%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.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 : Fri Sep 25 02:41:24 PM UTC 2026
% Result : Unsatisfiable 5.19s 1.16s
% Output : Proof 5.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,axiom,
( member(Element,Superset)
| ~ subset(Subset,Superset)
| ~ member(Element,Subset) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',membership_in_subsets) ).
fof(f0_nnf,plain,
! [Element,Subset,Superset] :
( member(Element,Superset)
| ~ subset(Subset,Superset)
| ~ member(Element,Subset) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [Element,Subset,Superset] :
( member(Element,Superset)
| ~ subset(Subset,Superset)
| ~ member(Element,Subset) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( member(X0,X2)
| ~ subset(X1,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(f7,hypothesis,
member(element_of_b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_of_b) ).
fof(f7_nnf,plain,
member(element_of_b,b),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
member(element_of_b,b),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(p10,plain,
( member(element_of_b,X0)
| ~ subset(b,X0) ),
inference(resolution,[status(thm)],[c0,c7]) ).
cnf(f3,axiom,
( subset(Subset,Superset)
| ~ equal_sets(Subset,Superset) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_equal_sets_are_subsets1) ).
fof(f3_nnf,plain,
! [Subset,Superset] :
( subset(Subset,Superset)
| ~ equal_sets(Subset,Superset) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [Subset,Superset] :
( subset(Subset,Superset)
| ~ equal_sets(Subset,Superset) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( subset(X0,X1)
| ~ equal_sets(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(f6,hypothesis,
equal_sets(b,bb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_equals_bb) ).
fof(f6_nnf,plain,
equal_sets(b,bb),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
equal_sets(b,bb),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(p9,plain,
subset(b,bb),
inference(resolution,[status(thm)],[c3,c6]) ).
cnf(p12,plain,
member(element_of_b,bb),
inference(resolution,[status(thm)],[p10,p9]) ).
cnf(f8,negated_conjecture,
~ member(element_of_b,bb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_element_of_bb) ).
fof(f8_nnf,plain,
~ member(element_of_b,bb),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
~ member(element_of_b,bb),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
~ member(element_of_b,bb),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p14,plain,
$false,
inference(resolution,[status(thm)],[p12,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 09:03:57 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.19/1.16 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.19/1.16 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------