%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC387-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 01:05:49 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 57 ( 13 unt; 7 def)
% Number of atoms : 121 ( 23 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 124 ( 60 ~; 57 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) != sk1
| ~ memberP(sk2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
( memberP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f215,plain,
! [X0] :
( cons(X0,nil) != sk3
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(definition_unfolding,[],[f206,f205,f204]) ).
fof(f216,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f208,f204,f205]) ).
fof(f248,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f250,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f252,definition,
( spl0_2
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f254,plain,
( memberP(sk4,sk5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f255,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f212,f252,f248]) ).
fof(f257,definition,
( spl0_3
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f259,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f211,f257,f248]) ).
fof(f262,definition,
( spl0_4
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f265,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f209,f262,f248]) ).
fof(f267,definition,
( spl0_5
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f271,definition,
( spl0_6
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f273,plain,
( nil != sk4
| spl0_6 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f216,f271,f267]) ).
fof(f275,plain,
( ~ spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f207,f267,f271]) ).
fof(f281,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f282,plain,
( ssList(nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f317,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f281]) ).
fof(f506,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(resolution,[],[f102,f250]) ).
fof(f509,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f506,f203]) ).
fof(f510,plain,
( nil = sk4
| spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f509,f282]) ).
fof(f511,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f510,f273]) ).
fof(f512,plain,
( spl0_1
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f513,plain,
( sk3 != sk3
| ~ ssItem(sk5)
| ~ memberP(sk4,sk5)
| ~ spl0_3 ),
inference(superposition,[],[f215,f259]) ).
fof(f525,plain,
( ~ ssItem(sk5)
| ~ memberP(sk4,sk5)
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f513]) ).
fof(f533,plain,
( ~ ssItem(sk5)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f525,f254]) ).
fof(f534,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f533,f257,f252,f262]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f255]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f260]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f265]) ).
cnf(s4,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f274]) ).
cnf(s5,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f275]) ).
cnf(s15,plain,
spl0_8,
inference(sat_conversion,[],[f317]) ).
cnf(s16,plain,
( spl0_1
| spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f512]) ).
cnf(s20,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f534]) ).
cnf(s25,plain,
~ spl0_6,
inference(rat,[],[s4,s5]) ).
cnf(s26,plain,
spl0_1,
inference(rat,[],[s16,s15,s25]) ).
cnf(s27,plain,
spl0_4,
inference(rat,[],[s3,s26]) ).
cnf(s28,plain,
spl0_3,
inference(rat,[],[s2,s26]) ).
cnf(s29,plain,
spl0_2,
inference(rat,[],[s1,s26]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s20,s27,s28,s29]) ).
fof(f535,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC387-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n026.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 09:28:27 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
% 0.20/0.28 % (3719337)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (3719344)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1885298283:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (3719343)% WARNING: option uhcvi not known.
% 0.20/0.28 % (3719345)dis+10_1_sil=32000:sp=arity:random_seed=3105519563:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (3719342)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2745201543_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % (3719343)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2311979498:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (3719346)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2748316405:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (3719347)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3626698145:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (3719348)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1719927296:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % (3719345) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3719337-3719345"...
% 0.20/0.28 % (3719345)...printing done.
% 0.20/0.28 % (3719345)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (3719345)------------------------------
% 0.20/0.28 % (3719345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (3719345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (3719345)CaDiCaL version: 2.1.3
% 0.20/0.28 % (3719345)Termination reason: Refutation
% 0.20/0.28 % (3719345)Time elapsed: 0.009 s
% 0.20/0.28 % (3719345)Peak memory usage: 12 MB
% 0.20/0.28 % (3719345)Instructions burned: 14 (million)
% 0.20/0.28 % (3719337)Success in time 0.049 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------