%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP291-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 07:28:34 AM UTC 2026
% Result : Unsatisfiable 107.06s 14.00s
% Output : CNFRefutation 107.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 79
% Number of leaves : 17
% Syntax : Number of formulae : 199 ( 26 unt; 0 def)
% Number of atoms : 649 ( 648 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 788 ( 338 ~; 450 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(left_identity,axiom,
! [VAR_0] : multiply(identity,VAR_0) = VAR_0,
file('theBenchmark.p',left_identity) ).
cnf(c_1,plain,
multiply(identity,A) = A,
inference(clausify,[status(thm)],[left_identity]) ).
fof(left_inverse,axiom,
! [VAR_0] : multiply(inverse(VAR_0),VAR_0) = identity,
file('theBenchmark.p',left_inverse) ).
cnf(c_2,plain,
multiply(inverse(A),A) = identity,
inference(clausify,[status(thm)],[left_inverse]) ).
fof(associativity,axiom,
! [VAR_0,VAR_1,VAR_2] : multiply(multiply(VAR_0,VAR_1),VAR_2) = multiply(VAR_0,multiply(VAR_1,VAR_2)),
file('theBenchmark.p',associativity) ).
cnf(c_3,plain,
multiply(multiply(A,B),C) = multiply(A,multiply(B,C)),
inference(clausify,[status(thm)],[associativity]) ).
fof(prove_this_1,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('theBenchmark.p',prove_this_1) ).
cnf(c_4,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(clausify,[status(thm)],[prove_this_1]) ).
fof(prove_this_7,axiom,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('theBenchmark.p',prove_this_7) ).
cnf(c_10,plain,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_7]) ).
fof(prove_this_8,axiom,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('theBenchmark.p',prove_this_8) ).
cnf(c_11,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_8]) ).
fof(prove_this_12,axiom,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('theBenchmark.p',prove_this_12) ).
cnf(c_15,plain,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_12]) ).
fof(prove_this_13,axiom,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('theBenchmark.p',prove_this_13) ).
cnf(c_16,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_13]) ).
fof(prove_this_16,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c7 ),
file('theBenchmark.p',prove_this_16) ).
cnf(c_19,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_16]) ).
fof(prove_this_17,axiom,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c7 ),
file('theBenchmark.p',prove_this_17) ).
cnf(c_20,plain,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_17]) ).
fof(prove_this_19,axiom,
( inverse(sk_c4) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c7 ),
file('theBenchmark.p',prove_this_19) ).
cnf(c_22,plain,
( inverse(sk_c4) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_19]) ).
fof(prove_this_20,axiom,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c7 ),
file('theBenchmark.p',prove_this_20) ).
cnf(c_23,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_20]) ).
fof(prove_this_21,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c5 ),
file('theBenchmark.p',prove_this_21) ).
cnf(c_24,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c5 ),
inference(clausify,[status(thm)],[prove_this_21]) ).
fof(prove_this_22,axiom,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c5 ),
file('theBenchmark.p',prove_this_22) ).
cnf(c_25,plain,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c5 ),
inference(clausify,[status(thm)],[prove_this_22]) ).
fof(prove_this_24,axiom,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c5 ),
file('theBenchmark.p',prove_this_24) ).
cnf(c_27,plain,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c5 ),
inference(clausify,[status(thm)],[prove_this_24]) ).
fof(prove_this_25,axiom,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c5 ),
file('theBenchmark.p',prove_this_25) ).
cnf(c_28,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c5 ),
inference(clausify,[status(thm)],[prove_this_25]) ).
fof(prove_this_26,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( multiply(VAR_3,sk_c5) != sk_c6
| inverse(VAR_3) != sk_c6
| multiply(VAR_2,sk_c6) != sk_c7
| inverse(VAR_2) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(VAR_1) != sk_c5
| multiply(VAR_1,sk_c5) != sk_c7
| inverse(VAR_0) != sk_c7
| multiply(VAR_0,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('theBenchmark.p',prove_this_26) ).
cnf(c_29,plain,
( multiply(D,sk_c5) != sk_c6
| inverse(D) != sk_c6
| multiply(C,sk_c6) != sk_c7
| inverse(C) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(B) != sk_c5
| multiply(B,sk_c5) != sk_c7
| inverse(A) != sk_c7
| multiply(A,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(clausify,[status(thm)],[prove_this_26]) ).
cnf(c_14865,plain,
multiply(identity,A) = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_2,c_3]) ).
cnf(c_14866,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_1,c_14865]) ).
