%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP215-1 : 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 : n012.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 07:28:23 AM UTC 2026
% Result : Unsatisfiable 25.64s 11.32s
% Output : CNFRefutation 25.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 22
% Syntax : Number of formulae : 226 ( 33 unt; 0 def)
% Number of atoms : 572 ( 571 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 558 ( 212 ~; 346 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(left_identity,axiom,
! [VAR_0] : multiply(identity,VAR_0) = VAR_0,
file('theBenchmark.p',left_identity) ).
cnf(c_1,plain,
multiply(identity,A) = A,
inference(clausify,[status(thm)],[left_identity]) ).
fof(left_inverse,axiom,
! [VAR_0] : multiply(inverse(VAR_0),VAR_0) = identity,
file('theBenchmark.p',left_inverse) ).
cnf(c_2,plain,
multiply(inverse(A),A) = identity,
inference(clausify,[status(thm)],[left_inverse]) ).
fof(associativity,axiom,
! [VAR_0,VAR_1,VAR_2] : multiply(multiply(VAR_0,VAR_1),VAR_2) = multiply(VAR_0,multiply(VAR_1,VAR_2)),
file('theBenchmark.p',associativity) ).
cnf(c_3,plain,
multiply(multiply(A,B),C) = multiply(A,multiply(B,C)),
inference(clausify,[status(thm)],[associativity]) ).
fof(prove_this_1,axiom,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('theBenchmark.p',prove_this_1) ).
cnf(c_4,plain,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_1]) ).
fof(prove_this_2,axiom,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('theBenchmark.p',prove_this_2) ).
cnf(c_5,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_2]) ).
fof(prove_this_3,axiom,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('theBenchmark.p',prove_this_3) ).
cnf(c_6,plain,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_3]) ).
fof(prove_this_4,axiom,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('theBenchmark.p',prove_this_4) ).
cnf(c_7,plain,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_4]) ).
fof(prove_this_5,axiom,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('theBenchmark.p',prove_this_5) ).
cnf(c_8,plain,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_5]) ).
fof(prove_this_6,axiom,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('theBenchmark.p',prove_this_6) ).
cnf(c_9,plain,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_6]) ).
fof(prove_this_7,axiom,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('theBenchmark.p',prove_this_7) ).
cnf(c_10,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_7]) ).
fof(prove_this_8,axiom,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('theBenchmark.p',prove_this_8) ).
cnf(c_11,plain,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_8]) ).
fof(prove_this_9,axiom,
( multiply(sk_c4,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('theBenchmark.p',prove_this_9) ).
cnf(c_12,plain,
( multiply(sk_c4,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_9]) ).
fof(prove_this_10,axiom,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('theBenchmark.p',prove_this_10) ).
cnf(c_13,plain,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_10]) ).
fof(prove_this_11,axiom,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('theBenchmark.p',prove_this_11) ).
cnf(c_14,plain,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_11]) ).
fof(prove_this_13,axiom,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('theBenchmark.p',prove_this_13) ).
cnf(c_16,plain,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_13]) ).
fof(prove_this_14,axiom,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('theBenchmark.p',prove_this_14) ).
cnf(c_17,plain,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_14]) ).
fof(prove_this_15,axiom,
( inverse(sk_c4) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('theBenchmark.p',prove_this_15) ).
cnf(c_18,plain,
( inverse(sk_c4) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_15]) ).
fof(prove_this_16,axiom,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('theBenchmark.p',prove_this_16) ).
cnf(c_19,plain,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_16]) ).
fof(prove_this_18,axiom,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('theBenchmark.p',prove_this_18) ).
cnf(c_21,plain,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_18]) ).
fof(prove_this_19,axiom,
( multiply(sk_c4,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('theBenchmark.p',prove_this_19) ).
cnf(c_22,plain,
( multiply(sk_c4,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_19]) ).
fof(prove_this_20,axiom,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('theBenchmark.p',prove_this_20) ).
cnf(c_23,plain,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_20]) ).
fof(prove_this_21,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( inverse(VAR_4) != sk_c7
| multiply(VAR_4,sk_c7) != VAR_3
| multiply(sk_c7,VAR_3) != sk_c6
| multiply(VAR_2,sk_c6) != sk_c7
| inverse(VAR_2) != sk_c7
| inverse(VAR_1) != sk_c6
| multiply(VAR_1,sk_c6) != sk_c7
| inverse(VAR_0) != sk_c7
| multiply(VAR_0,sk_c7) != sk_c6 ),
file('theBenchmark.p',prove_this_21) ).
