    ( multiply(sk_c7,sk_c1) = identity
    | multiply(sk_c3,sk_c7) = identity
    | sk_c6 = sk_c7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).

cnf(c_0_79,negated_conjecture,
    ( multiply(sk_c3,multiply(sk_c7,X1)) = X1
    | multiply(sk_c7,sk_c1) = identity
    | sk_c6 = sk_c7 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_78]),c_0_30]) ).

cnf(c_0_80,negated_conjecture,
    ( multiply(sk_c7,sk_c1) = identity
    | multiply(sk_c3,sk_c6) = sk_c5
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_79,c_0_50]) ).

cnf(c_0_81,negated_conjecture,
    ( inverse(sk_c2) = sk_c7
    | inverse(sk_c4) = sk_c6 ),
    prove_this_29 ).

cnf(c_0_82,negated_conjecture,
    ( multiply(sk_c7,sk_c1) = identity
    | sk_c6 = sk_c7
    | sk_c5 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_66,c_0_80]) ).

cnf(c_0_83,negated_conjecture,
    ( inverse(sk_c2) = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    prove_this_26 ).

cnf(c_0_84,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c7) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_36,c_0_81]) ).

cnf(c_0_85,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c7) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_36,c_0_54]) ).

cnf(c_0_86,negated_conjecture,
    ( multiply(inverse(sk_c7),sk_c5) = sk_c6
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_31,c_0_49]) ).

cnf(c_0_87,negated_conjecture,
    ( inverse(sk_c7) = sk_c1
    | sk_c5 = sk_c7
    | sk_c6 = sk_c7 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_82]),c_0_34]) ).

cnf(c_0_88,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c7) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_36,c_0_83]) ).

cnf(c_0_89,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c7) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_36,c_0_51]) ).

cnf(c_0_90,negated_conjecture,
    ( multiply(sk_c6,sk_c4) = identity
    | inverse(sk_c7) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_29,c_0_84]) ).

cnf(c_0_91,negated_conjecture,
    ( multiply(sk_c6,sk_c4) = identity
    | inverse(sk_c7) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_29,c_0_85]) ).

cnf(c_0_92,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c7,sk_c3) = identity ),
    inference(spm,[status(thm)],[c_0_29,c_0_74]) ).

cnf(c_0_93,negated_conjecture,
    ( multiply(sk_c1,sk_c5) = sk_c6
    | sk_c5 = sk_c7
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_94,negated_conjecture,
    ( inverse(sk_c2) = sk_c7
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    prove_this_30 ).

cnf(c_0_95,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_96,negated_conjecture,
    ( multiply(sk_c6,sk_c4) = identity
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_97,negated_conjecture,
    ( multiply(inverse(sk_c1),sk_c6) = sk_c7
    | multiply(sk_c7,sk_c3) = identity ),
    inference(spm,[status(thm)],[c_0_31,c_0_92]) ).

cnf(c_0_98,negated_conjecture,
    ( multiply(inverse(sk_c1),sk_c6) = sk_c5
    | sk_c6 = sk_c7
    | sk_c5 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_31,c_0_93]) ).

cnf(c_0_99,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | inverse(sk_c7) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_36,c_0_94]) ).

cnf(c_0_100,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | inverse(sk_c7) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_36,c_0_55]) ).

cnf(c_0_101,negated_conjecture,
    ( multiply(inverse(sk_c6),sk_c5) = sk_c7
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_31,c_0_95]) ).

cnf(c_0_102,negated_conjecture,
    ( inverse(sk_c6) = sk_c4
    | sk_c2 = sk_c1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_96]),c_0_34]) ).

cnf(c_0_103,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    prove_this_8 ).

cnf(c_0_104,negated_conjecture,
    ( multiply(sk_c7,sk_c3) = identity
    | sk_c6 = sk_c7
    | sk_c5 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_105,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_106,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c7
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_107,negated_conjecture,
    ( multiply(inverse(sk_c1),sk_c6) = sk_c7
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_31,c_0_103]) ).

cnf(c_0_108,negated_conjecture,
    ( multiply(inverse(sk_c7),sk_c6) = sk_c5
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_31,c_0_50]) ).

