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Prover9---2026-6A.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : GRP372-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 07:28:44 AM UTC 2026

% Result   : Unsatisfiable 135.79s 17.69s
% Output   : CNFRefutation 135.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   60
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  203 (  25 unt;   0 def)
%            Number of atoms       :  576 ( 575 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  617 ( 244   ~; 373   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   60 (   0 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(left_identity,axiom,
    ! [VAR_0] : multiply(identity,VAR_0) = VAR_0,
    file('theBenchmark.p',left_identity) ).

cnf(c_1,plain,
    multiply(identity,A) = A,
    inference(clausify,[status(thm)],[left_identity]) ).

fof(left_inverse,axiom,
    ! [VAR_0] : multiply(inverse(VAR_0),VAR_0) = identity,
    file('theBenchmark.p',left_inverse) ).

cnf(c_2,plain,
    multiply(inverse(A),A) = identity,
    inference(clausify,[status(thm)],[left_inverse]) ).

fof(associativity,axiom,
    ! [VAR_0,VAR_1,VAR_2] : multiply(multiply(VAR_0,VAR_1),VAR_2) = multiply(VAR_0,multiply(VAR_1,VAR_2)),
    file('theBenchmark.p',associativity) ).

cnf(c_3,plain,
    multiply(multiply(A,B),C) = multiply(A,multiply(B,C)),
    inference(clausify,[status(thm)],[associativity]) ).

fof(prove_this_1,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c8) = sk_c7 ),
    file('theBenchmark.p',prove_this_1) ).

cnf(c_4,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c8) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_1]) ).

fof(prove_this_2,axiom,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c8) = sk_c7 ),
    file('theBenchmark.p',prove_this_2) ).

cnf(c_5,plain,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c8) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_2]) ).

fof(prove_this_3,axiom,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    file('theBenchmark.p',prove_this_3) ).

cnf(c_6,plain,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_3]) ).

fof(prove_this_4,axiom,
    ( multiply(sk_c8,sk_c5) = sk_c7
    | inverse(sk_c8) = sk_c7 ),
    file('theBenchmark.p',prove_this_4) ).

cnf(c_7,plain,
    ( multiply(sk_c8,sk_c5) = sk_c7
    | inverse(sk_c8) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_4]) ).

fof(prove_this_5,axiom,
    ( multiply(sk_c4,sk_c8) = sk_c5
    | inverse(sk_c8) = sk_c7 ),
    file('theBenchmark.p',prove_this_5) ).

cnf(c_8,plain,
    ( multiply(sk_c4,sk_c8) = sk_c5
    | inverse(sk_c8) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_5]) ).

fof(prove_this_6,axiom,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    file('theBenchmark.p',prove_this_6) ).

cnf(c_9,plain,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_6]) ).

fof(prove_this_8,axiom,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('theBenchmark.p',prove_this_8) ).

cnf(c_11,plain,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_8]) ).

fof(prove_this_9,axiom,
    ( inverse(sk_c3) = sk_c8
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('theBenchmark.p',prove_this_9) ).

cnf(c_12,plain,
    ( inverse(sk_c3) = sk_c8
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_9]) ).

fof(prove_this_13,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c1) = sk_c8 ),
    file('theBenchmark.p',prove_this_13) ).

cnf(c_16,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c1) = sk_c8 ),
    inference(clausify,[status(thm)],[prove_this_13]) ).

fof(prove_this_14,axiom,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c8 ),
    file('theBenchmark.p',prove_this_14) ).

cnf(c_17,plain,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c8 ),
    inference(clausify,[status(thm)],[prove_this_14]) ).

fof(prove_this_15,axiom,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    file('theBenchmark.p',prove_this_15) ).

cnf(c_18,plain,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    inference(clausify,[status(thm)],[prove_this_15]) ).

fof(prove_this_19,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c8,sk_c6) = sk_c7 ),
    file('theBenchmark.p',prove_this_19) ).

cnf(c_22,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c8,sk_c6) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_19]) ).

fof(prove_this_25,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c2,sk_c7) = sk_c6 ),
    file('theBenchmark.p',prove_this_25) ).

cnf(c_28,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c2,sk_c7) = sk_c6 ),
    inference(clausify,[status(thm)],[prove_this_25]) ).

fof(prove_this_31,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c2) = sk_c7 ),
    file('theBenchmark.p',prove_this_31) ).

cnf(c_34,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c2) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_31]) ).

