%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV011+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:07:53 PM UTC 2026
% Result : Theorem 3.44s 1.25s
% Output : Refutation 3.44s
% 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/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f13,axiom,
a_holds(key(generate_key(an_a_nonce),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f17,conjecture,
? [X0] :
( a_holds(key(X0,b))
& b_holds(key(X0,a)) ),
file('/export/starexec/sandbox/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(f19,plain,
! [X0] :
( ~ a_holds(key(X0,b))
| ~ b_holds(key(X0,a)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
! [X0] :
( ~ b_holds(key(X0,a))
| ~ a_holds(key(X0,b)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f21,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(cnf_transformation,[],[f13]) ).
fof(f23,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(cnf_transformation,[],[f11]) ).
fof(f25,plain,
~ a_holds(key(generate_key(an_a_nonce),b)),
inference(resolution,[],[f20,f23]) ).
fof(f26,plain,
$false,
inference(forward_subsumption_resolution,[],[f25,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV011+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:42:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.44/1.25 % (243820)Detected formulas, will run a generic FOF schedule.
% 3.44/1.25 % (243869)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2508197192:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.44/1.25 % (243872)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=939768472:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.44/1.25 % (243870)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3074935623:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.44/1.25 % (243873)dis-21_1_sil=8000:lcm=predicate:random_seed=2572257323:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.44/1.25 % (243868)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=870395389:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.44/1.25 % (243867)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3494434686:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.44/1.25 % (243873)Also succeeded, but the first one will report.
% 3.44/1.25 % (243870)First to succeed.
% 3.44/1.25 % (243872)Also succeeded, but the first one will report.
% 3.44/1.25 % (243870)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-243820"
% 3.44/1.25 % (243871)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2214969960:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.44/1.25 % (243871)Also succeeded, but the first one will report.
% 3.44/1.25 % (243870)Refutation found. Thanks to Tanya!
% 3.44/1.25 % SZS status Theorem for theBenchmark
% 3.44/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.25 % (243870)------------------------------
% 3.44/1.25 % (243870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.25 % (243870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.25 % (243870)CaDiCaL version: 2.1.3
% 3.44/1.25 % (243870)Termination reason: Refutation
% 3.44/1.25 % (243870)Time elapsed: 0.001 s
% 3.44/1.25 % (243870)Peak memory usage: 88 MB
% 3.44/1.25 % (243870)------------------------------
% 3.44/1.25 % (243870)------------------------------
% 3.44/1.25 % (243820)Success in time 0.397 s
% 3.44/1.25 % Vampire exiting
%------------------------------------------------------------------------------