%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP682+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 07:31:11 AM UTC 2026
% Result : Theorem 0.09s 0.46s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 8
% Syntax : Number of formulae : 106 ( 96 unt; 0 def)
% Number of atoms : 116 ( 115 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 18 ~; 8 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 243 ( 0 sgn 22 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f01,axiom,
! [A] : ld(A,mult(A,A)) = A,
file('theBenchmark.p',f01) ).
fof(f02,axiom,
! [A] : rd(mult(A,A),A) = A,
file('theBenchmark.p',f02) ).
fof(f03,axiom,
! [B,A] : mult(A,ld(A,B)) = ld(A,mult(A,B)),
file('theBenchmark.p',f03) ).
fof(f04,axiom,
! [B,A] : mult(rd(A,B),B) = rd(mult(A,B),B),
file('theBenchmark.p',f04) ).
fof(f05,axiom,
! [D,C,B,A] : ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D),
file('theBenchmark.p',f05) ).
fof(f06,axiom,
! [D,C,B,A] : rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)),
file('theBenchmark.p',f06) ).
fof(f07,axiom,
! [B,A] : ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
file('theBenchmark.p',f07) ).
fof(goals,conjecture,
! [X0,X1,X2] :
( ld(rd(X0,X1),mult(rd(X0,X1),X2)) = ld(X0,mult(X0,X2))
& ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,X2)) ),
file('theBenchmark.p',goals) ).
fof(goals_neg,negated_conjecture,
~ ! [X0,X1,X2] :
( ld(rd(X0,X1),mult(rd(X0,X1),X2)) = ld(X0,mult(X0,X2))
& ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,X2)) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_9,plain,
ld(A,mult(A,A)) = A,
inference(clausify,[status(thm)],[f01]) ).
cnf(c_10,plain,
rd(mult(A,A),A) = A,
inference(clausify,[status(thm)],[f02]) ).
cnf(c_11,plain,
ld(A,mult(A,B)) = mult(A,ld(A,B)),
inference(clausify,[status(thm)],[f03]) ).
cnf(c_12,plain,
rd(mult(A,B),B) = mult(rd(A,B),B),
inference(clausify,[status(thm)],[f04]) ).
cnf(c_13,plain,
ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D),
inference(clausify,[status(thm)],[f05]) ).
cnf(c_271,plain,
mult(ld(A,B),ld(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D),
inference(paramod,[status(thm)],[c_11,c_13]) ).
cnf(c_14,plain,
mult(ld(A,B),ld(ld(A,B),mult(C,D))) = mult(mult(A,ld(A,C)),D),
inference(paramod,[status(thm)],[c_11,c_271]) ).
cnf(c_15,plain,
rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)),
inference(clausify,[status(thm)],[f06]) ).
cnf(c_272,plain,
mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)),
inference(paramod,[status(thm)],[c_12,c_15]) ).
cnf(c_16,plain,
mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,mult(rd(B,D),D)),
inference(paramod,[status(thm)],[c_12,c_272]) ).
cnf(c_17,plain,
rd(mult(rd(A,A),B),B) = ld(A,mult(A,ld(B,B))),
inference(clausify,[status(thm)],[f07]) ).
cnf(c_273,plain,
mult(rd(rd(A,A),B),B) = ld(A,mult(A,ld(B,B))),
inference(paramod,[status(thm)],[c_12,c_17]) ).
cnf(c_18,plain,
mult(rd(rd(A,A),B),B) = mult(A,ld(A,ld(B,B))),
inference(paramod,[status(thm)],[c_11,c_273]) ).
fof(nnf_8,plain,
? [X0,X1,X2] :
( ld(rd(X0,X1),mult(rd(X0,X1),X2)) != ld(X0,mult(X0,X2))
| ld(ld(X0,X1),mult(ld(X0,X1),X2)) != ld(X0,mult(X0,X2)) ),
inference(fof_nnf,[status(thm)],[goals_neg]) ).
fof(sk_goals_neg,plain,
( ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2))
| ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[nnf_8]) ).
cnf(c_19,negated_conjecture,
( ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2))
| ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2)) ),
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_274,negated_conjecture,
( ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2))
| mult(ld(sK0,sK1),ld(ld(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2)) ),
inference(paramod,[status(thm)],[c_11,c_19]) ).
cnf(c_275,negated_conjecture,
( ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2))
| mult(ld(sK0,sK1),ld(ld(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2)) ),
inference(paramod,[status(thm)],[c_11,c_274]) ).
cnf(c_276,negated_conjecture,
( mult(rd(sK0,sK1),ld(rd(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2))
| mult(ld(sK0,sK1),ld(ld(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2)) ),
inference(paramod,[status(thm)],[c_11,c_275]) ).