cnf(c_31,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(copy,[status(thm)],[c_14866]) ).
cnf(c_42,plain,
( multiply(sk_c7,sk_c3) = identity
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_10,c_2]) ).
cnf(c_49,plain,
( multiply(sk_c7,sk_c3) = identity
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_15,c_2]) ).
cnf(c_50,plain,
( multiply(sk_c7,sk_c1) = identity
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_16,c_2]) ).
cnf(c_55,plain,
( multiply(sk_c7,sk_c3) = identity
| multiply(sk_c2,sk_c5) = sk_c7 ),
inference(paramod,[status(thm)],[c_20,c_2]) ).
cnf(c_58,plain,
( multiply(sk_c6,sk_c4) = identity
| multiply(sk_c2,sk_c5) = sk_c7 ),
inference(paramod,[status(thm)],[c_22,c_2]) ).
cnf(c_61,plain,
( multiply(sk_c5,sk_c2) = identity
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(paramod,[status(thm)],[c_24,c_2]) ).
cnf(c_62,plain,
( multiply(sk_c7,sk_c3) = identity
| inverse(sk_c2) = sk_c5 ),
inference(paramod,[status(thm)],[c_25,c_2]) ).
cnf(c_64,plain,
( multiply(sk_c6,sk_c4) = identity
| inverse(sk_c2) = sk_c5 ),
inference(paramod,[status(thm)],[c_27,c_2]) ).
cnf(c_65,plain,
( multiply(sk_c5,sk_c2) = identity
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(paramod,[status(thm)],[c_28,c_2]) ).
cnf(c_14867,plain,
( multiply(C,sk_c5) != sk_c6
| inverse(C) != sk_c6
| multiply(B,sk_c6) != sk_c7
| inverse(B) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(A) != sk_c5
| multiply(A,sk_c5) != sk_c7
| inverse(identity) != sk_c7
| sk_c7 != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(paramod,[status(thm)],[c_1,c_29]) ).
cnf(c_88,plain,
( multiply(C,sk_c5) != sk_c6
| inverse(C) != sk_c6
| multiply(B,sk_c6) != sk_c7
| inverse(B) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(A) != sk_c5
| multiply(A,sk_c5) != sk_c7
| inverse(identity) != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(copy,[status(thm)],[c_14867]) ).
cnf(c_14868,plain,
( multiply(B,sk_c5) != sk_c6
| inverse(B) != sk_c6
| multiply(identity,sk_c6) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(A) != sk_c5
| multiply(A,sk_c5) != sk_c7
| inverse(identity) != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(factor,[status(thm)],[c_88]) ).
cnf(c_14869,plain,
( multiply(B,sk_c5) != sk_c6
| inverse(B) != sk_c6
| sk_c6 != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(A) != sk_c5
| multiply(A,sk_c5) != sk_c7
| inverse(identity) != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(paramod,[status(thm)],[c_1,c_14868]) ).
cnf(c_142,plain,
( multiply(B,sk_c5) != sk_c6
| inverse(B) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(A) != sk_c5
| multiply(A,sk_c5) != sk_c7
| inverse(identity) != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(copy,[status(thm)],[c_14869]) ).
cnf(c_192,plain,
( multiply(A,sk_c5) != sk_c6
| inverse(A) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(identity) != sk_c5
| sk_c5 != sk_c7
| inverse(identity) != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(paramod,[status(thm)],[c_1,c_142]) ).
cnf(c_196,plain,
( multiply(C,sk_c5) != sk_c6
| inverse(C) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(multiply(A,B)) != sk_c5
| multiply(A,multiply(B,sk_c5)) != sk_c7
| inverse(identity) != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(paramod,[status(thm)],[c_3,c_142]) ).
cnf(c_224,plain,
( sk_c5 != sk_c6
| inverse(identity) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(identity) != sk_c5
| sk_c5 != sk_c7
| inverse(identity) != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(paramod,[status(thm)],[c_1,c_192]) ).
cnf(c_254,plain,
( multiply(sk_c7,sk_c1) = identity
| multiply(sk_c7,sk_c3) = identity ),
inference(paramod,[status(thm)],[c_49,c_2]) ).
cnf(c_279,plain,
( multiply(sk_c5,sk_c2) = identity
| multiply(sk_c7,sk_c3) = identity ),
inference(paramod,[status(thm)],[c_62,c_2]) ).
