%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU247+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 17:40:56 EDT 2024
% Result : Theorem 59.32s 59.53s
% Output : Refutation 59.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 42 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 10 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 19 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t18_wellord1,conjecture,
! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_wellord1) ).
fof(c6,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
inference(assume_negation,[status(cth)],[t18_wellord1]) ).
fof(c7,negated_conjecture,
? [A,B] :
( relation(B)
& relation_restriction(B,A) != relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
inference(fof_nnf,[status(thm)],[c6]) ).
fof(c8,negated_conjecture,
? [X2,X3] :
( relation(X3)
& relation_restriction(X3,X2) != relation_rng_restriction(X2,relation_dom_restriction(X3,X2)) ),
inference(variable_rename,[status(thm)],[c7]) ).
fof(c9,negated_conjecture,
( relation(skolem0002)
& relation_restriction(skolem0002,skolem0001) != relation_rng_restriction(skolem0001,relation_dom_restriction(skolem0002,skolem0001)) ),
inference(skolemize,[status(esa)],[c8]) ).
cnf(c11,negated_conjecture,
relation_restriction(skolem0002,skolem0001) != relation_rng_restriction(skolem0001,relation_dom_restriction(skolem0002,skolem0001)),
inference(split_conjunct,[status(thm)],[c9]) ).
cnf(symmetry,axiom,
( X23 != X22
| X22 = X23 ),
theory(equality) ).
cnf(c10,negated_conjecture,
relation(skolem0002),
inference(split_conjunct,[status(thm)],[c9]) ).
fof(t140_relat_1,axiom,
! [A,B,C] :
( relation(C)
=> relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_relat_1) ).
fof(c15,plain,
! [A,B,C] :
( ~ relation(C)
| relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ),
inference(fof_nnf,[status(thm)],[t140_relat_1]) ).
fof(c16,plain,
! [X6,X7,X8] :
( ~ relation(X8)
| relation_dom_restriction(relation_rng_restriction(X6,X8),X7) = relation_rng_restriction(X6,relation_dom_restriction(X8,X7)) ),
inference(variable_rename,[status(thm)],[c15]) ).
cnf(c17,plain,
( ~ relation(X122)
| relation_dom_restriction(relation_rng_restriction(X120,X122),X121) = relation_rng_restriction(X120,relation_dom_restriction(X122,X121)) ),
inference(split_conjunct,[status(thm)],[c16]) ).
cnf(c215,plain,
relation_dom_restriction(relation_rng_restriction(X1258,skolem0002),X1259) = relation_rng_restriction(X1258,relation_dom_restriction(skolem0002,X1259)),
inference(resolution,[status(thm)],[c17,c10]) ).
cnf(c6057,plain,
relation_rng_restriction(X4143,relation_dom_restriction(skolem0002,X4142)) = relation_dom_restriction(relation_rng_restriction(X4143,skolem0002),X4142),
inference(resolution,[status(thm)],[c215,symmetry]) ).
cnf(transitivity,axiom,
( X32 != X30
| X30 != X31
| X32 = X31 ),
theory(equality) ).
fof(t17_wellord1,axiom,
! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_wellord1) ).
fof(c12,plain,
! [A,B] :
( ~ relation(B)
| relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A) ),
inference(fof_nnf,[status(thm)],[t17_wellord1]) ).
fof(c13,plain,
! [X4,X5] :
( ~ relation(X5)
| relation_restriction(X5,X4) = relation_dom_restriction(relation_rng_restriction(X4,X5),X4) ),
inference(variable_rename,[status(thm)],[c12]) ).
cnf(c14,plain,
( ~ relation(X103)
| relation_restriction(X103,X104) = relation_dom_restriction(relation_rng_restriction(X104,X103),X104) ),
inference(split_conjunct,[status(thm)],[c13]) ).
cnf(c169,plain,
relation_restriction(skolem0002,X504) = relation_dom_restriction(relation_rng_restriction(X504,skolem0002),X504),
inference(resolution,[status(thm)],[c14,c10]) ).
cnf(c1962,plain,
relation_dom_restriction(relation_rng_restriction(X787,skolem0002),X787) = relation_restriction(skolem0002,X787),
inference(resolution,[status(thm)],[c169,symmetry]) ).
cnf(c3175,plain,
( X7869 != relation_dom_restriction(relation_rng_restriction(X7868,skolem0002),X7868)
| X7869 = relation_restriction(skolem0002,X7868) ),
inference(resolution,[status(thm)],[c1962,transitivity]) ).
cnf(c94398,plain,
relation_rng_restriction(X7876,relation_dom_restriction(skolem0002,X7876)) = relation_restriction(skolem0002,X7876),
inference(resolution,[status(thm)],[c3175,c6057]) ).
cnf(c94637,plain,
relation_restriction(skolem0002,X7882) = relation_rng_restriction(X7882,relation_dom_restriction(skolem0002,X7882)),
inference(resolution,[status(thm)],[c94398,symmetry]) ).
cnf(c94869,plain,
$false,
inference(resolution,[status(thm)],[c94637,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU247+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n018.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 11:31:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 59.32/59.53 % Version: 1.5
% 59.32/59.53 % SZS status Theorem
% 59.32/59.53 % SZS output start CNFRefutation
% See solution above
% 59.32/59.53
% 59.32/59.53 % Initial clauses : 21
% 59.32/59.53 % Processed clauses : 1370
% 59.32/59.53 % Factors computed : 6
% 59.32/59.53 % Resolvents computed: 94847
% 59.32/59.53 % Tautologies deleted: 3
% 59.32/59.53 % Forward subsumed : 2138
% 59.32/59.53 % Backward subsumed : 25
% 59.32/59.53 % -------- CPU Time ---------
% 59.32/59.53 % User time : 58.983 s
% 59.32/59.53 % System time : 0.201 s
% 59.32/59.53 % Total time : 59.184 s
%------------------------------------------------------------------------------