%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM491+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:24:31 PM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 62 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 62 ( 25 ~; 25 |; 7 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 25 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f48,conjecture,
doDivides0(xp,sdtasdt0(xp,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f49,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f50,plain,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(flattening,[],[f49]) ).
fof(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f55,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f54]) ).
fof(f100,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f101,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f100]) ).
fof(f124,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f187,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f188,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f200,plain,
~ doDivides0(xp,sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f50]) ).
fof(f206,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f168]) ).
fof(f215,plain,
! [X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X0,X1))
| aNaturalNumber0(X0)
| aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f124]) ).
fof(f257,plain,
! [X2,X0] :
( aNaturalNumber0(sdtasdt0(X0,X2))
| aNaturalNumber0(X0)
| aNaturalNumber0(X2)
| ~ doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f279,plain,
~ aNaturalNumber0(xm),
inference(consistent_polarity_flipping,[],[f188]) ).
fof(f280,plain,
~ aNaturalNumber0(xp),
inference(consistent_polarity_flipping,[],[f187]) ).
fof(f286,plain,
doDivides0(xp,sdtasdt0(xp,xm)),
inference(consistent_polarity_flipping,[],[f200]) ).
fof(f553,plain,
! [X2,X0] :
( ~ doDivides0(X0,sdtasdt0(X0,X2))
| aNaturalNumber0(X2)
| aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f257,f215]) ).
fof(f555,plain,
( aNaturalNumber0(xm)
| aNaturalNumber0(xp) ),
inference(resolution,[],[f553,f286]) ).
fof(f556,plain,
aNaturalNumber0(xp),
inference(forward_subsumption_resolution,[],[f555,f279]) ).
fof(f557,plain,
$false,
inference(forward_subsumption_resolution,[],[f556,f280]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM491+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n001.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 20:16:17 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.48 % (3921437)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (3921446)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1711527253:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (3921443)% WARNING: option uhcvi not known.
% 0.17/0.48 % (3921442)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2678402980_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % (3921443)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=342547338:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (3921447)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3094102750:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (3921444)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1778918005:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (3921445)dis+10_1_sil=32000:sp=arity:random_seed=1266153513:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (3921448)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3986200645:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % TRYING [1]
% 0.17/0.48 % TRYING [2]
% 0.17/0.48 % TRYING [3]
% 0.17/0.48 % (3921443) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3921437-3921443"...
% 0.17/0.48 % (3921446) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3921437-3921446"...
% 0.17/0.48 % (3921443)...printing done.
% 0.17/0.48 % (3921446)...printing done.
% 0.17/0.48 % (3921445) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3921437-3921445"...
% 0.17/0.48 % (3921443)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (3921443)------------------------------
% 0.17/0.48 % (3921443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (3921443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (3921443)CaDiCaL version: 2.1.3
% 0.17/0.48 % (3921443)Termination reason: Refutation
% 0.17/0.48 % (3921443)Time elapsed: 0.009 s
% 0.17/0.48 % (3921443)Peak memory usage: 12 MB
% 0.17/0.48 % (3921443)Instructions burned: 12 (million)
% 0.17/0.48 % (3921437)Success in time 0.042 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------