%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP250-1 : 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 : n015.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 07:28:28 AM UTC 2026
% Result : Unsatisfiable 20.92s 3.29s
% Output : CNFRefutation 20.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 12
% Syntax : Number of formulae : 109 ( 24 unt; 0 def)
% Number of atoms : 294 ( 293 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 322 ( 137 ~; 185 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 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 : 64 ( 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,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('theBenchmark.p',prove_this_1) ).
cnf(c_4,plain,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_1]) ).
fof(prove_this_2,axiom,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('theBenchmark.p',prove_this_2) ).
cnf(c_5,plain,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_2]) ).
fof(prove_this_7,axiom,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('theBenchmark.p',prove_this_7) ).
cnf(c_10,plain,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
inference(clausify,[status(thm)],[prove_this_7]) ).
fof(prove_this_8,axiom,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('theBenchmark.p',prove_this_8) ).
cnf(c_11,plain,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(clausify,[status(thm)],[prove_this_8]) ).
fof(prove_this_15,axiom,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('theBenchmark.p',prove_this_15) ).
cnf(c_18,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_15]) ).
fof(prove_this_16,axiom,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('theBenchmark.p',prove_this_16) ).
cnf(c_19,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_16]) ).
fof(prove_this_21,axiom,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('theBenchmark.p',prove_this_21) ).
cnf(c_24,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_21]) ).
fof(prove_this_22,axiom,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('theBenchmark.p',prove_this_22) ).
cnf(c_25,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_22]) ).
fof(prove_this_37,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( multiply(VAR_5,sk_c8) != sk_c7
| inverse(VAR_5) != sk_c7
| inverse(VAR_4) != sk_c8
| multiply(VAR_4,sk_c8) != sk_c7
| inverse(VAR_3) != sk_c9
| multiply(VAR_3,sk_c9) != sk_c8
| multiply(VAR_2,sk_c7) != sk_c8
| inverse(VAR_2) != sk_c8
| inverse(VAR_1) != sk_c8
| multiply(VAR_1,sk_c8) != sk_c7
| inverse(VAR_0) != sk_c9
| multiply(VAR_0,sk_c9) != sk_c8 ),
file('theBenchmark.p',prove_this_37) ).
cnf(c_40,plain,
( multiply(F,sk_c8) != sk_c7
| inverse(F) != sk_c7
| inverse(E) != sk_c8
| multiply(E,sk_c8) != sk_c7
| inverse(D) != sk_c9
| multiply(D,sk_c9) != sk_c8
| multiply(C,sk_c7) != sk_c8
| inverse(C) != sk_c8
| inverse(B) != sk_c8
| multiply(B,sk_c8) != sk_c7
| inverse(A) != sk_c9
| multiply(A,sk_c9) != sk_c8 ),
inference(clausify,[status(thm)],[prove_this_37]) ).
cnf(c_5955,plain,
( multiply(E,sk_c8) != sk_c7
| inverse(E) != sk_c7
| inverse(D) != sk_c8
| multiply(D,sk_c8) != sk_c7
| inverse(A) != sk_c9
| multiply(C,sk_c7) != sk_c8
| inverse(C) != sk_c8
| inverse(B) != sk_c8
| multiply(B,sk_c8) != sk_c7
| inverse(A) != sk_c9
| multiply(A,sk_c9) != sk_c8 ),
inference(factor,[status(thm)],[c_40]) ).
cnf(c_41,plain,
( multiply(E,sk_c8) != sk_c7
| inverse(E) != sk_c7
| inverse(D) != sk_c8
| multiply(D,sk_c8) != sk_c7
| multiply(C,sk_c7) != sk_c8
| inverse(C) != sk_c8
| inverse(B) != sk_c8
| multiply(B,sk_c8) != sk_c7
| inverse(A) != sk_c9
| multiply(A,sk_c9) != sk_c8 ),
inference(copy,[status(thm)],[c_5955]) ).