cnf(c_291,plain,
( multiply(sk_c5,sk_c2) = identity
| multiply(sk_c6,sk_c4) = identity ),
inference(paramod,[status(thm)],[c_64,c_2]) ).
cnf(c_771,plain,
multiply(inverse(inverse(A)),identity) = A,
inference(paramod,[status(thm)],[c_2,c_31]) ).
cnf(c_806,plain,
( multiply(inverse(sk_c5),identity) = sk_c2
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(paramod,[status(thm)],[c_61,c_31]) ).
cnf(c_809,plain,
( multiply(inverse(sk_c7),identity) = sk_c3
| multiply(sk_c7,sk_c1) = identity ),
inference(paramod,[status(thm)],[c_254,c_31]) ).
cnf(c_811,plain,
( multiply(inverse(sk_c5),identity) = sk_c2
| multiply(sk_c7,sk_c3) = identity ),
inference(paramod,[status(thm)],[c_279,c_31]) ).
cnf(c_812,plain,
( multiply(inverse(sk_c5),identity) = sk_c2
| multiply(sk_c6,sk_c4) = identity ),
inference(paramod,[status(thm)],[c_291,c_31]) ).
cnf(c_813,plain,
multiply(inverse(inverse(A)),B) = multiply(A,B),
inference(paramod,[status(thm)],[c_31,c_31]) ).
cnf(c_814,plain,
multiply(A,identity) = A,
inference(paramod,[status(thm)],[c_813,c_771]) ).
cnf(c_815,plain,
( inverse(sk_c5) = sk_c2
| multiply(sk_c6,sk_c4) = identity ),
inference(paramod,[status(thm)],[c_814,c_812]) ).
cnf(c_816,plain,
( inverse(sk_c5) = sk_c2
| multiply(sk_c7,sk_c3) = identity ),
inference(paramod,[status(thm)],[c_814,c_811]) ).
cnf(c_818,plain,
( inverse(sk_c7) = sk_c3
| multiply(sk_c7,sk_c1) = identity ),
inference(paramod,[status(thm)],[c_814,c_809]) ).
cnf(c_819,plain,
( inverse(sk_c5) = sk_c2
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(paramod,[status(thm)],[c_814,c_806]) ).
cnf(c_831,plain,
inverse(identity) = identity,
inference(paramod,[status(thm)],[c_814,c_2]) ).
cnf(c_14870,plain,
( sk_c5 != sk_c6
| inverse(identity) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(identity) != sk_c5
| sk_c5 != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(paramod,[status(thm)],[c_831,c_224]) ).
cnf(c_14871,plain,
( sk_c5 != sk_c6
| inverse(identity) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| identity != sk_c5
| sk_c5 != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(paramod,[status(thm)],[c_831,c_14870]) ).
cnf(c_1286,plain,
( sk_c5 != sk_c6
| identity != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| identity != sk_c5
| sk_c5 != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(paramod,[status(thm)],[c_831,c_14871]) ).
cnf(c_1314,plain,
( multiply(C,sk_c5) != sk_c6
| inverse(C) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(multiply(A,B)) != sk_c5
| multiply(A,multiply(B,sk_c5)) != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(paramod,[status(thm)],[c_831,c_196]) ).
cnf(c_1331,plain,
( multiply(sk_c2,sk_c5) = identity
| multiply(sk_c6,sk_c4) = identity ),
inference(paramod,[status(thm)],[c_815,c_2]) ).
cnf(c_1342,plain,
( multiply(sk_c2,sk_c5) = identity
| multiply(sk_c7,sk_c3) = identity ),
inference(paramod,[status(thm)],[c_816,c_2]) ).
cnf(c_1375,plain,
( multiply(sk_c2,sk_c5) = identity
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(paramod,[status(thm)],[c_819,c_2]) ).
cnf(c_14872,plain,
( multiply(sk_c6,sk_c4) = identity
| identity = sk_c7
| multiply(sk_c6,sk_c4) = identity ),
inference(paramod,[status(thm)],[c_1331,c_58]) ).
cnf(c_1402,plain,
( identity = sk_c7
| multiply(sk_c6,sk_c4) = identity ),
inference(copy,[status(thm)],[c_14872]) ).
cnf(c_14873,plain,
( multiply(inverse(sk_c6),identity) = sk_c4
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_1402,c_31]) ).
cnf(c_1405,plain,
( inverse(sk_c6) = sk_c4
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_814,c_14873]) ).
