TSTP Solution File: RNG121+4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG121+4 : 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 : n032.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 : Tue Apr 30 14:53:12 EDT 2024
% Result : Theorem 0.13s 0.32s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 104 ( 36 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 100 ( 20 ~; 17 |; 58 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 33 ( 9 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f775,plain,
$false,
inference(resolution,[],[f774,f298]) ).
fof(f298,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( aElementOf0(xb,slsdtgt0(xb))
& xb = sdtasdt0(xb,sK19)
& aElement0(sK19)
& aElementOf0(sz00,slsdtgt0(xb))
& sz00 = sdtasdt0(xb,sK20)
& aElement0(sK20)
& aElementOf0(xa,slsdtgt0(xa))
& xa = sdtasdt0(xa,sK21)
& aElement0(sK21)
& aElementOf0(sz00,slsdtgt0(xa))
& sz00 = sdtasdt0(xa,sK22)
& aElement0(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22])],[f58,f165,f164,f163,f162]) ).
fof(f162,plain,
( ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
=> ( xb = sdtasdt0(xb,sK19)
& aElement0(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
( ? [X1] :
( sz00 = sdtasdt0(xb,X1)
& aElement0(X1) )
=> ( sz00 = sdtasdt0(xb,sK20)
& aElement0(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( ? [X2] :
( xa = sdtasdt0(xa,X2)
& aElement0(X2) )
=> ( xa = sdtasdt0(xa,sK21)
& aElement0(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
( ? [X3] :
( sz00 = sdtasdt0(xa,X3)
& aElement0(X3) )
=> ( sz00 = sdtasdt0(xa,sK22)
& aElement0(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( aElementOf0(xb,slsdtgt0(xb))
& ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [X1] :
( sz00 = sdtasdt0(xb,X1)
& aElement0(X1) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X2] :
( xa = sdtasdt0(xa,X2)
& aElement0(X2) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X3] :
( sz00 = sdtasdt0(xa,X3)
& aElement0(X3) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
( aElementOf0(xb,slsdtgt0(xb))
& ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [X0] :
( sz00 = sdtasdt0(xb,X0)
& aElement0(X0) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X0] :
( xa = sdtasdt0(xa,X0)
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X0] :
( sz00 = sdtasdt0(xa,X0)
& aElement0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
fof(f774,plain,
~ aElementOf0(xb,slsdtgt0(xb)),
inference(resolution,[],[f746,f289]) ).
fof(f289,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cnf_transformation,[],[f166]) ).
fof(f746,plain,
( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(xb,slsdtgt0(xb)) ),
inference(trivial_inequality_removal,[],[f714]) ).
fof(f714,plain,
( xb != xb
| ~ aElementOf0(xb,slsdtgt0(xb))
| ~ aElementOf0(sz00,slsdtgt0(xa)) ),
inference(superposition,[],[f243,f599]) ).
fof(f599,plain,
xb = sdtpldt0(sz00,xb),
inference(resolution,[],[f345,f286]) ).
fof(f286,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
fof(f345,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f243,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xb
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ~ aElementOf0(xb,xI)
& ! [X0,X1] :
( sdtpldt0(X0,X1) != xb
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) )
& ! [X2,X3] :
( xb != sdtpldt0(X2,X3)
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
~ ( aElementOf0(xb,xI)
| ? [X0,X1] :
( sdtpldt0(X0,X1) = xb
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) )
| ? [X2,X3] :
( xb = sdtpldt0(X2,X3)
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( aElementOf0(xb,xI)
| ? [X0,X1] :
( sdtpldt0(X0,X1) = xb
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) )
| ? [X0,X1] :
( sdtpldt0(X0,X1) = xb
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( aElementOf0(xb,xI)
| ? [X0,X1] :
( sdtpldt0(X0,X1) = xb
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) )
| ? [X0,X1] :
( sdtpldt0(X0,X1) = xb
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : RNG121+4 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 02:16:50 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (18797)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.30 % (18799)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.30 % (18801)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.30 % (18804)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)
% 0.09/0.31 % (18800)WARNING: value z3 for option sas not known
% 0.09/0.31 % (18803)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)
% 0.09/0.31 % (18798)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.31 % (18800)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)
% 0.09/0.31 % (18802)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)
% 0.09/0.31 TRYING [1]
% 0.09/0.31 TRYING [2]
% 0.13/0.32 TRYING [1]
% 0.13/0.32 TRYING [3]
% 0.13/0.32 % (18803)First to succeed.
% 0.13/0.32 TRYING [2]
% 0.13/0.32 % (18803)Refutation found. Thanks to Tanya!
% 0.13/0.32 % SZS status Theorem for theBenchmark
% 0.13/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.32 % (18803)------------------------------
% 0.13/0.32 % (18803)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.32 % (18803)Termination reason: Refutation
% 0.13/0.32
% 0.13/0.32 % (18803)Memory used [KB]: 1409
% 0.13/0.32 % (18803)Time elapsed: 0.018 s
% 0.13/0.32 % (18803)Instructions burned: 39 (million)
% 0.13/0.32 % (18803)------------------------------
% 0.13/0.32 % (18803)------------------------------
% 0.13/0.32 % (18797)Success in time 0.033 s
%------------------------------------------------------------------------------