%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN554-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 02:17:35 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 13 unt; 1 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 16 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : ~ p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_2) ).
fof(f3,negated_conjecture,
~ p2(c6,c7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_3) ).
fof(f4,negated_conjecture,
p2(f3(c5,c6),f3(c5,c7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( p4(X1,X0)
| p4(X0,X1)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( p4(f3(c5,X0),f3(c5,X1))
| ~ p4(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_7) ).
fof(f8,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p4(X3,X2)
| ~ p2(X2,X1)
| p4(X0,X1)
| ~ p2(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_8) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( ~ p2(f3(c5,X3),X2)
| p4(X2,X1)
| ~ p2(f3(c5,X0),X1)
| ~ p4(X3,X0) ),
inference(resolution,[],[f8,f7]) ).
fof(f45,plain,
! [X0,X1] :
( ~ p2(f3(c5,X1),X0)
| p4(f3(c5,c7),X0)
| ~ p4(c6,X1) ),
inference(resolution,[],[f20,f4]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ p2(f3(c5,X2),X1)
| p4(f3(c5,X0),X1)
| ~ p4(X0,X2) ),
inference(resolution,[],[f20,f1]) ).
fof(f79,plain,
! [X0] :
( p4(f3(c5,c7),f3(c5,X0))
| ~ p4(c6,X0) ),
inference(resolution,[],[f45,f1]) ).
fof(f82,definition,
( spl0_1
<=> p4(c6,c7) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f91,plain,
! [X0] :
( p4(f3(c5,X0),f3(c5,c7))
| ~ p4(X0,c6) ),
inference(resolution,[],[f48,f4]) ).
fof(f111,plain,
~ p4(c6,c7),
inference(resolution,[],[f79,f2]) ).
fof(f121,plain,
~ p4(c7,c6),
inference(resolution,[],[f91,f2]) ).
fof(f132,plain,
( p4(c6,c7)
| p2(c6,c7) ),
inference(resolution,[],[f121,f5]) ).
fof(f141,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f111,f82]) ).
fof(f142,plain,
p4(c6,c7),
inference(forward_subsumption_resolution,[],[f132,f3]) ).
fof(f148,plain,
spl0_1,
inference(avatar_split_clause,[],[f142,f82]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f141]) ).
cnf(s6,plain,
spl0_1,
inference(sat_conversion,[],[f148]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s4,s6]) ).
fof(f149,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN554-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n019.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 16:28:33 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.18/0.27 % (4138185)Will run a generic schedule for satisfiability detection.
% 0.18/0.27 % (4138190)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2742479741_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.27 % TRYING [1]
% 0.18/0.27 % TRYING [2]
% 0.18/0.27 % TRYING [3]
% 0.18/0.27 % TRYING [4]
% 0.18/0.27 % (4138191)% WARNING: option uhcvi not known.
% 0.18/0.27 % TRYING [5]
% 0.18/0.27 % TRYING [6]
% 0.18/0.27 % (4138191)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=144487387:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.27 % (4138192)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=267105074:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.27 % (4138195)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=711885620:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.27 % (4138193)dis+10_1_sil=32000:sp=arity:random_seed=1871269281:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.27 % (4138194)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=496727423:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.27 % (4138196)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3865286563:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.27 % TRYING [7]
% 0.18/0.27 % (4138193) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4138185-4138193"...
% 0.18/0.27 % (4138193)...printing done.
% 0.18/0.27 % (4138193)Refutation found. Thanks to Tanya!
% 0.18/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.27 % (4138193)------------------------------
% 0.18/0.27 % (4138193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (4138193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (4138193)CaDiCaL version: 2.1.3
% 0.18/0.27 % (4138193)Termination reason: Refutation
% 0.18/0.27 % (4138193)Time elapsed: 0.004 s
% 0.18/0.27 % (4138193)Peak memory usage: 11 MB
% 0.18/0.27 % (4138193)Instructions burned: 5 (million)
% 0.18/0.27 % (4138185)Success in time 0.037 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------