%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC323-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 01:05:33 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.30s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of formulae : 84 ( 12 unt; 10 def)
% Number of atoms : 211 ( 47 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 239 ( 112 ~; 117 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f156,axiom,
! [X0,X1] :
( nil != X0
| nil != X1
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause145) ).
fof(f157,plain,
! [X0,X1] :
( nil != X0
| nil != X1
| ~ ssList(X1)
| ~ ssList(X0)
| nil = app(X0,X1) ),
inference(reorient_equations,[],[f156]) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk2
| app(X1,X0) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f212]) ).
fof(f216,plain,
! [X0,X1] :
( app(X1,X0) != sk3
| ~ ssList(X1)
| app(X0,X1) != sk4
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f229,plain,
! [X1] :
( nil != X1
| ~ ssList(X1)
| ~ ssList(nil)
| nil = app(nil,X1) ),
inference(equality_resolution,[],[f157]) ).
fof(f230,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f229]) ).
fof(f288,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f296,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f367,plain,
( ~ ssItem(sk5)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f368,plain,
( ssList(sk6)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f209]) ).
fof(f369,plain,
( sk4 = app(cons(sk5,nil),sk6)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f211]) ).
fof(f370,plain,
( sk3 = app(sk6,cons(sk5,nil))
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f372,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f230]) ).
fof(f378,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f380,plain,
( neq(sk4,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f382,definition,
( spl0_2
<=> sk3 = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f384,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f385,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f370,f382,f378]) ).
fof(f387,definition,
( spl0_3
<=> sk4 = app(cons(sk5,nil),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f389,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f390,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f369,f387,f378]) ).
fof(f392,definition,
( spl0_4
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f395,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f368,f392,f378]) ).
fof(f397,definition,
( spl0_5
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f399,plain,
( ~ ssItem(sk5)
| spl0_5 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f400,plain,
( spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f367,f397,f378]) ).
fof(f402,definition,
( spl0_6
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f406,definition,
( spl0_7
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f409,plain,
( ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f207,f406,f402]) ).
fof(f411,definition,
( spl0_8
<=> nil = app(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f413,plain,
( nil = app(nil,nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f415,definition,
( spl0_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f416,plain,
( ssList(nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f418,plain,
( spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f372,f415,f411]) ).
fof(f451,plain,
spl0_9,
inference(avatar_split_clause,[],[f8,f415]) ).
fof(f452,plain,
( sk3 != sk3
| ~ ssList(sk6)
| sk4 != app(cons(sk5,nil),sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_2 ),
inference(superposition,[],[f216,f384]) ).
fof(f454,plain,
( ~ ssList(sk6)
| sk4 != app(cons(sk5,nil),sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f452]) ).
fof(f461,definition,
( spl0_17
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f463,plain,
( ~ ssList(cons(sk5,nil))
| spl0_17 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f475,plain,
( nil != sk3
| ~ ssList(nil)
| nil != sk4
| ~ ssList(nil)
| ~ spl0_8 ),
inference(superposition,[],[f216,f413]) ).
fof(f476,plain,
( nil != sk3
| ~ ssList(nil)
| nil != sk4
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f475]) ).
fof(f626,plain,
( ~ ssList(nil)
| ssItem(sk5)
| spl0_17 ),
inference(resolution,[],[f288,f463]) ).
fof(f629,plain,
( ssItem(sk5)
| ~ spl0_9
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f626,f416]) ).
fof(f630,plain,
( $false
| spl0_5
| ~ spl0_9
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f629,f399]) ).
fof(f631,plain,
( spl0_5
| ~ spl0_9
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f632,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f454,f389]) ).
fof(f633,plain,
( ~ spl0_17
| ~ spl0_4
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f632,f387,f382,f392,f461]) ).
fof(f750,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| ~ spl0_1 ),
inference(resolution,[],[f296,f380]) ).
fof(f753,plain,
( ~ ssList(nil)
| nil = sk4
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f750,f203]) ).
fof(f754,plain,
( nil = sk4
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f753,f416]) ).
fof(f757,plain,
( nil != sk3
| nil != sk4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f476,f416]) ).
fof(f758,plain,
( spl0_6
| ~ spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f754,f415,f378,f402]) ).
fof(f759,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f757,f415,f411,f406,f402]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f385]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f390]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f395]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f400]) ).
cnf(s5,plain,
( ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f409]) ).
cnf(s6,plain,
( spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f418]) ).
cnf(s15,plain,
spl0_9,
inference(sat_conversion,[],[f451]) ).
cnf(s23,plain,
( spl0_5
| ~ spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f631]) ).
cnf(s24,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_17 ),
inference(sat_conversion,[],[f633]) ).
cnf(s28,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f758]) ).
cnf(s29,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f759]) ).
cnf(s35,plain,
spl0_8,
inference(rat,[],[s6,s15]) ).
cnf(s36,plain,
spl0_1,
inference(rat,[],[s24,s23,s1,s2,s3,s4,s15]) ).
cnf(s37,plain,
spl0_6,
inference(rat,[],[s28,s15,s36]) ).
cnf(s38,plain,
~ spl0_7,
inference(rat,[],[s29,s15,s35,s37]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s5,s38,s37]) ).
fof(f760,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC323-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 % Computer : n007.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 09:03:40 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 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
% 0.19/0.30 % (2256620)Will run a generic schedule for satisfiability detection.
% 0.19/0.30 % (2256629)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3267674666:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.30 % (2256626)% WARNING: option uhcvi not known.
% 0.19/0.30 % (2256625)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1636581423_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.30 % (2256626)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3810093987:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.30 % (2256627)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3547977142:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.30 % (2256628)dis+10_1_sil=32000:sp=arity:random_seed=1344473214:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.30 % (2256630)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=678912214:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.30 % (2256631)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4219838605:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.30 % TRYING [1]
% 0.19/0.30 % (2256626) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2256620-2256626"...
% 0.19/0.30 % (2256628) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2256620-2256628"...
% 0.19/0.30 % TRYING [2]
% 0.19/0.30 % (2256626)...printing done.
% 0.19/0.30 % (2256628)...printing done.
% 0.19/0.30 % (2256626)Refutation found. Thanks to Tanya!
% 0.19/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.30 % (2256626)------------------------------
% 0.19/0.30 % (2256626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30 % (2256626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30 % (2256626)CaDiCaL version: 2.1.3
% 0.19/0.30 % (2256626)Termination reason: Refutation
% 0.19/0.30 % (2256626)Time elapsed: 0.013 s
% 0.19/0.30 % (2256626)Peak memory usage: 13 MB
% 0.19/0.30 % (2256626)Instructions burned: 18 (million)
% 0.19/0.30 % (2256620)Success in time 0.059 s
% 0.19/0.30 % Vampire exiting
%------------------------------------------------------------------------------