TSTP Solution File: SYN696-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN696-1 : 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 : n016.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 19:39:17 EDT 2022

% Result   : Unsatisfiable 2.09s 0.61s
% Output   : Refutation 2.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   31 (  22 unt;   0 def)
%            Number of atoms       :   43 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  14   ~;  12   |;   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(f847,plain,
    $false,
    inference(subsumption_resolution,[],[f846,f84]) ).

fof(f84,plain,
    ~ p2(sF8,sF4),
    inference(definition_folding,[],[f56,f78,f77,f76,f75,f74,f83,f82]) ).

fof(f82,plain,
    f4(c45) = sF7,
    introduced(function_definition,[]) ).

fof(f83,plain,
    sF8 = f11(sF7,c43),
    introduced(function_definition,[]) ).

fof(f74,plain,
    f20(c37) = sF0,
    introduced(function_definition,[]) ).

fof(f75,plain,
    sF1 = f9(sF0),
    introduced(function_definition,[]) ).

fof(f76,plain,
    f23(c44,sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f77,plain,
    sF3 = f4(sF2),
    introduced(function_definition,[]) ).

fof(f78,plain,
    f11(sF3,c43) = sF4,
    introduced(function_definition,[]) ).

fof(f56,axiom,
    ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_56) ).

fof(f846,plain,
    p2(sF8,sF4),
    inference(resolution,[],[f834,f12]) ).

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

fof(f834,plain,
    ! [X0] :
      ( ~ p2(sF4,X0)
      | p2(sF8,X0) ),
    inference(resolution,[],[f817,f150]) ).

fof(f150,plain,
    ! [X16] :
      ( p2(sF6,X16)
      | ~ p2(sF4,X16) ),
    inference(resolution,[],[f42,f81]) ).

fof(f81,plain,
    p2(sF4,sF6),
    inference(definition_folding,[],[f55,f80,f79,f78,f77,f76,f75,f74]) ).

fof(f79,plain,
    f4(c44) = sF5,
    introduced(function_definition,[]) ).

fof(f80,plain,
    f11(sF5,c43) = sF6,
    introduced(function_definition,[]) ).

fof(f55,axiom,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_55) ).

fof(f42,axiom,
    ! [X44,X45,X5] :
      ( ~ p2(X5,X44)
      | p2(X44,X45)
      | ~ p2(X5,X45) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_42) ).

fof(f817,plain,
    ! [X0] :
      ( ~ p2(sF6,X0)
      | p2(sF8,X0) ),
    inference(resolution,[],[f816,f42]) ).

fof(f816,plain,
    p2(sF6,sF8),
    inference(forward_demodulation,[],[f813,f83]) ).

fof(f813,plain,
    p2(sF6,f11(sF7,c43)),
    inference(resolution,[],[f650,f277]) ).

fof(f277,plain,
    p3(sF5,sF7),
    inference(forward_demodulation,[],[f275,f82]) ).

fof(f275,plain,
    p3(sF5,f4(c45)),
    inference(resolution,[],[f250,f16]) ).

fof(f16,axiom,
    p2(c44,c45),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).

fof(f250,plain,
    ! [X0] :
      ( ~ p2(c44,X0)
      | p3(sF5,f4(X0)) ),
    inference(superposition,[],[f36,f79]) ).

fof(f36,axiom,
    ! [X32,X33] :
      ( p3(f4(X32),f4(X33))
      | ~ p2(X32,X33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_36) ).

fof(f650,plain,
    ! [X0] :
      ( ~ p3(sF5,X0)
      | p2(sF6,f11(X0,c43)) ),
    inference(resolution,[],[f373,f7]) ).

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

fof(f373,plain,
    ! [X2,X3] :
      ( ~ p10(c43,X3)
      | ~ p3(sF5,X2)
      | p2(sF6,f11(X2,X3)) ),
    inference(superposition,[],[f61,f80]) ).