cnf(c_20,negated_conjecture,
( mult(rd(sK0,sK1),ld(rd(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2))
| mult(ld(sK0,sK1),ld(ld(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2)) ),
inference(paramod,[status(thm)],[c_11,c_276]) ).
cnf(c_21,plain,
mult(A,ld(A,A)) = A,
inference(paramod,[status(thm)],[c_11,c_9]) ).
cnf(c_22,plain,
mult(rd(A,A),A) = A,
inference(paramod,[status(thm)],[c_12,c_10]) ).
cnf(c_277,plain,
ld(ld(A,B),mult(mult(A,ld(A,C)),D)) = mult(ld(A,B),ld(ld(A,B),ld(ld(A,B),mult(C,D)))),
inference(paramod,[status(thm)],[c_14,c_11]) ).
cnf(c_23,plain,
mult(ld(A,B),ld(ld(A,B),ld(ld(A,B),mult(C,D)))) = ld(ld(A,B),mult(mult(A,ld(A,C)),D)),
inference(copy,[status(thm)],[c_277]) ).
cnf(c_278,plain,
mult(mult(A,ld(A,B)),ld(ld(A,mult(A,B)),mult(C,D))) = mult(mult(A,ld(A,C)),D),
inference(paramod,[status(thm)],[c_11,c_14]) ).
cnf(c_24,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(C,D))) = mult(mult(A,ld(A,C)),D),
inference(paramod,[status(thm)],[c_11,c_278]) ).
cnf(c_279,plain,
ld(A,A) = mult(A,ld(A,ld(A,A))),
inference(paramod,[status(thm)],[c_21,c_11]) ).
cnf(c_39,plain,
mult(A,ld(A,ld(A,A))) = ld(A,A),
inference(copy,[status(thm)],[c_279]) ).
cnf(c_280,plain,
rd(A,ld(A,A)) = mult(rd(A,ld(A,A)),ld(A,A)),
inference(paramod,[status(thm)],[c_21,c_12]) ).
cnf(c_40,plain,
mult(rd(A,ld(A,A)),ld(A,A)) = rd(A,ld(A,A)),
inference(copy,[status(thm)],[c_280]) ).
cnf(c_42,plain,
mult(rd(A,rd(B,C)),rd(B,C)) = mult(A,mult(rd(ld(A,A),C),C)),
inference(paramod,[status(thm)],[c_21,c_16]) ).
cnf(c_281,plain,
rd(A,A) = mult(rd(rd(A,A),A),A),
inference(paramod,[status(thm)],[c_22,c_12]) ).
cnf(c_282,plain,
rd(A,A) = mult(A,ld(A,ld(A,A))),
inference(paramod,[status(thm)],[c_18,c_281]) ).
cnf(c_44,plain,
rd(A,A) = ld(A,A),
inference(paramod,[status(thm)],[c_39,c_282]) ).
cnf(c_283,plain,
rd(mult(A,A),A) = A,
inference(paramod,[status(thm)],[c_22,c_12]) ).
cnf(c_284,plain,
mult(rd(A,A),A) = A,
inference(paramod,[status(thm)],[c_12,c_283]) ).
cnf(c_45,plain,
mult(ld(A,A),A) = A,
inference(paramod,[status(thm)],[c_44,c_284]) ).
cnf(c_285,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(mult(A,ld(A,rd(C,C))),C),
inference(paramod,[status(thm)],[c_22,c_14]) ).
cnf(c_46,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(mult(A,ld(A,ld(C,C))),C),
inference(paramod,[status(thm)],[c_44,c_285]) ).
cnf(c_286,plain,
rd(A,A) = mult(A,ld(A,ld(rd(A,A),rd(A,A)))),
inference(paramod,[status(thm)],[c_22,c_18]) ).
cnf(c_287,plain,
ld(A,A) = mult(A,ld(A,ld(rd(A,A),rd(A,A)))),
inference(paramod,[status(thm)],[c_44,c_286]) ).
cnf(c_288,plain,
ld(A,A) = mult(A,ld(A,ld(ld(A,A),rd(A,A)))),
inference(paramod,[status(thm)],[c_44,c_287]) ).
cnf(c_289,plain,
ld(A,A) = mult(A,ld(A,ld(ld(A,A),ld(A,A)))),
inference(paramod,[status(thm)],[c_44,c_288]) ).
cnf(c_48,plain,
mult(A,ld(A,ld(ld(A,A),ld(A,A)))) = ld(A,A),
inference(copy,[status(thm)],[c_289]) ).
