%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWC003-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 07:32:06 AM UTC 2026
% Result : Unsatisfiable 0.93s 0.70s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 10
% Syntax : Number of formulae : 82 ( 72 unt; 0 def)
% Number of atoms : 94 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-10 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-8 aty)
% Number of variables : 143 ( 60 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(create_test,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( output(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8)
| ~ test(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9) ),
file('theBenchmark.p',create_test) ).
cnf(c_1,plain,
( output(A,B,C,D,E,F,V6,V7,V8)
| ~ test(A,B,C,D,E,F,V6,V7,V8,V9) ),
inference(clausify,[status(thm)],[create_test]) ).
fof(inverter_test,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8] :
( test(not(VAR_0),not(VAR_1),not(VAR_2),not(VAR_3),not(VAR_4),not(VAR_5),not(VAR_6),not(VAR_7),add_inverter(VAR_8,inverter_table(not(VAR_0),not(VAR_1),not(VAR_2),not(VAR_3),not(VAR_4),not(VAR_5),not(VAR_6),not(VAR_7))),make_reverse_list(list(inverter_table(not(VAR_0),not(VAR_1),not(VAR_2),not(VAR_3),not(VAR_4),not(VAR_5),not(VAR_6),not(VAR_7)),VAR_8)))
| ~ output(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8) ),
file('theBenchmark.p',inverter_test) ).
cnf(c_2,plain,
( test(not(A),not(B),not(C),not(D),not(E),not(F),not(V6),not(V7),add_inverter(V8,inverter_table(not(A),not(B),not(C),not(D),not(E),not(F),not(V6),not(V7))),make_reverse_list(list(inverter_table(not(A),not(B),not(C),not(D),not(E),not(F),not(V6),not(V7)),V8)))
| ~ output(A,B,C,D,E,F,V6,V7,V8) ),
inference(clausify,[status(thm)],[inverter_test]) ).
cnf(c_3,plain,
( ~ output(A,B,C,D,E,F,V6,V7,V8)
| output(not(A),not(B),not(C),not(D),not(E),not(F),not(V6),not(V7),add_inverter(V8,inverter_table(not(A),not(B),not(C),not(D),not(E),not(F),not(V6),not(V7)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(prove_cannot_construct_this,axiom,
! [VAR_0] :
( ~ output(n1,n0,n1,n0,n1,n0,n1,n0,VAR_0)
| ~ output(n1,n1,n0,n0,n1,n1,n0,n0,VAR_0)
| ~ output(n1,n1,n1,n1,n0,n0,n0,n0,VAR_0) ),
file('theBenchmark.p',prove_cannot_construct_this) ).
cnf(c_4,plain,
( ~ output(n1,n0,n1,n0,n1,n0,n1,n0,A)
| ~ output(n1,n1,n0,n0,n1,n1,n0,n0,A)
| ~ output(n1,n1,n1,n1,n0,n0,n0,n0,A) ),
inference(clausify,[status(thm)],[prove_cannot_construct_this]) ).
fof(input3,axiom,
! [VAR_0] : output(n0,n1,n0,n1,n0,n1,n0,n1,VAR_0),
file('theBenchmark.p',input3) ).
cnf(c_5,plain,
output(n0,n1,n0,n1,n0,n1,n0,n1,A),
inference(clausify,[status(thm)],[input3]) ).
fof(input2,axiom,
! [VAR_0] : output(n0,n0,n1,n1,n0,n0,n1,n1,VAR_0),
file('theBenchmark.p',input2) ).
cnf(c_6,plain,
output(n0,n0,n1,n1,n0,n0,n1,n1,A),
inference(clausify,[status(thm)],[input2]) ).
fof(input1,axiom,
! [VAR_0] : output(n0,n0,n0,n0,n1,n1,n1,n1,VAR_0),
file('theBenchmark.p',input1) ).
cnf(c_7,plain,
output(n0,n0,n0,n0,n1,n1,n1,n1,A),
inference(clausify,[status(thm)],[input1]) ).
fof(add_inverter_definition2,axiom,
! [VAR_0,VAR_1] : add_inverter(VAR_0,VAR_1) = list(VAR_1,VAR_0),
file('theBenchmark.p',add_inverter_definition2) ).
cnf(c_19,plain,
add_inverter(A,B) = list(B,A),
inference(clausify,[status(thm)],[add_inverter_definition2]) ).
fof(add_inverter_definition1,axiom,
! [VAR_0,VAR_1,VAR_2] : add_inverter(list(VAR_0,VAR_1),VAR_2) = list(VAR_0,add_inverter(VAR_1,VAR_2)),
file('theBenchmark.p',add_inverter_definition1) ).
cnf(c_20,plain,
add_inverter(list(A,B),C) = list(A,add_inverter(B,C)),
inference(clausify,[status(thm)],[add_inverter_definition1]) ).
cnf(c_289,plain,
list(C,list(A,B)) = list(A,add_inverter(B,C)),
inference(paramod,[status(thm)],[c_19,c_20]) ).
cnf(c_21,plain,
list(A,list(B,C)) = list(B,list(A,C)),
inference(paramod,[status(thm)],[c_19,c_289]) ).
