TSTP Solution File: SYN691-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN691-1 : 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 : n004.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 19:28:07 EDT 2022

% Result   : Unsatisfiable 0.16s 0.50s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   25 (   9 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   67 (  35   ~;  31   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  10 con; 0-2 aty)
%            Number of variables   :   76 (  76   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f147,plain,
    $false,
    inference(unit_resulting_resolution,[],[f73,f15,f5,f142,f89]) ).

fof(f89,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ p22(X5,X4)
      | ~ p39(X0,X5)
      | ~ p4(X0,f17(f19(f21(c47,X1),X2),X3))
      | p39(X1,X4) ),
    inference(resolution,[],[f71,f68]) ).

fof(f68,plain,
    ! [X70,X68,X69] :
      ( sP0(X69,X68)
      | ~ p22(X70,X68)
      | ~ p39(X69,X70) ),
    inference(cnf_transformation,[],[f68_D]) ).

fof(f68_D,plain,
    ! [X68,X69] :
      ( ! [X70] :
          ( ~ p22(X70,X68)
          | ~ p39(X69,X70) )
    <=> ~ sP0(X69,X68) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f71,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sP0(X2,X1)
      | ~ p4(X2,f17(f19(f21(c47,X0),X3),X4))
      | p39(X0,X1) ),
    inference(resolution,[],[f44,f69]) ).

fof(f69,plain,
    ! [X68,X69,X67] :
      ( p39(X67,X68)
      | ~ p4(X69,X67)
      | ~ sP0(X69,X68) ),
    inference(general_splitting,[],[f45,f68_D]) ).

fof(f45,axiom,
    ! [X70,X68,X69,X67] :
      ( ~ p4(X69,X67)
      | p39(X67,X68)
      | ~ p22(X70,X68)
      | ~ p39(X69,X70) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_45) ).

fof(f44,axiom,
    ! [X65,X63,X66,X64] :
      ( ~ p39(f17(f19(f21(c47,X63),X65),X66),X64)
      | p39(X63,X64) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_44) ).

fof(f142,plain,
    p39(f17(f19(f21(c47,c43),c44),c45),c46),
    inference(resolution,[],[f127,f67]) ).

fof(f67,axiom,
    ! [X65,X63,X66] : p3(f7(c41,f10(f13(f15(c42,X63),X65),X66)),f10(f13(f15(c42,f17(f19(f21(c47,X63),X65),X66)),f26(f28(f30(c48,X63),X65),X66)),f34(f36(f38(c49,X63),X65),X66))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_67) ).

fof(f127,plain,
    ! [X2,X0,X1] :
      ( ~ p3(f7(c41,f10(f13(f15(c42,c43),c44),c45)),f10(f13(f15(c42,X0),X1),X2))
      | p39(X0,c46) ),
    inference(resolution,[],[f126,f46]) ).

fof(f46,axiom,
    p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_46) ).

fof(f126,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p39(f5(c40,X2),X1)
      | p39(X0,X1)
      | ~ p3(X2,f10(f13(f15(c42,X0),X3),X4)) ),
    inference(resolution,[],[f113,f17]) ).

fof(f17,axiom,
    ! [X16] : p2(X16,X16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).

fof(f113,plain,
    ! [X10,X11,X14,X15,X12,X13] :
      ( ~ p2(X12,c40)
      | p39(X10,X11)
      | ~ p3(X13,f10(f13(f15(c42,X10),X14),X15))
      | ~ p39(f5(X12,X13),X11) ),
    inference(resolution,[],[f107,f50]) ).

fof(f50,axiom,
    ! [X83,X86,X84,X85] :
      ( p4(f5(X83,X84),f5(X85,X86))
      | ~ p2(X83,X85)
      | ~ p3(X84,X86) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_50) ).

fof(f107,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p4(X0,f5(c40,f10(f13(f15(c42,X1),X2),X3)))
      | p39(X1,X4)
      | ~ p39(X0,X4) ),
    inference(resolution,[],[f94,f15]) ).

fof(f94,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ p22(X5,X1)
      | ~ p4(X2,f5(c40,f10(f13(f15(c42,X0),X3),X4)))
      | p39(X0,X1)
      | ~ p39(X2,X5) ),
    inference(resolution,[],[f72,f68]) ).

fof(f72,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sP0(X2,X1)
      | p39(X0,X1)
      | ~ p4(X2,f5(c40,f10(f13(f15(c42,X0),X3),X4))) ),
    inference(resolution,[],[f63,f69]) ).

fof(f63,axiom,
    ! [X138,X136,X137,X135] :
      ( ~ p39(f5(c40,f10(f13(f15(c42,X135),X137),X138)),X136)
      | p39(X135,X136) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_63) ).

fof(f5,axiom,
    ! [X4] : p4(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).

fof(f15,axiom,
    ! [X14] : p22(X14,X14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_15) ).

fof(f73,plain,
    ~ p39(c43,c46),
    inference(resolution,[],[f64,f43]) ).

fof(f43,axiom,
    ~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p39_43) ).

fof(f64,axiom,
    ! [X138,X136,X137,X135] :
      ( p39(f5(c40,f10(f13(f15(c42,X135),X137),X138)),X136)
      | ~ p39(X135,X136) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_64) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYN691-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30  % Computer : n004.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 22:13:04 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.16/0.47  % (16584)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)
% 0.16/0.47  % (16577)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)
% 0.16/0.48  % (16595)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.16/0.48  % (16584)First to succeed.
% 0.16/0.48  % (16586)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.49  % (16593)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)
% 0.16/0.49  % (16576)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)
% 0.16/0.49  % (16586)Instruction limit reached!
% 0.16/0.49  % (16586)------------------------------
% 0.16/0.49  % (16586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (16586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (16586)Termination reason: Unknown
% 0.16/0.49  % (16586)Termination phase: Saturation
% 0.16/0.49  
% 0.16/0.49  % (16586)Memory used [KB]: 5884
% 0.16/0.49  % (16586)Time elapsed: 0.008 s
% 0.16/0.49  % (16586)Instructions burned: 2 (million)
% 0.16/0.49  % (16586)------------------------------
% 0.16/0.49  % (16586)------------------------------
% 0.16/0.49  % (16585)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)
% 0.16/0.49  % (16579)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50  % (16592)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)
% 0.16/0.50  % (16584)Refutation found. Thanks to Tanya!
% 0.16/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50  % (16584)------------------------------
% 0.16/0.50  % (16584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (16584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (16584)Termination reason: Refutation
% 0.16/0.50  
% 0.16/0.50  % (16584)Memory used [KB]: 1663
% 0.16/0.50  % (16584)Time elapsed: 0.115 s
% 0.16/0.50  % (16584)Instructions burned: 13 (million)
% 0.16/0.50  % (16584)------------------------------
% 0.16/0.50  % (16584)------------------------------
% 0.16/0.50  % (16569)Success in time 0.189 s
%------------------------------------------------------------------------------