TSTP Solution File: GRP171-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP171-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n022.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 16:20:41 EDT 2022

% Result   : Unsatisfiable 1.94s 0.62s
% Output   : Refutation 1.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f676,plain,
    $false,
    inference(subsumption_resolution,[],[f674,f18]) ).

fof(f18,axiom,
    multiply(a,b) != least_upper_bound(identity,multiply(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p04a) ).

fof(f674,plain,
    multiply(a,b) = least_upper_bound(identity,multiply(a,b)),
    inference(superposition,[],[f24,f524]) ).

fof(f524,plain,
    ! [X0] : multiply(a,X0) = least_upper_bound(X0,multiply(a,X0)),
    inference(superposition,[],[f95,f16]) ).

fof(f16,axiom,
    a = least_upper_bound(identity,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p04a_1) ).

fof(f95,plain,
    ! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0)),
    inference(superposition,[],[f14,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f14,axiom,
    ! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_lub2) ).

fof(f24,plain,
    ! [X1] : least_upper_bound(b,X1) = least_upper_bound(identity,least_upper_bound(b,X1)),
    inference(superposition,[],[f7,f17]) ).

fof(f17,axiom,
    b = least_upper_bound(identity,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p04a_2) ).

fof(f7,axiom,
    ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_lub) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP171-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % 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 : n022.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   : Mon Aug 29 22:19:41 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (29326)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51  % (29317)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (29334)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52  % (29312)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)
% 0.19/0.52  % (29310)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)
% 0.19/0.52  % (29315)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)
% 0.19/0.52  % (29335)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)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.53  % (29319)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (29332)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)
% 0.19/0.53  % (29309)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)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (29313)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (29324)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)
% 0.19/0.53  % (29327)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (29314)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)
% 0.19/0.53  % (29331)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)
% 0.19/0.53  % (29311)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)
% 0.19/0.53  % (29318)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)
% 0.19/0.54  % (29317)Instruction limit reached!
% 0.19/0.54  % (29317)------------------------------
% 0.19/0.54  % (29317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (29317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (29317)Termination reason: Unknown
% 0.19/0.54  % (29317)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (29317)Memory used [KB]: 5373
% 0.19/0.54  % (29317)Time elapsed: 0.002 s
% 0.19/0.54  % (29317)Instructions burned: 2 (million)
% 0.19/0.54  % (29317)------------------------------
% 0.19/0.54  % (29317)------------------------------
% 0.19/0.54  % (29320)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)
% 0.19/0.54  % (29328)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)
% 0.19/0.54  % (29329)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)
% 0.19/0.54  % (29333)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  TRYING [2]
% 0.19/0.54  % (29336)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)
% 0.19/0.54  % (29330)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  TRYING [3]
% 0.19/0.54  % (29321)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54  % (29323)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)
% 0.19/0.54  % (29325)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)
% 0.19/0.55  % (29337)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55  TRYING [3]
% 0.19/0.55  % (29322)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (29338)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)
% 0.19/0.56  % (29316)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56  TRYING [4]
% 0.19/0.57  % (29311)Instruction limit reached!
% 0.19/0.57  % (29311)------------------------------
% 0.19/0.57  % (29311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (29311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (29311)Termination reason: Unknown
% 0.19/0.58  % (29311)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (29311)Memory used [KB]: 1663
% 0.19/0.58  % (29311)Time elapsed: 0.161 s
% 0.19/0.58  % (29311)Instructions burned: 37 (million)
% 0.19/0.58  % (29311)------------------------------
% 0.19/0.58  % (29311)------------------------------
% 0.19/0.58  % (29316)Instruction limit reached!
% 0.19/0.58  % (29316)------------------------------
% 0.19/0.58  % (29316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (29316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (29316)Termination reason: Unknown
