%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM464+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:24:24 PM UTC 2026
% Result : Theorem 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 48 ( 20 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 16 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f27,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).
fof(f28,conjecture,
( xm != sz00
=> sdtlseqdt0(sz10,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f29,negated_conjecture,
~ ( xm != sz00
=> sdtlseqdt0(sz10,xm) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f60,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f71,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f72,plain,
! [X0] :
( X0 = sz00
| X0 = sz10
| ( sz10 != X0
& sdtlseqdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
( ~ sdtlseqdt0(sz10,xm)
& xm != sz00 ),
inference(ennf_transformation,[],[f29]) ).
fof(f81,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f122,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f125,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f27]) ).
fof(f126,plain,
sz00 != xm,
inference(cnf_transformation,[],[f73]) ).
fof(f127,plain,
~ sdtlseqdt0(sz10,xm),
inference(cnf_transformation,[],[f73]) ).
fof(f205,plain,
( sz10 = xm
| sz00 = xm
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f122,f127]) ).
fof(f206,plain,
( sz10 = xm
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f205,f126]) ).
fof(f207,plain,
sz10 = xm,
inference(forward_subsumption_resolution,[],[f206,f125]) ).
fof(f210,plain,
~ sdtlseqdt0(sz10,sz10),
inference(superposition,[],[f127,f207]) ).
fof(f226,plain,
~ aNaturalNumber0(sz10),
inference(resolution,[],[f210,f109]) ).
fof(f227,plain,
$false,
inference(forward_subsumption_resolution,[],[f226,f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM464+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n011.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:02:01 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46 % (2721940)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (2721948)dis+10_1_sil=32000:sp=arity:random_seed=3861707587:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.46 % (2721948) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2721940-2721948"...
% 0.17/0.46 % (2721946)% WARNING: option uhcvi not known.
% 0.17/0.46 % (2721948)...printing done.
% 0.17/0.46 % (2721948)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Theorem for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (2721948)------------------------------
% 0.17/0.46 % (2721948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (2721948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (2721948)CaDiCaL version: 2.1.3
% 0.17/0.46 % (2721948)Termination reason: Refutation
% 0.17/0.46 % (2721948)Time elapsed: 0.003 s
% 0.17/0.46 % (2721948)Peak memory usage: 12 MB
% 0.17/0.46 % (2721948)Instructions burned: 6 (million)
% 0.17/0.46 % (2721940)Success in time 0.034 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------