TSTP Solution File: SYN622-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN622-1 : 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 : n013.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 19:39:06 EDT 2022

% Result   : Unsatisfiable 0.16s 0.60s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   36 (  29 unt;   0 def)
%            Number of atoms       :   47 (  12 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    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   9 con; 0-2 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1058,plain,
    $false,
    inference(subsumption_resolution,[],[f1056,f63]) ).

fof(f63,plain,
    ~ p8(sF19,sF20),
    inference(definition_folding,[],[f26,f62,f35,f61,f60,f43]) ).

fof(f43,plain,
    f13(c23) = sF6,
    introduced(function_definition,[]) ).

fof(f60,plain,
    f17(c28,c27) = sF18,
    introduced(function_definition,[]) ).

fof(f61,plain,
    sF19 = f12(sF6,sF18),
    introduced(function_definition,[]) ).

fof(f35,plain,
    f13(c26) = sF0,
    introduced(function_definition,[]) ).

fof(f62,plain,
    f12(sF0,c28) = sF20,
    introduced(function_definition,[]) ).

fof(f26,axiom,
    ~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_26) ).

fof(f1056,plain,
    p8(sF19,sF20),
    inference(resolution,[],[f1055,f216]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ~ p8(X1,X0)
      | p8(X0,X1) ),
    inference(resolution,[],[f21,f3]) ).

fof(f3,axiom,
    ! [X2] : p8(X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).

fof(f21,axiom,
    ! [X2,X29,X30] :
      ( ~ p8(X2,X30)
      | p8(X29,X30)
      | ~ p8(X2,X29) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_21) ).

fof(f1055,plain,
    p8(sF20,sF19),
    inference(forward_demodulation,[],[f1052,f74]) ).

fof(f74,plain,
    sF7(sF18) = sF19,
    inference(superposition,[],[f61,f44]) ).

fof(f44,plain,
    ! [X35] : f12(sF6,X35) = sF7(X35),
    introduced(function_definition,[]) ).

fof(f1052,plain,
    p8(sF20,sF7(sF18)),
    inference(resolution,[],[f1049,f262]) ).

fof(f262,plain,
    ! [X2,X1] :
      ( ~ p8(sF9(X2),X1)
      | p8(X1,sF7(X2)) ),
    inference(resolution,[],[f239,f21]) ).

fof(f239,plain,
    ! [X4] : p8(sF9(X4),sF7(X4)),
    inference(resolution,[],[f216,f47]) ).

fof(f47,plain,
    ! [X35] : p8(sF7(X35),sF9(X35)),
    inference(definition_folding,[],[f24,f46,f45,f35,f44,f43]) ).

fof(f45,plain,
    ! [X35] : f16(c27,X35) = sF8(X35),
    introduced(function_definition,[]) ).

fof(f46,plain,
    ! [X35] : f12(sF0,sF8(X35)) = sF9(X35),
    introduced(function_definition,[]) ).

fof(f24,axiom,
    ! [X35] : p8(f12(f13(c23),X35),f12(f13(c26),f16(c27,X35))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_24) ).

fof(f1049,plain,
    p8(sF9(sF18),sF20),
    inference(resolution,[],[f1045,f216]) ).

fof(f1045,plain,
    p8(sF20,sF9(sF18)),
    inference(resolution,[],[f1032,f295]) ).

fof(f295,plain,
    p8(c28,sF8(sF18)),
    inference(superposition,[],[f241,f288]) ).

fof(f288,plain,
    sF14(c27,c28) = sF8(sF18),
    inference(forward_demodulation,[],[f285,f45]) ).

fof(f285,plain,
    sF14(c27,c28) = f16(c27,sF18),
    inference(superposition,[],[f54,f60]) ).

fof(f54,plain,
    ! [X6,X5] : f16(X5,f17(X6,X5)) = sF14(X5,X6),
    introduced(function_definition,[]) ).

fof(f241,plain,
    ! [X6,X7] : p8(X6,sF14(X7,X6)),
    inference(resolution,[],[f216,f55]) ).

fof(f55,plain,
    ! [X6,X5] : p8(sF14(X5,X6),X6),
    inference(definition_folding,[],[f8,f54]) ).

fof(f8,axiom,
    ! [X6,X5] : p8(f16(X5,f17(X6,X5)),X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_8) ).