cnf(c_14874,plain,
( multiply(sk_c7,sk_c3) = identity
| identity = sk_c7
| multiply(sk_c7,sk_c3) = identity ),
inference(paramod,[status(thm)],[c_1342,c_55]) ).
cnf(c_1430,plain,
( identity = sk_c7
| multiply(sk_c7,sk_c3) = identity ),
inference(copy,[status(thm)],[c_14874]) ).
cnf(c_14875,plain,
( multiply(inverse(sk_c7),identity) = sk_c3
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_1430,c_31]) ).
cnf(c_1462,plain,
( inverse(sk_c7) = sk_c3
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_814,c_14875]) ).
cnf(c_1463,plain,
( multiply(sk_c3,sk_c7) = identity
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_1462,c_2]) ).
cnf(c_14876,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| identity = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(paramod,[status(thm)],[c_1375,c_19]) ).
cnf(c_1594,plain,
( identity = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(copy,[status(thm)],[c_14876]) ).
cnf(c_1606,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c7
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_1594,c_31]) ).
cnf(c_14877,plain,
( multiply(sk_c4,sk_c5) = sk_c7
| identity = sk_c7
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_1405,c_1606]) ).
cnf(c_1681,plain,
( multiply(sk_c4,sk_c5) = sk_c7
| identity = sk_c7 ),
inference(copy,[status(thm)],[c_14877]) ).
cnf(c_14878,plain,
( sk_c7 = sk_c6
| multiply(sk_c2,sk_c5) = sk_c7
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_1681,c_23]) ).
cnf(c_1690,plain,
( sk_c6 = sk_c7
| multiply(sk_c2,sk_c5) = sk_c7
| identity = sk_c7 ),
inference(copy,[status(thm)],[c_14878]) ).
cnf(c_14879,plain,
( multiply(sk_c5,sk_c2) = identity
| sk_c7 = sk_c6
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_1681,c_65]) ).
cnf(c_1694,plain,
( multiply(sk_c5,sk_c2) = identity
| sk_c6 = sk_c7
| identity = sk_c7 ),
inference(copy,[status(thm)],[c_14879]) ).
cnf(c_14880,plain,
( multiply(inverse(sk_c5),identity) = sk_c2
| sk_c6 = sk_c7
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_1694,c_31]) ).
cnf(c_1888,plain,
( inverse(sk_c5) = sk_c2
| sk_c6 = sk_c7
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_814,c_14880]) ).
cnf(c_1889,plain,
( multiply(sk_c2,sk_c5) = identity
| sk_c6 = sk_c7
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_1888,c_2]) ).
cnf(c_14881,plain,
( sk_c6 = sk_c7
| identity = sk_c7
| identity = sk_c7
| sk_c6 = sk_c7
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_1889,c_1690]) ).
cnf(c_14882,plain,
( sk_c6 = sk_c7
| identity = sk_c7
| sk_c6 = sk_c7
| identity = sk_c7 ),
inference(copy,[status(thm)],[c_14881]) ).
cnf(c_14883,plain,
( sk_c6 = sk_c7
| sk_c6 = sk_c7
| identity = sk_c7 ),
inference(copy,[status(thm)],[c_14882]) ).
cnf(c_2499,plain,
( sk_c6 = sk_c7
| identity = sk_c7 ),
inference(copy,[status(thm)],[c_14883]) ).
cnf(c_14884,plain,
( multiply(B,sk_c5) != sk_c6
| inverse(B) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(multiply(A,inverse(sk_c5))) != sk_c5
| multiply(A,identity) != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(paramod,[status(thm)],[c_2,c_1314]) ).
cnf(c_14885,plain,
( multiply(B,sk_c5) != sk_c6
| inverse(B) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(multiply(A,inverse(sk_c5))) != sk_c5
| A != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(paramod,[status(thm)],[c_814,c_14884]) ).
cnf(c_2615,plain,
( multiply(B,sk_c5) != sk_c6
| inverse(B) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(multiply(A,inverse(sk_c5))) != sk_c5
| sk_c7 != A
| identity != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(copy,[status(thm)],[c_14885]) ).
cnf(c_2671,plain,
( multiply(sk_c7,A) = A
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_2499,c_1]) ).
cnf(c_2680,plain,
( inverse(sk_c7) = identity
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_2499,c_831]) ).
cnf(c_2702,plain,
( identity = sk_c3
| multiply(sk_c7,sk_c1) = identity
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_2680,c_818]) ).
cnf(c_14886,plain,
( multiply(A,sk_c5) != sk_c6
| inverse(A) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(identity) != sk_c5
| sk_c7 != inverse(inverse(sk_c5))
| identity != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(paramod,[status(thm)],[c_2,c_2615]) ).
