TSTP Solution File: SEU275+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 : 600s
% DateTime : Tue Jul 19 13:36:59 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(t7_wellord2,conjecture,
! [A] :
( ordinal(A)
=> well_ordering(inclusion_relation(A)) ),
input ).
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)),
input ).
fof(c23,axiom,
! [X9] : relation(inclusion_relation(X9)),
inference(variable_rename,status(thm),[dt_k1_wellord2]) ).
cnf(c24,axiom,
relation(inclusion_relation(X16)),
inference(split_conjunct,status(thm),[c23]) ).
fof(t2_wellord2,axiom,
! [A] : reflexive(inclusion_relation(A)),
input ).
fof(c16,axiom,
! [X7] : reflexive(inclusion_relation(X7)),
inference(variable_rename,status(thm),[t2_wellord2]) ).
cnf(c17,axiom,
reflexive(inclusion_relation(X15)),
inference(split_conjunct,status(thm),[c16]) ).
fof(t3_wellord2,axiom,
! [A] : transitive(inclusion_relation(A)),
input ).
fof(c14,axiom,
! [X6] : transitive(inclusion_relation(X6)),
inference(variable_rename,status(thm),[t3_wellord2]) ).
cnf(c15,axiom,
transitive(inclusion_relation(X14)),
inference(split_conjunct,status(thm),[c14]) ).
fof(t5_wellord2,axiom,
! [A] : antisymmetric(inclusion_relation(A)),
input ).
fof(c9,axiom,
! [X4] : antisymmetric(inclusion_relation(X4)),
inference(variable_rename,status(thm),[t5_wellord2]) ).
cnf(c10,axiom,
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)) ),
input ).
fof(c11,axiom,
! [A] :
( ~ ordinal(A)
| connected(inclusion_relation(A)) ),
inference(fof_nnf,status(thm),[t4_wellord2]) ).
fof(c12,axiom,
! [X5] :
( ~ ordinal(X5)
| connected(inclusion_relation(X5)) ),
inference(variable_rename,status(thm),[c11]) ).
cnf(c13,axiom,
( ~ ordinal(X20)
| connected(inclusion_relation(X20)) ),
inference(split_conjunct,status(thm),[c12]) ).
cnf(c48,plain,
connected(inclusion_relation(skolem0001)),
inference(resolution,status(thm),[c13,c4]) ).
fof(t6_wellord2,axiom,
! [A] :
( ordinal(A)
=> well_founded_relation(inclusion_relation(A)) ),
input ).
fof(c6,axiom,
! [A] :
( ~ ordinal(A)
| well_founded_relation(inclusion_relation(A)) ),
inference(fof_nnf,status(thm),[t6_wellord2]) ).
fof(c7,axiom,
! [X3] :
( ~ ordinal(X3)
| well_founded_relation(inclusion_relation(X3)) ),
inference(variable_rename,status(thm),[c6]) ).
cnf(c8,axiom,
( ~ ordinal(X18)
| well_founded_relation(inclusion_relation(X18)) ),
inference(split_conjunct,status(thm),[c7]) ).
cnf(c44,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) ) ) ),
input ).
fof(c25,axiom,
! [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,axiom,
! [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,axiom,
! [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,axiom,
( ~ relation(X27)
| ~ reflexive(X27)
| ~ transitive(X27)
| ~ antisymmetric(X27)
| ~ connected(X27)
| ~ well_founded_relation(X27)
| well_ordering(X27) ),
inference(split_conjunct,status(thm),[c27]) ).
cnf(c52,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,c44]) ).
cnf(c54,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),[c52,c48]) ).
cnf(c55,plain,
( ~ relation(inclusion_relation(skolem0001))
| ~ reflexive(inclusion_relation(skolem0001))
| ~ transitive(inclusion_relation(skolem0001))
| well_ordering(inclusion_relation(skolem0001)) ),
inference(resolution,status(thm),[c54,c10]) ).
cnf(c56,plain,
( ~ relation(inclusion_relation(skolem0001))
| ~ reflexive(inclusion_relation(skolem0001))
| well_ordering(inclusion_relation(skolem0001)) ),
inference(resolution,status(thm),[c55,c15]) ).
cnf(c57,plain,
( ~ relation(inclusion_relation(skolem0001))
| well_ordering(inclusion_relation(skolem0001)) ),
inference(resolution,status(thm),[c56,c17]) ).
cnf(c58,plain,
well_ordering(inclusion_relation(skolem0001)),
inference(resolution,status(thm),[c57,c24]) ).
cnf(c62,plain,
$false,
inference(resolution,status(thm),[c58,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n029.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 : 600
% 0.13/0.34 % DateTime : Sun Jun 19 03:19:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.56 # Version: 1.3
% 0.19/0.56 # SZS status Theorem
% 0.19/0.56 # SZS output start CNFRefutation
% See solution above
% 0.19/0.56
% 0.19/0.56 # Initial clauses : 20
% 0.19/0.56 # Processed clauses : 33
% 0.19/0.56 # Factors computed : 0
% 0.19/0.56 # Resolvents computed: 24
% 0.19/0.56 # Tautologies deleted: 0
% 0.19/0.56 # Forward subsumed : 4
% 0.19/0.56 # Backward subsumed : 5
% 0.19/0.56 # -------- CPU Time ---------
% 0.19/0.56 # User time : 0.204 s
% 0.19/0.56 # System time : 0.021 s
% 0.19/0.56 # Total time : 0.225 s
%------------------------------------------------------------------------------