fof(f1032,plain,
    ! [X2] :
      ( ~ p8(c28,sF8(X2))
      | p8(sF20,sF9(X2)) ),
    inference(subsumption_resolution,[],[f1025,f1]) ).

fof(f1,axiom,
    ! [X0] : p11(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_1) ).

fof(f1025,plain,
    ! [X2] :
      ( p8(sF20,sF9(X2))
      | ~ p8(c28,sF8(X2))
      | ~ p11(sF0,sF0) ),
    inference(superposition,[],[f378,f46]) ).

fof(f378,plain,
    ! [X6,X5] :
      ( p8(sF20,f12(X5,X6))
      | ~ p11(sF0,X5)
      | ~ p8(c28,X6) ),
    inference(superposition,[],[f31,f62]) ).

fof(f31,axiom,
    ! [X56,X54,X55,X53] :
      ( p8(f12(X53,X54),f12(X55,X56))
      | ~ p11(X53,X55)
      | ~ p8(X54,X56) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_31) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14  % Problem    : SYN622-1 : TPTP v8.1.0. Released v2.5.0.
% 0.05/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.35  % Computer : n013.cluster.edu
% 0.11/0.35  % Model    : x86_64 x86_64
% 0.11/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35  % Memory   : 8042.1875MB
% 0.11/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35  % CPULimit   : 300
% 0.11/0.35  % WCLimit    : 300
% 0.11/0.35  % DateTime   : Tue Aug 30 22:08:17 EDT 2022
% 0.11/0.35  % CPUTime    : 
% 0.16/0.46  % (4959)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)
% 0.16/0.46  % (4967)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)
% 0.16/0.50  % (4966)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.51  % (4958)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.53  % (4973)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.53  % (4974)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)
% 0.16/0.53  % (4965)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)
% 0.16/0.54  % (4957)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.55  % (4959)Instruction limit reached!
% 0.16/0.55  % (4959)------------------------------
% 0.16/0.55  % (4959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55  % (4959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55  % (4959)Termination reason: Unknown
% 0.16/0.55  % (4959)Termination phase: Saturation
% 0.16/0.55  
% 0.16/0.55  % (4959)Memory used [KB]: 6652
% 0.16/0.55  % (4959)Time elapsed: 0.046 s
% 0.16/0.55  % (4959)Instructions burned: 68 (million)
% 0.16/0.55  % (4959)------------------------------
% 0.16/0.55  % (4959)------------------------------
% 0.16/0.56  % (4953)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.56  % (4951)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)
% 0.16/0.56  % (4953)Instruction limit reached!
% 0.16/0.56  % (4953)------------------------------
% 0.16/0.56  % (4953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56  % (4953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56  % (4953)Termination reason: Unknown
% 0.16/0.56  % (4953)Termination phase: Saturation
% 0.16/0.56  
% 0.16/0.56  % (4953)Memory used [KB]: 5373
% 0.16/0.56  % (4953)Time elapsed: 0.151 s
% 0.16/0.56  % (4953)Instructions burned: 3 (million)
% 0.16/0.56  % (4953)------------------------------
% 0.16/0.56  % (4953)------------------------------
% 0.16/0.56  TRYING [1]
% 0.16/0.56  TRYING [2]
% 0.16/0.56  % (4948)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)
% 0.16/0.57  % (4972)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)
% 0.16/0.57  % (4969)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.58  % (4963)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.58  % (4961)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)
% 0.16/0.58  % (4956)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)
% 0.16/0.58  % (4955)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.59  % (4949)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.59  % (4950)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)
% 0.16/0.59  TRYING [3]
% 0.16/0.60  % (4971)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)
% 0.16/0.60  % (4958)First to succeed.
% 0.16/0.60  % (4958)Refutation found. Thanks to Tanya!
% 0.16/0.60  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.60  % (4958)------------------------------
% 0.16/0.60  % (4958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.60  % (4958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.60  % (4958)Termination reason: Refutation
% 0.16/0.60  
% 0.16/0.60  % (4958)Memory used [KB]: 5884
% 0.16/0.60  % (4958)Time elapsed: 0.189 s
% 0.16/0.60  % (4958)Instructions burned: 41 (million)
% 0.16/0.60  % (4958)------------------------------
% 0.16/0.60  % (4958)------------------------------
% 0.16/0.60  % (4944)Success in time 0.241 s
%------------------------------------------------------------------------------