%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM129+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 09:39:37 AM UTC 2026
% Result : Theorem 2.72s 1.18s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 63 ( 20 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 74 ( 34 ~; 26 |; 8 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 58 ( 54 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1,X2,X3,X4] :
( ( X0 = X3
& X1 = vapp(X2,X4) )
=> ( ( ( visFreeVar(X3,X2)
| visFreeVar(X3,X4) )
=> visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
=> ( visFreeVar(X3,X2)
| visFreeVar(X3,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar2) ).
fof(f28,axiom,
! [X0,X1] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gensym-is-fresh') ).
fof(f66,conjecture,
! [X0,X1,X2,X3] :
( X2 = vgensym(vapp(vapp(X0,X3),vvar(X1)))
=> ~ visFreeVar(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fresh-free-2') ).
fof(f67,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( X2 = vgensym(vapp(vapp(X0,X3),vvar(X1)))
=> ~ visFreeVar(X2,X3) ),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f69,plain,
? [X0,X1,X2,X3] :
( visFreeVar(X2,X3)
& X2 = vgensym(vapp(vapp(X0,X3),vvar(X1))) ),
inference(ennf_transformation,[],[f67]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4] :
( ( ( visFreeVar(X0,X1)
| ( ~ visFreeVar(X3,X2)
& ~ visFreeVar(X3,X4) ) )
& ( visFreeVar(X3,X2)
| visFreeVar(X3,X4)
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(ennf_transformation,[],[f12]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4] :
( ( ( visFreeVar(X0,X1)
| ( ~ visFreeVar(X3,X2)
& ~ visFreeVar(X3,X4) ) )
& ( visFreeVar(X3,X2)
| visFreeVar(X3,X4)
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(flattening,[],[f71]) ).
fof(f84,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f91,plain,
( visFreeVar(sK7,sK8)
& sK7 = vgensym(vapp(vapp(sK5,sK8),vvar(sK6))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8)],[f69]) ).
fof(f108,plain,
sK7 = vgensym(vapp(vapp(sK5,sK8),vvar(sK6))),
inference(cnf_transformation,[],[f91]) ).
fof(f109,plain,
visFreeVar(sK7,sK8),
inference(cnf_transformation,[],[f91]) ).
fof(f115,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X4)
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X2)
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f160,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(cnf_transformation,[],[f84]) ).
fof(f162,plain,
! [X2,X3,X1,X4] :
( visFreeVar(X3,X1)
| ~ visFreeVar(X3,X2)
| vapp(X2,X4) != X1 ),
inference(equality_resolution,[],[f116]) ).
fof(f163,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X2) ),
inference(equality_resolution,[],[f162]) ).
fof(f164,plain,
! [X2,X3,X1,X4] :
( visFreeVar(X3,X1)
| ~ visFreeVar(X3,X4)
| vapp(X2,X4) != X1 ),
inference(equality_resolution,[],[f115]) ).
fof(f165,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X4) ),
inference(equality_resolution,[],[f164]) ).
fof(f192,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f160]) ).
fof(f195,plain,
~ visFreeVar(sK7,vapp(vapp(sK5,sK8),vvar(sK6))),
inference(superposition,[],[f192,f108]) ).
fof(f197,plain,
~ visFreeVar(sK7,vapp(sK5,sK8)),
inference(resolution,[],[f195,f163]) ).
fof(f212,plain,
~ visFreeVar(sK7,sK8),
inference(resolution,[],[f197,f165]) ).
fof(f214,plain,
$false,
inference(forward_subsumption_resolution,[],[f212,f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM129+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n016.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Mon Sep 28 22:00:04 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 Running first-order theorem proving
% 0.11/0.24 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
% 2.72/1.18 % (4075173)Detected formulas, will run a generic FOF schedule.
% 2.72/1.18 % (4075312)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3704339312:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.72/1.18 % (4075312)First to succeed.
% 2.72/1.18 % (4075312)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4075173"
% 2.72/1.18 % (4075315)dis-21_1_sil=8000:lcm=predicate:random_seed=1960945045: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)
% 2.72/1.18 % (4075314)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=28231439:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.72/1.18 % (4075309)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=998640547:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.72/1.18 % (4075313)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2397148600:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.72/1.18 % (4075310)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=2122718934:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.72/1.18 % (4075311)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=972488659:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.72/1.18 % (4075313)Also succeeded, but the first one will report.
% 2.72/1.18 % (4075314)Also succeeded, but the first one will report.
% 2.72/1.18 % (4075315)Instruction limit reached!
% 2.72/1.18 % (4075315)------------------------------
% 2.72/1.18 % (4075315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.18 % (4075315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.18 % (4075315)CaDiCaL version: 2.1.3
% 2.72/1.18 % (4075315)Termination reason: Instruction limit
% 2.72/1.18 % (4075315)Termination phase: Saturation
% 2.72/1.18 % (4075315)Time elapsed: 0.076 s
% 2.72/1.18 % (4075315)Peak memory usage: 90 MB
% 2.72/1.18 % (4075315)Instructions burned: 130 (million)
% 2.72/1.18 % (4075312)Refutation found. Thanks to Tanya!
% 2.72/1.18 % SZS status Theorem for theBenchmark
% 2.72/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.18 % (4075312)------------------------------
% 2.72/1.18 % (4075312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.18 % (4075312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.18 % (4075312)CaDiCaL version: 2.1.3
% 2.72/1.18 % (4075312)Termination reason: Refutation
% 2.72/1.18 % (4075312)Time elapsed: 0.004 s
% 2.72/1.18 % (4075312)Peak memory usage: 89 MB
% 2.72/1.18 % (4075312)Instructions burned: 8 (million)
% 2.72/1.18 % (4075312)------------------------------
% 2.72/1.18 % (4075312)------------------------------
% 2.72/1.18 % (4075173)Success in time 0.286 s
% 2.72/1.18 % Vampire exiting
%------------------------------------------------------------------------------