TSTP Solution File: COL001-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n024.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 15:52:19 EDT 2022

% Result   : Unsatisfiable 2.93s 0.65s
% Output   : Refutation 2.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f591,plain,
    $false,
    inference(equality_resolution,[],[f542]) ).

fof(f542,plain,
    ! [X62] : apply(X62,X62) != apply(apply(apply(s,apply(b,combinator)),i),X62),
    inference(superposition,[],[f6,f120]) ).

fof(f120,plain,
    ! [X6,X7] : apply(X6,apply(X7,X7)) = apply(apply(apply(s,apply(b,X6)),i),X7),
    inference(superposition,[],[f13,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).

fof(f13,plain,
    ! [X0,X1] : apply(apply(apply(s,X1),i),X0) = apply(apply(X1,X0),X0),
    inference(superposition,[],[f1,f4]) ).

fof(f4,axiom,
    ! [X0] : apply(i,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_definition) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_definition) ).

fof(f6,axiom,
    ! [X1] : apply(combinator,X1) != X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem    : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.07  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.06/0.25  % Computer : n024.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit   : 300
% 0.06/0.25  % WCLimit    : 300
% 0.06/0.25  % DateTime   : Mon Aug 29 16:34:04 EDT 2022
% 0.06/0.26  % CPUTime    : 
% 0.10/0.43  % (27367)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.10/0.43  % (27384)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 (3000ds/467Mi)
% 0.10/0.43  % (27383)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 (3000ds/498Mi)
% 0.10/0.44  % (27368)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.10/0.44  % (27375)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 (3000ds/68Mi)
% 0.10/0.44  TRYING [1]
% 0.10/0.44  TRYING [2]
% 0.10/0.45  % (27368)Instruction limit reached!
% 0.10/0.45  % (27368)------------------------------
% 0.10/0.45  % (27368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.45  TRYING [3]
% 0.10/0.45  % (27376)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 (3000ds/75Mi)
% 0.10/0.45  % (27368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.45  % (27368)Termination reason: Unknown
% 0.10/0.45  % (27368)Termination phase: Saturation
% 0.10/0.45  
% 0.10/0.45  % (27368)Memory used [KB]: 5500
% 0.10/0.45  % (27368)Time elapsed: 0.110 s
% 0.10/0.45  % (27368)Instructions burned: 8 (million)
% 0.10/0.45  % (27368)------------------------------
% 0.10/0.45  % (27368)------------------------------
% 0.10/0.47  TRYING [4]
% 0.10/0.47  % (27369)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.10/0.47  % (27369)Instruction limit reached!
% 0.10/0.47  % (27369)------------------------------
% 0.10/0.47  % (27369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.47  % (27369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.47  % (27369)Termination reason: Unknown
% 0.10/0.47  % (27369)Termination phase: Saturation
% 0.10/0.47  
% 0.10/0.47  % (27369)Memory used [KB]: 5373
% 0.10/0.47  % (27369)Time elapsed: 0.155 s
% 0.10/0.47  % (27369)Instructions burned: 2 (million)
% 0.10/0.47  % (27369)------------------------------
% 0.10/0.47  % (27369)------------------------------
% 0.10/0.48  % (27365)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.10/0.48  % (27372)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.10/0.49  % (27366)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 (3000ds/48Mi)
% 0.10/0.49  % (27364)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.10/0.49  % (27370)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 (3000ds/51Mi)
% 0.10/0.49  % (27371)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.10/0.49  % (27361)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 (3000ds/191324Mi)
% 0.10/0.50  TRYING [1]
% 0.10/0.50  TRYING [2]
% 0.10/0.50  % (27374)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.10/0.50  % (27388)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 (3000ds/177Mi)
% 0.10/0.50  % (27363)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 (3000ds/37Mi)
% 0.10/0.50  % (27378)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.10/0.50  % (27389)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.10/0.50  % (27390)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 (3000ds/355Mi)
% 0.10/0.50  TRYING [1]
% 0.10/0.50  TRYING [2]
% 0.10/0.51  % (27386)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.10/0.51  % (27373)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.10/0.51  % (27382)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.10/0.51  % (27387)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 (3000ds/68Mi)
% 0.10/0.51  % (27377)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 (3000ds/99Mi)
% 0.10/0.51  % (27381)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 (3000ds/176Mi)
% 0.10/0.51  TRYING [3]
% 0.10/0.52  % (27362)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.10/0.52  % (27380)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 (3000ds/100Mi)
% 0.10/0.52  % (27367)Instruction limit reached!
% 0.10/0.52  % (27367)------------------------------
% 0.10/0.52  % (27367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.52  % (27367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.52  % (27367)Termination reason: Unknown
% 0.10/0.52  % (27367)Termination phase: Finite model building SAT solving
% 0.10/0.52  
% 0.10/0.52  % (27367)Memory used [KB]: 7803
