%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN982-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 02:23:00 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 65 ( 18 unt; 2 def)
% Number of atoms : 165 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 181 ( 81 ~; 98 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
ssBf(na),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,axiom,
ssP(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,axiom,
ssP(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f14,axiom,
! [X0,X1] :
( ~ ssIm(pair(X0,X1))
| ssIm(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f16,axiom,
ssM(sent(a,b,pair(a,na))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ ssIm(triple(X0,X1,X2))
| ssIm(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f18,axiom,
! [X2,X0,X1] :
( ~ ssIm(triple(X0,X1,X2))
| ssIm(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ ssM(sent(X0,X1,X2))
| ssIm(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f25,axiom,
! [X0,X1] :
( ~ ssIm(X0)
| ~ ssP(X1)
| ssIk(key(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f26,axiom,
! [X0,X1] :
( ~ ssIm(X1)
| ~ ssIm(X0)
| ssIm(pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f27,axiom,
! [X2,X0,X1] :
( ~ ssIm(X0)
| ~ ssP(X1)
| ~ ssP(X2)
| ssM(sent(X1,X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f29,axiom,
! [X2,X0,X1] :
( ~ ssIm(X0)
| ~ ssIk(key(X1,X2))
| ~ ssP(X2)
| ssIm(encr(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f30,axiom,
! [X0,X1] :
( ~ ssM(sent(X0,b,pair(X0,X1)))
| ~ ssBf(X1)
| ssSb(pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f33,axiom,
! [X0,X1] :
( ~ ssM(sent(X0,b,pair(X0,X1)))
| ~ ssBf(X1)
| ssM(sent(b,t,triple(b,nb(X1),encr(triple(X0,X1,tb(X1)),bt)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f34,axiom,
! [X2,X0,X1] :
( ~ ssSb(pair(X0,X2))
| ~ ssM(sent(X0,b,pair(encr(triple(X0,X1,tb(X2)),bt),encr(nb(X2),X1))))
| ssBk(key(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f37,negated_conjecture,
! [X0] :
( ~ ssIk(key(X0,b))
| ~ ssBk(key(X0,a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f40,plain,
~ ssBf(na),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f41,plain,
~ ssP(b),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f42,plain,
~ ssP(a),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f47,plain,
! [X0,X1] :
( ssIk(key(X0,X1))
| ssP(X1)
| ~ ssIm(X0) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ssM(sent(X1,X2,X0))
| ssP(X1)
| ssP(X2)
| ~ ssIm(X0) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ ssIk(key(X1,X2))
| ~ ssIm(X0)
| ssP(X2)
| ssIm(encr(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f50,plain,
! [X0,X1] :
( ~ ssM(sent(X0,b,pair(X0,X1)))
| ssBf(X1)
| ssSb(pair(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f51,plain,
! [X0,X1] :
( ~ ssM(sent(X0,b,pair(X0,X1)))
| ssBf(X1)
| ssM(sent(b,t,triple(b,nb(X1),encr(triple(X0,X1,tb(X1)),bt)))) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f54,plain,
ssIm(pair(a,na)),
inference(resolution,[],[f20,f16]) ).
fof(f60,plain,
! [X0] :
( ssP(b)
| ~ ssIm(X0)
| ~ ssBk(key(X0,a)) ),
inference(resolution,[],[f47,f37]) ).
fof(f61,plain,
! [X0] :
( ~ ssBk(key(X0,a))
| ~ ssIm(X0) ),
inference(forward_subsumption_resolution,[],[f60,f41]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ ssIm(X0)
| ssP(X1)
| ssIm(encr(X0,X2))
| ssP(X1)
| ~ ssIm(X2) ),
inference(resolution,[],[f49,f47]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ ssIm(X0)
| ssP(X1)
| ssIm(encr(X0,X2))
| ~ ssIm(X2) ),
inference(duplicate_literal_removal,[],[f76]) ).
fof(f79,definition,
( spl0_1
<=> ! [X1] : ssP(X1) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f80,plain,
( ! [X1] : ssP(X1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,definition,
( spl0_2
<=> ! [X2,X0] :
( ~ ssIm(X0)
| ~ ssIm(X2)
| ssIm(encr(X0,X2)) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f83,plain,
( ! [X2,X0] :
( ssIm(encr(X0,X2))
| ~ ssIm(X2)
| ~ ssIm(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f77,f82,f79]) ).
fof(f85,plain,
( ssBf(na)
| ssSb(pair(a,na)) ),
inference(resolution,[],[f50,f16]) ).
fof(f88,plain,
ssSb(pair(a,na)),
inference(forward_subsumption_resolution,[],[f85,f40]) ).
fof(f94,plain,
( ssBf(na)
| ssM(sent(b,t,triple(b,nb(na),encr(triple(a,na,tb(na)),bt)))) ),
inference(resolution,[],[f51,f16]) ).
fof(f95,plain,
! [X0,X1] :
( ssBf(X0)
| ssM(sent(b,t,triple(b,nb(X0),encr(triple(X1,X0,tb(X0)),bt))))
| ssP(X1)
| ssP(b)
| ~ ssIm(pair(X1,X0)) ),
inference(resolution,[],[f51,f48]) ).
