TSTP Solution File: LCL077-2 by PyRes---1.5
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%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL077-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 17:30:27 EDT 2024
% Result : Unsatisfiable 1.09s 1.25s
% Output : Refutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 15 unt; 0 nHn; 9 RR)
% Number of literals : 33 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 45 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_39,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_39) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X4))
| ~ is_a_theorem(X5)
| is_a_theorem(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X3,implies(X2,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).
cnf(c0,plain,
( ~ is_a_theorem(X6)
| is_a_theorem(implies(X7,X6)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_18]) ).
cnf(c1,plain,
is_a_theorem(implies(X10,implies(X8,implies(X9,X8)))),
inference(resolution,[status(thm)],[c0,cn_18]) ).
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X13,implies(X11,X12)),implies(implies(X13,X11),implies(X13,X12)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X48,implies(X46,X47)))
| is_a_theorem(implies(implies(X48,X46),implies(X48,X47))) ),
inference(resolution,[status(thm)],[cn_35,condensed_detachment]) ).
cnf(c34,plain,
is_a_theorem(implies(implies(X49,X50),implies(X49,X49))),
inference(resolution,[status(thm)],[c4,cn_18]) ).
cnf(c37,plain,
( ~ is_a_theorem(implies(X51,X52))
| is_a_theorem(implies(X51,X51)) ),
inference(resolution,[status(thm)],[c34,condensed_detachment]) ).
cnf(c43,plain,
is_a_theorem(implies(X53,X53)),
inference(resolution,[status(thm)],[c37,c1]) ).
cnf(c52,plain,
is_a_theorem(implies(X64,implies(X63,X63))),
inference(resolution,[status(thm)],[c43,c0]) ).
cnf(c54,plain,
is_a_theorem(implies(implies(implies(X506,X507),X506),implies(implies(X506,X507),X507))),
inference(resolution,[status(thm)],[c43,c4]) ).
cnf(c565,plain,
( ~ is_a_theorem(implies(implies(X947,X946),X947))
| is_a_theorem(implies(implies(X947,X946),X946)) ),
inference(resolution,[status(thm)],[c54,condensed_detachment]) ).
cnf(c841,plain,
is_a_theorem(implies(implies(implies(X948,X948),X949),X949)),
inference(resolution,[status(thm)],[c565,c52]) ).
cnf(c852,plain,
( ~ is_a_theorem(implies(implies(X950,X950),X951))
| is_a_theorem(X951) ),
inference(resolution,[status(thm)],[c841,condensed_detachment]) ).
cnf(cn_49,axiom,
is_a_theorem(implies(implies(not(X26),not(X25)),implies(X25,X26))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).
cnf(transitivity,axiom,
( ~ is_a_theorem(implies(X31,X30))
| ~ is_a_theorem(implies(X30,X29))
| is_a_theorem(implies(X31,X29)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
cnf(c12,plain,
( ~ is_a_theorem(implies(X124,implies(not(X123),not(X125))))
| is_a_theorem(implies(X124,implies(X125,X123))) ),
inference(resolution,[status(thm)],[transitivity,cn_49]) ).
cnf(c107,plain,
is_a_theorem(implies(not(X128),implies(X128,X129))),
inference(resolution,[status(thm)],[c12,cn_18]) ).
cnf(c114,plain,
is_a_theorem(implies(not(not(X133)),implies(X132,X133))),
inference(resolution,[status(thm)],[c107,c12]) ).
cnf(c120,plain,
is_a_theorem(implies(implies(not(not(X1105)),X1104),implies(not(not(X1105)),X1105))),
inference(resolution,[status(thm)],[c114,c4]) ).
cnf(c1203,plain,
is_a_theorem(implies(not(not(X1106)),X1106)),
inference(resolution,[status(thm)],[c120,c852]) ).
cnf(c1227,plain,
$false,
inference(resolution,[status(thm)],[c1203,prove_cn_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LCL077-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed May 8 15:23:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 1.09/1.25 % Version: 1.5
% 1.09/1.25 % SZS status Unsatisfiable
% 1.09/1.25 % SZS output start CNFRefutation
% See solution above
% 1.09/1.25
% 1.09/1.25 % Initial clauses : 6
% 1.09/1.25 % Processed clauses : 123
% 1.09/1.25 % Factors computed : 1
% 1.09/1.25 % Resolvents computed: 1230
% 1.09/1.25 % Tautologies deleted: 3
% 1.09/1.25 % Forward subsumed : 211
% 1.09/1.25 % Backward subsumed : 2
% 1.09/1.25 % -------- CPU Time ---------
% 1.09/1.25 % User time : 0.891 s
% 1.09/1.25 % System time : 0.016 s
% 1.09/1.25 % Total time : 0.907 s
%------------------------------------------------------------------------------