%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG095+1 : 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 : n018.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 12:36:01 PM UTC 2026
% Result : Theorem 0.43s 0.47s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 10 unt; 0 def)
% Number of atoms : 132 ( 26 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 157 ( 65 ~; 54 |; 21 &)
% ( 9 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 75 ( 65 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aSet0(X1) )
=> ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f28,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205) ).
fof(f29,axiom,
! [X0] :
( aElement0(X0)
=> aElementOf0(X0,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205_03) ).
fof(f31,conjecture,
? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f32,negated_conjecture,
~ ? [X0,X1] :
( aElementOf0(X0,xI)
& aElementOf0(X1,xJ)
& sdtpldt0(X0,X1) = sz10 ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f34,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f62,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f63,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(flattening,[],[f62]) ).
fof(f66,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f73,plain,
! [X0] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f74,plain,
! [X0,X1] :
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xJ)
| sz10 != sdtpldt0(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f76,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
! [X2,X3,X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sdtpldt0(sK5(X0,X1,X3),sK6(X0,X1,X3)) = X3
| ~ aElementOf0(X3,X2)
| sdtpldt1(X0,X1) != X2 ),
inference(cnf_transformation,[],[f63]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| aElementOf0(sK6(X0,X1,X3),X1)
| ~ aElementOf0(X3,X2)
| sdtpldt1(X0,X1) != X2 ),
inference(cnf_transformation,[],[f63]) ).
fof(f105,plain,
! [X2,X3,X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| aElementOf0(sK5(X0,X1,X3),X0)
| ~ aElementOf0(X3,X2)
| sdtpldt1(X0,X1) != X2 ),
inference(cnf_transformation,[],[f63]) ).
fof(f126,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f131,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f28]) ).
fof(f132,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f28]) ).
fof(f133,plain,
! [X0] :
( ~ aElement0(X0)
| aElementOf0(X0,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f136,plain,
! [X0,X1] :
( ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X0,xI)
| sz10 != sdtpldt0(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f140,plain,
! [X3,X0,X1] :
( aElementOf0(sK5(X0,X1,X3),X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X3,sdtpldt1(X0,X1)) ),
inference(equality_resolution,[],[f105]) ).
fof(f141,plain,
! [X3,X0,X1] :
( aElementOf0(sK6(X0,X1,X3),X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X3,sdtpldt1(X0,X1)) ),
inference(equality_resolution,[],[f104]) ).
fof(f142,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,sdtpldt1(X0,X1))
| ~ aSet0(X0)
| sdtpldt0(sK5(X0,X1,X3),sK6(X0,X1,X3)) = X3
| ~ aSet0(X1) ),
inference(equality_resolution,[],[f103]) ).
fof(f147,plain,
aSet0(xJ),
inference(resolution,[],[f126,f131]) ).
fof(f148,plain,
aSet0(xI),
inference(resolution,[],[f126,f132]) ).
fof(f150,plain,
aElementOf0(sz10,sdtpldt1(xI,xJ)),
inference(resolution,[],[f133,f76]) ).
fof(f370,plain,
! [X2,X0,X1] :
( ~ aSet0(xI)
| ~ aSet0(X0)
| ~ aElementOf0(X1,sdtpldt1(xI,X0))
| ~ aElementOf0(X2,xJ)
| sz10 != sdtpldt0(sK5(xI,X0,X1),X2) ),
inference(resolution,[],[f140,f136]) ).
fof(f375,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,sdtpldt1(xI,X0))
| ~ aElementOf0(X2,xJ)
| ~ aSet0(X0)
| sz10 != sdtpldt0(sK5(xI,X0,X1),X2) ),
inference(forward_subsumption_resolution,[],[f370,f148]) ).
fof(f378,plain,
! [X0] :
( ~ aElementOf0(X0,xJ)
| ~ aSet0(xJ)
| sz10 != sdtpldt0(sK5(xI,xJ,sz10),X0) ),
inference(resolution,[],[f375,f150]) ).