fof(f96,plain,
! [X0,X1] :
( ssM(sent(b,t,triple(b,nb(X0),encr(triple(X1,X0,tb(X0)),bt))))
| ssBf(X0)
| ssP(X1)
| ~ ssIm(pair(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f95,f41]) ).
fof(f97,plain,
ssM(sent(b,t,triple(b,nb(na),encr(triple(a,na,tb(na)),bt)))),
inference(forward_subsumption_resolution,[],[f94,f40]) ).
fof(f98,plain,
! [X0] :
( ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0))))
| ssBk(key(X0,a)) ),
inference(resolution,[],[f88,f34]) ).
fof(f104,plain,
( ! [X2,X0,X1] :
( ssIm(pair(X2,encr(X1,X0)))
| ~ ssIm(X1)
| ~ ssIm(X2)
| ~ ssIm(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f83,f26]) ).
fof(f119,plain,
ssIm(triple(b,nb(na),encr(triple(a,na,tb(na)),bt))),
inference(resolution,[],[f97,f20]) ).
fof(f123,plain,
ssIm(nb(na)),
inference(resolution,[],[f119,f18]) ).
fof(f132,plain,
! [X0,X1] :
( ssIm(triple(b,nb(X0),encr(triple(X1,X0,tb(X0)),bt)))
| ssP(X1)
| ~ ssIm(pair(X1,X0))
| ssBf(X0) ),
inference(resolution,[],[f96,f20]) ).
fof(f147,plain,
! [X0] :
( ssBk(key(X0,a))
| ssP(a)
| ssP(b)
| ~ ssIm(pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0))) ),
inference(resolution,[],[f98,f48]) ).
fof(f148,plain,
! [X0] :
( ssBk(key(X0,a))
| ssP(b)
| ~ ssIm(pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0))) ),
inference(forward_subsumption_resolution,[],[f147,f42]) ).
fof(f149,plain,
! [X0] :
( ~ ssIm(pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0)))
| ssBk(key(X0,a)) ),
inference(forward_subsumption_resolution,[],[f148,f41]) ).
fof(f152,plain,
! [X0,X1] :
( ssIm(encr(triple(X0,X1,tb(X1)),bt))
| ~ ssIm(pair(X0,X1))
| ssBf(X1)
| ssP(X0) ),
inference(resolution,[],[f132,f17]) ).
fof(f304,plain,
( ! [X0] :
( ssBk(key(X0,a))
| ~ ssIm(nb(na))
| ~ ssIm(encr(triple(a,X0,tb(na)),bt))
| ~ ssIm(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f149,f104]) ).
fof(f305,plain,
( ! [X0] :
( ~ ssIm(nb(na))
| ~ ssIm(encr(triple(a,X0,tb(na)),bt))
| ~ ssIm(X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f304,f61]) ).
fof(f306,plain,
( ! [X0] :
( ~ ssIm(encr(triple(a,X0,tb(na)),bt))
| ~ ssIm(X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f305,f123]) ).
fof(f308,plain,
( ~ ssIm(na)
| ~ ssIm(pair(a,na))
| ssBf(na)
| ssP(a)
| ~ spl0_2 ),
inference(resolution,[],[f306,f152]) ).
fof(f311,plain,
( ~ ssIm(pair(a,na))
| ssBf(na)
| ssP(a)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f308,f14]) ).
fof(f322,plain,
( ssBf(na)
| ssP(a)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f311,f54]) ).
fof(f323,plain,
( ssP(a)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f322,f40]) ).
fof(f324,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f323,f42]) ).
fof(f325,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f324]) ).
fof(f328,plain,
( $false
| ~ spl0_1 ),
inference(backward_subsumption_resolution,[],[f42,f80]) ).
fof(f331,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f328]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f84]) ).
cnf(s22,plain,
~ spl0_2,
inference(sat_conversion,[],[f325]) ).
cnf(s25,plain,
~ spl0_1,
inference(sat_conversion,[],[f331]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s1,s22,s25]) ).
fof(f332,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN982-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 17:14:36 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.26 % (3724418)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (3724424)% WARNING: option uhcvi not known.
% 0.08/0.26 % (3724424)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2036245124:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (3724424) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3724418-3724424"...
% 0.08/0.26 % (3724424)...printing done.
% 0.08/0.26 % (3724428)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4218065635:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.26 % (3724423)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3669816027_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % (3724426)dis+10_1_sil=32000:sp=arity:random_seed=1067096325:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (3724427)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1231696859:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (3724425)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1950454933:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (3724424)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (3724424)------------------------------
% 0.08/0.26 % (3724424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (3724424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (3724424)CaDiCaL version: 2.1.3
% 0.08/0.26 % (3724424)Termination reason: Refutation
% 0.08/0.26 % (3724424)Time elapsed: 0.005 s
% 0.08/0.26 % (3724424)Peak memory usage: 12 MB
% 0.08/0.26 % (3724424)Instructions burned: 10 (million)
% 0.08/0.26 % (3724418)Success in time 0.032 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------