fof(prove_this_32,axiom,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    file('theBenchmark.p',prove_this_32) ).

cnf(c_35,plain,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_32]) ).

fof(prove_this_33,axiom,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    file('theBenchmark.p',prove_this_33) ).

cnf(c_36,plain,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_33]) ).

fof(prove_this_34,axiom,
    ( multiply(sk_c8,sk_c5) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    file('theBenchmark.p',prove_this_34) ).

cnf(c_37,plain,
    ( multiply(sk_c8,sk_c5) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_34]) ).

fof(prove_this_35,axiom,
    ( multiply(sk_c4,sk_c8) = sk_c5
    | inverse(sk_c2) = sk_c7 ),
    file('theBenchmark.p',prove_this_35) ).

cnf(c_38,plain,
    ( multiply(sk_c4,sk_c8) = sk_c5
    | inverse(sk_c2) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_35]) ).

fof(prove_this_36,axiom,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    file('theBenchmark.p',prove_this_36) ).

cnf(c_39,plain,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_36]) ).

fof(prove_this_37,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
      ( inverse(VAR_4) != sk_c8
      | multiply(VAR_4,sk_c8) != VAR_3
      | multiply(sk_c8,VAR_3) != sk_c7
      | inverse(VAR_2) != sk_c8
      | multiply(VAR_2,sk_c8) != sk_c7
      | multiply(sk_c8,sk_c7) != sk_c6
      | inverse(VAR_1) != sk_c7
      | multiply(VAR_1,sk_c7) != sk_c6
      | multiply(sk_c8,sk_c6) != sk_c7
      | inverse(VAR_0) != sk_c8
      | multiply(VAR_0,sk_c8) != sk_c7
      | inverse(sk_c8) != sk_c7 ),
    file('theBenchmark.p',prove_this_37) ).

cnf(c_40,plain,
    ( inverse(E) != sk_c8
    | multiply(E,sk_c8) != D
    | multiply(sk_c8,D) != sk_c7
    | inverse(C) != sk_c8
    | multiply(C,sk_c8) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | inverse(B) != sk_c7
    | multiply(B,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(clausify,[status(thm)],[prove_this_37]) ).

cnf(c_5904,plain,
    ( inverse(D) != sk_c8
    | multiply(D,sk_c8) != C
    | multiply(sk_c8,C) != sk_c7
    | inverse(B) != sk_c8
    | multiply(B,sk_c8) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(factor,[status(thm)],[c_40]) ).

cnf(c_41,plain,
    ( inverse(D) != sk_c8
    | multiply(D,sk_c8) != C
    | multiply(sk_c8,C) != sk_c7
    | inverse(B) != sk_c8
    | multiply(B,sk_c8) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(copy,[status(thm)],[c_5904]) ).

cnf(c_5905,plain,
    ( inverse(C) != sk_c8
    | multiply(C,sk_c8) != B
    | multiply(sk_c8,B) != sk_c7
    | inverse(A) != sk_c8
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(factor,[status(thm)],[c_41]) ).

cnf(c_43,plain,
    ( inverse(C) != sk_c8
    | multiply(C,sk_c8) != B
    | multiply(sk_c8,B) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(copy,[status(thm)],[c_5905]) ).

cnf(c_47,plain,
    ( inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c8
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(sk_c8) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(factor,[status(thm)],[c_43]) ).

cnf(c_5906,plain,
    ( inverse(A) != sk_c8
    | multiply(sk_c8,sk_c7) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(factor,[status(thm)],[c_43]) ).

cnf(c_48,plain,
    ( multiply(sk_c8,sk_c7) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(copy,[status(thm)],[c_5906]) ).

cnf(c_52,plain,
    ( multiply(sk_c8,sk_c8) != sk_c8
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(sk_c8) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(factor,[status(thm)],[c_47]) ).

cnf(c_54,plain,
    multiply(multiply(A,identity),B) = multiply(A,B),
    inference(paramod,[status(thm)],[c_1,c_3]) ).

cnf(c_5907,plain,
    multiply(identity,A) = multiply(inverse(B),multiply(B,A)),
    inference(paramod,[status(thm)],[c_2,c_3]) ).

cnf(c_56,plain,
    multiply(inverse(A),multiply(A,B)) = multiply(identity,B),
    inference(copy,[status(thm)],[c_5907]) ).

