TSTP Solution File: GRP710-10 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP710-10 : 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 : n019.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 16:23:54 EDT 2022

% Result   : Unsatisfiable 1.46s 0.55s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (  21 unt;   0 def)
%            Number of atoms       :   21 (  20 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    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f635,plain,
    $false,
    inference(equality_resolution,[],[f623]) ).

fof(f623,plain,
    ! [X25] : x1 != X25,
    inference(superposition,[],[f171,f559]) ).

fof(f559,plain,
    ! [X24,X23] : mult(X23,mult(i(X23),X24)) = X24,
    inference(forward_demodulation,[],[f541,f488]) ).

fof(f488,plain,
    ! [X16,X17] : mult(i(mult(X16,X16)),mult(X16,mult(X16,X17))) = X17,
    inference(forward_demodulation,[],[f446,f2]) ).

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

fof(f446,plain,
    ! [X16,X17] : mult(unit,X17) = mult(i(mult(X16,X16)),mult(X16,mult(X16,X17))),
    inference(superposition,[],[f36,f5]) ).

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

fof(f36,plain,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
    inference(backward_demodulation,[],[f3,f26]) ).

fof(f26,plain,
    ! [X3,X4] : mult(mult(X3,X4),X4) = mult(X3,mult(X4,X4)),
    inference(forward_demodulation,[],[f22,f1]) ).

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

fof(f22,plain,
    ! [X3,X4] : mult(X3,mult(X4,mult(X4,unit))) = mult(mult(X3,X4),X4),
    inference(superposition,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).

fof(f541,plain,
    ! [X24,X23] : mult(i(mult(i(X23),i(X23))),mult(i(X23),mult(i(X23),X24))) = mult(X23,mult(i(X23),X24)),
    inference(superposition,[],[f488,f167]) ).

fof(f167,plain,
    ! [X0,X1] : mult(i(X0),X1) = mult(i(X0),mult(X0,mult(i(X0),X1))),
    inference(superposition,[],[f30,f35]) ).

fof(f35,plain,
    ! [X2,X3] : mult(i(X2),X3) = mult(X2,mult(i(X2),mult(i(X2),X3))),
    inference(forward_demodulation,[],[f16,f2]) ).

fof(f16,plain,
    ! [X2,X3] : mult(X2,mult(i(X2),mult(i(X2),X3))) = mult(mult(unit,i(X2)),X3),
    inference(superposition,[],[f3,f4]) ).

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

fof(f30,plain,
    ! [X10,X11] : mult(X10,X11) = mult(i(X10),mult(X10,mult(X10,X11))),
    inference(forward_demodulation,[],[f19,f2]) ).

fof(f19,plain,
    ! [X10,X11] : mult(mult(unit,X10),X11) = mult(i(X10),mult(X10,mult(X10,X11))),
    inference(superposition,[],[f3,f5]) ).

fof(f171,plain,
    ! [X7] : x1 != mult(i(x0),X7),
    inference(superposition,[],[f6,f35]) ).

fof(f6,axiom,
    ! [X3] : mult(x0,X3) != x1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP710-10 : TPTP v8.1.0. Released v8.1.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 29 22:50:05 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.50  % (28637)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)
% 0.21/0.50  % (28647)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.51  % (28642)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)
% 0.21/0.51  % (28645)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.52  % (28645)Instruction limit reached!
% 0.21/0.52  % (28645)------------------------------
% 0.21/0.52  % (28645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (28655)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.21/0.52  % (28653)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)
% 0.21/0.52  % (28645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (28645)Termination reason: Unknown
% 0.21/0.52  % (28645)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (28645)Memory used [KB]: 5373
% 0.21/0.52  % (28645)Time elapsed: 0.109 s
% 0.21/0.52  % (28645)Instructions burned: 3 (million)
% 0.21/0.52  % (28645)------------------------------
% 0.21/0.52  % (28645)------------------------------
% 0.21/0.52  % (28646)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)
% 0.21/0.52  % (28643)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)
% 0.21/0.52  TRYING [1]
% 0.21/0.52  TRYING [2]
% 0.21/0.52  TRYING [3]
% 0.21/0.53  % (28660)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)
% 0.21/0.53  % (28636)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)
% 0.21/0.53  TRYING [1]
% 0.21/0.53  TRYING [2]
% 0.21/0.53  TRYING [3]
% 0.21/0.53  % (28640)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53  % (28656)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)
% 0.21/0.53  % (28638)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)
% 0.21/0.54  % (28665)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.21/0.54  % (28662)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.21/0.54  % (28639)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)
% 0.21/0.54  % (28657)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)
% 0.21/0.54  % (28649)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.21/0.54  % (28659)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)
% 0.21/0.54  % (28664)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)
% 0.21/0.55  % (28658)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.21/0.55  TRYING [4]
% 1.46/0.55  % (28650)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.46/0.55  % (28642)First to succeed.
% 1.46/0.55  % (28666)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)
% 1.46/0.55  % (28663)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)
% 1.46/0.55  TRYING [4]
% 1.46/0.55  % (28648)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)
% 1.46/0.55  TRYING [5]
% 1.46/0.55  % (28642)Refutation found. Thanks to Tanya!
% 1.46/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.46/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.55  % (28642)------------------------------
% 1.46/0.55  % (28642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55  % (28642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55  % (28642)Termination reason: Refutation
% 1.46/0.55  
% 1.46/0.55  % (28642)Memory used [KB]: 5756
% 1.46/0.55  % (28642)Time elapsed: 0.142 s
% 1.46/0.55  % (28642)Instructions burned: 26 (million)
% 1.46/0.55  % (28642)------------------------------
% 1.46/0.55  % (28642)------------------------------
% 1.46/0.55  % (28632)Success in time 0.193 s
%------------------------------------------------------------------------------