%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG059+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:35:53 PM UTC 2026
% Result : Theorem 1.00s 0.59s
% Output : Refutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 17 unt; 2 def)
% Number of atoms : 94 ( 36 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 91 ( 38 ~; 31 |; 18 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f58,conjecture,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f59,negated_conjecture,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f65,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(flattening,[],[f59]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f78]) ).
fof(f84,plain,
! [X0,X1] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f85,plain,
! [X0,X1] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f84]) ).
fof(f132,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f144,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f151,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f202,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f206,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f207,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f211,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(cnf_transformation,[],[f65]) ).
fof(f262,definition,
( spl2_9
<=> ! [X0] : ~ aScalar0(X0) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f263,plain,
( ! [X0] : ~ aScalar0(X0)
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f264,plain,
( $false
| ~ spl2_9 ),
inference(resolution,[],[f263,f132]) ).
fof(f290,plain,
~ spl2_9,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f2036,definition,
( spl2_48
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_48])],[avatar_definition]) ).
fof(f2037,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0) )
| ~ spl2_48 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f2038,plain,
( spl2_9
| spl2_48 ),
inference(avatar_split_clause,[],[f144,f2036,f262]) ).
fof(f2475,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),xR) = smndt0(sdtasdt0(X0,xR)) ),
inference(resolution,[],[f151,f202]) ).
fof(f2819,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(xR,X0) )
| ~ spl2_48 ),
inference(resolution,[],[f2037,f202]) ).
fof(f3544,plain,
( sdtasdt0(xR,xS) = sdtasdt0(xS,xR)
| ~ spl2_48 ),
inference(resolution,[],[f2819,f206]) ).
fof(f3546,plain,
( xN = sdtasdt0(xS,xR)
| ~ spl2_48 ),
inference(forward_demodulation,[],[f3544,f207]) ).
fof(f6672,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(sdtasdt0(xS,xR)),
inference(resolution,[],[f2475,f206]) ).
fof(f6675,plain,
( sdtasdt0(smndt0(xS),xR) = smndt0(xN)
| ~ spl2_48 ),
inference(forward_demodulation,[],[f6672,f3546]) ).
fof(f6697,plain,
( $false
| ~ spl2_48 ),
inference(forward_subsumption_resolution,[],[f6675,f211]) ).
fof(f6698,plain,
~ spl2_48,
inference(avatar_contradiction_clause,[],[f6697]) ).
cnf(s168,plain,
~ spl2_9,
inference(sat_conversion,[],[f290]) ).
cnf(s969,plain,
( spl2_9
| spl2_48 ),
inference(sat_conversion,[],[f2038]) ).
cnf(s2313,plain,
~ spl2_48,
inference(sat_conversion,[],[f6698]) ).
cnf(s2340,plain,
spl2_9,
inference(rat,[],[s969,s2313]) ).
cnf(s2341,plain,
$false,
inference(rat,[],[s168,s2340]) ).
fof(f6711,plain,
$false,
inference(avatar_sat_refutation,[],[s2341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG059+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 23:03:45 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.00/0.59 % (2509699)Will run a generic schedule for satisfiability detection.
% 1.00/0.59 % (2509708)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=836384196:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.00/0.59 % (2509705)% WARNING: option uhcvi not known.
% 1.00/0.59 % (2509704)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1504421214_2999 on theBenchmark for (2999ds/0Mi)
% 1.00/0.59 % (2509709)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2593904419:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.00/0.59 % (2509705)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=771355919:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.00/0.59 % (2509706)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1322604773:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.00/0.59 % (2509707)dis+10_1_sil=32000:sp=arity:random_seed=2092549055:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.00/0.59 % (2509710)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2161655616:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.00/0.59 % TRYING [1]
% 1.00/0.59 % TRYING [2]
% 1.00/0.59 % TRYING [3]
% 1.00/0.59 % TRYING [4]
% 1.00/0.59 % (2509708)Instruction limit reached!
