TSTP Solution File: SYN712-1 by Metis---2.4

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN712-1 : 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 09:04:57 EDT 2022

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   32 (  16 unt;   0 nHn;  20 RR)
%            Number of literals    :   56 (   0 equ;  25 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :   10 (   3 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  12 con; 0-2 aty)
%            Number of variables   :   66 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p32_20,negated_conjecture,
    p32(X92,X92) ).

cnf(p2_28,negated_conjecture,
    p2(X44,X44) ).

cnf(not_p62_67,negated_conjecture,
    ~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69) ).

cnf(p62_69,negated_conjecture,
    ( p62(X199,X200)
    | ~ p4(X202,X199)
    | ~ p62(X202,X201)
    | ~ p32(X201,X200) ) ).

cnf(p4_82,negated_conjecture,
    ( p4(f5(X123,X124),f5(X125,X126))
    | ~ p2(X123,X125)
    | ~ p3(X124,X126) ) ).

cnf(p62_97,negated_conjecture,
    ( p62(X203,X204)
    | ~ p62(f5(c64,f8(f11(f13(c65,X203),X205),X206)),X204) ) ).

cnf(p62_98,negated_conjecture,
    ( p62(f5(c64,f8(f11(f13(c65,X203),X205),X206)),X204)
    | ~ p62(X203,X204) ) ).

cnf(p62_99,negated_conjecture,
    ( p62(X24,X29)
    | ~ p62(f23(f25(f27(f29(f31(c74,X24),X25),X26),X27),X28),X29) ) ).

cnf(p62_100,negated_conjecture,
    p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69) ).

cnf(p3_104,negated_conjecture,
    p3(f16(f19(f21(c70,f8(f11(f13(c65,X24),X25),X26)),X27),X28),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X24),X25),X26),X27),X28)),f43(f45(f47(f49(f51(c75,X24),X25),X26),X27),X28)),f53(f55(f57(f59(f61(c76,X24),X25),X26),X27),X28))) ).

cnf(refute_0_0,plain,
    ( ~ p62(c66,c69)
    | p62(f5(c64,f8(f11(f13(c65,c66),X205),X206)),c69) ),
    inference(subst,[],[p62_98:[bind(X203,$fot(c66)),bind(X204,$fot(c69))]]) ).

cnf(refute_0_1,plain,
    ( ~ p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69)
    | p62(c66,c69) ),
    inference(subst,[],[p62_99:[bind(X24,$fot(c66)),bind(X25,$fot(c67)),bind(X26,$fot(c68)),bind(X27,$fot(c71)),bind(X28,$fot(c72)),bind(X29,$fot(c69))]]) ).

cnf(refute_0_2,plain,
    ( ~ p62(f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69)
    | p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69) ),
    inference(subst,[],[p62_97:[bind(X203,$fot(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72))),bind(X204,$fot(c69)),bind(X205,$fot(f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72))),bind(X206,$fot(f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72)))]]) ).

cnf(refute_0_3,plain,
    p32(X_513,X_513),
    inference(subst,[],[p32_20:[bind(X92,$fot(X_513))]]) ).

cnf(refute_0_4,plain,
    ( ~ p32(X_513,X_513)
    | ~ p4(X_515,X_512)
    | ~ p62(X_515,X_513)
    | p62(X_512,X_513) ),
    inference(subst,[],[p62_69:[bind(X199,$fot(X_512)),bind(X200,$fot(X_513)),bind(X201,$fot(X_513)),bind(X202,$fot(X_515))]]) ).

cnf(refute_0_5,plain,
    ( ~ p4(X_515,X_512)
    | ~ p62(X_515,X_513)
    | p62(X_512,X_513) ),
    inference(resolve,[$cnf( p32(X_513,X_513) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),X_516)
    | ~ p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69)
    | p62(X_516,c69) ),
    inference(subst,[],[refute_0_5:[bind(X_512,$fot(X_516)),bind(X_513,$fot(c69)),bind(X_515,$fot(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72))))]]) ).

cnf(refute_0_7,plain,
    ( ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),X_516)
    | p62(X_516,c69) ),
    inference(resolve,[$cnf( p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69) )],[p62_100,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))))
    | p62(f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69) ),
    inference(subst,[],[refute_0_7:[bind(X_516,$fot(f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72)))))]]) ).

cnf(refute_0_9,plain,
    p2(X_340,X_340),
    inference(subst,[],[p2_28:[bind(X44,$fot(X_340))]]) ).

cnf(refute_0_10,plain,
    ( ~ p2(X_340,X_340)
    | ~ p3(X_339,X_341)
    | p4(f5(X_340,X_339),f5(X_340,X_341)) ),
    inference(subst,[],[p4_82:[bind(X123,$fot(X_340)),bind(X124,$fot(X_339)),bind(X125,$fot(X_340)),bind(X126,$fot(X_341))]]) ).

