%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUN069+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 12:27:02 PM UTC 2026
% Result : Theorem 0.23s 0.51s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 28 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 29 ( 13 ~; 7 |; 9 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 23 ( 15 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
? [X1] :
! [X2] :
( ( ~ r2(X0,X2)
& X2 != X1 )
| ( r2(X0,X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
fof(f9,axiom,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,X1) )
& ? [X3] :
( r1(X3)
& X1 = X3 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
fof(f12,conjecture,
? [X0] :
( X0 = X0
& ? [X1] :
( r1(X1)
& r2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneeqone) ).
fof(f13,negated_conjecture,
~ ? [X0] :
( X0 = X0
& ? [X1] :
( r1(X1)
& r2(X1,X0) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0] :
( X0 != X0
| ! [X1] :
( ~ r1(X1)
| ~ r2(X1,X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f17,plain,
! [X2,X0] :
( r2(X0,X2)
| sK1(X0) != X2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f38,plain,
! [X0] : r1(sK16(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f46,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X1)
| X0 != X0 ),
inference(cnf_transformation,[],[f14]) ).
fof(f51,plain,
! [X0] : r2(X0,sK1(X0)),
inference(equality_resolution,[],[f17]) ).
fof(f56,plain,
! [X0,X1] :
( ~ r1(X1)
| ~ r2(X1,X0) ),
inference(trivial_inequality_removal,[],[f46]) ).
fof(f59,plain,
! [X0,X1] : ~ r2(sK16(X0),X1),
inference(resolution,[],[f38,f56]) ).
fof(f64,plain,
$false,
inference(resolution,[],[f51,f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUN069+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.18/0.43 % Computer : n013.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 21:52:36 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.48 Running first-order model finding
% 0.23/0.48 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
% 0.23/0.51 % (592459)Will run a generic schedule for satisfiability detection.
% 0.23/0.51 % (592468)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2906243380:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.51 % (592467)dis+10_1_sil=32000:sp=arity:random_seed=2666991839:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.51 % (592468) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-592459-592468"...
% 0.23/0.51 % (592468)...printing done.
% 0.23/0.51 % (592467) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-592459-592467"...
% 0.23/0.51 % (592468)Refutation found. Thanks to Tanya!
% 0.23/0.51 % SZS status Theorem for theBenchmark
% 0.23/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.51 % (592468)------------------------------
% 0.23/0.51 % (592468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.51 % (592468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.51 % (592468)CaDiCaL version: 2.1.3
% 0.23/0.51 % (592468)Termination reason: Refutation
% 0.23/0.51 % (592468)Time elapsed: 0.002 s
% 0.23/0.51 % (592468)Peak memory usage: 11 MB
% 0.23/0.51 % (592468)Instructions burned: 2 (million)
% 0.23/0.51 % (592459)Success in time 0.026 s
% 0.23/0.51 % Vampire exiting
%------------------------------------------------------------------------------