cnf(c_54,plain,
mult(rd(ld(A,A),B),B) = mult(A,ld(A,ld(B,B))),
inference(paramod,[status(thm)],[c_44,c_18]) ).
cnf(c_55,plain,
mult(rd(A,rd(B,C)),rd(B,C)) = mult(A,mult(A,ld(A,ld(C,C)))),
inference(paramod,[status(thm)],[c_54,c_42]) ).
cnf(c_290,plain,
mult(mult(A,ld(A,B)),ld(ld(A,mult(A,B)),ld(ld(A,mult(A,B)),mult(C,D)))) = ld(ld(A,mult(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_11,c_23]) ).
cnf(c_291,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),ld(ld(A,mult(A,B)),mult(C,D)))) = ld(ld(A,mult(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_11,c_290]) ).
cnf(c_292,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(C,D)))) = ld(ld(A,mult(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_11,c_291]) ).
cnf(c_57,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(C,D)))) = ld(mult(A,ld(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_11,c_292]) ).
cnf(c_293,plain,
mult(A,ld(mult(A,ld(A,A)),mult(B,C))) = mult(mult(A,ld(A,B)),C),
inference(paramod,[status(thm)],[c_21,c_24]) ).
cnf(c_294,plain,
mult(A,ld(A,mult(B,C))) = mult(mult(A,ld(A,B)),C),
inference(paramod,[status(thm)],[c_21,c_293]) ).
cnf(c_87,plain,
mult(mult(A,ld(A,B)),C) = mult(A,ld(A,mult(B,C))),
inference(copy,[status(thm)],[c_294]) ).
cnf(c_295,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),C)) = mult(mult(A,ld(A,C)),ld(C,C)),
inference(paramod,[status(thm)],[c_21,c_24]) ).
cnf(c_296,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),C)))) = mult(mult(A,ld(A,C)),ld(C,C)),
inference(paramod,[status(thm)],[c_87,c_295]) ).
cnf(c_297,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),C)))) = mult(A,ld(A,mult(C,ld(C,C)))),
inference(paramod,[status(thm)],[c_87,c_296]) ).
cnf(c_88,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),C)))) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_21,c_297]) ).
cnf(c_298,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(A,C))) = mult(A,C),
inference(paramod,[status(thm)],[c_21,c_24]) ).
cnf(c_299,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),mult(A,C))))) = mult(A,C),
inference(paramod,[status(thm)],[c_87,c_298]) ).
cnf(c_300,plain,
mult(A,ld(A,mult(A,C))) = mult(A,C),
inference(paramod,[status(thm)],[c_88,c_299]) ).
cnf(c_89,plain,
mult(A,mult(A,ld(A,B))) = mult(A,B),
inference(paramod,[status(thm)],[c_11,c_300]) ).
cnf(c_301,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(C,D)))))) = ld(mult(A,ld(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_87,c_57]) ).
cnf(c_302,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(C,D)))) = ld(mult(A,ld(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_88,c_301]) ).
cnf(c_303,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(C,D)))) = ld(mult(A,ld(A,B)),mult(A,ld(A,mult(C,D)))),
inference(paramod,[status(thm)],[c_87,c_302]) ).
cnf(c_109,plain,
ld(mult(A,ld(A,B)),mult(A,ld(A,mult(C,D)))) = mult(A,ld(A,ld(mult(A,ld(A,B)),mult(C,D)))),
inference(copy,[status(thm)],[c_303]) ).
cnf(c_304,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(A,ld(A,mult(ld(C,C),C))),
inference(paramod,[status(thm)],[c_87,c_46]) ).
cnf(c_111,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_45,c_304]) ).
cnf(c_116,plain,
mult(rd(A,rd(B,C)),rd(B,C)) = mult(A,ld(C,C)),
inference(paramod,[status(thm)],[c_89,c_55]) ).
cnf(c_305,negated_conjecture,
( mult(rd(sK0,sK1),ld(rd(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2))
| mult(sK0,ld(sK0,sK2)) != mult(sK0,ld(sK0,sK2)) ),
inference(paramod,[status(thm)],[c_111,c_20]) ).
cnf(c_120,negated_conjecture,
mult(rd(sK0,sK1),ld(rd(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2)),
inference(copy,[status(thm)],[c_305]) ).
cnf(c_306,plain,
ld(mult(A,ld(A,B)),mult(A,ld(A,mult(B,C)))) = mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),C)),
inference(paramod,[status(thm)],[c_87,c_11]) ).
cnf(c_307,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(B,C)))) = mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),C)),
inference(paramod,[status(thm)],[c_109,c_306]) ).
cnf(c_308,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(B,C)))) = mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),C)))),
inference(paramod,[status(thm)],[c_87,c_307]) ).
