TSTP Solution File: GRP172-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP172-2 : 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 : n028.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 0.15s 0.54s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (  18 unt;   0 def)
%            Number of atoms       :   18 (  17 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 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f486,plain,
    $false,
    inference(subsumption_resolution,[],[f485,f18]) ).

fof(f18,axiom,
    multiply(a,b) != least_upper_bound(identity,multiply(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p04d) ).

fof(f485,plain,
    multiply(a,b) = least_upper_bound(identity,multiply(a,b)),
    inference(forward_demodulation,[],[f481,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).

fof(f481,plain,
    multiply(a,b) = least_upper_bound(multiply(a,b),identity),
    inference(superposition,[],[f23,f457]) ).

fof(f457,plain,
    identity = greatest_lower_bound(identity,multiply(a,b)),
    inference(forward_demodulation,[],[f451,f17]) ).

fof(f17,axiom,
    identity = greatest_lower_bound(identity,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p04d_2) ).

fof(f451,plain,
    greatest_lower_bound(identity,b) = greatest_lower_bound(identity,multiply(a,b)),
    inference(superposition,[],[f46,f419]) ).

fof(f419,plain,
    ! [X16] : greatest_lower_bound(X16,multiply(a,X16)) = X16,
    inference(forward_demodulation,[],[f364,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f364,plain,
    ! [X16] : multiply(identity,X16) = greatest_lower_bound(multiply(identity,X16),multiply(a,X16)),
    inference(superposition,[],[f15,f16]) ).

fof(f16,axiom,
    identity = greatest_lower_bound(identity,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p04d_1) ).

fof(f15,axiom,
    ! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_glb2) ).

fof(f46,plain,
    ! [X1] : greatest_lower_bound(identity,X1) = greatest_lower_bound(identity,greatest_lower_bound(b,X1)),
    inference(superposition,[],[f6,f17]) ).

fof(f6,axiom,
    ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_glb) ).

fof(f23,plain,
    ! [X3,X4] : least_upper_bound(X3,greatest_lower_bound(X4,X3)) = X3,
    inference(superposition,[],[f10,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_glb) ).

fof(f10,axiom,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lub_absorbtion) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : GRP172-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.05/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.30  % Computer : n028.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Aug 29 22:27:47 EDT 2022
% 0.10/0.30  % CPUTime    : 
% 0.15/0.46  % (8876)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)
% 0.15/0.47  % (8885)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)
% 0.15/0.47  % (8868)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)
% 0.15/0.48  % (8877)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)
% 0.15/0.48  TRYING [1]
% 0.15/0.48  TRYING [2]
% 0.15/0.48  % (8862)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)
% 0.15/0.48  TRYING [3]
% 0.15/0.49  % (8884)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)
% 0.15/0.49  % (8869)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.49  % (8861)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)
% 0.15/0.49  % (8875)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.50  TRYING [1]
% 0.15/0.50  % (8874)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.50  % (8873)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)
% 0.15/0.50  % (8881)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)
% 0.15/0.50  % (8864)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)
% 0.15/0.50  TRYING [2]
% 0.15/0.50  TRYING [3]
% 0.15/0.51  % (8872)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.51  % (8869)Instruction limit reached!
% 0.15/0.51  % (8869)------------------------------
% 0.15/0.51  % (8869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51  % (8869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51  % (8869)Termination reason: Unknown
% 0.15/0.51  % (8869)Termination phase: Saturation
% 0.15/0.51  
% 0.15/0.51  % (8869)Memory used [KB]: 5500
% 0.15/0.51  % (8869)Time elapsed: 0.090 s
% 0.15/0.51  % (8869)Instructions burned: 7 (million)
% 0.15/0.51  % (8869)------------------------------
% 0.15/0.51  % (8869)------------------------------
% 0.15/0.51  % (8887)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.51  % (8867)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)
% 0.15/0.52  % (8866)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.52  % (8870)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.52  % (8878)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)
% 0.15/0.52  % (8863)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)
% 0.15/0.52  % (8888)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)
% 0.15/0.53  % (8870)Instruction limit reached!
% 0.15/0.53  % (8870)------------------------------
% 0.15/0.53  % (8870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53  % (8870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53  % (8870)Termination reason: Unknown
% 0.15/0.53  % (8870)Termination phase: Saturation
% 0.15/0.53  
% 0.15/0.53  % (8870)Memory used [KB]: 5373
% 0.15/0.53  % (8870)Time elapsed: 0.165 s
% 0.15/0.53  % (8870)Instructions burned: 3 (million)
% 0.15/0.53  % (8870)------------------------------
% 0.15/0.53  % (8870)------------------------------
% 0.15/0.53  % (8871)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)
% 0.15/0.53  % (8886)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.53  % (8879)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.53  % (8880)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.54  % (8883)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.54  % (8890)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.15/0.54  TRYING [1]
% 0.15/0.54  TRYING [2]
% 0.15/0.54  % (8885)First to succeed.
% 0.15/0.54  TRYING [3]
% 0.15/0.54  % (8885)Refutation found. Thanks to Tanya!
% 0.15/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.54  % (8885)------------------------------
% 0.15/0.54  % (8885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54  % (8885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54  % (8885)Termination reason: Refutation
% 0.15/0.54  
% 0.15/0.54  % (8885)Memory used [KB]: 5884
% 0.15/0.54  % (8885)Time elapsed: 0.124 s
% 0.15/0.54  % (8885)Instructions burned: 28 (million)
% 0.15/0.54  % (8885)------------------------------
% 0.15/0.54  % (8885)------------------------------
% 0.15/0.54  % (8860)Success in time 0.233 s
%------------------------------------------------------------------------------