%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET588+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 : n031.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 03:32:17 PM UTC 2025
% Result : Theorem 0.18s 0.42s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 7 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 57 ( 26 ~; 25 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 3 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_difference_subset1,plain,
! [B,C,D] :
( subset(B,C)
=> subset(difference(B,D),difference(C,D)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_subset1) ).
fof(prove_difference_subset1_negated,plain,
~ ! [B,C,D] :
( subset(B,C)
=> subset(difference(B,D),difference(C,D)) ),
inference(negate_conjecture,[status(cth)],[prove_difference_subset1]) ).
cnf(7,plain,
subset(sK2,sK3),
inference(cnf,[status(esa)],[prove_difference_subset1_negated]) ).
cnf(l0,plain,
subset(sK2,sK3),
inference(instantiation,[status(thm)],[7]) ).
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(3,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l1,plain,
( ~ subset(sK2,sK3)
| ~ member(sK1(difference(sK2,sK4),difference(sK3,sK4)),sK2)
| member(sK1(difference(sK2,sK4),difference(sK3,sK4)),sK3) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l2,plain,
( ~ subset(difference(sK2,X2_16),sK2)
| ~ member(sK1(difference(sK2,sK4),difference(sK3,sK4)),difference(sK2,X2_16))
| member(sK1(difference(sK2,sK4),difference(sK3,sK4)),sK2) ),
inference(instantiation,[status(thm)],[3]) ).
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(l3,plain,
( ~ member(sK1(difference(sK2,sK4),difference(sK3,sK4)),sK3)
| member(sK1(difference(sK2,sK4),difference(sK3,sK4)),sK4)
| member(sK1(difference(sK2,sK4),difference(sK3,sK4)),difference(sK3,sK4)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l4,plain,
( ~ member(sK1(difference(sK2,sK4),difference(sK3,sK4)),difference(sK2,sK4))
| member(sK1(difference(sK2,sK4),difference(sK3,sK4)),difference(sK2,X2_16))
| member(sK1(difference(sK2,sK4),difference(sK3,sK4)),difference(difference(sK2,sK4),difference(sK2,X2_16))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ member(X0,difference(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[difference_defn]) ).
cnf(l6,plain,
( ~ member(sK1(difference(sK2,sK4),difference(sK3,sK4)),difference(difference(sK2,sK4),difference(sK2,X2_16)))
| member(sK1(difference(sK2,sK4),difference(sK3,sK4)),difference(sK2,sK4)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( ~ member(X0,X1)
| ~ member(X0,difference(X2,X1)) ),
inference(cnf,[status(esa)],[difference_defn]) ).
cnf(l8,plain,
( ~ member(sK1(difference(sK2,sK4),difference(sK3,sK4)),sK4)
| ~ member(sK1(difference(sK2,sK4),difference(sK3,sK4)),difference(sK2,sK4)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l15,plain,
( subset(difference(sK2,sK4),difference(sK3,sK4))
| member(sK1(difference(sK2,sK4),difference(sK3,sK4)),difference(sK2,sK4)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(8,plain,
~ subset(difference(sK2,sK4),difference(sK3,sK4)),
inference(cnf,[status(esa)],[prove_difference_subset1_negated]) ).
cnf(l23,plain,
~ subset(difference(sK2,sK4),difference(sK3,sK4)),
inference(instantiation,[status(thm)],[8]) ).
cnf(l9,plain,
( subset(difference(sK2,sK4),difference(sK3,sK4))
| member(sK1(difference(sK2,sK4),difference(sK3,sK4)),difference(sK2,sK4)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(5,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l7,plain,
( ~ member(sK1(difference(sK2,X2_16),sK2),sK2)
| subset(difference(sK2,X2_16),sK2) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l12,plain,
( ~ member(sK1(difference(sK2,sK4),difference(sK3,sK4)),difference(sK2,sK4))
| member(sK1(difference(sK2,sK4),difference(sK3,sK4)),sK2) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l16,plain,
( ~ member(sK1(difference(sK2,X2_16),sK2),difference(sK2,X2_16))
| member(sK1(difference(sK2,X2_16),sK2),sK2) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ member(sK1(difference(sK2,sK4),difference(sK3,sK4)),difference(sK3,sK4))
| subset(difference(sK2,sK4),difference(sK3,sK4)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l13,plain,
~ subset(difference(sK2,sK4),difference(sK3,sK4)),
inference(instantiation,[status(thm)],[8]) ).
cnf(l10,plain,
~ subset(difference(sK2,sK4),difference(sK3,sK4)),
inference(instantiation,[status(thm)],[8]) ).
cnf(l21,plain,
( subset(difference(sK2,X2_16),sK2)
| member(sK1(difference(sK2,X2_16),sK2),difference(sK2,X2_16)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l6,l8,l15,l23,l9,l7,l12,l16,l5,l13,l10,l21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET588+3 : TPTP v9.0.0. Released v2.2.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 22:03:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.18/0.40 % launching worker at depth: 12
% 0.18/0.42 % SZS status Theorem for theBenchmark
% 0.18/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------