%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV237+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:08:27 PM UTC 2026
% Result : Theorem 6.23s 1.73s
% Output : Refutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 50 ( 20 unt; 3 def)
% Number of atoms : 112 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 121 ( 59 ~; 53 |; 4 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : enc(i(X0),enc(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',enc_dec_cancel) ).
fof(f2,axiom,
! [X0,X1] : enc(X0,enc(i(X0),X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dec_enc_cancel) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( p(X0)
& p(X1)
& p(X2) )
=> p(enc(enc(i(tmk),X1),enc(i(tc),X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',encrypt_a_stored_comms_key) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( p(X0)
& p(X1)
& p(X2) )
=> p(enc(tc,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',encrypt_clear_key_as_Tcomms_key) ).
fof(f17,axiom,
p(enc(tmk,pp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_knows_1) ).
fof(f23,axiom,
p(i(kk)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_knows_7) ).
fof(f24,axiom,
p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_knows_8) ).
fof(f25,conjecture,
p(enc(pp,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f26,negated_conjecture,
~ p(enc(pp,a)),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f27,plain,
~ p(enc(pp,a)),
inference(flattening,[],[f26]) ).
fof(f37,plain,
! [X0,X1,X2] :
( p(enc(enc(i(tmk),X1),enc(i(tc),X0)))
| ~ p(X0)
| ~ p(X1)
| ~ p(X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f38,plain,
! [X0,X1,X2] :
( p(enc(enc(i(tmk),X1),enc(i(tc),X0)))
| ~ p(X0)
| ~ p(X1)
| ~ p(X2) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( p(enc(tc,X0))
| ~ p(X0)
| ~ p(X1)
| ~ p(X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f40,plain,
! [X0,X1,X2] :
( p(enc(tc,X0))
| ~ p(X0)
| ~ p(X1)
| ~ p(X2) ),
inference(flattening,[],[f39]) ).
fof(f53,plain,
! [X0,X1] : enc(i(X0),enc(X0,X1)) = X1,
inference(cnf_transformation,[],[f1]) ).
fof(f54,plain,
! [X0,X1] : enc(X0,enc(i(X0),X1)) = X1,
inference(cnf_transformation,[],[f2]) ).
fof(f61,plain,
! [X2,X0,X1] :
( p(enc(enc(i(tmk),X1),enc(i(tc),X0)))
| ~ p(X0)
| ~ p(X1)
| ~ p(X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f62,plain,
! [X2,X0,X1] :
( p(enc(tc,X0))
| ~ p(X0)
| ~ p(X1)
| ~ p(X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f69,plain,
p(enc(tmk,pp)),
inference(cnf_transformation,[],[f17]) ).
fof(f75,plain,
p(i(kk)),
inference(cnf_transformation,[],[f23]) ).
fof(f76,plain,
p(a),
inference(cnf_transformation,[],[f24]) ).
fof(f77,plain,
~ p(enc(pp,a)),
inference(cnf_transformation,[],[f27]) ).
fof(f79,definition,
( spl0_1
<=> ! [X2] : ~ p(X2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f80,plain,
( ! [X2] : ~ p(X2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f98,definition,
( spl0_6
<=> ! [X0] :
( p(enc(tc,X0))
| ~ p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f99,plain,
( ! [X0] :
( p(enc(tc,X0))
| ~ p(X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f100,plain,
( spl0_1
| spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f62,f98,f79,f79]) ).
fof(f102,definition,
( spl0_7
<=> ! [X0,X1] :
( p(enc(enc(i(tmk),X1),enc(i(tc),X0)))
| ~ p(X1)
| ~ p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f103,plain,
( ! [X0,X1] :
( p(enc(enc(i(tmk),X1),enc(i(tc),X0)))
| ~ p(X1)
| ~ p(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f104,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f61,f102,f79]) ).
fof(f130,plain,
( ! [X0] :
( p(X0)
| ~ p(enc(i(tc),X0)) )
| ~ spl0_6 ),
inference(superposition,[],[f99,f54]) ).
fof(f172,plain,
( ! [X0,X1] :
( ~ p(enc(tmk,X0))
| p(enc(X0,enc(i(tc),X1)))
| ~ p(X1) )
| ~ spl0_7 ),
inference(superposition,[],[f103,f53]) ).
fof(f274,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f80,f75]) ).
fof(f302,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f421,plain,
( ! [X0] :
( p(enc(pp,enc(i(tc),X0)))
| ~ p(X0) )
| ~ spl0_7 ),
inference(resolution,[],[f172,f69]) ).
fof(f918,plain,
( ! [X0] :
( p(enc(pp,X0))
| ~ p(enc(tc,X0)) )
| ~ spl0_7 ),
inference(superposition,[],[f421,f53]) ).
fof(f1975,plain,
( ~ p(enc(tc,a))
| ~ spl0_7 ),
inference(resolution,[],[f918,f77]) ).
fof(f1982,plain,
( ~ p(enc(i(tc),enc(tc,a)))
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1975,f130]) ).
fof(f1984,plain,
( ~ p(a)
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1982,f53]) ).
