%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC023-1 : 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 : n018.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 01:04:20 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of formulae : 77 ( 18 unt; 8 def)
% Number of atoms : 160 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 149 ( 66 ~; 75 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause61) ).
fof(f83,axiom,
! [X0] :
( nil != X0
| ~ ssList(X0)
| frontsegP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause83) ).
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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ frontsegP(sk2,X0)
| ~ frontsegP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssList(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ssList(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( neq(sk5,nil)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( frontsegP(sk4,sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
( frontsegP(sk3,sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f213,negated_conjecture,
( neq(sk5,nil)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f214,negated_conjecture,
( frontsegP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f215,negated_conjecture,
( frontsegP(sk3,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f218,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f219,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f222,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f83]) ).
fof(f251,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f253,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_2
<=> frontsegP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f257,plain,
( frontsegP(sk3,sk5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f215,f255,f251]) ).
fof(f260,definition,
( spl0_3
<=> frontsegP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f262,plain,
( frontsegP(sk4,sk5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f214,f260,f251]) ).
fof(f265,definition,
( spl0_4
<=> neq(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f267,plain,
( neq(sk5,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f268,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f213,f265,f251]) ).
fof(f270,definition,
( spl0_5
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f272,plain,
( nil = sk4
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f273,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f212,f255,f270]) ).
fof(f274,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f211,f260,f270]) ).
fof(f275,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f210,f265,f270]) ).
fof(f277,definition,
( spl0_6
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f279,plain,
( ssList(sk5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f209,f277,f251]) ).
fof(f281,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f208,f277,f270]) ).
fof(f287,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f300,definition,
( spl0_11
<=> frontsegP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f302,plain,
( frontsegP(nil,nil)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f303,plain,
( spl0_11
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f222,f287,f300]) ).
fof(f323,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f287]) ).
fof(f324,plain,
( ~ ssList(sk4)
| ~ frontsegP(sk4,sk4)
| ~ frontsegP(sk3,sk4) ),
inference(resolution,[],[f219,f218]) ).
fof(f325,plain,
( ~ ssList(sk5)
| ~ frontsegP(sk4,sk5)
| ~ frontsegP(sk3,sk5)
| ~ spl0_4 ),
inference(resolution,[],[f219,f267]) ).
fof(f326,plain,
( ~ frontsegP(sk4,sk5)
| ~ frontsegP(sk3,sk5)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f325,f279]) ).
fof(f327,plain,
( ~ ssList(sk4)
| ~ frontsegP(sk3,sk4) ),
inference(forward_subsumption_resolution,[],[f324,f61]) ).
fof(f328,plain,
( ~ frontsegP(sk3,sk5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f326,f262]) ).
fof(f329,plain,
~ frontsegP(sk3,sk4),
inference(forward_subsumption_resolution,[],[f327,f203]) ).
fof(f330,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f328,f257]) ).
fof(f331,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f330]) ).
fof(f342,plain,
( ~ frontsegP(nil,sk4)
| ~ spl0_1 ),
inference(superposition,[],[f329,f253]) ).
fof(f345,plain,
( ~ frontsegP(nil,nil)
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f342,f272]) ).
fof(f348,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f345,f302]) ).
fof(f349,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f348]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f258]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f263]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f268]) ).
cnf(s4,plain,
( spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f273]) ).
cnf(s5,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f274]) ).
cnf(s6,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f275]) ).
cnf(s7,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f280]) ).
cnf(s8,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f281]) ).
cnf(s12,plain,
( ~ spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f303]) ).
cnf(s18,plain,
spl0_8,
inference(sat_conversion,[],[f323]) ).
cnf(s19,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f331]) ).
cnf(s22,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_11 ),
inference(sat_conversion,[],[f349]) ).
cnf(s25,plain,
spl0_11,
inference(rat,[],[s12,s18]) ).
cnf(s27,plain,
spl0_1,
inference(rat,[],[s19,s1,s2,s3,s7]) ).
cnf(s28,plain,
~ spl0_5,
inference(rat,[],[s22,s25,s27]) ).
cnf(s29,plain,
spl0_6,
inference(rat,[],[s8,s28]) ).
cnf(s30,plain,
spl0_4,
inference(rat,[],[s6,s28]) ).
cnf(s31,plain,
spl0_3,
inference(rat,[],[s5,s28]) ).
cnf(s32,plain,
spl0_2,
inference(rat,[],[s4,s28]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s19,s29,s30,s31,s32]) ).
fof(f350,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC023-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 07:31:55 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.46 % (3207827)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (3207836)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2973406261:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.46 % (3207833)% WARNING: option uhcvi not known.
% 0.18/0.46 % (3207836) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3207827-3207836"...
% 0.18/0.46 % (3207836)...printing done.
% 0.18/0.46 % (3207836)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (3207836)------------------------------
% 0.18/0.46 % (3207836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (3207836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (3207836)CaDiCaL version: 2.1.3
% 0.18/0.46 % (3207836)Termination reason: Refutation
% 0.18/0.46 % (3207836)Time elapsed: 0.005 s
% 0.18/0.46 % (3207836)Peak memory usage: 12 MB
% 0.18/0.46 % (3207836)Instructions burned: 12 (million)
% 0.18/0.46 % (3207827)Success in time 0.033 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------