%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG124+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:36:08 PM UTC 2026
% Result : ContradictoryAxioms 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 8 unt; 2 def)
% Number of atoms : 90 ( 27 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 96 ( 33 ~; 25 |; 34 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 9 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,axiom,
( ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xa))
& aElementOf0(X1,slsdtgt0(xb))
& sdtpldt0(X0,X1) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [X0] :
( ( ( ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = 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,
( ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xa))
& aElementOf0(X1,slsdtgt0(xb))
& sdtpldt0(X0,X1) = xr )
& aElementOf0(xr,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2729) ).
fof(f65,plain,
( ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xa))
& aElementOf0(X1,slsdtgt0(xb))
& sdtpldt0(X0,X1) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [X2] :
( ( ( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
| aElementOf0(X2,xI) )
& sz00 != X2 )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu)) ) ),
inference(rectify,[],[f45]) ).
fof(f128,plain,
( ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xa))
& aElementOf0(X1,slsdtgt0(xb))
& sdtpldt0(X0,X1) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu))
| ( ! [X3,X4] :
( ~ aElementOf0(X3,slsdtgt0(xa))
| ~ aElementOf0(X4,slsdtgt0(xb))
| sdtpldt0(X3,X4) != X2 )
& ~ aElementOf0(X2,xI) )
| sz00 = X2 ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f129,plain,
( ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xa))
& aElementOf0(X1,slsdtgt0(xb))
& sdtpldt0(X0,X1) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu))
| ( ! [X3,X4] :
( ~ aElementOf0(X3,slsdtgt0(xa))
| ~ aElementOf0(X4,slsdtgt0(xb))
| sdtpldt0(X3,X4) != X2 )
& ~ aElementOf0(X2,xI) )
| sz00 = X2 ) ),
inference(flattening,[],[f128]) ).
fof(f295,plain,
! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu))
| ~ aElementOf0(X2,xI)
| sz00 = X2 ),
inference(cnf_transformation,[],[f129]) ).
fof(f318,plain,
( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| sz00 = xr ),
inference(cnf_transformation,[],[f50]) ).
fof(f322,plain,
sz00 != xr,
inference(cnf_transformation,[],[f51]) ).
fof(f338,plain,
aElementOf0(xr,xI),
inference(cnf_transformation,[],[f55]) ).
fof(f503,definition,
( spl50_1
<=> sz00 = xr ),
introduced(definition,[new_symbols(definition,[spl50_1])],[avatar_definition]) ).
fof(f504,plain,
( sz00 != xr
| spl50_1 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f507,definition,
( spl50_2
<=> iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
introduced(definition,[new_symbols(definition,[spl50_2])],[avatar_definition]) ).
fof(f509,plain,
( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| ~ spl50_2 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f510,plain,
( spl50_1
| spl50_2 ),
inference(avatar_split_clause,[],[f318,f507,f503]) ).
fof(f553,plain,
~ spl50_1,
inference(avatar_split_clause,[],[f322,f503]) ).
fof(f1065,plain,
( ~ aElementOf0(xr,xI)
| sz00 = xr
| ~ spl50_2 ),
inference(resolution,[],[f295,f509]) ).
fof(f1066,plain,
( sz00 = xr
| ~ spl50_2 ),
inference(forward_subsumption_resolution,[],[f1065,f338]) ).
fof(f1067,plain,
( $false
| spl50_1
| ~ spl50_2 ),
inference(forward_subsumption_resolution,[],[f1066,f504]) ).
fof(f1068,plain,
( spl50_1
| ~ spl50_2 ),
inference(avatar_contradiction_clause,[],[f1067]) ).
cnf(s1,plain,
( spl50_1
| spl50_2 ),
inference(sat_conversion,[],[f510]) ).
cnf(s14,plain,
~ spl50_1,
inference(sat_conversion,[],[f553]) ).
cnf(s24,plain,
( spl50_1
| ~ spl50_2 ),
inference(sat_conversion,[],[f1068]) ).
cnf(s25,plain,
~ spl50_2,
inference(rat,[],[s24,s14]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s1,s25,s14]) ).
fof(f1069,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG124+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 23:28:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.45 % (4083691)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (4083697)% WARNING: option uhcvi not known.
% 0.10/0.45 % (4083697)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=494698182:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % (4083699)dis+10_1_sil=32000:sp=arity:random_seed=3580197807:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (4083701)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1766310285:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (4083696)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=570485516_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (4083698)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2906461936:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (4083700)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2815263673:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (4083702)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2352745834:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (4083697) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4083691-4083697"...
% 0.10/0.45 % (4083697)...printing done.
% 0.10/0.45 % (4083697)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status ContradictoryAxioms for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (4083697)------------------------------
% 0.10/0.45 % (4083697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (4083697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (4083697)CaDiCaL version: 2.1.3
% 0.10/0.45 % (4083697)Termination reason: Refutation
% 0.10/0.45 % (4083697)Time elapsed: 0.011 s
% 0.10/0.45 % (4083697)Peak memory usage: 13 MB
% 0.10/0.45 % (4083697)Instructions burned: 27 (million)
% 0.10/0.45 % (4083691)Success in time 0.043 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------