TSTP Solution File: SYN698-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN698-1 : 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 : n001.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 19:39:18 EDT 2022

% Result   : Unsatisfiable 1.74s 0.60s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   33 (  25 unt;   0 def)
%            Number of atoms       :   44 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  13   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  13 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f766,plain,
    $false,
    inference(subsumption_resolution,[],[f763,f129]) ).

fof(f129,plain,
    ~ p2(sF30,sF14),
    inference(definition_folding,[],[f57,f95,f94,f93,f83,f82,f128,f127]) ).

fof(f127,plain,
    f4(c46) = sF29,
    introduced(function_definition,[]) ).

fof(f128,plain,
    sF30 = f11(sF29,c43),
    introduced(function_definition,[]) ).

fof(f82,plain,
    f20(c37) = sF5,
    introduced(function_definition,[]) ).

fof(f83,plain,
    sF6 = f9(sF5),
    introduced(function_definition,[]) ).

fof(f93,plain,
    f23(c44,sF6) = sF12,
    introduced(function_definition,[]) ).

fof(f94,plain,
    sF13 = f4(sF12),
    introduced(function_definition,[]) ).

fof(f95,plain,
    sF14 = f11(sF13,c43),
    introduced(function_definition,[]) ).

fof(f57,axiom,
    ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_57) ).

fof(f763,plain,
    p2(sF30,sF14),
    inference(resolution,[],[f761,f195]) ).

fof(f195,plain,
    ! [X0] :
      ( ~ p2(sF16,X0)
      | p2(X0,sF14) ),
    inference(resolution,[],[f184,f43]) ).

fof(f43,axiom,
    ! [X44,X45,X5] :
      ( ~ p2(X5,X45)
      | ~ p2(X5,X44)
      | p2(X44,X45) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_43) ).

fof(f184,plain,
    p2(sF16,sF14),
    inference(resolution,[],[f165,f98]) ).

fof(f98,plain,
    p2(sF14,sF16),
    inference(definition_folding,[],[f56,f97,f96,f95,f94,f93,f83,f82]) ).

fof(f96,plain,
    f4(c44) = sF15,
    introduced(function_definition,[]) ).

fof(f97,plain,
    sF16 = f11(sF15,c43),
    introduced(function_definition,[]) ).

fof(f56,axiom,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_56) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f43,f12]) ).

fof(f12,axiom,
    ! [X5] : p2(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

fof(f761,plain,
    p2(sF16,sF30),
    inference(resolution,[],[f756,f165]) ).

fof(f756,plain,
    p2(sF30,sF16),
    inference(forward_demodulation,[],[f754,f128]) ).

fof(f754,plain,
    p2(f11(sF29,c43),sF16),
    inference(resolution,[],[f682,f433]) ).

fof(f433,plain,
    p3(sF29,sF15),
    inference(forward_demodulation,[],[f431,f127]) ).

fof(f431,plain,
    p3(f4(c46),sF15),
    inference(resolution,[],[f342,f179]) ).

fof(f179,plain,
    p2(c46,c44),
    inference(resolution,[],[f165,f18]) ).

fof(f18,axiom,
    p2(c44,c46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).

fof(f342,plain,
    ! [X3] :
      ( ~ p2(X3,c44)
      | p3(f4(X3),sF15) ),
    inference(superposition,[],[f37,f96]) ).

fof(f37,axiom,
    ! [X32,X33] :
      ( p3(f4(X32),f4(X33))
      | ~ p2(X32,X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_37) ).

fof(f682,plain,
    ! [X0] :
      ( ~ p3(X0,sF15)
      | p2(f11(X0,c43),sF16) ),
    inference(resolution,[],[f411,f7]) ).

fof(f7,axiom,
    ! [X0] : p10(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).

fof(f411,plain,
    ! [X0,X1] :
      ( ~ p10(X1,c43)
      | ~ p3(X0,sF15)
      | p2(f11(X0,X1),sF16) ),
    inference(superposition,[],[f62,f97]) ).