cnf(c_66,plain,
    ( multiply(sk_c8,sk_c3) = identity
    | inverse(sk_c8) = sk_c7 ),
    inference(paramod,[status(thm)],[c_6,c_2]) ).

cnf(c_5908,plain,
    ( inverse(B) != sk_c8
    | multiply(B,sk_c8) != A
    | multiply(sk_c8,A) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(identity) != sk_c8
    | sk_c8 != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_1,c_43]) ).

cnf(c_148,plain,
    ( inverse(B) != sk_c8
    | multiply(B,sk_c8) != A
    | multiply(sk_c8,A) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(identity) != sk_c8
    | sk_c7 != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(copy,[status(thm)],[c_5908]) ).

cnf(c_203,plain,
    ( multiply(identity,sk_c8) != A
    | multiply(sk_c8,A) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(identity) != sk_c8
    | sk_c7 != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(factor,[status(thm)],[c_148]) ).

cnf(c_268,plain,
    ( multiply(identity,sk_c8) != sk_c6
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(identity) != sk_c8
    | sk_c7 != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(factor,[status(thm)],[c_203]) ).

cnf(c_5909,plain,
    ( sk_c8 != sk_c6
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(identity) != sk_c8
    | sk_c7 != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_1,c_268]) ).

cnf(c_306,plain,
    ( sk_c6 != sk_c8
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(identity) != sk_c8
    | sk_c7 != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(copy,[status(thm)],[c_5909]) ).

cnf(c_673,plain,
    multiply(inverse(A),multiply(A,B)) = B,
    inference(paramod,[status(thm)],[c_1,c_56]) ).

cnf(c_738,plain,
    ( multiply(inverse(sk_c3),sk_c7) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    inference(paramod,[status(thm)],[c_5,c_673]) ).

cnf(c_741,plain,
    ( multiply(inverse(sk_c4),sk_c5) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    inference(paramod,[status(thm)],[c_8,c_673]) ).

cnf(c_745,plain,
    ( multiply(inverse(sk_c1),sk_c7) = sk_c8
    | inverse(sk_c3) = sk_c8 ),
    inference(paramod,[status(thm)],[c_12,c_673]) ).

cnf(c_750,plain,
    ( multiply(inverse(sk_c3),sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    inference(paramod,[status(thm)],[c_17,c_673]) ).

cnf(c_768,plain,
    ( multiply(inverse(sk_c3),sk_c7) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    inference(paramod,[status(thm)],[c_35,c_673]) ).

cnf(c_771,plain,
    ( multiply(inverse(sk_c4),sk_c5) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    inference(paramod,[status(thm)],[c_38,c_673]) ).

cnf(c_5910,plain,
    ( multiply(sk_c8,sk_c7) = sk_c8
    | inverse(sk_c8) = sk_c7
    | inverse(sk_c8) = sk_c7 ),
    inference(paramod,[status(thm)],[c_6,c_738]) ).

cnf(c_837,plain,
    ( multiply(sk_c8,sk_c7) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    inference(copy,[status(thm)],[c_5910]) ).

cnf(c_5911,plain,
    ( sk_c8 = sk_c6
    | inverse(sk_c8) = sk_c7
    | inverse(sk_c8) = sk_c7 ),
    inference(paramod,[status(thm)],[c_837,c_4]) ).

cnf(c_5912,plain,
    ( sk_c6 = sk_c8
    | inverse(sk_c8) = sk_c7
    | inverse(sk_c8) = sk_c7 ),
    inference(copy,[status(thm)],[c_5911]) ).

cnf(c_845,plain,
    ( sk_c6 = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    inference(copy,[status(thm)],[c_5912]) ).

cnf(c_851,plain,
    ( multiply(sk_c7,sk_c8) = identity
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_845,c_2]) ).

cnf(c_919,plain,
    ( multiply(inverse(sk_c7),identity) = sk_c8
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_851,c_673]) ).

cnf(c_5913,plain,
    ( multiply(sk_c8,sk_c5) = sk_c8
    | inverse(sk_c8) = sk_c7
    | inverse(sk_c8) = sk_c7 ),
    inference(paramod,[status(thm)],[c_9,c_741]) ).

cnf(c_940,plain,
    ( multiply(sk_c8,sk_c5) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    inference(copy,[status(thm)],[c_5913]) ).

cnf(c_5914,plain,
    ( sk_c8 = sk_c7
    | inverse(sk_c8) = sk_c7
    | inverse(sk_c8) = sk_c7 ),
    inference(paramod,[status(thm)],[c_940,c_7]) ).