% 0.19/0.58  % (29316)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (29316)Memory used [KB]: 5500
% 0.19/0.58  % (29316)Time elapsed: 0.163 s
% 0.19/0.58  % (29316)Instructions burned: 8 (million)
% 0.19/0.58  % (29316)------------------------------
% 0.19/0.58  % (29316)------------------------------
% 0.19/0.58  % (29315)Instruction limit reached!
% 0.19/0.58  % (29315)------------------------------
% 0.19/0.58  % (29315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (29315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (29315)Termination reason: Unknown
% 0.19/0.58  % (29315)Termination phase: Finite model building SAT solving
% 0.19/0.58  
% 0.19/0.58  % (29315)Memory used [KB]: 7291
% 0.19/0.58  % (29315)Time elapsed: 0.141 s
% 0.19/0.58  % (29315)Instructions burned: 52 (million)
% 0.19/0.58  % (29315)------------------------------
% 0.19/0.58  % (29315)------------------------------
% 1.79/0.60  TRYING [4]
% 1.79/0.60  % (29326)Instruction limit reached!
% 1.79/0.60  % (29326)------------------------------
% 1.79/0.60  % (29326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.60  % (29326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60  % (29326)Termination reason: Unknown
% 1.79/0.60  % (29326)Termination phase: Finite model building constraint generation
% 1.79/0.60  
% 1.79/0.60  % (29326)Memory used [KB]: 7931
% 1.79/0.60  % (29326)Time elapsed: 0.195 s
% 1.79/0.60  % (29326)Instructions burned: 62 (million)
% 1.79/0.60  % (29326)------------------------------
% 1.79/0.60  % (29326)------------------------------
% 1.94/0.60  % (29310)Instruction limit reached!
% 1.94/0.60  % (29310)------------------------------
% 1.94/0.60  % (29310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.60  % (29310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.60  % (29310)Termination reason: Unknown
% 1.94/0.60  % (29310)Termination phase: Saturation
% 1.94/0.60  
% 1.94/0.60  % (29310)Memory used [KB]: 6268
% 1.94/0.60  % (29310)Time elapsed: 0.170 s
% 1.94/0.60  % (29310)Instructions burned: 50 (million)
% 1.94/0.60  % (29310)------------------------------
% 1.94/0.60  % (29310)------------------------------
% 1.94/0.60  % (29318)Instruction limit reached!
% 1.94/0.60  % (29318)------------------------------
% 1.94/0.60  % (29318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.60  % (29318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.60  % (29318)Termination reason: Unknown
% 1.94/0.60  % (29318)Termination phase: Saturation
% 1.94/0.60  
% 1.94/0.60  % (29318)Memory used [KB]: 1918
% 1.94/0.60  % (29318)Time elapsed: 0.204 s
% 1.94/0.60  % (29318)Instructions burned: 52 (million)
% 1.94/0.60  % (29318)------------------------------
% 1.94/0.60  % (29318)------------------------------
% 1.94/0.61  % (29312)Instruction limit reached!
% 1.94/0.61  % (29312)------------------------------
% 1.94/0.61  % (29312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.61  % (29312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61  % (29312)Termination reason: Unknown
% 1.94/0.61  % (29312)Termination phase: Saturation
% 1.94/0.61  
% 1.94/0.61  % (29312)Memory used [KB]: 6268
% 1.94/0.61  % (29312)Time elapsed: 0.208 s
% 1.94/0.61  % (29312)Instructions burned: 51 (million)
% 1.94/0.61  % (29312)------------------------------
% 1.94/0.61  % (29312)------------------------------
% 1.94/0.61  % (29319)Instruction limit reached!
% 1.94/0.61  % (29319)------------------------------
% 1.94/0.61  % (29319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.61  % (29313)Instruction limit reached!
% 1.94/0.61  % (29313)------------------------------
% 1.94/0.61  % (29313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.61  % (29313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61  % (29313)Termination reason: Unknown
% 1.94/0.61  % (29313)Termination phase: Saturation
% 1.94/0.61  
% 1.94/0.61  % (29313)Memory used [KB]: 6268
% 1.94/0.61  % (29313)Time elapsed: 0.218 s
% 1.94/0.61  % (29313)Instructions burned: 51 (million)
% 1.94/0.61  % (29313)------------------------------
% 1.94/0.61  % (29313)------------------------------
% 1.94/0.61  % (29319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61  % (29319)Termination reason: Unknown
% 1.94/0.61  % (29319)Termination phase: Saturation
% 1.94/0.61  
% 1.94/0.61  % (29319)Memory used [KB]: 6268
% 1.94/0.61  % (29319)Time elapsed: 0.204 s
% 1.94/0.61  % (29319)Instructions burned: 51 (million)
% 1.94/0.61  % (29319)------------------------------
% 1.94/0.61  % (29319)------------------------------
% 1.94/0.62  % (29314)Instruction limit reached!
% 1.94/0.62  % (29314)------------------------------
% 1.94/0.62  % (29314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.62  % (29332)First to succeed.
% 1.94/0.62  % (29332)Refutation found. Thanks to Tanya!
% 1.94/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.94/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.94/0.62  % (29332)------------------------------
% 1.94/0.62  % (29332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.62  % (29332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.62  % (29332)Termination reason: Refutation
% 1.94/0.62  
% 1.94/0.62  % (29332)Memory used [KB]: 6012
% 1.94/0.62  % (29332)Time elapsed: 0.189 s
% 1.94/0.62  % (29332)Instructions burned: 44 (million)
% 1.94/0.62  % (29332)------------------------------
% 1.94/0.62  % (29332)------------------------------
% 1.94/0.62  % (29308)Success in time 0.265 s
%------------------------------------------------------------------------------