%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM128+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 2.32s 0.87s
% Output : Refutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 82 ( 41 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 95 ( 40 ~; 34 |; 12 &)
% ( 0 <=>; 9 =>; 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 : 70 ( 66 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1,X2,X3] :
( ( X0 = X3
& X1 = vvar(X2) )
=> ( ( X2 = X3
=> visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar0) ).
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/theBenchmark.p',isFreeVar2) ).
fof(f28,axiom,
! [X0,X1] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','gensym-is-fresh') ).
fof(f65,conjecture,
! [X0,X1,X2,X3] :
( X3 = vgensym(vapp(vapp(X0,X1),vvar(X2)))
=> X2 != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','fresh-unequal-var-3') ).
fof(f66,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( X3 = vgensym(vapp(vapp(X0,X1),vvar(X2)))
=> X2 != X3 ),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ( ( visFreeVar(X0,X1)
| X2 != X3 )
& ( X2 = X3
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vvar(X2) != X1 ),
inference(ennf_transformation,[],[f10]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ( ( visFreeVar(X0,X1)
| X2 != X3 )
& ( X2 = X3
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vvar(X2) != X1 ),
inference(flattening,[],[f82]) ).
fof(f86,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(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(flattening,[],[f86]) ).
fof(f107,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f167,plain,
? [X0,X1,X2,X3] :
( X2 = X3
& X3 = vgensym(vapp(vapp(X0,X1),vvar(X2))) ),
inference(ennf_transformation,[],[f66]) ).
fof(f230,plain,
( sK89 = sK90
& sK90 = vgensym(vapp(vapp(sK87,sK88),vvar(sK89))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90)],[f167]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( visFreeVar(X0,X1)
| X2 != X3
| X0 != X3
| vvar(X2) != X1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f252,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X4)
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(cnf_transformation,[],[f87]) ).
fof(f283,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(cnf_transformation,[],[f107]) ).
fof(f389,plain,
sK90 = vgensym(vapp(vapp(sK87,sK88),vvar(sK89))),
inference(cnf_transformation,[],[f230]) ).
fof(f390,plain,
sK89 = sK90,
inference(cnf_transformation,[],[f230]) ).
fof(f400,plain,
! [X3,X0,X1] :
( visFreeVar(X0,X1)
| X0 != X3
| vvar(X3) != X1 ),
inference(equality_resolution,[],[f247]) ).
fof(f401,plain,
! [X3,X1] :
( visFreeVar(X3,X1)
| vvar(X3) != X1 ),
inference(equality_resolution,[],[f400]) ).
fof(f402,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f401]) ).
fof(f414,plain,
! [X2,X3,X1,X4] :
( visFreeVar(X3,X1)
| ~ visFreeVar(X3,X4)
| vapp(X2,X4) != X1 ),
inference(equality_resolution,[],[f252]) ).
fof(f415,plain,
! [X2,X3,X4] :
( ~ visFreeVar(X3,X4)
| visFreeVar(X3,vapp(X2,X4)) ),
inference(equality_resolution,[],[f414]) ).
fof(f440,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f283]) ).
fof(f503,plain,
sK89 = vgensym(vapp(vapp(sK87,sK88),vvar(sK89))),
inference(forward_demodulation,[],[f389,f390]) ).
fof(f504,plain,
~ visFreeVar(sK89,vapp(vapp(sK87,sK88),vvar(sK89))),
inference(superposition,[],[f440,f503]) ).
fof(f511,plain,
! [X0,X1] : visFreeVar(X0,vapp(X1,vvar(X0))),
inference(resolution,[],[f415,f402]) ).
fof(f513,plain,
$false,
inference(resolution,[],[f511,f504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM128+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n010.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 21:55:33 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.32/0.87 % (2400969)Detected formulas, will run a generic FOF schedule.
% 2.32/0.87 % (2400979)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=569655515:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.32/0.87 % (2400979)First to succeed.
% 2.32/0.87 % (2400979)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2400969"
% 2.32/0.87 % (2400978)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1581564808:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.32/0.87 % (2400977)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1227180320:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.32/0.87 % (2400976)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=3136279571:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.32/0.87 % (2400975)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=135122775:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.32/0.87 % (2400974)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=1386815158:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.32/0.87 % (2400980)dis-21_1_sil=8000:lcm=predicate:random_seed=3268098121: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)
% 2.32/0.87 % (2400978)Also succeeded, but the first one will report.
% 2.32/0.87 % (2400977)Refutation not found, incomplete strategy
% 2.32/0.87 % (2400977)------------------------------
% 2.32/0.87 % (2400977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/0.87 % (2400977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.87 % (2400977)CaDiCaL version: 2.1.3
% 2.32/0.87 % (2400977)Termination reason: Refutation not found, incomplete strategy
% 2.32/0.87 % (2400977)Time elapsed: 0.010 s
% 2.32/0.87 % (2400977)Peak memory usage: 88 MB
% 2.32/0.87 % (2400977)Instructions burned: 16 (million)
% 2.32/0.87 % (2400980)Instruction limit reached!
% 2.32/0.87 % (2400980)------------------------------
% 2.32/0.87 % (2400980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/0.87 % (2400980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.87 % (2400980)CaDiCaL version: 2.1.3
% 2.32/0.87 % (2400980)Termination reason: Instruction limit
% 2.32/0.87 % (2400980)Termination phase: Saturation
% 2.32/0.87 % (2400980)Time elapsed: 0.075 s
% 2.32/0.87 % (2400980)Peak memory usage: 89 MB
% 2.32/0.87 % (2400980)Instructions burned: 129 (million)
% 2.32/0.87 % (2400979)Refutation found. Thanks to Tanya!
% 2.32/0.87 % SZS status Theorem for theBenchmark
% 2.32/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 2.32/0.87 % (2400979)------------------------------
% 2.32/0.87 % (2400979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/0.87 % (2400979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.87 % (2400979)CaDiCaL version: 2.1.3
% 2.32/0.87 % (2400979)Termination reason: Refutation
% 2.32/0.87 % (2400979)Time elapsed: 0.004 s
% 2.32/0.87 % (2400979)Peak memory usage: 89 MB
% 2.32/0.87 % (2400979)Instructions burned: 12 (million)
% 2.32/0.87 % (2400979)------------------------------
% 2.32/0.87 % (2400979)------------------------------
% 2.32/0.87 % (2400969)Success in time 0.275 s
% 2.32/0.87 % Vampire exiting
%------------------------------------------------------------------------------