%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN583-1 : 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 : n018.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 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 16 unt; 4 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 31 ~; 28 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
fof(f3,negated_conjecture,
! [X0] : p5(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_3) ).
fof(f4,negated_conjecture,
p2(c13,c18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f7,negated_conjecture,
p11(f4(f6(c15,c13)),c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).
fof(f9,negated_conjecture,
~ p11(f4(f6(c15,c18)),c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_9) ).
fof(f14,negated_conjecture,
! [X0,X1] :
( p2(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
fof(f21,negated_conjecture,
! [X2,X3,X0,X1] :
( p11(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p11(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_21) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f6(X0,X1),f6(X2,X3))
| ~ p2(X1,X3)
| ~ p5(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_23) ).
fof(f26,plain,
~ p11(f4(f6(c15,c13)),c16),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f28,plain,
p11(f4(f6(c15,c18)),c16),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( p11(X2,X3)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p11(X0,X1) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f44,plain,
! [X0,X1] :
( ~ p11(X0,X1)
| ~ p2(c16,X1)
| ~ p2(f4(f6(c15,c13)),X0) ),
inference(resolution,[],[f33,f26]) ).
fof(f49,plain,
( ~ p2(c16,c16)
| ~ p2(f4(f6(c15,c13)),f4(f6(c15,c18))) ),
inference(resolution,[],[f44,f28]) ).
fof(f52,definition,
( spl0_1
<=> p2(f4(f6(c15,c13)),f4(f6(c15,c18))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f54,plain,
( ~ p2(f4(f6(c15,c13)),f4(f6(c15,c18)))
| spl0_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f56,definition,
( spl0_2
<=> p2(c16,c16) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f58,plain,
( ~ p2(c16,c16)
| spl0_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f49,f56,f52]) ).
fof(f60,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f58,f2]) ).
fof(f63,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f69,plain,
( ~ p2(f6(c15,c13),f6(c15,c18))
| spl0_1 ),
inference(resolution,[],[f54,f14]) ).
fof(f75,plain,
( ~ p2(c13,c18)
| ~ p5(c15,c15)
| spl0_1 ),
inference(resolution,[],[f23,f69]) ).
fof(f79,definition,
( spl0_3
<=> p5(c15,c15) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f81,plain,
( ~ p5(c15,c15)
| spl0_3 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f88,definition,
( spl0_5
<=> p2(c13,c18) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f90,plain,
( ~ p2(c13,c18)
| spl0_5 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f75,f52,f88,f79]) ).
fof(f92,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f90,f4]) ).
fof(f94,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f92]) ).
fof(f95,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f81,f3]) ).
fof(f98,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f95]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f59]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f63]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f91]) ).
cnf(s5,plain,
spl0_5,
inference(sat_conversion,[],[f94]) ).
cnf(s6,plain,
spl0_3,
inference(sat_conversion,[],[f98]) ).
cnf(s7,plain,
spl0_1,
inference(rat,[],[s4,s5,s6]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s2,s7]) ).
fof(f99,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN583-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n018.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 16:32:10 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.27 % (3525000)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (3525005)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=317673081_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % TRYING [1]
% 0.20/0.27 % TRYING [2]
% 0.20/0.27 % TRYING [3]
% 0.20/0.27 % TRYING [4]
% 0.20/0.27 % (3525006)% WARNING: option uhcvi not known.
% 0.20/0.27 % TRYING [5]
% 0.20/0.27 % (3525006)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3742980126:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (3525008)dis+10_1_sil=32000:sp=arity:random_seed=834276547:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (3525007)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=412317618:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (3525009)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3541879196:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (3525010)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=848215003:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % (3525011)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2120186170:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % (3525011) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3525000-3525011"...
% 0.20/0.27 % (3525011)...printing done.
% 0.20/0.27 % (3525011)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (3525011)------------------------------
% 0.20/0.27 % (3525011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3525011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3525011)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3525011)Termination reason: Refutation
% 0.20/0.27 % (3525011)Time elapsed: 0.003 s
% 0.20/0.27 % (3525011)Peak memory usage: 12 MB
% 0.20/0.27 % (3525011)Instructions burned: 2 (million)
% 0.20/0.27 % (3525000)Success in time 0.041 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------