TSTP Solution File: COL100-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL100-1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n029.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 15:52:51 EDT 2022

% Result   : Unsatisfiable 0.21s 0.56s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   26 (   8 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   65 (  34   ~;  31   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-4 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f326,plain,
    $false,
    inference(subsumption_resolution,[],[f318,f14]) ).

fof(f14,axiom,
    member(pair(ya,z),r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h3) ).

fof(f318,plain,
    ~ member(pair(ya,z),r),
    inference(resolution,[],[f295,f131]) ).

fof(f131,plain,
    member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
    inference(resolution,[],[f101,f14]) ).

fof(f101,plain,
    ! [X4] :
      ( ~ member(pair(ya,X4),r)
      | member(pair(X4,diamond_strip_lemmaD_sk1(ya,sk1(yp),X4,r)),trancl(r)) ),
    inference(resolution,[],[f55,f17]) ).

fof(f17,axiom,
    member(pair(y,yp),trancl(r)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2c1) ).

fof(f55,plain,
    ! [X2,X3] :
      ( ~ member(pair(y,X3),trancl(r))
      | ~ member(pair(ya,X2),r)
      | member(pair(X2,diamond_strip_lemmaD_sk1(ya,sk1(X3),X2,r)),trancl(r)) ),
    inference(subsumption_resolution,[],[f49,f12]) ).

fof(f12,axiom,
    diamond(r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h1) ).

fof(f49,plain,
    ! [X2,X3] :
      ( ~ diamond(r)
      | ~ member(pair(ya,X2),r)
      | member(pair(X2,diamond_strip_lemmaD_sk1(ya,sk1(X3),X2,r)),trancl(r))
      | ~ member(pair(y,X3),trancl(r)) ),
    inference(resolution,[],[f10,f15]) ).

fof(f15,axiom,
    ! [X12] :
      ( member(pair(ya,sk1(X12)),trancl(r))
      | ~ member(pair(y,X12),trancl(r)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h4) ).

fof(f10,axiom,
    ! [X10,X11,X8,X12] :
      ( ~ member(pair(X10,X11),trancl(X8))
      | ~ diamond(X8)
      | member(pair(X12,diamond_strip_lemmaD_sk1(X10,X11,X12,X8)),trancl(X8))
      | ~ member(pair(X10,X12),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).

fof(f295,plain,
    ! [X1] :
      ( ~ member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),X1,r)),trancl(r))
      | ~ member(pair(ya,X1),r) ),
    inference(resolution,[],[f160,f18]) ).

fof(f18,axiom,
    ! [X13] :
      ( ~ member(pair(yp,X13),trancl(r))
      | ~ member(pair(z,X13),trancl(r)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2c2) ).

fof(f160,plain,
    ! [X1] :
      ( member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),X1,r)),trancl(r))
      | ~ member(pair(ya,X1),r) ),
    inference(resolution,[],[f82,f96]) ).

fof(f96,plain,
    ! [X4] :
      ( member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),X4,r)),r)
      | ~ member(pair(ya,X4),r) ),
    inference(resolution,[],[f40,f17]) ).

fof(f40,plain,
    ! [X2,X3] :
      ( ~ member(pair(y,X3),trancl(r))
      | ~ member(pair(ya,X2),r)
      | member(pair(sk1(X3),diamond_strip_lemmaD_sk1(ya,sk1(X3),X2,r)),r) ),
    inference(subsumption_resolution,[],[f32,f12]) ).

fof(f32,plain,
    ! [X2,X3] :
      ( ~ diamond(r)
      | member(pair(sk1(X3),diamond_strip_lemmaD_sk1(ya,sk1(X3),X2,r)),r)
      | ~ member(pair(y,X3),trancl(r))
      | ~ member(pair(ya,X2),r) ),
    inference(resolution,[],[f11,f15]) ).

fof(f11,axiom,
    ! [X10,X11,X8,X12] :
      ( ~ member(pair(X10,X11),trancl(X8))
      | ~ member(pair(X10,X12),X8)
      | member(pair(X11,diamond_strip_lemmaD_sk1(X10,X11,X12,X8)),X8)
      | ~ diamond(X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).

fof(f82,plain,
    ! [X0] :
      ( ~ member(pair(sk1(yp),X0),r)
      | member(pair(yp,X0),trancl(r)) ),
    inference(resolution,[],[f45,f7]) ).

fof(f7,axiom,
    ! [X8,X6,X7] :
      ( member(pair(X6,X7),trancl(X8))
      | ~ member(pair(X6,X7),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',r_into_trancl) ).

fof(f45,plain,
    ! [X5] :
      ( ~ member(pair(sk1(yp),X5),trancl(r))
      | member(pair(yp,X5),trancl(r)) ),
    inference(resolution,[],[f29,f23]) ).

