%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP212-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 07:28:22 AM UTC 2026
% Result : Unsatisfiable 63.27s 13.57s
% Output : CNFRefutation 63.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 25
% Syntax : Number of formulae : 324 ( 34 unt; 0 def)
% Number of atoms : 876 ( 875 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 907 ( 355 ~; 552 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 4 ( 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 : 105 ( 0 sgn 11 !; 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,
( inverse(sk_c8) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('theBenchmark.p',prove_this_1) ).
cnf(c_4,plain,
( inverse(sk_c8) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_1]) ).
fof(prove_this_2,axiom,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('theBenchmark.p',prove_this_2) ).
cnf(c_5,plain,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_2]) ).
fof(prove_this_3,axiom,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('theBenchmark.p',prove_this_3) ).
cnf(c_6,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_3]) ).
fof(prove_this_4,axiom,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('theBenchmark.p',prove_this_4) ).
cnf(c_7,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_4]) ).
fof(prove_this_5,axiom,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('theBenchmark.p',prove_this_5) ).
cnf(c_8,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_5]) ).
fof(prove_this_6,axiom,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('theBenchmark.p',prove_this_6) ).
cnf(c_9,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_6]) ).
fof(prove_this_7,axiom,
( inverse(sk_c8) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('theBenchmark.p',prove_this_7) ).
cnf(c_10,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c1) = sk_c2 ),
inference(clausify,[status(thm)],[prove_this_7]) ).
fof(prove_this_8,axiom,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('theBenchmark.p',prove_this_8) ).
cnf(c_11,plain,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(clausify,[status(thm)],[prove_this_8]) ).
fof(prove_this_10,axiom,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('theBenchmark.p',prove_this_10) ).
cnf(c_13,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c2 ),
inference(clausify,[status(thm)],[prove_this_10]) ).
fof(prove_this_11,axiom,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('theBenchmark.p',prove_this_11) ).
cnf(c_14,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c2 ),
inference(clausify,[status(thm)],[prove_this_11]) ).
fof(prove_this_12,axiom,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('theBenchmark.p',prove_this_12) ).
cnf(c_15,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(clausify,[status(thm)],[prove_this_12]) ).
fof(prove_this_13,axiom,
( inverse(sk_c8) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_13) ).
cnf(c_16,plain,
( inverse(sk_c8) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_13]) ).
fof(prove_this_16,axiom,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_16) ).
cnf(c_19,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_16]) ).
fof(prove_this_19,axiom,
( inverse(sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('theBenchmark.p',prove_this_19) ).
cnf(c_22,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_19]) ).
fof(prove_this_20,axiom,
( inverse(sk_c4) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('theBenchmark.p',prove_this_20) ).
cnf(c_23,plain,
( inverse(sk_c4) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_20]) ).
fof(prove_this_21,axiom,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('theBenchmark.p',prove_this_21) ).
cnf(c_24,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_21]) ).
fof(prove_this_22,axiom,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('theBenchmark.p',prove_this_22) ).
cnf(c_25,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_22]) ).
fof(prove_this_23,axiom,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('theBenchmark.p',prove_this_23) ).
cnf(c_26,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_23]) ).
fof(prove_this_25,axiom,
( inverse(sk_c8) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_25) ).
cnf(c_28,plain,
( inverse(sk_c8) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_25]) ).
fof(prove_this_27,axiom,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_27) ).
cnf(c_30,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_27]) ).
fof(prove_this_28,axiom,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_28) ).
cnf(c_31,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_28]) ).
fof(prove_this_31,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( inverse(VAR_5) != sk_c8
| multiply(VAR_5,sk_c8) != VAR_4
| multiply(sk_c8,VAR_4) != sk_c7
| multiply(VAR_3,sk_c7) != sk_c8
| inverse(VAR_3) != sk_c8
| inverse(sk_c8) != sk_c7
| multiply(VAR_2,sk_c7) != sk_c8
| inverse(VAR_2) != sk_c8
| multiply(VAR_1,sk_c7) != sk_c8
| inverse(VAR_0) != VAR_1
| multiply(VAR_0,VAR_1) != sk_c8 ),
file('theBenchmark.p',prove_this_31) ).
cnf(c_34,plain,
( inverse(F) != sk_c8
| multiply(F,sk_c8) != E
| multiply(sk_c8,E) != sk_c7
| multiply(D,sk_c7) != sk_c8
| inverse(D) != sk_c8
| inverse(sk_c8) != sk_c7
| multiply(C,sk_c7) != sk_c8
| inverse(C) != sk_c8
| multiply(B,sk_c7) != sk_c8
| inverse(A) != B
| multiply(A,B) != sk_c8 ),
inference(clausify,[status(thm)],[prove_this_31]) ).
cnf(c_35,plain,
( inverse(D) != sk_c8
| multiply(D,sk_c8) != C
| multiply(sk_c8,C) != sk_c7
| multiply(B,sk_c7) != sk_c8
| inverse(B) != sk_c8
| inverse(sk_c8) != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8
| inverse(sk_c7) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(factor,[status(thm)],[c_34]) ).
cnf(c_39,plain,
( inverse(D) != sk_c8
| multiply(D,sk_c8) != C
| multiply(sk_c8,C) != sk_c7
| multiply(B,sk_c7) != sk_c8
| inverse(B) != sk_c8
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c7,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c8 ),
inference(factor,[status(thm)],[c_34]) ).
cnf(c_41,plain,
( inverse(E) != sk_c8
| multiply(E,sk_c8) != D
| multiply(sk_c8,D) != sk_c7
| multiply(C,sk_c7) != sk_c8
| inverse(C) != sk_c8
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c7) != sk_c8
| inverse(A) != B
| multiply(A,B) != sk_c8 ),
inference(factor,[status(thm)],[c_34]) ).
cnf(c_43,plain,
( inverse(C) != sk_c8
| multiply(C,sk_c8) != B
| multiply(sk_c8,B) != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8
| inverse(sk_c8) != sk_c7
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(factor,[status(thm)],[c_35]) ).
