TSTP Solution File: RNG103+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG103+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 : Sun May 5 08:57:16 EDT 2024
% Result : Theorem 239.77s 34.52s
% Output : Refutation 239.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 18 unt; 0 def)
% Number of atoms : 96 ( 35 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 98 ( 45 ~; 41 |; 9 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f226108,plain,
$false,
inference(trivial_inequality_removal,[],[f226101]) ).
fof(f226101,plain,
sdtpldt0(xx,xy) != sdtpldt0(xx,xy),
inference(superposition,[],[f175,f226086]) ).
fof(f226086,plain,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(forward_demodulation,[],[f226085,f75393]) ).
fof(f75393,plain,
sdtpldt0(xx,xy) = sdtpldt0(xy,xx),
inference(resolution,[],[f75391,f176]) ).
fof(f176,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1905) ).
fof(f75391,plain,
( ~ aElement0(xc)
| sdtpldt0(xx,xy) = sdtpldt0(xy,xx) ),
inference(resolution,[],[f75352,f179]) ).
fof(f179,plain,
aElement0(xv),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( xy = sdtasdt0(xc,xv)
& aElement0(xv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1979) ).
fof(f75352,plain,
( ~ aElement0(xv)
| sdtpldt0(xx,xy) = sdtpldt0(xy,xx)
| ~ aElement0(xc) ),
inference(duplicate_literal_removal,[],[f75338]) ).
fof(f75338,plain,
( ~ aElement0(xc)
| sdtpldt0(xx,xy) = sdtpldt0(xy,xx)
| ~ aElement0(xv)
| ~ aElement0(xc) ),
inference(resolution,[],[f75275,f410]) ).
fof(f410,plain,
( aElement0(xy)
| ~ aElement0(xv)
| ~ aElement0(xc) ),
inference(superposition,[],[f258,f180]) ).
fof(f180,plain,
xy = sdtasdt0(xc,xv),
inference(cnf_transformation,[],[f41]) ).
fof(f258,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f75275,plain,
! [X0] :
( ~ aElement0(xc)
| ~ aElement0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(xx,X0) ),
inference(resolution,[],[f829,f177]) ).
fof(f177,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( xx = sdtasdt0(xc,xu)
& aElement0(xu) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1956) ).
fof(f829,plain,
! [X0] :
( ~ aElement0(xu)
| ~ aElement0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(xx,X0)
| ~ aElement0(xc) ),
inference(resolution,[],[f259,f409]) ).
fof(f409,plain,
( aElement0(xx)
| ~ aElement0(xu)
| ~ aElement0(xc) ),
inference(superposition,[],[f258,f178]) ).
fof(f178,plain,
xx = sdtasdt0(xc,xu),
inference(cnf_transformation,[],[f40]) ).
fof(f259,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f226085,plain,
sdtasdt0(xc,sdtpldt0(xu,xv)) = sdtpldt0(xy,xx),
inference(forward_demodulation,[],[f226084,f947]) ).
fof(f947,plain,
sdtpldt0(xu,xv) = sdtpldt0(xv,xu),
inference(resolution,[],[f832,f179]) ).
fof(f832,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,xu) = sdtpldt0(xu,X0) ),
inference(resolution,[],[f259,f177]) ).
fof(f226084,plain,
sdtpldt0(xy,xx) = sdtasdt0(xc,sdtpldt0(xv,xu)),
inference(forward_demodulation,[],[f226068,f180]) ).
fof(f226068,plain,
sdtasdt0(xc,sdtpldt0(xv,xu)) = sdtpldt0(sdtasdt0(xc,xv),xx),
inference(resolution,[],[f22016,f179]) ).
fof(f22016,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xc,sdtpldt0(X0,xu)) = sdtpldt0(sdtasdt0(xc,X0),xx) ),
inference(forward_demodulation,[],[f21971,f178]) ).
fof(f21971,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xc,sdtpldt0(X0,xu)) = sdtpldt0(sdtasdt0(xc,X0),sdtasdt0(xc,xu)) ),
inference(resolution,[],[f3080,f176]) ).
fof(f3080,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X1,sdtpldt0(X0,xu)) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,xu)) ),
inference(resolution,[],[f280,f177]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f175,plain,
sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(flattening,[],[f43]) ).
fof(f43,negated_conjecture,
sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(negated_conjecture,[],[f42]) ).
fof(f42,conjecture,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG103+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 18:20:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (19969)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (19972)WARNING: value z3 for option sas not known
% 0.14/0.36 % (19972)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37 % (19973)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (19971)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (19970)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (19974)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.37 % (19975)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.37 % (19976)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.39 TRYING [3]
% 0.20/0.44 TRYING [4]
% 0.20/0.45 TRYING [4]
% 1.58/0.60 TRYING [5]
% 1.58/0.61 TRYING [5]
% 5.24/1.09 TRYING [6]
% 5.24/1.14 TRYING [6]
% 7.81/1.47 TRYING [1]
% 7.81/1.47 TRYING [2]
% 7.81/1.47 TRYING [3]
% 8.03/1.51 TRYING [4]
% 9.05/1.65 TRYING [5]
% 12.46/2.14 TRYING [7]
% 12.46/2.14 TRYING [6]
% 12.68/2.20 TRYING [7]
% 22.57/3.55 TRYING [7]
% 31.71/4.85 TRYING [8]
% 31.93/4.91 TRYING [8]
% 44.35/6.74 TRYING [8]
% 66.10/9.83 TRYING [9]
% 76.50/11.24 TRYING [9]
% 96.54/14.14 TRYING [9]
% 125.11/18.17 TRYING [10]
% 152.32/22.04 TRYING [10]
% 202.06/29.15 TRYING [10]
% 239.77/34.49 % (19975)First to succeed.
% 239.77/34.49 % (19975)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19969"
% 239.77/34.52 % (19975)Refutation found. Thanks to Tanya!
% 239.77/34.52 % SZS status Theorem for theBenchmark
% 239.77/34.52 % SZS output start Proof for theBenchmark
% See solution above
% 239.77/34.52 % (19975)------------------------------
% 239.77/34.52 % (19975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 239.77/34.52 % (19975)Termination reason: Refutation
% 239.77/34.52
% 239.77/34.52 % (19975)Memory used [KB]: 259852
% 239.77/34.52 % (19975)Time elapsed: 34.128 s
% 239.77/34.52 % (19975)Instructions burned: 81392 (million)
% 239.77/34.52 % (19969)Success in time 33.927 s
%------------------------------------------------------------------------------