TSTP Solution File: LCL361-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL361-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 : Sun Jul 17 13:53:59 EDT 2022
% Result : Unsatisfiable 1.98s 2.20s
% Output : Refutation 1.98s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_10,negated_conjecture,
~ is_a_theorem(implies(x,implies(implies(implies(not(x),x),x),implies(implies(y,x),x)))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X6,X5))
| ~ is_a_theorem(X6)
| is_a_theorem(X5) ),
input ).
cnf(cn_3,axiom,
is_a_theorem(implies(X4,implies(not(X4),X3))),
input ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X12,X11),implies(implies(X11,X10),implies(X12,X10)))),
input ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X26,X27))
| is_a_theorem(implies(implies(X27,X28),implies(X26,X28))) ),
inference(resolution,status(thm),[cn_1,condensed_detachment]) ).
cnf(c14,plain,
is_a_theorem(implies(implies(implies(not(X32),X33),X31),implies(X32,X31))),
inference(resolution,status(thm),[c4,cn_3]) ).
cnf(c21,plain,
( ~ is_a_theorem(implies(implies(not(X50),X49),X51))
| is_a_theorem(implies(X50,X51)) ),
inference(resolution,status(thm),[c14,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(implies(X112,X113),implies(X111,X113)),X110),implies(implies(X111,X112),X110))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c116,plain,
( ~ is_a_theorem(implies(implies(implies(X1455,X1457),implies(X1458,X1457)),X1456))
| is_a_theorem(implies(implies(X1458,X1455),X1456)) ),
inference(resolution,status(thm),[c16,condensed_detachment]) ).
cnf(c0,plain,
( ~ is_a_theorem(X7)
| is_a_theorem(implies(not(X7),X8)) ),
inference(resolution,status(thm),[condensed_detachment,cn_3]) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
input ).
cnf(c43,plain,
is_a_theorem(implies(X56,X56)),
inference(resolution,status(thm),[c21,cn_2]) ).
cnf(c57,plain,
is_a_theorem(implies(not(implies(X66,X66)),X67)),
inference(resolution,status(thm),[c43,c0]) ).
cnf(c65,plain,
is_a_theorem(implies(implies(X114,X115),implies(not(implies(X116,X116)),X115))),
inference(resolution,status(thm),[c57,c4]) ).
cnf(c120,plain,
is_a_theorem(implies(X117,implies(not(implies(X118,X118)),X119))),
inference(resolution,status(thm),[c65,c21]) ).
cnf(c127,plain,
is_a_theorem(implies(implies(implies(not(implies(X218,X218)),X219),X216),implies(X217,X216))),
inference(resolution,status(thm),[c120,c4]) ).
cnf(c253,plain,
( ~ is_a_theorem(implies(implies(not(implies(X221,X221)),X220),X222))
| is_a_theorem(implies(X223,X222)) ),
inference(resolution,status(thm),[c127,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(X30,X29),implies(implies(not(X30),X30),X29))),
inference(resolution,status(thm),[c4,cn_2]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(X34,X35))
| is_a_theorem(implies(implies(not(X34),X34),X35)) ),
inference(resolution,status(thm),[c13,condensed_detachment]) ).
cnf(c24,plain,
is_a_theorem(implies(implies(not(implies(X224,X225)),implies(X224,X225)),implies(implies(not(X224),X224),X225))),
inference(resolution,status(thm),[c18,c13]) ).
cnf(c273,plain,
is_a_theorem(implies(X250,implies(implies(not(X251),X251),X251))),
inference(resolution,status(thm),[c24,c253]) ).
cnf(c307,plain,
is_a_theorem(implies(implies(implies(implies(not(X856),X856),X856),X854),implies(X855,X854))),
inference(resolution,status(thm),[c273,c4]) ).
cnf(c1213,plain,
is_a_theorem(implies(implies(X2192,implies(not(X2191),X2191)),implies(X2193,implies(X2192,X2191)))),
inference(resolution,status(thm),[c116,c307]) ).
cnf(c2275,plain,
is_a_theorem(implies(implies(not(X2516),X2515),implies(X2517,implies(implies(X2515,X2516),X2516)))),
inference(resolution,status(thm),[c1213,c116]) ).
cnf(c2800,plain,
is_a_theorem(implies(X2519,implies(X2518,implies(implies(X2520,X2519),X2519)))),
inference(resolution,status(thm),[c2275,c21]) ).
cnf(c2820,plain,
$false,
inference(resolution,status(thm),[c2800,prove_cn_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL361-1 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 3 19:12:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.98/2.20 # Version: 1.3
% 1.98/2.20 # SZS status Unsatisfiable
% 1.98/2.20 # SZS output start CNFRefutation
% See solution above
% 1.98/2.20
% 1.98/2.20 # Initial clauses : 5
% 1.98/2.20 # Processed clauses : 205
% 1.98/2.20 # Factors computed : 0
% 1.98/2.20 # Resolvents computed: 2832
% 1.98/2.20 # Tautologies deleted: 1
% 1.98/2.20 # Forward subsumed : 529
% 1.98/2.20 # Backward subsumed : 11
% 1.98/2.20 # -------- CPU Time ---------
% 1.98/2.20 # User time : 1.849 s
% 1.98/2.20 # System time : 0.018 s
% 1.98/2.20 # Total time : 1.867 s
%------------------------------------------------------------------------------