TSTP Solution File: GRP657-10 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP657-10 : 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 : n020.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 16:23:26 EDT 2022

% Result   : Unsatisfiable 0.22s 0.56s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   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    :    6 (   6 usr;   0 con; 1-2 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f288,plain,
    $false,
    inference(trivial_inequality_removal,[],[f287]) ).

fof(f287,plain,
    ! [X57] : tuple(x1(ld(X57,X57)),x1_2(ld(X57,X57))) != tuple(x1(ld(X57,X57)),x1_2(ld(X57,X57))),
    inference(forward_demodulation,[],[f268,f173]) ).

fof(f173,plain,
    ! [X12,X13] : mult(ld(X12,X12),X13) = X13,
    inference(forward_demodulation,[],[f161,f4]) ).

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

fof(f161,plain,
    ! [X12,X13] : rd(mult(X13,X12),X12) = mult(ld(X12,X12),X13),
    inference(superposition,[],[f4,f141]) ).

fof(f141,plain,
    ! [X0,X1] : mult(mult(ld(X0,X0),X1),X0) = mult(X1,X0),
    inference(superposition,[],[f28,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).

fof(f28,plain,
    ! [X11,X12,X13] : ld(X11,mult(X12,mult(X13,X11))) = mult(mult(ld(X11,X12),X13),X11),
    inference(superposition,[],[f2,f13]) ).

fof(f13,plain,
    ! [X2,X0,X1] : mult(X1,mult(X2,X0)) = mult(X0,mult(mult(ld(X0,X1),X2),X0)),
    inference(superposition,[],[f5,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).

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

fof(f268,plain,
    ! [X57] : tuple(mult(ld(X57,X57),x1(ld(X57,X57))),x1_2(ld(X57,X57))) != tuple(x1(ld(X57,X57)),x1_2(ld(X57,X57))),
    inference(superposition,[],[f6,f211]) ).

fof(f211,plain,
    ! [X21,X19] : mult(X21,ld(X19,X19)) = X21,
    inference(forward_demodulation,[],[f193,f4]) ).

fof(f193,plain,
    ! [X21,X19,X20] : rd(mult(X21,mult(X20,X21)),mult(X20,X21)) = mult(X21,ld(X19,X19)),
    inference(superposition,[],[f19,f173]) ).

fof(f19,plain,
    ! [X2,X0,X1] : mult(X0,X1) = rd(mult(X0,mult(mult(X1,X2),X0)),mult(X2,X0)),
    inference(superposition,[],[f4,f5]) ).

fof(f6,axiom,
    ! [X3] : tuple(mult(X3,x1(X3)),mult(x1_2(X3),X3)) != tuple(x1(X3),x1_2(X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : GRP657-10 : TPTP v8.1.0. Released v8.1.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 29 22:45:00 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  % (28444)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.22/0.52  % (28437)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)
% 0.22/0.52  % (28460)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)
% 0.22/0.52  % (28445)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.22/0.53  % (28449)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.22/0.53  % (28452)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)
% 0.22/0.53  % (28453)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)
% 0.22/0.53  TRYING [1]
% 0.22/0.53  TRYING [2]
% 0.22/0.53  TRYING [3]
% 0.22/0.53  % (28444)Instruction limit reached!
% 0.22/0.53  % (28444)------------------------------
% 0.22/0.53  % (28444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53  TRYING [4]
% 0.22/0.54  % (28444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54  % (28444)Termination reason: Unknown
% 0.22/0.54  % (28444)Termination phase: Saturation
% 0.22/0.54  
% 0.22/0.54  % (28444)Memory used [KB]: 5500
% 0.22/0.54  % (28444)Time elapsed: 0.117 s
% 0.22/0.54  % (28444)Instructions burned: 7 (million)
% 0.22/0.54  % (28444)------------------------------
% 0.22/0.54  % (28444)------------------------------
% 0.22/0.54  % (28453)First to succeed.
% 0.22/0.54  % (28445)Instruction limit reached!
% 0.22/0.54  % (28445)------------------------------
% 0.22/0.54  % (28445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54  % (28445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54  % (28445)Termination reason: Unknown
% 0.22/0.54  % (28445)Termination phase: Saturation
% 0.22/0.54  
% 0.22/0.54  % (28445)Memory used [KB]: 5373
% 0.22/0.54  % (28445)Time elapsed: 0.128 s
% 0.22/0.54  % (28445)Instructions burned: 2 (million)
% 0.22/0.54  % (28445)------------------------------
% 0.22/0.54  % (28445)------------------------------
% 0.22/0.54  % (28457)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)
% 0.22/0.54  % (28459)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)
% 0.22/0.54  % (28441)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.22/0.55  % (28451)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)
% 0.22/0.55  % (28439)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)
% 0.22/0.55  % (28462)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.22/0.55  % (28447)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.22/0.55  % (28442)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)
% 0.22/0.55  % (28438)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)
% 0.22/0.55  % (28440)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)
% 0.22/0.55  % (28450)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.22/0.55  % (28443)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)
% 0.22/0.55  % (28448)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)
% 0.22/0.55  % (28461)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.22/0.56  % (28453)Refutation found. Thanks to Tanya!
% 0.22/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.56  % (28453)------------------------------
% 0.22/0.56  % (28453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56  % (28453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56  % (28453)Termination reason: Refutation
% 0.22/0.56  
% 0.22/0.56  % (28453)Memory used [KB]: 5628
% 0.22/0.56  % (28453)Time elapsed: 0.127 s
% 0.22/0.56  % (28453)Instructions burned: 16 (million)
% 0.22/0.56  % (28453)------------------------------
% 0.22/0.56  % (28453)------------------------------
% 0.22/0.56  % (28436)Success in time 0.185 s
%------------------------------------------------------------------------------