TSTP Solution File: RNG086+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG086+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n013.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 : Wed Aug 31 18:14:53 EDT 2022
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 73 ( 19 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 71 ( 16 ~; 9 |; 44 &)
% ( 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 : 26 ( 6 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(subsumption_resolution,[],[f141,f94]) ).
fof(f94,plain,
aElementOf0(sK5,xJ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( aElementOf0(sK2,xJ)
& xy = sdtpldt0(sK3,sK2)
& aElementOf0(sK3,xI)
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElementOf0(sK4,xI)
& aElementOf0(sK5,xJ)
& xx = sdtpldt0(sK4,sK5)
& aElement0(xz) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f67,f69,f68]) ).
fof(f68,plain,
( ? [X0,X1] :
( aElementOf0(X0,xJ)
& sdtpldt0(X1,X0) = xy
& aElementOf0(X1,xI) )
=> ( aElementOf0(sK2,xJ)
& xy = sdtpldt0(sK3,sK2)
& aElementOf0(sK3,xI) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& xx = sdtpldt0(X2,X3) )
=> ( aElementOf0(sK4,xI)
& aElementOf0(sK5,xJ)
& xx = sdtpldt0(sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
( ? [X0,X1] :
( aElementOf0(X0,xJ)
& sdtpldt0(X1,X0) = xy
& aElementOf0(X1,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& xx = sdtpldt0(X2,X3) )
& aElement0(xz) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
( ? [X3,X2] :
( aElementOf0(X3,xJ)
& xy = sdtpldt0(X2,X3)
& aElementOf0(X2,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X1,X0] :
( aElementOf0(X1,xI)
& aElementOf0(X0,xJ)
& sdtpldt0(X1,X0) = xx )
& aElement0(xz) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
( aElement0(xz)
& ? [X1,X0] :
( sdtpldt0(X0,X1) = xx
& aElementOf0(X0,xI)
& aElementOf0(X1,xJ) )
& ? [X0,X1] :
( aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = xy
& aElementOf0(X0,xI) )
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElementOf0(xx,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__901) ).
fof(f141,plain,
~ aElementOf0(sK5,xJ),
inference(subsumption_resolution,[],[f140,f95]) ).
fof(f95,plain,
aElementOf0(sK4,xI),
inference(cnf_transformation,[],[f70]) ).
fof(f140,plain,
( ~ aElementOf0(sK4,xI)
| ~ aElementOf0(sK5,xJ) ),
inference(trivial_inequality_removal,[],[f139]) ).
fof(f139,plain,
( xx != xx
| ~ aElementOf0(sK5,xJ)
| ~ aElementOf0(sK4,xI) ),
inference(superposition,[],[f128,f93]) ).
fof(f93,plain,
xx = sdtpldt0(sK4,sK5),
inference(cnf_transformation,[],[f70]) ).
fof(f128,plain,
! [X0,X1] :
( sdtpldt0(X1,X0) != xx
| ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X1,xI) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xJ)
| sdtpldt0(X1,X0) != xx
| ~ aElementOf0(X1,xI) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( ~ aElementOf0(X1,xJ)
| sdtpldt0(X0,X1) != xx
| ~ aElementOf0(X0,xI) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ? [X0,X1] :
( aElementOf0(X1,xJ)
& aElementOf0(X0,xI)
& sdtpldt0(X0,X1) = xx ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
? [X0,X1] :
( aElementOf0(X1,xJ)
& aElementOf0(X0,xI)
& sdtpldt0(X0,X1) = xx ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG086+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.31 % Computer : n013.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Aug 30 12:00:31 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.17/0.45 % (27843)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.45 % (27833)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.45 % (27833)Instruction limit reached!
% 0.17/0.45 % (27833)------------------------------
% 0.17/0.45 % (27833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.46 % (27833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.46 % (27833)Termination reason: Unknown
% 0.17/0.46 % (27833)Termination phase: Clausification
% 0.17/0.46
% 0.17/0.46 % (27833)Memory used [KB]: 1535
% 0.17/0.46 % (27833)Time elapsed: 0.007 s
% 0.17/0.46 % (27833)Instructions burned: 3 (million)
% 0.17/0.46 % (27833)------------------------------
% 0.17/0.46 % (27833)------------------------------
% 0.17/0.46 % (27837)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.17/0.46 % (27849)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.47 % (27837)First to succeed.
% 0.17/0.47 % (27849)Instruction limit reached!
% 0.17/0.47 % (27849)------------------------------
% 0.17/0.47 % (27849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.47 % (27837)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (27837)------------------------------
% 0.17/0.47 % (27837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.47 % (27837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.47 % (27837)Termination reason: Refutation
% 0.17/0.47
% 0.17/0.47 % (27837)Memory used [KB]: 6012
% 0.17/0.47 % (27837)Time elapsed: 0.110 s
% 0.17/0.47 % (27837)Instructions burned: 4 (million)
% 0.17/0.47 % (27837)------------------------------
% 0.17/0.47 % (27837)------------------------------
% 0.17/0.47 % (27830)Success in time 0.151 s
%------------------------------------------------------------------------------