TSTP Solution File: SET148+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET148+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 04:36:09 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(prove_idempotency_of_intersection,conjecture,
! [B] : intersection(B,B) = B,
input ).
fof(c3,negated_conjecture,
~ ! [B] : intersection(B,B) = B,
inference(assume_negation,status(cth),[prove_idempotency_of_intersection]) ).
fof(c4,negated_conjecture,
? [B] : intersection(B,B) != B,
inference(fof_nnf,status(thm),[c3]) ).
fof(c5,negated_conjecture,
? [X2] : intersection(X2,X2) != X2,
inference(variable_rename,status(thm),[c4]) ).
fof(c6,negated_conjecture,
intersection(skolem0001,skolem0001) != skolem0001,
inference(skolemize,status(esa),[c5]) ).
cnf(c7,negated_conjecture,
intersection(skolem0001,skolem0001) != skolem0001,
inference(split_conjunct,status(thm),[c6]) ).
fof(reflexivity_of_subset,axiom,
! [B] : subset(B,B),
input ).
fof(c18,axiom,
! [X10] : subset(X10,X10),
inference(variable_rename,status(thm),[reflexivity_of_subset]) ).
cnf(c19,axiom,
subset(X32,X32),
inference(split_conjunct,status(thm),[c18]) ).
fof(subset_intersection,axiom,
! [B,C] :
( subset(B,C)
=> intersection(B,C) = B ),
input ).
fof(c47,axiom,
! [B,C] :
( ~ subset(B,C)
| intersection(B,C) = B ),
inference(fof_nnf,status(thm),[subset_intersection]) ).
fof(c48,axiom,
! [X29,X30] :
( ~ subset(X29,X30)
| intersection(X29,X30) = X29 ),
inference(variable_rename,status(thm),[c47]) ).
cnf(c49,axiom,
( ~ subset(X74,X75)
| intersection(X74,X75) = X74 ),
inference(split_conjunct,status(thm),[c48]) ).
cnf(c67,plain,
intersection(X80,X80) = X80,
inference(resolution,status(thm),[c49,c19]) ).
cnf(c74,plain,
$false,
inference(resolution,status(thm),[c67,c7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET148+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n019.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 : Sat Jul 9 22:16:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.53 # Version: 1.3
% 0.19/0.53 # SZS status Theorem
% 0.19/0.53 # SZS output start CNFRefutation
% See solution above
% 0.19/0.53
% 0.19/0.53 # Initial clauses : 23
% 0.19/0.53 # Processed clauses : 18
% 0.19/0.53 # Factors computed : 0
% 0.19/0.53 # Resolvents computed: 26
% 0.19/0.53 # Tautologies deleted: 1
% 0.19/0.53 # Forward subsumed : 6
% 0.19/0.53 # Backward subsumed : 0
% 0.19/0.53 # -------- CPU Time ---------
% 0.19/0.53 # User time : 0.177 s
% 0.19/0.53 # System time : 0.015 s
% 0.19/0.53 # Total time : 0.192 s
%------------------------------------------------------------------------------