%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP229-1 : 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 : n026.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 07:28:24 AM UTC 2026
% Result : Unsatisfiable 31.43s 4.56s
% Output : CNFRefutation 32.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 113
% Number of leaves : 33
% Syntax : Number of formulae : 299 ( 27 unt; 0 def)
% Number of atoms : 1008 (1007 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1076 ( 367 ~; 709 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 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 : 136 ( 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
| inverse(sk_c1) = sk_c8 ),
file('theBenchmark.p',prove_this_1) ).
cnf(c_4,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_1]) ).
fof(prove_this_2,axiom,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('theBenchmark.p',prove_this_2) ).
cnf(c_5,plain,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_2]) ).
fof(prove_this_3,axiom,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('theBenchmark.p',prove_this_3) ).
cnf(c_6,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_3]) ).
fof(prove_this_4,axiom,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('theBenchmark.p',prove_this_4) ).
cnf(c_7,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_4]) ).
fof(prove_this_5,axiom,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('theBenchmark.p',prove_this_5) ).
cnf(c_8,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_5]) ).
fof(prove_this_6,axiom,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('theBenchmark.p',prove_this_6) ).
cnf(c_9,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_6]) ).
fof(prove_this_7,axiom,
( inverse(sk_c8) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_7) ).
cnf(c_10,plain,
( inverse(sk_c8) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_7]) ).
fof(prove_this_8,axiom,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_8) ).
cnf(c_11,plain,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_8]) ).
fof(prove_this_9,axiom,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_9) ).
cnf(c_12,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_9]) ).
fof(prove_this_10,axiom,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_10) ).
cnf(c_13,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_10]) ).
fof(prove_this_11,axiom,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_11) ).
cnf(c_14,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_11]) ).
fof(prove_this_12,axiom,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_12) ).
cnf(c_15,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_12]) ).
fof(prove_this_13,axiom,
( inverse(sk_c8) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('theBenchmark.p',prove_this_13) ).
cnf(c_16,plain,
( inverse(sk_c8) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_13]) ).
fof(prove_this_14,axiom,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('theBenchmark.p',prove_this_14) ).
cnf(c_17,plain,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_14]) ).
fof(prove_this_15,axiom,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('theBenchmark.p',prove_this_15) ).
cnf(c_18,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_15]) ).
fof(prove_this_16,axiom,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('theBenchmark.p',prove_this_16) ).
cnf(c_19,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_16]) ).
fof(prove_this_17,axiom,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('theBenchmark.p',prove_this_17) ).
cnf(c_20,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_17]) ).
fof(prove_this_18,axiom,
( inverse(sk_c5) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('theBenchmark.p',prove_this_18) ).
cnf(c_21,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_18]) ).
fof(prove_this_19,axiom,
( inverse(sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('theBenchmark.p',prove_this_19) ).
cnf(c_22,plain,
( inverse(sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
inference(clausify,[status(thm)],[prove_this_19]) ).
fof(prove_this_20,axiom,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('theBenchmark.p',prove_this_20) ).
cnf(c_23,plain,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
inference(clausify,[status(thm)],[prove_this_20]) ).
fof(prove_this_22,axiom,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('theBenchmark.p',prove_this_22) ).
cnf(c_25,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
inference(clausify,[status(thm)],[prove_this_22]) ).
fof(prove_this_23,axiom,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('theBenchmark.p',prove_this_23) ).
cnf(c_26,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c3 ),
inference(clausify,[status(thm)],[prove_this_23]) ).
fof(prove_this_24,axiom,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('theBenchmark.p',prove_this_24) ).
cnf(c_27,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
inference(clausify,[status(thm)],[prove_this_24]) ).
fof(prove_this_25,axiom,
( inverse(sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('theBenchmark.p',prove_this_25) ).
cnf(c_28,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_25]) ).
fof(prove_this_26,axiom,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('theBenchmark.p',prove_this_26) ).
cnf(c_29,plain,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_26]) ).
fof(prove_this_27,axiom,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('theBenchmark.p',prove_this_27) ).
cnf(c_30,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_27]) ).
fof(prove_this_28,axiom,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('theBenchmark.p',prove_this_28) ).
cnf(c_31,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_28]) ).
fof(prove_this_29,axiom,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('theBenchmark.p',prove_this_29) ).
cnf(c_32,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_29]) ).
fof(prove_this_30,axiom,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('theBenchmark.p',prove_this_30) ).
cnf(c_33,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_30]) ).
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
| inverse(VAR_2) != sk_c8
| multiply(VAR_2,sk_c8) != VAR_1
| multiply(sk_c8,VAR_1) != sk_c7
| multiply(VAR_0,sk_c7) != sk_c8
| inverse(VAR_0) != 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
| 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 ),
inference(clausify,[status(thm)],[prove_this_31]) ).
cnf(c_35,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
| multiply(A,sk_c8) != B
| multiply(sk_c8,B) != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8 ),
inference(factor,[status(thm)],[c_34]) ).
cnf(c_7793,plain,
( inverse(E) != sk_c8
| multiply(E,sk_c8) != D
| multiply(sk_c8,D) != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c7
| 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 ),
inference(factor,[status(thm)],[c_34]) ).
cnf(c_36,plain,
( inverse(E) != sk_c8
| multiply(E,sk_c8) != D
| multiply(sk_c8,D) != sk_c7
| inverse(sk_c8) != sk_c7
| 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 ),
inference(copy,[status(thm)],[c_7793]) ).
cnf(c_7794,plain,
( inverse(D) != sk_c8
| multiply(D,sk_c8) != C
| multiply(sk_c8,C) != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c7
| multiply(A,sk_c8) != B
| multiply(sk_c8,B) != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8 ),
inference(factor,[status(thm)],[c_35]) ).