cnf(c_5915,plain,
    ( sk_c7 = sk_c8
    | inverse(sk_c8) = sk_c7
    | inverse(sk_c8) = sk_c7 ),
    inference(copy,[status(thm)],[c_5914]) ).

cnf(c_948,plain,
    ( sk_c7 = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    inference(copy,[status(thm)],[c_5915]) ).

cnf(c_954,plain,
    ( multiply(sk_c7,sk_c8) = identity
    | sk_c7 = sk_c8 ),
    inference(paramod,[status(thm)],[c_948,c_2]) ).

cnf(c_983,plain,
    ( multiply(inverse(sk_c7),identity) = sk_c8
    | sk_c7 = sk_c8 ),
    inference(paramod,[status(thm)],[c_954,c_673]) ).

cnf(c_5916,plain,
    ( multiply(sk_c8,sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    inference(paramod,[status(thm)],[c_18,c_750]) ).

cnf(c_1040,plain,
    ( multiply(sk_c8,sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    inference(copy,[status(thm)],[c_5916]) ).

cnf(c_5917,plain,
    ( sk_c8 = sk_c6
    | inverse(sk_c1) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    inference(paramod,[status(thm)],[c_1040,c_16]) ).

cnf(c_5918,plain,
    ( sk_c6 = sk_c8
    | inverse(sk_c1) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    inference(copy,[status(thm)],[c_5917]) ).

cnf(c_1048,plain,
    ( sk_c6 = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    inference(copy,[status(thm)],[c_5918]) ).

cnf(c_1057,plain,
    ( multiply(sk_c8,sk_c1) = identity
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_1048,c_2]) ).

cnf(c_1061,plain,
    ( multiply(sk_c8,sk_c7) = sk_c8
    | inverse(sk_c3) = sk_c8
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_1048,c_745]) ).

cnf(c_1072,plain,
    ( multiply(inverse(sk_c8),identity) = sk_c1
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_1057,c_673]) ).

cnf(c_5919,plain,
    ( multiply(sk_c7,identity) = sk_c1
    | sk_c6 = sk_c8
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_845,c_1072]) ).

cnf(c_1102,plain,
    ( multiply(sk_c7,identity) = sk_c1
    | sk_c6 = sk_c8 ),
    inference(copy,[status(thm)],[c_5919]) ).

cnf(c_1105,plain,
    ( multiply(sk_c1,A) = multiply(sk_c7,A)
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_1102,c_54]) ).

cnf(c_5920,plain,
    ( multiply(sk_c1,sk_c8) = identity
    | sk_c6 = sk_c8
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_851,c_1105]) ).

cnf(c_1140,plain,
    ( multiply(sk_c1,sk_c8) = identity
    | sk_c6 = sk_c8 ),
    inference(copy,[status(thm)],[c_5920]) ).

cnf(c_1165,plain,
    ( multiply(inverse(sk_c1),identity) = sk_c8
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_1140,c_673]) ).

cnf(c_5921,plain,
    ( multiply(sk_c8,identity) = sk_c8
    | sk_c6 = sk_c8
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_1048,c_1165]) ).

cnf(c_1403,plain,
    ( multiply(sk_c8,identity) = sk_c8
    | sk_c6 = sk_c8 ),
    inference(copy,[status(thm)],[c_5921]) ).

cnf(c_5922,plain,
    ( multiply(sk_c8,sk_c7) = sk_c8
    | inverse(sk_c2) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    inference(paramod,[status(thm)],[c_36,c_768]) ).

cnf(c_2048,plain,
    ( multiply(sk_c8,sk_c7) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    inference(copy,[status(thm)],[c_5922]) ).

cnf(c_5923,plain,
    ( sk_c8 = sk_c6
    | inverse(sk_c2) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    inference(paramod,[status(thm)],[c_2048,c_34]) ).

cnf(c_5924,plain,
    ( sk_c6 = sk_c8
    | inverse(sk_c2) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    inference(copy,[status(thm)],[c_5923]) ).

cnf(c_2056,plain,
    ( sk_c6 = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    inference(copy,[status(thm)],[c_5924]) ).

cnf(c_2065,plain,
    ( multiply(sk_c7,sk_c2) = identity
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_2056,c_2]) ).