cnf(refute_0_11,plain,
    ( ~ p3(X_339,X_341)
    | p4(f5(X_340,X_339),f5(X_340,X_341)) ),
    inference(resolve,[$cnf( p2(X_340,X_340) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ p3(f16(f19(f21(c70,f8(f11(f13(c65,X_532),X_533),X_534)),X_535),X_536),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X_532),X_533),X_534),X_535),X_536)),f43(f45(f47(f49(f51(c75,X_532),X_533),X_534),X_535),X_536)),f53(f55(f57(f59(f61(c76,X_532),X_533),X_534),X_535),X_536)))
    | p4(f5(X_340,f16(f19(f21(c70,f8(f11(f13(c65,X_532),X_533),X_534)),X_535),X_536)),f5(X_340,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X_532),X_533),X_534),X_535),X_536)),f43(f45(f47(f49(f51(c75,X_532),X_533),X_534),X_535),X_536)),f53(f55(f57(f59(f61(c76,X_532),X_533),X_534),X_535),X_536)))) ),
    inference(subst,[],[refute_0_11:[bind(X_339,$fot(f16(f19(f21(c70,f8(f11(f13(c65,X_532),X_533),X_534)),X_535),X_536))),bind(X_341,$fot(f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X_532),X_533),X_534),X_535),X_536)),f43(f45(f47(f49(f51(c75,X_532),X_533),X_534),X_535),X_536)),f53(f55(f57(f59(f61(c76,X_532),X_533),X_534),X_535),X_536))))]]) ).

cnf(refute_0_13,plain,
    p3(f16(f19(f21(c70,f8(f11(f13(c65,X_532),X_533),X_534)),X_535),X_536),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X_532),X_533),X_534),X_535),X_536)),f43(f45(f47(f49(f51(c75,X_532),X_533),X_534),X_535),X_536)),f53(f55(f57(f59(f61(c76,X_532),X_533),X_534),X_535),X_536))),
    inference(subst,[],[p3_104:[bind(X24,$fot(X_532)),bind(X25,$fot(X_533)),bind(X26,$fot(X_534)),bind(X27,$fot(X_535)),bind(X28,$fot(X_536))]]) ).

cnf(refute_0_14,plain,
    p4(f5(X_340,f16(f19(f21(c70,f8(f11(f13(c65,X_532),X_533),X_534)),X_535),X_536)),f5(X_340,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X_532),X_533),X_534),X_535),X_536)),f43(f45(f47(f49(f51(c75,X_532),X_533),X_534),X_535),X_536)),f53(f55(f57(f59(f61(c76,X_532),X_533),X_534),X_535),X_536)))),
    inference(resolve,[$cnf( p3(f16(f19(f21(c70,f8(f11(f13(c65,X_532),X_533),X_534)),X_535),X_536),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X_532),X_533),X_534),X_535),X_536)),f43(f45(f47(f49(f51(c75,X_532),X_533),X_534),X_535),X_536)),f53(f55(f57(f59(f61(c76,X_532),X_533),X_534),X_535),X_536))) )],[refute_0_13,refute_0_12]) ).

cnf(refute_0_15,plain,
    p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72)))),
    inference(subst,[],[refute_0_14:[bind(X_340,$fot(c64)),bind(X_532,$fot(c66)),bind(X_533,$fot(c67)),bind(X_534,$fot(c68)),bind(X_535,$fot(c71)),bind(X_536,$fot(c72))]]) ).

cnf(refute_0_16,plain,
    p62(f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69),
    inference(resolve,[$cnf( p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72)))) )],[refute_0_15,refute_0_8]) ).

cnf(refute_0_17,plain,
    p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69),
    inference(resolve,[$cnf( p62(f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69) )],[refute_0_16,refute_0_2]) ).

cnf(refute_0_18,plain,
    p62(c66,c69),
    inference(resolve,[$cnf( p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69) )],[refute_0_17,refute_0_1]) ).

cnf(refute_0_19,plain,
    p62(f5(c64,f8(f11(f13(c65,c66),X205),X206)),c69),
    inference(resolve,[$cnf( p62(c66,c69) )],[refute_0_18,refute_0_0]) ).

cnf(refute_0_20,plain,
    p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
    inference(subst,[],[refute_0_19:[bind(X205,$fot(c67)),bind(X206,$fot(c68))]]) ).

cnf(refute_0_21,plain,
    $false,
    inference(resolve,[$cnf( p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69) )],[refute_0_20,not_p62_67]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN712-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul 12 05:42:32 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.45  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  
% 0.19/0.45  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.46  
%------------------------------------------------------------------------------