TSTP Solution File: LCL041-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL041-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n026.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 13:51:37 EDT 2022

% Result   : Unsatisfiable 10.94s 11.13s
% Output   : Refutation 10.94s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_30,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
    input ).

cnf(cn_3,axiom,
    is_a_theorem(implies(X4,implies(not(X4),X5))),
    input ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X6,X7))
    | ~ is_a_theorem(X6)
    | is_a_theorem(X7) ),
    input ).

cnf(cn_21,axiom,
    is_a_theorem(implies(implies(X12,implies(X14,X13)),implies(X14,implies(X12,X13)))),
    input ).

cnf(c6,plain,
    ( ~ is_a_theorem(implies(X84,implies(X85,X86)))
    | is_a_theorem(implies(X85,implies(X84,X86))) ),
    inference(resolution,status(thm),[cn_21,condensed_detachment]) ).

cnf(c65,plain,
    is_a_theorem(implies(not(X106),implies(X106,X105))),
    inference(resolution,status(thm),[c6,cn_3]) ).

cnf(cn_54,axiom,
    is_a_theorem(implies(implies(X50,X51),implies(implies(not(X50),X51),X51))),
    input ).

cnf(c76,plain,
    is_a_theorem(implies(implies(not(X743),X742),implies(implies(X743,X742),X742))),
    inference(resolution,status(thm),[c6,cn_54]) ).

cnf(c1020,plain,
    ( ~ is_a_theorem(implies(not(X5891),X5890))
    | is_a_theorem(implies(implies(X5891,X5890),X5890)) ),
    inference(resolution,status(thm),[c76,condensed_detachment]) ).

cnf(c15525,plain,
    is_a_theorem(implies(implies(X5905,implies(X5905,X5906)),implies(X5905,X5906))),
    inference(resolution,status(thm),[c1020,c65]) ).

cnf(c15606,plain,
    $false,
    inference(resolution,status(thm),[c15525,prove_cn_30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL041-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n026.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  : 600
% 0.12/0.34  % DateTime : Sat Jul  2 19:13:05 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 10.94/11.13  # Version:  1.3
% 10.94/11.13  # SZS status Unsatisfiable
% 10.94/11.13  # SZS output start CNFRefutation
% See solution above
% 10.94/11.13  
% 10.94/11.13  # Initial clauses    : 7
% 10.94/11.13  # Processed clauses  : 452
% 10.94/11.13  # Factors computed   : 0
% 10.94/11.13  # Resolvents computed: 15631
% 10.94/11.13  # Tautologies deleted: 1
% 10.94/11.13  # Forward subsumed   : 1807
% 10.94/11.13  # Backward subsumed  : 1
% 10.94/11.13  # -------- CPU Time ---------
% 10.94/11.13  # User time          : 10.743 s
% 10.94/11.13  # System time        : 0.039 s
% 10.94/11.13  # Total time         : 10.782 s
%------------------------------------------------------------------------------