% 1.00/0.59 % (2509708)------------------------------
% 1.00/0.59 % (2509708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.59 % (2509708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.59 % (2509708)CaDiCaL version: 2.1.3
% 1.00/0.59 % (2509708)Termination reason: Instruction limit
% 1.00/0.59 % (2509708)Termination phase: Saturation
% 1.00/0.59 % (2509708)Time elapsed: 0.038 s
% 1.00/0.59 % (2509708)Peak memory usage: 13 MB
% 1.00/0.59 % (2509708)Instructions burned: 118 (million)
% 1.00/0.59 % (2509718)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2409782580:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.00/0.59 % TRYING [1]
% 1.00/0.59 % TRYING [2]
% 1.00/0.59 % TRYING [3]
% 1.00/0.59 % TRYING [4]
% 1.00/0.59 % (2509707)Instruction limit reached!
% 1.00/0.59 % (2509707)------------------------------
% 1.00/0.59 % (2509707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.59 % (2509707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.59 % (2509707)CaDiCaL version: 2.1.3
% 1.00/0.59 % (2509707)Termination reason: Instruction limit
% 1.00/0.59 % (2509707)Termination phase: Saturation
% 1.00/0.59 % (2509707)Time elapsed: 0.062 s
% 1.00/0.59 % (2509707)Peak memory usage: 13 MB
% 1.00/0.59 % (2509707)Instructions burned: 104 (million)
% 1.00/0.59 % (2509709)Instruction limit reached!
% 1.00/0.59 % (2509709)------------------------------
% 1.00/0.59 % (2509709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.59 % (2509709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.59 % (2509709)CaDiCaL version: 2.1.3
% 1.00/0.59 % (2509709)Termination reason: Instruction limit
% 1.00/0.59 % (2509709)Termination phase: Saturation
% 1.00/0.59 % (2509709)Time elapsed: 0.073 s
% 1.00/0.59 % (2509709)Peak memory usage: 13 MB
% 1.00/0.59 % (2509709)Instructions burned: 131 (million)
% 1.00/0.59 % TRYING [5]
% 1.00/0.59 % (2509720)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2376886639:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.00/0.59 % TRYING [5]
% 1.00/0.59 % (2509721)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2179043069:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.00/0.59 % (2509710)Instruction limit reached!
% 1.00/0.59 % (2509710)------------------------------
% 1.00/0.59 % (2509710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.59 % (2509710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.59 % (2509710)CaDiCaL version: 2.1.3
% 1.00/0.59 % (2509710)Termination reason: Instruction limit
% 1.00/0.59 % (2509710)Termination phase: Saturation
% 1.00/0.59 % (2509710)Time elapsed: 0.098 s
% 1.00/0.59 % (2509710)Peak memory usage: 15 MB
% 1.00/0.59 % (2509710)Instructions burned: 160 (million)
% 1.00/0.59 % (2509724)ott-21_1_sil=16000:fs=off:random_seed=571463171:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.00/0.59 % (2509706) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2509699-2509706"...
% 1.00/0.59 % (2509706)...printing done.
% 1.00/0.59 % (2509706)Refutation found. Thanks to Tanya!
% 1.00/0.59 % SZS status Theorem for theBenchmark
% 1.00/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.00/0.59 % (2509706)------------------------------
% 1.00/0.59 % (2509706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.59 % (2509706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.59 % (2509706)CaDiCaL version: 2.1.3
% 1.00/0.59 % (2509706)Termination reason: Refutation
% 1.00/0.59 % (2509706)Time elapsed: 0.130 s
% 1.00/0.59 % (2509706)Peak memory usage: 15 MB
% 1.00/0.59 % (2509706)Instructions burned: 218 (million)
% 1.00/0.59 % (2509699)Success in time 0.176 s
% 1.00/0.59 % Vampire exiting
%------------------------------------------------------------------------------