%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC379-1 : 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 01:05:47 PM UTC 2026
% Result : Unsatisfiable 0.06s 0.25s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 89 ( 8 unt; 7 def)
% Number of atoms : 281 ( 24 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 329 ( 137 ~; 185 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| memberP(sk3,X0)
| ssItem(sk5(X0))
| ~ memberP(sk4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| memberP(sk3,X0)
| memberP(sk4,sk5(X0))
| ~ memberP(sk4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| memberP(sk3,X0)
| leq(sk5(X0),X0)
| ~ memberP(sk4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| memberP(sk3,X0)
| X0 != sk5(X0)
| ~ memberP(sk4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
! [X0] :
( ~ ssItem(X0)
| memberP(sk3,X0)
| sk5(X0) != X0
| ~ memberP(sk4,X0) ),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk3,X0)
| memberP(sk4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
! [X0,X1] :
( ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X1)
| X0 = X1
| ~ memberP(sk4,X1)
| ~ leq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,negated_conjecture,
( memberP(sk1,sk6)
| memberP(sk2,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f215,negated_conjecture,
! [X0] :
( memberP(sk1,sk6)
| ~ ssItem(X0)
| sk6 = X0
| ~ memberP(sk2,X0)
| ~ leq(X0,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f216,negated_conjecture,
( ssItem(sk7)
| ~ memberP(sk2,sk6)
| ~ memberP(sk1,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f217,negated_conjecture,
( memberP(sk2,sk7)
| ~ memberP(sk2,sk6)
| ~ memberP(sk1,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f218,negated_conjecture,
( leq(sk7,sk6)
| ~ memberP(sk2,sk6)
| ~ memberP(sk1,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f219,negated_conjecture,
( sk6 != sk7
| ~ memberP(sk2,sk6)
| ~ memberP(sk1,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f222,plain,
( memberP(sk3,sk6)
| memberP(sk4,sk6) ),
inference(definition_unfolding,[],[f214,f205,f204]) ).
fof(f223,plain,
! [X0] :
( memberP(sk3,sk6)
| ~ ssItem(X0)
| sk6 = X0
| ~ memberP(sk4,X0)
| ~ leq(X0,sk6) ),
inference(definition_unfolding,[],[f215,f205,f204]) ).
fof(f224,plain,
( ssItem(sk7)
| ~ memberP(sk4,sk6)
| ~ memberP(sk3,sk6) ),
inference(definition_unfolding,[],[f216,f204,f205]) ).
fof(f225,plain,
( memberP(sk4,sk7)
| ~ memberP(sk4,sk6)
| ~ memberP(sk3,sk6) ),
inference(definition_unfolding,[],[f217,f204,f204,f205]) ).
fof(f226,plain,
( leq(sk7,sk6)
| ~ memberP(sk4,sk6)
| ~ memberP(sk3,sk6) ),
inference(definition_unfolding,[],[f218,f204,f205]) ).
fof(f227,plain,
( sk6 != sk7
| ~ memberP(sk4,sk6)
| ~ memberP(sk3,sk6) ),
inference(definition_unfolding,[],[f219,f204,f205]) ).
fof(f314,plain,
! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ssItem(sk5(X0))
| memberP(sk4,X0) ),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f315,plain,
! [X0] :
( ~ memberP(sk4,sk5(X0))
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(sk4,X0) ),
inference(consistent_polarity_flipping,[],[f207]) ).
fof(f316,plain,
! [X0] :
( leq(sk5(X0),X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(sk4,X0) ),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f317,plain,
! [X0] :
( sk5(X0) != X0
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(sk4,X0) ),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f318,plain,
! [X0] :
( ~ memberP(sk4,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f211]) ).
fof(f319,plain,
! [X0,X1] :
( ~ ssItem(X1)
| memberP(sk3,X0)
| ~ ssItem(X0)
| X0 = X1
| memberP(sk4,X1)
| ~ leq(X1,X0) ),
inference(consistent_polarity_flipping,[],[f212]) ).
fof(f320,plain,
( ~ memberP(sk3,sk6)
| ~ memberP(sk4,sk6) ),
inference(consistent_polarity_flipping,[],[f222]) ).
fof(f321,plain,
! [X0] :
( ~ memberP(sk3,sk6)
| ~ ssItem(X0)
| sk6 = X0
| memberP(sk4,X0)
| ~ leq(X0,sk6) ),
inference(consistent_polarity_flipping,[],[f223]) ).
fof(f322,plain,
( ssItem(sk7)
| memberP(sk4,sk6)
| memberP(sk3,sk6) ),
inference(consistent_polarity_flipping,[],[f224]) ).
fof(f323,plain,
( ~ memberP(sk4,sk7)
| memberP(sk4,sk6)
| memberP(sk3,sk6) ),
inference(consistent_polarity_flipping,[],[f225]) ).
fof(f324,plain,
( leq(sk7,sk6)
| memberP(sk4,sk6)
| memberP(sk3,sk6) ),
inference(consistent_polarity_flipping,[],[f226]) ).
fof(f325,plain,
( sk6 != sk7
| memberP(sk4,sk6)
| memberP(sk3,sk6) ),
inference(consistent_polarity_flipping,[],[f227]) ).
fof(f333,definition,
( spl0_1
<=> memberP(sk3,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f334,plain,
( ~ memberP(sk3,sk6)
| spl0_1 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f335,plain,
( memberP(sk3,sk6)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f337,definition,
( spl0_2
<=> memberP(sk4,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f338,plain,
( ~ memberP(sk4,sk6)
| spl0_2 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f339,plain,
( memberP(sk4,sk6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f341,definition,
( spl0_3
<=> sk6 = sk7 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f343,plain,
( sk6 != sk7
| spl0_3 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f344,plain,
( spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f325,f341,f337,f333]) ).
