%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET047-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 17:38:58 EDT 2024
% Result : Unsatisfiable 0.54s 0.73s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of clauses : 22 ( 6 unt; 9 nHn; 18 RR)
% Number of literals : 49 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_symmetry2,negated_conjecture,
( ~ set_equal(b,a)
| ~ set_equal(a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry2) ).
cnf(prove_symmetry1,negated_conjecture,
( set_equal(a,b)
| set_equal(b,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry1) ).
cnf(element_substitution2,axiom,
( ~ set_equal(X7,X6)
| ~ element(X5,X6)
| element(X5,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_substitution2) ).
cnf(clause_3,axiom,
( element(f(X9,X8),X9)
| element(f(X9,X8),X8)
| set_equal(X9,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(c2,plain,
( element(f(X25,X26),X26)
| set_equal(X25,X26)
| ~ set_equal(X24,X25)
| element(f(X25,X26),X24) ),
inference(resolution,[status(thm)],[clause_3,element_substitution2]) ).
cnf(c25,plain,
( element(f(a,X60),X60)
| set_equal(a,X60)
| element(f(a,X60),b)
| set_equal(a,b) ),
inference(resolution,[status(thm)],[c2,prove_symmetry1]) ).
cnf(c84,plain,
( element(f(a,b),b)
| set_equal(a,b) ),
inference(factor,[status(thm)],[c25]) ).
cnf(clause_4,axiom,
( ~ element(f(X18,X17),X17)
| ~ element(f(X18,X17),X18)
| set_equal(X18,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(element_substitution1,axiom,
( ~ set_equal(X4,X3)
| ~ element(X2,X4)
| element(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_substitution1) ).
cnf(c102,plain,
( set_equal(a,b)
| ~ set_equal(b,X80)
| element(f(a,b),X80) ),
inference(resolution,[status(thm)],[c84,element_substitution1]) ).
cnf(c191,plain,
( set_equal(a,b)
| element(f(a,b),a) ),
inference(resolution,[status(thm)],[c102,prove_symmetry1]) ).
cnf(c208,plain,
( set_equal(a,b)
| ~ element(f(a,b),b) ),
inference(resolution,[status(thm)],[c191,clause_4]) ).
cnf(c239,plain,
set_equal(a,b),
inference(resolution,[status(thm)],[c208,c84]) ).
cnf(c253,plain,
~ set_equal(b,a),
inference(resolution,[status(thm)],[c239,prove_symmetry2]) ).
cnf(c26,plain,
( element(f(b,X64),X64)
| set_equal(b,X64)
| element(f(b,X64),a)
| set_equal(b,a) ),
inference(resolution,[status(thm)],[c2,prove_symmetry1]) ).
cnf(c108,plain,
( element(f(b,a),a)
| set_equal(b,a) ),
inference(factor,[status(thm)],[c26]) ).
cnf(c286,plain,
element(f(b,a),a),
inference(resolution,[status(thm)],[c253,c108]) ).
cnf(c291,plain,
( ~ set_equal(a,X89)
| element(f(b,a),X89) ),
inference(resolution,[status(thm)],[c286,element_substitution1]) ).
cnf(c304,plain,
element(f(b,a),b),
inference(resolution,[status(thm)],[c291,c239]) ).
cnf(c312,plain,
( ~ element(f(b,a),a)
| set_equal(b,a) ),
inference(resolution,[status(thm)],[c304,clause_4]) ).
cnf(c391,plain,
set_equal(b,a),
inference(resolution,[status(thm)],[c312,c286]) ).
cnf(c398,plain,
$false,
inference(resolution,[status(thm)],[c391,c253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET047-5 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 18:31:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.54/0.73 % Version: 1.5
% 0.54/0.73 % SZS status Unsatisfiable
% 0.54/0.73 % SZS output start CNFRefutation
% See solution above
% 0.54/0.73
% 0.54/0.73 % Initial clauses : 6
% 0.54/0.73 % Processed clauses : 44
% 0.54/0.73 % Factors computed : 36
% 0.54/0.73 % Resolvents computed: 366
% 0.54/0.73 % Tautologies deleted: 5
% 0.54/0.73 % Forward subsumed : 53
% 0.54/0.73 % Backward subsumed : 21
% 0.54/0.73 % -------- CPU Time ---------
% 0.54/0.73 % User time : 0.345 s
% 0.54/0.73 % System time : 0.018 s
% 0.54/0.73 % Total time : 0.364 s
%------------------------------------------------------------------------------