cnf(c_5956,plain,
( multiply(D,sk_c8) != sk_c7
| inverse(D) != sk_c7
| inverse(B) != sk_c8
| multiply(C,sk_c7) != sk_c8
| inverse(C) != sk_c8
| inverse(B) != sk_c8
| multiply(B,sk_c8) != sk_c7
| inverse(A) != sk_c9
| multiply(A,sk_c9) != sk_c8 ),
inference(factor,[status(thm)],[c_41]) ).
cnf(c_43,plain,
( multiply(D,sk_c8) != sk_c7
| inverse(D) != sk_c7
| multiply(C,sk_c7) != sk_c8
| inverse(C) != sk_c8
| inverse(B) != sk_c8
| multiply(B,sk_c8) != sk_c7
| inverse(A) != sk_c9
| multiply(A,sk_c9) != sk_c8 ),
inference(copy,[status(thm)],[c_5956]) ).
cnf(c_45,plain,
( inverse(B) != sk_c7
| multiply(C,sk_c7) != sk_c8
| inverse(C) != sk_c8
| inverse(B) != sk_c8
| multiply(B,sk_c8) != sk_c7
| inverse(A) != sk_c9
| multiply(A,sk_c9) != sk_c8 ),
inference(factor,[status(thm)],[c_43]) ).
cnf(c_47,plain,
( inverse(B) != sk_c7
| multiply(B,sk_c7) != sk_c8
| inverse(B) != sk_c8
| multiply(B,sk_c8) != sk_c7
| inverse(A) != sk_c9
| multiply(A,sk_c9) != sk_c8 ),
inference(factor,[status(thm)],[c_45]) ).
cnf(c_5957,plain,
multiply(identity,A) = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_2,c_3]) ).
cnf(c_5958,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_1,c_5957]) ).
cnf(c_48,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(copy,[status(thm)],[c_5958]) ).
cnf(c_70,plain,
( multiply(sk_c9,sk_c1) = identity
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(paramod,[status(thm)],[c_10,c_2]) ).
cnf(c_73,plain,
( multiply(sk_c9,sk_c1) = identity
| inverse(sk_c4) = sk_c9 ),
inference(paramod,[status(thm)],[c_11,c_2]) ).
cnf(c_96,plain,
( multiply(sk_c8,sk_c5) = identity
| multiply(sk_c2,sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_19,c_2]) ).
cnf(c_111,plain,
( multiply(sk_c8,sk_c2) = identity
| multiply(sk_c5,sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_24,c_2]) ).
cnf(c_114,plain,
( multiply(sk_c8,sk_c2) = identity
| inverse(sk_c5) = sk_c8 ),
inference(paramod,[status(thm)],[c_25,c_2]) ).
cnf(c_5959,plain,
( inverse(identity) != sk_c7
| multiply(identity,sk_c7) != sk_c8
| inverse(identity) != sk_c8
| sk_c8 != sk_c7
| inverse(A) != sk_c9
| multiply(A,sk_c9) != sk_c8 ),
inference(paramod,[status(thm)],[c_1,c_47]) ).
cnf(c_5960,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c8
| inverse(identity) != sk_c8
| sk_c8 != sk_c7
| inverse(A) != sk_c9
| multiply(A,sk_c9) != sk_c8 ),
inference(paramod,[status(thm)],[c_1,c_5959]) ).
cnf(c_5961,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c8
| inverse(identity) != sk_c8
| sk_c7 != sk_c8
| inverse(A) != sk_c9
| multiply(A,sk_c9) != sk_c8 ),
inference(copy,[status(thm)],[c_5960]) ).
cnf(c_177,plain,
( inverse(identity) != sk_c7
| inverse(identity) != sk_c8
| sk_c7 != sk_c8
| inverse(A) != sk_c9
| multiply(A,sk_c9) != sk_c8 ),
inference(copy,[status(thm)],[c_5961]) ).
cnf(c_179,plain,
multiply(inverse(inverse(A)),identity) = A,
inference(paramod,[status(thm)],[c_2,c_48]) ).
