%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN585-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 02:17:39 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 11 unt; 2 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 28 ~; 20 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_2) ).
fof(f6,negated_conjecture,
~ p2(c12,f3(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_6) ).
fof(f7,negated_conjecture,
p11(c18,f9(c12,c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).
fof(f12,negated_conjecture,
~ p11(c18,f9(c12,f8(c16,c14))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_12) ).
fof(f13,negated_conjecture,
! [X2,X0,X1] :
( p11(X0,f8(X1,X2))
| ~ p11(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_13) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( p11(X0,X1)
| ~ p11(X0,X2)
| ~ p11(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_16) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,f3(c13))
| p11(f9(X0,X1),f9(X0,X2))
| ~ p11(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
fof(f29,plain,
p2(c12,f3(c13)),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f45,plain,
! [X2,X0,X1] :
( p11(f9(X0,X1),f9(X0,X2))
| ~ p2(X0,f3(c13))
| ~ p11(X1,X2) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f46,plain,
! [X0] :
( ~ p11(c18,X0)
| ~ p11(X0,f9(c12,f8(c16,c14))) ),
inference(resolution,[],[f16,f12]) ).
fof(f1093,plain,
! [X0] :
( ~ p2(c12,f3(c13))
| ~ p11(X0,f8(c16,c14))
| ~ p11(c18,f9(c12,X0)) ),
inference(resolution,[],[f45,f46]) ).
fof(f1096,definition,
( spl0_5
<=> ! [X0] :
( ~ p11(X0,f8(c16,c14))
| ~ p11(c18,f9(c12,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f1097,plain,
( ! [X0] :
( ~ p11(X0,f8(c16,c14))
| ~ p11(c18,f9(c12,X0)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f1099,definition,
( spl0_6
<=> p2(c12,f3(c13)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1101,plain,
( ~ p2(c12,f3(c13))
| spl0_6 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1102,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1093,f1099,f1096]) ).
fof(f1103,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f1101,f29]) ).
fof(f1112,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f1103]) ).
fof(f1416,plain,
( ~ p11(c14,f8(c16,c14))
| ~ spl0_5 ),
inference(resolution,[],[f1097,f7]) ).
fof(f1419,plain,
( ~ p11(c14,c14)
| ~ spl0_5 ),
inference(resolution,[],[f1416,f13]) ).
fof(f1422,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f1419,f2]) ).
fof(f1425,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f1422]) ).
cnf(s3,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s4,plain,
spl0_6,
inference(sat_conversion,[],[f1112]) ).
cnf(s5,plain,
~ spl0_5,
inference(sat_conversion,[],[f1425]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s3,s4,s5]) ).
fof(f1426,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN585-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n016.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 16:34:34 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 Running first-order model finding
% 0.09/0.19 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.24 % (3751152)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (3751163)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1113695612:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.24 % (3751158)% WARNING: option uhcvi not known.
% 0.09/0.24 % (3751157)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=888282694_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.24 % (3751160)dis+10_1_sil=32000:sp=arity:random_seed=4055469348:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.24 % (3751159)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=257856295:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.24 % (3751161)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1375111607:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.24 % (3751162)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2805997819:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.24 % (3751158)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1779027317:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.24 % TRYING [1]
% 0.09/0.24 % TRYING [2]
% 0.09/0.24 % TRYING [3]
% 0.09/0.24 % (3751163) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3751152-3751163"...
% 0.09/0.24 % (3751163)...printing done.
% 0.09/0.24 % (3751160) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3751152-3751160"...
% 0.09/0.24 % (3751163)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.24 % (3751163)------------------------------
% 0.09/0.24 % (3751163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (3751163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (3751163)CaDiCaL version: 2.1.3
% 0.09/0.24 % (3751163)Termination reason: Refutation
% 0.09/0.24 % (3751163)Time elapsed: 0.013 s
% 0.09/0.24 % (3751163)Peak memory usage: 12 MB
% 0.09/0.24 % (3751163)Instructions burned: 38 (million)
% 0.09/0.24 % (3751152)Success in time 0.037 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------