%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM576+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:15:49 PM UTC 2026
% Result : Theorem 3.50s 1.44s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 12 unt; 1 def)
% Number of atoms : 81 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 92 ( 43 ~; 36 |; 8 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f84,axiom,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856) ).
fof(f85,conjecture,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f86,negated_conjecture,
~ ( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
inference(negated_conjecture,[status(cth)],[f85]) ).
fof(f107,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& xi != xj ),
inference(ennf_transformation,[],[f86]) ).
fof(f108,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& xi != xj ),
inference(flattening,[],[f107]) ).
fof(f149,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f150,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f149]) ).
fof(f168,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f169,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f168]) ).
fof(f317,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f318,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f319,plain,
xi != xj,
inference(cnf_transformation,[],[f108]) ).
fof(f320,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[],[f108]) ).
fof(f321,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[],[f108]) ).
fof(f375,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f398,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f415,definition,
~ sP36(xi),
introduced(definition,[new_symbols(definition,[sP36])],[inequality_splitting_name_introduction]) ).
fof(f416,plain,
sP36(xj),
inference(inequality_splitting,[],[f319,f415]) ).
fof(f462,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[],[f320,f375]) ).
fof(f463,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f462,f317]) ).
fof(f464,plain,
sdtlseqdt0(xj,xi),
inference(forward_subsumption_resolution,[],[f463,f318]) ).
fof(f465,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[],[f321,f375]) ).
fof(f466,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f465,f318]) ).
fof(f467,plain,
sdtlseqdt0(xi,xj),
inference(forward_subsumption_resolution,[],[f466,f317]) ).
fof(f468,plain,
( ~ sdtlseqdt0(xi,xj)
| xi = xj
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[],[f464,f398]) ).
fof(f471,plain,
( xi = xj
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f468,f467]) ).
fof(f473,plain,
( xi = xj
| ~ aElementOf0(xj,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f471,f318]) ).
fof(f474,plain,
xi = xj,
inference(forward_subsumption_resolution,[],[f473,f317]) ).
fof(f484,plain,
sP36(xi),
inference(superposition,[],[f416,f474]) ).
fof(f485,plain,
$false,
inference(forward_subsumption_resolution,[],[f484,f415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM576+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 20:35:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 3.50/1.44 % (1579652)Detected formulas, will run a generic FOF schedule.
% 3.50/1.44 % (1579657)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=2317268184:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.50/1.44 % (1579662)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=395842466:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.50/1.44 % (1579661)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3884196588:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.50/1.44 % (1579660)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4038172315:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.50/1.44 % (1579659)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=116861129:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.50/1.44 % (1579658)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=2991081018:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.50/1.44 % (1579660)First to succeed.
% 3.50/1.44 % (1579660)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1579652"
% 3.50/1.44 % (1579663)dis-21_1_sil=8000:lcm=predicate:random_seed=3295655206: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)
% 3.50/1.44 % (1579661)Also succeeded, but the first one will report.
% 3.50/1.44 % (1579662)Also succeeded, but the first one will report.
% 3.50/1.44 % (1579663)Instruction limit reached!
% 3.50/1.44 % (1579663)------------------------------
% 3.50/1.44 % (1579663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.44 % (1579663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.44 % (1579663)CaDiCaL version: 2.1.3
% 3.50/1.44 % (1579663)Termination reason: Instruction limit
% 3.50/1.44 % (1579663)Termination phase: Saturation
% 3.50/1.44 % (1579663)Time elapsed: 0.077 s
% 3.50/1.44 % (1579663)Peak memory usage: 91 MB
% 3.50/1.44 % (1579663)Instructions burned: 130 (million)
% 3.50/1.44 % (1579671)lrs+10_1_sil=8000:sp=occurrence:random_seed=3112072353:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.50/1.44 % (1579671)Also succeeded, but the first one will report.
% 3.50/1.44 % (1579660)Refutation found. Thanks to Tanya!
% 3.50/1.44 % SZS status Theorem for theBenchmark
% 3.50/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.44 % (1579660)------------------------------
% 3.50/1.44 % (1579660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.44 % (1579660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.44 % (1579660)CaDiCaL version: 2.1.3
% 3.50/1.44 % (1579660)Termination reason: Refutation
% 3.50/1.44 % (1579660)Time elapsed: 0.010 s
% 3.50/1.44 % (1579660)Peak memory usage: 89 MB
% 3.50/1.44 % (1579660)Instructions burned: 16 (million)
% 3.50/1.44 % (1579660)------------------------------
% 3.50/1.44 % (1579660)------------------------------
% 3.50/1.44 % (1579652)Success in time 0.414 s
% 3.50/1.44 % Vampire exiting
%------------------------------------------------------------------------------