TSTP Solution File: SYN608-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN608-1 : 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 : n017.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 19:39:03 EDT 2022

% Result   : Unsatisfiable 1.91s 0.59s
% Output   : Refutation 1.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   40 (  27 unt;   0 def)
%            Number of atoms       :   60 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   43 (  23   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  14 con; 0-2 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1011,plain,
    $false,
    inference(subsumption_resolution,[],[f1010,f893]) ).

fof(f893,plain,
    ! [X0] : ~ p3(sF4,sF18(X0)),
    inference(subsumption_resolution,[],[f891,f56]) ).

fof(f56,plain,
    ! [X49] : ~ p17(sF19(X49),sF8),
    inference(definition_folding,[],[f29,f39,f38,f37,f55,f54,f53,f33,f32,f31]) ).

fof(f31,plain,
    f9(c19) = sF0,
    introduced(function_definition,[]) ).

fof(f32,plain,
    sF1 = f4(sF0),
    introduced(function_definition,[]) ).

fof(f33,plain,
    sF2 = f14(sF1,c19),
    introduced(function_definition,[]) ).

fof(f53,plain,
    ! [X49] : f12(X49,c21) = sF17(X49),
    introduced(function_definition,[]) ).

fof(f54,plain,
    ! [X49] : sF18(X49) = f10(sF2,sF17(X49)),
    introduced(function_definition,[]) ).

fof(f55,plain,
    ! [X49] : sF19(X49) = f9(sF18(X49)),
    introduced(function_definition,[]) ).

fof(f37,plain,
    f8(c20) = sF6,
    introduced(function_definition,[]) ).

fof(f38,plain,
    f7(sF6) = sF7,
    introduced(function_definition,[]) ).

fof(f39,plain,
    f6(sF7) = sF8,
    introduced(function_definition,[]) ).

fof(f29,axiom,
    ! [X49] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X49,c21))),f6(f7(f8(c20)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_29) ).

fof(f891,plain,
    ! [X0] :
      ( ~ p3(sF4,sF18(X0))
      | p17(sF19(X0),sF8) ),
    inference(superposition,[],[f844,f55]) ).

fof(f844,plain,
    ! [X1] :
      ( p17(f9(X1),sF8)
      | ~ p3(sF4,X1) ),
    inference(resolution,[],[f834,f135]) ).

fof(f135,plain,
    ! [X1] :
      ( p2(sF5,f9(X1))
      | ~ p3(sF4,X1) ),
    inference(superposition,[],[f12,f36]) ).

fof(f36,plain,
    f9(sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f12,axiom,
    ! [X10,X9] :
      ( p2(f9(X9),f9(X10))
      | ~ p3(X9,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).

fof(f834,plain,
    ! [X4] :
      ( ~ p2(sF5,X4)
      | p17(X4,sF8) ),
    inference(resolution,[],[f392,f2]) ).

fof(f2,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).

fof(f392,plain,
    ! [X0,X1] :
      ( ~ p2(sF8,X0)
      | ~ p2(sF5,X1)
      | p17(X1,X0) ),
    inference(resolution,[],[f20,f40]) ).

fof(f40,plain,
    p17(sF5,sF8),
    inference(definition_folding,[],[f27,f39,f38,f37,f36,f35,f34,f33,f32,f31]) ).

fof(f34,plain,
    f15(c22) = sF3,
    introduced(function_definition,[]) ).

fof(f35,plain,
    sF4 = f10(sF2,sF3),
    introduced(function_definition,[]) ).

fof(f27,axiom,
    p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_27) ).

fof(f20,axiom,
    ! [X28,X26,X27,X25] :
      ( ~ p17(X27,X28)
      | ~ p2(X28,X26)
      | ~ p2(X27,X25)
      | p17(X25,X26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_20) ).

fof(f1010,plain,
    p3(sF4,sF18(c22)),
    inference(subsumption_resolution,[],[f1009,f362]) ).

fof(f362,plain,
    p3(sF3,sF11),
    inference(resolution,[],[f325,f45]) ).

fof(f45,plain,
    p3(sF11,sF3),
    inference(definition_folding,[],[f6,f34,f44]) ).

fof(f44,plain,
    f12(c22,c21) = sF11,
    introduced(function_definition,[]) ).

fof(f6,axiom,
    p3(f12(c22,c21),f15(c22)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).

fof(f325,plain,
    ! [X0,X1] :
      ( ~ p3(X1,X0)
      | p3(X0,X1) ),
    inference(resolution,[],[f19,f4]) ).

fof(f4,axiom,
    ! [X2] : p3(X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).

fof(f19,axiom,
    ! [X2,X24,X23] :
      ( ~ p3(X2,X24)
      | p3(X23,X24)
      | ~ p3(X2,X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_19) ).

fof(f1009,plain,
    ( ~ p3(sF3,sF11)
    | p3(sF4,sF18(c22)) ),
    inference(subsumption_resolution,[],[f997,f4]) ).

fof(f997,plain,
    ( ~ p3(sF2,sF2)
    | p3(sF4,sF18(c22))
    | ~ p3(sF3,sF11) ),
    inference(superposition,[],[f500,f83]) ).

fof(f83,plain,
    sF18(c22) = f10(sF2,sF11),
    inference(superposition,[],[f54,f74]) ).

fof(f74,plain,
    sF11 = sF17(c22),
    inference(superposition,[],[f53,f44]) ).

fof(f500,plain,
    ! [X0,X1] :
      ( p3(sF4,f10(X0,X1))
      | ~ p3(sF2,X0)
      | ~ p3(sF3,X1) ),
    inference(superposition,[],[f24,f35]) ).

