%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV011+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 01:19:58 PM UTC 2026
% Result : Theorem 0.25s 0.34s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 2 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
b_holds(key(generate_key(an_a_nonce),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f13,axiom,
a_holds(key(generate_key(an_a_nonce),b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f17,conjecture,
? [X0] :
( a_holds(key(X0,b))
& b_holds(key(X0,a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f18,negated_conjecture,
~ ? [X0] :
( a_holds(key(X0,b))
& b_holds(key(X0,a)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f31,plain,
! [X0] :
( ~ a_holds(key(X0,b))
| ~ b_holds(key(X0,a)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f34,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(cnf_transformation,[],[f11]) ).
fof(f35,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(cnf_transformation,[],[f13]) ).
fof(f36,plain,
! [X0] :
( ~ b_holds(key(X0,a))
| ~ a_holds(key(X0,b)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f37,plain,
~ a_holds(key(generate_key(an_a_nonce),b)),
inference(resolution,[],[f34,f36]) ).
fof(f38,plain,
$false,
inference(forward_subsumption_resolution,[],[f37,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV011+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 % Computer : n010.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Mon Sep 28 09:42:33 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.29 Running first-order model finding
% 0.25/0.29 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
% 0.25/0.34 % (1810661)Will run a generic schedule for satisfiability detection.
% 0.25/0.34 % (1810666)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1681154736_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.34 % TRYING [1]
% 0.25/0.34 % TRYING [2]
% 0.25/0.34 % TRYING [3]
% 0.25/0.34 % TRYING [4]
% 0.25/0.34 % TRYING [5]
% 0.25/0.34 % (1810667)% WARNING: option uhcvi not known.
% 0.25/0.34 % TRYING [6]
% 0.25/0.34 % TRYING [7]
% 0.25/0.34 % (1810667)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4228354971:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.34 % TRYING [8]
% 0.25/0.34 % (1810672)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=379190834:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.25/0.34 % (1810667) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1810661-1810667"...
% 0.25/0.34 % (1810672) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1810661-1810672"...
% 0.25/0.34 % (1810667)...printing done.
% 0.25/0.34 % TRYING [9]
% 0.25/0.34 % (1810667)Refutation found. Thanks to Tanya!
% 0.25/0.34 % SZS status Theorem for theBenchmark
% 0.25/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.34 % (1810667)------------------------------
% 0.25/0.34 % (1810667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.34 % (1810667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.34 % (1810667)CaDiCaL version: 2.1.3
% 0.25/0.34 % (1810667)Termination reason: Refutation
% 0.25/0.34 % (1810667)Time elapsed: 0.002 s
% 0.25/0.34 % (1810667)Peak memory usage: 11 MB
% 0.25/0.34 % (1810661)Success in time 0.034 s
% 0.25/0.34 % Vampire exiting
%------------------------------------------------------------------------------