%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG112+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 12:36:05 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 56 ( 12 unt; 4 def)
% Number of atoms : 160 ( 50 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 170 ( 66 ~; 76 |; 20 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 28 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
fof(f44,axiom,
? [X0] :
( aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& X0 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2228) ).
fof(f45,axiom,
! [X0] :
( ( aElementOf0(X0,xI)
& X0 != sz00 )
=> ? [X1] :
( aElementOf0(X1,xI)
& X1 != sz00
& ! [X2] :
( ( aElementOf0(X2,xI)
& X2 != sz00 )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2351) ).
fof(f46,conjecture,
? [X0] :
( aElementOf0(X0,xI)
& X0 != sz00
& ! [X1] :
( ( aElementOf0(X1,xI)
& X1 != sz00 )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f47,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,xI)
& X0 != sz00
& ! [X1] :
( ( aElementOf0(X1,xI)
& X1 != sz00 )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f107,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,xI)
& X1 != sz00
& ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aElementOf0(X2,xI)
| sz00 = X2 ) )
| ~ aElementOf0(X0,xI)
| sz00 = X0 ),
inference(ennf_transformation,[],[f45]) ).
fof(f108,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,xI)
& X1 != sz00
& ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1))
| ~ aElementOf0(X2,xI)
| sz00 = X2 ) )
| ~ aElementOf0(X0,xI)
| sz00 = X0 ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 = X0
| ? [X1] :
( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
& aElementOf0(X1,xI)
& X1 != sz00 ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f110,plain,
! [X0] :
( ~ aElementOf0(X0,xI)
| sz00 = X0
| ? [X1] :
( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
& aElementOf0(X1,xI)
& X1 != sz00 ) ),
inference(flattening,[],[f109]) ).
fof(f204,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f42]) ).
fof(f210,plain,
sz00 != sK20,
inference(cnf_transformation,[],[f44]) ).
fof(f211,plain,
aElementOf0(sK20,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(cnf_transformation,[],[f44]) ).
fof(f212,plain,
! [X2,X0] :
( sz00 = X0
| ~ aElementOf0(X0,xI)
| sz00 = X2
| ~ aElementOf0(X2,xI)
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(sK21)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f213,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,xI)
| sz00 != sK21 ),
inference(cnf_transformation,[],[f108]) ).
fof(f214,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,xI)
| aElementOf0(sK21,xI) ),
inference(cnf_transformation,[],[f108]) ).
fof(f215,plain,
! [X0] :
( sz00 != sK22(X0)
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f110]) ).
fof(f216,plain,
! [X0] :
( aElementOf0(sK22(X0),xI)
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f110]) ).
fof(f217,plain,
! [X0] :
( iLess0(sbrdtbr0(sK22(X0)),sbrdtbr0(X0))
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f110]) ).
fof(f323,plain,
~ aElementOf0(sK20,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(consistent_polarity_flipping,[],[f211]) ).
fof(f324,plain,
! [X0] :
( sz00 = X0
| aElementOf0(X0,xI)
| ~ aElementOf0(sK21,xI) ),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f325,plain,
! [X0] :
( sz00 = X0
| aElementOf0(X0,xI)
| sz00 != sK21 ),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f326,plain,
! [X2,X0] :
( sz00 = X0
| aElementOf0(X0,xI)
| sz00 = X2
| aElementOf0(X2,xI)
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(sK21)) ),
inference(consistent_polarity_flipping,[],[f212]) ).
fof(f327,plain,
! [X0] :
( iLess0(sbrdtbr0(sK22(X0)),sbrdtbr0(X0))
| sz00 = X0
| aElementOf0(X0,xI) ),
inference(consistent_polarity_flipping,[],[f217]) ).
fof(f328,plain,
! [X0] :
( ~ aElementOf0(sK22(X0),xI)
| sz00 = X0
| aElementOf0(X0,xI) ),
inference(consistent_polarity_flipping,[],[f216]) ).
fof(f329,plain,
! [X0] :
( sz00 != sK22(X0)
| sz00 = X0
| aElementOf0(X0,xI) ),
inference(consistent_polarity_flipping,[],[f215]) ).
fof(f331,definition,
( spl23_1
<=> ! [X2] :
( sz00 = X2
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(sK21))
| aElementOf0(X2,xI) ) ),
introduced(definition,[new_symbols(definition,[spl23_1])],[avatar_definition]) ).
fof(f332,plain,
( ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(sK21))
| sz00 = X2
| aElementOf0(X2,xI) )
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f334,definition,
( spl23_2
<=> ! [X0] :
( sz00 = X0
| aElementOf0(X0,xI) ) ),
introduced(definition,[new_symbols(definition,[spl23_2])],[avatar_definition]) ).