cnf(c_38,plain,
( inverse(D) != sk_c8
| multiply(D,sk_c8) != C
| multiply(sk_c8,C) != sk_c7
| inverse(sk_c8) != sk_c7
| multiply(A,sk_c8) != B
| multiply(sk_c8,B) != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8 ),
inference(copy,[status(thm)],[c_7794]) ).
cnf(c_7795,plain,
( inverse(C) != sk_c8
| multiply(sk_c8,B) != sk_c7
| inverse(sk_c8) != sk_c7
| 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 ),
inference(factor,[status(thm)],[c_36]) ).
cnf(c_7796,plain,
( inverse(C) != sk_c8
| inverse(sk_c8) != sk_c7
| 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 ),
inference(copy,[status(thm)],[c_7795]) ).
cnf(c_41,plain,
( inverse(sk_c8) != sk_c7
| 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 ),
inference(copy,[status(thm)],[c_7796]) ).
cnf(c_7797,plain,
( inverse(A) != sk_c8
| multiply(sk_c8,B) != sk_c7
| inverse(sk_c8) != sk_c7
| multiply(A,sk_c8) != B
| multiply(sk_c8,B) != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8 ),
inference(factor,[status(thm)],[c_38]) ).
cnf(c_7798,plain,
( inverse(A) != sk_c8
| inverse(sk_c8) != sk_c7
| multiply(A,sk_c8) != B
| multiply(sk_c8,B) != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8 ),
inference(copy,[status(thm)],[c_7797]) ).
cnf(c_43,plain,
( inverse(sk_c8) != sk_c7
| multiply(A,sk_c8) != B
| multiply(sk_c8,B) != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8 ),
inference(copy,[status(thm)],[c_7798]) ).
cnf(c_7799,plain,
multiply(identity,A) = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_2,c_3]) ).
cnf(c_7800,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_1,c_7799]) ).
cnf(c_44,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(copy,[status(thm)],[c_7800]) ).
cnf(c_45,plain,
( multiply(sk_c8,sk_c1) = identity
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_4,c_2]) ).
cnf(c_7801,plain,
( multiply(sk_c8,A) = multiply(sk_c1,multiply(sk_c7,A))
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_10,c_3]) ).
cnf(c_54,plain,
( multiply(sk_c1,multiply(sk_c7,A)) = multiply(sk_c8,A)
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_7801]) ).
cnf(c_7802,plain,
( multiply(sk_c8,A) = multiply(sk_c1,multiply(sk_c7,A))
| inverse(sk_c4) = sk_c8 ),
inference(paramod,[status(thm)],[c_11,c_3]) ).
cnf(c_56,plain,
( multiply(sk_c1,multiply(sk_c7,A)) = multiply(sk_c8,A)
| inverse(sk_c4) = sk_c8 ),
inference(copy,[status(thm)],[c_7802]) ).
cnf(c_90,plain,
( multiply(sk_c8,sk_c2) = identity
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_28,c_2]) ).
cnf(c_121,plain,
( inverse(sk_c8) != sk_c7
| inverse(inverse(sk_c8)) != sk_c8
| multiply(sk_c8,identity) != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8 ),
inference(resolve,[status(thm)],[c_41,c_2]) ).
cnf(c_124,plain,
( inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| sk_c7 != sk_c8
| inverse(identity) != sk_c8 ),
inference(paramod,[status(thm)],[c_1,c_41]) ).
cnf(c_7803,plain,
( inverse(sk_c8) != sk_c7
| multiply(identity,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| sk_c7 != sk_c8
| inverse(identity) != sk_c8 ),
inference(factor,[status(thm)],[c_124]) ).
cnf(c_163,plain,
( inverse(sk_c8) != sk_c7
| sk_c8 != A
| multiply(sk_c8,A) != sk_c7
| sk_c7 != sk_c8
| inverse(identity) != sk_c8 ),
inference(paramod,[status(thm)],[c_1,c_7803]) ).
cnf(c_176,plain,
multiply(inverse(inverse(A)),identity) = A,
inference(paramod,[status(thm)],[c_2,c_44]) ).
cnf(c_208,plain,
multiply(inverse(inverse(A)),B) = multiply(A,B),
inference(paramod,[status(thm)],[c_44,c_44]) ).
cnf(c_209,plain,
multiply(A,identity) = A,
inference(paramod,[status(thm)],[c_208,c_176]) ).
cnf(c_7804,plain,
( inverse(sk_c8) != sk_c7
| inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8 ),
inference(paramod,[status(thm)],[c_209,c_121]) ).
cnf(c_211,plain,
( inverse(sk_c8) != sk_c7
| inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != sk_c8
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8 ),
inference(copy,[status(thm)],[c_7804]) ).
cnf(c_252,plain,
inverse(identity) = identity,
inference(paramod,[status(thm)],[c_209,c_2]) ).
cnf(c_7805,plain,
( inverse(sk_c8) != sk_c7
| sk_c8 != identity
| sk_c8 != sk_c7
| sk_c7 != sk_c8
| inverse(identity) != sk_c8 ),
inference(paramod,[status(thm)],[c_209,c_163]) ).
cnf(c_7806,plain,
( inverse(sk_c8) != sk_c7
| sk_c8 != identity
| sk_c8 != sk_c7
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(paramod,[status(thm)],[c_252,c_7805]) ).
cnf(c_7807,plain,
( inverse(sk_c8) != sk_c7
| sk_c8 != identity
| sk_c7 != sk_c8
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(copy,[status(thm)],[c_7806]) ).
cnf(c_7808,plain,
( inverse(sk_c8) != sk_c7
| identity != sk_c8
| sk_c7 != sk_c8
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(copy,[status(thm)],[c_7807]) ).
