TSTP Solution File: SYN693-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN693-1 : 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 : n012.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 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       :   43 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  12   ~;  10   |;   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   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f566,plain,
    $false,
    inference(subsumption_resolution,[],[f563,f112]) ).

fof(f112,plain,
    ~ p2(sF24,sF5),
    inference(definition_folding,[],[f53,f77,f76,f75,f74,f73,f111,f110]) ).

fof(f110,plain,
    f4(c46) = sF23,
    introduced(function_definition,[]) ).

fof(f111,plain,
    f11(sF23,c43) = sF24,
    introduced(function_definition,[]) ).

fof(f73,plain,
    f20(c37) = sF1,
    introduced(function_definition,[]) ).

fof(f74,plain,
    sF2 = f9(sF1),
    introduced(function_definition,[]) ).

fof(f75,plain,
    sF3 = f23(c44,sF2),
    introduced(function_definition,[]) ).

fof(f76,plain,
    sF4 = f4(sF3),
    introduced(function_definition,[]) ).

fof(f77,plain,
    f11(sF4,c43) = sF5,
    introduced(function_definition,[]) ).

fof(f53,axiom,
    ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_53) ).

fof(f563,plain,
    p2(sF24,sF5),
    inference(resolution,[],[f561,f173]) ).

fof(f173,plain,
    ! [X0] :
      ( ~ p2(sF7,X0)
      | p2(X0,sF5) ),
    inference(resolution,[],[f167,f40]) ).

fof(f40,axiom,
    ! [X44,X45,X5] :
      ( ~ p2(X5,X45)
      | ~ p2(X5,X44)
      | p2(X44,X45) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_40) ).

fof(f167,plain,
    p2(sF7,sF5),
    inference(resolution,[],[f146,f80]) ).

fof(f80,plain,
    p2(sF5,sF7),
    inference(definition_folding,[],[f52,f79,f78,f77,f76,f75,f74,f73]) ).

fof(f78,plain,
    f4(c44) = sF6,
    introduced(function_definition,[]) ).

fof(f79,plain,
    f11(sF6,c43) = sF7,
    introduced(function_definition,[]) ).

fof(f52,axiom,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_52) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f40,f12]) ).

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

fof(f561,plain,
    p2(sF7,sF24),
    inference(resolution,[],[f559,f146]) ).

fof(f559,plain,
    p2(sF24,sF7),
    inference(forward_demodulation,[],[f557,f79]) ).

fof(f557,plain,
    p2(sF24,f11(sF6,c43)),
    inference(superposition,[],[f428,f111]) ).

fof(f428,plain,
    ! [X0] : p2(f11(sF23,X0),f11(sF6,X0)),
    inference(resolution,[],[f427,f236]) ).

fof(f236,plain,
    ! [X2,X0,X1] :
      ( ~ p3(X0,X1)
      | p2(f11(X1,X2),f11(X0,X2)) ),
    inference(resolution,[],[f222,f146]) ).

fof(f222,plain,
    ! [X2,X0,X1] :
      ( p2(f11(X0,X2),f11(X1,X2))
      | ~ p3(X0,X1) ),
    inference(resolution,[],[f58,f7]) ).

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

fof(f58,axiom,
    ! [X82,X83,X84,X85] :
      ( ~ p10(X83,X85)
      | ~ p3(X82,X84)
      | p2(f11(X82,X83),f11(X84,X85)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_58) ).

fof(f427,plain,
    p3(sF6,sF23),
    inference(forward_demodulation,[],[f424,f110]) ).

fof(f424,plain,
    p3(sF6,f4(c46)),
    inference(resolution,[],[f291,f16]) ).

fof(f16,axiom,
    p2(c44,c46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).

fof(f291,plain,
    ! [X0] :
      ( ~ p2(c44,X0)
      | p3(sF6,f4(X0)) ),
    inference(superposition,[],[f34,f78]) ).

