%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SET655+3 : TPTP v9.3.1. Released v2.2.0.
% 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 08:36:45 AM UTC 2026
% Result : Theorem 0.17s 0.54s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 86 ( 23 unt; 0 def)
% Number of atoms : 294 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 354 ( 146 ~; 140 |; 29 &)
% ( 4 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 173 ( 2 sgn 46 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,set_type)
=> ( ( subset(D,E)
& subset(B,C) )
=> subset(cross_product(B,D),cross_product(C,E)) ) ) ) ) ),
file('theBenchmark.p',p2) ).
fof(p3,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ! [E] :
( ilf_type(E,relation_type(B,C))
=> ilf_type(E,subset_type(cross_product(B,C))) )
& ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> ilf_type(D,relation_type(B,C)) ) ) ) ),
file('theBenchmark.p',p3) ).
fof(p5,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( subset(B,C)
<=> ! [D] :
( ilf_type(D,set_type)
=> ( member(D,B)
=> member(D,C) ) ) ) ) ),
file('theBenchmark.p',p5) ).
fof(p7,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ilf_type(C,subset_type(B))
<=> ilf_type(C,member_type(power_set(B))) ) ) ),
file('theBenchmark.p',p7) ).
fof(p9,axiom,
! [B] :
( ilf_type(B,set_type)
=> subset(B,B) ),
file('theBenchmark.p',p9) ).
fof(p10,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( member(B,power_set(C))
<=> ! [D] :
( ilf_type(D,set_type)
=> ( member(D,B)
=> member(D,C) ) ) ) ) ),
file('theBenchmark.p',p10) ).
fof(p11,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( ilf_type(power_set(B),set_type)
& ~ empty(power_set(B)) ) ),
file('theBenchmark.p',p11) ).
fof(p12,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ( ilf_type(C,set_type)
& ~ empty(C) )
=> ( ilf_type(B,member_type(C))
<=> member(B,C) ) ) ),
file('theBenchmark.p',p12) ).
fof(p19,axiom,
! [B] : ilf_type(B,set_type),
file('theBenchmark.p',p19) ).
fof(prove_relset_1_17,conjecture,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,set_type)
=> ! [F] :
( ilf_type(F,relation_type(B,D))
=> ( ( subset(D,E)
& subset(B,C) )
=> ilf_type(F,relation_type(C,E)) ) ) ) ) ) ),
file('theBenchmark.p',prove_relset_1_17) ).
fof(prove_relset_1_17_neg,negated_conjecture,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,set_type)
=> ! [F] :
( ilf_type(F,relation_type(B,D))
=> ( ( subset(D,E)
& subset(B,C) )
=> ilf_type(F,relation_type(C,E)) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_17]) ).
fof(nnf_20,plain,
? [B] :
( ? [C] :
( ? [D] :
( ? [E] :
( ? [F] :
( ~ ilf_type(F,relation_type(C,E))
& subset(D,E)
& subset(B,C)
& ilf_type(F,relation_type(B,D)) )
& ilf_type(E,set_type) )
& ilf_type(D,set_type) )
& ilf_type(C,set_type) )
& ilf_type(B,set_type) ),
inference(fof_nnf,[status(thm)],[prove_relset_1_17_neg]) ).
fof(sk_prove_relset_1_17_neg,plain,
( ~ ilf_type(sK0,relation_type(sK1,sK2))
& subset(sK3,sK2)
& subset(sK4,sK1)
& ilf_type(sK0,relation_type(sK4,sK3))
& ilf_type(sK2,set_type)
& ilf_type(sK3,set_type)
& ilf_type(sK1,set_type)
& ilf_type(sK4,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK1,sK3,sK2,sK0]),skolemize(B,sK4),skolemize(C,sK1),skolemize(D,sK3),skolemize(E,sK2),skolemize(F,sK0)],[nnf_20]) ).
cnf(c_36,negated_conjecture,
~ ilf_type(sK0,relation_type(sK1,sK2)),
inference(split_conjunct,[status(thm)],[sk_prove_relset_1_17_neg]) ).
cnf(c_37,negated_conjecture,
subset(sK3,sK2),
inference(split_conjunct,[status(thm)],[sk_prove_relset_1_17_neg]) ).
cnf(c_38,negated_conjecture,
subset(sK4,sK1),
inference(split_conjunct,[status(thm)],[sk_prove_relset_1_17_neg]) ).