cnf(c_2075,plain,
    ( multiply(inverse(sk_c7),identity) = sk_c2
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_2065,c_673]) ).

cnf(c_5925,plain,
    ( sk_c2 = sk_c8
    | sk_c6 = sk_c8
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_2075,c_919]) ).

cnf(c_2125,plain,
    ( sk_c2 = sk_c8
    | sk_c6 = sk_c8 ),
    inference(copy,[status(thm)],[c_5925]) ).

cnf(c_5926,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c8,sk_c7) = sk_c6
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_2125,c_28]) ).

cnf(c_2161,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | sk_c6 = sk_c8 ),
    inference(copy,[status(thm)],[c_5926]) ).

cnf(c_5927,plain,
    ( sk_c6 = sk_c8
    | inverse(sk_c3) = sk_c8
    | sk_c6 = sk_c8
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_2161,c_1061]) ).

cnf(c_5928,plain,
    ( sk_c6 = sk_c8
    | inverse(sk_c3) = sk_c8
    | sk_c6 = sk_c8 ),
    inference(copy,[status(thm)],[c_5927]) ).

cnf(c_2174,plain,
    ( inverse(sk_c3) = sk_c8
    | sk_c6 = sk_c8 ),
    inference(copy,[status(thm)],[c_5928]) ).

cnf(c_2176,plain,
    ( multiply(sk_c8,sk_c3) = identity
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_2174,c_2]) ).

cnf(c_2193,plain,
    ( multiply(inverse(sk_c8),identity) = sk_c3
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_2176,c_673]) ).

cnf(c_5929,plain,
    ( sk_c3 = sk_c1
    | sk_c6 = sk_c8
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_2193,c_1072]) ).

cnf(c_2464,plain,
    ( sk_c3 = sk_c1
    | sk_c6 = sk_c8 ),
    inference(copy,[status(thm)],[c_5929]) ).

cnf(c_5930,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c7
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_2464,c_11]) ).

cnf(c_2466,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | sk_c6 = sk_c8 ),
    inference(copy,[status(thm)],[c_5930]) ).

cnf(c_5931,plain,
    ( sk_c7 = identity
    | sk_c6 = sk_c8
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_2466,c_1140]) ).

cnf(c_5932,plain,
    ( identity = sk_c7
    | sk_c6 = sk_c8
    | sk_c6 = sk_c8 ),
    inference(copy,[status(thm)],[c_5931]) ).

cnf(c_2499,plain,
    ( identity = sk_c7
    | sk_c6 = sk_c8 ),
    inference(copy,[status(thm)],[c_5932]) ).

cnf(c_5933,plain,
    ( multiply(sk_c8,sk_c7) = sk_c8
    | sk_c6 = sk_c8
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_2499,c_1403]) ).

cnf(c_2595,plain,
    ( multiply(sk_c8,sk_c7) = sk_c8
    | sk_c6 = sk_c8 ),
    inference(copy,[status(thm)],[c_5933]) ).

cnf(c_5934,plain,
    ( sk_c8 = sk_c6
    | sk_c6 = sk_c8
    | sk_c6 = sk_c8 ),
    inference(paramod,[status(thm)],[c_2595,c_2161]) ).

cnf(c_5935,plain,
    ( sk_c6 = sk_c8
    | sk_c6 = sk_c8
    | sk_c6 = sk_c8 ),
    inference(copy,[status(thm)],[c_5934]) ).

cnf(c_5936,plain,
    ( sk_c6 = sk_c8
    | sk_c6 = sk_c8 ),
    inference(copy,[status(thm)],[c_5935]) ).

cnf(c_3513,plain,
    sk_c6 = sk_c8,
    inference(copy,[status(thm)],[c_5936]) ).

cnf(c_3587,plain,
    ( multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | inverse(identity) != sk_c8
    | sk_c7 != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(resolve,[status(thm)],[c_3513,c_306]) ).

cnf(c_3590,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c8,sk_c8) = sk_c7 ),
    inference(paramod,[status(thm)],[c_3513,c_22]) ).

cnf(c_3599,plain,
    ( multiply(sk_c8,sk_c7) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_3513,c_48]) ).

cnf(c_5937,plain,
    ( multiply(sk_c8,sk_c8) != sk_c8
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_3513,c_52]) ).

cnf(c_3603,plain,
    ( multiply(sk_c8,sk_c8) != sk_c8
    | multiply(sk_c8,sk_c7) != sk_c6
    | inverse(sk_c8) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(copy,[status(thm)],[c_5937]) ).