cnf(c_7809,plain,
( inverse(sk_c8) != sk_c7
| identity != sk_c8
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(copy,[status(thm)],[c_7808]) ).
cnf(c_255,plain,
( inverse(sk_c8) != sk_c7
| sk_c7 != sk_c8
| identity != sk_c8 ),
inference(copy,[status(thm)],[c_7809]) ).
cnf(c_7810,plain,
( multiply(inverse(sk_c8),identity) = sk_c1
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_45,c_44]) ).
cnf(c_269,plain,
( inverse(sk_c8) = sk_c1
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_209,c_7810]) ).
cnf(c_270,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_269,c_2]) ).
cnf(c_7811,plain,
( multiply(inverse(sk_c8),identity) = sk_c2
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_90,c_44]) ).
cnf(c_319,plain,
( inverse(sk_c8) = sk_c2
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_209,c_7811]) ).
cnf(c_7812,plain,
( sk_c2 = sk_c1
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_319,c_269]) ).
cnf(c_322,plain,
( sk_c2 = sk_c1
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_7812]) ).
cnf(c_7813,plain,
( inverse(sk_c2) = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| multiply(sk_c4,sk_c7) != sk_c8 ),
inference(resolve,[status(thm)],[c_41,c_29]) ).
cnf(c_7814,plain,
( inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7 ),
inference(resolve,[status(thm)],[c_7813,c_30]) ).
cnf(c_7815,plain,
( inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(A) != sk_c8
| multiply(A,sk_c8) != sk_c6 ),
inference(resolve,[status(thm)],[c_7814,c_31]) ).
cnf(c_7816,plain,
( inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(sk_c5) != sk_c8 ),
inference(resolve,[status(thm)],[c_7815,c_32]) ).
cnf(c_7817,plain,
( inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(resolve,[status(thm)],[c_7816,c_33]) ).
cnf(c_7818,plain,
( sk_c2 = sk_c1
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(resolve,[status(thm)],[c_7817,c_322]) ).
cnf(c_7819,plain,
( sk_c2 = sk_c1
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(copy,[status(thm)],[c_7818]) ).
cnf(c_7820,plain,
( sk_c2 = sk_c1
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(copy,[status(thm)],[c_7819]) ).
cnf(c_7821,plain,
( sk_c2 = sk_c1
| inverse(sk_c2) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(copy,[status(thm)],[c_7820]) ).
cnf(c_325,plain,
( sk_c2 = sk_c1
| inverse(sk_c2) = sk_c8 ),
inference(copy,[status(thm)],[c_7821]) ).
cnf(c_7822,plain,
( inverse(sk_c1) = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| multiply(sk_c4,sk_c7) != sk_c8 ),
inference(resolve,[status(thm)],[c_41,c_5]) ).
cnf(c_7823,plain,
( inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7 ),
inference(resolve,[status(thm)],[c_7822,c_6]) ).
cnf(c_7824,plain,
( inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(A) != sk_c8
| multiply(A,sk_c8) != sk_c6 ),
inference(resolve,[status(thm)],[c_7823,c_7]) ).
cnf(c_7825,plain,
( inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(sk_c5) != sk_c8 ),
inference(resolve,[status(thm)],[c_7824,c_8]) ).
cnf(c_7826,plain,
( inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(resolve,[status(thm)],[c_7825,c_9]) ).
cnf(c_7827,plain,
( sk_c2 = sk_c1
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(resolve,[status(thm)],[c_7826,c_322]) ).
cnf(c_7828,plain,
( sk_c2 = sk_c1
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(copy,[status(thm)],[c_7827]) ).
cnf(c_7829,plain,
( sk_c2 = sk_c1
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(copy,[status(thm)],[c_7828]) ).
cnf(c_7830,plain,
( sk_c2 = sk_c1
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(copy,[status(thm)],[c_7829]) ).
cnf(c_330,plain,
( sk_c2 = sk_c1
| inverse(sk_c1) = sk_c8 ),
inference(copy,[status(thm)],[c_7830]) ).
cnf(c_376,plain,
( multiply(sk_c8,sk_c2) = identity
| sk_c2 = sk_c1 ),
inference(paramod,[status(thm)],[c_325,c_2]) ).
cnf(c_381,plain,
( multiply(sk_c8,sk_c1) = identity
| sk_c2 = sk_c1 ),
inference(paramod,[status(thm)],[c_330,c_2]) ).
cnf(c_7831,plain,
( multiply(inverse(sk_c8),identity) = sk_c2
| sk_c2 = sk_c1 ),
inference(paramod,[status(thm)],[c_376,c_44]) ).
cnf(c_450,plain,
( inverse(sk_c8) = sk_c2
| sk_c2 = sk_c1 ),
inference(paramod,[status(thm)],[c_209,c_7831]) ).
cnf(c_7832,plain,
( multiply(inverse(sk_c8),identity) = sk_c1
| sk_c2 = sk_c1 ),
inference(paramod,[status(thm)],[c_381,c_44]) ).
cnf(c_467,plain,
( inverse(sk_c8) = sk_c1
| sk_c2 = sk_c1 ),
inference(paramod,[status(thm)],[c_209,c_7832]) ).
cnf(c_7833,plain,
( sk_c1 = sk_c2
| sk_c2 = sk_c1
| sk_c2 = sk_c1 ),
inference(paramod,[status(thm)],[c_467,c_450]) ).
cnf(c_7834,plain,
( sk_c2 = sk_c1
| sk_c2 = sk_c1
| sk_c2 = sk_c1 ),
inference(copy,[status(thm)],[c_7833]) ).
