%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU275+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 17:41:00 EDT 2024
% Result : Theorem 0.38s 0.59s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 18 unt; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 147 ( 62 ~; 57 |; 22 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 29 ( 4 sgn 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t7_wellord2,conjecture,
! [A] :
( ordinal(A)
=> well_ordering(inclusion_relation(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_wellord2) ).
fof(c0,negated_conjecture,
~ ! [A] :
( ordinal(A)
=> well_ordering(inclusion_relation(A)) ),
inference(assume_negation,[status(cth)],[t7_wellord2]) ).
fof(c1,negated_conjecture,
? [A] :
( ordinal(A)
& ~ well_ordering(inclusion_relation(A)) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [X2] :
( ordinal(X2)
& ~ well_ordering(inclusion_relation(X2)) ),
inference(variable_rename,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
( ordinal(skolem0001)
& ~ well_ordering(inclusion_relation(skolem0001)) ),
inference(skolemize,[status(esa)],[c2]) ).
cnf(c5,negated_conjecture,
~ well_ordering(inclusion_relation(skolem0001)),
inference(split_conjunct,[status(thm)],[c3]) ).
fof(dt_k1_wellord2,axiom,
! [A] : relation(inclusion_relation(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_wellord2) ).
fof(c23,plain,
! [X9] : relation(inclusion_relation(X9)),
inference(variable_rename,[status(thm)],[dt_k1_wellord2]) ).
cnf(c24,plain,
relation(inclusion_relation(X16)),
inference(split_conjunct,[status(thm)],[c23]) ).
fof(t2_wellord2,axiom,
! [A] : reflexive(inclusion_relation(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_wellord2) ).
fof(c16,plain,
! [X7] : reflexive(inclusion_relation(X7)),
inference(variable_rename,[status(thm)],[t2_wellord2]) ).
cnf(c17,plain,
reflexive(inclusion_relation(X15)),
inference(split_conjunct,[status(thm)],[c16]) ).
fof(t3_wellord2,axiom,
! [A] : transitive(inclusion_relation(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_wellord2) ).
fof(c14,plain,
! [X6] : transitive(inclusion_relation(X6)),
inference(variable_rename,[status(thm)],[t3_wellord2]) ).
cnf(c15,plain,
transitive(inclusion_relation(X14)),
inference(split_conjunct,[status(thm)],[c14]) ).
fof(t5_wellord2,axiom,
! [A] : antisymmetric(inclusion_relation(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_wellord2) ).
fof(c9,plain,
! [X4] : antisymmetric(inclusion_relation(X4)),
inference(variable_rename,[status(thm)],[t5_wellord2]) ).
cnf(c10,plain,
antisymmetric(inclusion_relation(X13)),
inference(split_conjunct,[status(thm)],[c9]) ).
cnf(c4,negated_conjecture,
ordinal(skolem0001),
inference(split_conjunct,[status(thm)],[c3]) ).
fof(t4_wellord2,axiom,
! [A] :
( ordinal(A)
=> connected(inclusion_relation(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_wellord2) ).
fof(c11,plain,
! [A] :
( ~ ordinal(A)
| connected(inclusion_relation(A)) ),
inference(fof_nnf,[status(thm)],[t4_wellord2]) ).
fof(c12,plain,
! [X5] :
( ~ ordinal(X5)
| connected(inclusion_relation(X5)) ),
inference(variable_rename,[status(thm)],[c11]) ).
cnf(c13,plain,
( ~ ordinal(X20)
| connected(inclusion_relation(X20)) ),
inference(split_conjunct,[status(thm)],[c12]) ).
cnf(c49,plain,
connected(inclusion_relation(skolem0001)),
inference(resolution,[status(thm)],[c13,c4]) ).
fof(t6_wellord2,axiom,
! [A] :
( ordinal(A)
=> well_founded_relation(inclusion_relation(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_wellord2) ).
fof(c6,plain,
! [A] :
( ~ ordinal(A)
| well_founded_relation(inclusion_relation(A)) ),
inference(fof_nnf,[status(thm)],[t6_wellord2]) ).
fof(c7,plain,
! [X3] :
( ~ ordinal(X3)
| well_founded_relation(inclusion_relation(X3)) ),
inference(variable_rename,[status(thm)],[c6]) ).
cnf(c8,plain,
( ~ ordinal(X18)
| well_founded_relation(inclusion_relation(X18)) ),
inference(split_conjunct,[status(thm)],[c7]) ).
cnf(c45,plain,
well_founded_relation(inclusion_relation(skolem0001)),
inference(resolution,[status(thm)],[c8,c4]) ).
fof(d4_wellord1,axiom,
! [A] :
( relation(A)
=> ( well_ordering(A)
<=> ( reflexive(A)
& transitive(A)
& antisymmetric(A)
& connected(A)
& well_founded_relation(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_wellord1) ).