cnf(c_24,plain,
( inverse(E) != sk_c7
| multiply(E,sk_c7) != D
| multiply(sk_c7,D) != sk_c6
| multiply(C,sk_c6) != sk_c7
| inverse(C) != sk_c7
| inverse(B) != sk_c6
| multiply(B,sk_c6) != sk_c7
| inverse(A) != sk_c7
| multiply(A,sk_c7) != sk_c6 ),
inference(clausify,[status(thm)],[prove_this_21]) ).
cnf(c_27,plain,
( inverse(D) != sk_c7
| multiply(D,sk_c7) != C
| multiply(sk_c7,C) != sk_c6
| multiply(A,sk_c6) != sk_c7
| inverse(B) != sk_c6
| multiply(B,sk_c6) != sk_c7
| inverse(A) != sk_c7
| multiply(A,sk_c7) != sk_c6 ),
inference(factor,[status(thm)],[c_24]) ).
cnf(c_37,plain,
( multiply(A,sk_c7) != C
| multiply(sk_c7,C) != sk_c6
| multiply(A,sk_c6) != sk_c7
| inverse(B) != sk_c6
| multiply(B,sk_c6) != sk_c7
| inverse(A) != sk_c7
| multiply(A,sk_c7) != sk_c6 ),
inference(factor,[status(thm)],[c_27]) ).
cnf(c_38,plain,
( inverse(C) != sk_c7
| multiply(C,sk_c7) != B
| multiply(sk_c7,B) != sk_c6
| inverse(A) != sk_c6
| multiply(A,sk_c6) != sk_c7
| inverse(A) != sk_c7
| multiply(A,sk_c7) != sk_c6 ),
inference(factor,[status(thm)],[c_27]) ).
cnf(c_9605,plain,
multiply(identity,A) = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_2,c_3]) ).
cnf(c_9606,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_1,c_9605]) ).
cnf(c_48,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(copy,[status(thm)],[c_9606]) ).
cnf(c_9607,plain,
( multiply(multiply(A,sk_c7),sk_c5) = multiply(A,sk_c6)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_6,c_3]) ).
cnf(c_59,plain,
( multiply(A,multiply(sk_c7,sk_c5)) = multiply(A,sk_c6)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_3,c_9607]) ).
cnf(c_9608,plain,
( multiply(multiply(A,sk_c4),sk_c7) = multiply(A,sk_c5)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_7,c_3]) ).
cnf(c_63,plain,
( multiply(A,multiply(sk_c4,sk_c7)) = multiply(A,sk_c5)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_3,c_9608]) ).
cnf(c_67,plain,
( multiply(sk_c7,sk_c1) = identity
| inverse(sk_c3) = sk_c7 ),
inference(paramod,[status(thm)],[c_9,c_2]) ).
cnf(c_9609,plain,
( multiply(multiply(A,sk_c4),sk_c7) = multiply(A,sk_c5)
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_12,c_3]) ).
cnf(c_77,plain,
( multiply(A,multiply(sk_c4,sk_c7)) = multiply(A,sk_c5)
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_3,c_9609]) ).
cnf(c_78,plain,
( multiply(sk_c7,sk_c1) = identity
| inverse(sk_c4) = sk_c7 ),
inference(paramod,[status(thm)],[c_13,c_2]) ).
cnf(c_79,plain,
( multiply(sk_c7,sk_c4) = identity
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_13,c_2]) ).
cnf(c_9610,plain,
( multiply(multiply(A,sk_c4),sk_c7) = multiply(A,sk_c5)
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_17,c_3]) ).
cnf(c_94,plain,
( multiply(A,multiply(sk_c4,sk_c7)) = multiply(A,sk_c5)
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_3,c_9610]) ).
cnf(c_98,plain,
( multiply(sk_c6,sk_c2) = identity
| inverse(sk_c3) = sk_c7 ),
inference(paramod,[status(thm)],[c_19,c_2]) ).
cnf(c_9611,plain,
( multiply(multiply(A,sk_c4),sk_c7) = multiply(A,sk_c5)
| inverse(sk_c2) = sk_c6 ),
inference(paramod,[status(thm)],[c_22,c_3]) ).
cnf(c_108,plain,
( multiply(A,multiply(sk_c4,sk_c7)) = multiply(A,sk_c5)
| inverse(sk_c2) = sk_c6 ),
inference(paramod,[status(thm)],[c_3,c_9611]) ).
cnf(c_109,plain,
( multiply(sk_c6,sk_c2) = identity
| inverse(sk_c4) = sk_c7 ),
inference(paramod,[status(thm)],[c_23,c_2]) ).
cnf(c_9612,plain,
( multiply(identity,sk_c7) != B
| multiply(sk_c7,B) != sk_c6
| multiply(identity,sk_c6) != sk_c7
| inverse(A) != sk_c6
| multiply(A,sk_c6) != sk_c7
| inverse(identity) != sk_c7
| sk_c7 != sk_c6 ),
inference(paramod,[status(thm)],[c_1,c_37]) ).