cnf(c_7835,plain,
( sk_c2 = sk_c1
| sk_c2 = sk_c1 ),
inference(copy,[status(thm)],[c_7834]) ).
cnf(c_477,plain,
sk_c2 = sk_c1,
inference(copy,[status(thm)],[c_7835]) ).
cnf(c_531,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c3 ),
inference(paramod,[status(thm)],[c_477,c_27]) ).
cnf(c_532,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c3 ),
inference(paramod,[status(thm)],[c_477,c_26]) ).
cnf(c_533,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c3 ),
inference(paramod,[status(thm)],[c_477,c_25]) ).
cnf(c_535,plain,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c3 ),
inference(paramod,[status(thm)],[c_477,c_23]) ).
cnf(c_536,plain,
( inverse(sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c3 ),
inference(paramod,[status(thm)],[c_477,c_22]) ).
cnf(c_7836,plain,
( sk_c3 = identity
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_536,c_270]) ).
cnf(c_7837,plain,
( identity = sk_c3
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_7836]) ).
cnf(c_800,plain,
( identity = sk_c3
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_7837]) ).
cnf(c_7838,plain,
( inverse(sk_c1) = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| multiply(sk_c4,sk_c7) != sk_c8 ),
inference(resolve,[status(thm)],[c_41,c_5]) ).
cnf(c_7839,plain,
( inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7 ),
inference(resolve,[status(thm)],[c_7838,c_6]) ).
cnf(c_7840,plain,
( inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(A) != sk_c8
| multiply(A,sk_c8) != sk_c6 ),
inference(resolve,[status(thm)],[c_7839,c_7]) ).
cnf(c_7841,plain,
( inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(sk_c5) != sk_c8 ),
inference(resolve,[status(thm)],[c_7840,c_8]) ).
cnf(c_7842,plain,
( inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(resolve,[status(thm)],[c_7841,c_9]) ).
cnf(c_7843,plain,
( identity = sk_c3
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(resolve,[status(thm)],[c_7842,c_800]) ).
cnf(c_7844,plain,
( identity = sk_c3
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(copy,[status(thm)],[c_7843]) ).
cnf(c_7845,plain,
( identity = sk_c3
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(copy,[status(thm)],[c_7844]) ).
cnf(c_7846,plain,
( identity = sk_c3
| inverse(sk_c1) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(copy,[status(thm)],[c_7845]) ).
cnf(c_812,plain,
( identity = sk_c3
| inverse(sk_c1) = sk_c8 ),
inference(copy,[status(thm)],[c_7846]) ).
cnf(c_7847,plain,
( identity = sk_c3
| inverse(sk_c8) != sk_c7
| multiply(sk_c1,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| multiply(sk_c1,sk_c7) != sk_c8 ),
inference(resolve,[status(thm)],[c_43,c_812]) ).
cnf(c_7848,plain,
( inverse(sk_c5) = sk_c8
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| multiply(sk_c1,sk_c8) != A
| multiply(sk_c8,A) != sk_c7 ),
inference(resolve,[status(thm)],[c_7847,c_15]) ).
cnf(c_7849,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c5) = sk_c8
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| multiply(sk_c1,sk_c8) != sk_c3 ),
inference(resolve,[status(thm)],[c_7848,c_21]) ).
cnf(c_7850,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c5) = sk_c8
| inverse(sk_c5) = sk_c8
| identity = sk_c3
| inverse(sk_c8) != sk_c7 ),
inference(resolve,[status(thm)],[c_7849,c_531]) ).
cnf(c_7851,plain,
( identity = sk_c3
| inverse(sk_c5) = sk_c8
| inverse(sk_c5) = sk_c8
| inverse(sk_c5) = sk_c8
| identity = sk_c3 ),
inference(resolve,[status(thm)],[c_7850,c_800]) ).
cnf(c_7852,plain,
( identity = sk_c3
| inverse(sk_c5) = sk_c8
| inverse(sk_c5) = sk_c8
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7851]) ).
cnf(c_7853,plain,
( identity = sk_c3
| inverse(sk_c5) = sk_c8
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7852]) ).
cnf(c_835,plain,
( inverse(sk_c5) = sk_c8
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7853]) ).
cnf(c_7854,plain,
( identity = sk_c3
| inverse(sk_c8) != sk_c7
| multiply(sk_c1,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| multiply(sk_c1,sk_c7) != sk_c8 ),
inference(resolve,[status(thm)],[c_43,c_812]) ).
cnf(c_7855,plain,
( inverse(sk_c4) = sk_c8
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| multiply(sk_c1,sk_c8) != A
| multiply(sk_c8,A) != sk_c7 ),
inference(resolve,[status(thm)],[c_7854,c_11]) ).
cnf(c_7856,plain,
( inverse(sk_c4) = sk_c8
| inverse(sk_c4) = sk_c8
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| multiply(sk_c1,sk_c8) != sk_c3 ),
inference(resolve,[status(thm)],[c_7855,c_17]) ).
cnf(c_7857,plain,
( inverse(sk_c4) = sk_c8
| inverse(sk_c4) = sk_c8
| inverse(sk_c4) = sk_c8
| identity = sk_c3
| inverse(sk_c8) != sk_c7 ),
inference(resolve,[status(thm)],[c_7856,c_535]) ).
cnf(c_7858,plain,
( identity = sk_c3
| inverse(sk_c4) = sk_c8
| inverse(sk_c4) = sk_c8
| inverse(sk_c4) = sk_c8
| identity = sk_c3 ),
inference(resolve,[status(thm)],[c_7857,c_800]) ).
cnf(c_7859,plain,
( identity = sk_c3
| inverse(sk_c4) = sk_c8
| inverse(sk_c4) = sk_c8
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7858]) ).