cnf(c_253,plain,
multiply(inverse(inverse(A)),B) = multiply(A,B),
inference(paramod,[status(thm)],[c_48,c_48]) ).
cnf(c_254,plain,
multiply(A,identity) = A,
inference(paramod,[status(thm)],[c_253,c_179]) ).
cnf(c_284,plain,
( inverse(identity) != sk_c7
| inverse(identity) != sk_c8
| sk_c7 != sk_c8
| inverse(inverse(sk_c9)) != sk_c9
| identity != sk_c8 ),
inference(paramod,[status(thm)],[c_2,c_177]) ).
cnf(c_376,plain,
inverse(identity) = identity,
inference(paramod,[status(thm)],[c_254,c_2]) ).
cnf(c_5962,plain,
( inverse(identity) != sk_c7
| identity != sk_c8
| sk_c7 != sk_c8
| inverse(inverse(sk_c9)) != sk_c9
| identity != sk_c8 ),
inference(paramod,[status(thm)],[c_376,c_284]) ).
cnf(c_5963,plain,
( identity != sk_c7
| identity != sk_c8
| sk_c7 != sk_c8
| inverse(inverse(sk_c9)) != sk_c9
| identity != sk_c8 ),
inference(paramod,[status(thm)],[c_376,c_5962]) ).
cnf(c_468,plain,
( identity != sk_c7
| sk_c7 != sk_c8
| inverse(inverse(sk_c9)) != sk_c9
| identity != sk_c8 ),
inference(copy,[status(thm)],[c_5963]) ).
cnf(c_5964,plain,
( multiply(inverse(sk_c9),identity) = sk_c1
| inverse(sk_c4) = sk_c9 ),
inference(paramod,[status(thm)],[c_73,c_48]) ).
cnf(c_500,plain,
( inverse(sk_c9) = sk_c1
| inverse(sk_c4) = sk_c9 ),
inference(paramod,[status(thm)],[c_254,c_5964]) ).
cnf(c_503,plain,
( multiply(sk_c1,sk_c9) = identity
| inverse(sk_c4) = sk_c9 ),
inference(paramod,[status(thm)],[c_500,c_2]) ).
cnf(c_5965,plain,
( multiply(inverse(sk_c8),identity) = sk_c2
| inverse(sk_c5) = sk_c8 ),
inference(paramod,[status(thm)],[c_114,c_48]) ).
cnf(c_912,plain,
( inverse(sk_c8) = sk_c2
| inverse(sk_c5) = sk_c8 ),
inference(paramod,[status(thm)],[c_254,c_5965]) ).
cnf(c_920,plain,
( multiply(sk_c8,sk_c5) = identity
| inverse(sk_c8) = sk_c2 ),
inference(paramod,[status(thm)],[c_912,c_2]) ).
cnf(c_5966,plain,
( inverse(sk_c4) = sk_c9
| identity = sk_c8
| inverse(sk_c4) = sk_c9 ),
inference(paramod,[status(thm)],[c_503,c_5]) ).
cnf(c_1435,plain,
( identity = sk_c8
| inverse(sk_c4) = sk_c9 ),
inference(copy,[status(thm)],[c_5966]) ).
cnf(c_1453,plain,
( multiply(sk_c9,sk_c4) = identity
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_1435,c_2]) ).
cnf(c_5967,plain,
( multiply(inverse(sk_c9),identity) = sk_c4
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_1453,c_48]) ).
cnf(c_1483,plain,
( inverse(sk_c9) = sk_c4
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_254,c_5967]) ).
cnf(c_1534,plain,
( multiply(sk_c4,sk_c9) = identity
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_1483,c_2]) ).
cnf(c_5968,plain,
( identity = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_1534,c_4]) ).
cnf(c_1665,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| identity = sk_c8 ),
inference(copy,[status(thm)],[c_5968]) ).
