TSTP Solution File: RNG086+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG086+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 : n020.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 08:56:43 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 61 ( 16 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 58 ( 13 ~; 7 |; 36 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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; 9 con; 0-2 aty)
% Number of variables : 20 ( 4 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f171,plain,
$false,
inference(resolution,[],[f170,f102]) ).
fof(f102,plain,
aElementOf0(sK5,xI),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& xy = sdtpldt0(sK3,sK4)
& aElementOf0(sK4,xJ)
& aElementOf0(sK3,xI)
& aElementOf0(xx,sdtpldt1(xI,xJ))
& xx = sdtpldt0(sK5,sK6)
& aElementOf0(sK6,xJ)
& aElementOf0(sK5,xI) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f30,f74,f73]) ).
fof(f73,plain,
( ? [X0,X1] :
( sdtpldt0(X0,X1) = xy
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) )
=> ( xy = sdtpldt0(sK3,sK4)
& aElementOf0(sK4,xJ)
& aElementOf0(sK3,xI) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X2,X3] :
( xx = sdtpldt0(X2,X3)
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) )
=> ( xx = sdtpldt0(sK5,sK6)
& aElementOf0(sK6,xJ)
& aElementOf0(sK5,xI) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xy
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X2,X3] :
( xx = sdtpldt0(X2,X3)
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xy
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xx
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__901) ).
fof(f170,plain,
~ aElementOf0(sK5,xI),
inference(resolution,[],[f169,f103]) ).
fof(f103,plain,
aElementOf0(sK6,xJ),
inference(cnf_transformation,[],[f75]) ).
fof(f169,plain,
( ~ aElementOf0(sK6,xJ)
| ~ aElementOf0(sK5,xI) ),
inference(trivial_inequality_removal,[],[f167]) ).
fof(f167,plain,
( xx != xx
| ~ aElementOf0(sK6,xJ)
| ~ aElementOf0(sK5,xI) ),
inference(superposition,[],[f93,f104]) ).
fof(f104,plain,
xx = sdtpldt0(sK5,sK6),
inference(cnf_transformation,[],[f75]) ).
fof(f93,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xx
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xx
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ? [X0,X1] :
( sdtpldt0(X0,X1) = xx
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
? [X0,X1] :
( sdtpldt0(X0,X1) = xx
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG086+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
% 0.14/0.36 % Computer : n020.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 18:16:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (23566)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (23569)WARNING: value z3 for option sas not known
% 0.14/0.38 % (23567)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (23568)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (23570)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (23571)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)
% 0.14/0.38 % (23572)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)
% 0.14/0.38 % (23573)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)
% 0.14/0.38 % (23569)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 % (23572)First to succeed.
% 0.14/0.38 % (23571)Also succeeded, but the first one will report.
% 0.14/0.38 % (23572)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23566"
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.39 % (23572)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 % (23572)------------------------------
% 0.14/0.39 % (23572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (23572)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (23572)Memory used [KB]: 918
% 0.14/0.39 % (23572)Time elapsed: 0.006 s
% 0.14/0.39 % (23572)Instructions burned: 7 (million)
% 0.14/0.39 % (23566)Success in time 0.023 s
%------------------------------------------------------------------------------