cnf(c_7860,plain,
( identity = sk_c3
| inverse(sk_c4) = sk_c8
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7859]) ).
cnf(c_837,plain,
( inverse(sk_c4) = sk_c8
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7860]) ).
cnf(c_7861,plain,
( multiply(sk_c1,multiply(sk_c7,sk_c3)) = sk_c7
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_16,c_54]) ).
cnf(c_843,plain,
( multiply(sk_c1,multiply(sk_c7,sk_c3)) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(copy,[status(thm)],[c_7861]) ).
cnf(c_7862,plain,
( identity = sk_c3
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| multiply(sk_c4,sk_c7) != sk_c8 ),
inference(resolve,[status(thm)],[c_41,c_837]) ).
cnf(c_7863,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7 ),
inference(resolve,[status(thm)],[c_7862,c_18]) ).
cnf(c_7864,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| inverse(A) != sk_c8
| multiply(A,sk_c8) != sk_c6 ),
inference(resolve,[status(thm)],[c_7863,c_19]) ).
cnf(c_7865,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| inverse(sk_c5) != sk_c8 ),
inference(resolve,[status(thm)],[c_7864,c_20]) ).
cnf(c_7866,plain,
( identity = sk_c3
| multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7
| identity = sk_c3
| inverse(sk_c8) != sk_c7 ),
inference(resolve,[status(thm)],[c_7865,c_835]) ).
cnf(c_7867,plain,
( identity = sk_c3
| identity = sk_c3
| multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7
| identity = sk_c3 ),
inference(resolve,[status(thm)],[c_7866,c_800]) ).
cnf(c_7868,plain,
( identity = sk_c3
| identity = sk_c3
| multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7867]) ).
cnf(c_7869,plain,
( identity = sk_c3
| identity = sk_c3
| multiply(sk_c8,sk_c3) = sk_c7
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7868]) ).
cnf(c_7870,plain,
( identity = sk_c3
| multiply(sk_c8,sk_c3) = sk_c7
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7869]) ).
cnf(c_914,plain,
( multiply(sk_c8,sk_c3) = sk_c7
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7870]) ).
cnf(c_7871,plain,
( multiply(sk_c1,multiply(sk_c7,sk_c3)) = sk_c7
| inverse(sk_c4) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(paramod,[status(thm)],[c_17,c_56]) ).
cnf(c_1070,plain,
( multiply(sk_c1,multiply(sk_c7,sk_c3)) = sk_c7
| inverse(sk_c4) = sk_c8 ),
inference(copy,[status(thm)],[c_7871]) ).
cnf(c_7872,plain,
( identity = sk_c3
| inverse(sk_c8) != sk_c7
| multiply(sk_c1,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| multiply(sk_c1,sk_c7) != sk_c8 ),
inference(resolve,[status(thm)],[c_43,c_812]) ).
cnf(c_7873,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| multiply(sk_c1,sk_c8) != A
| multiply(sk_c8,A) != sk_c7 ),
inference(resolve,[status(thm)],[c_7872,c_13]) ).
cnf(c_7874,plain,
( identity = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| multiply(sk_c1,sk_c8) != sk_c3 ),
inference(resolve,[status(thm)],[c_7873,c_914]) ).
cnf(c_7875,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| identity = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7
| identity = sk_c3
| inverse(sk_c8) != sk_c7 ),
inference(resolve,[status(thm)],[c_7874,c_533]) ).
cnf(c_7876,plain,
( identity = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7
| identity = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7
| identity = sk_c3 ),
inference(resolve,[status(thm)],[c_7875,c_800]) ).
cnf(c_7877,plain,
( identity = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7876]) ).
cnf(c_7878,plain,
( identity = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7877]) ).
cnf(c_4179,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7878]) ).
cnf(c_7879,plain,
( identity = sk_c3
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| multiply(sk_c4,sk_c7) != sk_c8 ),
inference(resolve,[status(thm)],[c_41,c_837]) ).
cnf(c_7880,plain,
( multiply(sk_c1,sk_c7) = sk_c8
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7 ),
inference(resolve,[status(thm)],[c_7879,c_12]) ).
cnf(c_7881,plain,
( identity = sk_c3
| multiply(sk_c1,sk_c7) = sk_c8
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| inverse(A) != sk_c8
| multiply(A,sk_c8) != sk_c6 ),
inference(resolve,[status(thm)],[c_7880,c_4179]) ).
cnf(c_7882,plain,
( multiply(sk_c1,sk_c7) = sk_c8
| identity = sk_c3
| multiply(sk_c1,sk_c7) = sk_c8
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| inverse(sk_c5) != sk_c8 ),
inference(resolve,[status(thm)],[c_7881,c_14]) ).
cnf(c_7883,plain,
( identity = sk_c3
| multiply(sk_c1,sk_c7) = sk_c8
| identity = sk_c3
| multiply(sk_c1,sk_c7) = sk_c8
| identity = sk_c3
| inverse(sk_c8) != sk_c7 ),
inference(resolve,[status(thm)],[c_7882,c_835]) ).
cnf(c_7884,plain,
( identity = sk_c3
| identity = sk_c3
| multiply(sk_c1,sk_c7) = sk_c8
| identity = sk_c3
| multiply(sk_c1,sk_c7) = sk_c8
| identity = sk_c3 ),
inference(resolve,[status(thm)],[c_7883,c_800]) ).
cnf(c_7885,plain,
( identity = sk_c3
| identity = sk_c3
| multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7884]) ).
cnf(c_7886,plain,
( identity = sk_c3
| identity = sk_c3
| multiply(sk_c1,sk_c7) = sk_c8
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7885]) ).
cnf(c_7887,plain,
( identity = sk_c3
| multiply(sk_c1,sk_c7) = sk_c8
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7886]) ).