cnf(c_3701,plain,
    ( multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(identity) != sk_c8
    | sk_c7 != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_3513,c_3587]) ).

cnf(c_3704,plain,
    ( multiply(sk_c8,sk_c7) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(identity) != sk_c8
    | sk_c7 != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_3513,c_3701]) ).

cnf(c_3720,plain,
    ( multiply(sk_c8,sk_c7) = sk_c8
    | multiply(sk_c8,sk_c8) = sk_c7 ),
    inference(paramod,[status(thm)],[c_3513,c_3590]) ).

cnf(c_3756,plain,
    ( multiply(sk_c8,sk_c8) != sk_c8
    | multiply(sk_c8,sk_c7) != sk_c8
    | inverse(sk_c8) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_3513,c_3603]) ).

cnf(c_5938,plain,
    ( multiply(sk_c8,sk_c5) = sk_c8
    | inverse(sk_c2) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    inference(paramod,[status(thm)],[c_39,c_771]) ).

cnf(c_3909,plain,
    ( multiply(sk_c8,sk_c5) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    inference(copy,[status(thm)],[c_5938]) ).

cnf(c_5939,plain,
    ( sk_c8 = sk_c7
    | inverse(sk_c2) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    inference(paramod,[status(thm)],[c_3909,c_37]) ).

cnf(c_5940,plain,
    ( sk_c7 = sk_c8
    | inverse(sk_c2) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    inference(copy,[status(thm)],[c_5939]) ).

cnf(c_3918,plain,
    ( sk_c7 = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    inference(copy,[status(thm)],[c_5940]) ).

cnf(c_3924,plain,
    ( multiply(sk_c7,sk_c2) = identity
    | sk_c7 = sk_c8 ),
    inference(paramod,[status(thm)],[c_3918,c_2]) ).

cnf(c_3934,plain,
    ( multiply(inverse(sk_c7),identity) = sk_c2
    | sk_c7 = sk_c8 ),
    inference(paramod,[status(thm)],[c_3924,c_673]) ).

cnf(c_5941,plain,
    ( sk_c2 = sk_c8
    | sk_c7 = sk_c8
    | sk_c7 = sk_c8 ),
    inference(paramod,[status(thm)],[c_3934,c_983]) ).

cnf(c_4081,plain,
    ( sk_c2 = sk_c8
    | sk_c7 = sk_c8 ),
    inference(copy,[status(thm)],[c_5941]) ).

cnf(c_5942,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c8,sk_c7) = sk_c6
    | sk_c7 = sk_c8 ),
    inference(paramod,[status(thm)],[c_4081,c_28]) ).

cnf(c_4085,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | sk_c7 = sk_c8 ),
    inference(copy,[status(thm)],[c_5942]) ).

cnf(c_4104,plain,
    ( multiply(inverse(sk_c8),sk_c6) = sk_c7
    | sk_c7 = sk_c8 ),
    inference(paramod,[status(thm)],[c_4085,c_673]) ).

cnf(c_4309,plain,
    ( multiply(sk_c8,sk_c7) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_3513,c_3599]) ).

cnf(c_5943,plain,
    ( multiply(sk_c7,sk_c6) = sk_c7
    | sk_c7 = sk_c8
    | sk_c7 = sk_c8 ),
    inference(paramod,[status(thm)],[c_948,c_4104]) ).

cnf(c_4555,plain,
    ( multiply(sk_c7,sk_c6) = sk_c7
    | sk_c7 = sk_c8 ),
    inference(copy,[status(thm)],[c_5943]) ).

cnf(c_4649,plain,
    ( multiply(sk_c7,sk_c8) = sk_c7
    | sk_c7 = sk_c8 ),
    inference(paramod,[status(thm)],[c_3513,c_4555]) ).

cnf(c_5944,plain,
    ( sk_c7 = identity
    | sk_c7 = sk_c8
    | sk_c7 = sk_c8 ),
    inference(paramod,[status(thm)],[c_4649,c_954]) ).

cnf(c_5945,plain,
    ( identity = sk_c7
    | sk_c7 = sk_c8
    | sk_c7 = sk_c8 ),
    inference(copy,[status(thm)],[c_5944]) ).

cnf(c_4682,plain,
    ( identity = sk_c7
    | sk_c7 = sk_c8 ),
    inference(copy,[status(thm)],[c_5945]) ).

