TSTP Solution File: SYN587-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN587-1 : 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 : n015.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 19:38:59 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   28 (  19 unt;   0 def)
%            Number of atoms       :   44 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   34 (  18   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  14 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f342,plain,
    $false,
    inference(subsumption_resolution,[],[f341,f34]) ).

fof(f34,plain,
    ~ p15(sF6,c20),
    inference(definition_folding,[],[f19,f33,f32,f31,f30,f29,f28,f27]) ).

fof(f27,plain,
    f10(c16) = sF0,
    introduced(function_definition,[]) ).

fof(f28,plain,
    f9(c17) = sF1,
    introduced(function_definition,[]) ).

fof(f29,plain,
    sF2 = f8(sF1),
    introduced(function_definition,[]) ).

fof(f30,plain,
    f7(sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f31,plain,
    sF4 = f6(sF3,c18),
    introduced(function_definition,[]) ).

fof(f32,plain,
    f6(sF0,sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f33,plain,
    f4(sF5,c21) = sF6,
    introduced(function_definition,[]) ).

fof(f19,axiom,
    ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_19) ).

fof(f341,plain,
    p15(sF6,c20),
    inference(resolution,[],[f286,f4]) ).

fof(f4,axiom,
    ! [X3] : p2(X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

fof(f286,plain,
    ! [X0] :
      ( ~ p2(c20,X0)
      | p15(sF6,X0) ),
    inference(resolution,[],[f248,f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ p2(sF8,X1)
      | ~ p2(c20,X0)
      | p15(X1,X0) ),
    inference(resolution,[],[f17,f39]) ).

fof(f39,plain,
    p15(sF8,c20),
    inference(definition_folding,[],[f18,f38,f32,f31,f30,f29,f28,f27]) ).

fof(f38,plain,
    sF8 = f4(sF5,c19),
    introduced(function_definition,[]) ).

fof(f18,axiom,
    p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_18) ).

fof(f17,axiom,
    ! [X26,X27,X24,X25] :
      ( ~ p15(X26,X27)
      | ~ p2(X27,X25)
      | ~ p2(X26,X24)
      | p15(X24,X25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_17) ).

fof(f248,plain,
    p2(sF8,sF6),
    inference(subsumption_resolution,[],[f247,f95]) ).

fof(f95,plain,
    p3(c19,c21),
    inference(resolution,[],[f81,f5]) ).

fof(f5,axiom,
    p3(c21,c19),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ p3(X0,X1)
      | p3(X1,X0) ),
    inference(resolution,[],[f15,f3]) ).

fof(f3,axiom,
    ! [X2] : p3(X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).

fof(f15,axiom,
    ! [X2,X21,X20] :
      ( ~ p3(X2,X21)
      | ~ p3(X2,X20)
      | p3(X20,X21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_15) ).

fof(f247,plain,
    ( p2(sF8,sF6)
    | ~ p3(c19,c21) ),
    inference(subsumption_resolution,[],[f244,f4]) ).

fof(f244,plain,
    ( ~ p2(sF5,sF5)
    | ~ p3(c19,c21)
    | p2(sF8,sF6) ),
    inference(superposition,[],[f102,f33]) ).

fof(f102,plain,
    ! [X2,X3] :
      ( p2(sF8,f4(X2,X3))
      | ~ p2(sF5,X2)
      | ~ p3(c19,X3) ),
    inference(superposition,[],[f20,f38]) ).

fof(f20,axiom,
    ! [X31,X28,X29,X30] :
      ( p2(f4(X28,X29),f4(X30,X31))
      | ~ p3(X29,X31)
      | ~ p2(X28,X30) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN587-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % 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 : n015.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 22:20:51 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.50  % (9897)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)
% 0.19/0.50  % (9887)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (9889)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)
% 0.19/0.51  % (9874)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)
% 0.19/0.51  % (9877)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)
% 0.19/0.51  % (9878)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (9898)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51  % (9882)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (9882)Instruction limit reached!
% 0.19/0.51  % (9882)------------------------------
% 0.19/0.51  % (9882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (9882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (9882)Termination reason: Unknown
% 0.19/0.51  % (9882)Termination phase: Blocked clause elimination
% 0.19/0.51  
% 0.19/0.51  % (9882)Memory used [KB]: 895
% 0.19/0.51  % (9882)Time elapsed: 0.002 s
% 0.19/0.51  % (9882)Instructions burned: 2 (million)
% 0.19/0.51  % (9882)------------------------------
% 0.19/0.51  % (9882)------------------------------
% 0.19/0.52  % (9883)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)
% 0.19/0.52  % (9879)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)
% 0.19/0.52  % (9903)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)
% 0.19/0.52  % (9901)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)
% 0.19/0.52  % (9881)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (9894)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)
% 0.19/0.52  % (9902)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (9893)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)
% 0.19/0.52  % (9881)Instruction limit reached!
% 0.19/0.52  % (9881)------------------------------
% 0.19/0.52  % (9881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9875)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)
% 0.19/0.52  % (9876)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)
% 0.19/0.52  % (9875)Refutation not found, incomplete strategy% (9875)------------------------------
% 0.19/0.52  % (9875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9884)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (9898)First to succeed.
% 0.19/0.53  % (9875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9875)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (9875)Memory used [KB]: 5373
% 0.19/0.53  % (9875)Time elapsed: 0.131 s
% 0.19/0.53  % (9875)Instructions burned: 2 (million)
% 0.19/0.53  % (9875)------------------------------
% 0.19/0.53  % (9875)------------------------------
% 0.19/0.53  % (9895)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (9888)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)
% 0.19/0.53  % (9901)Also succeeded, but the first one will report.
% 0.19/0.53  % (9900)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)
% 0.19/0.53  % (9881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9881)Termination reason: Unknown
% 0.19/0.53  % (9881)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (9881)Memory used [KB]: 5500
% 0.19/0.53  % (9881)Time elapsed: 0.127 s
% 0.19/0.53  % (9881)Instructions burned: 8 (million)
% 0.19/0.53  % (9881)------------------------------
% 0.19/0.53  % (9881)------------------------------
% 0.19/0.53  % (9899)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53  % (9889)Also succeeded, but the first one will report.
% 0.19/0.53  % (9885)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)
% 0.19/0.53  % (9886)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (9898)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (9898)------------------------------
% 0.19/0.53  % (9898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9898)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (9898)Memory used [KB]: 5628
% 0.19/0.53  % (9898)Time elapsed: 0.093 s
% 0.19/0.53  % (9898)Instructions burned: 14 (million)
% 0.19/0.53  % (9898)------------------------------
% 0.19/0.53  % (9898)------------------------------
% 0.19/0.53  % (9873)Success in time 0.187 s
%------------------------------------------------------------------------------