%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUN089+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:27:07 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 39 ( 20 ~; 15 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 22 ( 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] :
( ! [X2] :
( ~ id(X2,X1)
| ~ r1(X2) )
| ~ r2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).
fof(f19,conjecture,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r2(X2,X1) )
| ~ r2(X1,X0) )
| ! [X3] :
( ~ id(X3,X0)
| ~ r1(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerounidtwo) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X2)
| ~ r2(X2,X1) )
| ~ r2(X1,X0) )
| ! [X3] :
( ~ id(X3,X0)
| ~ r1(X3) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r2(X2,X1) )
& r2(X1,X0) )
& ? [X3] :
( id(X3,X0)
& r1(X3) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f66,plain,
r2(sK22,sK20),
inference(cnf_transformation,[],[f21]) ).
fof(f67,plain,
r1(sK21),
inference(cnf_transformation,[],[f21]) ).
fof(f68,plain,
id(sK21,sK20),
inference(cnf_transformation,[],[f21]) ).
fof(f107,plain,
! [X2,X0,X1] :
( r2(X0,X1)
| id(X2,X1)
| r1(X2) ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f108,plain,
~ id(sK21,sK20),
inference(consistent_polarity_flipping,[],[f68]) ).
fof(f109,plain,
~ r1(sK21),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f110,plain,
~ r2(sK22,sK20),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f128,plain,
! [X0] :
( id(X0,sK20)
| r1(X0) ),
inference(resolution,[],[f107,f110]) ).
fof(f162,plain,
r1(sK21),
inference(resolution,[],[f128,f108]) ).
fof(f163,plain,
$false,
inference(forward_subsumption_resolution,[],[f162,f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN089+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n003.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 22:01:26 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (955739)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (955745)% WARNING: option uhcvi not known.
% 0.11/0.45 % (955745)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2105153424:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (955745) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-955739-955745"...
% 0.11/0.45 % (955745)...printing done.
% 0.11/0.45 % (955745)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (955745)------------------------------
% 0.11/0.45 % (955745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (955745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (955745)CaDiCaL version: 2.1.3
% 0.11/0.45 % (955745)Termination reason: Refutation
% 0.11/0.45 % (955745)Time elapsed: 0.002 s
% 0.11/0.45 % (955745)Peak memory usage: 12 MB
% 0.11/0.45 % (955745)Instructions burned: 3 (million)
% 0.11/0.45 % (955739)Success in time 0.026 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------