cnf(c_4691,plain,
    ( multiply(sk_c7,A) = A
    | sk_c7 = sk_c8 ),
    inference(paramod,[status(thm)],[c_4682,c_1]) ).

cnf(c_5946,plain,
    ( sk_c8 = sk_c7
    | sk_c7 = sk_c8
    | sk_c7 = sk_c8 ),
    inference(paramod,[status(thm)],[c_4691,c_4649]) ).

cnf(c_5947,plain,
    ( sk_c7 = sk_c8
    | sk_c7 = sk_c8
    | sk_c7 = sk_c8 ),
    inference(copy,[status(thm)],[c_5946]) ).

cnf(c_5948,plain,
    ( sk_c7 = sk_c8
    | sk_c7 = sk_c8 ),
    inference(copy,[status(thm)],[c_5947]) ).

cnf(c_4807,plain,
    sk_c7 = sk_c8,
    inference(copy,[status(thm)],[c_5948]) ).

cnf(c_4834,plain,
    ( multiply(sk_c8,sk_c7) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(identity) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(resolve,[status(thm)],[c_4807,c_3704]) ).

cnf(c_4928,plain,
    ( multiply(sk_c8,sk_c8) = sk_c8
    | multiply(sk_c8,sk_c8) = sk_c7 ),
    inference(paramod,[status(thm)],[c_4807,c_3720]) ).

cnf(c_5949,plain,
    ( multiply(sk_c8,sk_c8) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c8
    | inverse(sk_c8) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_4807,c_3756]) ).

cnf(c_4932,plain,
    ( multiply(sk_c8,sk_c8) != sk_c8
    | inverse(sk_c8) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(copy,[status(thm)],[c_5949]) ).

cnf(c_5950,plain,
    ( multiply(sk_c8,sk_c8) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_4807,c_4309]) ).

cnf(c_4943,plain,
    ( multiply(sk_c8,sk_c7) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(copy,[status(thm)],[c_5950]) ).

cnf(c_4945,plain,
    ( multiply(sk_c8,sk_c8) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(identity) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_4807,c_4834]) ).

cnf(c_5951,plain,
    ( multiply(sk_c8,sk_c8) != sk_c8
    | inverse(sk_c8) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_4807,c_4932]) ).

cnf(c_5018,plain,
    ( inverse(sk_c8) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(copy,[status(thm)],[c_5951]) ).

cnf(c_5952,plain,
    ( multiply(sk_c8,sk_c8) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c8
    | inverse(identity) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_4807,c_4945]) ).

cnf(c_5110,plain,
    ( multiply(sk_c8,sk_c8) != sk_c8
    | inverse(identity) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(copy,[status(thm)],[c_5952]) ).

cnf(c_5227,plain,
    ( multiply(sk_c8,sk_c8) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c7
    | inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_4807,c_4943]) ).

cnf(c_5953,plain,
    ( multiply(sk_c8,sk_c8) != sk_c8
    | multiply(sk_c8,sk_c8) != sk_c8
    | inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_4807,c_5227]) ).

cnf(c_5360,plain,
    ( multiply(sk_c8,sk_c8) != sk_c8
    | inverse(A) != sk_c8
    | multiply(A,sk_c8) != sk_c7
    | inverse(sk_c8) != sk_c7 ),
    inference(copy,[status(thm)],[c_5953]) ).

cnf(c_5373,plain,
    ( inverse(sk_c3) = sk_c8
    | multiply(sk_c8,sk_c8) != sk_c8
    | inverse(sk_c1) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(resolve,[status(thm)],[c_5360,c_12]) ).

cnf(c_5954,plain,
    ( multiply(sk_c8,sk_c8) = sk_c8
    | multiply(sk_c8,sk_c8) = sk_c8 ),
    inference(paramod,[status(thm)],[c_4807,c_4928]) ).

cnf(c_5545,plain,
    multiply(sk_c8,sk_c8) = sk_c8,
    inference(copy,[status(thm)],[c_5954]) ).

cnf(c_5575,plain,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c1) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(resolve,[status(thm)],[c_5545,c_5373]) ).

cnf(c_5583,plain,
    ( inverse(identity) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(resolve,[status(thm)],[c_5545,c_5110]) ).

cnf(c_5584,plain,
    ( inverse(sk_c8) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(resolve,[status(thm)],[c_5545,c_5018]) ).