cnf(c_4227,plain,
( multiply(sk_c1,sk_c7) = sk_c8
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7887]) ).
cnf(c_7888,plain,
( identity = sk_c3
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| multiply(sk_c1,sk_c7) != sk_c8 ),
inference(resolve,[status(thm)],[c_41,c_812]) ).
cnf(c_7889,plain,
( identity = sk_c3
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7 ),
inference(resolve,[status(thm)],[c_7888,c_4227]) ).
cnf(c_7890,plain,
( identity = sk_c3
| identity = sk_c3
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| inverse(A) != sk_c8
| multiply(A,sk_c8) != sk_c6 ),
inference(resolve,[status(thm)],[c_7889,c_4179]) ).
cnf(c_7891,plain,
( multiply(sk_c1,sk_c8) = sk_c3
| identity = sk_c3
| identity = sk_c3
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| inverse(sk_c5) != sk_c8 ),
inference(resolve,[status(thm)],[c_7890,c_532]) ).
cnf(c_7892,plain,
( identity = sk_c3
| multiply(sk_c1,sk_c8) = sk_c3
| identity = sk_c3
| identity = sk_c3
| identity = sk_c3
| inverse(sk_c8) != sk_c7 ),
inference(resolve,[status(thm)],[c_7891,c_835]) ).
cnf(c_7893,plain,
( identity = sk_c3
| identity = sk_c3
| multiply(sk_c1,sk_c8) = sk_c3
| identity = sk_c3
| identity = sk_c3
| identity = sk_c3 ),
inference(resolve,[status(thm)],[c_7892,c_800]) ).
cnf(c_7894,plain,
( identity = sk_c3
| identity = sk_c3
| multiply(sk_c1,sk_c8) = sk_c3
| identity = sk_c3
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7893]) ).
cnf(c_7895,plain,
( identity = sk_c3
| identity = sk_c3
| multiply(sk_c1,sk_c8) = sk_c3
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7894]) ).
cnf(c_7896,plain,
( identity = sk_c3
| multiply(sk_c1,sk_c8) = sk_c3
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7895]) ).
cnf(c_4254,plain,
( multiply(sk_c1,sk_c8) = sk_c3
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7896]) ).
cnf(c_7897,plain,
( identity = sk_c3
| inverse(sk_c8) != sk_c7
| multiply(sk_c1,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| multiply(sk_c1,sk_c7) != sk_c8 ),
inference(resolve,[status(thm)],[c_43,c_812]) ).
cnf(c_7898,plain,
( identity = sk_c3
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| multiply(sk_c1,sk_c8) != A
| multiply(sk_c8,A) != sk_c7 ),
inference(resolve,[status(thm)],[c_7897,c_4227]) ).
cnf(c_7899,plain,
( identity = sk_c3
| identity = sk_c3
| identity = sk_c3
| inverse(sk_c8) != sk_c7
| multiply(sk_c1,sk_c8) != sk_c3 ),
inference(resolve,[status(thm)],[c_7898,c_914]) ).
cnf(c_7900,plain,
( identity = sk_c3
| identity = sk_c3
| identity = sk_c3
| identity = sk_c3
| inverse(sk_c8) != sk_c7 ),
inference(resolve,[status(thm)],[c_7899,c_4254]) ).
cnf(c_7901,plain,
( identity = sk_c3
| identity = sk_c3
| identity = sk_c3
| identity = sk_c3
| identity = sk_c3 ),
inference(resolve,[status(thm)],[c_7900,c_800]) ).
cnf(c_7902,plain,
( identity = sk_c3
| identity = sk_c3
| identity = sk_c3
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7901]) ).
cnf(c_7903,plain,
( identity = sk_c3
| identity = sk_c3
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7902]) ).
cnf(c_7904,plain,
( identity = sk_c3
| identity = sk_c3 ),
inference(copy,[status(thm)],[c_7903]) ).
cnf(c_4288,plain,
identity = sk_c3,
inference(copy,[status(thm)],[c_7904]) ).
cnf(c_5523,plain,
( inverse(sk_c8) != sk_c7
| sk_c7 != sk_c8
| sk_c3 != sk_c8 ),
inference(paramod,[status(thm)],[c_4288,c_255]) ).
cnf(c_7905,plain,
inverse(sk_c3) = identity,
inference(paramod,[status(thm)],[c_4288,c_252]) ).
cnf(c_5526,plain,
inverse(sk_c3) = sk_c3,
inference(paramod,[status(thm)],[c_4288,c_7905]) ).
cnf(c_5527,plain,
multiply(A,sk_c3) = A,
inference(paramod,[status(thm)],[c_4288,c_209]) ).
cnf(c_5641,plain,
( multiply(sk_c1,sk_c7) = sk_c7
| inverse(sk_c4) = sk_c8 ),
inference(paramod,[status(thm)],[c_5527,c_1070]) ).
cnf(c_5642,plain,
( multiply(sk_c1,sk_c7) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_5527,c_843]) ).
cnf(c_7906,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = sk_c7 ),
inference(paramod,[status(thm)],[c_5527,c_21]) ).
cnf(c_5668,plain,
( inverse(sk_c5) = sk_c8
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_7906]) ).
cnf(c_7907,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| sk_c8 = sk_c7 ),
inference(paramod,[status(thm)],[c_5527,c_20]) ).
cnf(c_5669,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_7907]) ).
cnf(c_7908,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| sk_c8 = sk_c7 ),
inference(paramod,[status(thm)],[c_5527,c_19]) ).
cnf(c_5670,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_7908]) ).
cnf(c_7909,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sk_c8 = sk_c7 ),
inference(paramod,[status(thm)],[c_5527,c_18]) ).
