%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC317-1 : 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 : n011.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 01:05:31 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 57 ( 12 unt; 6 def)
% Number of atoms : 143 ( 28 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 160 ( 74 ~; 80 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f216,negated_conjecture,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk1
| app(X1,cons(X0,nil)) != sk2
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f217,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk1
| sk2 != app(X1,cons(X0,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f216]) ).
fof(f218,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f219,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f220,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f221,plain,
( sk3 = app(cons(sk5,nil),sk6)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f220]) ).
fof(f222,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f223,plain,
( sk4 = app(sk6,cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f222]) ).
fof(f226,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f233,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3
| sk4 != app(X1,cons(X0,nil))
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f217,f205,f204]) ).
fof(f412,plain,
( ~ neq(sk4,nil)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f226]) ).
fof(f419,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ssList(X1)
| app(cons(X0,nil),X1) != sk3
| sk4 != app(X1,cons(X0,nil))
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f233]) ).
fof(f420,plain,
( ssItem(sk5)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f218]) ).
fof(f421,plain,
( ~ ssList(sk6)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f219]) ).
fof(f422,plain,
( sk3 = app(cons(sk5,nil),sk6)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f221]) ).
fof(f423,plain,
( sk4 = app(sk6,cons(sk5,nil))
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f223]) ).
fof(f424,plain,
~ neq(sk4,nil),
inference(duplicate_literal_removal,[],[f412]) ).
fof(f432,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f436,definition,
( spl0_2
<=> sk4 = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f438,plain,
( sk4 = app(sk6,cons(sk5,nil))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f439,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f423,f436,f432]) ).
fof(f441,definition,
( spl0_3
<=> sk3 = app(cons(sk5,nil),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f443,plain,
( sk3 = app(cons(sk5,nil),sk6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f444,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f422,f441,f432]) ).
fof(f446,definition,
( spl0_4
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f448,plain,
( ~ ssList(sk6)
| spl0_4 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f449,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f421,f446,f432]) ).
fof(f451,definition,
( spl0_5
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f453,plain,
( ssItem(sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f454,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f420,f451,f432]) ).
fof(f456,definition,
( spl0_6
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sk4 != app(X1,cons(X0,nil))
| app(cons(X0,nil),X1) != sk3
| ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f457,plain,
( ! [X0,X1] :
( sk4 != app(X1,cons(X0,nil))
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk3
| ssList(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f458,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f419,f456,f432]) ).
fof(f464,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f424,f432]) ).
fof(f507,plain,
( sk4 != sk4
| ~ ssItem(sk5)
| sk3 != app(cons(sk5,nil),sk6)
| ssList(sk6)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f457,f438]) ).
fof(f508,plain,
( ~ ssItem(sk5)
| sk3 != app(cons(sk5,nil),sk6)
| ssList(sk6)
| ~ spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f507]) ).
fof(f509,plain,
( sk3 != app(cons(sk5,nil),sk6)
| ssList(sk6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f508,f453]) ).
fof(f510,plain,
( ssList(sk6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f509,f443]) ).
fof(f511,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f510,f448]) ).
fof(f512,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f511]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f439]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f444]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f449]) ).
cnf(s4,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f454]) ).
cnf(s5,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f458]) ).
cnf(s11,plain,
~ spl0_1,
inference(sat_conversion,[],[f464]) ).
cnf(s22,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f512]) ).
cnf(s27,plain,
spl0_6,
inference(rat,[],[s5,s11]) ).
cnf(s28,plain,
spl0_5,
inference(rat,[],[s4,s11]) ).
cnf(s29,plain,
~ spl0_4,
inference(rat,[],[s3,s11]) ).
cnf(s30,plain,
spl0_3,
inference(rat,[],[s2,s11]) ).
cnf(s31,plain,
~ spl0_2,
inference(rat,[],[s22,s27,s28,s29,s30]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s1,s31,s11]) ).
fof(f513,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC317-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n011.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 09:02:00 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.18/0.27 % (3261400)Will run a generic schedule for satisfiability detection.
% 0.18/0.27 % (3261405)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3891607624_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.27 % (3261406)% WARNING: option uhcvi not known.
% 0.18/0.27 % TRYING [1]
% 0.18/0.27 % TRYING [2]
% 0.18/0.27 % (3261408)dis+10_1_sil=32000:sp=arity:random_seed=1308594653:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.27 % (3261406)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3596050290:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.27 % (3261407)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=417787596:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.27 % (3261409)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=50410728:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.27 % (3261411)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2324726643:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.27 % (3261410)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2046083716:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.27 % TRYING [3]
% 0.18/0.27 % (3261408) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3261400-3261408"...
% 0.18/0.27 % (3261406) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3261400-3261406"...
% 0.18/0.27 % (3261408)...printing done.
% 0.18/0.27 % (3261406)...printing done.
% 0.18/0.27 % (3261410) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3261400-3261410"...
% 0.18/0.27 % (3261407) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3261400-3261407"...
% 0.18/0.27 % (3261411) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3261400-3261411"...
% 0.18/0.27 % (3261406)Refutation found. Thanks to Tanya!
% 0.18/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.27 % (3261406)------------------------------
% 0.18/0.27 % (3261406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (3261406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (3261406)CaDiCaL version: 2.1.3
% 0.18/0.27 % (3261406)Termination reason: Refutation
% 0.18/0.27 % (3261406)Time elapsed: 0.004 s
% 0.18/0.27 % (3261406)Peak memory usage: 12 MB
% 0.18/0.27 % (3261406)Instructions burned: 5 (million)
% 0.18/0.27 % (3261400)Success in time 0.041 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------