%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG124+1 : 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 : n001.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 12:35:37 PM UTC 2026
% Result : ContradictoryAxioms 0.16s 1.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 34 ( 14 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 34 ( 14 ~; 9 |; 10 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,axiom,
( aElementOf0(xu,xI)
& xu != sz00
& ! [X0] :
( ( aElementOf0(X0,xI)
& X0 != sz00 )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).
fof(f50,axiom,
( aElement0(xq)
& aElement0(xr)
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& ( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).
fof(f51,axiom,
xr != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2673) ).
fof(f55,axiom,
aElementOf0(xr,xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2729) ).
fof(f63,plain,
( aElementOf0(xu,xI)
& xu != sz00
& ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| ~ aElementOf0(X0,xI)
| sz00 = X0 ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f64,plain,
( aElementOf0(xu,xI)
& xu != sz00
& ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| ~ aElementOf0(X0,xI)
| sz00 = X0 ) ),
inference(flattening,[],[f63]) ).
fof(f145,plain,
! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| ~ aElementOf0(X0,xI)
| sz00 = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f154,plain,
( sz00 = xr
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f158,plain,
sz00 != xr,
inference(cnf_transformation,[],[f51]) ).
fof(f162,plain,
aElementOf0(xr,xI),
inference(cnf_transformation,[],[f55]) ).
fof(f248,plain,
iLess0(sbrdtbr0(xr),sbrdtbr0(xu)),
inference(forward_subsumption_resolution,[],[f154,f158]) ).
fof(f300,plain,
( ~ aElementOf0(xr,xI)
| sz00 = xr ),
inference(resolution,[],[f145,f248]) ).
fof(f301,plain,
sz00 = xr,
inference(forward_subsumption_resolution,[],[f300,f162]) ).
fof(f302,plain,
$false,
inference(forward_subsumption_resolution,[],[f301,f158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG124+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:28:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.16/1.50 % (4082882)Detected formulas, will run a generic FOF schedule.
% 0.16/1.50 % (4082888)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=4219192705:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.16/1.50 % (4082889)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=1745129455:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.16/1.50 % (4082891)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3326817931:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.16/1.50 % (4082887)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=3623912797:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.16/1.50 % (4082893)dis-21_1_sil=8000:lcm=predicate:random_seed=4046407872: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)
% 0.16/1.50 % (4082892)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=214553442:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.16/1.50 % (4082890)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2314358879:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.16/1.50 % (4082891)First to succeed.
% 0.16/1.50 % (4082891)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4082882"
% 0.16/1.50 % (4082893)Also succeeded, but the first one will report.
% 0.16/1.50 % (4082892)Also succeeded, but the first one will report.
% 0.16/1.50 % (4082890)Also succeeded, but the first one will report.
% 0.16/1.50 % (4082891)Refutation found. Thanks to Tanya!
% 0.16/1.50 % SZS status ContradictoryAxioms for theBenchmark
% 0.16/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.50 % (4082891)------------------------------
% 0.16/1.50 % (4082891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (4082891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (4082891)CaDiCaL version: 2.1.3
% 0.16/1.50 % (4082891)Termination reason: Refutation
% 0.16/1.50 % (4082891)Time elapsed: 0.006 s
% 0.16/1.50 % (4082891)Peak memory usage: 88 MB
% 0.16/1.50 % (4082891)Instructions burned: 6 (million)
% 0.16/1.50 % (4082891)------------------------------
% 0.16/1.50 % (4082891)------------------------------
% 0.16/1.50 % (4082882)Success in time 0.447 s
% 0.16/1.50 % Vampire exiting
%------------------------------------------------------------------------------