TSTP Solution File: SYN631-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN631-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n002.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  : 300s
% DateTime : Wed Aug 31 19:27:57 EDT 2022

% Result   : Unsatisfiable 1.55s 0.60s
% Output   : Refutation 1.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   31 (  12 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   83 (  49   ~;  33   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-3 aty)
%            Number of variables   :   59 (  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f191,plain,
    $false,
    inference(unit_resulting_resolution,[],[f12,f182,f34]) ).

fof(f34,axiom,
    ! [X62,X63,X64] :
      ( p5(X62,f18(f20(c29),f19(X63,X62,X64)))
      | ~ p23(f13(X62,X64),f11(f15(X63))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_34) ).

fof(f182,plain,
    ! [X0] : ~ p5(c27,f18(X0,f19(c24,c27,f14(c28)))),
    inference(resolution,[],[f179,f5]) ).

fof(f5,axiom,
    ! [X4] : p5(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_5) ).

fof(f179,plain,
    ! [X0,X1] :
      ( ~ p5(X0,c27)
      | ~ p5(X0,f18(X1,f19(c24,c27,f14(c28)))) ),
    inference(resolution,[],[f177,f25]) ).

fof(f25,axiom,
    ! [X4,X34,X35] :
      ( p5(X34,X35)
      | ~ p5(X4,X34)
      | ~ p5(X4,X35) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_25) ).

fof(f177,plain,
    ! [X0] : ~ p5(f18(X0,f19(c24,c27,f14(c28))),c27),
    inference(resolution,[],[f174,f18]) ).

fof(f18,axiom,
    ! [X21,X20] :
      ( p5(f16(X20),f16(X21))
      | ~ p5(X20,X21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_18) ).

fof(f174,plain,
    ! [X4] : ~ p5(f16(f18(X4,f19(c24,c27,f14(c28)))),f16(c27)),
    inference(resolution,[],[f170,f11]) ).

fof(f11,axiom,
    ! [X10,X11] : p5(f16(f18(X10,X11)),X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_11) ).

fof(f170,plain,
    ! [X0] :
      ( ~ p5(X0,f19(c24,c27,f14(c28)))
      | ~ p5(X0,f16(c27)) ),
    inference(resolution,[],[f169,f25]) ).

fof(f169,plain,
    ~ p5(f19(c24,c27,f14(c28)),f16(c27)),
    inference(subsumption_resolution,[],[f167,f5]) ).

fof(f167,plain,
    ( ~ p5(f14(c28),f14(c28))
    | ~ p5(f19(c24,c27,f14(c28)),f16(c27)) ),
    inference(resolution,[],[f164,f32]) ).

fof(f32,axiom,
    ! [X56,X54,X57,X55] :
      ( p12(f13(X54,X55),f13(X56,X57))
      | ~ p5(X55,X57)
      | ~ p5(X54,X56) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_32) ).

fof(f164,plain,
    ~ p12(f13(f19(c24,c27,f14(c28)),f14(c28)),f13(f16(c27),f14(c28))),
    inference(resolution,[],[f161,f8]) ).

fof(f8,axiom,
    ! [X7] : p12(X7,X7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_8) ).

fof(f161,plain,
    ! [X0] :
      ( ~ p12(X0,f13(f19(c24,c27,f14(c28)),f14(c28)))
      | ~ p12(X0,f13(f16(c27),f14(c28))) ),
    inference(resolution,[],[f141,f12]) ).

fof(f141,plain,
    ! [X6,X4,X5] :
      ( ~ p23(f13(X4,X5),f11(f15(c24)))
      | ~ p12(X6,f13(f16(c27),f14(c28)))
      | ~ p12(X6,f13(f19(c24,X4,X5),X5)) ),
    inference(resolution,[],[f93,f1]) ).

fof(f1,axiom,
    ! [X0] : p10(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).

fof(f93,plain,
    ! [X3,X6,X4,X5] :
      ( ~ p10(f11(X5),f11(c24))
      | ~ p23(f13(X3,X4),f11(f15(X5)))
      | ~ p12(X6,f13(f16(c27),f14(c28)))
      | ~ p12(X6,f13(f19(X5,X3,X4),X4)) ),
    inference(resolution,[],[f50,f28]) ).