cnf(c_5969,plain,
( multiply(sk_c9,sk_c1) = identity
| identity = sk_c8
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_1534,c_70]) ).
cnf(c_1695,plain,
( multiply(sk_c9,sk_c1) = identity
| identity = sk_c8 ),
inference(copy,[status(thm)],[c_5969]) ).
cnf(c_5970,plain,
( multiply(inverse(sk_c9),identity) = sk_c1
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_1695,c_48]) ).
cnf(c_2229,plain,
( inverse(sk_c9) = sk_c1
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_254,c_5970]) ).
cnf(c_2263,plain,
( multiply(sk_c1,sk_c9) = identity
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_2229,c_2]) ).
cnf(c_5971,plain,
( multiply(inverse(sk_c8),identity) = sk_c5
| multiply(sk_c2,sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_96,c_48]) ).
cnf(c_2943,plain,
( inverse(sk_c8) = sk_c5
| multiply(sk_c2,sk_c8) = sk_c7 ),
inference(paramod,[status(thm)],[c_254,c_5971]) ).
cnf(c_5972,plain,
( identity = sk_c8
| identity = sk_c8
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_2263,c_1665]) ).
cnf(c_5973,plain,
( identity = sk_c8
| identity = sk_c8 ),
inference(copy,[status(thm)],[c_5972]) ).
cnf(c_3327,plain,
identity = sk_c8,
inference(copy,[status(thm)],[c_5973]) ).
cnf(c_4094,plain,
( multiply(sk_c8,sk_c5) = sk_c8
| inverse(sk_c8) = sk_c2 ),
inference(paramod,[status(thm)],[c_3327,c_920]) ).
cnf(c_5974,plain,
( identity != sk_c7
| sk_c7 != sk_c8
| inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != sk_c8 ),
inference(paramod,[status(thm)],[c_3327,c_468]) ).
cnf(c_5975,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c8
| inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != sk_c8 ),
inference(paramod,[status(thm)],[c_3327,c_5974]) ).
cnf(c_5976,plain,
( sk_c7 != sk_c8
| sk_c7 != sk_c8
| inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != sk_c8 ),
inference(copy,[status(thm)],[c_5975]) ).
cnf(c_5977,plain,
( sk_c7 != sk_c8
| sk_c7 != sk_c8
| inverse(inverse(sk_c9)) != sk_c9 ),
inference(copy,[status(thm)],[c_5976]) ).
cnf(c_4348,plain,
( sk_c7 != sk_c8
| inverse(inverse(sk_c9)) != sk_c9 ),
inference(copy,[status(thm)],[c_5977]) ).
cnf(c_5978,plain,
inverse(sk_c8) = identity,
inference(paramod,[status(thm)],[c_3327,c_376]) ).
cnf(c_4355,plain,
inverse(sk_c8) = sk_c8,
inference(paramod,[status(thm)],[c_3327,c_5978]) ).
cnf(c_4356,plain,
multiply(A,sk_c8) = A,
inference(paramod,[status(thm)],[c_3327,c_254]) ).
cnf(c_5979,plain,
( multiply(sk_c8,sk_c2) = identity
| sk_c5 = sk_c7 ),
inference(paramod,[status(thm)],[c_4356,c_111]) ).
cnf(c_4367,plain,
( multiply(sk_c8,sk_c2) = sk_c8
| sk_c5 = sk_c7 ),
inference(paramod,[status(thm)],[c_3327,c_5979]) ).
cnf(c_4376,plain,
multiply(sk_c8,A) = A,
inference(paramod,[status(thm)],[c_3327,c_1]) ).
cnf(c_5980,plain,
( multiply(sk_c8,sk_c5) = sk_c8
| sk_c8 = sk_c2 ),
inference(paramod,[status(thm)],[c_4355,c_4094]) ).
cnf(c_5981,plain,
( sk_c5 = sk_c8
| sk_c8 = sk_c2 ),
inference(paramod,[status(thm)],[c_4376,c_5980]) ).