fof(f62,axiom,
    ! [X82,X83,X84,X85] :
      ( p2(f11(X82,X83),f11(X84,X85))
      | ~ p10(X83,X85)
      | ~ p3(X82,X84) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_62) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN698-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n001.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 23:45:32 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  % (15864)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  % (15880)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)
% 0.19/0.52  % (15872)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)
% 0.19/0.53  % (15878)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  % (15858)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)
% 0.19/0.53  % (15860)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)
% 0.19/0.53  % (15861)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (15881)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (15864)Instruction limit reached!
% 0.19/0.53  % (15864)------------------------------
% 0.19/0.53  % (15864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15859)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)
% 0.19/0.53  % (15868)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  % (15865)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (15867)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  % (15870)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (15873)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)
% 0.19/0.53  % (15865)Instruction limit reached!
% 0.19/0.53  % (15865)------------------------------
% 0.19/0.53  % (15865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15886)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)
% 0.19/0.53  % (15865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (15865)Termination reason: Unknown
% 0.19/0.53  % (15865)Termination phase: Blocked clause elimination
% 0.19/0.53  
% 0.19/0.53  % (15865)Memory used [KB]: 1023
% 0.19/0.53  % (15865)Time elapsed: 0.003 s
% 0.19/0.53  % (15865)Instructions burned: 2 (million)
% 0.19/0.53  % (15865)------------------------------
% 0.19/0.53  % (15865)------------------------------
% 0.19/0.53  % (15858)Refutation not found, incomplete strategy% (15858)------------------------------
% 0.19/0.53  % (15858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15866)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)
% 0.19/0.53  % (15858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (15858)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (15858)Memory used [KB]: 5500
% 0.19/0.53  % (15858)Time elapsed: 0.120 s
% 0.19/0.53  % (15858)Instructions burned: 4 (million)
% 0.19/0.53  % (15858)------------------------------
% 0.19/0.53  % (15858)------------------------------
% 0.19/0.54  % (15863)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)
% 0.19/0.54  % (15882)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (15884)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)
% 0.19/0.54  % (15879)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)
% 0.19/0.54  % (15857)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)
% 0.19/0.54  % (15883)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)
% 0.19/0.54  % (15862)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)
% 0.19/0.55  % (15871)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)
% 0.19/0.55  % (15864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (15864)Termination reason: Unknown
% 0.19/0.55  % (15864)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (15864)Memory used [KB]: 5500
% 0.19/0.55  % (15864)Time elapsed: 0.117 s
% 0.19/0.55  % (15864)Instructions burned: 7 (million)
% 0.19/0.55  % (15864)------------------------------
% 0.19/0.55  % (15864)------------------------------
% 0.19/0.55  % (15875)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55  % (15885)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55  % (15876)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)
% 0.19/0.55  % (15874)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56  % (15869)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.56  TRYING [1]
% 1.62/0.56  % (15877)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)
% 1.62/0.56  TRYING [1]
% 1.62/0.56  TRYING [2]
% 1.62/0.56  TRYING [1]
% 1.62/0.57  TRYING [2]
% 1.74/0.58  TRYING [2]
% 1.74/0.58  TRYING [3]
% 1.74/0.59  TRYING [3]
% 1.74/0.59  TRYING [3]
% 1.74/0.59  % (15872)First to succeed.
% 1.74/0.60  % (15872)Refutation found. Thanks to Tanya!
% 1.74/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.74/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.74/0.60  % (15872)------------------------------
% 1.74/0.60  % (15872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.60  % (15872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.60  % (15872)Termination reason: Refutation
% 1.74/0.60  
% 1.74/0.60  % (15872)Memory used [KB]: 1407
% 1.74/0.60  % (15872)Time elapsed: 0.188 s
% 1.74/0.60  % (15872)Instructions burned: 37 (million)
% 1.74/0.60  % (15872)------------------------------
% 1.74/0.60  % (15872)------------------------------
% 1.74/0.60  % (15856)Success in time 0.248 s
%------------------------------------------------------------------------------