%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG070+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 : n026.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 3.48s 1.47s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 15 unt; 2 def)
% Number of atoms : 80 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 33 ~; 31 |; 5 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f60,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2590) ).
fof(f61,conjecture,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f62,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f68,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(flattening,[],[f62]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f76,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f75]) ).
fof(f100,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f101,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f100]) ).
fof(f136,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f162,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f205,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f207,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f209,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f216,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f60]) ).
fof(f217,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f68]) ).
fof(f260,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(resolution,[],[f162,f217]) ).
fof(f263,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(forward_subsumption_resolution,[],[f260,f216]) ).
fof(f265,definition,
( spl2_5
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f267,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl2_5 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f269,definition,
( spl2_6
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f271,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl2_6 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f273,plain,
( ~ spl2_6
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f263,f265,f269]) ).
fof(f274,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| spl2_5 ),
inference(resolution,[],[f267,f136]) ).
fof(f275,plain,
( ~ aScalar0(xS)
| spl2_5 ),
inference(forward_subsumption_resolution,[],[f274,f205]) ).
fof(f276,plain,
( $false
| spl2_5 ),
inference(forward_subsumption_resolution,[],[f275,f209]) ).
fof(f277,plain,
spl2_5,
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f310,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_6 ),
inference(resolution,[],[f271,f136]) ).
fof(f311,plain,
( ~ aScalar0(xP)
| spl2_6 ),
inference(duplicate_literal_removal,[],[f310]) ).
fof(f312,plain,
( $false
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f311,f207]) ).
fof(f313,plain,
spl2_6,
inference(avatar_contradiction_clause,[],[f312]) ).
cnf(s5,plain,
( ~ spl2_5
| ~ spl2_6 ),
inference(sat_conversion,[],[f273]) ).
cnf(s6,plain,
spl2_5,
inference(sat_conversion,[],[f277]) ).
cnf(s7,plain,
spl2_6,
inference(sat_conversion,[],[f313]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s5,s7,s6]) ).
fof(f314,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG070+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 23:10:57 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 3.48/1.47 % (3317962)Detected formulas, will run a generic FOF schedule.
% 3.48/1.47 % (3317969)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=1253246735:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.48/1.47 % (3317968)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=3860074494:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.48/1.47 % (3317967)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=2752436194:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.48/1.47 % (3317972)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1472887770:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.48/1.47 % (3317971)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=980385239:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.48/1.47 % (3317970)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1265636722:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.48/1.47 % (3317973)dis-21_1_sil=8000:lcm=predicate:random_seed=2375035423: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)
% 3.48/1.47 % (3317972)First to succeed.
% 3.48/1.47 % (3317971)Also succeeded, but the first one will report.
% 3.48/1.47 % (3317972)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3317962"
% 3.48/1.47 % (3317973)Also succeeded, but the first one will report.
% 3.48/1.47 % (3317970)Also succeeded, but the first one will report.
% 3.48/1.47 % (3317972)Refutation found. Thanks to Tanya!
% 3.48/1.47 % SZS status Theorem for theBenchmark
% 3.48/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.48 % (3317972)------------------------------
% 3.48/1.48 % (3317972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.48 % (3317972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.48 % (3317972)CaDiCaL version: 2.1.3
% 3.48/1.48 % (3317972)Termination reason: Refutation
% 3.48/1.48 % (3317972)Time elapsed: 0.007 s
% 3.48/1.48 % (3317972)Peak memory usage: 90 MB
% 3.48/1.48 % (3317972)Instructions burned: 8 (million)
% 3.48/1.48 % (3317972)------------------------------
% 3.48/1.48 % (3317972)------------------------------
% 3.48/1.48 % (3317962)Success in time 0.412 s
% 3.48/1.48 % Vampire exiting
%------------------------------------------------------------------------------