fof(f386,plain,
! [X0] :
( ~ aElementOf0(X0,xJ)
| sz10 != sdtpldt0(sK5(xI,xJ,sz10),X0) ),
inference(forward_subsumption_resolution,[],[f378,f147]) ).
fof(f409,plain,
! [X0,X1] :
( sz10 != sdtpldt0(sK5(xI,xJ,sz10),sK6(X0,xJ,X1))
| ~ aSet0(X0)
| ~ aSet0(xJ)
| ~ aElementOf0(X1,sdtpldt1(X0,xJ)) ),
inference(resolution,[],[f386,f141]) ).
fof(f410,plain,
! [X0,X1] :
( ~ aElementOf0(X1,sdtpldt1(X0,xJ))
| ~ aSet0(X0)
| sz10 != sdtpldt0(sK5(xI,xJ,sz10),sK6(X0,xJ,X1)) ),
inference(forward_subsumption_resolution,[],[f409,f147]) ).
fof(f697,plain,
( ~ aSet0(xI)
| sz10 = sdtpldt0(sK5(xI,xJ,sz10),sK6(xI,xJ,sz10))
| ~ aSet0(xJ) ),
inference(resolution,[],[f142,f150]) ).
fof(f714,plain,
( sz10 = sdtpldt0(sK5(xI,xJ,sz10),sK6(xI,xJ,sz10))
| ~ aSet0(xJ) ),
inference(forward_subsumption_resolution,[],[f697,f148]) ).
fof(f718,plain,
sz10 = sdtpldt0(sK5(xI,xJ,sz10),sK6(xI,xJ,sz10)),
inference(forward_subsumption_resolution,[],[f714,f147]) ).
fof(f826,plain,
( ~ aSet0(xI)
| sz10 != sdtpldt0(sK5(xI,xJ,sz10),sK6(xI,xJ,sz10)) ),
inference(resolution,[],[f410,f150]) ).
fof(f843,plain,
sz10 != sdtpldt0(sK5(xI,xJ,sz10),sK6(xI,xJ,sz10)),
inference(forward_subsumption_resolution,[],[f826,f148]) ).
fof(f846,plain,
$false,
inference(forward_subsumption_resolution,[],[f843,f718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG095+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 23:16:24 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.43/0.47 % (2842207)Will run a generic schedule for satisfiability detection.
% 0.43/0.47 % (2842214)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2460385498:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.43/0.47 % (2842213)% WARNING: option uhcvi not known.
% 0.43/0.47 % (2842212)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1217367512_2999 on theBenchmark for (2999ds/0Mi)
% 0.43/0.47 % (2842215)dis+10_1_sil=32000:sp=arity:random_seed=3951940350:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.43/0.47 % (2842216)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1750180955:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.43/0.47 % (2842213)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=217275042:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.43/0.47 % (2842217)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=25083134:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.43/0.47 % (2842218)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=354894646:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.43/0.47 % TRYING [1]
% 0.43/0.47 % TRYING [2]
% 0.43/0.47 % TRYING [3]
% 0.43/0.47 % TRYING [4]
% 0.43/0.47 % (2842216) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2842207-2842216"...
% 0.43/0.47 % (2842216)...printing done.
% 0.43/0.47 % (2842216)Refutation found. Thanks to Tanya!
% 0.43/0.47 % SZS status Theorem for theBenchmark
% 0.43/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.43/0.47 % (2842216)------------------------------
% 0.43/0.47 % (2842216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.47 % (2842216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.47 % (2842216)CaDiCaL version: 2.1.3
% 0.43/0.47 % (2842216)Termination reason: Refutation
% 0.43/0.47 % (2842216)Time elapsed: 0.031 s
% 0.43/0.47 % (2842216)Peak memory usage: 12 MB
% 0.43/0.47 % (2842216)Instructions burned: 47 (million)
% 0.43/0.47 % (2842207)Success in time 0.064 s
% 0.43/0.47 % Vampire exiting
%------------------------------------------------------------------------------