TSTP Solution File: SYN571-1 by Metis---2.4

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN571-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %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 : Thu Jul 21 09:04:05 EDT 2022

% Result   : Unsatisfiable 215.00s 215.15s
% Output   : CNFRefutation 215.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   30 (  16 unt;   0 nHn;  18 RR)
%            Number of literals    :   52 (   0 equ;  24 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   53 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_2,negated_conjecture,
    p2(X11,X11) ).

cnf(p11_3,negated_conjecture,
    p11(f5(X10),c14) ).

cnf(not_p11_6,negated_conjecture,
    ~ p11(X39,f3(X39,f5(f6(f7(c12))))) ).

cnf(p11_7,negated_conjecture,
    ( p11(c14,X9)
    | ~ p11(f5(f10(X9)),X9) ) ).

cnf(p2_12,negated_conjecture,
    ( p2(X12,X13)
    | ~ p2(X11,X12)
    | ~ p2(X11,X13) ) ).

cnf(p2_14,negated_conjecture,
    p2(f9(f5(X24),f5(X25)),f5(f8(X24,X25))) ).

cnf(p11_15,negated_conjecture,
    ( p11(X6,f3(X7,X8))
    | ~ p11(f9(X6,X8),X7) ) ).

cnf(p11_17,negated_conjecture,
    ( p11(X0,X1)
    | ~ p2(X2,X0)
    | ~ p2(X3,X1)
    | ~ p11(X2,X3) ) ).

cnf(refute_0_0,plain,
    ~ p11(c14,f3(c14,f5(f6(f7(c12))))),
    inference(subst,[],[not_p11_6:[bind(X39,$fot(c14))]]) ).

cnf(refute_0_1,plain,
    ( ~ p11(f5(f10(f3(c14,f5(X_135594)))),f3(c14,f5(X_135594)))
    | p11(c14,f3(c14,f5(X_135594))) ),
    inference(subst,[],[p11_7:[bind(X9,$fot(f3(c14,f5(X_135594))))]]) ).

cnf(refute_0_2,plain,
    ( ~ p11(f9(f5(X_135591),f5(X_135592)),c14)
    | p11(f5(X_135591),f3(c14,f5(X_135592))) ),
    inference(subst,[],[p11_15:[bind(X6,$fot(f5(X_135591))),bind(X7,$fot(c14)),bind(X8,$fot(f5(X_135592)))]]) ).

cnf(refute_0_3,plain,
    p11(f5(f8(X_135588,X_135589)),c14),
    inference(subst,[],[p11_3:[bind(X10,$fot(f8(X_135588,X_135589)))]]) ).

cnf(refute_0_4,plain,
    p2(X_153,X_153),
    inference(subst,[],[p2_2:[bind(X11,$fot(X_153))]]) ).

cnf(refute_0_5,plain,
    ( ~ p2(X_153,X_152)
    | ~ p2(X_153,X_153)
    | p2(X_152,X_153) ),
    inference(subst,[],[p2_12:[bind(X11,$fot(X_153)),bind(X12,$fot(X_152)),bind(X13,$fot(X_153))]]) ).

cnf(refute_0_6,plain,
    ( ~ p2(X_153,X_152)
    | p2(X_152,X_153) ),
    inference(resolve,[$cnf( p2(X_153,X_153) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ p2(f9(f5(X24),f5(X25)),f5(f8(X24,X25)))
    | p2(f5(f8(X24,X25)),f9(f5(X24),f5(X25))) ),
    inference(subst,[],[refute_0_6:[bind(X_152,$fot(f5(f8(X24,X25)))),bind(X_153,$fot(f9(f5(X24),f5(X25))))]]) ).

cnf(refute_0_8,plain,
    p2(f5(f8(X24,X25)),f9(f5(X24),f5(X25))),
    inference(resolve,[$cnf( p2(f9(f5(X24),f5(X25)),f5(f8(X24,X25))) )],[p2_14,refute_0_7]) ).

