TSTP Solution File: RNG104+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG104+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 : n008.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 5.74s 1.16s
% Output : Refutation 5.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 14 unt; 0 def)
% Number of atoms : 76 ( 24 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 36 ~; 31 |; 7 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17433,plain,
$false,
inference(trivial_inequality_removal,[],[f17426]) ).
fof(f17426,plain,
sdtasdt0(xx,xz) != sdtasdt0(xx,xz),
inference(superposition,[],[f8782,f17409]) ).
fof(f17409,plain,
sdtasdt0(xc,sdtasdt0(xu,xz)) = sdtasdt0(xx,xz),
inference(resolution,[],[f9669,f185]) ).
fof(f185,plain,
aElement0(xz),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& aElementOf0(xx,slsdtgt0(xc)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).
fof(f9669,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xx,X0) = sdtasdt0(xc,sdtasdt0(xu,X0)) ),
inference(forward_demodulation,[],[f9633,f182]) ).
fof(f182,plain,
xx = sdtasdt0(xc,xu),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( xx = sdtasdt0(xc,xu)
& aElement0(xu) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1956) ).
fof(f9633,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(xc,xu),X0) = sdtasdt0(xc,sdtasdt0(xu,X0)) ),
inference(resolution,[],[f2330,f177]) ).
fof(f177,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1905) ).
fof(f2330,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X1,xu),X0) = sdtasdt0(X1,sdtasdt0(xu,X0)) ),
inference(resolution,[],[f281,f181]) ).
fof(f181,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f8782,plain,
sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xx,xz),
inference(backward_demodulation,[],[f176,f8778]) ).
fof(f8778,plain,
sdtasdt0(xz,xx) = sdtasdt0(xx,xz),
inference(resolution,[],[f8776,f177]) ).
fof(f8776,plain,
( ~ aElement0(xc)
| sdtasdt0(xz,xx) = sdtasdt0(xx,xz) ),
inference(resolution,[],[f1018,f181]) ).
fof(f1018,plain,
( ~ aElement0(xu)
| sdtasdt0(xz,xx) = sdtasdt0(xx,xz)
| ~ aElement0(xc) ),
inference(resolution,[],[f893,f411]) ).
fof(f411,plain,
( aElement0(xx)
| ~ aElement0(xu)
| ~ aElement0(xc) ),
inference(superposition,[],[f260,f182]) ).
fof(f260,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,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(f893,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,xz) = sdtasdt0(xz,X0) ),
inference(resolution,[],[f262,f185]) ).
fof(f262,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f176,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(flattening,[],[f44]) ).
fof(f44,negated_conjecture,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG104+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 18:18:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (29633)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (29636)WARNING: value z3 for option sas not known
% 0.22/0.38 % (29637)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (29635)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (29634)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (29638)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)
% 0.22/0.38 % (29639)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)
% 0.22/0.38 % (29636)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)
% 0.22/0.38 % (29640)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)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [3]
% 0.22/0.45 TRYING [4]
% 0.22/0.47 TRYING [4]
% 1.43/0.58 TRYING [5]
% 1.43/0.62 TRYING [5]
% 3.55/0.89 TRYING [6]
% 4.88/1.06 TRYING [6]
% 5.48/1.16 % (29639)First to succeed.
% 5.48/1.16 % (29639)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29633"
% 5.74/1.16 % (29639)Refutation found. Thanks to Tanya!
% 5.74/1.16 % SZS status Theorem for theBenchmark
% 5.74/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 5.74/1.16 % (29639)------------------------------
% 5.74/1.16 % (29639)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.74/1.16 % (29639)Termination reason: Refutation
% 5.74/1.16
% 5.74/1.16 % (29639)Memory used [KB]: 16304
% 5.74/1.16 % (29639)Time elapsed: 0.781 s
% 5.74/1.16 % (29639)Instructions burned: 2098 (million)
% 5.74/1.16 % (29633)Success in time 0.789 s
%------------------------------------------------------------------------------