%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET148+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 17:39:17 EDT 2024
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 19 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_idempotency_of_intersection,conjecture,
! [B] : intersection(B,B) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idempotency_of_intersection) ).
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_subset) ).
fof(c18,plain,
! [X10] : subset(X10,X10),
inference(variable_rename,[status(thm)],[reflexivity_of_subset]) ).
cnf(c19,plain,
subset(X32,X32),
inference(split_conjunct,[status(thm)],[c18]) ).
fof(subset_intersection,axiom,
! [B,C] :
( subset(B,C)
=> intersection(B,C) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_intersection) ).
fof(c47,plain,
! [B,C] :
( ~ subset(B,C)
| intersection(B,C) = B ),
inference(fof_nnf,[status(thm)],[subset_intersection]) ).
fof(c48,plain,
! [X29,X30] :
( ~ subset(X29,X30)
| intersection(X29,X30) = X29 ),
inference(variable_rename,[status(thm)],[c47]) ).
cnf(c49,plain,
( ~ subset(X80,X79)
| intersection(X80,X79) = X80 ),
inference(split_conjunct,[status(thm)],[c48]) ).
cnf(c69,plain,
intersection(X81,X81) = X81,
inference(resolution,[status(thm)],[c49,c19]) ).
cnf(c77,plain,
$false,
inference(resolution,[status(thm)],[c69,c7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET148+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n024.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 18:26:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.54 % Version: 1.5
% 0.20/0.54 % SZS status Theorem
% 0.20/0.54 % SZS output start CNFRefutation
% See solution above
% 0.20/0.54
% 0.20/0.54 % Initial clauses : 23
% 0.20/0.54 % Processed clauses : 18
% 0.20/0.54 % Factors computed : 2
% 0.20/0.54 % Resolvents computed: 26
% 0.20/0.54 % Tautologies deleted: 2
% 0.20/0.54 % Forward subsumed : 6
% 0.20/0.54 % Backward subsumed : 0
% 0.20/0.54 % -------- CPU Time ---------
% 0.20/0.54 % User time : 0.167 s
% 0.20/0.54 % System time : 0.023 s
% 0.20/0.54 % Total time : 0.191 s
%------------------------------------------------------------------------------