cnf(c_14887,plain,
( multiply(A,sk_c5) != sk_c6
| inverse(A) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| identity != sk_c5
| sk_c7 != inverse(inverse(sk_c5))
| identity != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(paramod,[status(thm)],[c_831,c_14886]) ).
cnf(c_2925,plain,
( multiply(A,sk_c5) != sk_c6
| inverse(A) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| identity != sk_c5
| inverse(inverse(sk_c5)) != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(copy,[status(thm)],[c_14887]) ).
cnf(c_2958,plain,
( identity != sk_c6
| inverse(inverse(sk_c5)) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| identity != sk_c5
| inverse(inverse(sk_c5)) != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(paramod,[status(thm)],[c_2,c_2925]) ).
cnf(c_14888,plain,
( identity = sk_c1
| sk_c6 = sk_c7
| identity = sk_c3
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_2702,c_2671]) ).
cnf(c_2985,plain,
( identity = sk_c1
| identity = sk_c3
| sk_c6 = sk_c7 ),
inference(copy,[status(thm)],[c_14888]) ).
cnf(c_2986,plain,
( multiply(sk_c3,A) = A
| identity = sk_c1
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_2985,c_1]) ).
cnf(c_14889,plain,
( multiply(sk_c7,sk_c1) = identity
| sk_c6 = sk_c7
| identity = sk_c1
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_2986,c_50]) ).
cnf(c_4624,plain,
( multiply(sk_c7,sk_c1) = identity
| identity = sk_c1
| sk_c6 = sk_c7 ),
inference(copy,[status(thm)],[c_14889]) ).
cnf(c_14890,plain,
( identity = sk_c1
| sk_c6 = sk_c7
| identity = sk_c1
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_4624,c_2671]) ).
cnf(c_14891,plain,
( identity = sk_c1
| identity = sk_c1
| sk_c6 = sk_c7 ),
inference(copy,[status(thm)],[c_14890]) ).
cnf(c_6414,plain,
( identity = sk_c1
| sk_c6 = sk_c7 ),
inference(copy,[status(thm)],[c_14891]) ).
cnf(c_6415,plain,
( multiply(sk_c1,A) = A
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_6414,c_1]) ).
cnf(c_14892,plain,
( multiply(sk_c7,sk_c3) = identity
| sk_c7 = sk_c6
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_6415,c_42]) ).
cnf(c_14893,plain,
( multiply(sk_c7,sk_c3) = identity
| sk_c6 = sk_c7
| sk_c6 = sk_c7 ),
inference(copy,[status(thm)],[c_14892]) ).
cnf(c_6856,plain,
( multiply(sk_c7,sk_c3) = identity
| sk_c6 = sk_c7 ),
inference(copy,[status(thm)],[c_14893]) ).
cnf(c_14894,plain,
( identity = sk_c3
| sk_c6 = sk_c7
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_6856,c_2671]) ).
cnf(c_7127,plain,
( identity = sk_c3
| sk_c6 = sk_c7 ),
inference(copy,[status(thm)],[c_14894]) ).
cnf(c_7132,plain,
( multiply(sk_c3,A) = A
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_7127,c_1]) ).
cnf(c_14895,plain,
( sk_c6 = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_7132,c_11]) ).
cnf(c_7987,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = sk_c7 ),
inference(copy,[status(thm)],[c_14895]) ).
cnf(c_14896,plain,
( sk_c6 = sk_c7
| sk_c6 = sk_c7
| sk_c6 = sk_c7 ),
inference(paramod,[status(thm)],[c_7987,c_6415]) ).
cnf(c_14897,plain,
( sk_c6 = sk_c7
| sk_c6 = sk_c7 ),
inference(copy,[status(thm)],[c_14896]) ).
cnf(c_8792,plain,
sk_c6 = sk_c7,
inference(copy,[status(thm)],[c_14897]) ).
cnf(c_14898,plain,
( identity != sk_c6
| inverse(inverse(sk_c5)) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| identity != sk_c5
| inverse(inverse(sk_c5)) != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(paramod,[status(thm)],[c_8792,c_2958]) ).
cnf(c_14899,plain,
( identity != sk_c6
| inverse(inverse(sk_c5)) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| identity != sk_c5
| inverse(inverse(sk_c5)) != sk_c7
| identity != sk_c7
| sk_c7 != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(paramod,[status(thm)],[c_8792,c_14898]) ).