cnf(c_0_109,negated_conjecture,
    ( inverse(sk_c7) = sk_c3
    | sk_c5 = sk_c7
    | sk_c6 = sk_c7 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_104]),c_0_34]) ).

cnf(c_0_110,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c5
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    prove_this_25 ).

cnf(c_0_111,negated_conjecture,
    ( sk_c2 = sk_c1
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_112,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | sk_c6 = sk_c7
    | sk_c5 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_107,c_0_98]) ).

cnf(c_0_113,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | sk_c5 = sk_c7
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_114,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    prove_this_10 ).

cnf(c_0_115,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c5
    | multiply(sk_c4,sk_c5) = sk_c6
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_116,negated_conjecture,
    ( sk_c6 = sk_c7
    | sk_c5 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_117,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | sk_c6 = sk_c7
    | sk_c5 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_118,negated_conjecture,
    ( sk_c6 = sk_c7
    | identity = sk_c6 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_116]),c_0_29]) ).

cnf(c_0_119,negated_conjecture,
    ( multiply(inverse(sk_c4),sk_c6) = sk_c5
    | sk_c5 = sk_c6
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_31,c_0_117]) ).

cnf(c_0_120,negated_conjecture,
    ( multiply(X1,sk_c6) = X1
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_34,c_0_118]) ).

cnf(c_0_121,negated_conjecture,
    ( inverse(sk_c4) = sk_c5
    | sk_c6 = sk_c7
    | sk_c5 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_122,negated_conjecture,
    ( inverse(sk_c5) = sk_c4
    | sk_c5 = sk_c6
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_36,c_0_121]) ).

cnf(c_0_123,negated_conjecture,
    ( inverse(sk_c7) = sk_c4
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_122,c_0_116]) ).

cnf(c_0_124,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c5
    | inverse(sk_c4) = sk_c6 ),
    prove_this_24 ).

cnf(c_0_125,negated_conjecture,
    ( inverse(sk_c4) = sk_c7
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_36,c_0_123]) ).

cnf(c_0_126,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = identity
    | inverse(sk_c4) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_62,c_0_81]) ).

cnf(c_0_127,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    prove_this_17 ).

cnf(c_0_128,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c5
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_129,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = identity
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_126,c_0_125]) ).

cnf(c_0_130,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c7,sk_c3) = identity ),
    inference(spm,[status(thm)],[c_0_29,c_0_127]) ).

cnf(c_0_131,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | multiply(sk_c6,sk_c4) = identity ),
    inference(spm,[status(thm)],[c_0_29,c_0_37]) ).

cnf(c_0_132,negated_conjecture,
    ( sk_c6 = sk_c7
    | identity = sk_c5 ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_133,negated_conjecture,
    ( multiply(sk_c7,multiply(sk_c3,X1)) = X1
    | multiply(sk_c7,sk_c5) = sk_c6 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_130]),c_0_30]) ).

cnf(c_0_134,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    prove_this_18 ).

cnf(c_0_135,negated_conjecture,
    ( multiply(sk_c6,multiply(sk_c4,X1)) = X1
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_131]),c_0_30]) ).

cnf(c_0_136,negated_conjecture,
    ( sk_c5 = sk_c6
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_118,c_0_132]) ).

cnf(c_0_137,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c7,sk_c7) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_138,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | multiply(sk_c6,sk_c6) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_135,c_0_44]) ).

cnf(c_0_139,negated_conjecture,
    sk_c6 = sk_c7,
    inference(spm,[status(thm)],[c_0_116,c_0_136]) ).

cnf(c_0_140,negated_conjecture,
    ( inverse(sk_c7) = sk_c1
    | inverse(sk_c7) = sk_c3 ),
    inference(spm,[status(thm)],[c_0_36,c_0_69]) ).

cnf(c_0_141,negated_conjecture,
    ( multiply(inverse(sk_c7),sk_c6) = sk_c5
    | multiply(sk_c7,sk_c7) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_31,c_0_137]) ).

cnf(c_0_142,negated_conjecture,
    multiply(sk_c7,sk_c7) = sk_c5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139]),c_0_139]),c_0_139])]) ).

cnf(c_0_143,negated_conjecture,
    ( multiply(sk_c1,multiply(sk_c7,X1)) = multiply(sk_c6,X1)
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_28,c_0_114]) ).

