%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN636-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.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 09:04:29 EDT 2022

% Result   : Unsatisfiable 0.80s 0.99s
% Output   : CNFRefutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (   7 unt;   7 nHn;  17 RR)
%            Number of literals    :   39 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :   24 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_p3_7,negated_conjecture,
    ~ p3(c23,f8(c24)) ).

cnf(p3_8,negated_conjecture,
    p3(f4(f6(X80,f7(X81,X82))),X81) ).

cnf(p3_17,negated_conjecture,
    ( p3(X76,X77)
    | ~ p3(X75,X76)
    | ~ p3(X75,X77) ) ).

cnf(not_p10_25,negated_conjecture,
    ~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ).

cnf(p21_27,negated_conjecture,
    ( p21(f12(f13(c28,c29)),f12(f13(c28,X69)))
    | ~ p22(X69,f15(f6(c25,f7(c23,c26)))) ) ).

cnf(p3_34,negated_conjecture,
    ( p3(f4(X18),f8(c24))
    | p22(f20(X18,X19,X20),f15(X18))
    | p10(f11(X18,c27,X19),f11(X18,c27,X20)) ) ).

cnf(p3_37,negated_conjecture,
    ( p3(f4(X18),f8(c24))
    | p10(f11(X18,c27,X19),f11(X18,c27,X20))
    | ~ p21(f12(f13(X19,X20)),f12(f13(X19,f20(X18,X19,X20)))) ) ).

cnf(refute_0_0,plain,
    p3(f4(f6(X80,f7(X_73,X82))),X_73),
    inference(subst,[],[p3_8:[bind(X81,$fot(X_73))]]) ).

cnf(refute_0_1,plain,
    ( ~ p3(f4(f6(X80,f7(X_73,X82))),X_73)
    | ~ p3(f4(f6(X80,f7(X_73,X82))),X_74)
    | p3(X_73,X_74) ),
    inference(subst,[],[p3_17:[bind(X75,$fot(f4(f6(X80,f7(X_73,X82))))),bind(X76,$fot(X_73)),bind(X77,$fot(X_74))]]) ).

cnf(refute_0_2,plain,
    ( ~ p3(f4(f6(X80,f7(X_73,X82))),X_74)
    | p3(X_73,X_74) ),
    inference(resolve,[$cnf( p3(f4(f6(X80,f7(X_73,X82))),X_73) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ p3(f4(f6(c25,f7(c23,c26))),f8(c24))
    | p3(c23,f8(c24)) ),
    inference(subst,[],[refute_0_2:[bind(X80,$fot(c25)),bind(X82,$fot(c26)),bind(X_73,$fot(c23)),bind(X_74,$fot(f8(c24)))]]) ).

cnf(refute_0_4,plain,
    ( ~ p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26))))
    | p21(f12(f13(c28,c29)),f12(f13(c28,f20(f6(c25,f7(c23,c26)),c28,c29)))) ),
    inference(subst,[],[p21_27:[bind(X69,$fot(f20(f6(c25,f7(c23,c26)),c28,c29)))]]) ).

cnf(refute_0_5,plain,
    ( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
    | p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26))))
    | p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
    inference(subst,[],[p3_34:[bind(X18,$fot(f6(c25,f7(c23,c26)))),bind(X19,$fot(c28)),bind(X20,$fot(c29))]]) ).

cnf(refute_0_6,plain,
    ( p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26))))
    | p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
    inference(resolve,[$cnf( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) )],[refute_0_5,not_p10_25]) ).

cnf(refute_0_7,plain,
    ( p21(f12(f13(c28,c29)),f12(f13(c28,f20(f6(c25,f7(c23,c26)),c28,c29))))
    | p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
    inference(resolve,[$cnf( p22(f20(f6(c25,f7(c23,c26)),c28,c29),f15(f6(c25,f7(c23,c26)))) )],[refute_0_6,refute_0_4]) ).

cnf(refute_0_8,plain,
    ( ~ p21(f12(f13(c28,c29)),f12(f13(c28,f20(f6(c25,f7(c23,c26)),c28,c29))))
    | p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
    | p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
    inference(subst,[],[p3_37:[bind(X18,$fot(f6(c25,f7(c23,c26)))),bind(X19,$fot(c28)),bind(X20,$fot(c29))]]) ).

cnf(refute_0_9,plain,
    ( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
    | p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
    inference(resolve,[$cnf( p21(f12(f13(c28,c29)),f12(f13(c28,f20(f6(c25,f7(c23,c26)),c28,c29)))) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    p3(f4(f6(c25,f7(c23,c26))),f8(c24)),
    inference(resolve,[$cnf( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) )],[refute_0_9,not_p10_25]) ).

cnf(refute_0_11,plain,
    p3(c23,f8(c24)),
    inference(resolve,[$cnf( p3(f4(f6(c25,f7(c23,c26))),f8(c24)) )],[refute_0_10,refute_0_3]) ).

cnf(refute_0_12,plain,
    $false,
    inference(resolve,[$cnf( p3(c23,f8(c24)) )],[refute_0_11,not_p3_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN636-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n029.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 : Tue Jul 12 06:16:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.80/0.99  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.80/0.99  
% 0.80/0.99  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.80/0.99  
%------------------------------------------------------------------------------