cnf(c_9613,plain,
( multiply(identity,sk_c7) != B
| multiply(sk_c7,B) != sk_c6
| sk_c6 != sk_c7
| inverse(A) != sk_c6
| multiply(A,sk_c6) != sk_c7
| inverse(identity) != sk_c7
| sk_c7 != sk_c6 ),
inference(paramod,[status(thm)],[c_1,c_9612]) ).
cnf(c_9614,plain,
( sk_c7 != B
| multiply(sk_c7,B) != sk_c6
| sk_c6 != sk_c7
| inverse(A) != sk_c6
| multiply(A,sk_c6) != sk_c7
| inverse(identity) != sk_c7
| sk_c7 != sk_c6 ),
inference(paramod,[status(thm)],[c_1,c_9613]) ).
cnf(c_9615,plain,
( sk_c7 != B
| multiply(sk_c7,B) != sk_c6
| sk_c6 != sk_c7
| inverse(A) != sk_c6
| multiply(A,sk_c6) != sk_c7
| inverse(identity) != sk_c7
| sk_c6 != sk_c7 ),
inference(copy,[status(thm)],[c_9614]) ).
cnf(c_132,plain,
( sk_c7 != B
| multiply(sk_c7,B) != sk_c6
| inverse(A) != sk_c6
| multiply(A,sk_c6) != sk_c7
| inverse(identity) != sk_c7
| sk_c6 != sk_c7 ),
inference(copy,[status(thm)],[c_9615]) ).
cnf(c_9616,plain,
( inverse(B) != sk_c7
| multiply(B,sk_c7) != A
| multiply(sk_c7,A) != sk_c6
| inverse(identity) != sk_c6
| multiply(identity,sk_c6) != sk_c7
| inverse(identity) != sk_c7
| sk_c7 != sk_c6 ),
inference(paramod,[status(thm)],[c_1,c_38]) ).
cnf(c_9617,plain,
( inverse(B) != sk_c7
| multiply(B,sk_c7) != A
| multiply(sk_c7,A) != sk_c6
| inverse(identity) != sk_c6
| sk_c6 != sk_c7
| inverse(identity) != sk_c7
| sk_c7 != sk_c6 ),
inference(paramod,[status(thm)],[c_1,c_9616]) ).
cnf(c_9618,plain,
( inverse(B) != sk_c7
| multiply(B,sk_c7) != A
| multiply(sk_c7,A) != sk_c6
| inverse(identity) != sk_c6
| sk_c6 != sk_c7
| inverse(identity) != sk_c7
| sk_c6 != sk_c7 ),
inference(copy,[status(thm)],[c_9617]) ).
cnf(c_133,plain,
( inverse(B) != sk_c7
| multiply(B,sk_c7) != A
| multiply(sk_c7,A) != sk_c6
| inverse(identity) != sk_c6
| inverse(identity) != sk_c7
| sk_c6 != sk_c7 ),
inference(copy,[status(thm)],[c_9618]) ).
cnf(c_9619,plain,
( multiply(identity,sk_c7) != A
| multiply(sk_c7,A) != sk_c6
| inverse(identity) != sk_c6
| inverse(identity) != sk_c7
| sk_c6 != sk_c7 ),
inference(factor,[status(thm)],[c_133]) ).
cnf(c_134,plain,
( sk_c7 != A
| multiply(sk_c7,A) != sk_c6
| inverse(identity) != sk_c6
| inverse(identity) != sk_c7
| sk_c6 != sk_c7 ),
inference(paramod,[status(thm)],[c_1,c_9619]) ).
cnf(c_185,plain,
multiply(inverse(inverse(A)),identity) = A,
inference(paramod,[status(thm)],[c_2,c_48]) ).
cnf(c_186,plain,
multiply(inverse(multiply(A,B)),multiply(A,multiply(B,C))) = C,
inference(paramod,[status(thm)],[c_3,c_48]) ).
cnf(c_227,plain,
multiply(inverse(inverse(A)),B) = multiply(A,B),
inference(paramod,[status(thm)],[c_48,c_48]) ).
cnf(c_228,plain,
multiply(A,identity) = A,
inference(paramod,[status(thm)],[c_227,c_185]) ).
cnf(c_285,plain,
inverse(identity) = identity,
inference(paramod,[status(thm)],[c_228,c_2]) ).
cnf(c_9620,plain,
( sk_c7 != identity
| sk_c7 != sk_c6
| inverse(identity) != sk_c6
| inverse(identity) != sk_c7
| sk_c6 != sk_c7 ),
inference(paramod,[status(thm)],[c_228,c_134]) ).