cnf(c_11939,plain,
( inverse(C) != sk_c8
| multiply(C,sk_c8) != B
| multiply(sk_c8,B) != sk_c7
| multiply(A,sk_c7) != sk_c8
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c7,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c8 ),
inference(factor,[status(thm)],[c_39]) ).
cnf(c_50,plain,
( inverse(C) != sk_c8
| multiply(C,sk_c8) != B
| multiply(sk_c8,B) != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c7,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c8 ),
inference(copy,[status(thm)],[c_11939]) ).
cnf(c_11940,plain,
( inverse(D) != sk_c8
| multiply(D,sk_c8) != C
| multiply(sk_c8,C) != sk_c7
| inverse(B) != sk_c8
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c7) != sk_c8
| inverse(A) != B
| multiply(A,B) != sk_c8 ),
inference(factor,[status(thm)],[c_41]) ).
cnf(c_52,plain,
( inverse(D) != sk_c8
| multiply(D,sk_c8) != C
| multiply(sk_c8,C) != sk_c7
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c7) != sk_c8
| inverse(A) != B
| multiply(A,B) != sk_c8 ),
inference(copy,[status(thm)],[c_11940]) ).
cnf(c_11941,plain,
( inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c7) != sk_c8
| inverse(sk_c8) != sk_c7
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(factor,[status(thm)],[c_43]) ).
cnf(c_54,plain,
( inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c8) != sk_c7
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(copy,[status(thm)],[c_11941]) ).
cnf(c_62,plain,
( inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c7) != sk_c8
| multiply(sk_c7,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c8 ),
inference(factor,[status(thm)],[c_50]) ).
cnf(c_65,plain,
( multiply(B,sk_c8) != C
| multiply(sk_c8,C) != sk_c7
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c7) != sk_c8
| inverse(A) != B
| multiply(A,B) != sk_c8 ),
inference(factor,[status(thm)],[c_52]) ).
cnf(c_66,plain,
( multiply(sk_c7,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c8) != sk_c7
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(factor,[status(thm)],[c_54]) ).
cnf(c_70,plain,
( multiply(sk_c7,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c7) != sk_c8
| multiply(sk_c7,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c8 ),
inference(factor,[status(thm)],[c_62]) ).
cnf(c_11942,plain,
multiply(identity,A) = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_2,c_3]) ).
cnf(c_11943,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_1,c_11942]) ).
cnf(c_71,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(copy,[status(thm)],[c_11943]) ).
cnf(c_11944,plain,
( multiply(multiply(A,sk_c1),sk_c2) = multiply(A,sk_c8)
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_4,c_3]) ).
cnf(c_74,plain,
( multiply(A,multiply(sk_c1,sk_c2)) = multiply(A,sk_c8)
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_3,c_11944]) ).
cnf(c_11945,plain,
( multiply(sk_c8,A) = multiply(sk_c4,multiply(sk_c7,A))
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(paramod,[status(thm)],[c_6,c_3]) ).
cnf(c_80,plain,
( multiply(sk_c4,multiply(sk_c7,A)) = multiply(sk_c8,A)
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(copy,[status(thm)],[c_11945]) ).
cnf(c_93,plain,
( multiply(sk_c2,sk_c1) = identity
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_10,c_2]) ).
cnf(c_95,plain,
( multiply(sk_c2,sk_c1) = identity
| inverse(sk_c4) = sk_c8 ),
inference(paramod,[status(thm)],[c_11,c_2]) ).
cnf(c_100,plain,
( multiply(sk_c2,sk_c1) = identity
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_13,c_2]) ).
cnf(c_106,plain,
( multiply(sk_c2,sk_c1) = identity
| inverse(sk_c5) = sk_c8 ),
inference(paramod,[status(thm)],[c_15,c_2]) ).
cnf(c_107,plain,
( multiply(sk_c8,sk_c5) = identity
| inverse(sk_c1) = sk_c2 ),
inference(paramod,[status(thm)],[c_15,c_2]) ).
cnf(c_11946,plain,
( multiply(sk_c8,A) = multiply(sk_c2,multiply(sk_c7,A))
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_19,c_3]) ).
cnf(c_118,plain,
( multiply(sk_c2,multiply(sk_c7,A)) = multiply(sk_c8,A)
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(copy,[status(thm)],[c_11946]) ).
cnf(c_129,plain,
( multiply(sk_c8,sk_c3) = identity
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_22,c_2]) ).
cnf(c_130,plain,
( multiply(sk_c7,sk_c8) = identity
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_22,c_2]) ).
cnf(c_132,plain,
( multiply(sk_c8,sk_c4) = identity
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_23,c_2]) ).
cnf(c_133,plain,
( multiply(sk_c8,sk_c3) = identity
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(paramod,[status(thm)],[c_24,c_2]) ).
cnf(c_136,plain,
( multiply(sk_c8,sk_c3) = identity
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_25,c_2]) ).
cnf(c_11947,plain,
( multiply(multiply(A,sk_c5),sk_c8) = multiply(A,sk_c6)
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_26,c_3]) ).
cnf(c_141,plain,
( multiply(A,multiply(sk_c5,sk_c8)) = multiply(A,sk_c6)
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_3,c_11947]) ).
cnf(c_11948,plain,
( multiply(multiply(A,sk_c3),sk_c7) = multiply(A,sk_c8)
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_31,c_3]) ).
cnf(c_155,plain,
( multiply(A,multiply(sk_c3,sk_c7)) = multiply(A,sk_c8)
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_3,c_11948]) ).
cnf(c_183,plain,
multiply(inverse(inverse(A)),identity) = A,
inference(paramod,[status(thm)],[c_2,c_71]) ).
cnf(c_185,plain,
( multiply(inverse(sk_c1),sk_c8) = sk_c2
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_4,c_71]) ).
cnf(c_209,plain,
( multiply(inverse(sk_c2),sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_16,c_71]) ).
cnf(c_215,plain,
( multiply(inverse(sk_c2),sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_19,c_71]) ).