fof(f23,plain,
    member(pair(yp,sk1(yp)),trancl(r)),
    inference(resolution,[],[f16,f17]) ).

fof(f16,axiom,
    ! [X12] :
      ( ~ member(pair(y,X12),trancl(r))
      | member(pair(X12,sk1(X12)),trancl(r)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h5) ).

fof(f29,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(pair(X3,X0),trancl(X2))
      | member(pair(X3,X1),trancl(X2))
      | ~ member(pair(X0,X1),trancl(X2)) ),
    inference(resolution,[],[f9,f8]) ).

fof(f8,axiom,
    ! [X8] : trans(trancl(X8)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_trancl) ).

fof(f9,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ trans(X8)
      | ~ member(pair(X7,X9),X8)
      | member(pair(X6,X9),X8)
      | ~ member(pair(X6,X7),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transD) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : COL100-1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 17:25:26 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (31271)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 (2999ds/37Mi)
% 0.21/0.51  % (31270)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)
% 0.21/0.52  % (31273)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (31272)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (31279)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (31294)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.53  % (31274)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 (2999ds/48Mi)
% 0.21/0.53  % (31280)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)
% 0.21/0.53  % (31284)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 (2999ds/75Mi)
% 0.21/0.53  % (31270)Refutation not found, incomplete strategy% (31270)------------------------------
% 0.21/0.53  % (31270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (31270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (31270)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (31270)Memory used [KB]: 5373
% 0.21/0.53  % (31270)Time elapsed: 0.120 s
% 0.21/0.53  % (31270)Instructions burned: 1 (million)
% 0.21/0.53  % (31270)------------------------------
% 0.21/0.53  % (31270)------------------------------
% 0.21/0.53  % (31269)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 (2999ds/191324Mi)
% 0.21/0.53  TRYING [1]
% 0.21/0.53  TRYING [2]
% 0.21/0.53  % (31283)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 (2999ds/68Mi)
% 0.21/0.53  % (31286)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.53  % (31291)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 (2999ds/498Mi)
% 0.21/0.53  TRYING [3]
% 0.21/0.54  TRYING [1]
% 0.21/0.54  TRYING [2]
% 0.21/0.54  % (31282)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54  % (31287)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (31295)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 (2999ds/68Mi)
% 0.21/0.54  % (31297)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.54  % (31293)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54  % (31275)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (31276)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54  % (31285)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 (2999ds/99Mi)
% 0.21/0.54  % (31278)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)
% 0.21/0.55  % (31288)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 (2999ds/100Mi)
% 0.21/0.55  % (31289)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 (2999ds/176Mi)
% 0.21/0.55  % (31296)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 (2999ds/177Mi)
% 0.21/0.55  % (31277)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55  % (31298)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)
% 0.21/0.55  % (31271)First to succeed.
% 0.21/0.55  % (31290)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55  TRYING [1]
% 0.21/0.55  TRYING [2]
% 0.21/0.55  % (31292)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 (2999ds/467Mi)
% 0.21/0.56  TRYING [3]
% 0.21/0.56  % (31281)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.56  % (31276)Instruction limit reached!
% 0.21/0.56  % (31276)------------------------------
% 0.21/0.56  % (31276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (31276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (31276)Termination reason: Unknown
% 0.21/0.56  % (31276)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (31276)Memory used [KB]: 5500
% 0.21/0.56  % (31276)Time elapsed: 0.130 s
% 0.21/0.56  % (31276)Instructions burned: 7 (million)
% 0.21/0.56  % (31276)------------------------------
% 0.21/0.56  % (31276)------------------------------
% 0.21/0.56  TRYING [4]
% 0.21/0.56  TRYING [3]
% 0.21/0.56  % (31277)Instruction limit reached!
% 0.21/0.56  % (31277)------------------------------
% 0.21/0.56  % (31277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (31277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (31277)Termination reason: Unknown
% 0.21/0.56  % (31277)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (31277)Memory used [KB]: 5373
% 0.21/0.56  % (31277)Time elapsed: 0.152 s
% 0.21/0.56  % (31277)Instructions burned: 3 (million)
% 0.21/0.56  % (31277)------------------------------
% 0.21/0.56  % (31277)------------------------------
% 0.21/0.56  % (31271)Refutation found. Thanks to Tanya!
% 0.21/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56  % (31271)------------------------------
% 0.21/0.56  % (31271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (31271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (31271)Termination reason: Refutation
% 0.21/0.56  
% 0.21/0.56  % (31271)Memory used [KB]: 1279
% 0.21/0.56  % (31271)Time elapsed: 0.138 s
% 0.21/0.56  % (31271)Instructions burned: 21 (million)
% 0.21/0.56  % (31271)------------------------------
% 0.21/0.56  % (31271)------------------------------
% 0.21/0.56  % (31268)Success in time 0.203 s
%------------------------------------------------------------------------------