%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM576+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 0.18s 1.50s
% Output : Refutation 0.18s
% 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f84,axiom,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856) ).
fof(f85,conjecture,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
file('/export/starexec/sandbox2/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(f100,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& xi != xj ),
inference(ennf_transformation,[],[f86]) ).
fof(f101,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& xi != xj ),
inference(flattening,[],[f100]) ).
fof(f136,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f137,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f136]) ).
fof(f158,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f159,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f158]) ).
fof(f215,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f216,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f217,plain,
xi != xj,
inference(cnf_transformation,[],[f101]) ).
fof(f218,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[],[f101]) ).
fof(f219,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[],[f101]) ).
fof(f267,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f294,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f300,definition,
~ sP17(xi),
introduced(definition,[new_symbols(definition,[sP17])],[inequality_splitting_name_introduction]) ).
fof(f301,plain,
sP17(xj),
inference(inequality_splitting,[],[f217,f300]) ).
fof(f331,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[],[f218,f267]) ).
fof(f332,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f331,f215]) ).
fof(f333,plain,
sdtlseqdt0(xj,xi),
inference(forward_subsumption_resolution,[],[f332,f216]) ).
fof(f334,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[],[f219,f267]) ).
fof(f335,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f334,f216]) ).
fof(f336,plain,
sdtlseqdt0(xi,xj),
inference(forward_subsumption_resolution,[],[f335,f215]) ).
fof(f337,plain,
( ~ sdtlseqdt0(xi,xj)
| xi = xj
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[],[f333,f294]) ).
fof(f340,plain,
( xi = xj
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f337,f336]) ).
fof(f342,plain,
( xi = xj
| ~ aElementOf0(xj,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f340,f216]) ).
fof(f343,plain,
xi = xj,
inference(forward_subsumption_resolution,[],[f342,f215]) ).
fof(f353,plain,
sP17(xi),
inference(superposition,[],[f301,f343]) ).
fof(f354,plain,
$false,
inference(forward_subsumption_resolution,[],[f353,f300]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM576+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n003.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 20:36:26 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.18/1.50 % (899764)Detected formulas, will run a generic FOF schedule.
% 0.18/1.50 % (899775)dis-21_1_sil=8000:lcm=predicate:random_seed=3486913024: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)
% 0.18/1.50 % (899775)Instruction limit reached!
% 0.18/1.50 % (899775)------------------------------
% 0.18/1.50 % (899775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.50 % (899775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.50 % (899775)CaDiCaL version: 2.1.3
% 0.18/1.50 % (899775)Termination reason: Instruction limit
% 0.18/1.50 % (899775)Termination phase: Saturation
% 0.18/1.50 % (899775)Time elapsed: 0.036 s
% 0.18/1.50 % (899775)Peak memory usage: 88 MB
% 0.18/1.50 % (899775)Instructions burned: 134 (million)
% 0.18/1.50 % (899769)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=229977520:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.18/1.50 % (899770)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=2290359108:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.18/1.50 % (899772)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3489401355:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.18/1.50 % (899771)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=1424072032:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.18/1.50 % (899773)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4117980643:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.18/1.50 % (899772)First to succeed.
% 0.18/1.50 % (899772)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-899764"
% 0.18/1.50 % (899773)Also succeeded, but the first one will report.
% 0.18/1.50 % (899774)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1596203650:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.18/1.50 % (899774)Also succeeded, but the first one will report.
% 0.18/1.50 % (899782)lrs+10_1_sil=8000:sp=occurrence:random_seed=1570429113:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.18/1.50 % (899782)Also succeeded, but the first one will report.
% 0.18/1.50 % (899772)Refutation found. Thanks to Tanya!
% 0.18/1.50 % SZS status Theorem for theBenchmark
% 0.18/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.50 % (899772)------------------------------
% 0.18/1.50 % (899772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.50 % (899772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.50 % (899772)CaDiCaL version: 2.1.3
% 0.18/1.50 % (899772)Termination reason: Refutation
% 0.18/1.50 % (899772)Time elapsed: 0.008 s
% 0.18/1.50 % (899772)Peak memory usage: 88 MB
% 0.18/1.50 % (899772)Instructions burned: 10 (million)
% 0.18/1.50 % (899772)------------------------------
% 0.18/1.50 % (899772)------------------------------
% 0.18/1.50 % (899764)Success in time 0.444 s
% 0.18/1.50 % Vampire exiting
%------------------------------------------------------------------------------