%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET579+3 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:32:15 PM UTC 2025
% Result : Theorem 60.10s 7.88s
% Output : CNFRefutation 60.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 3 unt; 0 def)
% Number of atoms : 73 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 32 ~; 30 |; 4 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 2 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th20,plain,
! [B,C,D] :
( ! [E] :
( member(E,B)
<=> ( member(E,C)
& ~ member(E,D) ) )
=> B = difference(C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th20) ).
fof(prove_th20_negated,plain,
~ ! [B,C,D] :
( ! [E] :
( member(E,B)
<=> ( member(E,C)
& ~ member(E,D) ) )
=> B = difference(C,D) ),
inference(negate_conjecture,[status(cth)],[prove_th20]) ).
cnf(13,plain,
sK2 != difference(sK3,sK4),
inference(cnf,[status(esa)],[prove_th20_negated]) ).
cnf(l0,plain,
sK2 != difference(sK3,sK4),
inference(instantiation,[status(thm)],[13]) ).
fof(equal_defn,plain,
! [B,C] :
( B = C
<=> ( subset(B,C)
& subset(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
cnf(5,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[equal_defn]) ).
cnf(l1,plain,
( ~ subset(sK2,difference(sK3,sK4))
| ~ subset(difference(sK3,sK4),sK2)
| sK2 = difference(sK3,sK4) ),
inference(instantiation,[status(thm)],[5]) ).
fof(subset_defn,plain,
! [B,C] :
( subset(B,C)
<=> ! [D] :
( member(D,B)
=> member(D,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(7,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l247,plain,
( subset(difference(sK3,sK4),sK2)
| member(sK1(difference(sK3,sK4),sK2),difference(sK3,sK4)) ),
inference(instantiation,[status(thm)],[7]) ).
fof(difference_defn,plain,
! [B,C,D] :
( member(D,difference(B,C))
<=> ( member(D,B)
& ~ member(D,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(2,plain,
( ~ member(X0,X1)
| member(X0,X2)
| member(X0,difference(X1,X2)) ),
inference(cnf,[status(esa)],[difference_defn]) ).
cnf(l252,plain,
( ~ member(sK1(difference(sK3,sK4),sK2),difference(sK3,sK4))
| member(sK1(difference(sK3,sK4),sK2),sK3)
| member(sK1(difference(sK3,sK4),sK2),difference(difference(sK3,sK4),sK3)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(8,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l3,plain,
( ~ member(sK1(sK2,difference(sK3,sK4)),difference(sK3,sK4))
| subset(sK2,difference(sK3,sK4)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l7,plain,
( ~ member(sK1(sK2,difference(sK3,sK4)),sK3)
| member(sK1(sK2,difference(sK3,sK4)),sK4)
| member(sK1(sK2,difference(sK3,sK4)),difference(sK3,sK4)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(10,plain,
( ~ member(X0,sK2)
| member(X0,sK3) ),
inference(cnf,[status(esa)],[prove_th20_negated]) ).
cnf(l44,plain,
( ~ member(sK1(sK2,difference(sK3,sK4)),sK2)
| member(sK1(sK2,difference(sK3,sK4)),sK3) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(11,plain,
( ~ member(X0,sK2)
| ~ member(X0,sK4) ),
inference(cnf,[status(esa)],[prove_th20_negated]) ).
cnf(l43,plain,
( ~ member(sK1(sK2,difference(sK3,sK4)),sK2)
| ~ member(sK1(sK2,difference(sK3,sK4)),sK4) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l45,plain,
( subset(sK2,difference(sK3,sK4))
| member(sK1(sK2,difference(sK3,sK4)),sK2) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l50,plain,
( subset(sK2,difference(sK3,sK4))
| member(sK1(sK2,difference(sK3,sK4)),sK2) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(1,plain,
( ~ member(X0,X1)
| ~ member(X0,difference(X2,X1)) ),
inference(cnf,[status(esa)],[difference_defn]) ).
cnf(l304,plain,
( ~ member(sK1(difference(sK3,sK4),sK2),sK3)
| ~ member(sK1(difference(sK3,sK4),sK2),difference(difference(sK3,sK4),sK3)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
( ~ member(X0,difference(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[difference_defn]) ).
cnf(l305,plain,
( ~ member(sK1(difference(sK3,sK4),sK2),difference(sK3,sK4))
| member(sK1(difference(sK3,sK4),sK2),sK3) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(12,plain,
( ~ member(X0,sK3)
| member(X0,sK2)
| member(X0,sK4) ),
inference(cnf,[status(esa)],[prove_th20_negated]) ).
cnf(l255,plain,
( ~ member(sK1(difference(sK3,sK4),sK2),sK3)
| member(sK1(difference(sK3,sK4),sK2),sK2)
| member(sK1(difference(sK3,sK4),sK2),sK4) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l270,plain,
( ~ member(sK1(difference(sK3,sK4),sK2),sK4)
| ~ member(sK1(difference(sK3,sK4),sK2),difference(sK3,sK4)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l269,plain,
( ~ member(sK1(difference(sK3,sK4),sK2),sK2)
| subset(difference(sK3,sK4),sK2) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l247,l252,l3,l7,l44,l43,l45,l50,l304,l305,l255,l270,l269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET579+3 : TPTP v9.0.0. Released v2.2.0.
% 0.06/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 22:02:19 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 0.20/0.42 % launching worker at depth: 11
% 2.89/0.76 % launching worker at depth: 12
% 60.10/7.88 % SZS status Theorem for theBenchmark
% 60.10/7.88 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------