TSTP Solution File: SYN716-1 by Metis---2.4

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN716-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n003.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 09:04:58 EDT 2022

% Result   : Unsatisfiable 0.20s 0.43s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   28 (  14 unt;   0 nHn;  19 RR)
%            Number of literals    :   50 (   0 equ;  23 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   :   58 (   6 sgn)

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

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

cnf(not_p62_34,negated_conjecture,
    ~ p62(c67,c72) ).

cnf(p62_68,negated_conjecture,
    ( p62(X199,X200)
    | ~ p4(X202,X199)
    | ~ p62(X202,X201)
    | ~ p32(X201,X200) ) ).

cnf(p4_86,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,f16(f19(f21(c66,X203),X205),X206)),X204) ) ).

cnf(p62_99,negated_conjecture,
    ( p62(X7,X12)
    | ~ p62(f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11),X12) ) ).

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

cnf(p3_106,negated_conjecture,
    p3(f8(f11(f13(c65,f16(f19(f21(c66,X7),X8),X9)),X10),X11),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11)),f43(f45(f47(f49(f51(c75,X7),X8),X9),X10),X11)),f53(f55(f57(f59(f61(c76,X7),X8),X9),X10),X11))) ).

cnf(refute_0_0,plain,
    ( ~ p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72)
    | p62(c67,c72) ),
    inference(subst,[],[p62_99:[bind(X10,$fot(c70)),bind(X11,$fot(c71)),bind(X12,$fot(c72)),bind(X7,$fot(c67)),bind(X8,$fot(c68)),bind(X9,$fot(c69))]]) ).

cnf(refute_0_1,plain,
    ( ~ p62(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72)
    | p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72) ),
    inference(subst,[],[p62_97:[bind(X203,$fot(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71))),bind(X204,$fot(c72)),bind(X205,$fot(f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71))),bind(X206,$fot(f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))]]) ).

cnf(refute_0_2,plain,
    p32(X_493,X_493),
    inference(subst,[],[p32_20:[bind(X92,$fot(X_493))]]) ).

cnf(refute_0_3,plain,
    ( ~ p32(X_493,X_493)
    | ~ p4(X_495,X_492)
    | ~ p62(X_495,X_493)
    | p62(X_492,X_493) ),
    inference(subst,[],[p62_68:[bind(X199,$fot(X_492)),bind(X200,$fot(X_493)),bind(X201,$fot(X_493)),bind(X202,$fot(X_495))]]) ).

cnf(refute_0_4,plain,
    ( ~ p4(X_495,X_492)
    | ~ p62(X_495,X_493)
    | p62(X_492,X_493) ),
    inference(resolve,[$cnf( p32(X_493,X_493) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X_496)
    | ~ p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72)
    | p62(X_496,c72) ),
    inference(subst,[],[refute_0_4:[bind(X_492,$fot(X_496)),bind(X_493,$fot(c72)),bind(X_495,$fot(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71))))]]) ).

cnf(refute_0_6,plain,
    ( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X_496)
    | p62(X_496,c72) ),
    inference(resolve,[$cnf( p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72) )],[p62_100,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))))
    | p62(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72) ),
    inference(subst,[],[refute_0_6:[bind(X_496,$fot(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))))]]) ).

cnf(refute_0_8,plain,
    p2(X_378,X_378),
    inference(subst,[],[p2_28:[bind(X44,$fot(X_378))]]) ).

cnf(refute_0_9,plain,
    ( ~ p2(X_378,X_378)
    | ~ p3(X_377,X_379)
    | p4(f5(X_378,X_377),f5(X_378,X_379)) ),
    inference(subst,[],[p4_86:[bind(X123,$fot(X_378)),bind(X124,$fot(X_377)),bind(X125,$fot(X_378)),bind(X126,$fot(X_379))]]) ).