cnf(c_0_144,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c5
    | inverse(sk_c6) = sk_c4 ),
    inference(spm,[status(thm)],[c_0_36,c_0_124]) ).

cnf(c_0_145,negated_conjecture,
    ( inverse(sk_c7) = sk_c2
    | inverse(sk_c7) = sk_c3 ),
    inference(spm,[status(thm)],[c_0_36,c_0_63]) ).

cnf(c_0_146,negated_conjecture,
    ( inverse(sk_c7) = sk_c3
    | sk_c1 != sk_c3 ),
    inference(ef,[status(thm)],[c_0_140]) ).

cnf(c_0_147,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    prove_this_9 ).

cnf(c_0_148,negated_conjecture,
    ( sk_c5 = sk_c7
    | identity = sk_c5 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_139]),c_0_29]),c_0_139]),c_0_142]) ).

cnf(c_0_149,negated_conjecture,
    ( multiply(sk_c6,inverse(sk_c7)) = sk_c1
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_62]),c_0_34]) ).

cnf(c_0_150,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c5
    | inverse(sk_c7) = sk_c3 ),
    inference(spm,[status(thm)],[c_0_36,c_0_68]) ).

cnf(c_0_151,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c5
    | inverse(sk_c7) = sk_c4 ),
    inference(rw,[status(thm)],[c_0_144,c_0_139]) ).

cnf(c_0_152,negated_conjecture,
    ( inverse(sk_c7) = sk_c3
    | sk_c2 = sk_c1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_140]),c_0_146]) ).

cnf(c_0_153,negated_conjecture,
    ( inverse(sk_c7) = sk_c4
    | sk_c2 = sk_c1 ),
    inference(rw,[status(thm)],[c_0_102,c_0_139]) ).

cnf(c_0_154,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c7) = sk_c3 ),
    inference(spm,[status(thm)],[c_0_36,c_0_74]) ).

cnf(c_0_155,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c6) = sk_c4 ),
    inference(spm,[status(thm)],[c_0_36,c_0_147]) ).

cnf(c_0_156,negated_conjecture,
    ( inverse(sk_c7) = sk_c1
    | inverse(sk_c6) = sk_c4 ),
    inference(spm,[status(thm)],[c_0_36,c_0_85]) ).

cnf(c_0_157,negated_conjecture,
    multiply(inverse(sk_c7),sk_c5) = sk_c7,
    inference(spm,[status(thm)],[c_0_31,c_0_142]) ).

cnf(c_0_158,negated_conjecture,
    ( multiply(X1,sk_c5) = X1
    | sk_c5 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_34,c_0_148]) ).

cnf(c_0_159,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c7
    | identity = sk_c1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_139]),c_0_62]),c_0_139]) ).

cnf(c_0_160,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c5
    | sk_c4 = sk_c3 ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_161,negated_conjecture,
    ( sk_c2 = sk_c1
    | sk_c4 = sk_c3 ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_162,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c7
    | inverse(sk_c7) = sk_c3 ),
    inference(rw,[status(thm)],[c_0_154,c_0_139]) ).

cnf(c_0_163,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c7
    | inverse(sk_c7) = sk_c4 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_139]),c_0_139]) ).

cnf(c_0_164,negated_conjecture,
    ( inverse(sk_c7) = sk_c4
    | inverse(sk_c7) = sk_c1 ),
    inference(rw,[status(thm)],[c_0_156,c_0_139]) ).

cnf(c_0_165,negated_conjecture,
    ( inverse(sk_c7) = sk_c7
    | sk_c5 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_166,negated_conjecture,
    ( sk_c5 = sk_c7
    | identity = sk_c1
    | sk_c4 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_159,c_0_158]) ).

cnf(c_0_167,negated_conjecture,
    ( multiply(sk_c1,multiply(sk_c7,X1)) = multiply(sk_c6,X1)
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_28,c_0_103]) ).

cnf(c_0_168,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c5
    | sk_c4 = sk_c3 ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_169,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c7
    | sk_c4 = sk_c3 ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_170,negated_conjecture,
    ( sk_c5 = sk_c7
    | sk_c1 = sk_c7
    | sk_c4 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_171,negated_conjecture,
    ( sk_c4 = sk_c7
    | sk_c1 = sk_c5
    | sk_c5 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_148,c_0_166]) ).