cnf(c_4384,plain,
( sk_c5 = sk_c8
| sk_c2 = sk_c8 ),
inference(copy,[status(thm)],[c_5981]) ).
cnf(c_5982,plain,
( inverse(sk_c8) = sk_c5
| sk_c2 = sk_c7 ),
inference(paramod,[status(thm)],[c_4356,c_2943]) ).
cnf(c_5983,plain,
( sk_c8 = sk_c5
| sk_c2 = sk_c7 ),
inference(paramod,[status(thm)],[c_4355,c_5982]) ).
cnf(c_4401,plain,
( sk_c5 = sk_c8
| sk_c2 = sk_c7 ),
inference(copy,[status(thm)],[c_5983]) ).
cnf(c_5984,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c2 = sk_c7 ),
inference(paramod,[status(thm)],[c_4356,c_18]) ).
cnf(c_4867,plain,
( sk_c5 = sk_c7
| sk_c2 = sk_c7 ),
inference(paramod,[status(thm)],[c_4356,c_5984]) ).
cnf(c_4868,plain,
( sk_c2 = sk_c8
| sk_c5 = sk_c7 ),
inference(paramod,[status(thm)],[c_4376,c_4367]) ).
cnf(c_5985,plain,
( sk_c7 = sk_c8
| sk_c2 = sk_c7
| sk_c2 = sk_c7 ),
inference(paramod,[status(thm)],[c_4867,c_4401]) ).
cnf(c_5095,plain,
( sk_c7 = sk_c8
| sk_c2 = sk_c7 ),
inference(copy,[status(thm)],[c_5985]) ).
cnf(c_5986,plain,
( sk_c7 = sk_c8
| sk_c2 = sk_c8
| sk_c2 = sk_c8 ),
inference(paramod,[status(thm)],[c_4868,c_4384]) ).
cnf(c_5245,plain,
( sk_c7 = sk_c8
| sk_c2 = sk_c8 ),
inference(copy,[status(thm)],[c_5986]) ).
cnf(c_5987,plain,
( sk_c7 = sk_c8
| sk_c8 = sk_c7
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_5245,c_5095]) ).
cnf(c_5988,plain,
( sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_5987]) ).
cnf(c_5989,plain,
( sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_5988]) ).
cnf(c_5445,plain,
sk_c7 = sk_c8,
inference(copy,[status(thm)],[c_5989]) ).
cnf(c_5990,plain,
( sk_c8 != sk_c8
| inverse(inverse(sk_c9)) != sk_c9 ),
inference(paramod,[status(thm)],[c_5445,c_4348]) ).
cnf(c_5758,plain,
inverse(inverse(sk_c9)) != sk_c9,
inference(copy,[status(thm)],[c_5990]) ).
cnf(c_5991,plain,
multiply(A,sk_c8) = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_253,c_4356]) ).
cnf(c_5992,plain,
A = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_4356,c_5991]) ).
cnf(c_5953,plain,
inverse(inverse(A)) = A,
inference(copy,[status(thm)],[c_5992]) ).
cnf(c_5954,plain,
$false,
inference(resolve,[status(thm)],[c_5953,c_5758]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP250-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n015.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Fri Sep 25 14:44:28 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.20/0.46 % Process 1625170 was started by sandbox2 on n015,
% 0.20/0.46 % Fri Sep 25 14:44:28 2026
% 0.20/0.46 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.20/0.46
% 0.20/0.46 % From the command line: assign(max_seconds, 300).
% 20.92/3.29
% 20.92/3.29 % SZS status Unsatisfiable for theBenchmark
% 20.92/3.29
% 20.92/3.29 % Proof 1 at 1.94 (+ 0.62) seconds.
% 20.92/3.29 % Length of proof is 59.
% 20.92/3.29 % Level of proof is 20.
% 20.92/3.29 % Maximum clause weight is 58.000.
% 20.92/3.29 % Given clauses 295.
% 20.92/3.29
% 20.92/3.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------