%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET017-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 17:38:51 EDT 2024
% Result : Unsatisfiable 14.40s 14.60s
% Output : Refutation 14.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 30 ( 15 unt; 4 nHn; 27 RR)
% Number of literals : 48 ( 22 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_left_cancellation_3,negated_conjecture,
y != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_cancellation_3) ).
cnf(transitivity,axiom,
( X189 != X187
| X187 != X188
| X189 = X188 ),
theory(equality) ).
cnf(symmetry,axiom,
( X37 != X36
| X36 = X37 ),
theory(equality) ).
cnf(unordered_pair_member,axiom,
( ~ member(X41,unordered_pair(X42,X40))
| X41 = X42
| X41 = X40 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(subclass_members,axiom,
( ~ subclass(X6,X5)
| ~ member(X4,X6)
| member(X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(unordered_pair3,axiom,
( ~ member(X54,universal_class)
| member(X54,unordered_pair(X55,X54)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
cnf(cartesian_product2,axiom,
( ~ member(ordered_pair(X85,X86),cross_product(X87,X84))
| member(X86,X84) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(prove_left_cancellation_2,negated_conjecture,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_cancellation_2) ).
cnf(c1646,plain,
member(z,universal_class),
inference(resolution,[status(thm)],[prove_left_cancellation_2,cartesian_product2]) ).
cnf(c1664,plain,
member(z,unordered_pair(X389,z)),
inference(resolution,[status(thm)],[c1646,unordered_pair3]) ).
cnf(c1766,plain,
( ~ subclass(unordered_pair(X602,z),X601)
| member(z,X601) ),
inference(resolution,[status(thm)],[c1664,subclass_members]) ).
cnf(equal_implies_subclass2,axiom,
( X15 != X14
| subclass(X14,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
cnf(prove_left_cancellation_1,negated_conjecture,
unordered_pair(x,y) = unordered_pair(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_cancellation_1) ).
cnf(c1626,plain,
subclass(unordered_pair(x,z),unordered_pair(x,y)),
inference(resolution,[status(thm)],[prove_left_cancellation_1,equal_implies_subclass2]) ).
cnf(c20000,plain,
member(z,unordered_pair(x,y)),
inference(resolution,[status(thm)],[c1626,c1766]) ).
cnf(c20009,plain,
( z = x
| z = y ),
inference(resolution,[status(thm)],[c20000,unordered_pair_member]) ).
cnf(c20079,plain,
( z = x
| y = z ),
inference(resolution,[status(thm)],[c20009,symmetry]) ).
cnf(c20396,plain,
z = x,
inference(resolution,[status(thm)],[c20079,prove_left_cancellation_3]) ).
cnf(c20443,plain,
x = z,
inference(resolution,[status(thm)],[c20396,symmetry]) ).
cnf(c20495,plain,
( X1288 != x
| X1288 = z ),
inference(resolution,[status(thm)],[c20443,transitivity]) ).
cnf(cartesian_product1,axiom,
( ~ member(ordered_pair(X74,X75),cross_product(X76,X73))
| member(X74,X76) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(c1640,plain,
member(y,universal_class),
inference(resolution,[status(thm)],[prove_left_cancellation_2,cartesian_product1]) ).
cnf(c1652,plain,
member(y,unordered_pair(X387,y)),
inference(resolution,[status(thm)],[c1640,unordered_pair3]) ).
cnf(c1756,plain,
( ~ subclass(unordered_pair(X588,y),X589)
| member(y,X589) ),
inference(resolution,[status(thm)],[c1652,subclass_members]) ).
cnf(equal_implies_subclass1,axiom,
( X10 != X9
| subclass(X10,X9) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
cnf(c1635,plain,
subclass(unordered_pair(x,y),unordered_pair(x,z)),
inference(resolution,[status(thm)],[prove_left_cancellation_1,equal_implies_subclass1]) ).
cnf(c29469,plain,
member(y,unordered_pair(x,z)),
inference(resolution,[status(thm)],[c1635,c1756]) ).
cnf(c29488,plain,
( y = x
| y = z ),
inference(resolution,[status(thm)],[c29469,unordered_pair_member]) ).
cnf(c29538,plain,
y = z,
inference(resolution,[status(thm)],[c29488,c20495]) ).
cnf(c29603,plain,
$false,
inference(resolution,[status(thm)],[c29538,prove_left_cancellation_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET017-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 19:37:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 14.40/14.60 % Version: 1.5
% 14.40/14.60 % SZS status Unsatisfiable
% 14.40/14.60 % SZS output start CNFRefutation
% See solution above
% 14.40/14.60
% 14.40/14.60 % Initial clauses : 136
% 14.40/14.60 % Processed clauses : 1216
% 14.40/14.60 % Factors computed : 33
% 14.40/14.60 % Resolvents computed: 29568
% 14.40/14.60 % Tautologies deleted: 11
% 14.40/14.60 % Forward subsumed : 709
% 14.40/14.60 % Backward subsumed : 10
% 14.40/14.60 % -------- CPU Time ---------
% 14.40/14.60 % User time : 14.140 s
% 14.40/14.60 % System time : 0.088 s
% 14.40/14.60 % Total time : 14.228 s
%------------------------------------------------------------------------------