TSTP Solution File: NUM004-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUM004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n005.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 : Mon Jul 18 13:33:51 EDT 2022

% Result   : Unsatisfiable 234.70s 234.96s
% Output   : Refutation 234.70s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_equation,negated_conjecture,
    ~ equalish(subtract(add(a,b),c),add(a,subtract(b,c))),
    input ).

cnf(commutativity_of_addition,axiom,
    equalish(add(X4,X3),add(X3,X4)),
    input ).

cnf(reflexivity,axiom,
    equalish(X2,X2),
    input ).

cnf(subtract_substitution1,axiom,
    ( ~ equalish(X89,X87)
    | ~ equalish(X90,subtract(X89,X88))
    | equalish(X90,subtract(X87,X88)) ),
    input ).

cnf(c99,plain,
    ( ~ equalish(X108,X109)
    | equalish(subtract(X108,X107),subtract(X109,X107)) ),
    inference(resolution,status(thm),[subtract_substitution1,reflexivity]) ).

cnf(c141,plain,
    equalish(subtract(add(X729,X727),X728),subtract(add(X727,X729),X728)),
    inference(resolution,status(thm),[c99,commutativity_of_addition]) ).

cnf(transitivity,axiom,
    ( ~ equalish(X10,X9)
    | ~ equalish(X9,X11)
    | equalish(X10,X11) ),
    input ).

cnf(c1,plain,
    ( ~ equalish(X19,add(X18,X17))
    | equalish(X19,add(X17,X18)) ),
    inference(resolution,status(thm),[transitivity,commutativity_of_addition]) ).

cnf(commutativity2,axiom,
    equalish(subtract(add(X41,X40),X42),add(subtract(X41,X42),X40)),
    input ).

cnf(c24,plain,
    equalish(subtract(add(X203,X205),X204),add(X205,subtract(X203,X204))),
    inference(resolution,status(thm),[commutativity2,c1]) ).

cnf(c438,plain,
    ( ~ equalish(X4077,subtract(add(X4076,X4078),X4075))
    | equalish(X4077,add(X4078,subtract(X4076,X4075))) ),
    inference(resolution,status(thm),[c24,transitivity]) ).

cnf(c48392,plain,
    equalish(subtract(add(X14914,X14913),X14915),add(X14914,subtract(X14913,X14915))),
    inference(resolution,status(thm),[c438,c141]) ).

cnf(c229180,plain,
    $false,
    inference(resolution,status(thm),[c48392,prove_equation]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jul  5 22:35:07 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 234.70/234.96  # Version:  1.3
% 234.70/234.96  # SZS status Unsatisfiable
% 234.70/234.96  # SZS output start CNFRefutation
% See solution above
% 234.70/234.96  
% 234.70/234.96  # Initial clauses    : 13
% 234.70/234.96  # Processed clauses  : 1757
% 234.70/234.96  # Factors computed   : 0
% 234.70/234.96  # Resolvents computed: 229304
% 234.70/234.96  # Tautologies deleted: 1
% 234.70/234.96  # Forward subsumed   : 3374
% 234.70/234.96  # Backward subsumed  : 0
% 234.70/234.96  # -------- CPU Time ---------
% 234.70/234.96  # User time          : 234.113 s
% 234.70/234.96  # System time        : 0.450 s
% 234.70/234.96  # Total time         : 234.563 s
%------------------------------------------------------------------------------