cnf(c_245,plain,
multiply(inverse(inverse(A)),B) = multiply(A,B),
inference(paramod,[status(thm)],[c_71,c_71]) ).
cnf(c_246,plain,
multiply(A,identity) = A,
inference(paramod,[status(thm)],[c_245,c_183]) ).
cnf(c_290,plain,
inverse(identity) = identity,
inference(paramod,[status(thm)],[c_246,c_2]) ).
cnf(c_11949,plain,
( multiply(sk_c7,sk_c8) != identity
| sk_c8 != sk_c7
| inverse(sk_c8) != sk_c7
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(paramod,[status(thm)],[c_246,c_66]) ).
cnf(c_292,plain,
( multiply(sk_c7,sk_c8) != identity
| sk_c7 != sk_c8
| inverse(sk_c8) != sk_c7
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(copy,[status(thm)],[c_11949]) ).
cnf(c_11950,plain,
( multiply(identity,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c8) != sk_c7
| inverse(identity) != sk_c8
| multiply(identity,sk_c7) != sk_c8
| multiply(identity,identity) != sk_c8 ),
inference(resolve,[status(thm)],[c_290,c_65]) ).
cnf(c_11951,plain,
( multiply(identity,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c8) != sk_c7
| inverse(identity) != sk_c8
| multiply(identity,sk_c7) != sk_c8
| identity != sk_c8 ),
inference(paramod,[status(thm)],[c_246,c_11950]) ).
cnf(c_11952,plain,
( multiply(identity,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c8) != sk_c7
| inverse(identity) != sk_c8
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(paramod,[status(thm)],[c_1,c_11951]) ).
cnf(c_11953,plain,
( multiply(identity,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c8) != sk_c7
| identity != sk_c8
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(paramod,[status(thm)],[c_290,c_11952]) ).
cnf(c_11954,plain,
( sk_c8 != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c8) != sk_c7
| identity != sk_c8
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(paramod,[status(thm)],[c_1,c_11953]) ).
cnf(c_340,plain,
( sk_c8 != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c8) != sk_c7
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(copy,[status(thm)],[c_11954]) ).
cnf(c_11955,plain,
( multiply(inverse(sk_c2),identity) = sk_c1
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_93,c_71]) ).
cnf(c_347,plain,
( inverse(sk_c2) = sk_c1
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_246,c_11955]) ).
cnf(c_350,plain,
( multiply(sk_c1,sk_c2) = identity
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_347,c_2]) ).
cnf(c_11956,plain,
( sk_c8 != identity
| sk_c8 != sk_c7
| inverse(sk_c8) != sk_c7
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(paramod,[status(thm)],[c_246,c_340]) ).
cnf(c_11957,plain,
( sk_c8 != identity
| sk_c7 != sk_c8
| inverse(sk_c8) != sk_c7
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(copy,[status(thm)],[c_11956]) ).
cnf(c_11958,plain,
( identity != sk_c8
| sk_c7 != sk_c8
| inverse(sk_c8) != sk_c7
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(copy,[status(thm)],[c_11957]) ).
cnf(c_11959,plain,
( identity != sk_c8
| inverse(sk_c8) != sk_c7
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(copy,[status(thm)],[c_11958]) ).
cnf(c_417,plain,
( inverse(sk_c8) != sk_c7
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(copy,[status(thm)],[c_11959]) ).
cnf(c_11960,plain,
( multiply(inverse(sk_c2),identity) = sk_c1
| inverse(sk_c4) = sk_c8 ),
inference(paramod,[status(thm)],[c_95,c_71]) ).
cnf(c_448,plain,
( inverse(sk_c2) = sk_c1
| inverse(sk_c4) = sk_c8 ),
inference(paramod,[status(thm)],[c_246,c_11960]) ).
cnf(c_450,plain,
( multiply(sk_c1,sk_c2) = identity
| inverse(sk_c4) = sk_c8 ),
inference(paramod,[status(thm)],[c_448,c_2]) ).
cnf(c_11961,plain,
( multiply(inverse(sk_c2),identity) = sk_c1
| inverse(sk_c5) = sk_c8 ),
inference(paramod,[status(thm)],[c_106,c_71]) ).
cnf(c_605,plain,
( inverse(sk_c2) = sk_c1
| inverse(sk_c5) = sk_c8 ),
inference(paramod,[status(thm)],[c_246,c_11961]) ).
cnf(c_609,plain,
( multiply(sk_c1,sk_c2) = identity
| inverse(sk_c5) = sk_c8 ),
inference(paramod,[status(thm)],[c_605,c_2]) ).
cnf(c_11962,plain,
( multiply(inverse(sk_c8),identity) = sk_c5
| inverse(sk_c1) = sk_c2 ),
inference(paramod,[status(thm)],[c_107,c_71]) ).
cnf(c_614,plain,
( inverse(sk_c8) = sk_c5
| inverse(sk_c1) = sk_c2 ),
inference(paramod,[status(thm)],[c_246,c_11962]) ).
cnf(c_617,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c1) = sk_c2 ),
inference(paramod,[status(thm)],[c_614,c_2]) ).
cnf(c_11963,plain,
( multiply(sk_c4,multiply(sk_c7,sk_c6)) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(paramod,[status(thm)],[c_7,c_80]) ).
cnf(c_640,plain,
( multiply(sk_c4,multiply(sk_c7,sk_c6)) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(copy,[status(thm)],[c_11963]) ).
cnf(c_11964,plain,
( multiply(inverse(sk_c8),identity) = sk_c3
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_129,c_71]) ).
cnf(c_748,plain,
( inverse(sk_c8) = sk_c3
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_246,c_11964]) ).
cnf(c_11965,plain,
( multiply(inverse(sk_c7),identity) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_130,c_71]) ).
cnf(c_775,plain,
( inverse(sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_246,c_11965]) ).
cnf(c_800,plain,
( multiply(sk_c8,sk_c3) = identity
| inverse(sk_c7) = sk_c8 ),
inference(paramod,[status(thm)],[c_775,c_2]) ).
