TSTP Solution File: SEU247+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU247+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 13:36:48 EDT 2022
% Result : Theorem 53.32s 53.57s
% Output : Refutation 53.32s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(t18_wellord1,conjecture,
! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_rng_restriction(A,relation_dom_restriction(B,A)) ),
input ).
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 ),
eq_axiom ).
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)) ),
input ).
fof(c15,axiom,
! [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,axiom,
! [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,axiom,
( ~ relation(X122)
| relation_dom_restriction(relation_rng_restriction(X123,X122),X124) = relation_rng_restriction(X123,relation_dom_restriction(X122,X124)) ),
inference(split_conjunct,status(thm),[c16]) ).
cnf(c208,plain,
relation_dom_restriction(relation_rng_restriction(X1212,skolem0002),X1213) = relation_rng_restriction(X1212,relation_dom_restriction(skolem0002,X1213)),
inference(resolution,status(thm),[c17,c10]) ).
cnf(c4877,plain,
relation_rng_restriction(X4097,relation_dom_restriction(skolem0002,X4098)) = relation_dom_restriction(relation_rng_restriction(X4097,skolem0002),X4098),
inference(resolution,status(thm),[c208,symmetry]) ).
cnf(transitivity,axiom,
( X32 != X30
| X30 != X31
| X32 = X31 ),
eq_axiom ).
fof(t17_wellord1,axiom,
! [A,B] :
( relation(B)
=> relation_restriction(B,A) = relation_dom_restriction(relation_rng_restriction(A,B),A) ),
input ).
fof(c12,axiom,
! [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,axiom,
! [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,axiom,
( ~ relation(X106)
| relation_restriction(X106,X105) = relation_dom_restriction(relation_rng_restriction(X105,X106),X105) ),
inference(split_conjunct,status(thm),[c13]) ).
cnf(c162,plain,
relation_restriction(skolem0002,X488) = relation_dom_restriction(relation_rng_restriction(X488,skolem0002),X488),
inference(resolution,status(thm),[c14,c10]) ).
cnf(c1780,plain,
relation_dom_restriction(relation_rng_restriction(X773,skolem0002),X773) = relation_restriction(skolem0002,X773),
inference(resolution,status(thm),[c162,symmetry]) ).
cnf(c2882,plain,
( X7860 != relation_dom_restriction(relation_rng_restriction(X7861,skolem0002),X7861)
| X7860 = relation_restriction(skolem0002,X7861) ),
inference(resolution,status(thm),[c1780,transitivity]) ).
cnf(c94767,plain,
relation_rng_restriction(X7864,relation_dom_restriction(skolem0002,X7864)) = relation_restriction(skolem0002,X7864),
inference(resolution,status(thm),[c2882,c4877]) ).
cnf(c94876,plain,
relation_restriction(skolem0002,X7871) = relation_rng_restriction(X7871,relation_dom_restriction(skolem0002,X7871)),
inference(resolution,status(thm),[c94767,symmetry]) ).
cnf(c95092,plain,
$false,
inference(resolution,status(thm),[c94876,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU247+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 18:27:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 53.32/53.57 # Version: 1.3
% 53.32/53.57 # SZS status Theorem
% 53.32/53.57 # SZS output start CNFRefutation
% See solution above
% 53.32/53.57
% 53.32/53.57 # Initial clauses : 21
% 53.32/53.57 # Processed clauses : 1341
% 53.32/53.57 # Factors computed : 0
% 53.32/53.57 # Resolvents computed: 95115
% 53.32/53.57 # Tautologies deleted: 2
% 53.32/53.57 # Forward subsumed : 2111
% 53.32/53.57 # Backward subsumed : 5
% 53.32/53.57 # -------- CPU Time ---------
% 53.32/53.57 # User time : 53.020 s
% 53.32/53.57 # System time : 0.202 s
% 53.32/53.57 # Total time : 53.222 s
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