TSTP Solution File: GRP682-10 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP682-10 : TPTP v8.1.0. Released v8.1.0.
% 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 : n026.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 16:23:37 EDT 2022

% Result   : Unsatisfiable 0.17s 0.50s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  23 unt;   0 def)
%            Number of atoms       :   23 (  22 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   2 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   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f893,plain,
    $false,
    inference(subsumption_resolution,[],[f21,f517]) ).

fof(f517,plain,
    ! [X2,X0,X1] : mult(X1,ld(X1,X0)) = ld(ld(X1,X2),mult(ld(X1,X2),X0)),
    inference(superposition,[],[f84,f35]) ).

fof(f35,plain,
    ! [X0] : mult(ld(X0,X0),X0) = X0,
    inference(backward_demodulation,[],[f13,f31]) ).

fof(f31,plain,
    ! [X0] : rd(X0,X0) = ld(X0,X0),
    inference(forward_demodulation,[],[f27,f11]) ).

fof(f11,plain,
    ! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
    inference(superposition,[],[f3,f9]) ).

fof(f9,plain,
    ! [X0] : mult(X0,ld(X0,X0)) = X0,
    inference(superposition,[],[f3,f1]) ).

fof(f1,axiom,
    ! [X0] : ld(X0,mult(X0,X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).

fof(f3,axiom,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

fof(f27,plain,
    ! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
    inference(superposition,[],[f15,f24]) ).

fof(f24,plain,
    ! [X0,X1] : mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
    inference(forward_demodulation,[],[f23,f3]) ).

fof(f23,plain,
    ! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
    inference(forward_demodulation,[],[f7,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).

fof(f7,axiom,
    ! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).

fof(f15,plain,
    ! [X0] : rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
    inference(superposition,[],[f4,f13]) ).

fof(f13,plain,
    ! [X0] : mult(rd(X0,X0),X0) = X0,
    inference(superposition,[],[f4,f2]) ).

fof(f2,axiom,
    ! [X0] : rd(mult(X0,X0),X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

fof(f84,plain,
    ! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(X0,ld(X0,mult(X2,X3))),
    inference(backward_demodulation,[],[f61,f82]) ).

fof(f82,plain,
    ! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
    inference(forward_demodulation,[],[f66,f3]) ).

fof(f66,plain,
    ! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = ld(X0,mult(X0,mult(X1,X2))),
    inference(superposition,[],[f61,f1]) ).

fof(f61,plain,
    ! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
    inference(forward_demodulation,[],[f5,f3]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).

fof(f21,plain,
    ld(ld(x0,x1),mult(ld(x0,x1),x2)) != mult(x0,ld(x0,x2)),
    inference(forward_demodulation,[],[f8,f3]) ).

fof(f8,axiom,
    ld(ld(x0,x1),mult(ld(x0,x1),x2)) != ld(x0,mult(x0,x2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP682-10 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n026.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Aug 29 22:59:05 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.17/0.44  % (28685)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)
% 0.17/0.44  % (28693)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.17/0.48  % (28677)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.48  % (28677)Instruction limit reached!
% 0.17/0.48  % (28677)------------------------------
% 0.17/0.48  % (28677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48  % (28677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48  % (28677)Termination reason: Unknown
% 0.17/0.48  % (28677)Termination phase: Saturation
% 0.17/0.48  
% 0.17/0.48  % (28677)Memory used [KB]: 5373
% 0.17/0.48  % (28677)Time elapsed: 0.097 s
% 0.17/0.48  % (28677)Instructions burned: 2 (million)
% 0.17/0.48  % (28677)------------------------------
% 0.17/0.48  % (28677)------------------------------
% 0.17/0.48  % (28683)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)
% 0.17/0.49  % (28691)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)
% 0.17/0.49  % (28692)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)
% 0.17/0.49  % (28676)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.17/0.49  % (28684)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)
% 0.17/0.50  % (28685)First to succeed.
% 0.17/0.50  % (28676)Instruction limit reached!
% 0.17/0.50  % (28676)------------------------------
% 0.17/0.50  % (28676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (28676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (28676)Termination reason: Unknown
% 0.17/0.50  % (28676)Termination phase: Saturation
% 0.17/0.50  
% 0.17/0.50  % (28676)Memory used [KB]: 5500
% 0.17/0.50  % (28676)Time elapsed: 0.107 s
% 0.17/0.50  % (28676)Instructions burned: 7 (million)
% 0.17/0.50  % (28676)------------------------------
% 0.17/0.50  % (28676)------------------------------
% 0.17/0.50  % (28685)Refutation found. Thanks to Tanya!
% 0.17/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50  % (28685)------------------------------
% 0.17/0.50  % (28685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (28685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (28685)Termination reason: Refutation
% 0.17/0.50  
% 0.17/0.50  % (28685)Memory used [KB]: 6140
% 0.17/0.50  % (28685)Time elapsed: 0.099 s
% 0.17/0.50  % (28685)Instructions burned: 48 (million)
% 0.17/0.50  % (28685)------------------------------
% 0.17/0.50  % (28685)------------------------------
% 0.17/0.50  % (28668)Success in time 0.163 s
%------------------------------------------------------------------------------