%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC256-1 : 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 : n019.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 01:05:17 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 48 ( 16 unt; 4 def)
% Number of atoms : 92 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 89 ( 45 ~; 40 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
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(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
~ singletonP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f210]) ).
fof(f218,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f219,plain,
~ singletonP(sk3),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f226,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f227,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f119]) ).
fof(f312,plain,
! [X1] :
( neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(consistent_polarity_flipping,[],[f226]) ).
fof(f313,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f227]) ).
fof(f366,plain,
~ neq(sk4,nil),
inference(consistent_polarity_flipping,[],[f218]) ).
fof(f367,plain,
( ~ ssItem(sk5)
| nil = sk4 ),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f375,plain,
! [X1] :
( neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f312]) ).
fof(f387,definition,
( spl0_3
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f389,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f392,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f394,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f396,plain,
( spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f211,f387,f392]) ).
fof(f398,definition,
( spl0_5
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f402,plain,
( spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f367,f398,f392]) ).
fof(f408,definition,
( spl0_7
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f409,plain,
( ssList(nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f444,plain,
spl0_7,
inference(avatar_split_clause,[],[f8,f408]) ).
fof(f674,plain,
( ~ neq(nil,nil)
| ~ spl0_4 ),
inference(superposition,[],[f366,f394]) ).
fof(f808,plain,
( singletonP(sk3)
| ~ ssList(sk3)
| ssItem(sk5)
| ~ spl0_3 ),
inference(superposition,[],[f313,f389]) ).
fof(f810,plain,
( ~ ssList(sk3)
| ssItem(sk5)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f808,f219]) ).
fof(f811,plain,
( ssItem(sk5)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f810,f202]) ).
fof(f853,plain,
( spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f811,f387,f398]) ).
fof(f873,plain,
( ~ ssList(nil)
| ~ spl0_4 ),
inference(resolution,[],[f674,f375]) ).
fof(f875,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f873,f409]) ).
fof(f876,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f875]) ).
cnf(s4,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f396]) ).
cnf(s6,plain,
( spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f402]) ).
cnf(s16,plain,
spl0_7,
inference(sat_conversion,[],[f444]) ).
cnf(s30,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f853]) ).
cnf(s36,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f876]) ).
cnf(s37,plain,
~ spl0_4,
inference(rat,[],[s36,s16]) ).
cnf(s42,plain,
~ spl0_5,
inference(rat,[],[s6,s37]) ).
cnf(s43,plain,
~ spl0_3,
inference(rat,[],[s30,s42]) ).
cnf(s44,plain,
$false,
inference(rat,[],[s4,s37,s43]) ).
fof(f877,plain,
$false,
inference(avatar_sat_refutation,[],[s44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC256-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 08:44:40 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.27 % (3860006)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (3860012)% WARNING: option uhcvi not known.
% 0.20/0.27 % (3860012)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1766743828:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (3860014)dis+10_1_sil=32000:sp=arity:random_seed=3327994465:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (3860011)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=674013277_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % (3860012) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3860006-3860012"...
% 0.20/0.27 % (3860013)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3870359661:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (3860015)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1011088621:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (3860017)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=796781242:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % (3860016)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2051258696:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % (3860012)...printing done.
% 0.20/0.27 % (3860012)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (3860012)------------------------------
% 0.20/0.27 % (3860012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3860012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3860012)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3860012)Termination reason: Refutation
% 0.20/0.27 % (3860012)Time elapsed: 0.008 s
% 0.20/0.27 % (3860012)Peak memory usage: 13 MB
% 0.20/0.27 % (3860012)Instructions burned: 21 (million)
% 0.20/0.27 % (3860006)Success in time 0.039 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------