%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN619-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n010.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 09:04:23 EDT 2022

% Result   : Unsatisfiable 0.80s 1.02s
% Output   : CNFRefutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   36 (  11 unt;  15 nHn;  34 RR)
%            Number of literals    :   75 (   0 equ;  29 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-2 aty)
%            Number of variables   :   11 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_5,negated_conjecture,
    p2(X18,X18) ).

cnf(p17_6,negated_conjecture,
    p17(X9,X9) ).

cnf(p18_7,negated_conjecture,
    p18(c24,f6(c25)) ).

cnf(not_p18_8,negated_conjecture,
    ~ p18(c24,f6(f7(c22,c23))) ).

cnf(p17_9,negated_conjecture,
    ( p17(X10,X11)
    | ~ p17(f3(X10),X11) ) ).

cnf(p18_24,negated_conjecture,
    ( p18(X12,f6(c19))
    | p2(f14(X12),c20)
    | ~ p18(X12,f6(c25)) ) ).

cnf(p18_27,negated_conjecture,
    ( p18(X12,f6(c19))
    | p17(f3(c21),f15(X12))
    | ~ p18(X12,f6(c25)) ) ).

cnf(not_p2_32,negated_conjecture,
    ( ~ p2(X59,c20)
    | ~ p17(c21,X58)
    | ~ p8(c24,f9(f13(X59,X58),X60)) ) ).

cnf(p18_33,negated_conjecture,
    ( p18(X12,f6(c19))
    | p8(X12,f9(f13(f14(X12),f15(X12)),f16(X12)))
    | ~ p18(X12,f6(c25)) ) ).

cnf(p18_34,negated_conjecture,
    ( p18(X17,f6(f7(c22,c23)))
    | p8(X17,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
    | ~ p18(X17,f6(c19)) ) ).

cnf(refute_0_0,plain,
    ( ~ p17(c21,c21)
    | ~ p2(c20,c20)
    | ~ p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23))))) ),
    inference(subst,[],[not_p2_32:[bind(X58,$fot(c21)),bind(X59,$fot(c20)),bind(X60,$fot(f11(f12(f7(c22,c23)))))]]) ).

cnf(refute_0_1,plain,
    ( ~ p18(c24,f6(c19))
    | p18(c24,f6(f7(c22,c23)))
    | p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23))))) ),
    inference(subst,[],[p18_34:[bind(X17,$fot(c24))]]) ).

cnf(refute_0_2,plain,
    ( ~ p18(c24,f6(c25))
    | p18(c24,f6(c19))
    | p2(f14(c24),c20) ),
    inference(subst,[],[p18_24:[bind(X12,$fot(c24))]]) ).

cnf(refute_0_3,plain,
    ( p18(c24,f6(c19))
    | p2(f14(c24),c20) ),
    inference(resolve,[$cnf( p18(c24,f6(c25)) )],[p18_7,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ p18(c24,f6(c25))
    | p18(c24,f6(c19))
    | p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24))) ),
    inference(subst,[],[p18_33:[bind(X12,$fot(c24))]]) ).

cnf(refute_0_5,plain,
    ( p18(c24,f6(c19))
    | p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24))) ),
    inference(resolve,[$cnf( p18(c24,f6(c25)) )],[p18_7,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ p17(c21,f15(c24))
    | ~ p2(f14(c24),c20)
    | ~ p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24))) ),
    inference(subst,[],[not_p2_32:[bind(X58,$fot(f15(c24))),bind(X59,$fot(f14(c24))),bind(X60,$fot(f16(c24)))]]) ).

cnf(refute_0_7,plain,
    ( ~ p17(c21,f15(c24))
    | ~ p2(f14(c24),c20)
    | p18(c24,f6(c19)) ),
    inference(resolve,[$cnf( p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24))) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ p17(f3(c21),f15(c24))
    | p17(c21,f15(c24)) ),
    inference(subst,[],[p17_9:[bind(X10,$fot(c21)),bind(X11,$fot(f15(c24)))]]) ).