cnf(c_39,negated_conjecture,
ilf_type(sK0,relation_type(sK4,sK3)),
inference(split_conjunct,[status(thm)],[sk_prove_relset_1_17_neg]) ).
cnf(c_44,plain,
ilf_type(A,set_type),
inference(clausify,[status(thm)],[p19]) ).
cnf(c_53,plain,
( ~ member(A,B)
| ilf_type(A,member_type(B))
| ~ ilf_type(B,set_type)
| empty(B)
| ~ ilf_type(A,set_type) ),
inference(clausify,[status(thm)],[p12]) ).
cnf(c_612,plain,
( ~ member(B,A)
| ilf_type(B,member_type(A))
| ~ ilf_type(A,set_type)
| empty(A) ),
inference(resolve,[status(thm)],[c_44,c_53]) ).
cnf(c_54,plain,
( ~ member(B,A)
| ilf_type(B,member_type(A))
| empty(A) ),
inference(resolve,[status(thm)],[c_44,c_612]) ).
cnf(c_55,plain,
( member(A,B)
| ~ ilf_type(A,member_type(B))
| ~ ilf_type(B,set_type)
| empty(B)
| ~ ilf_type(A,set_type) ),
inference(clausify,[status(thm)],[p12]) ).
cnf(c_613,plain,
( member(B,A)
| ~ ilf_type(B,member_type(A))
| ~ ilf_type(A,set_type)
| empty(A) ),
inference(resolve,[status(thm)],[c_44,c_55]) ).
cnf(c_56,plain,
( member(B,A)
| ~ ilf_type(B,member_type(A))
| empty(A) ),
inference(resolve,[status(thm)],[c_44,c_613]) ).
cnf(c_58,plain,
( ~ empty(power_set(A))
| ~ ilf_type(A,set_type) ),
inference(clausify,[status(thm)],[p11]) ).
cnf(c_59,plain,
~ empty(power_set(A)),
inference(resolve,[status(thm)],[c_44,c_58]) ).
fof(nnf_10,plain,
! [B] :
( ! [C] :
( ( ( ? [D] :
( ~ member(D,C)
& member(D,B)
& ilf_type(D,set_type) )
| member(B,power_set(C)) )
& ( ! [X0] :
( member(X0,C)
| ~ member(X0,B)
| ~ ilf_type(X0,set_type) )
| ~ member(B,power_set(C)) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(fof_nnf,[status(thm)],[p10]) ).
fof(sk_p10_sk,plain,
! [B] :
( ! [C] :
( ( ( ( ~ member(sK5(B,C),C)
& member(sK5(B,C),B)
& ilf_type(sK5(B,C),set_type) )
| member(B,power_set(C)) )
& ( ! [X0] :
( member(X0,C)
| ~ member(X0,B)
| ~ ilf_type(X0,set_type) )
| ~ member(B,power_set(C)) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(D,sK5(B,C))],[nnf_10]) ).
fof(sk_p10,plain,
( ! [VAR_0,VAR_1] :
( ~ member(sK5(VAR_0,VAR_1),VAR_1)
| member(VAR_0,power_set(VAR_1))
| ~ ilf_type(VAR_1,set_type)
| ~ ilf_type(VAR_0,set_type) )
& ! [VAR_0,VAR_1] :
( member(sK5(VAR_0,VAR_1),VAR_0)
| member(VAR_0,power_set(VAR_1))
| ~ ilf_type(VAR_1,set_type)
| ~ ilf_type(VAR_0,set_type) )
& ! [VAR_0,VAR_1] :
( ilf_type(sK5(VAR_0,VAR_1),set_type)
| member(VAR_0,power_set(VAR_1))
| ~ ilf_type(VAR_1,set_type)
| ~ ilf_type(VAR_0,set_type) )
& ! [VAR_0,VAR_1,VAR_2] :
( member(VAR_2,VAR_1)
| ~ member(VAR_2,VAR_0)
| ~ ilf_type(VAR_2,set_type)
| ~ member(VAR_0,power_set(VAR_1))
| ~ ilf_type(VAR_1,set_type)
| ~ ilf_type(VAR_0,set_type) ) ),
inference(cnf_transformation,[status(thm)],[sk_p10_sk]) ).
cnf(c_60,plain,
( ~ member(sK5(A,B),B)
| member(A,power_set(B))
| ~ ilf_type(B,set_type)
| ~ ilf_type(A,set_type) ),
inference(split_conjunct,[status(thm)],[sk_p10]) ).
