%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC219-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 01:05:09 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.33s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 50 ( 15 unt; 4 def)
% Number of atoms : 128 ( 28 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 161 ( 83 ~; 74 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk1
| ssItem(sk5(X2,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk1 != app(app(X1,cons(X0,nil)),X2)
| ssItem(sk5(X2,X1,X0)) ),
inference(reorient_equations,[],[f207]) ).
fof(f211,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk1
| memberP(X2,sk5(X2,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk1 != app(app(X1,cons(X0,nil)),X2)
| memberP(X2,sk5(X2,X1,X0)) ),
inference(reorient_equations,[],[f211]) ).
fof(f218,negated_conjecture,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f223,negated_conjecture,
( cons(sk6,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f224,plain,
( sk3 = cons(sk6,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f223]) ).
fof(f229,plain,
nil != sk3,
inference(definition_unfolding,[],[f206,f205]) ).
fof(f230,plain,
! [X2,X0,X1] :
( sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| ssItem(sk5(X2,X1,X0)) ),
inference(definition_unfolding,[],[f208,f205]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk3 != app(app(X1,cons(X0,nil)),X2)
| memberP(X2,sk5(X2,X1,X0)) ),
inference(definition_unfolding,[],[f212,f205]) ).
fof(f274,plain,
! [X0] :
( memberP(nil,X0)
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f71]) ).
fof(f332,plain,
! [X2,X0,X1] :
( ~ memberP(X2,sk5(X2,X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f232]) ).
fof(f344,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f357,definition,
( spl0_4
<=> sk3 = cons(sk6,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f359,plain,
( sk3 = cons(sk6,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f360,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f224,f357,f344]) ).
fof(f369,definition,
( spl0_6
<=> ssItem(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f371,plain,
( ssItem(sk6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f372,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f218,f369,f344]) ).
fof(f374,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f229,f344]) ).
fof(f380,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f381,plain,
( ssList(nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f416,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f380]) ).
fof(f480,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f202]) ).
fof(f510,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f552,plain,
! [X0,X1] :
( ~ ssItem(sk5(nil,X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| sk3 != app(app(X0,cons(X1,nil)),nil)
| ~ ssItem(X1) ),
inference(resolution,[],[f274,f332]) ).
fof(f553,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(nil)
| sk3 != app(app(X0,cons(X1,nil)),nil)
| ~ ssItem(X1) ),
inference(forward_subsumption_resolution,[],[f552,f230]) ).
fof(f555,plain,
( ! [X0,X1] :
( sk3 != app(app(X0,cons(X1,nil)),nil)
| ~ ssList(X0)
| ~ ssItem(X1) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f553,f381]) ).
fof(f557,plain,
( ! [X0] :
( sk3 != app(app(X0,sk3),nil)
| ~ ssList(X0)
| ~ ssItem(sk6) )
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f555,f359]) ).
fof(f558,plain,
( ! [X0] :
( sk3 != app(app(X0,sk3),nil)
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f557,f371]) ).
fof(f569,plain,
( sk3 != app(sk3,nil)
| ~ ssList(nil)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f558,f510]) ).
fof(f570,plain,
( ~ ssList(nil)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f569,f480]) ).
fof(f571,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f570,f381]) ).
fof(f572,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f571]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f360]) ).
cnf(s7,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f372]) ).
cnf(s9,plain,
~ spl0_1,
inference(sat_conversion,[],[f374]) ).
cnf(s19,plain,
spl0_8,
inference(sat_conversion,[],[f416]) ).
cnf(s21,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f572]) ).
cnf(s26,plain,
spl0_6,
inference(rat,[],[s7,s9]) ).
cnf(s27,plain,
~ spl0_4,
inference(rat,[],[s21,s19,s26]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s3,s27,s9]) ).
fof(f573,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC219-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n007.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 08:30:40 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 Running first-order model finding
% 0.10/0.27 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/0.33 % (2246040)Will run a generic schedule for satisfiability detection.
% 0.26/0.33 % (2246046)% WARNING: option uhcvi not known.
% 0.26/0.33 % (2246046)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1490652308:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.33 % (2246045)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2275443712_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.33 % (2246046) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2246040-2246046"...
% 0.26/0.33 % (2246046)...printing done.
% 0.26/0.33 % (2246046)Refutation found. Thanks to Tanya!
% 0.26/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.33 % (2246046)------------------------------
% 0.26/0.33 % (2246046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.33 % (2246046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.33 % (2246046)CaDiCaL version: 2.1.3
% 0.26/0.33 % (2246046)Termination reason: Refutation
% 0.26/0.33 % (2246046)Time elapsed: 0.010 s
% 0.26/0.33 % (2246046)Peak memory usage: 12 MB
% 0.26/0.33 % (2246046)Instructions burned: 15 (million)
% 0.26/0.33 % (2246040)Success in time 0.04 s
% 0.26/0.33 % Vampire exiting
%------------------------------------------------------------------------------