cnf(refute_0_9,plain,
    ( ~ p18(c24,f6(c25))
    | p17(f3(c21),f15(c24))
    | p18(c24,f6(c19)) ),
    inference(subst,[],[p18_27:[bind(X12,$fot(c24))]]) ).

cnf(refute_0_10,plain,
    ( p17(f3(c21),f15(c24))
    | p18(c24,f6(c19)) ),
    inference(resolve,[$cnf( p18(c24,f6(c25)) )],[p18_7,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( p17(c21,f15(c24))
    | p18(c24,f6(c19)) ),
    inference(resolve,[$cnf( p17(f3(c21),f15(c24)) )],[refute_0_10,refute_0_8]) ).

cnf(refute_0_12,plain,
    ( p17(c21,f15(c24))
    | p18(c24,f6(f7(c22,c23)))
    | p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23))))) ),
    inference(resolve,[$cnf( p18(c24,f6(c19)) )],[refute_0_11,refute_0_1]) ).

cnf(refute_0_13,plain,
    ( p17(c21,f15(c24))
    | p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23))))) ),
    inference(resolve,[$cnf( p18(c24,f6(f7(c22,c23))) )],[refute_0_12,not_p18_8]) ).

cnf(refute_0_14,plain,
    ( ~ p17(c21,c21)
    | ~ p2(c20,c20)
    | p17(c21,f15(c24)) ),
    inference(resolve,[$cnf( p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23))))) )],[refute_0_13,refute_0_0]) ).

cnf(refute_0_15,plain,
    p17(c21,c21),
    inference(subst,[],[p17_6:[bind(X9,$fot(c21))]]) ).

cnf(refute_0_16,plain,
    ( ~ p2(c20,c20)
    | p17(c21,f15(c24)) ),
    inference(resolve,[$cnf( p17(c21,c21) )],[refute_0_15,refute_0_14]) ).

cnf(refute_0_17,plain,
    p2(c20,c20),
    inference(subst,[],[p2_5:[bind(X18,$fot(c20))]]) ).

cnf(refute_0_18,plain,
    p17(c21,f15(c24)),
    inference(resolve,[$cnf( p2(c20,c20) )],[refute_0_17,refute_0_16]) ).

cnf(refute_0_19,plain,
    ( ~ p2(f14(c24),c20)
    | p18(c24,f6(c19)) ),
    inference(resolve,[$cnf( p17(c21,f15(c24)) )],[refute_0_18,refute_0_7]) ).

cnf(refute_0_20,plain,
    p18(c24,f6(c19)),
    inference(resolve,[$cnf( p2(f14(c24),c20) )],[refute_0_3,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( p18(c24,f6(f7(c22,c23)))
    | p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23))))) ),
    inference(resolve,[$cnf( p18(c24,f6(c19)) )],[refute_0_20,refute_0_1]) ).

cnf(refute_0_22,plain,
    p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23))))),
    inference(resolve,[$cnf( p18(c24,f6(f7(c22,c23))) )],[refute_0_21,not_p18_8]) ).

cnf(refute_0_23,plain,
    ( ~ p17(c21,c21)
    | ~ p2(c20,c20) ),
    inference(resolve,[$cnf( p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23))))) )],[refute_0_22,refute_0_0]) ).

cnf(refute_0_24,plain,
    ~ p2(c20,c20),
    inference(resolve,[$cnf( p17(c21,c21) )],[refute_0_15,refute_0_23]) ).

cnf(refute_0_25,plain,
    $false,
    inference(resolve,[$cnf( p2(c20,c20) )],[refute_0_17,refute_0_24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14  % Problem  : SYN619-1 : TPTP v8.1.0. Released v2.5.0.
% 0.14/0.15  % Command  : metis --show proof --show saturation %s
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Tue Jul 12 06:31:15 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.80/1.02  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.80/1.02  
% 0.80/1.02  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.80/1.02  
%------------------------------------------------------------------------------