cnf(c_14900,plain,
( identity != sk_c6
| inverse(inverse(sk_c5)) != sk_c6
| multiply(sk_c7,sk_c7) != sk_c5
| identity != sk_c5
| inverse(inverse(sk_c5)) != sk_c7
| identity != sk_c7
| sk_c7 != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(paramod,[status(thm)],[c_8792,c_14899]) ).
cnf(c_14901,plain,
( identity != sk_c6
| inverse(inverse(sk_c5)) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5
| identity != sk_c5
| inverse(inverse(sk_c5)) != sk_c7
| identity != sk_c7
| sk_c7 != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(paramod,[status(thm)],[c_8792,c_14900]) ).
cnf(c_14902,plain,
( identity != sk_c7
| inverse(inverse(sk_c5)) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5
| identity != sk_c5
| inverse(inverse(sk_c5)) != sk_c7
| identity != sk_c7
| sk_c7 != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(paramod,[status(thm)],[c_8792,c_14901]) ).
cnf(c_14903,plain,
( identity != sk_c7
| inverse(inverse(sk_c5)) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5
| identity != sk_c5
| inverse(inverse(sk_c5)) != sk_c7
| identity != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(copy,[status(thm)],[c_14902]) ).
cnf(c_14904,plain,
( identity != sk_c7
| inverse(inverse(sk_c5)) != sk_c7
| identity != sk_c5
| inverse(inverse(sk_c5)) != sk_c7
| identity != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(copy,[status(thm)],[c_14903]) ).
cnf(c_14905,plain,
( identity != sk_c7
| identity != sk_c5
| inverse(inverse(sk_c5)) != sk_c7
| identity != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(copy,[status(thm)],[c_14904]) ).
cnf(c_10207,plain,
( identity != sk_c5
| inverse(inverse(sk_c5)) != sk_c7
| identity != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(copy,[status(thm)],[c_14905]) ).
cnf(c_14906,plain,
( sk_c5 != sk_c6
| identity != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| identity != sk_c5
| sk_c5 != sk_c7
| identity != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(paramod,[status(thm)],[c_8792,c_1286]) ).
cnf(c_14907,plain,
( sk_c5 != sk_c6
| identity != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| identity != sk_c5
| sk_c5 != sk_c7
| identity != sk_c7
| sk_c7 != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(paramod,[status(thm)],[c_8792,c_14906]) ).
cnf(c_14908,plain,
( sk_c5 != sk_c6
| identity != sk_c6
| multiply(sk_c7,sk_c7) != sk_c5
| identity != sk_c5
| sk_c5 != sk_c7
| identity != sk_c7
| sk_c7 != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(paramod,[status(thm)],[c_8792,c_14907]) ).
cnf(c_14909,plain,
( sk_c5 != sk_c6
| identity != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5
| identity != sk_c5
| sk_c5 != sk_c7
| identity != sk_c7
| sk_c7 != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(paramod,[status(thm)],[c_8792,c_14908]) ).
cnf(c_14910,plain,
( sk_c5 != sk_c7
| identity != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5
| identity != sk_c5
| sk_c5 != sk_c7
| identity != sk_c7
| sk_c7 != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(paramod,[status(thm)],[c_8792,c_14909]) ).
cnf(c_14911,plain,
( sk_c5 != sk_c7
| identity != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5
| identity != sk_c5
| sk_c5 != sk_c7
| identity != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(copy,[status(thm)],[c_14910]) ).
cnf(c_14912,plain,
( sk_c5 != sk_c7
| identity != sk_c7
| identity != sk_c5
| sk_c5 != sk_c7
| identity != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(copy,[status(thm)],[c_14911]) ).
cnf(c_14913,plain,
( sk_c5 != sk_c7
| identity != sk_c5
| sk_c5 != sk_c7
| identity != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(copy,[status(thm)],[c_14912]) ).
cnf(c_10849,plain,
( identity != sk_c5
| sk_c5 != sk_c7
| identity != sk_c7
| multiply(sk_c7,sk_c7) != sk_c5 ),
inference(copy,[status(thm)],[c_14913]) ).
cnf(c_11117,plain,
( multiply(sk_c7,sk_c1) = identity
| multiply(sk_c3,sk_c7) = sk_c7 ),
inference(paramod,[status(thm)],[c_8792,c_50]) ).
cnf(c_14914,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c7 ),
inference(paramod,[status(thm)],[c_8792,c_11]) ).