cnf(c_614,plain,
( ~ member(sK5(B,A),A)
| member(B,power_set(A))
| ~ ilf_type(A,set_type) ),
inference(resolve,[status(thm)],[c_44,c_60]) ).
cnf(c_61,plain,
( ~ member(sK5(A,B),B)
| member(A,power_set(B)) ),
inference(resolve,[status(thm)],[c_44,c_614]) ).
cnf(c_62,plain,
( member(sK5(A,B),A)
| member(A,power_set(B))
| ~ ilf_type(B,set_type)
| ~ ilf_type(A,set_type) ),
inference(split_conjunct,[status(thm)],[sk_p10]) ).
cnf(c_615,plain,
( member(sK5(B,A),B)
| member(B,power_set(A))
| ~ ilf_type(A,set_type) ),
inference(resolve,[status(thm)],[c_44,c_62]) ).
cnf(c_63,plain,
( member(sK5(A,B),A)
| member(A,power_set(B)) ),
inference(resolve,[status(thm)],[c_44,c_615]) ).
cnf(c_65,plain,
( member(C,B)
| ~ member(C,A)
| ~ ilf_type(C,set_type)
| ~ member(A,power_set(B))
| ~ ilf_type(B,set_type)
| ~ ilf_type(A,set_type) ),
inference(split_conjunct,[status(thm)],[sk_p10]) ).
cnf(c_616,plain,
( member(C,A)
| ~ member(C,B)
| ~ ilf_type(C,set_type)
| ~ member(B,power_set(A))
| ~ ilf_type(A,set_type) ),
inference(resolve,[status(thm)],[c_44,c_65]) ).
cnf(c_617,plain,
( member(C,B)
| ~ member(C,A)
| ~ ilf_type(C,set_type)
| ~ member(A,power_set(B)) ),
inference(resolve,[status(thm)],[c_44,c_616]) ).
cnf(c_66,plain,
( member(C,B)
| ~ member(C,A)
| ~ member(A,power_set(B)) ),
inference(resolve,[status(thm)],[c_44,c_617]) ).
cnf(c_67,plain,
( subset(A,A)
| ~ ilf_type(A,set_type) ),
inference(clausify,[status(thm)],[p9]) ).
cnf(c_68,plain,
subset(A,A),
inference(resolve,[status(thm)],[c_44,c_67]) ).
cnf(c_71,plain,
( ~ ilf_type(B,member_type(power_set(A)))
| ilf_type(B,subset_type(A))
| ~ ilf_type(B,set_type)
| ~ ilf_type(A,set_type) ),
inference(clausify,[status(thm)],[p7]) ).
cnf(c_618,plain,
( ~ ilf_type(A,member_type(power_set(B)))
| ilf_type(A,subset_type(B))
| ~ ilf_type(A,set_type) ),
inference(resolve,[status(thm)],[c_44,c_71]) ).
cnf(c_72,plain,
( ~ ilf_type(A,member_type(power_set(B)))
| ilf_type(A,subset_type(B)) ),
inference(resolve,[status(thm)],[c_44,c_618]) ).
cnf(c_73,plain,
( ilf_type(B,member_type(power_set(A)))
| ~ ilf_type(B,subset_type(A))
| ~ ilf_type(B,set_type)
| ~ ilf_type(A,set_type) ),
inference(clausify,[status(thm)],[p7]) ).
cnf(c_619,plain,
( ilf_type(A,member_type(power_set(B)))
| ~ ilf_type(A,subset_type(B))
| ~ ilf_type(A,set_type) ),
inference(resolve,[status(thm)],[c_44,c_73]) ).
cnf(c_74,plain,
( ilf_type(A,member_type(power_set(B)))
| ~ ilf_type(A,subset_type(B)) ),
inference(resolve,[status(thm)],[c_44,c_619]) ).
cnf(c_81,plain,
( member(C,B)
| ~ member(C,A)
| ~ ilf_type(C,set_type)
| ~ subset(A,B)
| ~ ilf_type(B,set_type)
| ~ ilf_type(A,set_type) ),
inference(clausify,[status(thm)],[p5]) ).
cnf(c_620,plain,
( member(C,A)
| ~ member(C,B)
| ~ ilf_type(C,set_type)
| ~ subset(B,A)
| ~ ilf_type(A,set_type) ),
inference(resolve,[status(thm)],[c_44,c_81]) ).
