TSTP Solution File: SYN569-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN569-1 : 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_sat --cores 0 -t %d %s

% Computer : n013.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 19:38:56 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   40 (  22 unt;   0 def)
%            Number of atoms       :   67 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   58 (  31   ~;  27   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  10 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f200,plain,
    $false,
    inference(subsumption_resolution,[],[f199,f5]) ).

fof(f5,axiom,
    p8(c11,c14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_5) ).

fof(f199,plain,
    ~ p8(c11,c14),
    inference(subsumption_resolution,[],[f195,f3]) ).

fof(f3,axiom,
    p8(c14,c12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).

fof(f195,plain,
    ( ~ p8(c14,c12)
    | ~ p8(c11,c14) ),
    inference(resolution,[],[f191,f28]) ).

fof(f28,plain,
    ! [X41] :
      ( ~ p2(sF2,sF5(X41))
      | ~ p8(c11,X41)
      | ~ p8(X41,c12) ),
    inference(definition_folding,[],[f20,f27,f24,f23,f22,f21]) ).

fof(f21,plain,
    f7(c13,c12) = sF0,
    introduced(function_definition,[]) ).

fof(f22,plain,
    f7(c13,c11) = sF1,
    introduced(function_definition,[]) ).

fof(f23,plain,
    f5(sF0,sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f24,plain,
    f5(c12,c11) = sF3,
    introduced(function_definition,[]) ).

fof(f27,plain,
    ! [X41] : f4(sF3,f3(X41)) = sF5(X41),
    introduced(function_definition,[]) ).

fof(f20,axiom,
    ! [X41] :
      ( ~ p8(c11,X41)
      | ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X41)))
      | ~ p8(X41,c12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_20) ).

fof(f191,plain,
    p2(sF2,sF5(c14)),
    inference(resolution,[],[f188,f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ p2(X1,X0)
      | p2(X0,X1) ),
    inference(resolution,[],[f10,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

fof(f10,axiom,
    ! [X0,X8,X9] :
      ( ~ p2(X0,X9)
      | p2(X8,X9)
      | ~ p2(X0,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).

fof(f188,plain,
    p2(sF5(c14),sF2),
    inference(resolution,[],[f187,f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ~ p2(sF4,X0)
      | p2(X0,sF2) ),
    inference(resolution,[],[f38,f10]) ).

fof(f38,plain,
    p2(sF4,sF2),
    inference(resolution,[],[f33,f26]) ).

fof(f26,plain,
    p2(sF2,sF4),
    inference(definition_folding,[],[f15,f25,f24,f23,f22,f21]) ).

fof(f25,plain,
    f4(sF3,c15) = sF4,
    introduced(function_definition,[]) ).

fof(f15,axiom,
    p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).

fof(f187,plain,
    p2(sF4,sF5(c14)),
    inference(subsumption_resolution,[],[f186,f1]) ).

fof(f186,plain,
    ( ~ p2(c15,c15)
    | p2(sF4,sF5(c14)) ),
    inference(resolution,[],[f180,f57]) ).

fof(f57,plain,
    ! [X0] :
      ( p2(X0,f3(c14))
      | ~ p2(c15,X0) ),
    inference(resolution,[],[f54,f10]) ).

fof(f54,plain,
    p2(c15,f3(c14)),
    inference(resolution,[],[f53,f33]) ).

fof(f53,plain,
    p2(f3(c14),c15),
    inference(subsumption_resolution,[],[f52,f29]) ).

fof(f29,plain,
    p10(c14,c12),
    inference(resolution,[],[f7,f3]) ).

fof(f7,axiom,
    ! [X2,X3] :
      ( ~ p8(X2,X3)
      | p10(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).

fof(f52,plain,
    ( ~ p10(c14,c12)
    | p2(f3(c14),c15) ),
    inference(subsumption_resolution,[],[f50,f31]) ).

fof(f31,plain,
    p10(c11,c14),
    inference(resolution,[],[f7,f5]) ).

fof(f50,plain,
    ( ~ p10(c11,c14)
    | ~ p10(c14,c12)
    | p2(f3(c14),c15) ),
    inference(resolution,[],[f12,f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ p9(c13,X0,c14)
      | p2(X0,c15) ),
    inference(resolution,[],[f11,f6]) ).

fof(f6,axiom,
    p9(c13,c15,c14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).

fof(f11,axiom,
    ! [X10,X11,X12,X13] :
      ( ~ p9(X12,X11,X13)
      | ~ p9(X12,X10,X13)
      | p2(X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).

fof(f12,axiom,
    ! [X14] :
      ( p9(c13,f3(X14),X14)
      | ~ p10(X14,c12)
      | ~ p10(c11,X14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_12) ).

fof(f180,plain,
    ! [X0] :
      ( ~ p2(c15,f3(X0))
      | p2(sF4,sF5(X0)) ),
    inference(subsumption_resolution,[],[f179,f1]) ).

fof(f179,plain,
    ! [X0] :
      ( p2(sF4,sF5(X0))
      | ~ p2(c15,f3(X0))
      | ~ p2(sF3,sF3) ),
    inference(superposition,[],[f93,f27]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( p2(sF4,f4(X0,X1))
      | ~ p2(c15,X1)
      | ~ p2(sF3,X0) ),
    inference(superposition,[],[f16,f25]) ).

fof(f16,axiom,
    ! [X26,X24,X25,X23] :
      ( p2(f4(X23,X24),f4(X25,X26))
      | ~ p2(X24,X26)
      | ~ p2(X23,X25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN569-1 : 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_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n013.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 22:05:47 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (29725)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (29725)Refutation not found, incomplete strategy% (29725)------------------------------
% 0.20/0.52  % (29725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (29743)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (29725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (29725)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (29725)Memory used [KB]: 5373
% 0.20/0.52  % (29725)Time elapsed: 0.106 s
% 0.20/0.52  % (29725)Instructions burned: 1 (million)
% 0.20/0.52  % (29725)------------------------------
% 0.20/0.52  % (29725)------------------------------
% 0.20/0.52  % (29755)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.52  % (29738)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (29735)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (29738)First to succeed.
% 0.20/0.53  % (29728)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (29734)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (29736)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (29738)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (29738)------------------------------
% 0.20/0.54  % (29738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (29738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (29738)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (29738)Memory used [KB]: 5500
% 0.20/0.54  % (29738)Time elapsed: 0.105 s
% 0.20/0.54  % (29738)Instructions burned: 7 (million)
% 0.20/0.54  % (29738)------------------------------
% 0.20/0.54  % (29738)------------------------------
% 0.20/0.54  % (29720)Success in time 0.183 s
%------------------------------------------------------------------------------