TSTP Solution File: RNG095+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG095+2 : 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 : n006.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 14:52:21 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 52 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 53 ( 21 ~; 13 |; 17 &)
% ( 0 <=>; 2 =>; 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; 3 con; 0-2 aty)
% Number of variables : 21 ( 11 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f354,plain,
$false,
inference(resolution,[],[f353,f130]) ).
fof(f130,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f353,plain,
~ aElement0(sz10),
inference(resolution,[],[f339,f126]) ).
fof(f126,plain,
! [X0] :
( aElementOf0(sK4(X0),xI)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ( aElementOf0(X0,sdtpldt1(xI,xJ))
& sdtpldt0(sK4(X0),sK5(X0)) = X0
& aElementOf0(sK5(X0),xJ)
& aElementOf0(sK4(X0),xI) )
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f40,f84]) ).
fof(f84,plain,
! [X0] :
( ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,xJ)
& aElementOf0(X1,xI) )
=> ( sdtpldt0(sK4(X0),sK5(X0)) = X0
& aElementOf0(sK5(X0),xJ)
& aElementOf0(sK4(X0),xI) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ( aElementOf0(X0,sdtpldt1(xI,xJ))
& ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,xJ)
& aElementOf0(X1,xI) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( aElement0(X0)
=> ( aElementOf0(X0,sdtpldt1(xI,xJ))
& ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,xJ)
& aElementOf0(X1,xI) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205_03) ).
fof(f339,plain,
~ aElementOf0(sK4(sz10),xI),
inference(resolution,[],[f338,f130]) ).
fof(f338,plain,
( ~ aElement0(sz10)
| ~ aElementOf0(sK4(sz10),xI) ),
inference(resolution,[],[f337,f127]) ).
fof(f127,plain,
! [X0] :
( aElementOf0(sK5(X0),xJ)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f337,plain,
( ~ aElementOf0(sK5(sz10),xJ)
| ~ aElementOf0(sK4(sz10),xI) ),
inference(trivial_inequality_removal,[],[f336]) ).
fof(f336,plain,
( sz10 != sz10
| ~ aElementOf0(sK5(sz10),xJ)
| ~ aElementOf0(sK4(sz10),xI) ),
inference(superposition,[],[f115,f323]) ).
fof(f323,plain,
sz10 = sdtpldt0(sK4(sz10),sK5(sz10)),
inference(resolution,[],[f128,f130]) ).
fof(f128,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sK4(X0),sK5(X0)) = X0 ),
inference(cnf_transformation,[],[f85]) ).
fof(f115,plain,
! [X0,X1] :
( sz10 != sdtpldt0(X0,X1)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( sz10 != sdtpldt0(X0,X1)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,negated_conjecture,
~ ? [X0,X1] :
( sz10 = sdtpldt0(X0,X1)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
? [X0,X1] :
( sz10 = sdtpldt0(X0,X1)
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG095+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 02:03:20 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (16937)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (16940)WARNING: value z3 for option sas not known
% 0.14/0.37 % (16941)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (16938)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (16942)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)
% 0.14/0.37 % (16939)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (16943)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)
% 0.14/0.37 % (16944)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)
% 0.14/0.37 % (16940)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (16943)First to succeed.
% 0.14/0.39 % (16943)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (16943)------------------------------
% 0.14/0.39 % (16943)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (16943)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (16943)Memory used [KB]: 991
% 0.14/0.39 % (16943)Time elapsed: 0.012 s
% 0.14/0.39 % (16943)Instructions burned: 16 (million)
% 0.14/0.39 % (16943)------------------------------
% 0.14/0.39 % (16943)------------------------------
% 0.14/0.39 % (16937)Success in time 0.017 s
%------------------------------------------------------------------------------