TSTP Solution File: LCL106-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL106-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sun Jul 17 13:52:04 EDT 2022
% Result : Unsatisfiable 0.38s 0.56s
% Output : Refutation 0.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_q_2,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
input ).
cnf(q_4,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X7,X9),equivalent(X7,X8)),equivalent(X9,X8))),
input ).
cnf(c1,plain,
( ~ is_a_theorem(equivalent(equivalent(X14,X15),equivalent(X14,X13)))
| is_a_theorem(equivalent(X15,X13)) ),
inference(resolution,status(thm),[q_4,condensed_detachment]) ).
cnf(q_1,axiom,
is_a_theorem(equivalent(X4,equivalent(equivalent(X6,X5),equivalent(equivalent(X5,X6),X4)))),
input ).
cnf(c0,plain,
( ~ is_a_theorem(X11)
| is_a_theorem(equivalent(equivalent(X12,X10),equivalent(equivalent(X10,X12),X11))) ),
inference(resolution,status(thm),[q_1,condensed_detachment]) ).
cnf(c2,plain,
is_a_theorem(equivalent(equivalent(X20,X23),equivalent(equivalent(X23,X20),equivalent(X19,equivalent(equivalent(X21,X22),equivalent(equivalent(X22,X21),X19)))))),
inference(resolution,status(thm),[c0,q_1]) ).
cnf(c5,plain,
( ~ is_a_theorem(equivalent(X30,X29))
| is_a_theorem(equivalent(equivalent(X29,X30),equivalent(X31,equivalent(equivalent(X33,X32),equivalent(equivalent(X32,X33),X31))))) ),
inference(resolution,status(thm),[c2,condensed_detachment]) ).
cnf(c11,plain,
is_a_theorem(equivalent(equivalent(equivalent(X88,X86),equivalent(equivalent(X85,X88),equivalent(X85,X86))),equivalent(X89,equivalent(equivalent(X87,X84),equivalent(equivalent(X84,X87),X89))))),
inference(resolution,status(thm),[c5,q_4]) ).
cnf(c62,plain,
is_a_theorem(equivalent(equivalent(equivalent(X90,X94),equivalent(X90,X92)),equivalent(equivalent(X91,X93),equivalent(equivalent(X93,X91),equivalent(X94,X92))))),
inference(resolution,status(thm),[c11,c1]) ).
cnf(c69,plain,
is_a_theorem(equivalent(equivalent(X97,X95),equivalent(equivalent(X96,X97),equivalent(X96,X95)))),
inference(resolution,status(thm),[c62,c1]) ).
cnf(c75,plain,
$false,
inference(resolution,status(thm),[c69,prove_q_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL106-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n015.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 : 600
% 0.13/0.34 % DateTime : Mon Jul 4 06:37:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.38/0.56 # Version: 1.3
% 0.38/0.56 # SZS status Unsatisfiable
% 0.38/0.56 # SZS output start CNFRefutation
% See solution above
% 0.38/0.56
% 0.38/0.56 # Initial clauses : 4
% 0.38/0.56 # Processed clauses : 20
% 0.38/0.56 # Factors computed : 0
% 0.38/0.56 # Resolvents computed: 79
% 0.38/0.56 # Tautologies deleted: 0
% 0.38/0.56 # Forward subsumed : 2
% 0.38/0.56 # Backward subsumed : 0
% 0.38/0.56 # -------- CPU Time ---------
% 0.38/0.56 # User time : 0.201 s
% 0.38/0.56 # System time : 0.014 s
% 0.38/0.56 # Total time : 0.215 s
%------------------------------------------------------------------------------