fof(f34,axiom,
    ! [X32,X33] :
      ( p3(f4(X32),f4(X33))
      | ~ p2(X32,X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_34) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN693-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 22:15:20 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (13720)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)
% 0.20/0.50  % (13728)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.50  % (13711)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  TRYING [1]
% 0.20/0.50  TRYING [1]
% 0.20/0.51  % (13731)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)
% 0.20/0.51  % (13723)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  TRYING [2]
% 0.20/0.51  % (13714)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  % (13713)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)
% 0.20/0.52  % (13722)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  % (13715)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (13736)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  TRYING [2]
% 0.20/0.52  TRYING [3]
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (13733)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  % (13721)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  % (13725)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)
% 0.20/0.53  % (13712)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  % (13729)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (13724)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (13712)Refutation not found, incomplete strategy% (13712)------------------------------
% 0.20/0.53  % (13712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (13712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (13712)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (13712)Memory used [KB]: 5500
% 0.20/0.53  % (13712)Time elapsed: 0.128 s
% 0.20/0.53  % (13712)Instructions burned: 3 (million)
% 0.20/0.53  % (13712)------------------------------
% 0.20/0.53  % (13712)------------------------------
% 0.20/0.53  % (13739)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (13735)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  % (13716)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)
% 0.20/0.53  % (13737)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)
% 0.20/0.54  % (13717)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)
% 0.20/0.54  TRYING [4]
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (13740)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)
% 0.20/0.54  % (13727)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  % (13738)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)
% 0.20/0.55  TRYING [4]
% 0.20/0.55  % (13732)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  % (13719)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (13719)Instruction limit reached!
% 0.20/0.55  % (13719)------------------------------
% 0.20/0.55  % (13719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (13719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (13719)Termination reason: Unknown
% 0.20/0.55  % (13719)Termination phase: Blocked clause elimination
% 0.20/0.55  
% 0.20/0.55  % (13719)Memory used [KB]: 1023
% 0.20/0.55  % (13719)Time elapsed: 0.002 s
% 0.20/0.55  % (13719)Instructions burned: 3 (million)
% 0.20/0.55  % (13719)------------------------------
% 0.20/0.55  % (13719)------------------------------
% 0.20/0.55  % (13726)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)
% 0.20/0.55  % (13730)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)
% 0.20/0.55  % (13734)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)
% 0.20/0.56  % (13718)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.51/0.56  % (13718)Instruction limit reached!
% 1.51/0.56  % (13718)------------------------------
% 1.51/0.56  % (13718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.56  % (13718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.56  % (13718)Termination reason: Unknown
% 1.51/0.56  % (13718)Termination phase: Saturation
% 1.51/0.56  
% 1.51/0.56  % (13718)Memory used [KB]: 5500
% 1.51/0.56  % (13718)Time elapsed: 0.150 s
% 1.51/0.56  % (13718)Instructions burned: 7 (million)
% 1.51/0.56  % (13718)------------------------------
% 1.51/0.56  % (13718)------------------------------
% 1.74/0.58  % (13728)Instruction limit reached!
% 1.74/0.58  % (13728)------------------------------
% 1.74/0.58  % (13728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.58  % (13728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.58  % (13728)Termination reason: Unknown
% 1.74/0.58  % (13728)Termination phase: Finite model building SAT solving
% 1.74/0.58  
% 1.74/0.58  % (13728)Memory used [KB]: 7419
% 1.74/0.58  % (13728)Time elapsed: 0.139 s
% 1.74/0.58  % (13728)Instructions burned: 60 (million)
% 1.74/0.58  % (13728)------------------------------
% 1.74/0.58  % (13728)------------------------------
% 1.74/0.58  TRYING [3]
% 1.74/0.58  % (13720)Instruction limit reached!
% 1.74/0.58  % (13720)------------------------------
% 1.74/0.58  % (13720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59  % (13720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59  % (13720)Termination reason: Unknown
% 1.74/0.59  % (13720)Termination phase: Saturation
% 1.74/0.59  
% 1.74/0.59  % (13720)Memory used [KB]: 1279
% 1.74/0.59  % (13720)Time elapsed: 0.179 s
% 1.74/0.59  % (13720)Instructions burned: 52 (million)
% 1.74/0.59  % (13720)------------------------------
% 1.74/0.59  % (13720)------------------------------
% 1.74/0.59  % (13726)First to succeed.
% 1.74/0.60  % (13726)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  % (13726)------------------------------
% 1.74/0.60  % (13726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.60  % (13726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.60  % (13726)Termination reason: Refutation
% 1.74/0.60  
% 1.74/0.60  % (13726)Memory used [KB]: 1407
% 1.74/0.60  % (13726)Time elapsed: 0.192 s
% 1.74/0.60  % (13726)Instructions burned: 26 (million)
% 1.74/0.60  % (13726)------------------------------
% 1.74/0.60  % (13726)------------------------------
% 1.74/0.60  % (13710)Success in time 0.233 s
%------------------------------------------------------------------------------