%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG116+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:35 PM UTC 2026
% Result : Theorem 2.64s 1.36s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 47 ( 19 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 45 ( 15 ~; 8 |; 22 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 14 ( 6 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,axiom,
( ? [X0] :
( aElement0(X0)
& sdtasdt0(xa,X0) = xk )
& aElementOf0(xk,slsdtgt0(xa))
& ? [X0] :
( aElement0(X0)
& sdtasdt0(xb,X0) = xl )
& aElementOf0(xl,slsdtgt0(xb))
& xu = sdtpldt0(xk,xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2456) ).
fof(f48,conjecture,
? [X0,X1] :
( aElement0(X0)
& aElement0(X1)
& xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f49,negated_conjecture,
~ ? [X0,X1] :
( aElement0(X0)
& aElement0(X1)
& xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f56,plain,
( ? [X0] :
( aElement0(X0)
& sdtasdt0(xa,X0) = xk )
& aElementOf0(xk,slsdtgt0(xa))
& ? [X1] :
( aElement0(X1)
& sdtasdt0(xb,X1) = xl )
& aElementOf0(xl,slsdtgt0(xb))
& xu = sdtpldt0(xk,xl) ),
inference(rectify,[],[f47]) ).
fof(f70,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
inference(ennf_transformation,[],[f49]) ).
fof(f130,plain,
( aElement0(sK23)
& xk = sdtasdt0(xa,sK23)
& aElementOf0(xk,slsdtgt0(xa))
& aElement0(sK24)
& xl = sdtasdt0(xb,sK24)
& aElementOf0(xl,slsdtgt0(xb))
& xu = sdtpldt0(xk,xl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X0,sK23),skolemize(X1,sK24)],[f56]) ).
fof(f230,plain,
xu = sdtpldt0(xk,xl),
inference(cnf_transformation,[],[f130]) ).
fof(f232,plain,
xl = sdtasdt0(xb,sK24),
inference(cnf_transformation,[],[f130]) ).
fof(f233,plain,
aElement0(sK24),
inference(cnf_transformation,[],[f130]) ).
fof(f235,plain,
xk = sdtasdt0(xa,sK23),
inference(cnf_transformation,[],[f130]) ).
fof(f236,plain,
aElement0(sK23),
inference(cnf_transformation,[],[f130]) ).
fof(f237,plain,
! [X0,X1] :
( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f338,plain,
! [X0] :
( xu != sdtpldt0(sdtasdt0(xa,X0),xl)
| ~ aElement0(sK24)
| ~ aElement0(X0) ),
inference(superposition,[],[f237,f232]) ).
fof(f339,plain,
! [X0] :
( xu != sdtpldt0(sdtasdt0(xa,X0),xl)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f338,f233]) ).
fof(f352,plain,
( xu != sdtpldt0(xk,xl)
| ~ aElement0(sK23) ),
inference(superposition,[],[f339,f235]) ).
fof(f353,plain,
~ aElement0(sK23),
inference(forward_subsumption_resolution,[],[f352,f230]) ).
fof(f354,plain,
$false,
inference(forward_subsumption_resolution,[],[f353,f236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG116+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n002.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 23:23:22 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.64/1.36 % (4002287)Detected formulas, will run a generic FOF schedule.
% 2.64/1.36 % (4002296)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1257320826:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.64/1.36 % (4002296)First to succeed.
% 2.64/1.36 % (4002296)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4002287"
% 2.64/1.36 % (4002295)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3191684253:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.64/1.36 % (4002292)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2880026038:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.64/1.36 % (4002294)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1272276322:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.64/1.36 % (4002293)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=112085504:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.64/1.36 % (4002297)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3479099751:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.64/1.36 % (4002298)dis-21_1_sil=8000:lcm=predicate:random_seed=1096594701:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.64/1.36 % (4002297)Also succeeded, but the first one will report.
% 2.64/1.36 % (4002295)Instruction limit reached!
% 2.64/1.36 % (4002295)------------------------------
% 2.64/1.36 % (4002295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.36 % (4002295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.36 % (4002295)CaDiCaL version: 2.1.3
% 2.64/1.36 % (4002295)Termination reason: Instruction limit
% 2.64/1.36 % (4002295)Termination phase: Saturation
% 2.64/1.36 % (4002295)Time elapsed: 0.071 s
% 2.64/1.36 % (4002295)Peak memory usage: 89 MB
% 2.64/1.36 % (4002295)Instructions burned: 111 (million)
% 2.64/1.36 % (4002298)Instruction limit reached!
% 2.64/1.36 % (4002298)------------------------------
% 2.64/1.36 % (4002298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.36 % (4002298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.36 % (4002298)CaDiCaL version: 2.1.3
% 2.64/1.36 % (4002298)Termination reason: Instruction limit
% 2.64/1.36 % (4002298)Termination phase: Saturation
% 2.64/1.36 % (4002298)Time elapsed: 0.061 s
% 2.64/1.36 % (4002298)Peak memory usage: 89 MB
% 2.64/1.36 % (4002298)Instructions burned: 130 (million)
% 2.64/1.36 % (4002296)Refutation found. Thanks to Tanya!
% 2.64/1.36 % SZS status Theorem for theBenchmark
% 2.64/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/1.36 % (4002296)------------------------------
% 2.64/1.36 % (4002296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.36 % (4002296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.36 % (4002296)CaDiCaL version: 2.1.3
% 2.64/1.36 % (4002296)Termination reason: Refutation
% 2.64/1.36 % (4002296)Time elapsed: 0.004 s
% 2.64/1.36 % (4002296)Peak memory usage: 88 MB
% 2.64/1.36 % (4002296)Instructions burned: 8 (million)
% 2.64/1.36 % (4002296)------------------------------
% 2.64/1.36 % (4002296)------------------------------
% 2.64/1.36 % (4002287)Success in time 0.294 s
% 2.64/1.36 % Vampire exiting
%------------------------------------------------------------------------------