%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN627-1 : 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 : n002.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 02:17:45 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.28s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 20 unt; 3 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 76 ( 41 ~; 32 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-5 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).
fof(f6,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
fof(f7,negated_conjecture,
p15(c18,c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_7) ).
fof(f8,negated_conjecture,
~ p3(c23,c24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_8) ).
fof(f9,negated_conjecture,
p3(c23,f4(f7(c17,c18),c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_9) ).
fof(f10,negated_conjecture,
p16(c17,c20,f9(c19,c18),c21,c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_10) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_18) ).
fof(f20,negated_conjecture,
! [X0] :
( p3(c24,f4(f7(c17,X0),f14(X0)))
| ~ p15(X0,c19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_20) ).
fof(f23,negated_conjecture,
! [X0] :
( p16(c17,c20,f9(c19,X0),f14(X0),c25)
| ~ p15(X0,c19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_23) ).
fof(f27,negated_conjecture,
! [X2,X3,X0,X1] :
( p3(f4(X0,X1),f4(X2,X3))
| ~ p2(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_27) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( p3(X0,X1)
| ~ p16(c17,c20,X2,X1,X3)
| ~ p16(c17,c20,X2,X0,c22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_28) ).
fof(f39,plain,
! [X0] : ~ p3(X0,X0),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f40,plain,
~ p15(c18,c19),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f41,plain,
p3(c23,c24),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f42,plain,
~ p3(c23,f4(f7(c17,c18),c21)),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f47,plain,
! [X2,X0,X1] :
( p3(X2,X1)
| p3(X2,X0)
| ~ p3(X0,X1) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f48,plain,
! [X0] :
( p15(X0,c19)
| ~ p3(c24,f4(f7(c17,X0),f14(X0))) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f51,plain,
! [X0] :
( p16(c17,c20,f9(c19,X0),f14(X0),c25)
| p15(X0,c19) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ p2(X0,X2)
| ~ p3(f4(X0,X1),f4(X2,X3))
| p3(X1,X3) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ p16(c17,c20,X2,X0,c22)
| ~ p16(c17,c20,X2,X1,X3)
| ~ p3(X0,X1) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f75,plain,
! [X0,X1] :
( p3(X0,X1)
| ~ p3(X1,X0) ),
inference(resolution,[],[f47,f39]) ).
fof(f80,plain,
~ p3(f4(f7(c17,c18),c21),c23),
inference(resolution,[],[f75,f42]) ).
fof(f84,plain,
! [X0] :
( p3(f4(f7(c17,c18),c21),X0)
| ~ p3(X0,c23) ),
inference(resolution,[],[f80,f47]) ).
fof(f93,plain,
~ p3(c24,f4(f7(c17,c18),f14(c18))),
inference(resolution,[],[f48,f40]) ).
fof(f94,plain,
~ p3(f4(f7(c17,c18),f14(c18)),c24),
inference(resolution,[],[f93,f75]) ).
fof(f97,plain,
! [X0] :
( p3(f4(f7(c17,c18),f14(c18)),X0)
| ~ p3(X0,c24) ),
inference(resolution,[],[f94,f47]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ p3(f4(X0,X1),f4(X0,X2))
| p3(X1,X2) ),
inference(resolution,[],[f55,f6]) ).
fof(f175,plain,
! [X0] :
( ~ p3(f4(f7(c17,c18),X0),c23)
| p3(c21,X0) ),
inference(resolution,[],[f172,f84]) ).
fof(f203,plain,
( p3(c21,f14(c18))
| ~ p3(c23,c24) ),
inference(resolution,[],[f175,f97]) ).
fof(f209,definition,
( spl0_3
<=> p3(c23,c24) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f211,plain,
( ~ p3(c23,c24)
| spl0_3 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_4
<=> p3(c21,f14(c18)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f216,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f203,f213,f209]) ).
fof(f217,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f211,f41]) ).
fof(f223,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f217]) ).
fof(f307,plain,
! [X0,X1] :
( ~ p16(c17,c20,f9(c19,c18),X0,X1)
| ~ p3(c21,X0) ),
inference(resolution,[],[f56,f10]) ).
fof(f315,plain,
( ~ p3(c21,f14(c18))
| p15(c18,c19) ),
inference(resolution,[],[f307,f51]) ).
fof(f317,definition,
( spl0_9
<=> p15(c18,c19) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f319,plain,
( p15(c18,c19)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f320,plain,
( spl0_9
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f315,f213,f317]) ).
fof(f326,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f319,f40]) ).
fof(f329,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f326]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f216]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f223]) ).
cnf(s8,plain,
( ~ spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f320]) ).
cnf(s10,plain,
~ spl0_9,
inference(sat_conversion,[],[f329]) ).
cnf(s12,plain,
~ spl0_4,
inference(rat,[],[s8,s10]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s2,s12,s3]) ).
fof(f330,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN627-1 : 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 : n002.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 16:40:23 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
% 0.18/0.28 % (502708)Will run a generic schedule for satisfiability detection.
% 0.18/0.28 % (502713)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2361292413_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28 % TRYING [1]
% 0.18/0.28 % TRYING [2]
% 0.18/0.28 % (502714)% WARNING: option uhcvi not known.
% 0.18/0.28 % TRYING [3]
% 0.18/0.28 % (502715)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4160228189:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28 % (502716)dis+10_1_sil=32000:sp=arity:random_seed=1004910145:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28 % (502714)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1951129947:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28 % (502717)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2613529159:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28 % (502719)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1132544358:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28 % (502718)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1660564639:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28 % TRYING [4]
% 0.18/0.28 % (502719) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-502708-502719"...
% 0.18/0.28 % (502719)...printing done.
% 0.18/0.28 % (502719)Refutation found. Thanks to Tanya!
% 0.18/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.28 % (502719)------------------------------
% 0.18/0.28 % (502719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.28 % (502719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.28 % (502719)CaDiCaL version: 2.1.3
% 0.18/0.28 % (502719)Termination reason: Refutation
% 0.18/0.28 % (502719)Time elapsed: 0.008 s
% 0.18/0.28 % (502719)Peak memory usage: 12 MB
% 0.18/0.28 % (502719)Instructions burned: 10 (million)
% 0.18/0.28 % (502708)Success in time 0.045 s
% 0.18/0.28 % Vampire exiting
%------------------------------------------------------------------------------