fof(f335,plain,
( ! [X0] :
( aElementOf0(X0,xI)
| sz00 = X0 )
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f336,plain,
( spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f326,f334,f331]) ).
fof(f338,definition,
( spl23_3
<=> sz00 = sK21 ),
introduced(definition,[new_symbols(definition,[spl23_3])],[avatar_definition]) ).
fof(f340,plain,
( sz00 != sK21
| spl23_3 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f341,plain,
( ~ spl23_3
| spl23_2 ),
inference(avatar_split_clause,[],[f325,f334,f338]) ).
fof(f343,definition,
( spl23_4
<=> aElementOf0(sK21,xI) ),
introduced(definition,[new_symbols(definition,[spl23_4])],[avatar_definition]) ).
fof(f345,plain,
( ~ aElementOf0(sK21,xI)
| spl23_4 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f346,plain,
( ~ spl23_4
| spl23_2 ),
inference(avatar_split_clause,[],[f324,f334,f343]) ).
fof(f359,plain,
~ aElementOf0(sK20,xI),
inference(forward_demodulation,[],[f323,f204]) ).
fof(f360,plain,
( sz00 = sK20
| ~ spl23_2 ),
inference(resolution,[],[f359,f335]) ).
fof(f361,plain,
( $false
| ~ spl23_2 ),
inference(forward_subsumption_resolution,[],[f360,f210]) ).
fof(f362,plain,
~ spl23_2,
inference(avatar_contradiction_clause,[],[f361]) ).
fof(f464,plain,
( sz00 = sK22(sK21)
| aElementOf0(sK22(sK21),xI)
| sz00 = sK21
| aElementOf0(sK21,xI)
| ~ spl23_1 ),
inference(resolution,[],[f332,f327]) ).
fof(f465,plain,
( aElementOf0(sK22(sK21),xI)
| sz00 = sK21
| aElementOf0(sK21,xI)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f464,f329]) ).
fof(f466,plain,
( sz00 = sK21
| aElementOf0(sK21,xI)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f465,f328]) ).
fof(f467,plain,
( aElementOf0(sK21,xI)
| ~ spl23_1
| spl23_3 ),
inference(forward_subsumption_resolution,[],[f466,f340]) ).
fof(f468,plain,
( $false
| ~ spl23_1
| spl23_3
| spl23_4 ),
inference(forward_subsumption_resolution,[],[f467,f345]) ).
fof(f469,plain,
( ~ spl23_1
| spl23_3
| spl23_4 ),
inference(avatar_contradiction_clause,[],[f468]) ).
cnf(s1,plain,
( spl23_1
| spl23_2 ),
inference(sat_conversion,[],[f336]) ).
cnf(s2,plain,
( spl23_2
| ~ spl23_3 ),
inference(sat_conversion,[],[f341]) ).
cnf(s3,plain,
( spl23_2
| ~ spl23_4 ),
inference(sat_conversion,[],[f346]) ).
cnf(s5,plain,
~ spl23_2,
inference(sat_conversion,[],[f362]) ).
cnf(s6,plain,
( ~ spl23_1
| spl23_3
| spl23_4 ),
inference(sat_conversion,[],[f469]) ).
cnf(s7,plain,
~ spl23_4,
inference(rat,[],[s3,s5]) ).
cnf(s8,plain,
~ spl23_3,
inference(rat,[],[s2,s5]) ).
cnf(s9,plain,
~ spl23_1,
inference(rat,[],[s6,s7,s8]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s5,s9]) ).
fof(f470,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG112+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 23:19:45 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.45 % (2517565)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (2517571)% WARNING: option uhcvi not known.
% 0.12/0.45 % (2517571)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3094097794:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.45 % (2517571) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2517565-2517571"...
% 0.12/0.45 % (2517571)...printing done.
% 0.12/0.45 % (2517572)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=643678482:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.45 % (2517570)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=771186923_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.45 % (2517571)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Theorem for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (2517571)------------------------------
% 0.12/0.46 % (2517571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (2517571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (2517571)CaDiCaL version: 2.1.3
% 0.12/0.46 % (2517571)Termination reason: Refutation
% 0.12/0.46 % (2517571)Time elapsed: 0.005 s
% 0.12/0.46 % (2517571)Peak memory usage: 12 MB
% 0.12/0.46 % (2517571)Instructions burned: 11 (million)
% 0.12/0.46 % (2517565)Success in time 0.035 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------