%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN658-1 : 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 : n015.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 0.40s 0.29s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 15 unt; 1 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 30 ~; 29 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
fof(f11,negated_conjecture,
~ p6(c28,f10(c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_11) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] : p6(f21(f8(X0,f9(X1,X2))),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_15) ).
fof(f25,negated_conjecture,
! [X2,X0,X1] :
( p6(X0,X1)
| ~ p6(X2,X0)
| ~ p6(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_25) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( p4(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_26) ).
fof(f44,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_44) ).
fof(f45,negated_conjecture,
! [X0] :
( p24(f19(f20(c34,c31)),f19(f20(c34,X0)))
| ~ p25(X0,f18(f8(c27,f9(c28,c29)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_45) ).
fof(f48,negated_conjecture,
! [X2,X0,X1] :
( p6(f21(X0),f10(c33))
| p25(f22(X0,X1,X2),f18(X0))
| p4(f5(X0,c36,X1),f5(X0,c36,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_48) ).
fof(f49,negated_conjecture,
! [X2,X0,X1] :
( p6(f21(X0),f10(c33))
| p4(f5(X0,c36,X1),f5(X0,c36,X2))
| ~ p24(f19(f20(X1,X2)),f19(f20(X1,f22(X0,X1,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_49) ).
fof(f52,plain,
! [X0] : ~ p4(X0,X0),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f55,plain,
p6(c28,f10(c33)),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f57,plain,
! [X2,X0,X1] : ~ p6(f21(f8(X0,f9(X1,X2))),X1),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ p6(X0,X1)
| p6(X2,X0)
| p6(X2,X1) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ p4(X0,X1)
| p4(X2,X0)
| p4(X2,X1) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f82,plain,
p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ p4(f5(X0,c36,X1),f5(X0,c36,X2))
| p25(f22(X0,X1,X2),f18(X0))
| ~ p6(f21(X0),f10(c33)) ),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ p4(f5(X0,c36,X1),f5(X0,c36,X2))
| ~ p6(f21(X0),f10(c33))
| ~ p24(f19(f20(X1,X2)),f19(f20(X1,f22(X0,X1,X2)))) ),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f92,plain,
! [X0] :
( p6(X0,f10(c33))
| p6(X0,c28) ),
inference(resolution,[],[f65,f55]) ).
fof(f132,plain,
! [X0] :
( p4(X0,f5(f8(c27,f9(c28,c29)),c36,c34))
| p4(X0,f5(f8(c27,f9(c28,c29)),c36,c31)) ),
inference(resolution,[],[f82,f66]) ).
fof(f155,definition,
( spl0_4
<=> p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f156,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f157,plain,
( ~ p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| spl0_4 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f171,plain,
( p6(f21(f8(c27,f9(c28,c29))),c28)
| spl0_4 ),
inference(resolution,[],[f157,f92]) ).
fof(f172,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f171,f57]) ).
fof(f173,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f172]) ).
fof(f242,plain,
p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c31)),
inference(resolution,[],[f132,f52]) ).
fof(f658,plain,
( ~ p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| ~ p24(f19(f20(c34,c31)),f19(f20(c34,f22(f8(c27,f9(c28,c29)),c34,c31)))) ),
inference(resolution,[],[f242,f86]) ).
fof(f659,plain,
( p25(f22(f8(c27,f9(c28,c29)),c34,c31),f18(f8(c27,f9(c28,c29))))
| ~ p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
inference(resolution,[],[f242,f85]) ).
fof(f662,plain,
( p25(f22(f8(c27,f9(c28,c29)),c34,c31),f18(f8(c27,f9(c28,c29))))
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f659,f156]) ).
fof(f663,plain,
( ~ p24(f19(f20(c34,c31)),f19(f20(c34,f22(f8(c27,f9(c28,c29)),c34,c31))))
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f658,f156]) ).
fof(f2051,plain,
( ~ p25(f22(f8(c27,f9(c28,c29)),c34,c31),f18(f8(c27,f9(c28,c29))))
| ~ spl0_4 ),
inference(resolution,[],[f663,f45]) ).
fof(f2103,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f2051,f662]) ).
fof(f2104,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f2103]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f173]) ).
cnf(s113,plain,
~ spl0_4,
inference(sat_conversion,[],[f2104]) ).
cnf(s119,plain,
$false,
inference(rat,[],[s5,s113]) ).
fof(f2105,plain,
$false,
inference(avatar_sat_refutation,[],[s119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN658-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n015.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 16:43:47 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.40/0.29 % (2764693)Will run a generic schedule for satisfiability detection.
% 0.40/0.29 % (2764698)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1536524939_2999 on theBenchmark for (2999ds/0Mi)
% 0.40/0.29 % (2764701)dis+10_1_sil=32000:sp=arity:random_seed=687834411:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.40/0.29 % (2764700)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=778628075:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.40/0.29 % (2764702)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2437285221:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.40/0.29 % (2764703)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2435762405:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.40/0.29 % (2764704)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2613179751:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.40/0.29 % (2764699)% WARNING: option uhcvi not known.
% 0.40/0.29 % TRYING [1]
% 0.40/0.29 % (2764699)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1914392537:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.40/0.29 % TRYING [2]
% 0.40/0.29 % TRYING [3]
% 0.40/0.29 % (2764699) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2764693-2764699"...
% 0.40/0.29 % (2764699)...printing done.
% 0.40/0.29 % (2764699)Refutation found. Thanks to Tanya!
% 0.40/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.40/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.40/0.29 % (2764699)------------------------------
% 0.40/0.29 % (2764699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.29 % (2764699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.29 % (2764699)CaDiCaL version: 2.1.3
% 0.40/0.29 % (2764699)Termination reason: Refutation
% 0.40/0.29 % (2764699)Time elapsed: 0.029 s
% 0.40/0.29 % (2764699)Peak memory usage: 13 MB
% 0.40/0.29 % (2764699)Instructions burned: 81 (million)
% 0.40/0.29 % (2764693)Success in time 0.071 s
% 0.40/0.29 % Vampire exiting
%------------------------------------------------------------------------------