%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET920+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 03:32:59 PM UTC 2025
% Result : Theorem 2.92s 0.69s
% Output : CNFRefutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 29 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 11 ~; 9 |; 1 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t63_zfmisc_1,plain,
! [A,B,C] :
( set_intersection2(unordered_pair(A,B),C) = unordered_pair(A,B)
=> in(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_zfmisc_1) ).
fof(t63_zfmisc_1_negated,plain,
~ ! [A,B,C] :
( set_intersection2(unordered_pair(A,B),C) = unordered_pair(A,B)
=> in(A,C) ),
inference(negate_conjecture,[status(cth)],[t63_zfmisc_1]) ).
cnf(22,plain,
set_intersection2(unordered_pair(sK5,sK6),sK7) = unordered_pair(sK5,sK6),
inference(cnf,[status(esa)],[t63_zfmisc_1_negated]) ).
cnf(l0,plain,
set_intersection2(unordered_pair(sK5,sK6),sK7) = unordered_pair(sK5,sK6),
inference(instantiation,[status(thm)],[22]) ).
fof(d2_tarski,plain,
! [A,B,C] :
( C = unordered_pair(A,B)
<=> ! [D] :
( in(D,C)
<=> ( D = A
| D = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
cnf(4,plain,
( X0 != unordered_pair(X1,X2)
| X3 != X1
| in(X3,X0) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
cnf(l3,plain,
( set_intersection2(unordered_pair(sK5,sK6),sK7) != unordered_pair(sK5,sK6)
| sK5 != sK5
| in(sK5,set_intersection2(unordered_pair(sK5,sK6),sK7)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(d3_xboole_0,plain,
! [A,B,C] :
( C = set_intersection2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(12,plain,
( X0 != set_intersection2(X1,X2)
| ~ in(X3,X0)
| in(X3,X2) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l17,plain,
( unordered_pair(sK5,sK6) != set_intersection2(unordered_pair(sK5,sK6),sK7)
| ~ in(sK5,unordered_pair(sK5,sK6))
| in(sK5,sK7) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(23,plain,
~ in(sK5,sK7),
inference(cnf,[status(esa)],[t63_zfmisc_1_negated]) ).
cnf(l18,plain,
~ in(sK5,sK7),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l17,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET920+1 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 23:01:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 2.92/0.69 % SZS status Theorem for theBenchmark
% 2.92/0.69 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------