% 0.10/0.52  % (27367)Time elapsed: 0.152 s
% 0.10/0.52  % (27367)Instructions burned: 53 (million)
% 0.10/0.52  % (27367)------------------------------
% 0.10/0.52  % (27367)------------------------------
% 0.10/0.52  % (27385)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.10/0.52  TRYING [3]
% 0.10/0.53  % (27379)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.10/0.54  TRYING [4]
% 0.10/0.54  TRYING [4]
% 0.10/0.55  % (27376)Instruction limit reached!
% 0.10/0.55  % (27376)------------------------------
% 0.10/0.55  % (27376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.55  % (27376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.55  % (27376)Termination reason: Unknown
% 0.10/0.55  % (27376)Termination phase: Saturation
% 0.10/0.55  
% 0.10/0.55  % (27376)Memory used [KB]: 2302
% 0.10/0.55  % (27376)Time elapsed: 0.222 s
% 0.10/0.55  % (27376)Instructions burned: 75 (million)
% 0.10/0.55  % (27376)------------------------------
% 0.10/0.55  % (27376)------------------------------
% 0.10/0.56  % (27375)Instruction limit reached!
% 0.10/0.56  % (27375)------------------------------
% 0.10/0.56  % (27375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.56  % (27375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.56  % (27375)Termination reason: Unknown
% 0.10/0.56  % (27375)Termination phase: Saturation
% 0.10/0.56  
% 0.10/0.56  % (27375)Memory used [KB]: 6908
% 0.10/0.56  % (27375)Time elapsed: 0.046 s
% 0.10/0.56  % (27375)Instructions burned: 68 (million)
% 0.10/0.56  % (27375)------------------------------
% 0.10/0.56  % (27375)------------------------------
% 0.10/0.61  % (27364)Instruction limit reached!
% 0.10/0.61  % (27364)------------------------------
% 0.10/0.61  % (27364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.61  % (27364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.61  % (27364)Termination reason: Unknown
% 0.10/0.61  % (27364)Termination phase: Saturation
% 0.10/0.61  
% 0.10/0.61  % (27364)Memory used [KB]: 6268
% 0.10/0.61  % (27364)Time elapsed: 0.287 s
% 0.10/0.61  % (27364)Instructions burned: 52 (million)
% 0.10/0.61  % (27364)------------------------------
% 0.10/0.61  % (27364)------------------------------
% 0.10/0.62  % (27365)Instruction limit reached!
% 0.10/0.62  % (27365)------------------------------
% 0.10/0.62  % (27365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.62  % (27365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.62  % (27365)Termination reason: Unknown
% 0.10/0.62  % (27365)Termination phase: Saturation
% 0.10/0.62  
% 0.10/0.62  % (27365)Memory used [KB]: 6268
% 0.10/0.62  % (27365)Time elapsed: 0.277 s
% 0.10/0.62  % (27365)Instructions burned: 52 (million)
% 0.10/0.62  % (27365)------------------------------
% 0.10/0.62  % (27365)------------------------------
% 0.10/0.62  % (27366)Instruction limit reached!
% 0.10/0.62  % (27366)------------------------------
% 0.10/0.62  % (27366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.62  % (27366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.62  % (27366)Termination reason: Unknown
% 0.10/0.62  % (27366)Termination phase: Saturation
% 0.10/0.62  
% 0.10/0.62  % (27366)Memory used [KB]: 6140
% 0.10/0.62  % (27366)Time elapsed: 0.298 s
% 0.10/0.62  % (27366)Instructions burned: 49 (million)
% 0.10/0.62  % (27366)------------------------------
% 0.10/0.62  % (27366)------------------------------
% 0.10/0.62  % (27363)Instruction limit reached!
% 0.10/0.62  % (27363)------------------------------
% 0.10/0.62  % (27363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.62  % (27363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.62  % (27363)Termination reason: Unknown
% 0.10/0.62  % (27363)Termination phase: Saturation
% 0.10/0.62  
% 0.10/0.62  % (27363)Memory used [KB]: 1663
% 0.10/0.62  % (27363)Time elapsed: 0.300 s
% 0.10/0.62  % (27363)Instructions burned: 38 (million)
% 0.10/0.62  % (27363)------------------------------
% 0.10/0.62  % (27363)------------------------------
% 0.10/0.63  TRYING [5]
% 0.10/0.63  % (27378)Instruction limit reached!
% 0.10/0.63  % (27378)------------------------------
% 0.10/0.63  % (27378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.63  % (27378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.63  % (27378)Termination reason: Unknown
% 2.62/0.63  % (27378)Termination phase: Finite model building SAT solving
% 2.62/0.63  
% 2.62/0.63  % (27378)Memory used [KB]: 7803
% 2.62/0.63  % (27378)Time elapsed: 0.173 s
% 2.62/0.63  % (27378)Instructions burned: 61 (million)
% 2.62/0.63  % (27378)------------------------------
% 2.62/0.63  % (27378)------------------------------
% 2.93/0.65  % (27377)First to succeed.
% 2.93/0.65  % (27377)Refutation found. Thanks to Tanya!
% 2.93/0.65  % SZS status Unsatisfiable for theBenchmark
% 2.93/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.93/0.65  % (27377)------------------------------
% 2.93/0.65  % (27377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.65  % (27377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.65  % (27377)Termination reason: Refutation
% 2.93/0.65  
% 2.93/0.65  % (27377)Memory used [KB]: 6140
% 2.93/0.65  % (27377)Time elapsed: 0.309 s
% 2.93/0.65  % (27377)Instructions burned: 52 (million)
% 2.93/0.65  % (27377)------------------------------
% 2.93/0.65  % (27377)------------------------------
% 2.93/0.65  % (27360)Success in time 0.382 s
%------------------------------------------------------------------------------