cnf(c_128,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(B,C)))) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_88,c_308]) ).
cnf(c_134,plain,
mult(A,ld(A,ld(A,B))) = ld(A,B),
inference(paramod,[status(thm)],[c_111,c_21]) ).
cnf(c_135,plain,
mult(A,ld(A,ld(ld(A,B),ld(A,B)))) = ld(ld(A,B),ld(A,B)),
inference(paramod,[status(thm)],[c_111,c_39]) ).
cnf(c_137,plain,
ld(ld(A,A),ld(A,A)) = ld(A,A),
inference(paramod,[status(thm)],[c_135,c_48]) ).
cnf(c_309,plain,
ld(mult(A,ld(A,B)),C) = mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),C))))),
inference(paramod,[status(thm)],[c_134,c_87]) ).
cnf(c_310,plain,
ld(mult(A,ld(A,B)),C) = mult(A,ld(A,ld(mult(A,ld(A,B)),C))),
inference(paramod,[status(thm)],[c_88,c_309]) ).
cnf(c_153,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),C))) = ld(mult(A,ld(A,B)),C),
inference(copy,[status(thm)],[c_310]) ).
cnf(c_155,plain,
ld(mult(A,ld(A,B)),mult(B,C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_153,c_128]) ).
cnf(c_311,plain,
ld(mult(A,mult(A,ld(A,B))),mult(mult(A,B),C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_11,c_155]) ).
cnf(c_312,plain,
ld(mult(A,B),mult(mult(A,B),C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_89,c_311]) ).
cnf(c_158,plain,
mult(mult(A,B),ld(mult(A,B),C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_11,c_312]) ).
cnf(c_313,plain,
mult(rd(A,ld(B,B)),rd(B,B)) = mult(A,ld(B,B)),
inference(paramod,[status(thm)],[c_44,c_116]) ).
cnf(c_170,plain,
mult(rd(A,ld(B,B)),ld(B,B)) = mult(A,ld(B,B)),
inference(paramod,[status(thm)],[c_44,c_313]) ).
cnf(c_314,plain,
mult(A,ld(A,A)) = rd(A,ld(A,A)),
inference(paramod,[status(thm)],[c_170,c_40]) ).
cnf(c_315,plain,
A = rd(A,ld(A,A)),
inference(paramod,[status(thm)],[c_21,c_314]) ).
cnf(c_178,plain,
rd(A,ld(A,A)) = A,
inference(copy,[status(thm)],[c_315]) ).
cnf(c_316,plain,
mult(rd(A,B),rd(B,ld(B,B))) = mult(A,ld(ld(B,B),ld(B,B))),
inference(paramod,[status(thm)],[c_178,c_116]) ).
cnf(c_317,plain,
mult(rd(A,B),B) = mult(A,ld(ld(B,B),ld(B,B))),
inference(paramod,[status(thm)],[c_178,c_316]) ).
cnf(c_183,plain,
mult(rd(A,B),B) = mult(A,ld(B,B)),
inference(paramod,[status(thm)],[c_137,c_317]) ).
cnf(c_318,plain,
mult(mult(A,ld(B,B)),ld(mult(rd(A,B),B),C)) = mult(rd(A,B),ld(rd(A,B),C)),
inference(paramod,[status(thm)],[c_183,c_158]) ).
cnf(c_319,plain,
mult(mult(A,ld(B,B)),ld(mult(A,ld(B,B)),C)) = mult(rd(A,B),ld(rd(A,B),C)),
inference(paramod,[status(thm)],[c_183,c_318]) ).
cnf(c_320,plain,
mult(A,ld(A,C)) = mult(rd(A,B),ld(rd(A,B),C)),
inference(paramod,[status(thm)],[c_158,c_319]) ).
cnf(c_269,plain,
mult(rd(A,B),ld(rd(A,B),C)) = mult(A,ld(A,C)),
inference(copy,[status(thm)],[c_320]) ).
cnf(c_270,plain,
$false,
inference(resolve,[status(thm)],[c_269,c_120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP682+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n018.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 15:39:05 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 2321724 was started by sandbox2 on n018,
% 0.09/0.37 % Fri Sep 25 15:39:05 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 0.09/0.46
% 0.09/0.46 % SZS status Theorem for theBenchmark
% 0.09/0.46
% 0.09/0.46 % Proof 1 at 0.04 (+ 0.02) seconds.
% 0.09/0.46 % Length of proof is 53.
% 0.09/0.46 % Level of proof is 12.
% 0.09/0.46 % Maximum clause weight is 71.000.
% 0.09/0.46 % Given clauses 41.
% 0.09/0.46
% 0.09/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------