%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM125+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 : n006.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 2.67s 1.15s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 99 ( 29 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 118 ( 51 ~; 40 |; 20 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 118 ( 106 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( X1 = X4
& X2 = vabs(X3,X0,X5) )
=> ( ( ( X3 != X4
& visFreeVar(X4,X5) )
=> visFreeVar(X1,X2) )
& ( visFreeVar(X1,X2)
=> ( X3 != X4
& visFreeVar(X4,X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar1) ).
fof(f58,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( X0 != X3
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-1') ).
fof(f59,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( X0 = X3
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-2') ).
fof(f60,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs') ).
fof(f61,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(negated_conjecture,[status(cth)],[f60]) ).
fof(f62,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f61]) ).
fof(f63,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f62]) ).
fof(f70,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( visFreeVar(X1,X2)
| X3 = X4
| ~ visFreeVar(X4,X5) )
& ( ( X3 != X4
& visFreeVar(X4,X5) )
| ~ visFreeVar(X1,X2) ) )
| X1 != X4
| vabs(X3,X0,X5) != X2 ),
inference(ennf_transformation,[],[f11]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( visFreeVar(X1,X2)
| X3 = X4
| ~ visFreeVar(X4,X5) )
& ( ( X3 != X4
& visFreeVar(X4,X5) )
| ~ visFreeVar(X1,X2) ) )
| X1 != X4
| vabs(X3,X0,X5) != X2 ),
inference(flattening,[],[f70]) ).
fof(f80,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 != X3
| visFreeVar(X0,vabs(X3,X4,veabs))
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f59]) ).
fof(f81,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 != X3
| visFreeVar(X0,vabs(X3,X4,veabs))
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 = X3
| visFreeVar(X0,vabs(X3,X4,veabs))
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f58]) ).
fof(f83,plain,
! [X0,X1,X2,X3,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 = X3
| visFreeVar(X0,vabs(X3,X4,veabs))
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f82]) ).
fof(f89,plain,
( ~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5)
& ~ visFreeVar(sK0,vabs(sK3,sK4,veabs))
& vtcheck(sK2,vabs(sK3,sK4,veabs),sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f63]) ).
fof(f90,plain,
vtcheck(sK2,vabs(sK3,sK4,veabs),sK5),
inference(cnf_transformation,[],[f89]) ).
fof(f91,plain,
~ visFreeVar(sK0,vabs(sK3,sK4,veabs)),
inference(cnf_transformation,[],[f89]) ).
fof(f92,plain,
~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5),
inference(cnf_transformation,[],[f89]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X4,X5] :
( X3 != X4
| ~ visFreeVar(X1,X2)
| X1 != X4
| vabs(X3,X0,X5) != X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f112,plain,
! [X2,X3,X0,X1,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 != X3
| visFreeVar(X0,vabs(X3,X4,veabs))
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(cnf_transformation,[],[f81]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| X0 = X3
| visFreeVar(X0,vabs(X3,X4,veabs))
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(cnf_transformation,[],[f83]) ).
fof(f134,plain,
! [X2,X0,X1,X4,X5] :
( ~ visFreeVar(X1,X2)
| X1 != X4
| vabs(X4,X0,X5) != X2 ),
inference(equality_resolution,[],[f102]) ).
fof(f135,plain,
! [X2,X0,X4,X5] :
( ~ visFreeVar(X4,X2)
| vabs(X4,X0,X5) != X2 ),
inference(equality_resolution,[],[f134]) ).
fof(f136,plain,
! [X0,X4,X5] : ~ visFreeVar(X4,vabs(X4,X0,X5)),
inference(equality_resolution,[],[f135]) ).
fof(f148,plain,
! [X2,X3,X1,X4,X5] :
( vtcheck(vbind(X3,X1,X2),vabs(X3,X4,veabs),X5)
| visFreeVar(X3,vabs(X3,X4,veabs))
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(equality_resolution,[],[f112]) ).
fof(f180,plain,
! [X2,X3,X1,X4,X5] :
( vtcheck(vbind(X3,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(forward_subsumption_resolution,[],[f148,f136]) ).
fof(f185,plain,
( sK0 = sK3
| visFreeVar(sK0,vabs(sK3,sK4,veabs))
| ~ vtcheck(sK2,vabs(sK3,sK4,veabs),sK5) ),
inference(resolution,[],[f113,f92]) ).
fof(f189,plain,
( sK0 = sK3
| ~ vtcheck(sK2,vabs(sK3,sK4,veabs),sK5) ),
inference(forward_subsumption_resolution,[],[f185,f91]) ).
fof(f190,plain,
sK0 = sK3,
inference(forward_subsumption_resolution,[],[f189,f90]) ).
fof(f191,plain,
~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK0,sK4,veabs),sK5),
inference(superposition,[],[f92,f190]) ).
fof(f192,plain,
vtcheck(sK2,vabs(sK0,sK4,veabs),sK5),
inference(superposition,[],[f90,f190]) ).
fof(f202,plain,
~ vtcheck(sK2,vabs(sK0,sK4,veabs),sK5),
inference(resolution,[],[f191,f180]) ).
fof(f204,plain,
$false,
inference(forward_subsumption_resolution,[],[f202,f192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM125+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n006.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 21:54:55 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 2.67/1.15 % (249204)Detected formulas, will run a generic FOF schedule.
% 2.67/1.15 % (249317)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4051452344:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.67/1.15 % (249317)First to succeed.
% 2.67/1.15 % (249317)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-249204"
% 2.67/1.15 % (249315)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=1904810808:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.67/1.15 % (249314)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=3272060151:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.67/1.15 % (249316)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1190419429:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.67/1.15 % (249313)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=3158979466:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.67/1.15 % (249316)Also succeeded, but the first one will report.
% 2.67/1.15 % (249319)dis-21_1_sil=8000:lcm=predicate:random_seed=1412064587: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)
% 2.67/1.15 % (249318)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2887114062:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.67/1.15 % (249318)Also succeeded, but the first one will report.
% 2.67/1.15 % (249319)Instruction limit reached!
% 2.67/1.15 % (249319)------------------------------
% 2.67/1.15 % (249319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.15 % (249319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.15 % (249319)CaDiCaL version: 2.1.3
% 2.67/1.15 % (249319)Termination reason: Instruction limit
% 2.67/1.15 % (249319)Termination phase: Saturation
% 2.67/1.15 % (249319)Time elapsed: 0.075 s
% 2.67/1.15 % (249319)Peak memory usage: 90 MB
% 2.67/1.15 % (249319)Instructions burned: 130 (million)
% 2.67/1.15 % (249317)Refutation found. Thanks to Tanya!
% 2.67/1.15 % SZS status Theorem for theBenchmark
% 2.67/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/1.15 % (249317)------------------------------
% 2.67/1.15 % (249317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.15 % (249317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.15 % (249317)CaDiCaL version: 2.1.3
% 2.67/1.15 % (249317)Termination reason: Refutation
% 2.67/1.15 % (249317)Time elapsed: 0.003 s
% 2.67/1.15 % (249317)Peak memory usage: 88 MB
% 2.67/1.15 % (249317)Instructions burned: 5 (million)
% 2.67/1.15 % (249317)------------------------------
% 2.67/1.15 % (249317)------------------------------
% 2.67/1.15 % (249204)Success in time 0.276 s
% 2.67/1.15 % Vampire exiting
%------------------------------------------------------------------------------