TSTP Solution File: SYN665-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN665-1 : 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 : n021.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 19:39:13 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   27 (  20 unt;   0 def)
%            Number of atoms       :   38 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  14   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  12 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f339,plain,
    $false,
    inference(subsumption_resolution,[],[f336,f267]) ).

fof(f267,plain,
    p2(sF15,sF16),
    inference(resolution,[],[f264,f112]) ).

fof(f112,plain,
    ! [X12] :
      ( ~ p2(sF14,X12)
      | p2(X12,sF16) ),
    inference(resolution,[],[f31,f77]) ).

fof(f77,plain,
    p2(sF14,sF16),
    inference(definition_folding,[],[f40,f76,f59,f58,f75,f67,f74,f73]) ).

fof(f73,plain,
    f4(c32) = sF13,
    introduced(function_definition,[]) ).

fof(f74,plain,
    f11(sF13,c34) = sF14,
    introduced(function_definition,[]) ).

fof(f67,plain,
    f4(c36) = sF8,
    introduced(function_definition,[]) ).

fof(f75,plain,
    f11(sF8,c34) = sF15,
    introduced(function_definition,[]) ).

fof(f58,plain,
    f17(c31) = sF1,
    introduced(function_definition,[]) ).

fof(f59,plain,
    sF2 = f9(sF1),
    introduced(function_definition,[]) ).

fof(f76,plain,
    f16(sF15,sF2) = sF16,
    introduced(function_definition,[]) ).

fof(f40,axiom,
    p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_40) ).

fof(f31,axiom,
    ! [X34,X5,X33] :
      ( ~ p2(X5,X34)
      | ~ p2(X5,X33)
      | p2(X33,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_31) ).

fof(f264,plain,
    p2(sF14,sF15),
    inference(resolution,[],[f263,f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f31,f7]) ).

fof(f7,axiom,
    ! [X5] : p2(X5,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).

fof(f263,plain,
    p2(sF15,sF14),
    inference(forward_demodulation,[],[f262,f75]) ).

fof(f262,plain,
    p2(f11(sF8,c34),sF14),
    inference(subsumption_resolution,[],[f261,f13]) ).

fof(f13,axiom,
    p25(c32,c36),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_13) ).

fof(f261,plain,
    ( p2(f11(sF8,c34),sF14)
    | ~ p25(c32,c36) ),
    inference(subsumption_resolution,[],[f258,f12]) ).

fof(f12,axiom,
    p25(c36,c33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_12) ).

fof(f258,plain,
    ( ~ p25(c36,c33)
    | ~ p25(c32,c36)
    | p2(f11(sF8,c34),sF14) ),
    inference(superposition,[],[f78,f67]) ).

fof(f78,plain,
    ! [X81] :
      ( p2(f11(f4(X81),c34),sF14)
      | ~ p25(c32,X81)
      | ~ p25(X81,c33) ),
    inference(definition_folding,[],[f49,f74,f73]) ).

fof(f49,axiom,
    ! [X81] :
      ( ~ p25(X81,c33)
      | p2(f11(f4(X81),c34),f11(f4(c32),c34))
      | ~ p25(c32,X81) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_49) ).

fof(f336,plain,
    ~ p2(sF15,sF16),
    inference(superposition,[],[f60,f76]) ).

fof(f60,plain,
    ! [X10] : ~ p2(X10,f16(X10,sF2)),
    inference(definition_folding,[],[f19,f59,f58]) ).

fof(f19,axiom,
    ! [X10] : ~ p2(X10,f16(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_19) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN665-1 : 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 : n021.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 22:10:56 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (25053)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)
% 0.20/0.50  % (25038)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51  % (25045)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)
% 0.20/0.51  % (25037)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)
% 0.20/0.52  % (25030)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (25026)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)
% 0.20/0.53  TRYING [1]
% 0.20/0.53  TRYING [2]
% 0.20/0.53  % (25027)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)
% 0.20/0.53  TRYING [3]
% 0.20/0.53  % (25033)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (25035)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)
% 0.20/0.53  % (25054)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  % (25036)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (25033)Instruction limit reached!
% 0.20/0.54  % (25033)------------------------------
% 0.20/0.54  % (25033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (25027)Refutation not found, incomplete strategy% (25027)------------------------------
% 0.20/0.54  % (25027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (25053)First to succeed.
% 0.20/0.54  % (25029)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)
% 0.20/0.54  % (25049)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)
% 0.20/0.54  % (25048)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)
% 0.20/0.54  % (25041)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)
% 0.20/0.54  % (25034)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (25034)Instruction limit reached!
% 0.20/0.54  % (25034)------------------------------
% 0.20/0.54  % (25034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (25034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (25034)Termination reason: Unknown
% 0.20/0.54  % (25034)Termination phase: Blocked clause elimination
% 0.20/0.54  
% 0.20/0.54  % (25034)Memory used [KB]: 1023
% 0.20/0.54  % (25034)Time elapsed: 0.002 s
% 0.20/0.54  % (25034)Instructions burned: 2 (million)
% 0.20/0.54  % (25034)------------------------------
% 0.20/0.54  % (25034)------------------------------
% 0.20/0.54  % (25028)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)
% 0.20/0.54  % (25051)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (25027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (25027)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (25027)Memory used [KB]: 5500
% 0.20/0.54  % (25027)Time elapsed: 0.135 s
% 0.20/0.54  % (25027)Instructions burned: 4 (million)
% 0.20/0.54  % (25027)------------------------------
% 0.20/0.54  % (25027)------------------------------
% 0.20/0.54  % (25033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (25033)Termination reason: Unknown
% 0.20/0.54  % (25033)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (25033)Memory used [KB]: 5500
% 0.20/0.54  % (25033)Time elapsed: 0.124 s
% 0.20/0.54  % (25033)Instructions burned: 8 (million)
% 0.20/0.54  % (25033)------------------------------
% 0.20/0.54  % (25033)------------------------------
% 0.20/0.55  % (25046)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)
% 0.20/0.55  % (25042)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)
% 0.20/0.55  % (25040)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)
% 0.20/0.55  % (25031)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)
% 0.20/0.55  % (25039)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  % (25053)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (25053)------------------------------
% 0.20/0.55  % (25053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (25053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (25053)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (25053)Memory used [KB]: 1151
% 0.20/0.55  % (25053)Time elapsed: 0.133 s
% 0.20/0.55  % (25053)Instructions burned: 16 (million)
% 0.20/0.55  % (25053)------------------------------
% 0.20/0.55  % (25053)------------------------------
% 0.20/0.55  % (25025)Success in time 0.201 s
%------------------------------------------------------------------------------