%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN982-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 02:06:07 PM UTC 2026
% Result : Unsatisfiable 3.46s 1.18s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 64 ( 20 unt; 4 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 161 ( 83 ~; 74 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 12 ( 11 usr; 5 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
ssP(t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,axiom,
ssBf(na),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,axiom,
ssP(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f5,axiom,
ssP(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f14,axiom,
! [X0,X1] :
( ~ ssIm(pair(X0,X1))
| ssIm(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f16,axiom,
ssM(sent(a,b,pair(a,na))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ ssIm(triple(X0,X1,X2))
| ssIm(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f18,axiom,
! [X2,X0,X1] :
( ~ ssIm(triple(X0,X1,X2))
| ssIm(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ ssM(sent(X0,X1,X2))
| ssIm(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f25,axiom,
! [X0,X1] :
( ssIk(key(X0,X1))
| ~ ssP(X1)
| ~ ssIm(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f26,axiom,
! [X0,X1] :
( ssIm(pair(X0,X1))
| ~ ssIm(X1)
| ~ ssIm(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f27,axiom,
! [X2,X0,X1] :
( ssM(sent(X1,X2,X0))
| ~ ssP(X1)
| ~ ssP(X2)
| ~ ssIm(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f29,axiom,
! [X2,X0,X1] :
( ~ ssIk(key(X1,X2))
| ~ ssIm(X0)
| ~ ssP(X2)
| ssIm(encr(X0,X1)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f34,axiom,
! [X2,X0,X1] :
( ~ ssM(sent(X0,b,pair(encr(triple(X0,X1,tb(X2)),bt),encr(nb(X2),X1))))
| ~ ssSb(pair(X0,X2))
| ssBk(key(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f37,negated_conjecture,
! [X0] :
( ~ ssIk(key(X0,b))
| ~ ssBk(key(X0,a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f38,plain,
ssIm(pair(a,na)),
inference(resolution,[],[f20,f16]) ).
fof(f40,plain,
ssIm(na),
inference(resolution,[],[f38,f14]) ).
fof(f41,plain,
! [X0] :
( ~ ssP(b)
| ~ ssIm(X0)
| ~ ssBk(key(X0,a)) ),
inference(resolution,[],[f25,f37]) ).
fof(f42,plain,
! [X0] :
( ~ ssBk(key(X0,a))
| ~ ssIm(X0) ),
inference(forward_subsumption_resolution,[],[f41,f4]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ ssIm(X0)
| ~ ssP(X1)
| ssIm(encr(X0,X2))
| ~ ssP(X1)
| ~ ssIm(X2) ),
inference(resolution,[],[f29,f25]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ ssIm(X0)
| ~ ssP(X1)
| ssIm(encr(X0,X2))
| ~ ssIm(X2) ),
inference(duplicate_literal_removal,[],[f49]) ).
fof(f52,definition,
( spl0_1
<=> ! [X1] : ~ ssP(X1) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f53,plain,
( ! [X1] : ~ ssP(X1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,definition,
( spl0_2
<=> ! [X2,X0] :
( ~ ssIm(X0)
| ~ ssIm(X2)
| ssIm(encr(X0,X2)) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f56,plain,
( ! [X2,X0] :
( ssIm(encr(X0,X2))
| ~ ssIm(X2)
| ~ ssIm(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f57,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f50,f55,f52]) ).
fof(f58,plain,
( ~ ssBf(na)
| ssSb(pair(a,na)) ),
inference(resolution,[],[f30,f16]) ).
fof(f61,plain,
ssSb(pair(a,na)),
inference(forward_subsumption_resolution,[],[f58,f3]) ).
fof(f66,plain,
( ~ ssBf(na)
| ssM(sent(b,t,triple(b,nb(na),encr(triple(a,na,tb(na)),bt)))) ),
inference(resolution,[],[f33,f16]) ).
fof(f69,plain,
ssM(sent(b,t,triple(b,nb(na),encr(triple(a,na,tb(na)),bt)))),
inference(forward_subsumption_resolution,[],[f66,f3]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ ssSb(pair(X0,X1))
| ssBk(key(X2,X0))
| ~ ssP(X0)
| ~ ssP(b)
| ~ ssIm(pair(encr(triple(X0,X2,tb(X1)),bt),encr(nb(X1),X2))) ),
inference(resolution,[],[f34,f27]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ ssIm(pair(encr(triple(X0,X2,tb(X1)),bt),encr(nb(X1),X2)))
| ssBk(key(X2,X0))
| ~ ssP(X0)
| ~ ssSb(pair(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f72,f4]) ).
fof(f77,plain,
ssIm(triple(b,nb(na),encr(triple(a,na,tb(na)),bt))),
inference(resolution,[],[f69,f20]) ).
