TSTP Solution File: LCL356-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL356-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n004.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 13:53:58 EDT 2022

% Result   : Unsatisfiable 44.29s 44.50s
% Output   : Refutation 44.29s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_05,negated_conjecture,
    ~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))),
    input ).

cnf(cn_1,axiom,
    is_a_theorem(implies(implies(X12,X10),implies(implies(X10,X11),implies(X12,X11)))),
    input ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X6,X5))
    | ~ is_a_theorem(X6)
    | is_a_theorem(X5) ),
    input ).

cnf(c4,plain,
    ( ~ is_a_theorem(implies(X28,X27))
    | is_a_theorem(implies(implies(X27,X26),implies(X28,X26))) ),
    inference(resolution,status(thm),[cn_1,condensed_detachment]) ).

cnf(c16,plain,
    is_a_theorem(implies(implies(implies(implies(X111,X110),implies(X113,X110)),X112),implies(implies(X113,X111),X112))),
    inference(resolution,status(thm),[c4,cn_1]) ).

cnf(c115,plain,
    ( ~ is_a_theorem(implies(implies(implies(X1435,X1432),implies(X1433,X1432)),X1434))
    | is_a_theorem(implies(implies(X1433,X1435),X1434)) ),
    inference(resolution,status(thm),[c16,condensed_detachment]) ).

cnf(c1153,plain,
    is_a_theorem(implies(implies(X14872,implies(X14870,X14869)),implies(implies(X14871,X14870),implies(X14872,implies(X14871,X14869))))),
    inference(resolution,status(thm),[c115,c16]) ).

cnf(c33545,plain,
    $false,
    inference(resolution,status(thm),[c1153,prove_cn_05]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL356-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul  4 01:00:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 44.29/44.50  # Version:  1.3
% 44.29/44.50  # SZS status Unsatisfiable
% 44.29/44.50  # SZS output start CNFRefutation
% See solution above
% 44.29/44.50  
% 44.29/44.50  # Initial clauses    : 5
% 44.29/44.50  # Processed clauses  : 817
% 44.29/44.50  # Factors computed   : 0
% 44.29/44.50  # Resolvents computed: 33558
% 44.29/44.50  # Tautologies deleted: 1
% 44.29/44.50  # Forward subsumed   : 3808
% 44.29/44.50  # Backward subsumed  : 50
% 44.29/44.50  # -------- CPU Time ---------
% 44.29/44.50  # User time          : 44.045 s
% 44.29/44.50  # System time        : 0.067 s
% 44.29/44.50  # Total time         : 44.112 s
%------------------------------------------------------------------------------