fof(f24,axiom,
    ! [X40,X38,X39,X37] :
      ( p3(f10(X37,X38),f10(X39,X40))
      | ~ p3(X38,X40)
      | ~ p3(X37,X39) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_24) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN608-1 : 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
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 21:35:05 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.49  % (27120)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)
% 0.20/0.49  % (27128)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)
% 0.20/0.49  % (27132)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)
% 0.20/0.50  % (27116)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (27116)Instruction limit reached!
% 0.20/0.50  % (27116)------------------------------
% 0.20/0.50  % (27116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (27116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (27116)Termination reason: Unknown
% 0.20/0.50  % (27116)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (27116)Memory used [KB]: 5500
% 0.20/0.50  % (27116)Time elapsed: 0.111 s
% 0.20/0.50  % (27116)Instructions burned: 8 (million)
% 0.20/0.50  % (27116)------------------------------
% 0.20/0.50  % (27116)------------------------------
% 0.20/0.50  % (27109)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)
% 0.20/0.50  % (27111)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)
% 0.20/0.50  % (27113)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (27114)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)
% 0.20/0.50  % (27115)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)
% 0.20/0.50  % (27117)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  TRYING [2]
% 0.20/0.51  TRYING [1]
% 0.20/0.51  % (27136)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)
% 0.20/0.51  TRYING [2]
% 0.20/0.51  % (27123)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)
% 0.20/0.51  % (27112)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)
% 0.20/0.51  TRYING [3]
% 0.20/0.51  % (27131)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)
% 0.20/0.52  % (27110)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)
% 0.20/0.52  % (27110)Refutation not found, incomplete strategy% (27110)------------------------------
% 0.20/0.52  % (27110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (27110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (27110)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (27110)Memory used [KB]: 5373
% 0.20/0.52  % (27110)Time elapsed: 0.129 s
% 0.20/0.52  % (27110)Instructions burned: 3 (million)
% 0.20/0.52  % (27110)------------------------------
% 0.20/0.52  % (27110)------------------------------
% 0.20/0.52  % (27118)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)
% 0.20/0.52  % (27134)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52  % (27135)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)
% 0.20/0.52  % (27137)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  % (27138)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)
% 0.20/0.53  % (27117)Instruction limit reached!
% 0.20/0.53  % (27117)------------------------------
% 0.20/0.53  % (27117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (27117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (27117)Termination reason: Unknown
% 0.20/0.53  % (27117)Termination phase: Blocked clause elimination
% 0.20/0.53  
% 0.20/0.53  % (27117)Memory used [KB]: 895
% 0.20/0.53  % (27117)Time elapsed: 0.002 s
% 0.20/0.53  % (27117)Instructions burned: 2 (million)
% 0.20/0.53  % (27117)------------------------------
% 0.20/0.53  % (27117)------------------------------
% 0.20/0.53  % (27119)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (27133)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  TRYING [3]
% 0.20/0.53  % (27126)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (27129)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)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (27130)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  TRYING [3]
% 0.20/0.54  TRYING [4]
% 0.20/0.54  % (27125)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)
% 0.20/0.54  % (27127)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (27121)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (27122)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (27124)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)
% 0.20/0.56  % (27111)Instruction limit reached!
% 0.20/0.56  % (27111)------------------------------
% 0.20/0.56  % (27111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.57  TRYING [4]
% 1.75/0.57  % (27111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.57  % (27111)Termination reason: Unknown
% 1.75/0.57  % (27111)Termination phase: Saturation
% 1.75/0.57  
% 1.75/0.57  % (27111)Memory used [KB]: 1279
% 1.75/0.57  % (27111)Time elapsed: 0.174 s
% 1.75/0.57  % (27111)Instructions burned: 37 (million)
% 1.75/0.57  % (27111)------------------------------
% 1.75/0.57  % (27111)------------------------------
% 1.75/0.57  TRYING [4]
% 1.75/0.58  % (27115)Instruction limit reached!
% 1.75/0.58  % (27115)------------------------------
% 1.75/0.58  % (27115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58  % (27115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58  % (27115)Termination reason: Unknown
% 1.75/0.58  % (27115)Termination phase: Finite model building constraint generation
% 1.75/0.58  
% 1.75/0.58  % (27115)Memory used [KB]: 7036
% 1.75/0.58  % (27115)Time elapsed: 0.147 s
% 1.75/0.58  % (27115)Instructions burned: 51 (million)
% 1.75/0.58  % (27115)------------------------------
% 1.75/0.58  % (27115)------------------------------
% 1.91/0.59  % (27134)First to succeed.
% 1.91/0.59  % (27114)Instruction limit reached!
% 1.91/0.59  % (27114)------------------------------
% 1.91/0.59  % (27114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.59  % (27114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.59  % (27114)Termination reason: Unknown
% 1.91/0.59  % (27114)Termination phase: Saturation
% 1.91/0.59  
% 1.91/0.59  % (27114)Memory used [KB]: 5756
% 1.91/0.59  % (27114)Time elapsed: 0.193 s
% 1.91/0.59  % (27114)Instructions burned: 48 (million)
% 1.91/0.59  % (27114)------------------------------
% 1.91/0.59  % (27114)------------------------------
% 1.91/0.59  % (27134)Refutation found. Thanks to Tanya!
% 1.91/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.91/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.59  % (27134)------------------------------
% 1.91/0.59  % (27134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.59  % (27134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.59  % (27134)Termination reason: Refutation
% 1.91/0.59  
% 1.91/0.59  % (27134)Memory used [KB]: 5884
% 1.91/0.59  % (27134)Time elapsed: 0.199 s
% 1.91/0.59  % (27134)Instructions burned: 36 (million)
% 1.91/0.59  % (27134)------------------------------
% 1.91/0.59  % (27134)------------------------------
% 1.91/0.59  % (27108)Success in time 0.242 s
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