fof(not_definition2,axiom,
not(n1) = n0,
file('theBenchmark.p',not_definition2) ).
cnf(c_22,plain,
not(n1) = n0,
inference(clausify,[status(thm)],[not_definition2]) ).
fof(not_definition1,axiom,
not(n0) = n1,
file('theBenchmark.p',not_definition1) ).
cnf(c_23,plain,
not(n0) = n1,
inference(clausify,[status(thm)],[not_definition1]) ).
cnf(c_28,plain,
( ~ output(A,B,C,D,E,F,V6,V7,V8)
| output(not(A),not(B),not(C),not(D),not(E),not(F),not(V6),not(V7),list(inverter_table(not(A),not(B),not(C),not(D),not(E),not(F),not(V6),not(V7)),V8)) ),
inference(paramod,[status(thm)],[c_19,c_3]) ).
cnf(c_50,plain,
list(A,list(B,list(C,D))) = list(C,list(A,list(B,D))),
inference(paramod,[status(thm)],[c_21,c_21]) ).
cnf(c_290,plain,
output(not(n0),not(n0),not(n0),not(n0),not(n1),not(n1),not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n0),not(n0),not(n1),not(n1),not(n1),not(n1)),A)),
inference(resolve,[status(thm)],[c_28,c_7]) ).
cnf(c_291,plain,
output(n1,not(n0),not(n0),not(n0),not(n1),not(n1),not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n0),not(n0),not(n1),not(n1),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_290]) ).
cnf(c_292,plain,
output(n1,n1,not(n0),not(n0),not(n1),not(n1),not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n0),not(n0),not(n1),not(n1),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_291]) ).
cnf(c_293,plain,
output(n1,n1,n1,not(n0),not(n1),not(n1),not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n0),not(n0),not(n1),not(n1),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_292]) ).
cnf(c_294,plain,
output(n1,n1,n1,n1,not(n1),not(n1),not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n0),not(n0),not(n1),not(n1),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_293]) ).
cnf(c_295,plain,
output(n1,n1,n1,n1,n0,not(n1),not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n0),not(n0),not(n1),not(n1),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_294]) ).
cnf(c_296,plain,
output(n1,n1,n1,n1,n0,n0,not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n0),not(n0),not(n1),not(n1),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_295]) ).
cnf(c_297,plain,
output(n1,n1,n1,n1,n0,n0,n0,not(n1),list(inverter_table(not(n0),not(n0),not(n0),not(n0),not(n1),not(n1),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_296]) ).
cnf(c_298,plain,
output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(not(n0),not(n0),not(n0),not(n0),not(n1),not(n1),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_297]) ).
cnf(c_299,plain,
output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,not(n0),not(n0),not(n0),not(n1),not(n1),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_298]) ).
cnf(c_300,plain,
output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n1,not(n0),not(n0),not(n1),not(n1),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_299]) ).
cnf(c_301,plain,
output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n1,n1,not(n0),not(n1),not(n1),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_300]) ).
cnf(c_302,plain,
output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n1,n1,n1,not(n1),not(n1),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_301]) ).
cnf(c_303,plain,
output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n1,n1,n1,n0,not(n1),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_302]) ).
cnf(c_304,plain,
output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n1,n1,n1,n0,n0,not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_303]) ).
cnf(c_305,plain,
output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_304]) ).
cnf(c_51,plain,
output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),A)),
inference(paramod,[status(thm)],[c_22,c_305]) ).
cnf(c_306,plain,
output(not(n0),not(n0),not(n1),not(n1),not(n0),not(n0),not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n1),not(n1),not(n0),not(n0),not(n1),not(n1)),A)),
inference(resolve,[status(thm)],[c_28,c_6]) ).
cnf(c_307,plain,
output(n1,not(n0),not(n1),not(n1),not(n0),not(n0),not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n1),not(n1),not(n0),not(n0),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_306]) ).
cnf(c_308,plain,
output(n1,n1,not(n1),not(n1),not(n0),not(n0),not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n1),not(n1),not(n0),not(n0),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_307]) ).
cnf(c_309,plain,
output(n1,n1,n0,not(n1),not(n0),not(n0),not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n1),not(n1),not(n0),not(n0),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_308]) ).
cnf(c_310,plain,
output(n1,n1,n0,n0,not(n0),not(n0),not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n1),not(n1),not(n0),not(n0),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_309]) ).
cnf(c_311,plain,
output(n1,n1,n0,n0,n1,not(n0),not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n1),not(n1),not(n0),not(n0),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_310]) ).
cnf(c_312,plain,
output(n1,n1,n0,n0,n1,n1,not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n1),not(n1),not(n0),not(n0),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_311]) ).
cnf(c_313,plain,
output(n1,n1,n0,n0,n1,n1,n0,not(n1),list(inverter_table(not(n0),not(n0),not(n1),not(n1),not(n0),not(n0),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_312]) ).
cnf(c_314,plain,
output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(not(n0),not(n0),not(n1),not(n1),not(n0),not(n0),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_313]) ).