cnf(c_9621,plain,
( sk_c7 != identity
| sk_c7 != sk_c6
| inverse(identity) != sk_c6
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(paramod,[status(thm)],[c_285,c_9620]) ).
cnf(c_9622,plain,
( sk_c7 != identity
| sk_c7 != sk_c6
| identity != sk_c6
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(paramod,[status(thm)],[c_285,c_9621]) ).
cnf(c_9623,plain,
( sk_c7 != identity
| sk_c6 != sk_c7
| identity != sk_c6
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(copy,[status(thm)],[c_9622]) ).
cnf(c_9624,plain,
( identity != sk_c7
| sk_c6 != sk_c7
| identity != sk_c6
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(copy,[status(thm)],[c_9623]) ).
cnf(c_9625,plain,
( identity != sk_c7
| identity != sk_c6
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(copy,[status(thm)],[c_9624]) ).
cnf(c_287,plain,
( identity != sk_c6
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(copy,[status(thm)],[c_9625]) ).
cnf(c_317,plain,
( sk_c7 != B
| multiply(sk_c7,B) != sk_c6
| inverse(A) != sk_c6
| multiply(A,sk_c6) != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(paramod,[status(thm)],[c_285,c_132]) ).
cnf(c_9626,plain,
( multiply(inverse(sk_c7),identity) = sk_c1
| inverse(sk_c3) = sk_c7 ),
inference(paramod,[status(thm)],[c_67,c_48]) ).
cnf(c_328,plain,
( inverse(sk_c7) = sk_c1
| inverse(sk_c3) = sk_c7 ),
inference(paramod,[status(thm)],[c_228,c_9626]) ).
cnf(c_331,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c3) = sk_c7 ),
inference(paramod,[status(thm)],[c_328,c_2]) ).
cnf(c_9627,plain,
( multiply(inverse(sk_c7),identity) = sk_c1
| inverse(sk_c4) = sk_c7 ),
inference(paramod,[status(thm)],[c_78,c_48]) ).
cnf(c_406,plain,
( inverse(sk_c7) = sk_c1
| inverse(sk_c4) = sk_c7 ),
inference(paramod,[status(thm)],[c_228,c_9627]) ).
cnf(c_411,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c4) = sk_c7 ),
inference(paramod,[status(thm)],[c_406,c_2]) ).
cnf(c_9628,plain,
( multiply(inverse(sk_c7),identity) = sk_c4
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_79,c_48]) ).
cnf(c_426,plain,
( inverse(sk_c7) = sk_c4
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_228,c_9628]) ).
cnf(c_9629,plain,
( sk_c7 != identity
| sk_c7 != sk_c6
| inverse(A) != sk_c6
| multiply(A,sk_c6) != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(paramod,[status(thm)],[c_228,c_317]) ).
cnf(c_9630,plain,
( sk_c7 != identity
| sk_c6 != sk_c7
| inverse(A) != sk_c6
| multiply(A,sk_c6) != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(copy,[status(thm)],[c_9629]) ).
cnf(c_9631,plain,
( identity != sk_c7
| sk_c6 != sk_c7
| inverse(A) != sk_c6
| multiply(A,sk_c6) != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(copy,[status(thm)],[c_9630]) ).
cnf(c_9632,plain,
( identity != sk_c7
| inverse(A) != sk_c6
| multiply(A,sk_c6) != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(copy,[status(thm)],[c_9631]) ).
cnf(c_480,plain,
( inverse(A) != sk_c6
| multiply(A,sk_c6) != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(copy,[status(thm)],[c_9632]) ).
cnf(c_508,plain,
( inverse(multiply(A,B)) != sk_c6
| multiply(A,multiply(B,sk_c6)) != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(paramod,[status(thm)],[c_3,c_480]) ).
cnf(c_536,plain,
( multiply(sk_c4,sk_c7) = identity
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_426,c_2]) ).
cnf(c_9633,plain,
( inverse(multiply(inverse(multiply(A,sk_c6)),A)) != sk_c6
| identity != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(paramod,[status(thm)],[c_2,c_508]) ).
cnf(c_609,plain,
( inverse(multiply(inverse(multiply(A,sk_c6)),A)) != sk_c6
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(copy,[status(thm)],[c_9633]) ).
cnf(c_9634,plain,
( multiply(inverse(sk_c6),identity) = sk_c2
| inverse(sk_c3) = sk_c7 ),
inference(paramod,[status(thm)],[c_98,c_48]) ).
cnf(c_682,plain,
( inverse(sk_c6) = sk_c2
| inverse(sk_c3) = sk_c7 ),
inference(paramod,[status(thm)],[c_228,c_9634]) ).