cnf(c_11966,plain,
( multiply(inverse(sk_c8),identity) = sk_c4
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_132,c_71]) ).
cnf(c_823,plain,
( inverse(sk_c8) = sk_c4
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_246,c_11966]) ).
cnf(c_11967,plain,
( sk_c4 = sk_c7
| inverse(sk_c3) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_823,c_22]) ).
cnf(c_830,plain,
( sk_c4 = sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(copy,[status(thm)],[c_11967]) ).
cnf(c_11968,plain,
( multiply(sk_c7,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_830,c_24]) ).
cnf(c_866,plain,
( multiply(sk_c7,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(copy,[status(thm)],[c_11968]) ).
cnf(c_11969,plain,
( inverse(sk_c8) = sk_c7
| identity = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_350,c_4]) ).
cnf(c_1217,plain,
( identity = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_11969]) ).
cnf(c_11970,plain,
( multiply(A,identity) = multiply(A,sk_c8)
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_350,c_74]) ).
cnf(c_11971,plain,
( A = multiply(A,sk_c8)
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_246,c_11970]) ).
cnf(c_11972,plain,
( multiply(A,sk_c8) = A
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_11971]) ).
cnf(c_1219,plain,
( multiply(A,sk_c8) = A
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_11972]) ).
cnf(c_1246,plain,
( inverse(sk_c8) = identity
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_1217,c_290]) ).
cnf(c_11973,plain,
( multiply(inverse(sk_c2),identity) = sk_c1
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_100,c_71]) ).
cnf(c_1360,plain,
( inverse(sk_c2) = sk_c1
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_246,c_11973]) ).
cnf(c_11974,plain,
( identity = sk_c3
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_1246,c_748]) ).
cnf(c_1409,plain,
( identity = sk_c3
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_11974]) ).
cnf(c_1426,plain,
( multiply(sk_c3,A) = A
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_1409,c_1]) ).
cnf(c_11975,plain,
( inverse(sk_c4) = sk_c8
| identity = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(paramod,[status(thm)],[c_450,c_5]) ).
cnf(c_2154,plain,
( identity = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(copy,[status(thm)],[c_11975]) ).
cnf(c_2168,plain,
( multiply(sk_c8,sk_c4) = identity
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_2154,c_2]) ).
cnf(c_11976,plain,
( multiply(inverse(sk_c8),identity) = sk_c4
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_2168,c_71]) ).
cnf(c_2187,plain,
( inverse(sk_c8) = sk_c4
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_246,c_11976]) ).
cnf(c_11977,plain,
( identity = sk_c8
| sk_c4 = sk_c7
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_2187,c_1217]) ).
cnf(c_2246,plain,
( sk_c4 = sk_c7
| identity = sk_c8 ),
inference(copy,[status(thm)],[c_11977]) ).
cnf(c_2267,plain,
( inverse(sk_c8) = identity
| sk_c4 = sk_c7 ),
inference(paramod,[status(thm)],[c_2246,c_290]) ).
cnf(c_11978,plain,
( inverse(sk_c8) = sk_c8
| sk_c4 = sk_c7
| sk_c4 = sk_c7 ),
inference(paramod,[status(thm)],[c_2246,c_2267]) ).
cnf(c_2431,plain,
( inverse(sk_c8) = sk_c8
| sk_c4 = sk_c7 ),
inference(copy,[status(thm)],[c_11978]) ).
cnf(c_11979,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c8
| identity != sk_c8
| sk_c4 = sk_c7 ),
inference(paramod,[status(thm)],[c_2431,c_417]) ).
cnf(c_11980,plain,
( sk_c7 != sk_c8
| sk_c7 != sk_c8
| identity != sk_c8
| sk_c4 = sk_c7 ),
inference(copy,[status(thm)],[c_11979]) ).
cnf(c_2532,plain,
( sk_c7 != sk_c8
| identity != sk_c8
| sk_c4 = sk_c7 ),
inference(copy,[status(thm)],[c_11980]) ).
cnf(c_11981,plain,
( sk_c4 = sk_c7
| sk_c7 != sk_c8
| sk_c4 = sk_c7 ),
inference(resolve,[status(thm)],[c_2532,c_2246]) ).
cnf(c_2560,plain,
( sk_c7 != sk_c8
| sk_c4 = sk_c7 ),
inference(copy,[status(thm)],[c_11981]) ).
cnf(c_11982,plain,
( multiply(inverse(sk_c8),identity) = sk_c3
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(paramod,[status(thm)],[c_133,c_71]) ).
cnf(c_3405,plain,
( inverse(sk_c8) = sk_c3
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(paramod,[status(thm)],[c_246,c_11982]) ).
cnf(c_11983,plain,
( multiply(inverse(sk_c8),identity) = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_136,c_71]) ).
cnf(c_3549,plain,
( inverse(sk_c8) = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_246,c_11983]) ).
cnf(c_11984,plain,
( inverse(sk_c5) = sk_c8
| identity = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(paramod,[status(thm)],[c_609,c_9]) ).
cnf(c_3772,plain,
( identity = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(copy,[status(thm)],[c_11984]) ).
cnf(c_11985,plain,
( multiply(sk_c8,multiply(sk_c5,sk_c8)) = sk_c7
| inverse(sk_c3) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_25,c_141]) ).
cnf(c_3785,plain,
( multiply(sk_c8,multiply(sk_c5,sk_c8)) = sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(copy,[status(thm)],[c_11985]) ).
cnf(c_3834,plain,
( multiply(sk_c8,sk_c5) = identity
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_3772,c_2]) ).
cnf(c_11986,plain,
( multiply(inverse(sk_c8),identity) = sk_c5
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_3834,c_71]) ).
cnf(c_3856,plain,
( inverse(sk_c8) = sk_c5
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_246,c_11986]) ).
cnf(c_11987,plain,
( identity = sk_c8
| sk_c5 = sk_c7
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_3856,c_1217]) ).
cnf(c_3910,plain,
( sk_c5 = sk_c7
| identity = sk_c8 ),
inference(copy,[status(thm)],[c_11987]) ).
