%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC013-1 : 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 : n008.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 01:04:17 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 73 ( 18 unt; 7 def)
% Number of atoms : 209 ( 30 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 258 ( 122 ~; 129 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f76,axiom,
! [X0] :
( ~ ssList(X0)
| ssItem(hd(X0))
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause76) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
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(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f210,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssItem(X1)
| cons(X1,nil) != X0
| hd(sk4) != X1
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| sk1 != X0
| ~ ssItem(X1)
| cons(X1,nil) != X0
| hd(sk2) != X1
| ~ neq(nil,sk2)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f218,plain,
! [X0,X1] :
( ~ ssList(X0)
| sk3 != X0
| ~ ssItem(X1)
| cons(X1,nil) != X0
| hd(sk4) != X1
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f211,f205,f204,f204]) ).
fof(f225,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f247,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| sk3 = cons(X1,nil)
| ~ ssItem(X1)
| hd(sk4) != X1
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f210]) ).
fof(f248,plain,
( ~ ssList(cons(hd(sk4),nil))
| sk3 = cons(hd(sk4),nil)
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f247]) ).
fof(f249,plain,
! [X1] :
( ~ ssList(sk3)
| ~ ssItem(X1)
| sk3 != cons(X1,nil)
| hd(sk4) != X1
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f218]) ).
fof(f250,plain,
( ~ ssList(sk3)
| ~ ssItem(hd(sk4))
| sk3 != cons(hd(sk4),nil)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f249]) ).
fof(f285,plain,
! [X0] :
( ~ ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f289,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f358,plain,
( ~ ssList(cons(hd(sk4),nil))
| sk3 = cons(hd(sk4),nil)
| ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f248]) ).
fof(f359,plain,
( ~ ssList(sk3)
| ssItem(hd(sk4))
| sk3 != cons(hd(sk4),nil)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f250]) ).
fof(f360,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f365,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f368,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f369,plain,
( neq(sk4,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f372,definition,
( spl0_2
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f374,plain,
( ~ neq(nil,sk4)
| spl0_2 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f376,definition,
( spl0_3
<=> sk3 = cons(hd(sk4),nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f380,definition,
( spl0_4
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f382,plain,
( ssItem(hd(sk4))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f384,definition,
( spl0_5
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f387,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f359,f384,f380,f376,f372,f368]) ).
fof(f389,definition,
( spl0_6
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f391,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_6 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f392,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f358,f389,f376,f380,f372,f368]) ).
fof(f395,plain,
spl0_1,
inference(avatar_split_clause,[],[f360,f368]) ).
fof(f396,plain,
spl0_5,
inference(avatar_split_clause,[],[f202,f384]) ).
fof(f402,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f403,plain,
( ssList(nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f438,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f402]) ).
fof(f546,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| spl0_2 ),
inference(resolution,[],[f102,f374]) ).
fof(f549,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f546,f403]) ).
fof(f550,plain,
( nil = sk4
| spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f549,f203]) ).
fof(f553,plain,
( ~ neq(nil,nil)
| spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f374,f550]) ).
fof(f554,plain,
( neq(nil,nil)
| ~ spl0_1
| spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f369,f550]) ).
fof(f560,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f554,f553]) ).
fof(f561,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f566,plain,
( ~ ssList(nil)
| ssItem(hd(sk4))
| spl0_6 ),
inference(resolution,[],[f289,f391]) ).
fof(f569,plain,
( ssItem(hd(sk4))
| spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f566,f403]) ).
fof(f570,plain,
( spl0_4
| spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f569,f402,f389,f380]) ).
fof(f571,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ spl0_4 ),
inference(resolution,[],[f382,f285]) ).
fof(f572,plain,
( nil = sk4
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f571,f203]) ).
fof(f574,plain,
( neq(nil,nil)
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f369,f572]) ).
fof(f615,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f574,f365]) ).
fof(f617,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f615,f403]) ).
fof(f618,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f617]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f387]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f392]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f395]) ).
cnf(s6,plain,
spl0_5,
inference(sat_conversion,[],[f396]) ).
cnf(s17,plain,
spl0_8,
inference(sat_conversion,[],[f438]) ).
cnf(s19,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_8 ),
inference(sat_conversion,[],[f561]) ).
cnf(s20,plain,
( spl0_4
| spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f570]) ).
cnf(s21,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f618]) ).
cnf(s26,plain,
~ spl0_4,
inference(rat,[],[s21,s17,s5]) ).
cnf(s27,plain,
spl0_2,
inference(rat,[],[s19,s17,s5]) ).
cnf(s28,plain,
spl0_6,
inference(rat,[],[s20,s17,s26]) ).
cnf(s29,plain,
spl0_3,
inference(rat,[],[s2,s28,s26,s27,s5]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s1,s6,s26,s29,s27,s5]) ).
fof(f619,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC013-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:26:39 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.19/0.47 % (2077060)Will run a generic schedule for satisfiability detection.
% 0.19/0.47 % (2077067)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4066813757:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.47 % (2077066)% WARNING: option uhcvi not known.
% 0.19/0.47 % (2077065)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3778275807_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.47 % (2077069)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3902960814:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.47 % (2077066)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=666745619:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.47 % (2077068)dis+10_1_sil=32000:sp=arity:random_seed=39839285:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.47 % (2077071)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1652164147:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.47 % (2077070)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3775937973:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.47 % (2077066) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2077060-2077066"...
% 0.19/0.47 % (2077068) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2077060-2077068"...
% 0.19/0.47 % (2077066)...printing done.
% 0.19/0.47 % TRYING [1]
% 0.19/0.47 % (2077068)...printing done.
% 0.19/0.47 % (2077069) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2077060-2077069"...
% 0.19/0.47 % (2077066)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (2077066)------------------------------
% 0.19/0.48 % (2077066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.48 % (2077066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.48 % (2077066)CaDiCaL version: 2.1.3
% 0.19/0.48 % (2077066)Termination reason: Refutation
% 0.19/0.48 % (2077066)Time elapsed: 0.011 s
% 0.19/0.48 % (2077066)Peak memory usage: 13 MB
% 0.19/0.48 % (2077066)Instructions burned: 14 (million)
% 0.19/0.48 % (2077060)Success in time 0.052 s
% 0.19/0.48 % Vampire exiting
%------------------------------------------------------------------------------