TSTP Solution File: LCL358-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL358-1 : TPTP v8.1.0. Released v2.3.0.
% 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 : n022.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 17:48:02 EDT 2022

% Result   : Unsatisfiable 1.91s 0.61s
% Output   : Refutation 1.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   33 (  25 unt;   0 def)
%            Number of atoms       :   44 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  16   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  14 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1162,plain,
    $false,
    inference(subsumption_resolution,[],[f1161,f439]) ).

fof(f439,plain,
    ~ is_a_theorem(implies(sF3,implies(sF1,sF5))),
    inference(resolution,[],[f335,f434]) ).

fof(f434,plain,
    ~ is_a_theorem(implies(implies(implies(sF1,sF5),sF6),sF7)),
    inference(resolution,[],[f431,f138]) ).

fof(f138,plain,
    is_a_theorem(implies(sF2,implies(implies(sF1,sF5),sF6))),
    inference(superposition,[],[f88,f12]) ).

fof(f12,plain,
    implies(x,sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f88,plain,
    ! [X0] : is_a_theorem(implies(sF2,implies(implies(sF1,X0),implies(x,X0)))),
    inference(superposition,[],[f2,f8]) ).

fof(f8,plain,
    sF2 = implies(x,sF1),
    introduced(function_definition,[]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).

fof(f431,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(sF2,X0))
      | ~ is_a_theorem(implies(X0,sF7)) ),
    inference(subsumption_resolution,[],[f429,f15]) ).

fof(f15,plain,
    ~ is_a_theorem(sF8),
    inference(definition_folding,[],[f5,f14,f13,f12,f11,f10,f9,f8,f7,f6]) ).

fof(f6,plain,
    implies(y,z) = sF0,
    introduced(function_definition,[]) ).

fof(f7,plain,
    implies(sF0,u) = sF1,
    introduced(function_definition,[]) ).

fof(f9,plain,
    implies(y,v) = sF3,
    introduced(function_definition,[]) ).

fof(f10,plain,
    implies(v,z) = sF4,
    introduced(function_definition,[]) ).

fof(f11,plain,
    implies(sF4,u) = sF5,
    introduced(function_definition,[]) ).

fof(f13,plain,
    implies(sF3,sF6) = sF7,
    introduced(function_definition,[]) ).

fof(f14,plain,
    sF8 = implies(sF2,sF7),
    introduced(function_definition,[]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_07) ).

fof(f429,plain,
    ! [X0] :
      ( is_a_theorem(sF8)
      | ~ is_a_theorem(implies(sF2,X0))
      | ~ is_a_theorem(implies(X0,sF7)) ),
    inference(resolution,[],[f332,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f332,plain,
    ! [X0] :
      ( is_a_theorem(implies(implies(X0,sF7),sF8))
      | ~ is_a_theorem(implies(sF2,X0)) ),
    inference(resolution,[],[f112,f1]) ).

fof(f112,plain,
    ! [X6] : is_a_theorem(implies(implies(sF2,X6),implies(implies(X6,sF7),sF8))),
    inference(superposition,[],[f2,f14]) ).

fof(f335,plain,
    ! [X0] :
      ( is_a_theorem(implies(implies(X0,sF6),sF7))
      | ~ is_a_theorem(implies(sF3,X0)) ),
    inference(resolution,[],[f113,f1]) ).

fof(f113,plain,
    ! [X7] : is_a_theorem(implies(implies(sF3,X7),implies(implies(X7,sF6),sF7))),
    inference(superposition,[],[f2,f13]) ).

fof(f1161,plain,
    is_a_theorem(implies(sF3,implies(sF1,sF5))),
    inference(resolution,[],[f480,f163]) ).

fof(f163,plain,
    is_a_theorem(implies(sF3,implies(sF4,sF0))),
    inference(forward_demodulation,[],[f160,f6]) ).

fof(f160,plain,
    is_a_theorem(implies(sF3,implies(sF4,implies(y,z)))),
    inference(superposition,[],[f91,f10]) ).

fof(f91,plain,
    ! [X3] : is_a_theorem(implies(sF3,implies(implies(v,X3),implies(y,X3)))),
    inference(superposition,[],[f2,f9]) ).

fof(f480,plain,
    ! [X48] :
      ( ~ is_a_theorem(implies(X48,implies(sF4,sF0)))
      | is_a_theorem(implies(X48,implies(sF1,sF5))) ),
    inference(resolution,[],[f351,f242]) ).

fof(f242,plain,
    is_a_theorem(implies(implies(sF4,sF0),implies(sF1,sF5))),
    inference(superposition,[],[f102,f11]) ).

fof(f102,plain,
    ! [X5] : is_a_theorem(implies(implies(X5,sF0),implies(sF1,implies(X5,u)))),
    inference(superposition,[],[f2,f7]) ).

fof(f351,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f87,f1]) ).

fof(f87,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
      | ~ is_a_theorem(implies(X2,X0)) ),
    inference(resolution,[],[f2,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL358-1 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13  % 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 : n022.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 01:58:41 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (24469)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.53  % (24461)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.53  % (24470)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.19/0.54  % (24460)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.54  % (24462)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.55  % (24456)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.19/0.55  % (24472)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [3]
% 0.19/0.55  % (24477)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.55  % (24474)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.56  % (24458)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.56  % (24459)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.56  % (24457)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.56  % (24457)Refutation not found, incomplete strategy% (24457)------------------------------
% 0.19/0.56  % (24457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (24457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (24457)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56  
% 0.19/0.56  % (24457)Memory used [KB]: 5373
% 0.19/0.56  % (24457)Time elapsed: 0.154 s
% 0.19/0.56  % (24457)Instructions burned: 1 (million)
% 0.19/0.56  % (24457)------------------------------
% 0.19/0.56  % (24457)------------------------------
% 0.19/0.56  % (24478)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.19/0.57  TRYING [1]
% 0.19/0.57  TRYING [2]
% 0.19/0.57  TRYING [3]
% 0.19/0.57  % (24481)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.57  % (24465)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 (3000ds/51Mi)
% 0.19/0.57  % (24482)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.19/0.58  TRYING [4]
% 0.19/0.58  % (24473)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.58  TRYING [1]
% 0.19/0.58  TRYING [2]
% 0.19/0.58  % (24468)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.59  TRYING [3]
% 0.19/0.59  % (24476)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 1.91/0.59  % (24469)First to succeed.
% 1.91/0.59  % (24484)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.91/0.59  % (24483)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 1.91/0.59  % (24475)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.91/0.60  % (24480)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.91/0.60  TRYING [4]
% 1.91/0.60  % (24466)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.91/0.60  % (24479)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 1.91/0.60  % (24463)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.91/0.61  % (24471)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 1.91/0.61  % (24469)Refutation found. Thanks to Tanya!
% 1.91/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.91/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.61  % (24469)------------------------------
% 1.91/0.61  % (24469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61  % (24469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61  % (24469)Termination reason: Refutation
% 1.91/0.61  
% 1.91/0.61  % (24469)Memory used [KB]: 6140
% 1.91/0.61  % (24469)Time elapsed: 0.165 s
% 1.91/0.61  % (24469)Instructions burned: 37 (million)
% 1.91/0.61  % (24469)------------------------------
% 1.91/0.61  % (24469)------------------------------
% 1.91/0.61  % (24455)Success in time 0.257 s
%------------------------------------------------------------------------------