cnf(c_5591,plain,
    multiply(inverse(sk_c8),sk_c8) = sk_c8,
    inference(paramod,[status(thm)],[c_5545,c_673]) ).

cnf(c_5955,plain,
    ( inverse(sk_c8) != sk_c8
    | inverse(sk_c8) != sk_c8 ),
    inference(paramod,[status(thm)],[c_4807,c_5584]) ).

cnf(c_5592,plain,
    inverse(sk_c8) != sk_c8,
    inference(copy,[status(thm)],[c_5955]) ).

cnf(c_5956,plain,
    sk_c8 = identity,
    inference(paramod,[status(thm)],[c_5591,c_2]) ).

cnf(c_5594,plain,
    identity = sk_c8,
    inference(copy,[status(thm)],[c_5956]) ).

cnf(c_5602,plain,
    multiply(sk_c8,A) = A,
    inference(paramod,[status(thm)],[c_5594,c_1]) ).

cnf(c_5957,plain,
    ( sk_c3 = identity
    | inverse(sk_c8) = sk_c7 ),
    inference(paramod,[status(thm)],[c_5602,c_66]) ).

cnf(c_5725,plain,
    ( identity = sk_c3
    | inverse(sk_c8) = sk_c7 ),
    inference(copy,[status(thm)],[c_5957]) ).

cnf(c_5958,plain,
    ( identity = sk_c3
    | inverse(sk_c8) = sk_c8 ),
    inference(paramod,[status(thm)],[c_4807,c_5725]) ).

cnf(c_5805,plain,
    identity = sk_c3,
    inference(resolve,[status(thm)],[c_5592,c_5958]) ).

cnf(c_5833,plain,
    ( inverse(sk_c3) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(paramod,[status(thm)],[c_5805,c_5583]) ).

cnf(c_5835,plain,
    sk_c3 = sk_c8,
    inference(paramod,[status(thm)],[c_5805,c_5594]) ).

cnf(c_5959,plain,
    ( inverse(sk_c8) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    inference(paramod,[status(thm)],[c_5835,c_6]) ).

cnf(c_5840,plain,
    inverse(sk_c8) = sk_c7,
    inference(resolve,[status(thm)],[c_5592,c_5959]) ).

cnf(c_5960,plain,
    ( inverse(sk_c8) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    inference(paramod,[status(thm)],[c_5835,c_18]) ).

cnf(c_5841,plain,
    inverse(sk_c1) = sk_c8,
    inference(resolve,[status(thm)],[c_5592,c_5960]) ).

cnf(c_5848,plain,
    inverse(sk_c3) != sk_c8,
    inference(resolve,[status(thm)],[c_5840,c_5833]) ).

cnf(c_5961,plain,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c1) != sk_c8 ),
    inference(resolve,[status(thm)],[c_5840,c_5575]) ).

cnf(c_5962,plain,
    inverse(sk_c3) = sk_c8,
    inference(resolve,[status(thm)],[c_5841,c_5961]) ).

cnf(c_5903,plain,
    $false,
    inference(resolve,[status(thm)],[c_5848,c_5962]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : GRP372-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42  % Computer : n003.cluster.edu
% 0.16/0.42  % Model    : x86_64 x86_64
% 0.16/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42  % Memory   : 8046.5625MB
% 0.16/0.42  % OS       : Linux 6.8.0-71-generic
% 0.16/0.42  % CPULimit : 300
% 0.16/0.42  % WCLimit  : 300
% 0.16/0.42  % DateTime : Fri Sep 25 14:50:53 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.16/0.43  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43  % Process 444990 was started by sandbox on n003,
% 0.16/0.43  % Fri Sep 25 14:50:53 2026
% 0.16/0.43  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.43  
% 0.16/0.43  % From the command line: assign(max_seconds, 300).
% 135.79/17.69  
% 135.79/17.69  % Assigning unary symbol inverse kb_weight 0 and highest precedence (12).
% 135.79/17.69  
% 135.79/17.69  % SZS status Unsatisfiable for theBenchmark
% 135.79/17.69  
% 135.79/17.69  % Proof 1 at 0.97 (+ 0.20) seconds.
% 135.79/17.69  % Length of proof is 121.
% 135.79/17.69  % Level of proof is 32.
% 135.79/17.69  % Maximum clause weight is 65.000.
% 135.79/17.69  % Given clauses 496.
% 135.79/17.69  
% 135.79/17.69  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------