%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET239-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 : Thu Sep 24 08:56:38 AM UTC 2026
% Result : Unsatisfiable 30.56s 30.89s
% Output : Proof 30.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 16 RR)
% Number of literals : 25 ( 4 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 11 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
file('SET004-0.ax',subclass_members) ).
cnf(equal_implies_subclass2,axiom,
( subclass(Y,X)
| X != Y ),
file('SET004-0.ax',equal_implies_subclass2) ).
cnf(intersection2,axiom,
( member(Z,Y)
| ~ member(Z,intersection(X,Y)) ),
file('SET004-0.ax',intersection2) ).
cnf(restriction2,axiom,
intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y),
file('SET004-0.ax',restriction2) ).
cnf(prove_restriction_alternate_defn2_1,negated_conjecture,
member(z,restrict(xr,x,y)),
file('theBenchmark.p',prove_restriction_alternate_defn2_1) ).
cnf(prove_restriction_alternate_defn2_2,negated_conjecture,
~ member(z,xr),
file('theBenchmark.p',prove_restriction_alternate_defn2_2) ).
cnf(t1,plain,
member(z,restrict(xr,x,y)),
inference(start,[status(thm),parent(0:0)],[prove_restriction_alternate_defn2_1]) ).
cnf(t2,plain,
( member(z,intersection(cross_product(x,y),xr))
| ~ subclass(restrict(xr,x,y),intersection(cross_product(x,y),xr))
| ~ member(z,restrict(xr,x,y)) ),
inference(extension,[status(thm),parent(t1:1)],[subclass_members]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( intersection(cross_product(x,y),xr) != restrict(xr,x,y)
| subclass(restrict(xr,x,y),intersection(cross_product(x,y),xr)) ),
inference(extension,[status(thm),parent(t2:2)],[equal_implies_subclass2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
intersection(cross_product(x,y),xr) = restrict(xr,x,y),
inference(extension,[status(thm),parent(t4:2)],[restriction2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( member(z,xr)
| ~ member(z,intersection(cross_product(x,y),xr)) ),
inference(extension,[status(thm),parent(t2:3)],[intersection2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
~ member(z,xr),
inference(extension,[status(thm),parent(t8:2)],[prove_restriction_alternate_defn2_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET239-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 19 21:59:34 UTC 2026
% 0.10/0.35 % CPUTime :
% 30.56/30.89 % SZS status Unsatisfiable for theBenchmark
% 30.56/30.89 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------