cnf(c_315,plain,
output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,not(n0),not(n1),not(n1),not(n0),not(n0),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_314]) ).
cnf(c_316,plain,
output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n1,not(n1),not(n1),not(n0),not(n0),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_315]) ).
cnf(c_317,plain,
output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n1,n0,not(n1),not(n0),not(n0),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_316]) ).
cnf(c_318,plain,
output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n1,n0,n0,not(n0),not(n0),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_317]) ).
cnf(c_319,plain,
output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n1,n0,n0,n1,not(n0),not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_318]) ).
cnf(c_320,plain,
output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n1,n0,n0,n1,n1,not(n1),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_319]) ).
cnf(c_321,plain,
output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n1,n0,n0,n1,n1,n0,not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_320]) ).
cnf(c_52,plain,
output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n1,n0,n0,n1,n1,n0,n0),A)),
inference(paramod,[status(thm)],[c_22,c_321]) ).
cnf(c_322,plain,
output(not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),list(inverter_table(not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),not(n0),not(n1)),A)),
inference(resolve,[status(thm)],[c_28,c_5]) ).
cnf(c_323,plain,
output(n1,not(n1),not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),list(inverter_table(not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),not(n0),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_322]) ).
cnf(c_324,plain,
output(n1,n0,not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),list(inverter_table(not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),not(n0),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_323]) ).
cnf(c_325,plain,
output(n1,n0,n1,not(n1),not(n0),not(n1),not(n0),not(n1),list(inverter_table(not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),not(n0),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_324]) ).
cnf(c_326,plain,
output(n1,n0,n1,n0,not(n0),not(n1),not(n0),not(n1),list(inverter_table(not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),not(n0),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_325]) ).
cnf(c_327,plain,
output(n1,n0,n1,n0,n1,not(n1),not(n0),not(n1),list(inverter_table(not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),not(n0),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_326]) ).
cnf(c_328,plain,
output(n1,n0,n1,n0,n1,n0,not(n0),not(n1),list(inverter_table(not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),not(n0),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_327]) ).
cnf(c_329,plain,
output(n1,n0,n1,n0,n1,n0,n1,not(n1),list(inverter_table(not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),not(n0),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_328]) ).
cnf(c_330,plain,
output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),not(n0),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_329]) ).
cnf(c_331,plain,
output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,not(n1),not(n0),not(n1),not(n0),not(n1),not(n0),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_330]) ).
cnf(c_332,plain,
output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n0,not(n0),not(n1),not(n0),not(n1),not(n0),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_331]) ).
cnf(c_333,plain,
output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n0,n1,not(n1),not(n0),not(n1),not(n0),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_332]) ).
cnf(c_334,plain,
output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n0,n1,n0,not(n0),not(n1),not(n0),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_333]) ).
cnf(c_335,plain,
output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n0,n1,n0,n1,not(n1),not(n0),not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_334]) ).
cnf(c_336,plain,
output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n0,n1,n0,n1,n0,not(n0),not(n1)),A)),
inference(paramod,[status(thm)],[c_22,c_335]) ).
cnf(c_337,plain,
output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,not(n1)),A)),
inference(paramod,[status(thm)],[c_23,c_336]) ).
cnf(c_53,plain,
output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),A)),
inference(paramod,[status(thm)],[c_22,c_337]) ).
cnf(c_186,plain,
( ~ output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),A))
| ~ output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),A)) ),
inference(resolve,[status(thm)],[c_51,c_4]) ).
cnf(c_220,plain,
output(n1,n0,n1,n0,n1,n0,n1,n0,list(A,list(B,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),C)))),
inference(paramod,[status(thm)],[c_50,c_53]) ).
cnf(c_284,plain,
( ~ output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),list(A,B)))
| ~ output(n1,n1,n0,n0,n1,n1,n0,n0,list(A,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),B))) ),
inference(paramod,[status(thm)],[c_21,c_186]) ).
cnf(c_338,plain,
~ output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),list(inverter_table(n1,n1,n0,n0,n1,n1,n0,n0),A))),
inference(resolve,[status(thm)],[c_284,c_52]) ).
cnf(c_287,plain,
~ output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n1,n0,n0,n1,n1,n0,n0),list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),A))),
inference(paramod,[status(thm)],[c_21,c_338]) ).
cnf(c_288,plain,
$false,
inference(resolve,[status(thm)],[c_287,c_220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HWC003-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n008.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 15:59:25 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 1421586 was started by sandbox2 on n008,
% 0.17/0.44 % Fri Sep 25 15:59:25 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.45
% 0.17/0.45 % From the command line: assign(max_seconds, 300).
% 0.93/0.70
% 0.93/0.70 % SZS status Unsatisfiable for theBenchmark
% 0.93/0.70
% 0.93/0.70 % Proof 1 at 0.16 (+ 0.08) seconds.
% 0.93/0.70 % Length of proof is 22.
% 0.93/0.70 % Level of proof is 7.
% 0.93/0.70 % Maximum clause weight is 74.000.
% 0.93/0.70 % Given clauses 96.
% 0.93/0.70
% 0.93/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------