fof(f1987,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1984,f76]) ).
fof(f1988,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1987]) ).
cnf(s5,plain,
( spl0_1
| spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f100]) ).
cnf(s6,plain,
( spl0_1
| spl0_6 ),
inference(rat,[],[s5]) ).
cnf(s7,plain,
( spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f104]) ).
cnf(s21,plain,
~ spl0_1,
inference(sat_conversion,[],[f302]) ).
cnf(s81,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f1988]) ).
cnf(s88,plain,
spl0_7,
inference(rat,[],[s7,s21]) ).
cnf(s89,plain,
~ spl0_6,
inference(rat,[],[s81,s88]) ).
cnf(s91,plain,
$false,
inference(rat,[],[s6,s89,s21]) ).
fof(f1989,plain,
$false,
inference(avatar_sat_refutation,[],[s91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV237+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n019.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Mon Sep 28 10:14:48 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 Running first-order theorem proving
% 0.26/0.31 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
% 6.23/1.73 % (3907171)Detected formulas, will run a generic FOF schedule.
% 6.23/1.73 % (3907181)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3282380707:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.23/1.73 % (3907181)Refutation not found, incomplete strategy
% 6.23/1.73 % (3907181)------------------------------
% 6.23/1.73 % (3907181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.73 % (3907181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.73 % (3907181)CaDiCaL version: 2.1.3
% 6.23/1.73 % (3907181)Termination reason: Refutation not found, incomplete strategy
% 6.23/1.73 % (3907181)Time elapsed: 0.001 s
% 6.23/1.73 % (3907181)Peak memory usage: 88 MB
% 6.23/1.73 % (3907177)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=3353043148:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.23/1.73 % (3907180)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2211961024:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.23/1.73 % (3907178)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=3096943464:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.23/1.73 % (3907182)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3270866089:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.23/1.73 % (3907179)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=481479755:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.23/1.73 % (3907180)Refutation not found, incomplete strategy
% 6.23/1.73 % (3907180)------------------------------
% 6.23/1.73 % (3907180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.73 % (3907180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.73 % (3907180)CaDiCaL version: 2.1.3
% 6.23/1.73 % (3907180)Termination reason: Refutation not found, incomplete strategy
% 6.23/1.73 % (3907180)Time elapsed: 0.002 s
% 6.23/1.73 % (3907180)Peak memory usage: 88 MB
% 6.23/1.73 % (3907183)dis-21_1_sil=8000:lcm=predicate:random_seed=1970292673: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)
% 6.23/1.73 % (3907183)Refutation not found, incomplete strategy
% 6.23/1.73 % (3907183)------------------------------
% 6.23/1.73 % (3907183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.73 % (3907183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.73 % (3907183)CaDiCaL version: 2.1.3
% 6.23/1.73 % (3907183)Termination reason: Refutation not found, incomplete strategy
% 6.23/1.73 % (3907183)Time elapsed: 0.003 s
% 6.23/1.73 % (3907183)Peak memory usage: 88 MB
% 6.23/1.73 % (3907183)Instructions burned: 1 (million)
% 6.23/1.73 % (3907182)First to succeed.
% 6.23/1.73 % (3907182)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3907171"
% 6.23/1.73 % (3907181)------------------------------
% 6.23/1.73 % (3907181)------------------------------
% 6.23/1.73 % (3907183)------------------------------
% 6.23/1.73 % (3907183)------------------------------
% 6.23/1.73 % (3907180)------------------------------
% 6.23/1.73 % (3907180)------------------------------
% 6.23/1.73 % (3907191)lrs+10_1_sil=8000:sp=occurrence:random_seed=2745324461:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 6.23/1.73 % (3907191)Refutation not found, incomplete strategy
% 6.23/1.73 % (3907191)------------------------------
% 6.23/1.73 % (3907191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.73 % (3907191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.73 % (3907191)CaDiCaL version: 2.1.3
% 6.23/1.73 % (3907191)Termination reason: Refutation not found, incomplete strategy
% 6.23/1.73 % (3907191)Time elapsed: 0.003 s
% 6.23/1.73 % (3907191)Peak memory usage: 88 MB
% 6.23/1.73 % (3907191)Instructions burned: 1 (million)
% 6.23/1.73 % (3907182)Refutation found. Thanks to Tanya!
% 6.23/1.73 % SZS status Theorem for theBenchmark
% 6.23/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 6.23/1.73 % (3907182)------------------------------
% 6.23/1.73 % (3907182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.73 % (3907182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.73 % (3907182)CaDiCaL version: 2.1.3
% 6.23/1.73 % (3907182)Termination reason: Refutation
% 6.23/1.73 % (3907182)Time elapsed: 0.116 s
% 6.23/1.73 % (3907182)Peak memory usage: 90 MB
% 6.23/1.73 % (3907182)Instructions burned: 102 (million)
% 6.23/1.73 % (3907182)------------------------------
% 6.23/1.73 % (3907182)------------------------------
% 6.23/1.73 % (3907171)Success in time 0.78 s
% 6.23/1.73 % Vampire exiting
%------------------------------------------------------------------------------