%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG072+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 : n015.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 12:35:23 PM UTC 2026
% Result : Theorem 2.77s 1.37s
% Output : Refutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 88 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 111 ( 55 ~; 43 |; 10 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f61,axiom,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2610) ).
fof(f62,axiom,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2628) ).
fof(f63,conjecture,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f64,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f65,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(flattening,[],[f64]) ).
fof(f104,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f105,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f104]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f111]) ).
fof(f150,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f152,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f154,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f162,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f61]) ).
fof(f164,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f62]) ).
fof(f165,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnf_transformation,[],[f65]) ).
fof(f192,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f197,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f112]) ).
fof(f979,plain,
( ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(resolution,[],[f197,f165]) ).
fof(f1027,plain,
( ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(duplicate_literal_removal,[],[f979]) ).
fof(f1055,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(forward_subsumption_resolution,[],[f1027,f162]) ).
fof(f1077,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(forward_subsumption_resolution,[],[f1055,f164]) ).
fof(f1082,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(xP)
| ~ aScalar0(xP) ),
inference(resolution,[],[f1077,f192]) ).
fof(f1083,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(xP) ),
inference(duplicate_literal_removal,[],[f1082]) ).
fof(f1084,plain,
~ aScalar0(sdtpldt0(xR,xS)),
inference(forward_subsumption_resolution,[],[f1083,f152]) ).
fof(f1085,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(resolution,[],[f1084,f192]) ).
fof(f1086,plain,
~ aScalar0(xS),
inference(forward_subsumption_resolution,[],[f1085,f150]) ).
fof(f1087,plain,
$false,
inference(forward_subsumption_resolution,[],[f1086,f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG072+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n015.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 23:12:02 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 2.77/1.37 % (2119083)Detected formulas, will run a generic FOF schedule.
% 2.77/1.37 % (2119092)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4133750479:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.77/1.37 % (2119092)First to succeed.
% 2.77/1.37 % (2119092)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2119083"
% 2.77/1.37 % (2119091)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3953951336:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.77/1.37 % (2119088)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=4038236866:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.77/1.37 % (2119090)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=1632165830:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.77/1.37 % (2119089)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=1063277876:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.77/1.37 % (2119091)Also succeeded, but the first one will report.
% 2.77/1.37 % (2119094)dis-21_1_sil=8000:lcm=predicate:random_seed=2397276371: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)
% 2.77/1.37 % (2119093)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1995287097:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.77/1.37 % (2119094)Instruction limit reached!
% 2.77/1.37 % (2119094)------------------------------
% 2.77/1.37 % (2119094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.37 % (2119094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.37 % (2119094)CaDiCaL version: 2.1.3
% 2.77/1.37 % (2119094)Termination reason: Instruction limit
% 2.77/1.37 % (2119094)Termination phase: Saturation
% 2.77/1.37 % (2119094)Time elapsed: 0.076 s
% 2.77/1.37 % (2119094)Peak memory usage: 89 MB
% 2.77/1.37 % (2119094)Instructions burned: 130 (million)
% 2.77/1.37 % (2119093)Instruction limit reached!
% 2.77/1.37 % (2119093)------------------------------
% 2.77/1.37 % (2119093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.37 % (2119093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.37 % (2119093)CaDiCaL version: 2.1.3
% 2.77/1.37 % (2119093)Termination reason: Instruction limit
% 2.77/1.37 % (2119093)Termination phase: Saturation
% 2.77/1.37 % (2119093)Time elapsed: 0.091 s
% 2.77/1.37 % (2119093)Peak memory usage: 90 MB
% 2.77/1.37 % (2119093)Instructions burned: 139 (million)
% 2.77/1.37 % (2119092)Refutation found. Thanks to Tanya!
% 2.77/1.37 % SZS status Theorem for theBenchmark
% 2.77/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.77/1.37 % (2119092)------------------------------
% 2.77/1.37 % (2119092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.37 % (2119092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.37 % (2119092)CaDiCaL version: 2.1.3
% 2.77/1.37 % (2119092)Termination reason: Refutation
% 2.77/1.37 % (2119092)Time elapsed: 0.012 s
% 2.77/1.37 % (2119092)Peak memory usage: 88 MB
% 2.77/1.37 % (2119092)Instructions burned: 34 (million)
% 2.77/1.37 % (2119092)------------------------------
% 2.77/1.37 % (2119092)------------------------------
% 2.77/1.37 % (2119083)Success in time 0.315 s
% 2.77/1.37 % Vampire exiting
%------------------------------------------------------------------------------