cnf(c_688,plain,
( multiply(sk_c2,sk_c6) = identity
| inverse(sk_c3) = sk_c7 ),
inference(paramod,[status(thm)],[c_682,c_2]) ).
cnf(c_9635,plain,
( multiply(inverse(sk_c6),identity) = sk_c2
| inverse(sk_c4) = sk_c7 ),
inference(paramod,[status(thm)],[c_109,c_48]) ).
cnf(c_723,plain,
( inverse(sk_c6) = sk_c2
| inverse(sk_c4) = sk_c7 ),
inference(paramod,[status(thm)],[c_228,c_9635]) ).
cnf(c_884,plain,
( multiply(sk_c2,sk_c6) = identity
| inverse(sk_c4) = sk_c7 ),
inference(paramod,[status(thm)],[c_723,c_2]) ).
cnf(c_9636,plain,
( multiply(sk_c3,multiply(sk_c7,sk_c5)) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_5,c_59]) ).
cnf(c_955,plain,
( multiply(sk_c3,multiply(sk_c7,sk_c5)) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(copy,[status(thm)],[c_9636]) ).
cnf(c_9637,plain,
( inverse(sk_c3) = sk_c7
| identity = sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(paramod,[status(thm)],[c_331,c_4]) ).
cnf(c_1083,plain,
( identity = sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(copy,[status(thm)],[c_9637]) ).
cnf(c_1100,plain,
( multiply(sk_c7,sk_c3) = identity
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_1083,c_2]) ).
cnf(c_9638,plain,
( multiply(inverse(sk_c7),identity) = sk_c3
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_1100,c_48]) ).
cnf(c_1120,plain,
( inverse(sk_c7) = sk_c3
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_228,c_9638]) ).
cnf(c_9639,plain,
( multiply(sk_c7,multiply(sk_c4,sk_c7)) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_6,c_63]) ).
cnf(c_1220,plain,
( multiply(sk_c7,multiply(sk_c4,sk_c7)) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(copy,[status(thm)],[c_9639]) ).
cnf(c_9640,plain,
( inverse(sk_c4) = sk_c7
| identity = sk_c6
| inverse(sk_c4) = sk_c7 ),
inference(paramod,[status(thm)],[c_411,c_8]) ).
cnf(c_1714,plain,
( identity = sk_c6
| inverse(sk_c4) = sk_c7 ),
inference(copy,[status(thm)],[c_9640]) ).
cnf(c_1759,plain,
( multiply(sk_c7,sk_c4) = identity
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_1714,c_2]) ).
cnf(c_9641,plain,
( multiply(inverse(sk_c7),identity) = sk_c4
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_1759,c_48]) ).
cnf(c_1783,plain,
( inverse(sk_c7) = sk_c4
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_228,c_9641]) ).
cnf(c_9642,plain,
( sk_c4 = sk_c3
| identity = sk_c6
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_1783,c_1120]) ).
cnf(c_1835,plain,
( sk_c4 = sk_c3
| identity = sk_c6 ),
inference(copy,[status(thm)],[c_9642]) ).
cnf(c_1846,plain,
( identity != sk_c7
| sk_c6 != sk_c7
| sk_c4 = sk_c3 ),
inference(resolve,[status(thm)],[c_1835,c_287]) ).
cnf(c_9643,plain,
( sk_c6 != sk_c7
| sk_c6 != sk_c7
| sk_c4 = sk_c3
| sk_c4 = sk_c3 ),
inference(paramod,[status(thm)],[c_1835,c_1846]) ).
cnf(c_9644,plain,
( sk_c6 != sk_c7
| sk_c6 != sk_c7
| sk_c4 = sk_c3 ),
inference(copy,[status(thm)],[c_9643]) ).
cnf(c_1881,plain,
( sk_c6 != sk_c7
| sk_c4 = sk_c3 ),
inference(copy,[status(thm)],[c_9644]) ).
cnf(c_9645,plain,
( multiply(sk_c7,multiply(sk_c4,sk_c7)) = sk_c6
| inverse(sk_c1) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_11,c_77]) ).
cnf(c_1897,plain,
( multiply(sk_c7,multiply(sk_c4,sk_c7)) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(copy,[status(thm)],[c_9645]) ).
cnf(c_9646,plain,
( identity = sk_c5
| inverse(sk_c1) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_536,c_12]) ).
cnf(c_2985,plain,
( identity = sk_c5
| inverse(sk_c1) = sk_c7 ),
inference(copy,[status(thm)],[c_9646]) ).
cnf(c_3004,plain,
( multiply(sk_c7,sk_c1) = identity
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_2985,c_2]) ).
cnf(c_9647,plain,
( multiply(sk_c7,multiply(sk_c4,sk_c7)) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_16,c_94]) ).
