%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG050+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:35:17 PM UTC 2026
% Result : Theorem 3.07s 1.17s
% Output : Refutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 64 ( 28 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 33 ~; 28 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( ( aDimensionOf0(X0) = aDimensionOf0(X1)
& aDimensionOf0(X1) = sz00 )
=> sdtasasdt0(X0,X1) = sz0z00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f37,axiom,
aVector0(xs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1542) ).
fof(f39,conjecture,
( ( aDimensionOf0(xs) != sz00
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ ( ( aDimensionOf0(xs) != sz00
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f48,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
& ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| sz00 = aDimensionOf0(xs) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f61,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f63,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sz0z00
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f64,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sz0z00
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f63]) ).
fof(f75,plain,
aVector0(xs),
inference(cnf_transformation,[],[f37]) ).
fof(f77,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| sz00 = aDimensionOf0(xs) ),
inference(cnf_transformation,[],[f48]) ).
fof(f78,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(cnf_transformation,[],[f48]) ).
fof(f83,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f87,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f89,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f98,plain,
sz00 = aDimensionOf0(xs),
inference(forward_subsumption_resolution,[],[f77,f78]) ).
fof(f145,plain,
! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,xs)
| sz00 != sz00
| ~ aVector0(X0)
| ~ aVector0(xs) ),
inference(superposition,[],[f89,f98]) ).
fof(f148,plain,
! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,xs)
| ~ aVector0(X0)
| ~ aVector0(xs) ),
inference(trivial_inequality_removal,[],[f145]) ).
fof(f150,plain,
! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,xs)
| ~ aVector0(X0) ),
inference(forward_subsumption_resolution,[],[f148,f75]) ).
fof(f171,plain,
( sz00 != sz00
| sz0z00 = sdtasasdt0(xs,xs)
| ~ aVector0(xs) ),
inference(superposition,[],[f150,f98]) ).
fof(f172,plain,
( sz0z00 = sdtasasdt0(xs,xs)
| ~ aVector0(xs) ),
inference(trivial_inequality_removal,[],[f171]) ).
fof(f173,plain,
sz0z00 = sdtasasdt0(xs,xs),
inference(forward_subsumption_resolution,[],[f172,f75]) ).
fof(f181,plain,
~ sdtlseqdt0(sz0z00,sz0z00),
inference(superposition,[],[f78,f173]) ).
fof(f185,plain,
~ aScalar0(sz0z00),
inference(resolution,[],[f181,f87]) ).
fof(f191,plain,
$false,
inference(forward_subsumption_resolution,[],[f185,f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG050+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 23:02:34 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.33 Running first-order theorem proving
% 0.08/0.33 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.07/1.17 % (2861471)Detected formulas, will run a generic FOF schedule.
% 3.07/1.17 % (2861516)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=4143528479:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.07/1.17 % (2861521)dis-21_1_sil=8000:lcm=predicate:random_seed=1909966243: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)
% 3.07/1.17 % (2861515)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=1660305838:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.07/1.17 % (2861520)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2609892775:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.07/1.17 % (2861517)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=3270182454:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.07/1.17 % (2861519)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1133183326:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.07/1.17 % (2861518)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=400567408:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.07/1.17 % (2861518)Refutation not found, incomplete strategy
% 3.07/1.17 % (2861518)------------------------------
% 3.07/1.17 % (2861518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.17 % (2861518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.17 % (2861518)CaDiCaL version: 2.1.3
% 3.07/1.17 % (2861518)Termination reason: Refutation not found, incomplete strategy
% 3.07/1.17 % (2861518)Time elapsed: 0.002 s
% 3.07/1.17 % (2861518)Peak memory usage: 88 MB
% 3.07/1.17 % (2861518)Instructions burned: 1 (million)
% 3.07/1.17 % (2861519)First to succeed.
% 3.07/1.17 % (2861519)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2861471"
% 3.07/1.17 % (2861520)Also succeeded, but the first one will report.
% 3.07/1.17 % (2861521)Instruction limit reached!
% 3.07/1.17 % (2861521)------------------------------
% 3.07/1.17 % (2861521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.17 % (2861521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.17 % (2861521)CaDiCaL version: 2.1.3
% 3.07/1.17 % (2861521)Termination reason: Instruction limit
% 3.07/1.17 % (2861521)Termination phase: Saturation
% 3.07/1.17 % (2861521)Time elapsed: 0.050 s
% 3.07/1.17 % (2861521)Peak memory usage: 89 MB
% 3.07/1.17 % (2861521)Instructions burned: 130 (million)
% 3.07/1.17 % (2861535)lrs+10_1_sil=8000:sp=occurrence:random_seed=3268215349:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.07/1.17 % (2861535)Also succeeded, but the first one will report.
% 3.07/1.17 % (2861518)------------------------------
% 3.07/1.17 % (2861518)------------------------------
% 3.07/1.17 % (2861519)Refutation found. Thanks to Tanya!
% 3.07/1.17 % SZS status Theorem for theBenchmark
% 3.07/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.07/1.17 % (2861519)------------------------------
% 3.07/1.17 % (2861519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.17 % (2861519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.17 % (2861519)CaDiCaL version: 2.1.3
% 3.07/1.17 % (2861519)Termination reason: Refutation
% 3.07/1.17 % (2861519)Time elapsed: 0.003 s
% 3.07/1.17 % (2861519)Peak memory usage: 88 MB
% 3.07/1.17 % (2861519)Instructions burned: 4 (million)
% 3.07/1.17 % (2861519)------------------------------
% 3.07/1.17 % (2861519)------------------------------
% 3.07/1.17 % (2861471)Success in time 0.378 s
% 3.07/1.17 % Vampire exiting
%------------------------------------------------------------------------------