TSTP Solution File: SWW417-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW417-1 : TPTP v8.1.0. Released v5.2.0.
% 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 : n016.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 19:19:20 EDT 2022

% Result   : Unsatisfiable 0.18s 0.54s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (  11 unt;   0 def)
%            Number of atoms       :   19 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   5   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f440,plain,
    $false,
    inference(subsumption_resolution,[],[f439,f18]) ).

fof(f18,plain,
    ~ heap(sF1),
    inference(definition_folding,[],[f15,f17,f16]) ).

fof(f16,plain,
    lseg(x1,nil) = sF0,
    introduced(function_definition,[]) ).

fof(f17,plain,
    sF1 = sep(sF0,emp),
    introduced(function_definition,[]) ).

fof(f15,axiom,
    ~ heap(sep(lseg(x1,nil),emp)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).

fof(f439,plain,
    heap(sF1),
    inference(forward_demodulation,[],[f438,f17]) ).

fof(f438,plain,
    heap(sep(sF0,emp)),
    inference(forward_demodulation,[],[f437,f16]) ).

fof(f437,plain,
    heap(sep(lseg(x1,nil),emp)),
    inference(subsumption_resolution,[],[f426,f13]) ).

fof(f13,axiom,
    x1 != x2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).

fof(f426,plain,
    ( heap(sep(lseg(x1,nil),emp))
    | x1 = x2 ),
    inference(resolution,[],[f97,f14]) ).

fof(f14,axiom,
    heap(sep(lseg(x2,nil),sep(next(x1,x2),emp))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).

fof(f97,plain,
    ! [X2,X3,X0,X1] :
      ( ~ heap(sep(lseg(X1,X2),sep(next(X0,X1),X3)))
      | X0 = X1
      | heap(sep(lseg(X0,X2),X3)) ),
    inference(superposition,[],[f8,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_commutative) ).

fof(f8,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2)))
      | heap(sep(lseg(X3,X5),X2))
      | X3 = X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unfolding_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWW417-1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 20:58:31 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (16352)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)
% 0.18/0.48  % (16359)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.49  % (16375)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.49  % (16359)Instruction limit reached!
% 0.18/0.49  % (16359)------------------------------
% 0.18/0.49  % (16359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (16359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (16359)Termination reason: Unknown
% 0.18/0.49  % (16359)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (16359)Memory used [KB]: 895
% 0.18/0.49  % (16359)Time elapsed: 0.003 s
% 0.18/0.49  % (16359)Instructions burned: 2 (million)
% 0.18/0.49  % (16359)------------------------------
% 0.18/0.49  % (16359)------------------------------
% 0.18/0.49  % (16378)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)
% 0.18/0.50  % (16355)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (16365)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)
% 0.18/0.50  % (16361)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50  % (16358)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50  % (16353)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)
% 0.18/0.50  % (16369)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51  % (16377)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)
% 0.18/0.51  % (16351)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)
% 0.18/0.51  % (16356)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)
% 0.18/0.51  % (16360)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)
% 0.18/0.51  TRYING [1]
% 0.18/0.51  TRYING [2]
% 0.18/0.52  % (16380)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)
% 0.18/0.52  % (16362)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)
% 0.18/0.52  % (16366)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)
% 0.18/0.52  % (16368)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52  % (16364)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52  % (16374)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)
% 0.18/0.52  % (16376)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52  % (16354)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)
% 0.18/0.52  % (16358)Instruction limit reached!
% 0.18/0.52  % (16358)------------------------------
% 0.18/0.52  % (16358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (16358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (16358)Termination reason: Unknown
% 0.18/0.52  % (16358)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (16358)Memory used [KB]: 5500
% 0.18/0.52  % (16358)Time elapsed: 0.113 s
% 0.18/0.52  % (16358)Instructions burned: 9 (million)
% 0.18/0.52  % (16358)------------------------------
% 0.18/0.52  % (16358)------------------------------
% 0.18/0.53  % (16373)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)
% 0.18/0.53  % (16371)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)
% 0.18/0.53  TRYING [3]
% 0.18/0.53  % (16367)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)
% 0.18/0.53  % (16379)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53  % (16363)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54  % (16357)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)
% 0.18/0.54  TRYING [1]
% 0.18/0.54  TRYING [2]
% 0.18/0.54  % (16372)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.54  % (16370)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)
% 0.18/0.54  % (16375)First to succeed.
% 0.18/0.54  TRYING [1]
% 0.18/0.54  TRYING [2]
% 0.18/0.54  % (16352)Instruction limit reached!
% 0.18/0.54  % (16352)------------------------------
% 0.18/0.54  % (16352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (16375)Refutation found. Thanks to Tanya!
% 0.18/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.54  % (16375)------------------------------
% 0.18/0.54  % (16375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (16375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (16375)Termination reason: Refutation
% 0.18/0.54  
% 0.18/0.54  % (16375)Memory used [KB]: 6268
% 0.18/0.54  % (16375)Time elapsed: 0.135 s
% 0.18/0.54  % (16375)Instructions burned: 43 (million)
% 0.18/0.54  % (16375)------------------------------
% 0.18/0.54  % (16375)------------------------------
% 0.18/0.54  % (16350)Success in time 0.203 s
%------------------------------------------------------------------------------