fof(f61,axiom,
    ! [X82,X83,X84,X85] :
      ( p2(f11(X82,X83),f11(X84,X85))
      | ~ p3(X82,X84)
      | ~ p10(X83,X85) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_61) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN696-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 22:39:01 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.49  % (15106)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)
% 0.18/0.50  % (15100)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)
% 0.18/0.50  % (15114)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)
% 0.18/0.50  % (15111)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)
% 0.18/0.50  % (15128)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.50  % (15109)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)
% 0.18/0.50  % (15120)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)
% 0.18/0.50  % (15112)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51  % (15103)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)
% 0.18/0.51  % (15117)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.51  % (15102)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)
% 0.18/0.51  % (15127)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)
% 0.18/0.51  % (15104)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (15119)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)
% 0.18/0.51  % (15115)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)
% 0.18/0.51  TRYING [1]
% 0.18/0.51  TRYING [1]
% 0.18/0.51  % (15124)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.51  % (15122)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)
% 0.18/0.52  % (15110)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (15123)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)
% 0.18/0.52  % (15126)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)
% 0.18/0.52  TRYING [2]
% 0.18/0.52  % (15125)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52  % (15121)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.52  % (15116)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)
% 0.18/0.52  TRYING [1]
% 0.18/0.52  TRYING [2]
% 0.18/0.53  % (15118)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  TRYING [3]
% 0.18/0.53  TRYING [2]
% 0.18/0.53  TRYING [3]
% 0.18/0.53  % (15107)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53  TRYING [3]
% 0.18/0.53  % (15107)Instruction limit reached!
% 0.18/0.53  % (15107)------------------------------
% 0.18/0.53  % (15107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (15107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (15107)Termination reason: Unknown
% 0.18/0.53  % (15107)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (15107)Memory used [KB]: 5628
% 0.18/0.53  % (15107)Time elapsed: 0.152 s
% 0.18/0.53  % (15107)Instructions burned: 8 (million)
% 0.18/0.53  % (15107)------------------------------
% 0.18/0.53  % (15107)------------------------------
% 0.18/0.54  % (15101)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)
% 0.18/0.54  % (15101)Refutation not found, incomplete strategy% (15101)------------------------------
% 0.18/0.54  % (15101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (15101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (15101)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54  
% 0.18/0.54  % (15101)Memory used [KB]: 5500
% 0.18/0.54  % (15101)Time elapsed: 0.160 s
% 0.18/0.54  % (15101)Instructions burned: 3 (million)
% 0.18/0.54  % (15101)------------------------------
% 0.18/0.54  % (15101)------------------------------
% 0.18/0.54  % (15108)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.54  % (15108)Instruction limit reached!
% 0.18/0.54  % (15108)------------------------------
% 0.18/0.54  % (15108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (15108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (15108)Termination reason: Unknown
% 0.18/0.54  % (15108)Termination phase: Blocked clause elimination
% 0.18/0.54  
% 0.18/0.54  % (15108)Memory used [KB]: 1023
% 0.18/0.54  % (15108)Time elapsed: 0.004 s
% 0.18/0.54  % (15108)Instructions burned: 3 (million)
% 0.18/0.54  % (15108)------------------------------
% 0.18/0.54  % (15108)------------------------------
% 0.18/0.54  % (15129)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)
% 0.18/0.55  % (15105)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)
% 0.18/0.56  % (15113)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.57  TRYING [4]
% 0.18/0.57  % (15102)Instruction limit reached!
% 0.18/0.57  % (15102)------------------------------
% 0.18/0.57  % (15102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (15102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (15102)Termination reason: Unknown
% 0.18/0.57  % (15102)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (15102)Memory used [KB]: 1279
% 0.18/0.57  % (15102)Time elapsed: 0.175 s
% 0.18/0.57  % (15102)Instructions burned: 37 (million)
% 0.18/0.57  % (15102)------------------------------
% 0.18/0.57  % (15102)------------------------------
% 0.18/0.58  TRYING [4]
% 0.18/0.58  % (15106)Instruction limit reached!
% 0.18/0.58  % (15106)------------------------------
% 0.18/0.58  % (15106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (15106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (15106)Termination reason: Unknown
% 0.18/0.58  % (15106)Termination phase: Finite model building SAT solving
% 0.18/0.58  
% 0.18/0.58  % (15106)Memory used [KB]: 7419
% 0.18/0.58  % (15106)Time elapsed: 0.153 s
% 0.18/0.58  % (15106)Instructions burned: 51 (million)
% 0.18/0.58  % (15106)------------------------------
% 0.18/0.58  % (15106)------------------------------
% 0.18/0.59  % (15104)Instruction limit reached!
% 0.18/0.59  % (15104)------------------------------
% 0.18/0.59  % (15104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59  % (15104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59  % (15104)Termination reason: Unknown
% 0.18/0.59  % (15104)Termination phase: Saturation
% 0.18/0.59  
% 0.18/0.59  % (15104)Memory used [KB]: 6652
% 0.18/0.59  % (15104)Time elapsed: 0.172 s
% 0.18/0.59  % (15104)Instructions burned: 51 (million)
% 0.18/0.59  % (15104)------------------------------
% 0.18/0.59  % (15104)------------------------------
% 0.18/0.60  % (15109)Instruction limit reached!
% 0.18/0.60  % (15109)------------------------------
% 0.18/0.60  % (15109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.60  % (15127)First to succeed.
% 0.18/0.61  % (15117)Instruction limit reached!
% 0.18/0.61  % (15117)------------------------------
% 0.18/0.61  % (15117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.61  % (15117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.61  % (15117)Termination reason: Unknown
% 0.18/0.61  % (15117)Termination phase: Finite model building SAT solving
% 0.18/0.61  
% 0.18/0.61  % (15117)Memory used [KB]: 7547
% 0.18/0.61  % (15117)Time elapsed: 0.194 s
% 0.18/0.61  % (15117)Instructions burned: 62 (million)
% 0.18/0.61  % (15117)------------------------------
% 0.18/0.61  % (15117)------------------------------
% 2.09/0.61  % (15127)Refutation found. Thanks to Tanya!
% 2.09/0.61  % SZS status Unsatisfiable for theBenchmark
% 2.09/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.61  % (15127)------------------------------
% 2.09/0.61  % (15127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.61  % (15127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.61  % (15127)Termination reason: Refutation
% 2.09/0.61  
% 2.09/0.61  % (15127)Memory used [KB]: 1535
% 2.09/0.61  % (15127)Time elapsed: 0.215 s
% 2.09/0.61  % (15127)Instructions burned: 47 (million)
% 2.09/0.61  % (15127)------------------------------
% 2.09/0.61  % (15127)------------------------------
% 2.09/0.61  % (15099)Success in time 0.269 s
%------------------------------------------------------------------------------