cnf(refute_0_9,plain,
    p2(X_2074,X_2074),
    inference(subst,[],[p2_2:[bind(X11,$fot(X_2074))]]) ).

cnf(refute_0_10,plain,
    ( ~ p11(X_2075,X_2074)
    | ~ p2(X_2074,X_2074)
    | ~ p2(X_2075,X_2073)
    | p11(X_2073,X_2074) ),
    inference(subst,[],[p11_17:[bind(X0,$fot(X_2073)),bind(X1,$fot(X_2074)),bind(X2,$fot(X_2075)),bind(X3,$fot(X_2074))]]) ).

cnf(refute_0_11,plain,
    ( ~ p11(X_2075,X_2074)
    | ~ p2(X_2075,X_2073)
    | p11(X_2073,X_2074) ),
    inference(resolve,[$cnf( p2(X_2074,X_2074) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ p11(f5(f8(X24,X25)),X_6713)
    | ~ p2(f5(f8(X24,X25)),f9(f5(X24),f5(X25)))
    | p11(f9(f5(X24),f5(X25)),X_6713) ),
    inference(subst,[],[refute_0_11:[bind(X_2073,$fot(f9(f5(X24),f5(X25)))),bind(X_2074,$fot(X_6713)),bind(X_2075,$fot(f5(f8(X24,X25))))]]) ).

cnf(refute_0_13,plain,
    ( ~ p11(f5(f8(X24,X25)),X_6713)
    | p11(f9(f5(X24),f5(X25)),X_6713) ),
    inference(resolve,[$cnf( p2(f5(f8(X24,X25)),f9(f5(X24),f5(X25))) )],[refute_0_8,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( ~ p11(f5(f8(X_135588,X_135589)),c14)
    | p11(f9(f5(X_135588),f5(X_135589)),c14) ),
    inference(subst,[],[refute_0_13:[bind(X24,$fot(X_135588)),bind(X25,$fot(X_135589)),bind(X_6713,$fot(c14))]]) ).

cnf(refute_0_15,plain,
    p11(f9(f5(X_135588),f5(X_135589)),c14),
    inference(resolve,[$cnf( p11(f5(f8(X_135588,X_135589)),c14) )],[refute_0_3,refute_0_14]) ).

cnf(refute_0_16,plain,
    p11(f9(f5(X_135591),f5(X_135592)),c14),
    inference(subst,[],[refute_0_15:[bind(X_135588,$fot(X_135591)),bind(X_135589,$fot(X_135592))]]) ).

cnf(refute_0_17,plain,
    p11(f5(X_135591),f3(c14,f5(X_135592))),
    inference(resolve,[$cnf( p11(f9(f5(X_135591),f5(X_135592)),c14) )],[refute_0_16,refute_0_2]) ).

cnf(refute_0_18,plain,
    p11(f5(f10(f3(c14,f5(X_135594)))),f3(c14,f5(X_135594))),
    inference(subst,[],[refute_0_17:[bind(X_135591,$fot(f10(f3(c14,f5(X_135594))))),bind(X_135592,$fot(X_135594))]]) ).

cnf(refute_0_19,plain,
    p11(c14,f3(c14,f5(X_135594))),
    inference(resolve,[$cnf( p11(f5(f10(f3(c14,f5(X_135594)))),f3(c14,f5(X_135594))) )],[refute_0_18,refute_0_1]) ).

cnf(refute_0_20,plain,
    p11(c14,f3(c14,f5(f6(f7(c12))))),
    inference(subst,[],[refute_0_19:[bind(X_135594,$fot(f6(f7(c12))))]]) ).

cnf(refute_0_21,plain,
    $false,
    inference(resolve,[$cnf( p11(c14,f3(c14,f5(f6(f7(c12))))) )],[refute_0_20,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN571-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n005.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 11 23:31:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 215.00/215.15  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 215.00/215.15  
% 215.00/215.15  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 215.00/215.15  
%------------------------------------------------------------------------------