cnf(c_11150,plain,
( multiply(sk_c3,sk_c7) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c7 ),
inference(paramod,[status(thm)],[c_8792,c_14914]) ).
cnf(c_14915,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c7,sk_c7) = sk_c5 ),
inference(paramod,[status(thm)],[c_8792,c_4]) ).
cnf(c_14916,plain,
( multiply(sk_c7,sk_c7) = sk_c5
| multiply(sk_c7,sk_c7) = sk_c5 ),
inference(paramod,[status(thm)],[c_8792,c_14915]) ).
cnf(c_11157,plain,
multiply(sk_c7,sk_c7) = sk_c5,
inference(copy,[status(thm)],[c_14916]) ).
cnf(c_14917,plain,
( identity != sk_c5
| sk_c5 != sk_c7
| identity != sk_c7
| sk_c5 != sk_c5 ),
inference(paramod,[status(thm)],[c_11157,c_10849]) ).
cnf(c_11930,plain,
( identity != sk_c5
| sk_c5 != sk_c7
| identity != sk_c7 ),
inference(copy,[status(thm)],[c_14917]) ).
cnf(c_14918,plain,
( identity != sk_c5
| inverse(inverse(sk_c5)) != sk_c7
| identity != sk_c7
| sk_c5 != sk_c5 ),
inference(paramod,[status(thm)],[c_11157,c_10207]) ).
cnf(c_12294,plain,
( identity != sk_c5
| inverse(inverse(sk_c5)) != sk_c7
| identity != sk_c7 ),
inference(copy,[status(thm)],[c_14918]) ).
cnf(c_12825,plain,
multiply(inverse(sk_c7),sk_c5) = sk_c7,
inference(paramod,[status(thm)],[c_11157,c_31]) ).
cnf(c_14919,plain,
( sk_c7 = identity
| identity = sk_c7
| multiply(sk_c7,sk_c1) = identity ),
inference(paramod,[status(thm)],[c_11117,c_1463]) ).
cnf(c_14920,plain,
( identity = sk_c7
| identity = sk_c7
| multiply(sk_c7,sk_c1) = identity ),
inference(copy,[status(thm)],[c_14919]) ).
cnf(c_13619,plain,
( identity = sk_c7
| multiply(sk_c7,sk_c1) = identity ),
inference(copy,[status(thm)],[c_14920]) ).
cnf(c_14921,plain,
( multiply(inverse(sk_c7),identity) = sk_c1
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_13619,c_31]) ).
cnf(c_13622,plain,
( inverse(sk_c7) = sk_c1
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_814,c_14921]) ).
cnf(c_14922,plain,
( sk_c1 = sk_c3
| identity = sk_c7
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_13622,c_1462]) ).
cnf(c_14923,plain,
( sk_c3 = sk_c1
| identity = sk_c7
| identity = sk_c7 ),
inference(copy,[status(thm)],[c_14922]) ).
cnf(c_13625,plain,
( sk_c3 = sk_c1
| identity = sk_c7 ),
inference(copy,[status(thm)],[c_14923]) ).
cnf(c_13645,plain,
( inverse(sk_c7) = identity
| sk_c3 = sk_c1 ),
inference(paramod,[status(thm)],[c_13625,c_831]) ).
cnf(c_14924,plain,
( inverse(sk_c7) = sk_c7
| sk_c3 = sk_c1
| sk_c3 = sk_c1 ),
inference(paramod,[status(thm)],[c_13625,c_13645]) ).
cnf(c_13682,plain,
( inverse(sk_c7) = sk_c7
| sk_c3 = sk_c1 ),
inference(copy,[status(thm)],[c_14924]) ).
cnf(c_14925,plain,
( multiply(sk_c7,sk_c7) = identity
| sk_c3 = sk_c1 ),
inference(paramod,[status(thm)],[c_13682,c_2]) ).
cnf(c_14926,plain,
( sk_c5 = identity
| sk_c3 = sk_c1 ),
inference(paramod,[status(thm)],[c_11157,c_14925]) ).
cnf(c_13684,plain,
( identity = sk_c5
| sk_c3 = sk_c1 ),
inference(copy,[status(thm)],[c_14926]) ).
cnf(c_13691,plain,
( inverse(sk_c5) = identity
| sk_c3 = sk_c1 ),
inference(paramod,[status(thm)],[c_13684,c_831]) ).