cnf(c_0_172,negated_conjecture,
    ( multiply(sk_c6,inverse(sk_c7)) = sk_c1
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_62]),c_0_34]) ).

cnf(c_0_173,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c7) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_36,c_0_61]) ).

cnf(c_0_174,negated_conjecture,
    ( sk_c4 = sk_c3
    | sk_c5 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_175,negated_conjecture,
    ( sk_c4 = sk_c7
    | sk_c5 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

cnf(c_0_176,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | multiply(sk_c6,sk_c1) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_177,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c7
    | identity = sk_c1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_139]),c_0_62]),c_0_139]) ).

cnf(c_0_178,negated_conjecture,
    ( sk_c5 = sk_c7
    | sk_c3 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_179,negated_conjecture,
    ( multiply(sk_c7,sk_c1) = sk_c1
    | multiply(sk_c3,sk_c7) = sk_c7 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_139]),c_0_139]) ).

cnf(c_0_180,negated_conjecture,
    ( identity = sk_c1
    | sk_c5 = sk_c7 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_142])]) ).

cnf(c_0_181,negated_conjecture,
    ( multiply(sk_c7,sk_c1) = sk_c1
    | sk_c5 = sk_c7 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_178]),c_0_142])]) ).

cnf(c_0_182,negated_conjecture,
    ( sk_c1 = sk_c5
    | sk_c5 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_148,c_0_180]) ).

cnf(c_0_183,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c5
    | sk_c5 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_184,plain,
    multiply(inverse(identity),X1) = X1,
    inference(spm,[status(thm)],[c_0_31,c_0_30]) ).

cnf(c_0_185,negated_conjecture,
    sk_c5 = sk_c7,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_183]),c_0_157])]) ).

cnf(c_0_186,plain,
    multiply(inverse(inverse(identity)),X1) = X1,
    inference(spm,[status(thm)],[c_0_31,c_0_184]) ).

cnf(c_0_187,negated_conjecture,
    identity = sk_c7,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_185]),c_0_29]) ).

cnf(c_0_188,plain,
    inverse(identity) = identity,
    inference(spm,[status(thm)],[c_0_29,c_0_186]) ).

cnf(c_0_189,plain,
    multiply(X1,sk_c7) = X1,
    inference(rw,[status(thm)],[c_0_34,c_0_187]) ).

cnf(c_0_190,plain,
    inverse(sk_c7) = sk_c7,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_187]),c_0_187]) ).