cnf(c_3940,plain,
( inverse(sk_c8) = identity
| sk_c5 = sk_c7 ),
inference(paramod,[status(thm)],[c_3910,c_290]) ).
cnf(c_11988,plain,
( inverse(sk_c8) = sk_c8
| sk_c5 = sk_c7
| sk_c5 = sk_c7 ),
inference(paramod,[status(thm)],[c_3910,c_3940]) ).
cnf(c_4102,plain,
( inverse(sk_c8) = sk_c8
| sk_c5 = sk_c7 ),
inference(copy,[status(thm)],[c_11988]) ).
cnf(c_11989,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c8
| identity != sk_c8
| sk_c5 = sk_c7 ),
inference(paramod,[status(thm)],[c_4102,c_417]) ).
cnf(c_11990,plain,
( sk_c7 != sk_c8
| sk_c7 != sk_c8
| identity != sk_c8
| sk_c5 = sk_c7 ),
inference(copy,[status(thm)],[c_11989]) ).
cnf(c_4395,plain,
( sk_c7 != sk_c8
| identity != sk_c8
| sk_c5 = sk_c7 ),
inference(copy,[status(thm)],[c_11990]) ).
cnf(c_11991,plain,
( sk_c5 = sk_c7
| sk_c7 != sk_c8
| sk_c5 = sk_c7 ),
inference(resolve,[status(thm)],[c_4395,c_3910]) ).
cnf(c_4469,plain,
( sk_c7 != sk_c8
| sk_c5 = sk_c7 ),
inference(copy,[status(thm)],[c_11991]) ).
cnf(c_11992,plain,
( multiply(sk_c2,multiply(sk_c7,sk_c8)) = multiply(sk_c8,multiply(sk_c3,sk_c7))
| multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_155,c_118]) ).
cnf(c_11993,plain,
( multiply(sk_c8,multiply(sk_c3,sk_c7)) = multiply(sk_c2,multiply(sk_c7,sk_c8))
| multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(copy,[status(thm)],[c_11992]) ).
cnf(c_4859,plain,
( multiply(sk_c8,multiply(sk_c3,sk_c7)) = multiply(sk_c2,multiply(sk_c7,sk_c8))
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(copy,[status(thm)],[c_11993]) ).
cnf(c_11994,plain,
( identity = sk_c6
| inverse(sk_c1) = sk_c2
| inverse(sk_c1) = sk_c2 ),
inference(paramod,[status(thm)],[c_617,c_14]) ).
cnf(c_6682,plain,
( identity = sk_c6
| inverse(sk_c1) = sk_c2 ),
inference(copy,[status(thm)],[c_11994]) ).
cnf(c_6689,plain,
( multiply(sk_c2,sk_c1) = identity
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_6682,c_2]) ).
cnf(c_11995,plain,
( multiply(inverse(sk_c2),identity) = sk_c1
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_6689,c_71]) ).
cnf(c_6732,plain,
( inverse(sk_c2) = sk_c1
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_246,c_11995]) ).
cnf(c_6772,plain,
( multiply(sk_c1,sk_c2) = identity
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_6732,c_2]) ).
cnf(c_6803,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| identity = sk_c8
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_6772,c_8]) ).
cnf(c_7224,plain,
( multiply(sk_c8,sk_c7) = identity
| multiply(sk_c8,sk_c3) = identity ),
inference(paramod,[status(thm)],[c_800,c_2]) ).
cnf(c_7302,plain,
( multiply(sk_c7,sk_c8) != identity
| sk_c7 != sk_c8
| inverse(sk_c8) != sk_c7
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(resolve,[status(thm)],[c_866,c_292]) ).
cnf(c_11996,plain,
( inverse(sk_c8) = sk_c7
| sk_c7 = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_1426,c_28]) ).
cnf(c_8543,plain,
( sk_c7 = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_11996]) ).
cnf(c_11997,plain,
( sk_c7 = sk_c8
| sk_c4 = sk_c7
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_8543,c_2431]) ).
cnf(c_8586,plain,
( sk_c4 = sk_c7
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_11997]) ).
cnf(c_11998,plain,
( sk_c7 = sk_c8
| sk_c5 = sk_c7
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_8543,c_4102]) ).
cnf(c_8595,plain,
( sk_c5 = sk_c7
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_11998]) ).
cnf(c_11999,plain,
( sk_c4 = sk_c7
| sk_c4 = sk_c7 ),
inference(resolve,[status(thm)],[c_8586,c_2560]) ).
cnf(c_8626,plain,
sk_c4 = sk_c7,
inference(copy,[status(thm)],[c_11999]) ).
cnf(c_9136,plain,
( inverse(sk_c8) = sk_c3
| multiply(sk_c7,sk_c7) = sk_c8 ),
inference(paramod,[status(thm)],[c_8626,c_3405]) ).
cnf(c_9265,plain,
( multiply(sk_c7,multiply(sk_c7,sk_c6)) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(paramod,[status(thm)],[c_8626,c_640]) ).
cnf(c_9320,plain,
( multiply(sk_c7,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(paramod,[status(thm)],[c_8626,c_30]) ).
cnf(c_12000,plain,
( sk_c5 = sk_c7
| sk_c5 = sk_c7 ),
inference(resolve,[status(thm)],[c_8595,c_4469]) ).
cnf(c_9322,plain,
sk_c5 = sk_c7,
inference(copy,[status(thm)],[c_12000]) ).
cnf(c_9427,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| identity = sk_c8
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_9322,c_6803]) ).
cnf(c_9498,plain,
( multiply(sk_c8,multiply(sk_c7,sk_c8)) = sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_9322,c_3785]) ).
cnf(c_12001,plain,
( sk_c7 = inverse(sk_c2)
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_209,c_1219]) ).
cnf(c_12002,plain,
( inverse(sk_c2) = sk_c7
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_12001]) ).
cnf(c_9642,plain,
( inverse(sk_c2) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_12002]) ).
cnf(c_12003,plain,
( sk_c7 = sk_c1
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_9642,c_347]) ).