fof(f84,plain,
ssIm(nb(na)),
inference(resolution,[],[f77,f18]) ).
fof(f85,plain,
ssIm(encr(triple(a,na,tb(na)),bt)),
inference(resolution,[],[f77,f17]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ ssIm(encr(triple(X1,X0,tb(X2)),bt))
| ~ ssP(X1)
| ~ ssSb(pair(X1,X2))
| ~ ssIm(encr(nb(X2),X0))
| ssBk(key(X0,X1)) ),
inference(resolution,[],[f73,f26]) ).
fof(f97,plain,
( ~ ssP(a)
| ~ ssSb(pair(a,na))
| ~ ssIm(encr(nb(na),na))
| ssBk(key(na,a)) ),
inference(resolution,[],[f89,f85]) ).
fof(f107,plain,
( ~ ssSb(pair(a,na))
| ~ ssIm(encr(nb(na),na))
| ssBk(key(na,a)) ),
inference(forward_subsumption_resolution,[],[f97,f5]) ).
fof(f108,plain,
( ~ ssIm(encr(nb(na),na))
| ssBk(key(na,a)) ),
inference(forward_subsumption_resolution,[],[f107,f61]) ).
fof(f110,definition,
( spl0_5
<=> ssBk(key(na,a)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f112,plain,
( ssBk(key(na,a))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f114,definition,
( spl0_6
<=> ssIm(encr(nb(na),na)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f116,plain,
( ~ ssIm(encr(nb(na),na))
| spl0_6 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f108,f114,f110]) ).
fof(f131,plain,
( ~ ssIm(na)
| ~ ssIm(nb(na))
| ~ spl0_2
| spl0_6 ),
inference(resolution,[],[f116,f56]) ).
fof(f132,plain,
( ~ ssIm(nb(na))
| ~ spl0_2
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f131,f40]) ).
fof(f133,plain,
( $false
| ~ spl0_2
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f132,f84]) ).
fof(f134,plain,
( ~ spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f139,plain,
( ~ ssIm(na)
| ~ spl0_5 ),
inference(resolution,[],[f112,f42]) ).
fof(f140,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f139,f40]) ).
fof(f141,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f142,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f53,f2]) ).
fof(f147,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f142]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f57]) ).
cnf(s3,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f117]) ).
cnf(s5,plain,
( ~ spl0_2
| spl0_6 ),
inference(sat_conversion,[],[f134]) ).
cnf(s6,plain,
~ spl0_5,
inference(sat_conversion,[],[f141]) ).
cnf(s9,plain,
~ spl0_1,
inference(sat_conversion,[],[f147]) ).
cnf(s10,plain,
~ spl0_6,
inference(rat,[],[s3,s6]) ).
cnf(s11,plain,
~ spl0_2,
inference(rat,[],[s5,s10]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s11,s9]) ).
fof(f148,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN982-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n011.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
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 17:19:16 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.46/1.18 % (3539261)Input is clausal, will run a generic CNF schedule.
% 3.46/1.18 % (3539266)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=362347344:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.46/1.18 % (3539267)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2105587426:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.46/1.18 % (3539272)dis-21_1_sil=8000:lcm=predicate:random_seed=2114415919:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.46/1.18 % (3539269)lrs+10_1_sil=8000:sp=occurrence:random_seed=1087846631:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.46/1.18 % (3539270)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2204728640:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.46/1.18 % (3539268)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1001995662:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.46/1.18 % (3539271)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4105883466:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.46/1.18 % (3539269)First to succeed.
% 3.46/1.18 % (3539270)Also succeeded, but the first one will report.
% 3.46/1.18 % (3539272)Also succeeded, but the first one will report.
% 3.46/1.18 % (3539269)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3539261"
% 3.46/1.18 % (3539271)Also succeeded, but the first one will report.
% 3.46/1.18 % (3539269)Refutation found. Thanks to Tanya!
% 3.46/1.18 % SZS status Unsatisfiable for theBenchmark
% 3.46/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 3.46/1.18 % (3539269)------------------------------
% 3.46/1.18 % (3539269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.18 % (3539269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.18 % (3539269)CaDiCaL version: 2.1.3
% 3.46/1.18 % (3539269)Termination reason: Refutation
% 3.46/1.18 % (3539269)Time elapsed: 0.005 s
% 3.46/1.18 % (3539269)Peak memory usage: 89 MB
% 3.46/1.18 % (3539269)Instructions burned: 5 (million)
% 3.46/1.18 % (3539269)------------------------------
% 3.46/1.18 % (3539269)------------------------------
% 3.46/1.18 % (3539261)Success in time 0.412 s
% 3.46/1.18 % Vampire exiting
%------------------------------------------------------------------------------