%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC386-1 : 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 : n026.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 01:05:49 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 80 ( 14 unt; 8 def)
% Number of atoms : 183 ( 34 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 195 ( 92 ~; 95 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
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(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,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f212,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f215,negated_conjecture,
! [X0] :
( nil = sk2
| ~ ssItem(X0)
| cons(X0,nil) != sk1
| ~ memberP(sk2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f216,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
! [X0] :
( nil != sk1
| ~ ssItem(X0)
| cons(X0,nil) != sk1
| ~ memberP(sk2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f221,plain,
! [X0] :
( nil = sk4
| ~ ssItem(X0)
| cons(X0,nil) != sk3
| ~ memberP(sk4,X0) ),
inference(definition_unfolding,[],[f215,f204,f205,f204]) ).
fof(f222,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f216,f205,f204]) ).
fof(f223,plain,
! [X0] :
( nil != sk3
| ~ ssItem(X0)
| cons(X0,nil) != sk3
| ~ memberP(sk4,X0) ),
inference(definition_unfolding,[],[f217,f205,f205,f204]) ).
fof(f230,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f293,plain,
! [X1] :
( neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(consistent_polarity_flipping,[],[f230]) ).
fof(f336,plain,
( nil != sk3
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f222]) ).
fof(f341,plain,
! [X1] :
( neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f293]) ).
fof(f344,definition,
( spl0_1
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk4,X0)
| cons(X0,nil) != sk3 ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f345,plain,
( ! [X0] :
( cons(X0,nil) != sk3
| ~ memberP(sk4,X0)
| ~ ssItem(X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f347,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f350,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f223,f347,f344]) ).
fof(f352,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f354,plain,
( ~ neq(sk4,nil)
| spl0_3 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f355,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f336,f347,f352]) ).
fof(f357,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f359,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f360,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f221,f357,f344]) ).
fof(f363,definition,
( spl0_5
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f365,plain,
( memberP(sk4,sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f366,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f213,f363,f347]) ).
fof(f368,definition,
( spl0_6
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f370,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f371,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f212,f368,f347]) ).
fof(f372,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f210,f363,f357]) ).
fof(f373,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f209,f368,f357]) ).
fof(f375,definition,
( spl0_7
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f378,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f207,f375,f347]) ).
fof(f379,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f206,f375,f357]) ).
fof(f385,definition,
( spl0_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f386,plain,
( ssList(nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f421,plain,
spl0_9,
inference(avatar_split_clause,[],[f8,f385]) ).
fof(f424,plain,
( memberP(nil,sk5)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f365,f359]) ).
fof(f433,plain,
( sk3 != sk3
| ~ memberP(sk4,sk5)
| ~ ssItem(sk5)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f345,f370]) ).
fof(f434,plain,
( ~ memberP(sk4,sk5)
| ~ ssItem(sk5)
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f433]) ).
fof(f435,plain,
( ~ ssItem(sk5)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f434,f365]) ).
fof(f438,plain,
( ~ spl0_7
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f435,f368,f363,f344,f375]) ).
fof(f441,plain,
( ~ neq(nil,nil)
| spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f354,f359]) ).
fof(f475,plain,
( ~ ssItem(sk5)
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f71,f424]) ).
fof(f477,plain,
( ~ ssList(nil)
| spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f341,f441]) ).
fof(f478,plain,
( $false
| spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f477,f386]) ).
fof(f479,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f481,plain,
( ~ spl0_7
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f475,f363,f357,f375]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f350]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f355]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f360]) ).
cnf(s5,plain,
( spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f366]) ).
cnf(s6,plain,
( spl0_2
| spl0_6 ),
inference(sat_conversion,[],[f371]) ).
cnf(s7,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f372]) ).
cnf(s8,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f373]) ).
cnf(s9,plain,
( spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f378]) ).
cnf(s10,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f379]) ).
cnf(s20,plain,
spl0_9,
inference(sat_conversion,[],[f421]) ).
cnf(s25,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f438]) ).
cnf(s26,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(sat_conversion,[],[f479]) ).
cnf(s27,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f481]) ).
cnf(s32,plain,
spl0_1,
inference(rat,[],[s27,s5,s9,s1,s3]) ).
cnf(s33,plain,
spl0_2,
inference(rat,[],[s25,s5,s6,s9,s32]) ).
cnf(s34,plain,
~ spl0_3,
inference(rat,[],[s2,s33]) ).
cnf(s35,plain,
~ spl0_4,
inference(rat,[],[s26,s20,s34]) ).
cnf(s36,plain,
spl0_7,
inference(rat,[],[s10,s35]) ).
cnf(s37,plain,
spl0_6,
inference(rat,[],[s8,s35]) ).
cnf(s38,plain,
spl0_5,
inference(rat,[],[s7,s35]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s25,s36,s32,s37,s38]) ).
fof(f482,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC386-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n026.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 09:28:12 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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 % (3718908)Will run a generic schedule for satisfiability detection.
% 0.18/0.27 % (3718914)% WARNING: option uhcvi not known.
% 0.18/0.27 % (3718914)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3428196842:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.27 % (3718914) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3718908-3718914"...
% 0.18/0.27 % (3718914)...printing done.
% 0.18/0.27 % (3718914)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
% 0.18/0.28 % (3718914)------------------------------
% 0.18/0.28 % (3718914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.28 % (3718914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.28 % (3718914)CaDiCaL version: 2.1.3
% 0.18/0.28 % (3718914)Termination reason: Refutation
% 0.18/0.28 % (3718914)Time elapsed: 0.004 s
% 0.18/0.28 % (3718914)Peak memory usage: 13 MB
% 0.18/0.28 % (3718914)Instructions burned: 9 (million)
% 0.18/0.28 % (3718908)Success in time 0.045 s
% 0.18/0.28 % Vampire exiting
%------------------------------------------------------------------------------