cnf(c_12004,plain,
( sk_c1 = sk_c7
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_12003]) ).
cnf(c_9752,plain,
( sk_c1 = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_12004]) ).
cnf(c_12005,plain,
( sk_c1 = sk_c8
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_8543,c_9752]) ).
cnf(c_9792,plain,
( sk_c1 = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_12005]) ).
cnf(c_12006,plain,
( multiply(inverse(sk_c8),sk_c8) = sk_c2
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_9792,c_185]) ).
cnf(c_12007,plain,
( identity = sk_c2
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_2,c_12006]) ).
cnf(c_9904,plain,
( identity = sk_c2
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_12007]) ).
cnf(c_12008,plain,
( sk_c2 = sk_c8
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_9904,c_1217]) ).
cnf(c_10014,plain,
( sk_c2 = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_12008]) ).
cnf(c_12009,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_10014,c_9642]) ).
cnf(c_12010,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_12009]) ).
cnf(c_10071,plain,
inverse(sk_c8) = sk_c7,
inference(copy,[status(thm)],[c_12010]) ).
cnf(c_12011,plain,
( sk_c7 = sk_c3
| multiply(sk_c7,sk_c7) = sk_c8 ),
inference(paramod,[status(thm)],[c_10071,c_9136]) ).
cnf(c_10154,plain,
( sk_c3 = sk_c7
| multiply(sk_c7,sk_c7) = sk_c8 ),
inference(copy,[status(thm)],[c_12011]) ).
cnf(c_12012,plain,
( multiply(sk_c7,sk_c8) != identity
| sk_c7 != sk_c8
| sk_c7 != sk_c7
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_10071,c_7302]) ).
cnf(c_10265,plain,
( multiply(sk_c7,sk_c8) != identity
| sk_c7 != sk_c8
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(copy,[status(thm)],[c_12012]) ).
cnf(c_12013,plain,
( sk_c7 = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_10071,c_3549]) ).
cnf(c_10321,plain,
( sk_c3 = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(copy,[status(thm)],[c_12013]) ).
cnf(c_12014,plain,
( sk_c7 != sk_c7
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(paramod,[status(thm)],[c_10071,c_417]) ).
cnf(c_10466,plain,
( sk_c7 != sk_c8
| identity != sk_c8 ),
inference(copy,[status(thm)],[c_12014]) ).
cnf(c_12015,plain,
( multiply(sk_c7,sk_c8) != identity
| sk_c7 != sk_c8
| sk_c7 != sk_c7
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(paramod,[status(thm)],[c_10071,c_292]) ).
cnf(c_10476,plain,
( multiply(sk_c7,sk_c8) != identity
| sk_c7 != sk_c8
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(copy,[status(thm)],[c_12015]) ).
cnf(c_12016,plain,
( multiply(sk_c7,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c7) != sk_c8
| multiply(sk_c7,sk_c7) != sk_c8
| sk_c7 != sk_c7
| multiply(sk_c8,sk_c7) != sk_c8 ),
inference(paramod,[status(thm)],[c_10071,c_70]) ).
cnf(c_10480,plain,
( multiply(sk_c7,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c7) != sk_c8
| multiply(sk_c7,sk_c7) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c8 ),
inference(copy,[status(thm)],[c_12016]) ).
cnf(c_10487,plain,
multiply(sk_c7,sk_c8) = identity,
inference(paramod,[status(thm)],[c_10071,c_2]) ).
cnf(c_10490,plain,
( identity != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c7) != sk_c8
| multiply(sk_c7,sk_c7) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c8 ),
inference(paramod,[status(thm)],[c_10487,c_10480]) ).
cnf(c_12017,plain,
( identity != identity
| sk_c7 != sk_c8
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(paramod,[status(thm)],[c_10487,c_10476]) ).
cnf(c_10491,plain,
( sk_c7 != sk_c8
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(copy,[status(thm)],[c_12017]) ).
cnf(c_12018,plain,
( identity != identity
| sk_c7 != sk_c8
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_10487,c_10265]) ).
cnf(c_10541,plain,
( sk_c7 != sk_c8
| inverse(sk_c7) != sk_c8
| inverse(sk_c7) != sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(copy,[status(thm)],[c_12018]) ).
cnf(c_12019,plain,
( multiply(sk_c8,identity) = sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_10487,c_9498]) ).
cnf(c_12020,plain,
( sk_c8 = sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_246,c_12019]) ).
cnf(c_10615,plain,
( sk_c7 = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(copy,[status(thm)],[c_12020]) ).
cnf(c_12021,plain,
( identity = sk_c6
| identity = sk_c8
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_10487,c_9427]) ).
cnf(c_10654,plain,
( identity = sk_c8
| identity = sk_c6 ),
inference(copy,[status(thm)],[c_12021]) ).
cnf(c_12022,plain,
( multiply(sk_c8,multiply(sk_c3,sk_c7)) = multiply(sk_c2,identity)
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_10487,c_4859]) ).
cnf(c_10704,plain,
( multiply(sk_c8,multiply(sk_c3,sk_c7)) = sk_c2
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_246,c_12022]) ).
cnf(c_10825,plain,
( sk_c7 != sk_c8
| identity = sk_c6 ),
inference(resolve,[status(thm)],[c_10654,c_10466]) ).
cnf(c_12023,plain,
( inverse(sk_c8) = identity
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_10654,c_290]) ).
cnf(c_12024,plain,
( sk_c7 = identity
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_10071,c_12023]) ).
cnf(c_10830,plain,
( identity = sk_c7
| identity = sk_c6 ),
inference(copy,[status(thm)],[c_12024]) ).
cnf(c_12025,plain,
( sk_c7 = sk_c8
| identity = sk_c6
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_10830,c_10654]) ).
cnf(c_10863,plain,
( sk_c7 = sk_c8
| identity = sk_c6 ),
inference(copy,[status(thm)],[c_12025]) ).
cnf(c_12026,plain,
( identity = sk_c6
| identity = sk_c6 ),
inference(resolve,[status(thm)],[c_10863,c_10825]) ).