cnf(c_3024,plain,
( multiply(sk_c7,multiply(sk_c4,sk_c7)) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(copy,[status(thm)],[c_9647]) ).
cnf(c_9648,plain,
( multiply(inverse(sk_c7),identity) = sk_c1
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_3004,c_48]) ).
cnf(c_3100,plain,
( inverse(sk_c7) = sk_c1
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_228,c_9648]) ).
cnf(c_3138,plain,
( multiply(sk_c1,sk_c7) = identity
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_3100,c_2]) ).
cnf(c_3449,plain,
( multiply(sk_c4,sk_c7) = sk_c5
| identity = sk_c6
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_3138,c_7]) ).
cnf(c_9649,plain,
( inverse(sk_c3) = sk_c7
| identity = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(paramod,[status(thm)],[c_688,c_14]) ).
cnf(c_3683,plain,
( identity = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(copy,[status(thm)],[c_9649]) ).
cnf(c_3699,plain,
( multiply(sk_c7,sk_c3) = identity
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_3683,c_2]) ).
cnf(c_9650,plain,
( multiply(inverse(sk_c7),identity) = sk_c3
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_3699,c_48]) ).
cnf(c_3793,plain,
( inverse(sk_c7) = sk_c3
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_228,c_9650]) ).
cnf(c_9651,plain,
( inverse(sk_c7) = sk_c3
| sk_c7 = sk_c6
| inverse(sk_c7) = sk_c3 ),
inference(paramod,[status(thm)],[c_3793,c_1120]) ).
cnf(c_9652,plain,
( inverse(sk_c7) = sk_c3
| sk_c6 = sk_c7
| inverse(sk_c7) = sk_c3 ),
inference(copy,[status(thm)],[c_9651]) ).
cnf(c_3859,plain,
( sk_c6 = sk_c7
| inverse(sk_c7) = sk_c3 ),
inference(copy,[status(thm)],[c_9652]) ).
cnf(c_3910,plain,
( inverse(multiply(inverse(multiply(A,sk_c6)),A)) != sk_c6
| identity != sk_c7
| inverse(sk_c7) = sk_c3 ),
inference(resolve,[status(thm)],[c_3859,c_609]) ).
cnf(c_9653,plain,
( multiply(sk_c7,multiply(sk_c4,sk_c7)) = sk_c6
| inverse(sk_c2) = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(paramod,[status(thm)],[c_21,c_108]) ).
cnf(c_4241,plain,
( multiply(sk_c7,multiply(sk_c4,sk_c7)) = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(copy,[status(thm)],[c_9653]) ).
cnf(c_9654,plain,
( inverse(sk_c4) = sk_c7
| identity = sk_c7
| inverse(sk_c4) = sk_c7 ),
inference(paramod,[status(thm)],[c_884,c_18]) ).
cnf(c_6416,plain,
( identity = sk_c7
| inverse(sk_c4) = sk_c7 ),
inference(copy,[status(thm)],[c_9654]) ).
cnf(c_6469,plain,
( multiply(sk_c7,sk_c4) = identity
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_6416,c_2]) ).
cnf(c_9655,plain,
( multiply(inverse(sk_c7),identity) = sk_c4
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_6469,c_48]) ).
cnf(c_6578,plain,
( inverse(sk_c7) = sk_c4
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_228,c_9655]) ).
cnf(c_9656,plain,
( sk_c4 = sk_c3
| identity = sk_c7
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_6578,c_3793]) ).
cnf(c_6686,plain,
( sk_c4 = sk_c3
| identity = sk_c7 ),
inference(copy,[status(thm)],[c_9656]) ).
cnf(c_9657,plain,
( sk_c4 = sk_c3
| sk_c7 = sk_c6
| sk_c4 = sk_c3 ),
inference(paramod,[status(thm)],[c_6686,c_1835]) ).
cnf(c_9658,plain,
( sk_c4 = sk_c3
| sk_c6 = sk_c7
| sk_c4 = sk_c3 ),
inference(copy,[status(thm)],[c_9657]) ).
cnf(c_6712,plain,
( sk_c6 = sk_c7
| sk_c4 = sk_c3 ),
inference(copy,[status(thm)],[c_9658]) ).
cnf(c_9659,plain,
( sk_c4 = sk_c3
| sk_c4 = sk_c3 ),
inference(resolve,[status(thm)],[c_6712,c_1881]) ).
cnf(c_6724,plain,
sk_c4 = sk_c3,
inference(copy,[status(thm)],[c_9659]) ).
cnf(c_6861,plain,
( multiply(sk_c7,multiply(sk_c3,sk_c7)) = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(paramod,[status(thm)],[c_6724,c_4241]) ).
