%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM129+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:40:21 AM UTC 2026
% Result : Theorem 0.25s 0.36s
% Output : Refutation 0.25s
% 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/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).
fof(f28,axiom,
! [X0,X1] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax','gensym-is-fresh') ).
fof(f66,conjecture,
! [X0,X1,X2,X3] :
( X2 = vgensym(vapp(vapp(X0,X3),vvar(X1)))
=> ~ visFreeVar(X2,X3) ),
file('/export/starexec/sandbox/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(f87,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(f88,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,[],[f87]) ).
fof(f108,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f169,plain,
? [X0,X1,X2,X3] :
( visFreeVar(X2,X3)
& X2 = vgensym(vapp(vapp(X0,X3),vvar(X1))) ),
inference(ennf_transformation,[],[f67]) ).
fof(f232,plain,
( visFreeVar(sK89,sK90)
& sK89 = vgensym(vapp(vapp(sK87,sK90),vvar(sK88))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90)],[f169]) ).
fof(f254,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X4)
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f255,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X2)
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f285,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(cnf_transformation,[],[f108]) ).
fof(f392,plain,
sK89 = vgensym(vapp(vapp(sK87,sK90),vvar(sK88))),
inference(cnf_transformation,[],[f232]) ).
fof(f393,plain,
visFreeVar(sK89,sK90),
inference(cnf_transformation,[],[f232]) ).
fof(f415,plain,
! [X2,X3,X1,X4] :
( visFreeVar(X3,X1)
| ~ visFreeVar(X3,X2)
| vapp(X2,X4) != X1 ),
inference(equality_resolution,[],[f255]) ).
fof(f416,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X2) ),
inference(equality_resolution,[],[f415]) ).
fof(f417,plain,
! [X2,X3,X1,X4] :
( visFreeVar(X3,X1)
| ~ visFreeVar(X3,X4)
| vapp(X2,X4) != X1 ),
inference(equality_resolution,[],[f254]) ).
fof(f418,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X4) ),
inference(equality_resolution,[],[f417]) ).
fof(f443,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f285]) ).
fof(f580,plain,
~ visFreeVar(sK89,vapp(vapp(sK87,sK90),vvar(sK88))),
inference(superposition,[],[f443,f392]) ).
fof(f587,plain,
~ visFreeVar(sK89,vapp(sK87,sK90)),
inference(resolution,[],[f416,f580]) ).
fof(f594,plain,
~ visFreeVar(sK89,sK90),
inference(resolution,[],[f418,f587]) ).
fof(f595,plain,
$false,
inference(resolution,[],[f594,f393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM129+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.26 % Computer : n018.cluster.edu
% 0.09/0.26 % Model : x86_64 x86_64
% 0.09/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.26 % Memory : 8046.5625MB
% 0.09/0.26 % OS : Linux 6.8.0-71-generic
% 0.09/0.26 % CPULimit : 300
% 0.09/0.26 % WCLimit : 300
% 0.09/0.26 % DateTime : Mon Sep 28 21:57:25 UTC 2026
% 0.09/0.26 % CPUTime :
% 0.09/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.25/0.31 Running first-order model finding
% 0.25/0.32 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
% 0.25/0.36 % (3833884)Will run a generic schedule for satisfiability detection.
% 0.25/0.36 % (3833895)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=359328600:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.25/0.36 % (3833890)% WARNING: option uhcvi not known.
% 0.25/0.36 % (3833895) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3833884-3833895"...
% 0.25/0.36 % (3833890)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2751639736:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.36 % (3833895)...printing done.
% 0.25/0.36 % (3833892)dis+10_1_sil=32000:sp=arity:random_seed=3300178573:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.25/0.36 % (3833889)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2447433013_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.36 % (3833893)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=37532233:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.36 % (3833891)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1249858627:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.25/0.36 % (3833895)Refutation found. Thanks to Tanya!
% 0.25/0.36 % SZS status Theorem for theBenchmark
% 0.25/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.36 % (3833895)------------------------------
% 0.25/0.36 % (3833895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (3833895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (3833895)CaDiCaL version: 2.1.3
% 0.25/0.36 % (3833895)Termination reason: Refutation
% 0.25/0.36 % (3833895)Time elapsed: 0.009 s
% 0.25/0.36 % (3833895)Peak memory usage: 12 MB
% 0.25/0.36 % (3833895)Instructions burned: 14 (million)
% 0.25/0.36 % (3833884)Success in time 0.038 s
% 0.25/0.36 % Vampire exiting
%------------------------------------------------------------------------------