cnf(c_10864,plain,
identity = sk_c6,
inference(copy,[status(thm)],[c_12026]) ).
cnf(c_10943,plain,
( sk_c6 != A
| multiply(sk_c8,A) != sk_c7
| inverse(sk_c7) != sk_c8
| multiply(sk_c7,sk_c7) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c8 ),
inference(paramod,[status(thm)],[c_10864,c_10490]) ).
cnf(c_10945,plain,
multiply(sk_c7,sk_c8) = sk_c6,
inference(paramod,[status(thm)],[c_10864,c_10487]) ).
cnf(c_12027,plain,
( multiply(sk_c8,sk_c7) = identity
| multiply(sk_c8,sk_c3) = sk_c6 ),
inference(paramod,[status(thm)],[c_10864,c_7224]) ).
cnf(c_11140,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c3) = sk_c6 ),
inference(paramod,[status(thm)],[c_10864,c_12027]) ).
cnf(c_11242,plain,
multiply(A,sk_c6) = A,
inference(paramod,[status(thm)],[c_10864,c_246]) ).
cnf(c_12028,plain,
( multiply(sk_c8,multiply(sk_c3,sk_c7)) = sk_c2
| sk_c8 = sk_c7 ),
inference(paramod,[status(thm)],[c_11242,c_10704]) ).
cnf(c_11329,plain,
( multiply(sk_c8,multiply(sk_c3,sk_c7)) = sk_c2
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_12028]) ).
cnf(c_12029,plain,
( sk_c3 = sk_c7
| sk_c8 = sk_c7 ),
inference(paramod,[status(thm)],[c_11242,c_10321]) ).
cnf(c_11331,plain,
( sk_c3 = sk_c7
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_12029]) ).
cnf(c_11348,plain,
( multiply(sk_c7,sk_c7) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(paramod,[status(thm)],[c_11242,c_9265]) ).
cnf(c_12030,plain,
( inverse(sk_c2) = sk_c1
| sk_c8 = sk_c7 ),
inference(paramod,[status(thm)],[c_11242,c_1360]) ).
cnf(c_11411,plain,
( inverse(sk_c2) = sk_c1
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_12030]) ).
cnf(c_12031,plain,
( multiply(inverse(sk_c2),sk_c8) = sk_c7
| sk_c8 = sk_c7 ),
inference(paramod,[status(thm)],[c_11242,c_215]) ).
cnf(c_11423,plain,
( multiply(inverse(sk_c2),sk_c8) = sk_c7
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_12031]) ).
cnf(c_12032,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c8,
inference(paramod,[status(thm)],[c_10945,c_71]) ).
cnf(c_11537,plain,
inverse(sk_c7) = sk_c8,
inference(paramod,[status(thm)],[c_11242,c_12032]) ).
cnf(c_12033,plain,
( sk_c6 != A
| multiply(sk_c8,A) != sk_c7
| sk_c8 != sk_c8
| multiply(sk_c7,sk_c7) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c8 ),
inference(paramod,[status(thm)],[c_11537,c_10943]) ).
cnf(c_11553,plain,
( sk_c6 != A
| multiply(sk_c8,A) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c8 ),
inference(copy,[status(thm)],[c_12033]) ).
cnf(c_12034,plain,
( sk_c7 != sk_c8
| inverse(sk_c7) != sk_c8
| sk_c8 != sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_11537,c_10541]) ).
cnf(c_12035,plain,
( sk_c7 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(paramod,[status(thm)],[c_11537,c_12034]) ).
cnf(c_12036,plain,
( sk_c7 != sk_c8
| sk_c8 != sk_c8
| sk_c7 != sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(copy,[status(thm)],[c_12035]) ).
cnf(c_12037,plain,
( sk_c7 != sk_c8
| sk_c7 != sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(copy,[status(thm)],[c_12036]) ).
cnf(c_11569,plain,
( sk_c7 != sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(copy,[status(thm)],[c_12037]) ).
cnf(c_12038,plain,
( sk_c7 != sk_c8
| inverse(sk_c7) != sk_c8
| sk_c8 != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(paramod,[status(thm)],[c_11537,c_10491]) ).
cnf(c_12039,plain,
( sk_c7 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(paramod,[status(thm)],[c_11537,c_12038]) ).
cnf(c_12040,plain,
( sk_c7 != sk_c8
| sk_c8 != sk_c8
| sk_c7 != sk_c8
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(copy,[status(thm)],[c_12039]) ).
cnf(c_12041,plain,
( sk_c7 != sk_c8
| sk_c7 != sk_c8
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(copy,[status(thm)],[c_12040]) ).
cnf(c_11574,plain,
( sk_c7 != sk_c8
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(copy,[status(thm)],[c_12041]) ).
cnf(c_12042,plain,
( inverse(sk_c3) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(resolve,[status(thm)],[c_11569,c_10615]) ).
cnf(c_11694,plain,
inverse(sk_c3) = sk_c8,
inference(copy,[status(thm)],[c_12042]) ).
cnf(c_11724,plain,
multiply(sk_c8,multiply(sk_c3,A)) = A,
inference(paramod,[status(thm)],[c_11694,c_71]) ).
cnf(c_12043,plain,
( sk_c7 = sk_c2
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_11724,c_11329]) ).
cnf(c_11726,plain,
( sk_c2 = sk_c7
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_12043]) ).
cnf(c_11731,plain,
( multiply(sk_c7,sk_c7) != sk_c8
| sk_c2 = sk_c7 ),
inference(resolve,[status(thm)],[c_11726,c_11574]) ).
cnf(c_12044,plain,
( inverse(sk_c7) = sk_c1
| sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_11726,c_11411]) ).
cnf(c_12045,plain,
( sk_c8 = sk_c1
| sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_11537,c_12044]) ).
cnf(c_12046,plain,
( sk_c1 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_12045]) ).
cnf(c_11746,plain,
( sk_c1 = sk_c8
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_12046]) ).