cnf(c_6904,plain,
( multiply(sk_c3,sk_c7) = sk_c5
| identity = sk_c6
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_6724,c_3449]) ).
cnf(c_6922,plain,
( multiply(sk_c7,multiply(sk_c3,sk_c7)) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_6724,c_3024]) ).
cnf(c_6984,plain,
( multiply(sk_c7,multiply(sk_c3,sk_c7)) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_6724,c_1897]) ).
cnf(c_7015,plain,
( multiply(sk_c7,multiply(sk_c3,sk_c7)) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_6724,c_1220]) ).
cnf(c_9660,plain,
multiply(inverse(multiply(inverse(multiply(A,B)),A)),identity) = B,
inference(paramod,[status(thm)],[c_2,c_186]) ).
cnf(c_7092,plain,
inverse(multiply(inverse(multiply(A,B)),A)) = B,
inference(paramod,[status(thm)],[c_228,c_9660]) ).
cnf(c_9661,plain,
( sk_c6 != sk_c6
| identity != sk_c7
| inverse(sk_c7) = sk_c3 ),
inference(paramod,[status(thm)],[c_7092,c_3910]) ).
cnf(c_7201,plain,
( identity != sk_c7
| inverse(sk_c7) = sk_c3 ),
inference(copy,[status(thm)],[c_9661]) ).
cnf(c_9662,plain,
( sk_c6 != sk_c6
| identity != sk_c7
| sk_c6 != sk_c7 ),
inference(paramod,[status(thm)],[c_7092,c_609]) ).
cnf(c_7212,plain,
( identity != sk_c7
| sk_c6 != sk_c7 ),
inference(copy,[status(thm)],[c_9662]) ).
cnf(c_9663,plain,
( inverse(sk_c7) = sk_c3
| inverse(sk_c7) = sk_c3 ),
inference(resolve,[status(thm)],[c_7201,c_3793]) ).
cnf(c_7303,plain,
inverse(sk_c7) = sk_c3,
inference(copy,[status(thm)],[c_9663]) ).
cnf(c_7656,plain,
multiply(sk_c3,sk_c7) = identity,
inference(paramod,[status(thm)],[c_7303,c_2]) ).
cnf(c_7661,plain,
multiply(sk_c3,multiply(sk_c7,A)) = A,
inference(paramod,[status(thm)],[c_7303,c_48]) ).
cnf(c_9664,plain,
( multiply(sk_c7,identity) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_7656,c_7015]) ).
cnf(c_9665,plain,
( sk_c7 = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_228,c_9664]) ).
cnf(c_7709,plain,
( sk_c6 = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(copy,[status(thm)],[c_9665]) ).
cnf(c_9666,plain,
( multiply(sk_c7,identity) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_7656,c_6984]) ).
cnf(c_9667,plain,
( sk_c7 = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_228,c_9666]) ).
cnf(c_7718,plain,
( sk_c6 = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(copy,[status(thm)],[c_9667]) ).
cnf(c_9668,plain,
( multiply(sk_c7,identity) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_7656,c_6922]) ).
cnf(c_9669,plain,
( sk_c7 = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_228,c_9668]) ).
cnf(c_7744,plain,
( sk_c6 = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(copy,[status(thm)],[c_9669]) ).
cnf(c_9670,plain,
( identity = sk_c5
| identity = sk_c6
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_7656,c_6904]) ).
cnf(c_7751,plain,
( identity = sk_c6
| identity = sk_c5 ),
inference(copy,[status(thm)],[c_9670]) ).
cnf(c_9671,plain,
( multiply(sk_c7,identity) = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(paramod,[status(thm)],[c_7656,c_6861]) ).
cnf(c_9672,plain,
( sk_c7 = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(paramod,[status(thm)],[c_228,c_9671]) ).
cnf(c_7760,plain,
( sk_c6 = sk_c7
| inverse(sk_c2) = sk_c6 ),
inference(copy,[status(thm)],[c_9672]) ).
cnf(c_7978,plain,
( sk_c5 = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_7661,c_955]) ).
cnf(c_8033,plain,
( sk_c5 != sk_c7
| sk_c6 != sk_c7
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_7751,c_7212]) ).
cnf(c_8251,plain,
( identity != sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(resolve,[status(thm)],[c_7718,c_7212]) ).
cnf(c_9673,plain,
( multiply(sk_c3,sk_c7) = sk_c7
| inverse(sk_c1) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_7718,c_10]) ).
cnf(c_9674,plain,
( identity = sk_c7
| inverse(sk_c1) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_7656,c_9673]) ).
cnf(c_8255,plain,
( identity = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(copy,[status(thm)],[c_9674]) ).
