%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET578+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 : n028.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 26.81s 3.73s
% Output : CNFRefutation 26.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 40 ( 5 unt; 0 def)
% Number of atoms : 93 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 38 ~; 41 |; 3 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 2 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th19,plain,
! [B,C,D] :
( ! [E] :
( member(E,B)
<=> ( member(E,C)
& member(E,D) ) )
=> B = intersection(C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th19) ).
fof(prove_th19_negated,plain,
~ ! [B,C,D] :
( ! [E] :
( member(E,B)
<=> ( member(E,C)
& member(E,D) ) )
=> B = intersection(C,D) ),
inference(negate_conjecture,[status(cth)],[prove_th19]) ).
cnf(19,plain,
( ~ member(X0,sK5)
| ~ member(X0,sK4)
| member(X0,sK3) ),
inference(cnf,[status(esa)],[prove_th19_negated]) ).
cnf(l0,plain,
( ~ member(sK2(sK3,intersection(sK4,sK5)),sK5)
| ~ member(sK2(sK3,intersection(sK4,sK5)),sK4)
| member(sK2(sK3,intersection(sK4,sK5)),sK3) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(17,plain,
( ~ member(X0,sK3)
| member(X0,sK4) ),
inference(cnf,[status(esa)],[prove_th19_negated]) ).
cnf(l4,plain,
( ~ member(sK2(sK3,intersection(sK4,sK5)),sK3)
| member(sK2(sK3,intersection(sK4,sK5)),sK4) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(18,plain,
( ~ member(X0,sK3)
| member(X0,sK5) ),
inference(cnf,[status(esa)],[prove_th19_negated]) ).
cnf(l129,plain,
( ~ member(sK2(sK3,intersection(sK4,sK5)),sK3)
| member(sK2(sK3,intersection(sK4,sK5)),sK5) ),
inference(instantiation,[status(thm)],[18]) ).
fof(equal_member_defn,plain,
! [B,C] :
( B = C
<=> ! [D] :
( member(D,B)
<=> member(D,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(13,plain,
( X0 = X1
| member(sK2(X0,X1),X0)
| sP0(X1,X0) ),
inference(cnf,[status(esa)],[equal_member_defn]) ).
cnf(l22,plain,
( sK3 = intersection(sK4,sK5)
| member(sK2(sK3,intersection(sK4,sK5)),sK3)
| sP0(intersection(sK4,sK5),sK3) ),
inference(instantiation,[status(thm)],[13]) ).
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(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l1,plain,
( ~ subset(intersection(sK4,sK5),sK5)
| ~ member(sK2(sK3,intersection(sK4,sK5)),intersection(sK4,sK5))
| member(sK2(sK3,intersection(sK4,sK5)),sK5) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(16,plain,
( member(sK2(X0,X1),X1)
| ~ sP0(X1,X0) ),
inference(cnf,[status(esa)],[equal_member_defn]) ).
cnf(l24,plain,
( member(sK2(sK3,intersection(sK4,sK5)),intersection(sK4,sK5))
| ~ sP0(intersection(sK4,sK5),sK3) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l2,plain,
( member(sK2(sK3,intersection(sK4,sK5)),intersection(sK4,sK5))
| ~ sP0(intersection(sK4,sK5),sK3) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(20,plain,
sK3 != intersection(sK4,sK5),
inference(cnf,[status(esa)],[prove_th19_negated]) ).
cnf(l23,plain,
sK3 != intersection(sK4,sK5),
inference(instantiation,[status(thm)],[20]) ).
fof(intersection_defn,plain,
! [B,C,D] :
( member(D,intersection(B,C))
<=> ( member(D,B)
& member(D,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
cnf(0,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
cnf(l30,plain,
( ~ member(sK2(sK3,intersection(sK4,sK5)),intersection(sK4,sK5))
| member(sK2(sK3,intersection(sK4,sK5)),sK4) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l66,plain,
( sK3 = intersection(sK4,sK5)
| member(sK2(sK3,intersection(sK4,sK5)),sK3)
| sP0(intersection(sK4,sK5),sK3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l67,plain,
( ~ member(sK2(sK3,intersection(sK4,sK5)),sK3)
| member(sK2(sK3,intersection(sK4,sK5)),sK5) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(8,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l3,plain,
( subset(intersection(sK4,sK5),sK5)
| member(sK1(intersection(sK4,sK5),sK5),intersection(sK4,sK5)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(2,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
cnf(l162,plain,
( ~ member(sK2(sK3,intersection(sK4,sK5)),sK4)
| ~ member(sK2(sK3,intersection(sK4,sK5)),sK5)
| member(sK2(sK3,intersection(sK4,sK5)),intersection(sK4,sK5)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(14,plain,
( ~ member(sK2(X0,X1),X1)
| X0 = X1
| sP0(X1,X0) ),
inference(cnf,[status(esa)],[equal_member_defn]) ).
cnf(l168,plain,
( ~ member(sK2(sK3,intersection(sK4,sK5)),intersection(sK4,sK5))
| sK3 = intersection(sK4,sK5)
| sP0(intersection(sK4,sK5),sK3) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l68,plain,
sK3 != intersection(sK4,sK5),
inference(instantiation,[status(thm)],[20]) ).
cnf(1,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
cnf(l5,plain,
( ~ member(sK1(intersection(sK4,sK5),sK5),intersection(sK4,sK5))
| member(sK1(intersection(sK4,sK5),sK5),sK5) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(9,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l28,plain,
( ~ member(sK1(intersection(sK4,sK5),sK5),sK5)
| subset(intersection(sK4,sK5),sK5) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(15,plain,
( ~ member(sK2(X0,X1),X0)
| ~ sP0(X1,X0) ),
inference(cnf,[status(esa)],[equal_member_defn]) ).
cnf(l171,plain,
( ~ member(sK2(sK3,intersection(sK4,sK5)),sK3)
| ~ sP0(intersection(sK4,sK5),sK3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l175,plain,
sK3 != intersection(sK4,sK5),
inference(instantiation,[status(thm)],[20]) ).
cnf(l170,plain,
( ~ member(sK2(sK3,intersection(sK4,sK5)),sK3)
| member(sK2(sK3,intersection(sK4,sK5)),sK4) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l129,l22,l1,l24,l2,l23,l30,l66,l67,l3,l162,l168,l68,l5,l28,l171,l175,l170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET578+3 : TPTP v9.0.0. Released v2.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.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 22:02:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 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: 6
% 0.12/0.34 % launching worker at depth: 1
% 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
% 0.12/0.35 % launching worker at depth: 10
% 0.19/0.50 % launching worker at depth: 11
% 26.81/3.73 % SZS status Theorem for theBenchmark
% 26.81/3.73 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------