cnf(c_0_191,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_139]),c_0_139]),c_0_139]),c_0_139]),c_0_139]),c_0_139]),c_0_139])]),c_0_189]),c_0_185]),c_0_185]),c_0_189]),c_0_185]),c_0_189]),c_0_189]),c_0_189]),c_0_185]),c_0_189])])])])])]),c_0_190])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : GRP295-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 02:35:16 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Yk0hl4clOV/E---3.1_11410.p
% 0.17/0.59  # Version: 3.1pre001
% 0.17/0.59  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.59  # Starting sh5l with 300s (1) cores
% 0.17/0.59  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 11506 completed with status 0
% 0.17/0.59  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.17/0.59  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.59  # No SInE strategy applied
% 0.17/0.59  # Search class: FGHPS-FFMM21-SFFFFFNN
% 0.17/0.59  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.59  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.17/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.17/0.59  # Starting new_bool_3 with 136s (1) cores
% 0.17/0.59  # Starting new_bool_1 with 136s (1) cores
% 0.17/0.59  # Starting sh5l with 136s (1) cores
% 0.17/0.59  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 11511 completed with status 0
% 0.17/0.59  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.17/0.59  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.59  # No SInE strategy applied
% 0.17/0.59  # Search class: FGHPS-FFMM21-SFFFFFNN
% 0.17/0.59  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.59  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.17/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.17/0.59  # Preprocessing time       : 0.001 s
% 0.17/0.59  # Presaturation interreduction done
% 0.17/0.59  
% 0.17/0.59  # Proof found!
% 0.17/0.59  # SZS status Unsatisfiable
% 0.17/0.59  # SZS output start CNFRefutation
% See solution above
% 0.17/0.59  # Parsed axioms                        : 34
% 0.17/0.59  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.59  # Initial clauses                      : 34
% 0.17/0.59  # Removed in clause preprocessing      : 0
% 0.17/0.59  # Initial clauses in saturation        : 34
% 0.17/0.59  # Processed clauses                    : 2602
% 0.17/0.59  # ...of these trivial                  : 144
% 0.17/0.59  # ...subsumed                          : 1726
% 0.17/0.59  # ...remaining for further processing  : 732
% 0.17/0.59  # Other redundant clauses eliminated   : 16
% 0.17/0.59  # Clauses deleted for lack of memory   : 0
% 0.17/0.59  # Backward-subsumed                    : 116
% 0.17/0.59  # Backward-rewritten                   : 470
% 0.17/0.59  # Generated clauses                    : 10987
% 0.17/0.59  # ...of the previous two non-redundant : 10716
% 0.17/0.59  # ...aggressively subsumed             : 0
% 0.17/0.59  # Contextual simplify-reflections      : 16
% 0.17/0.59  # Paramodulations                      : 10969
% 0.17/0.59  # Factorizations                       : 5
% 0.17/0.59  # NegExts                              : 0
% 0.17/0.59  # Equation resolutions                 : 16
% 0.17/0.59  # Total rewrite steps                  : 3430
% 0.17/0.59  # Propositional unsat checks           : 0
% 0.17/0.59  #    Propositional check models        : 0
% 0.17/0.59  #    Propositional check unsatisfiable : 0
% 0.17/0.59  #    Propositional clauses             : 0
% 0.17/0.59  #    Propositional clauses after purity: 0
% 0.17/0.59  #    Propositional unsat core size     : 0
% 0.17/0.59  #    Propositional preprocessing time  : 0.000
% 0.17/0.59  #    Propositional encoding time       : 0.000
% 0.17/0.59  #    Propositional solver time         : 0.000
% 0.17/0.59  #    Success case prop preproc time    : 0.000
% 0.17/0.59  #    Success case prop encoding time   : 0.000
% 0.17/0.59  #    Success case prop solver time     : 0.000
% 0.17/0.59  # Current number of processed clauses  : 111
% 0.17/0.59  #    Positive orientable unit clauses  : 14
% 0.17/0.59  #    Positive unorientable unit clauses: 0
% 0.17/0.59  #    Negative unit clauses             : 0
% 0.17/0.59  #    Non-unit-clauses                  : 97
% 0.17/0.59  # Current number of unprocessed clauses: 3073
% 0.17/0.59  # ...number of literals in the above   : 12343
% 0.17/0.59  # Current number of archived formulas  : 0
% 0.17/0.59  # Current number of archived clauses   : 620
% 0.17/0.59  # Clause-clause subsumption calls (NU) : 14858
% 0.17/0.59  # Rec. Clause-clause subsumption calls : 6306
% 0.17/0.59  # Non-unit clause-clause subsumptions  : 1854
% 0.17/0.59  # Unit Clause-clause subsumption calls : 95
% 0.17/0.59  # Rewrite failures with RHS unbound    : 0
% 0.17/0.59  # BW rewrite match attempts            : 20
% 0.17/0.59  # BW rewrite match successes           : 16
% 0.17/0.59  # Condensation attempts                : 0
% 0.17/0.59  # Condensation successes               : 0
% 0.17/0.59  # Termbank termtop insertions          : 110926
% 0.17/0.59  
% 0.17/0.59  # -------------------------------------------------
% 0.17/0.59  # User time                : 0.140 s
% 0.17/0.59  # System time              : 0.008 s
% 0.17/0.59  # Total time               : 0.148 s
% 0.17/0.59  # Maximum resident set size: 1600 pages
% 0.17/0.59  
% 0.17/0.59  # -------------------------------------------------
% 0.17/0.59  # User time                : 0.695 s
% 0.17/0.59  # System time              : 0.013 s
% 0.17/0.59  # Total time               : 0.708 s
% 0.17/0.59  # Maximum resident set size: 1684 pages
% 0.17/0.59  % E---3.1 exiting
% 0.17/0.59  % E---3.1 exiting
%------------------------------------------------------------------------------