%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET257-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 : Thu May 9 17:39:26 EDT 2024
% Result : Unsatisfiable 56.18s 56.34s
% Output : Refutation 56.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 20 ( 8 unt; 3 nHn; 11 RR)
% Number of literals : 35 ( 14 equ; 13 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 : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 39 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_restriction_property5_1,negated_conjecture,
restrict(cross_product(x,y),x,y) != cross_product(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_property5_1) ).
cnf(symmetry,axiom,
( X39 != X40
| X40 = X39 ),
theory(equality) ).
cnf(restriction2,axiom,
intersection(cross_product(X162,X163),X164) = restrict(X164,X162,X163),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction2) ).
cnf(c253,plain,
restrict(X937,X939,X938) = intersection(cross_product(X939,X938),X937),
inference(resolution,[status(thm)],[restriction2,symmetry]) ).
cnf(transitivity,axiom,
( X202 != X203
| X203 != X201
| X202 = X201 ),
theory(equality) ).
cnf(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X21,X22),X22)
| subclass(X21,X22) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X14,X15),X14)
| subclass(X14,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(intersection1,axiom,
( ~ member(X114,intersection(X116,X115))
| member(X114,X116) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c152,plain,
( member(not_subclass_element(intersection(X866,X865),X867),X866)
| subclass(intersection(X866,X865),X867) ),
inference(resolution,[status(thm)],[intersection1,not_subclass_members1]) ).
cnf(c6517,plain,
subclass(intersection(X869,X868),X869),
inference(resolution,[status(thm)],[c152,not_subclass_members2]) ).
cnf(subclass_implies_equal,axiom,
( ~ subclass(X31,X32)
| ~ subclass(X32,X31)
| X31 = X32 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(intersection3,axiom,
( ~ member(X122,X124)
| ~ member(X122,X123)
| member(X122,intersection(X124,X123)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(c163,plain,
( ~ member(X160,X161)
| member(X160,intersection(X161,X161)) ),
inference(factor,[status(thm)],[intersection3]) ).
cnf(c235,plain,
( member(not_subclass_element(X792,X791),intersection(X792,X792))
| subclass(X792,X791) ),
inference(resolution,[status(thm)],[c163,not_subclass_members1]) ).
cnf(c5247,plain,
subclass(X793,intersection(X793,X793)),
inference(resolution,[status(thm)],[c235,not_subclass_members2]) ).
cnf(c5282,plain,
( ~ subclass(intersection(X1575,X1575),X1575)
| intersection(X1575,X1575) = X1575 ),
inference(resolution,[status(thm)],[c5247,subclass_implies_equal]) ).
cnf(c30456,plain,
intersection(X1576,X1576) = X1576,
inference(resolution,[status(thm)],[c5282,c6517]) ).
cnf(c30524,plain,
( X1640 != intersection(X1641,X1641)
| X1640 = X1641 ),
inference(resolution,[status(thm)],[c30456,transitivity]) ).
cnf(c33063,plain,
restrict(cross_product(X3224,X3223),X3224,X3223) = cross_product(X3224,X3223),
inference(resolution,[status(thm)],[c30524,c253]) ).
cnf(c72177,plain,
$false,
inference(resolution,[status(thm)],[c33063,prove_restriction_property5_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET257-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 18:49:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 56.18/56.34 % Version: 1.5
% 56.18/56.34 % SZS status Unsatisfiable
% 56.18/56.34 % SZS output start CNFRefutation
% See solution above
% 56.18/56.34
% 56.18/56.34 % Initial clauses : 160
% 56.18/56.34 % Processed clauses : 2244
% 56.18/56.34 % Factors computed : 33
% 56.18/56.34 % Resolvents computed: 72140
% 56.18/56.34 % Tautologies deleted: 16
% 56.18/56.34 % Forward subsumed : 1362
% 56.18/56.34 % Backward subsumed : 41
% 56.18/56.34 % -------- CPU Time ---------
% 56.18/56.34 % User time : 55.809 s
% 56.18/56.34 % System time : 0.189 s
% 56.18/56.34 % Total time : 55.998 s
%------------------------------------------------------------------------------