cnf(c_621,plain,
( member(C,B)
| ~ member(C,A)
| ~ ilf_type(C,set_type)
| ~ subset(A,B) ),
inference(resolve,[status(thm)],[c_44,c_620]) ).
cnf(c_82,plain,
( member(C,B)
| ~ member(C,A)
| ~ subset(A,B) ),
inference(resolve,[status(thm)],[c_44,c_621]) ).
cnf(c_85,plain,
( ilf_type(C,subset_type(cross_product(A,B)))
| ~ ilf_type(C,relation_type(A,B))
| ~ ilf_type(B,set_type)
| ~ ilf_type(A,set_type) ),
inference(clausify,[status(thm)],[p3]) ).
cnf(c_622,plain,
( ilf_type(B,subset_type(cross_product(C,A)))
| ~ ilf_type(B,relation_type(C,A))
| ~ ilf_type(A,set_type) ),
inference(resolve,[status(thm)],[c_44,c_85]) ).
cnf(c_86,plain,
( ilf_type(A,subset_type(cross_product(B,C)))
| ~ ilf_type(A,relation_type(B,C)) ),
inference(resolve,[status(thm)],[c_44,c_622]) ).
cnf(c_87,plain,
( ilf_type(C,relation_type(A,B))
| ~ ilf_type(C,subset_type(cross_product(A,B)))
| ~ ilf_type(B,set_type)
| ~ ilf_type(A,set_type) ),
inference(clausify,[status(thm)],[p3]) ).
cnf(c_623,plain,
( ilf_type(B,relation_type(C,A))
| ~ ilf_type(B,subset_type(cross_product(C,A)))
| ~ ilf_type(A,set_type) ),
inference(resolve,[status(thm)],[c_44,c_87]) ).
cnf(c_88,plain,
( ilf_type(A,relation_type(B,C))
| ~ ilf_type(A,subset_type(cross_product(B,C))) ),
inference(resolve,[status(thm)],[c_44,c_623]) ).
cnf(c_89,plain,
( subset(cross_product(A,C),cross_product(B,D))
| ~ subset(C,D)
| ~ subset(A,B)
| ~ ilf_type(D,set_type)
| ~ ilf_type(C,set_type)
| ~ ilf_type(B,set_type)
| ~ ilf_type(A,set_type) ),
inference(clausify,[status(thm)],[p2]) ).
cnf(c_624,plain,
( subset(cross_product(D,B),cross_product(A,C))
| ~ subset(B,C)
| ~ subset(D,A)
| ~ ilf_type(C,set_type)
| ~ ilf_type(B,set_type)
| ~ ilf_type(A,set_type) ),
inference(resolve,[status(thm)],[c_44,c_89]) ).
cnf(c_625,plain,
( subset(cross_product(C,A),cross_product(D,B))
| ~ subset(A,B)
| ~ subset(C,D)
| ~ ilf_type(B,set_type)
| ~ ilf_type(A,set_type) ),
inference(resolve,[status(thm)],[c_44,c_624]) ).
cnf(c_626,plain,
( subset(cross_product(B,D),cross_product(C,A))
| ~ subset(D,A)
| ~ subset(B,C)
| ~ ilf_type(A,set_type) ),
inference(resolve,[status(thm)],[c_44,c_625]) ).
cnf(c_90,plain,
( subset(cross_product(A,C),cross_product(B,D))
| ~ subset(C,D)
| ~ subset(A,B) ),
inference(resolve,[status(thm)],[c_44,c_626]) ).
cnf(c_118,plain,
( member(A,power_set(C))
| member(sK5(A,C),B)
| ~ member(A,power_set(B)) ),
inference(resolve,[status(thm)],[c_66,c_63]) ).
cnf(c_127,plain,
ilf_type(sK0,subset_type(cross_product(sK4,sK3))),
inference(resolve,[status(thm)],[c_86,c_39]) ).
cnf(c_129,negated_conjecture,
~ ilf_type(sK0,subset_type(cross_product(sK1,sK2))),
inference(resolve,[status(thm)],[c_88,c_36]) ).
cnf(c_131,plain,
( subset(cross_product(C,A),cross_product(C,B))
| ~ subset(A,B) ),
inference(resolve,[status(thm)],[c_90,c_68]) ).
