%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN657-1 : 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 : n005.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 02:17:49 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 9 unt; 2 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 23 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p6(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_3) ).
fof(f11,negated_conjecture,
~ p6(c28,f10(c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_11) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] : p6(f21(f8(X0,f9(X1,X2))),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_15) ).
fof(f25,negated_conjecture,
! [X2,X0,X1] :
( ~ p6(X2,X1)
| ~ p6(X2,X0)
| p6(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_25) ).
fof(f44,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_44) ).
fof(f45,negated_conjecture,
! [X0] :
( p24(f19(f20(c31,c34)),f19(f20(c31,X0)))
| ~ p25(X0,f18(f8(c27,f9(c28,c29)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_45) ).
fof(f48,negated_conjecture,
! [X2,X0,X1] :
( p4(f5(X0,c36,X1),f5(X0,c36,X2))
| p25(f22(X0,X1,X2),f18(X0))
| p6(f21(X0),f10(c33)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_48) ).
fof(f49,negated_conjecture,
! [X2,X0,X1] :
( ~ p24(f19(f20(X1,X2)),f19(f20(X1,f22(X0,X1,X2))))
| p4(f5(X0,c36,X1),f5(X0,c36,X2))
| p6(f21(X0),f10(c33)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_49) ).
fof(f56,plain,
! [X0,X1] :
( ~ p6(X0,X1)
| p6(X1,X0) ),
inference(resolution,[],[f25,f3]) ).
fof(f60,plain,
! [X2,X3,X0,X1] :
( ~ p6(f21(f8(X0,f9(X1,X2))),X3)
| p6(X3,X1) ),
inference(resolution,[],[f25,f15]) ).
fof(f154,plain,
( p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
| p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
inference(resolution,[],[f48,f44]) ).
fof(f158,definition,
( spl0_4
<=> p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f159,plain,
( ~ p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| spl0_4 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f160,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f162,definition,
( spl0_5
<=> p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29)))) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f164,plain,
( p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f154,f162,f158]) ).
fof(f168,plain,
! [X0] :
( ~ p25(f22(X0,c31,c34),f18(f8(c27,f9(c28,c29))))
| p6(f21(X0),f10(c33))
| p4(f5(X0,c36,c31),f5(X0,c36,c34)) ),
inference(resolution,[],[f49,f45]) ).
fof(f199,plain,
( p6(f10(c33),c28)
| ~ spl0_4 ),
inference(resolution,[],[f60,f160]) ).
fof(f209,plain,
( p6(c28,f10(c33))
| ~ spl0_4 ),
inference(resolution,[],[f199,f56]) ).
fof(f211,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f209,f11]) ).
fof(f212,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f443,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
| ~ spl0_5 ),
inference(resolution,[],[f168,f164]) ).
fof(f445,plain,
( p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f443,f159]) ).
fof(f446,plain,
( $false
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f445,f44]) ).
fof(f447,plain,
( spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f446]) ).
cnf(s3,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f165]) ).
cnf(s4,plain,
~ spl0_4,
inference(sat_conversion,[],[f212]) ).
cnf(s16,plain,
( spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f447]) ).
cnf(s17,plain,
~ spl0_5,
inference(rat,[],[s16,s4]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s3,s17,s4]) ).
fof(f448,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN657-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:40:17 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
% 0.08/0.26 % (919658)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (919666)dis+10_1_sil=32000:sp=arity:random_seed=4099636997:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (919664)% WARNING: option uhcvi not known.
% 0.08/0.26 % (919666) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-919658-919666"...
% 0.08/0.26 % (919666)...printing done.
% 0.08/0.26 % (919663)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3321470414_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % (919665)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1559583173:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (919664)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2577290880:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (919666)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 % (919666)------------------------------
% 0.08/0.26 % (919666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (919666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (919666)CaDiCaL version: 2.1.3
% 0.08/0.26 % (919666)Termination reason: Refutation
% 0.08/0.26 % (919666)Time elapsed: 0.005 s
% 0.08/0.26 % (919666)Peak memory usage: 12 MB
% 0.08/0.26 % (919666)Instructions burned: 13 (million)
% 0.08/0.26 % (919658)Success in time 0.03 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------