fof(c25,plain,
! [A] :
( ~ relation(A)
| ( ( ~ well_ordering(A)
| ( reflexive(A)
& transitive(A)
& antisymmetric(A)
& connected(A)
& well_founded_relation(A) ) )
& ( ~ reflexive(A)
| ~ transitive(A)
| ~ antisymmetric(A)
| ~ connected(A)
| ~ well_founded_relation(A)
| well_ordering(A) ) ) ),
inference(fof_nnf,[status(thm)],[d4_wellord1]) ).
fof(c26,plain,
! [X10] :
( ~ relation(X10)
| ( ( ~ well_ordering(X10)
| ( reflexive(X10)
& transitive(X10)
& antisymmetric(X10)
& connected(X10)
& well_founded_relation(X10) ) )
& ( ~ reflexive(X10)
| ~ transitive(X10)
| ~ antisymmetric(X10)
| ~ connected(X10)
| ~ well_founded_relation(X10)
| well_ordering(X10) ) ) ),
inference(variable_rename,[status(thm)],[c25]) ).
fof(c27,plain,
! [X10] :
( ( ~ relation(X10)
| ~ well_ordering(X10)
| reflexive(X10) )
& ( ~ relation(X10)
| ~ well_ordering(X10)
| transitive(X10) )
& ( ~ relation(X10)
| ~ well_ordering(X10)
| antisymmetric(X10) )
& ( ~ relation(X10)
| ~ well_ordering(X10)
| connected(X10) )
& ( ~ relation(X10)
| ~ well_ordering(X10)
| well_founded_relation(X10) )
& ( ~ relation(X10)
| ~ reflexive(X10)
| ~ transitive(X10)
| ~ antisymmetric(X10)
| ~ connected(X10)
| ~ well_founded_relation(X10)
| well_ordering(X10) ) ),
inference(distribute,[status(thm)],[c26]) ).
cnf(c33,plain,
( ~ relation(X27)
| ~ reflexive(X27)
| ~ transitive(X27)
| ~ antisymmetric(X27)
| ~ connected(X27)
| ~ well_founded_relation(X27)
| well_ordering(X27) ),
inference(split_conjunct,[status(thm)],[c27]) ).
cnf(c53,plain,
( ~ relation(inclusion_relation(skolem0001))
| ~ reflexive(inclusion_relation(skolem0001))
| ~ transitive(inclusion_relation(skolem0001))
| ~ antisymmetric(inclusion_relation(skolem0001))
| ~ connected(inclusion_relation(skolem0001))
| well_ordering(inclusion_relation(skolem0001)) ),
inference(resolution,[status(thm)],[c33,c45]) ).
cnf(c59,plain,
( ~ relation(inclusion_relation(skolem0001))
| ~ reflexive(inclusion_relation(skolem0001))
| ~ transitive(inclusion_relation(skolem0001))
| ~ antisymmetric(inclusion_relation(skolem0001))
| well_ordering(inclusion_relation(skolem0001)) ),
inference(resolution,[status(thm)],[c53,c49]) ).
cnf(c65,plain,
( ~ relation(inclusion_relation(skolem0001))
| ~ reflexive(inclusion_relation(skolem0001))
| ~ transitive(inclusion_relation(skolem0001))
| well_ordering(inclusion_relation(skolem0001)) ),
inference(resolution,[status(thm)],[c59,c10]) ).
cnf(c66,plain,
( ~ relation(inclusion_relation(skolem0001))
| ~ reflexive(inclusion_relation(skolem0001))
| well_ordering(inclusion_relation(skolem0001)) ),
inference(resolution,[status(thm)],[c65,c15]) ).
cnf(c67,plain,
( ~ relation(inclusion_relation(skolem0001))
| well_ordering(inclusion_relation(skolem0001)) ),
inference(resolution,[status(thm)],[c66,c17]) ).
cnf(c68,plain,
well_ordering(inclusion_relation(skolem0001)),
inference(resolution,[status(thm)],[c67,c24]) ).
cnf(c71,plain,
$false,
inference(resolution,[status(thm)],[c68,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU275+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 11:08:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.38/0.59 % Version: 1.5
% 0.38/0.59 % SZS status Theorem
% 0.38/0.59 % SZS output start CNFRefutation
% See solution above
% 0.38/0.59
% 0.38/0.59 % Initial clauses : 20
% 0.38/0.59 % Processed clauses : 38
% 0.38/0.59 % Factors computed : 0
% 0.38/0.59 % Resolvents computed: 33
% 0.38/0.59 % Tautologies deleted: 0
% 0.38/0.59 % Forward subsumed : 10
% 0.38/0.59 % Backward subsumed : 10
% 0.38/0.59 % -------- CPU Time ---------
% 0.38/0.59 % User time : 0.218 s
% 0.38/0.59 % System time : 0.011 s
% 0.38/0.59 % Total time : 0.229 s
%------------------------------------------------------------------------------