%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC417-1 : 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 : n003.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 01:05:58 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 76 ( 20 unt; 9 def)
% Number of atoms : 197 ( 38 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 242 ( 121 ~; 112 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
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(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f216,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk2
| app(app(X2,cons(X0,nil)),X1) != sk1
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk2 != app(app(X1,cons(X0,nil)),X2)
| sk1 != app(app(X2,cons(X0,nil)),X1)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f216]) ).
fof(f218,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f219,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f220,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f221,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f220]) ).
fof(f222,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f223,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f222]) ).
fof(f226,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk4 != app(app(X1,cons(X0,nil)),X2)
| sk3 != app(app(X2,cons(X0,nil)),X1)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f217,f204,f205]) ).
fof(f258,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f226]) ).
fof(f266,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f270,definition,
( spl0_2
<=> sk3 = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f272,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f273,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f223,f270,f266]) ).
fof(f275,definition,
( spl0_3
<=> sk4 = app(cons(sk5,nil),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f277,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f278,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f221,f275,f266]) ).
fof(f280,definition,
( spl0_4
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f282,plain,
( ssList(sk6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f283,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f219,f280,f266]) ).
fof(f285,definition,
( spl0_5
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f287,plain,
( ssItem(sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f288,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f218,f285,f266]) ).
fof(f290,definition,
( spl0_6
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| sk3 != app(app(X2,cons(X0,nil)),X1)
| sk4 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f291,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| sk3 != app(app(X2,cons(X0,nil)),X1)
| sk4 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f292,plain,
( ~ spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f233,f290,f266]) ).
fof(f298,plain,
spl0_1,
inference(avatar_split_clause,[],[f258,f266]) ).
fof(f304,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f305,plain,
( ssList(nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f340,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f304]) ).
fof(f341,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sk3 != app(app(X0,cons(sk5,nil)),X1)
| sk4 != app(app(X1,cons(sk5,nil)),X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f291,f287]) ).
fof(f348,plain,
( ! [X0] :
( ~ ssList(X0)
| sk3 != app(app(sk6,cons(sk5,nil)),X0)
| sk4 != app(app(X0,cons(sk5,nil)),sk6) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f341,f282]) ).
fof(f354,plain,
( ! [X0] :
( ~ ssList(X0)
| sk3 != app(sk3,X0)
| sk4 != app(app(X0,cons(sk5,nil)),sk6) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f348,f272]) ).
fof(f410,plain,
( sk3 != app(sk3,nil)
| sk4 != app(app(nil,cons(sk5,nil)),sk6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f354,f305]) ).
fof(f437,definition,
( spl0_28
<=> sk4 = app(app(nil,cons(sk5,nil)),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f439,plain,
( sk4 != app(app(nil,cons(sk5,nil)),sk6)
| spl0_28 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f441,definition,
( spl0_29
<=> sk3 = app(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f443,plain,
( sk3 != app(sk3,nil)
| spl0_29 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f444,plain,
( ~ spl0_28
| ~ spl0_29
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f410,f304,f290,f285,f280,f270,f441,f437]) ).
fof(f636,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f202]) ).
fof(f639,plain,
( $false
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f636,f443]) ).
fof(f640,plain,
spl0_29,
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f731,plain,
( ! [X0] :
( ssList(cons(sk5,X0))
| ~ ssList(X0) )
| ~ spl0_5 ),
inference(resolution,[],[f86,f287]) ).
fof(f733,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(nil,cons(sk5,X0)) )
| ~ spl0_5 ),
inference(resolution,[],[f731,f74]) ).
fof(f777,plain,
( cons(sk5,nil) = app(nil,cons(sk5,nil))
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f733,f305]) ).
fof(f812,plain,
( sk4 != app(cons(sk5,nil),sk6)
| ~ spl0_5
| ~ spl0_8
| spl0_28 ),
inference(superposition,[],[f439,f777]) ).
fof(f815,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f812,f277]) ).
fof(f816,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f815]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f273]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f278]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f283]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f288]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f292]) ).
cnf(s11,plain,
spl0_1,
inference(sat_conversion,[],[f298]) ).
cnf(s21,plain,
spl0_8,
inference(sat_conversion,[],[f340]) ).
cnf(s28,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f444]) ).
cnf(s32,plain,
spl0_29,
inference(sat_conversion,[],[f640]) ).
cnf(s33,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| spl0_28 ),
inference(sat_conversion,[],[f816]) ).
cnf(s34,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_28 ),
inference(rat,[],[s28,s32]) ).
cnf(s39,plain,
spl0_6,
inference(rat,[],[s5,s11]) ).
cnf(s40,plain,
spl0_5,
inference(rat,[],[s4,s11]) ).
cnf(s41,plain,
spl0_4,
inference(rat,[],[s3,s11]) ).
cnf(s42,plain,
spl0_3,
inference(rat,[],[s2,s11]) ).
cnf(s43,plain,
spl0_28,
inference(rat,[],[s33,s40,s21,s42]) ).
cnf(s44,plain,
~ spl0_2,
inference(rat,[],[s34,s41,s21,s39,s40,s43]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s1,s44,s11]) ).
fof(f818,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC417-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:35:27 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.23 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
% 0.19/0.29 % (1462929)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (1462938)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4186989028:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (1462935)% WARNING: option uhcvi not known.
% 0.19/0.29 % (1462934)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4139675656_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (1462935)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1899712702:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (1462936)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1395472162:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (1462937)dis+10_1_sil=32000:sp=arity:random_seed=3728151869:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (1462939)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=867808762:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (1462940)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1500068307:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % (1462938) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1462929-1462938"...
% 0.19/0.29 % (1462938)...printing done.
% 0.19/0.29 % (1462938)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (1462938)------------------------------
% 0.19/0.29 % (1462938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (1462938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (1462938)CaDiCaL version: 2.1.3
% 0.19/0.29 % (1462938)Termination reason: Refutation
% 0.19/0.29 % (1462938)Time elapsed: 0.013 s
% 0.19/0.29 % (1462938)Peak memory usage: 13 MB
% 0.19/0.29 % (1462938)Instructions burned: 42 (million)
% 0.19/0.29 % (1462929)Success in time 0.05 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------