%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC257-1 : 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 : n014.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 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 10 unt; 3 def)
% Number of atoms : 79 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 30 ~; 36 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause4) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause67) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f209]) ).
fof(f215,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f219,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
fof(f302,definition,
( spl0_15
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f303,plain,
( nil != sk4
| spl0_15 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f304,plain,
( nil = sk4
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl0_16
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f308,plain,
( ssItem(sk5)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f312,definition,
( spl0_17
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f313,plain,
( nil != sk3
| spl0_17 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f314,plain,
( nil = sk3
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f315,plain,
( spl0_17
| spl0_16 ),
inference(avatar_split_clause,[],[f208,f306,f312]) ).
fof(f316,plain,
( memberP(nil,sk5)
| nil = sk3
| ~ spl0_15 ),
inference(forward_demodulation,[],[f215,f304]) ).
fof(f320,plain,
( ~ totalorderedP(nil)
| ~ spl0_17 ),
inference(superposition,[],[f219,f314]) ).
fof(f321,plain,
( $false
| ~ spl0_17 ),
inference(global_subsumption,[],[f320,f4]) ).
fof(f322,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f323,plain,
( memberP(nil,sk5)
| ~ spl0_15
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f316,f313]) ).
fof(f324,plain,
( ~ ssItem(sk5)
| ~ spl0_15
| spl0_17 ),
inference(resolution,[],[f323,f71]) ).
fof(f325,plain,
( $false
| ~ spl0_15
| ~ spl0_16
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f324,f308]) ).
fof(f326,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f328,plain,
( sk3 = cons(sk5,nil)
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f210,f303]) ).
fof(f677,plain,
( totalorderedP(sk3)
| ~ ssItem(sk5)
| spl0_15 ),
inference(superposition,[],[f67,f328]) ).
fof(f678,plain,
( ~ ssItem(sk5)
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f677,f219]) ).
fof(f679,plain,
( $false
| spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f678,f308]) ).
fof(f680,plain,
( spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f679]) ).
cnf(s267,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f315]) ).
cnf(s276,plain,
~ spl0_17,
inference(sat_conversion,[],[f322]) ).
cnf(s282,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f326]) ).
cnf(s564,plain,
( spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f680]) ).
cnf(s567,plain,
spl0_16,
inference(rat,[],[s267,s276]) ).
cnf(s568,plain,
spl0_15,
inference(rat,[],[s564,s567]) ).
cnf(s570,plain,
$false,
inference(rat,[],[s282,s276,s567,s568]) ).
fof(f681,plain,
$false,
inference(avatar_sat_refutation,[],[s570]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC257-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n014.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 08:45:09 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.09/0.25 % (1637380)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (1637387)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3472328701:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.25 % (1637386)% WARNING: option uhcvi not known.
% 0.09/0.25 % (1637385)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1538879952_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.25 % (1637388)dis+10_1_sil=32000:sp=arity:random_seed=3385085596:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.25 % (1637389)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3691597897:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.25 % (1637390)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=792331861:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.25 % (1637387) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1637380-1637387"...
% 0.09/0.25 % (1637391)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=816619152:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.25 % (1637387)...printing done.
% 0.09/0.25 % (1637386)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3077683873:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.25 % (1637387)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (1637387)------------------------------
% 0.09/0.25 % (1637387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (1637387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (1637387)CaDiCaL version: 2.1.3
% 0.09/0.25 % (1637387)Termination reason: Refutation
% 0.09/0.25 % (1637387)Time elapsed: 0.009 s
% 0.09/0.25 % (1637387)Peak memory usage: 13 MB
% 0.09/0.25 % (1637387)Instructions burned: 26 (million)
% 0.09/0.25 % (1637380)Success in time 0.036 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------