fof(f346,definition,
( spl0_4
<=> leq(sk7,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f348,plain,
( leq(sk7,sk6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f349,plain,
( spl0_1
| spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f324,f346,f337,f333]) ).
fof(f351,definition,
( spl0_5
<=> memberP(sk4,sk7) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f353,plain,
( ~ memberP(sk4,sk7)
| spl0_5 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f354,plain,
( spl0_1
| spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f323,f351,f337,f333]) ).
fof(f356,definition,
( spl0_6
<=> ssItem(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f358,plain,
( ssItem(sk7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f359,plain,
( spl0_1
| spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f322,f356,f337,f333]) ).
fof(f361,definition,
( spl0_7
<=> ! [X0] :
( ~ ssItem(X0)
| ~ leq(X0,sk6)
| memberP(sk4,X0)
| sk6 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f362,plain,
( ! [X0] :
( ~ leq(X0,sk6)
| ~ ssItem(X0)
| memberP(sk4,X0)
| sk6 = X0 )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f363,plain,
( spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f321,f333,f361]) ).
fof(f364,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f320,f333,f337]) ).
fof(f407,plain,
( memberP(sk3,sk6)
| ~ ssItem(sk6)
| ~ spl0_2 ),
inference(resolution,[],[f318,f339]) ).
fof(f408,plain,
( ~ ssItem(sk6)
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f407,f334]) ).
fof(f409,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f408,f213]) ).
fof(f410,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f412,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| sk7 = X0
| memberP(sk4,sk7)
| ~ leq(sk7,X0) )
| ~ spl0_6 ),
inference(resolution,[],[f319,f358]) ).
fof(f413,plain,
( ! [X0] :
( ~ leq(sk7,X0)
| ~ ssItem(X0)
| sk7 = X0
| memberP(sk3,X0) )
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f412,f353]) ).
fof(f415,plain,
( ~ ssItem(sk6)
| sk6 = sk7
| memberP(sk3,sk6)
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f413,f348]) ).
fof(f416,plain,
( sk6 = sk7
| memberP(sk3,sk6)
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f415,f213]) ).
fof(f417,plain,
( memberP(sk3,sk6)
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f416,f343]) ).
fof(f420,plain,
( spl0_1
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f417,f356,f351,f346,f341,f333]) ).
fof(f434,plain,
( ~ ssItem(sk5(sk6))
| memberP(sk4,sk5(sk6))
| sk6 = sk5(sk6)
| ~ memberP(sk3,sk6)
| ~ ssItem(sk6)
| memberP(sk4,sk6)
| ~ spl0_7 ),
inference(resolution,[],[f362,f316]) ).
fof(f435,plain,
( memberP(sk4,sk5(sk6))
| sk6 = sk5(sk6)
| ~ memberP(sk3,sk6)
| ~ ssItem(sk6)
| memberP(sk4,sk6)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f434,f314]) ).
fof(f437,plain,
( sk6 = sk5(sk6)
| ~ memberP(sk3,sk6)
| ~ ssItem(sk6)
| memberP(sk4,sk6)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f435,f315]) ).
fof(f439,plain,
( ~ memberP(sk3,sk6)
| ~ ssItem(sk6)
| memberP(sk4,sk6)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f437,f317]) ).
fof(f442,plain,
( ~ ssItem(sk6)
| memberP(sk4,sk6)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f439,f335]) ).
fof(f443,plain,
( memberP(sk4,sk6)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f442,f213]) ).
fof(f444,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f443,f338]) ).
fof(f445,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f444]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f344]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f349]) ).
cnf(s3,plain,
( spl0_1
| spl0_2
| ~ spl0_5 ),
inference(sat_conversion,[],[f354]) ).
cnf(s4,plain,
( spl0_1
| spl0_2
| spl0_6 ),
inference(sat_conversion,[],[f359]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f363]) ).
cnf(s6,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f364]) ).
cnf(s17,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f410]) ).
cnf(s19,plain,
( spl0_1
| spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f420]) ).
cnf(s22,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7 ),
inference(sat_conversion,[],[f445]) ).
cnf(s27,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s19,s1,s2,s3,s4]) ).
cnf(s28,plain,
spl0_1,
inference(rat,[],[s27,s17]) ).
cnf(s29,plain,
~ spl0_2,
inference(rat,[],[s6,s28]) ).
cnf(s30,plain,
spl0_7,
inference(rat,[],[s5,s28]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s22,s30,s28,s29]) ).
fof(f446,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC379-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18 % Computer : n007.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 09:19:55 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21 Running first-order model finding
% 0.06/0.21 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
% 0.06/0.25 % (2261457)Will run a generic schedule for satisfiability detection.
% 0.06/0.25 % (2261463)% WARNING: option uhcvi not known.
% 0.06/0.25 % (2261463)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2036948589:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.25 % (2261463) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2261457-2261463"...
% 0.06/0.25 % (2261463)...printing done.
% 0.06/0.25 % (2261463)Refutation found. Thanks to Tanya!
% 0.06/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.06/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.25 % (2261463)------------------------------
% 0.06/0.25 % (2261463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.25 % (2261463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.25 % (2261463)CaDiCaL version: 2.1.3
% 0.06/0.25 % (2261463)Termination reason: Refutation
% 0.06/0.25 % (2261463)Time elapsed: 0.003 s
% 0.06/0.25 % (2261463)Peak memory usage: 12 MB
% 0.06/0.25 % (2261463)Instructions burned: 7 (million)
% 0.06/0.25 % (2261457)Success in time 0.029 s
% 0.06/0.25 % Vampire exiting
%------------------------------------------------------------------------------