cnf(refute_0_10,plain,
    ( ~ p3(X_377,X_379)
    | p4(f5(X_378,X_377),f5(X_378,X_379)) ),
    inference(resolve,[$cnf( p2(X_378,X_378) )],[refute_0_8,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,X_524),X_525),X_526)),X_522),X_523),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X_524),X_525),X_526),X_522),X_523)),f43(f45(f47(f49(f51(c75,X_524),X_525),X_526),X_522),X_523)),f53(f55(f57(f59(f61(c76,X_524),X_525),X_526),X_522),X_523)))
    | p4(f5(X_378,f8(f11(f13(c65,f16(f19(f21(c66,X_524),X_525),X_526)),X_522),X_523)),f5(X_378,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X_524),X_525),X_526),X_522),X_523)),f43(f45(f47(f49(f51(c75,X_524),X_525),X_526),X_522),X_523)),f53(f55(f57(f59(f61(c76,X_524),X_525),X_526),X_522),X_523)))) ),
    inference(subst,[],[refute_0_10:[bind(X_377,$fot(f8(f11(f13(c65,f16(f19(f21(c66,X_524),X_525),X_526)),X_522),X_523))),bind(X_379,$fot(f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X_524),X_525),X_526),X_522),X_523)),f43(f45(f47(f49(f51(c75,X_524),X_525),X_526),X_522),X_523)),f53(f55(f57(f59(f61(c76,X_524),X_525),X_526),X_522),X_523))))]]) ).

cnf(refute_0_12,plain,
    p3(f8(f11(f13(c65,f16(f19(f21(c66,X_524),X_525),X_526)),X_522),X_523),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X_524),X_525),X_526),X_522),X_523)),f43(f45(f47(f49(f51(c75,X_524),X_525),X_526),X_522),X_523)),f53(f55(f57(f59(f61(c76,X_524),X_525),X_526),X_522),X_523))),
    inference(subst,[],[p3_106:[bind(X10,$fot(X_522)),bind(X11,$fot(X_523)),bind(X7,$fot(X_524)),bind(X8,$fot(X_525)),bind(X9,$fot(X_526))]]) ).

cnf(refute_0_13,plain,
    p4(f5(X_378,f8(f11(f13(c65,f16(f19(f21(c66,X_524),X_525),X_526)),X_522),X_523)),f5(X_378,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X_524),X_525),X_526),X_522),X_523)),f43(f45(f47(f49(f51(c75,X_524),X_525),X_526),X_522),X_523)),f53(f55(f57(f59(f61(c76,X_524),X_525),X_526),X_522),X_523)))),
    inference(resolve,[$cnf( p3(f8(f11(f13(c65,f16(f19(f21(c66,X_524),X_525),X_526)),X_522),X_523),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X_524),X_525),X_526),X_522),X_523)),f43(f45(f47(f49(f51(c75,X_524),X_525),X_526),X_522),X_523)),f53(f55(f57(f59(f61(c76,X_524),X_525),X_526),X_522),X_523))) )],[refute_0_12,refute_0_11]) ).

cnf(refute_0_14,plain,
    p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))),
    inference(subst,[],[refute_0_13:[bind(X_378,$fot(c64)),bind(X_522,$fot(c70)),bind(X_523,$fot(c71)),bind(X_524,$fot(c67)),bind(X_525,$fot(c68)),bind(X_526,$fot(c69))]]) ).

cnf(refute_0_15,plain,
    p62(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72),
    inference(resolve,[$cnf( p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))) )],[refute_0_14,refute_0_7]) ).

cnf(refute_0_16,plain,
    p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72),
    inference(resolve,[$cnf( p62(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72) )],[refute_0_15,refute_0_1]) ).

cnf(refute_0_17,plain,
    p62(c67,c72),
    inference(resolve,[$cnf( p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72) )],[refute_0_16,refute_0_0]) ).

cnf(refute_0_18,plain,
    $false,
    inference(resolve,[$cnf( p62(c67,c72) )],[refute_0_17,not_p62_34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN716-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n003.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 : Mon Jul 11 20:01:30 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.43  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.43  
% 0.20/0.43  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.44  
%------------------------------------------------------------------------------