fof(f28,axiom,
    ! [X40,X41,X7] :
      ( p12(X40,X41)
      | ~ p12(X7,X40)
      | ~ p12(X7,X41) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_28) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ p12(f13(f19(X2,X0,X1),X1),f13(f16(c27),f14(c28)))
      | ~ p23(f13(X0,X1),f11(f15(X2)))
      | ~ p10(f11(X2),f11(c24)) ),
    inference(resolution,[],[f35,f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ p23(X0,X1)
      | ~ p12(X0,f13(f16(c27),f14(c28)))
      | ~ p10(X1,f11(c24)) ),
    inference(resolution,[],[f45,f13]) ).

fof(f13,axiom,
    ~ p23(f13(f16(c27),f14(c28)),f11(c24)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p23_13) ).

fof(f45,plain,
    ! [X2,X3,X0,X1] :
      ( p23(X0,X1)
      | ~ p23(X3,X2)
      | ~ p12(X3,X0)
      | ~ p10(X2,X1) ),
    inference(resolution,[],[f42,f41]) ).

fof(f41,plain,
    ! [X44,X45,X42] :
      ( sP1(X42,X45)
      | ~ p23(X44,X45)
      | ~ p12(X44,X42) ),
    inference(cnf_transformation,[],[f41_D]) ).

fof(f41_D,plain,
    ! [X45,X42] :
      ( ! [X44] :
          ( ~ p23(X44,X45)
          | ~ p12(X44,X42) )
    <=> ~ sP1(X42,X45) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f42,plain,
    ! [X45,X42,X43] :
      ( ~ sP1(X42,X45)
      | p23(X42,X43)
      | ~ p10(X45,X43) ),
    inference(general_splitting,[],[f29,f41_D]) ).

fof(f29,axiom,
    ! [X44,X45,X42,X43] :
      ( ~ p12(X44,X42)
      | ~ p23(X44,X45)
      | p23(X42,X43)
      | ~ p10(X45,X43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_29) ).

fof(f35,axiom,
    ! [X62,X63,X64] :
      ( p23(f13(f19(X63,X62,X64),X64),f11(X63))
      | ~ p23(f13(X62,X64),f11(f15(X63))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_35) ).

fof(f12,axiom,
    p23(f13(c27,f14(c28)),f11(f15(c24))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN631-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n002.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    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:24:44 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 1.37/0.54  % (13788)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.37/0.54  % (13789)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.55  % (13805)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.55/0.55  % (13797)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.55/0.55  % (13804)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.55/0.56  % (13796)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.55/0.56  % (13797)Instruction limit reached!
% 1.55/0.56  % (13797)------------------------------
% 1.55/0.56  % (13797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.57  % (13797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.57  % (13797)Termination reason: Unknown
% 1.55/0.57  % (13797)Termination phase: Finite model building constraint generation
% 1.55/0.57  
% 1.55/0.57  % (13797)Memory used [KB]: 6012
% 1.55/0.57  % (13797)Time elapsed: 0.006 s
% 1.55/0.57  % (13797)Instructions burned: 6 (million)
% 1.55/0.57  % (13797)------------------------------
% 1.55/0.57  % (13797)------------------------------
% 1.55/0.60  % (13796)First to succeed.
% 1.55/0.60  % (13786)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.55/0.60  % (13787)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.55/0.60  % (13785)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.55/0.60  % (13796)Refutation found. Thanks to Tanya!
% 1.55/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.55/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.60  % (13796)------------------------------
% 1.55/0.60  % (13796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.60  % (13796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.60  % (13796)Termination reason: Refutation
% 1.55/0.60  
% 1.55/0.60  % (13796)Memory used [KB]: 1535
% 1.55/0.60  % (13796)Time elapsed: 0.180 s
% 1.55/0.60  % (13796)Instructions burned: 20 (million)
% 1.55/0.60  % (13796)------------------------------
% 1.55/0.60  % (13796)------------------------------
% 1.55/0.60  % (13781)Success in time 0.251 s
%------------------------------------------------------------------------------