cnf(c_5671,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_7909]) ).
cnf(c_7910,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = sk_c7 ),
inference(paramod,[status(thm)],[c_5527,c_17]) ).
cnf(c_5672,plain,
( inverse(sk_c4) = sk_c8
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_7910]) ).
cnf(c_7911,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = sk_c7 ),
inference(paramod,[status(thm)],[c_5527,c_16]) ).
cnf(c_5673,plain,
( inverse(sk_c8) = sk_c7
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_7911]) ).
cnf(c_7912,plain,
( sk_c7 = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7
| multiply(sk_c4,sk_c7) != sk_c8 ),
inference(resolve,[status(thm)],[c_41,c_5672]) ).
cnf(c_7913,plain,
( sk_c7 = sk_c8
| sk_c7 = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c8) != A
| multiply(sk_c8,A) != sk_c7 ),
inference(resolve,[status(thm)],[c_7912,c_5671]) ).
cnf(c_7914,plain,
( sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(A) != sk_c8
| multiply(A,sk_c8) != sk_c6 ),
inference(resolve,[status(thm)],[c_7913,c_5670]) ).
cnf(c_7915,plain,
( sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8
| inverse(sk_c8) != sk_c7
| inverse(sk_c5) != sk_c8 ),
inference(resolve,[status(thm)],[c_7914,c_5669]) ).
cnf(c_7916,plain,
( sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(resolve,[status(thm)],[c_7915,c_5668]) ).
cnf(c_7917,plain,
( sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(resolve,[status(thm)],[c_7916,c_5673]) ).
cnf(c_7918,plain,
( sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_7917]) ).
cnf(c_7919,plain,
( sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_7918]) ).
cnf(c_7920,plain,
( sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_7919]) ).
cnf(c_7921,plain,
( sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_7920]) ).
cnf(c_5803,plain,
sk_c7 = sk_c8,
inference(copy,[status(thm)],[c_7921]) ).
cnf(c_7922,plain,
( multiply(sk_c1,sk_c7) = sk_c7
| inverse(sk_c8) = sk_c8 ),
inference(paramod,[status(thm)],[c_5803,c_5642]) ).
cnf(c_7923,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c8 ),
inference(paramod,[status(thm)],[c_5803,c_7922]) ).
cnf(c_5865,plain,
( multiply(sk_c1,sk_c8) = sk_c8
| inverse(sk_c8) = sk_c8 ),
inference(paramod,[status(thm)],[c_5803,c_7923]) ).
cnf(c_7924,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
inference(paramod,[status(thm)],[c_5803,c_5641]) ).
cnf(c_5866,plain,
( multiply(sk_c1,sk_c8) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(paramod,[status(thm)],[c_5803,c_7924]) ).
cnf(c_7925,plain,
( inverse(sk_c8) != sk_c7
| sk_c8 != sk_c8
| sk_c3 != sk_c8 ),
inference(paramod,[status(thm)],[c_5803,c_5523]) ).
cnf(c_7926,plain,
( inverse(sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c3 != sk_c8 ),
inference(paramod,[status(thm)],[c_5803,c_7925]) ).
cnf(c_5896,plain,
( inverse(sk_c8) != sk_c8
| sk_c3 != sk_c8 ),
inference(copy,[status(thm)],[c_7926]) ).
cnf(c_6764,plain,
( inverse(sk_c8) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c3 ),
inference(paramod,[status(thm)],[c_5803,c_536]) ).
cnf(c_7927,plain,
( inverse(sk_c8) != sk_c7
| inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8 ),
inference(paramod,[status(thm)],[c_5803,c_211]) ).
cnf(c_7928,plain,
( inverse(sk_c8) != sk_c7
| inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8 ),
inference(paramod,[status(thm)],[c_5803,c_7927]) ).
cnf(c_7929,plain,
( inverse(sk_c8) != sk_c8
| inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8 ),
inference(paramod,[status(thm)],[c_5803,c_7928]) ).
cnf(c_6807,plain,
( inverse(sk_c8) != sk_c8
| inverse(inverse(sk_c8)) != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8 ),
inference(copy,[status(thm)],[c_7929]) ).
cnf(c_7930,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c8 ),
inference(paramod,[status(thm)],[c_5803,c_12]) ).
cnf(c_6861,plain,
( multiply(sk_c4,sk_c8) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c8 ),
inference(paramod,[status(thm)],[c_5803,c_7930]) ).
cnf(c_6863,plain,
( multiply(sk_c4,sk_c8) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(paramod,[status(thm)],[c_5803,c_6]) ).
cnf(c_7931,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = sk_c3
| inverse(sk_c4) = sk_c8 ),
inference(paramod,[status(thm)],[c_5866,c_535]) ).
cnf(c_7932,plain,
( inverse(sk_c4) = sk_c8
| sk_c3 = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(copy,[status(thm)],[c_7931]) ).
cnf(c_7323,plain,
( sk_c3 = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(copy,[status(thm)],[c_7932]) ).
cnf(c_7933,plain,
( sk_c3 = sk_c8
| inverse(sk_c8) = sk_c8
| inverse(sk_c8) = sk_c8 ),
inference(paramod,[status(thm)],[c_6764,c_5865]) ).
cnf(c_7363,plain,
( sk_c3 = sk_c8
| inverse(sk_c8) = sk_c8 ),
inference(copy,[status(thm)],[c_7933]) ).
cnf(c_7934,plain,
multiply(A,sk_c3) = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_208,c_5527]) ).
cnf(c_7935,plain,
A = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_5527,c_7934]) ).
cnf(c_7410,plain,
inverse(inverse(A)) = A,
inference(copy,[status(thm)],[c_7935]) ).