cnf(c_8394,plain,
( multiply(sk_c6,sk_c2) = identity
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_7760,c_2]) ).
cnf(c_9675,plain,
( inverse(sk_c1) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(resolve,[status(thm)],[c_8255,c_8251]) ).
cnf(c_8654,plain,
inverse(sk_c1) = sk_c7,
inference(copy,[status(thm)],[c_9675]) ).
cnf(c_8814,plain,
multiply(sk_c7,sk_c1) = identity,
inference(paramod,[status(thm)],[c_8654,c_2]) ).
cnf(c_9676,plain,
multiply(inverse(sk_c7),identity) = sk_c1,
inference(paramod,[status(thm)],[c_8814,c_48]) ).
cnf(c_9677,plain,
multiply(sk_c3,identity) = sk_c1,
inference(paramod,[status(thm)],[c_7303,c_9676]) ).
cnf(c_8823,plain,
sk_c3 = sk_c1,
inference(paramod,[status(thm)],[c_228,c_9677]) ).
cnf(c_9057,plain,
multiply(sk_c1,sk_c7) = identity,
inference(paramod,[status(thm)],[c_8823,c_7656]) ).
cnf(c_9231,plain,
( sk_c5 = sk_c7
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_9057,c_7978]) ).
cnf(c_9240,plain,
( sk_c6 = sk_c7
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_9057,c_7709]) ).
cnf(c_9678,plain,
( sk_c6 != sk_c7
| identity = sk_c6
| identity = sk_c6 ),
inference(resolve,[status(thm)],[c_9231,c_8033]) ).
cnf(c_9296,plain,
( sk_c6 != sk_c7
| identity = sk_c6 ),
inference(copy,[status(thm)],[c_9678]) ).
cnf(c_9679,plain,
( identity = sk_c6
| identity = sk_c6 ),
inference(resolve,[status(thm)],[c_9296,c_9240]) ).
cnf(c_9349,plain,
identity = sk_c6,
inference(copy,[status(thm)],[c_9679]) ).
cnf(c_9536,plain,
( multiply(sk_c6,sk_c2) = sk_c6
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_9349,c_8394]) ).
cnf(c_9680,plain,
( sk_c6 != sk_c7
| sk_c6 != sk_c7 ),
inference(paramod,[status(thm)],[c_9349,c_7212]) ).
cnf(c_9586,plain,
sk_c6 != sk_c7,
inference(copy,[status(thm)],[c_9680]) ).
cnf(c_9598,plain,
multiply(A,sk_c6) = A,
inference(paramod,[status(thm)],[c_9349,c_228]) ).
cnf(c_9601,plain,
multiply(sk_c6,A) = A,
inference(paramod,[status(thm)],[c_9349,c_1]) ).
cnf(c_9681,plain,
( sk_c2 = sk_c6
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_9601,c_9536]) ).
cnf(c_9602,plain,
sk_c2 = sk_c6,
inference(resolve,[status(thm)],[c_9586,c_9681]) ).
cnf(c_9682,plain,
( sk_c6 = sk_c7
| multiply(sk_c6,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_9602,c_7744]) ).
cnf(c_9683,plain,
( sk_c6 = sk_c7
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_9598,c_9682]) ).
cnf(c_9684,plain,
sk_c6 = sk_c7,
inference(copy,[status(thm)],[c_9683]) ).
cnf(c_9604,plain,
$false,
inference(resolve,[status(thm)],[c_9586,c_9684]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP215-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/7.62 % Computer : n012.cluster.edu
% 0.08/7.62 % Model : x86_64 x86_64
% 0.08/7.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/7.62 % Memory : 8046.5625MB
% 0.08/7.62 % OS : Linux 6.8.0-71-generic
% 0.08/7.62 % CPULimit : 300
% 0.08/7.62 % WCLimit : 300
% 0.08/7.62 % DateTime : Fri Sep 25 14:38:30 UTC 2026
% 0.08/7.62 % CPUTime :
% 0.08/7.62 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/7.62 % Process 2323100 was started by sandbox2 on n012,
% 0.08/7.62 % Fri Sep 25 14:38:30 2026
% 0.08/7.62 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/7.62
% 0.08/7.62 % From the command line: assign(max_seconds, 300).
% 25.64/11.32
% 25.64/11.32 % SZS status Unsatisfiable for theBenchmark
% 25.64/11.32
% 25.64/11.32 % Proof 1 at 2.75 (+ 0.92) seconds.
% 25.64/11.32 % Length of proof is 124.
% 25.64/11.32 % Level of proof is 25.
% 25.64/11.32 % Maximum clause weight is 45.000.
% 25.64/11.32 % Given clauses 430.
% 25.64/11.32
% 25.64/11.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------