cnf(c_14927,plain,
( identity != sk_c5
| inverse(identity) != sk_c7
| identity != sk_c7
| sk_c3 = sk_c1 ),
inference(paramod,[status(thm)],[c_13691,c_12294]) ).
cnf(c_14928,plain,
( identity != sk_c5
| identity != sk_c7
| identity != sk_c7
| sk_c3 = sk_c1 ),
inference(paramod,[status(thm)],[c_831,c_14927]) ).
cnf(c_13717,plain,
( identity != sk_c5
| identity != sk_c7
| sk_c3 = sk_c1 ),
inference(copy,[status(thm)],[c_14928]) ).
cnf(c_14929,plain,
( sk_c3 = sk_c1
| identity != sk_c5
| sk_c3 = sk_c1 ),
inference(resolve,[status(thm)],[c_13717,c_13625]) ).
cnf(c_13723,plain,
( identity != sk_c5
| sk_c3 = sk_c1 ),
inference(copy,[status(thm)],[c_14929]) ).
cnf(c_14930,plain,
( sk_c3 = sk_c1
| sk_c3 = sk_c1 ),
inference(resolve,[status(thm)],[c_13723,c_13684]) ).
cnf(c_13725,plain,
sk_c3 = sk_c1,
inference(copy,[status(thm)],[c_14930]) ).
cnf(c_14931,plain,
( multiply(sk_c1,sk_c7) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c7 ),
inference(paramod,[status(thm)],[c_13725,c_11150]) ).
cnf(c_14591,plain,
multiply(sk_c1,sk_c7) = sk_c7,
inference(copy,[status(thm)],[c_14931]) ).
cnf(c_14932,plain,
( multiply(sk_c1,sk_c7) = identity
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_13725,c_1463]) ).
cnf(c_14933,plain,
( sk_c7 = identity
| identity = sk_c7 ),
inference(paramod,[status(thm)],[c_14591,c_14932]) ).
cnf(c_14934,plain,
( identity = sk_c7
| identity = sk_c7 ),
inference(copy,[status(thm)],[c_14933]) ).
cnf(c_14600,plain,
identity = sk_c7,
inference(copy,[status(thm)],[c_14934]) ).
cnf(c_14935,plain,
( identity != sk_c5
| sk_c5 != sk_c7
| sk_c7 != sk_c7 ),
inference(paramod,[status(thm)],[c_14600,c_11930]) ).
cnf(c_14936,plain,
( sk_c7 != sk_c5
| sk_c5 != sk_c7
| sk_c7 != sk_c7 ),
inference(paramod,[status(thm)],[c_14600,c_14935]) ).
cnf(c_14937,plain,
( sk_c5 != sk_c7
| sk_c5 != sk_c7
| sk_c7 != sk_c7 ),
inference(copy,[status(thm)],[c_14936]) ).
cnf(c_14938,plain,
( sk_c5 != sk_c7
| sk_c5 != sk_c7 ),
inference(copy,[status(thm)],[c_14937]) ).
cnf(c_14843,plain,
sk_c5 != sk_c7,
inference(copy,[status(thm)],[c_14938]) ).
cnf(c_14939,plain,
inverse(sk_c7) = identity,
inference(paramod,[status(thm)],[c_14600,c_831]) ).
cnf(c_14850,plain,
inverse(sk_c7) = sk_c7,
inference(paramod,[status(thm)],[c_14600,c_14939]) ).
cnf(c_14853,plain,
multiply(sk_c7,A) = A,
inference(paramod,[status(thm)],[c_14600,c_1]) ).
cnf(c_14940,plain,
multiply(sk_c7,sk_c5) = sk_c7,
inference(paramod,[status(thm)],[c_14850,c_12825]) ).
cnf(c_14941,plain,
sk_c5 = sk_c7,
inference(paramod,[status(thm)],[c_14853,c_14940]) ).
cnf(c_14864,plain,
$false,
inference(resolve,[status(thm)],[c_14843,c_14941]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP291-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 14:39:03 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 2514633 was started by sandbox on n017,
% 0.09/0.38 % Fri Sep 25 14:39:03 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 107.06/14.00
% 107.06/14.00 % SZS status Unsatisfiable for theBenchmark
% 107.06/14.00
% 107.06/14.00 % Proof 1 at 4.91 (+ 0.63) seconds.
% 107.06/14.00 % Length of proof is 105.
% 107.06/14.00 % Level of proof is 39.
% 107.06/14.00 % Maximum clause weight is 56.000.
% 107.06/14.00 % Given clauses 437.
% 107.06/14.00
% 107.06/14.00 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------