cnf(c_11755,plain,
( multiply(sk_c7,sk_c7) != sk_c8
| sk_c1 = sk_c8 ),
inference(resolve,[status(thm)],[c_11746,c_11574]) ).
cnf(c_11835,plain,
( sk_c7 != sk_c8
| sk_c3 = sk_c7 ),
inference(resolve,[status(thm)],[c_10154,c_11574]) ).
cnf(c_12047,plain,
( sk_c3 = sk_c7
| sk_c3 = sk_c7 ),
inference(resolve,[status(thm)],[c_11835,c_11331]) ).
cnf(c_11849,plain,
sk_c3 = sk_c7,
inference(copy,[status(thm)],[c_12047]) ).
cnf(c_12048,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_11849,c_11140]) ).
cnf(c_11893,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(copy,[status(thm)],[c_12048]) ).
cnf(c_12049,plain,
( multiply(sk_c7,sk_c7) = sk_c8
| multiply(sk_c7,sk_c7) = sk_c8 ),
inference(paramod,[status(thm)],[c_11849,c_9320]) ).
cnf(c_11908,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(copy,[status(thm)],[c_12049]) ).
cnf(c_12050,plain,
( sk_c6 != A
| multiply(sk_c8,A) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8
| sk_c6 != sk_c8 ),
inference(paramod,[status(thm)],[c_11893,c_11553]) ).
cnf(c_12051,plain,
( sk_c6 != A
| multiply(sk_c8,A) != sk_c7
| sk_c8 != sk_c8
| sk_c6 != sk_c8 ),
inference(paramod,[status(thm)],[c_11908,c_12050]) ).
cnf(c_11918,plain,
( sk_c6 != A
| multiply(sk_c8,A) != sk_c7
| sk_c6 != sk_c8 ),
inference(copy,[status(thm)],[c_12051]) ).
cnf(c_12052,plain,
( sk_c8 != sk_c8
| sk_c1 = sk_c8 ),
inference(paramod,[status(thm)],[c_11908,c_11755]) ).
cnf(c_11925,plain,
sk_c1 = sk_c8,
inference(copy,[status(thm)],[c_12052]) ).
cnf(c_12053,plain,
( sk_c8 != sk_c8
| sk_c2 = sk_c7 ),
inference(paramod,[status(thm)],[c_11908,c_11731]) ).
cnf(c_11926,plain,
sk_c2 = sk_c7,
inference(copy,[status(thm)],[c_12053]) ).
cnf(c_12054,plain,
( sk_c7 != sk_c8
| sk_c8 != sk_c8 ),
inference(paramod,[status(thm)],[c_11908,c_11574]) ).
cnf(c_11929,plain,
sk_c7 != sk_c8,
inference(copy,[status(thm)],[c_12054]) ).
cnf(c_12055,plain,
( multiply(sk_c7,sk_c7) = sk_c7
| multiply(sk_c8,sk_c2) = sk_c8 ),
inference(paramod,[status(thm)],[c_11925,c_11348]) ).
cnf(c_12056,plain,
( multiply(sk_c7,sk_c7) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(paramod,[status(thm)],[c_11926,c_12055]) ).
cnf(c_12057,plain,
( multiply(sk_c7,sk_c7) = sk_c7
| sk_c6 = sk_c8 ),
inference(paramod,[status(thm)],[c_11893,c_12056]) ).
cnf(c_12058,plain,
( sk_c8 = sk_c7
| sk_c6 = sk_c8 ),
inference(paramod,[status(thm)],[c_11908,c_12057]) ).
cnf(c_12059,plain,
( sk_c7 = sk_c8
| sk_c6 = sk_c8 ),
inference(copy,[status(thm)],[c_12058]) ).
cnf(c_11932,plain,
sk_c6 = sk_c8,
inference(resolve,[status(thm)],[c_11929,c_12059]) ).
cnf(c_12060,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| sk_c6 != sk_c8 ),
inference(factor,[status(thm)],[c_11918]) ).
cnf(c_12061,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| sk_c8 != sk_c8 ),
inference(paramod,[status(thm)],[c_11932,c_12060]) ).
cnf(c_11934,plain,
multiply(sk_c8,sk_c8) != sk_c7,
inference(copy,[status(thm)],[c_12061]) ).
cnf(c_12062,plain,
( multiply(inverse(sk_c7),sk_c8) = sk_c7
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_11926,c_11423]) ).
cnf(c_12063,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_11537,c_12062]) ).
cnf(c_12064,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(resolve,[status(thm)],[c_11929,c_12063]) ).
cnf(c_11938,plain,
$false,
inference(resolve,[status(thm)],[c_11934,c_12064]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP212-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.52 % Computer : n013.cluster.edu
% 0.09/5.52 % Model : x86_64 x86_64
% 0.09/5.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.52 % Memory : 8046.5625MB
% 0.09/5.52 % OS : Linux 6.8.0-71-generic
% 0.09/5.52 % CPULimit : 300
% 0.09/5.52 % WCLimit : 300
% 0.09/5.52 % DateTime : Fri Sep 25 14:37:50 UTC 2026
% 0.09/5.53 % CPUTime :
% 0.09/5.53 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.53 % Process 641596 was started by sandbox2 on n013,
% 0.09/5.53 % Fri Sep 25 14:37:50 2026
% 0.09/5.53 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/5.53
% 0.09/5.53 % From the command line: assign(max_seconds, 300).
% 63.27/13.57
% 63.27/13.57 % given #500 (A,wt=19): 443 inverse(sk_c7) = sk_c8 | multiply(sk_c2,multiply(sk_c1,A)) = A. [para(358(a,1),71(a,1,1))].
% 63.27/13.57
% 63.27/13.57 % SZS status Unsatisfiable for theBenchmark
% 63.27/13.57
% 63.27/13.57 % Proof 1 at 6.15 (+ 1.75) seconds.
% 63.27/13.57 % Length of proof is 173.
% 63.27/13.57 % Level of proof is 31.
% 63.27/13.57 % Maximum clause weight is 54.000.
% 63.27/13.57 % Given clauses 550.
% 63.27/13.57
% 63.27/13.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------