cnf(c_7936,plain,
( inverse(sk_c8) != sk_c8
| inverse(inverse(sk_c8)) != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(inverse(inverse(A))) != sk_c8 ),
inference(paramod,[status(thm)],[c_208,c_6807]) ).
cnf(c_7937,plain,
( inverse(sk_c8) != sk_c8
| inverse(inverse(sk_c8)) != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8 ),
inference(paramod,[status(thm)],[c_7410,c_7936]) ).
cnf(c_7938,plain,
( inverse(sk_c8) != sk_c8
| sk_c8 != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8 ),
inference(paramod,[status(thm)],[c_7410,c_7937]) ).
cnf(c_7414,plain,
( inverse(sk_c8) != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8 ),
inference(copy,[status(thm)],[c_7938]) ).
cnf(c_7939,plain,
( sk_c3 = sk_c8
| inverse(sk_c8) != sk_c8
| multiply(sk_c4,sk_c8) != sk_c8 ),
inference(resolve,[status(thm)],[c_7414,c_7323]) ).
cnf(c_7940,plain,
( inverse(sk_c1) = sk_c8
| sk_c3 = sk_c8
| inverse(sk_c8) != sk_c8 ),
inference(resolve,[status(thm)],[c_7939,c_6863]) ).
cnf(c_7941,plain,
( sk_c3 = sk_c8
| inverse(sk_c1) = sk_c8
| sk_c3 = sk_c8 ),
inference(resolve,[status(thm)],[c_7940,c_7363]) ).
cnf(c_7466,plain,
( inverse(sk_c1) = sk_c8
| sk_c3 = sk_c8 ),
inference(copy,[status(thm)],[c_7941]) ).
cnf(c_7942,plain,
( sk_c3 = sk_c8
| inverse(sk_c8) != sk_c8
| multiply(sk_c4,sk_c8) != sk_c8 ),
inference(resolve,[status(thm)],[c_7414,c_7323]) ).
cnf(c_7943,plain,
( multiply(sk_c1,sk_c8) = sk_c8
| sk_c3 = sk_c8
| inverse(sk_c8) != sk_c8 ),
inference(resolve,[status(thm)],[c_7942,c_6861]) ).
cnf(c_7944,plain,
( sk_c3 = sk_c8
| multiply(sk_c1,sk_c8) = sk_c8
| sk_c3 = sk_c8 ),
inference(resolve,[status(thm)],[c_7943,c_7363]) ).
cnf(c_7721,plain,
( multiply(sk_c1,sk_c8) = sk_c8
| sk_c3 = sk_c8 ),
inference(copy,[status(thm)],[c_7944]) ).
cnf(c_7945,plain,
( sk_c3 = sk_c8
| inverse(sk_c8) != sk_c8
| multiply(sk_c1,sk_c8) != sk_c8 ),
inference(resolve,[status(thm)],[c_7414,c_7466]) ).
cnf(c_7946,plain,
( sk_c3 = sk_c8
| sk_c3 = sk_c8
| inverse(sk_c8) != sk_c8 ),
inference(resolve,[status(thm)],[c_7945,c_7721]) ).
cnf(c_7947,plain,
( sk_c3 = sk_c8
| sk_c3 = sk_c8
| sk_c3 = sk_c8 ),
inference(resolve,[status(thm)],[c_7946,c_7363]) ).
cnf(c_7948,plain,
( sk_c3 = sk_c8
| sk_c3 = sk_c8 ),
inference(copy,[status(thm)],[c_7947]) ).
cnf(c_7735,plain,
sk_c3 = sk_c8,
inference(copy,[status(thm)],[c_7948]) ).
cnf(c_7949,plain,
( inverse(sk_c8) != sk_c8
| sk_c8 != sk_c8 ),
inference(paramod,[status(thm)],[c_7735,c_5896]) ).
cnf(c_7786,plain,
inverse(sk_c8) != sk_c8,
inference(copy,[status(thm)],[c_7949]) ).
cnf(c_7950,plain,
inverse(sk_c8) = sk_c3,
inference(paramod,[status(thm)],[c_7735,c_5526]) ).
cnf(c_7951,plain,
inverse(sk_c8) = sk_c8,
inference(paramod,[status(thm)],[c_7735,c_7950]) ).
cnf(c_7792,plain,
$false,
inference(resolve,[status(thm)],[c_7786,c_7951]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP229-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.43 % Computer : n026.cluster.edu
% 0.20/0.43 % Model : x86_64 x86_64
% 0.20/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.43 % Memory : 8046.5625MB
% 0.20/0.43 % OS : Linux 6.8.0-71-generic
% 0.20/0.43 % CPULimit : 300
% 0.20/0.43 % WCLimit : 300
% 0.20/0.43 % DateTime : Fri Sep 25 14:42:25 UTC 2026
% 0.20/0.44 % CPUTime :
% 0.20/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.20/0.44 % Process 2765527 was started by sandbox2 on n026,
% 0.20/0.44 % Fri Sep 25 14:42:25 2026
% 0.20/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.20/0.45
% 0.20/0.45 % From the command line: assign(max_seconds, 300).
% 31.43/4.56
% 31.43/4.56 % Assigning unary symbol inverse kb_weight 0 and highest precedence (12).
% 31.43/4.56
% 31.43/4.56 % SZS status Unsatisfiable for theBenchmark
% 31.43/4.56
% 31.43/4.56 % Proof 1 at 3.38 (+ 0.67) seconds.
% 31.43/4.56 % Length of proof is 107.
% 31.43/4.56 % Level of proof is 27.
% 31.43/4.56 % Maximum clause weight is 60.000.
% 31.43/4.56 % Given clauses 349.
% 31.43/4.56
% 31.43/4.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------