cnf(c_132,plain,
( subset(cross_product(sK4,A),cross_product(sK1,B))
| ~ subset(A,B) ),
inference(resolve,[status(thm)],[c_90,c_38]) ).
cnf(c_164,plain,
~ ilf_type(sK0,member_type(power_set(cross_product(sK1,sK2)))),
inference(resolve,[status(thm)],[c_72,c_129]) ).
cnf(c_627,plain,
( ~ member(A,power_set(B))
| ilf_type(A,member_type(power_set(B))) ),
inference(resolve,[status(thm)],[c_54,c_59]) ).
cnf(c_165,plain,
~ member(sK0,power_set(cross_product(sK1,sK2))),
inference(resolve,[status(thm)],[c_627,c_164]) ).
cnf(c_168,plain,
~ member(sK5(sK0,cross_product(sK1,sK2)),cross_product(sK1,sK2)),
inference(resolve,[status(thm)],[c_61,c_165]) ).
cnf(c_353,plain,
ilf_type(sK0,member_type(power_set(cross_product(sK4,sK3)))),
inference(resolve,[status(thm)],[c_127,c_74]) ).
cnf(c_421,plain,
subset(cross_product(A,sK3),cross_product(A,sK2)),
inference(resolve,[status(thm)],[c_131,c_37]) ).
cnf(c_628,plain,
( member(A,cross_product(B,sK2))
| ~ member(A,cross_product(B,sK3)) ),
inference(resolve,[status(thm)],[c_82,c_421]) ).
cnf(c_447,plain,
~ member(sK5(sK0,cross_product(sK1,sK2)),cross_product(sK1,sK3)),
inference(resolve,[status(thm)],[c_628,c_168]) ).
cnf(c_460,plain,
subset(cross_product(sK4,A),cross_product(sK1,A)),
inference(resolve,[status(thm)],[c_132,c_68]) ).
cnf(c_629,plain,
( member(sK0,power_set(cross_product(sK1,sK2)))
| ~ member(sK0,power_set(cross_product(sK1,sK3))) ),
inference(resolve,[status(thm)],[c_118,c_447]) ).
cnf(c_493,plain,
~ member(sK0,power_set(cross_product(sK1,sK3))),
inference(resolve,[status(thm)],[c_629,c_165]) ).
cnf(c_500,plain,
~ member(sK5(sK0,cross_product(sK1,sK3)),cross_product(sK1,sK3)),
inference(resolve,[status(thm)],[c_61,c_493]) ).
cnf(c_630,plain,
( member(A,cross_product(sK1,B))
| ~ member(A,cross_product(sK4,B)) ),
inference(resolve,[status(thm)],[c_82,c_460]) ).
cnf(c_520,plain,
~ member(sK5(sK0,cross_product(sK1,sK3)),cross_product(sK4,sK3)),
inference(resolve,[status(thm)],[c_630,c_500]) ).
cnf(c_631,plain,
( member(sK0,power_set(cross_product(sK1,sK3)))
| ~ member(sK0,power_set(cross_product(sK4,sK3))) ),
inference(resolve,[status(thm)],[c_118,c_520]) ).
cnf(c_602,plain,
~ member(sK0,power_set(cross_product(sK4,sK3))),
inference(resolve,[status(thm)],[c_631,c_493]) ).
cnf(c_632,plain,
( member(A,power_set(B))
| ~ ilf_type(A,member_type(power_set(B))) ),
inference(resolve,[status(thm)],[c_56,c_59]) ).
cnf(c_633,plain,
~ ilf_type(sK0,member_type(power_set(cross_product(sK4,sK3)))),
inference(resolve,[status(thm)],[c_632,c_602]) ).
cnf(c_611,plain,
$false,
inference(resolve,[status(thm)],[c_353,c_633]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET655+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n018.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 : Sat Sep 26 08:05:51 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 4140345 was started by sandbox2 on n018,
% 0.17/0.44 % Sat Sep 26 08:05:51 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).
% 0.17/0.54
% 0.17/0.54 % SZS status Theorem for theBenchmark
% 0.17/0.54
% 0.17/0.54 % Proof 1 at 0.05 (+ 0.03) seconds.
% 0.17/0.54 % Length of proof is 58.
% 0.17/0.54 % Level of proof is 12.
% 0.17/0.54 % Maximum clause weight is 27.000.
% 0.17/0.54 % Given clauses 127.
% 0.17/0.54
% 0.17/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------