%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC025-1 : 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 : n009.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 0.13s 0.47s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 22
% Syntax : Number of formulae : 93 ( 19 unt; 6 def)
% Number of atoms : 215 ( 42 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 208 ( 86 ~; 116 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f75,axiom,
! [X0] :
( ~ ssList(X0)
| ssList(tl(X0))
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).
fof(f76,axiom,
! [X0] :
( ~ ssList(X0)
| ssItem(hd(X0))
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause76) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f112,axiom,
! [X0] :
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
fof(f149,axiom,
! [X2,X0,X1] :
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause138) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f201,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
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(f207,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| memberP(sk4,X0)
| ~ memberP(sk3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| memberP(sk3,X0)
| ~ memberP(sk4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk2
| nil = sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f212,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f213,plain,
ssList(sk3),
inference(definition_unfolding,[],[f200,f205]) ).
fof(f214,plain,
ssList(sk4),
inference(definition_unfolding,[],[f201,f204]) ).
fof(f215,plain,
( nil = sk4
| nil = sk3 ),
inference(definition_unfolding,[],[f209,f204,f205]) ).
fof(f218,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f212,f205,f204]) ).
fof(f228,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f250,plain,
! [X0] : ~ ssItem(skaf83(X0)),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f251,plain,
! [X0] : ~ ssList(skaf82(X0)),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f308,plain,
! [X0] :
( memberP(nil,X0)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f71]) ).
fof(f312,plain,
! [X0] :
( ~ ssList(tl(X0))
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f313,plain,
! [X0] :
( ~ ssItem(hd(X0))
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f341,plain,
! [X0] :
( ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f346,plain,
! [X0] :
( ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f112]) ).
fof(f375,plain,
! [X2,X1] :
( ssList(X2)
| ssItem(X1)
| ssItem(X1)
| ~ memberP(cons(X1,X2),X1) ),
inference(consistent_polarity_flipping,[],[f228]) ).
fof(f423,plain,
~ ssList(sk3),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f424,plain,
~ ssList(sk4),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f428,plain,
! [X0] :
( ssItem(X0)
| ~ memberP(sk4,X0)
| memberP(sk3,X0) ),
inference(consistent_polarity_flipping,[],[f207]) ).
fof(f429,plain,
! [X0] :
( ssItem(X0)
| ~ memberP(sk3,X0)
| memberP(sk4,X0) ),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f432,plain,
! [X2,X1] :
( ~ memberP(cons(X1,X2),X1)
| ssItem(X1)
| ssList(X2) ),
inference(duplicate_literal_removal,[],[f375]) ).
fof(f437,definition,
( spl0_1
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f438,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f439,plain,
( nil != sk4
| spl0_1 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f441,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f442,plain,
( nil = sk3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f443,plain,
( nil != sk3
| spl0_2 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f444,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f218,f441,f437]) ).
fof(f445,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f215,f437,f441]) ).
fof(f492,plain,
( ! [X0] :
( ~ memberP(nil,X0)
| ssItem(X0)
| memberP(sk4,X0) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f429,f442]) ).
fof(f747,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| nil = sk3 ),
inference(resolution,[],[f341,f423]) ).
fof(f783,plain,
( sk4 = cons(skaf83(sk4),skaf82(sk4))
| nil = sk4 ),
inference(resolution,[],[f346,f424]) ).
fof(f784,plain,
( sk4 = cons(skaf83(sk4),skaf82(sk4))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f783,f439]) ).
fof(f819,definition,
( spl0_14
<=> sk3 = cons(hd(sk3),tl(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f821,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f822,plain,
( spl0_2
| spl0_14 ),
inference(avatar_split_clause,[],[f747,f819,f441]) ).
fof(f834,definition,
( spl0_17
<=> sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f836,plain,
( sk4 = cons(skaf83(sk4),skaf82(sk4))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f900,definition,
( spl0_18
<=> ssList(tl(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f901,plain,
( ~ ssList(tl(sk3))
| spl0_18 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f902,plain,
( ssList(tl(sk3))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f937,plain,
( ssList(sk3)
| nil = sk3
| ~ spl0_18 ),
inference(resolution,[],[f902,f312]) ).
fof(f938,plain,
( nil = sk3
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f937,f423]) ).
fof(f939,plain,
( $false
| spl0_2
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f938,f443]) ).
fof(f940,plain,
( spl0_2
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f939]) ).
fof(f942,plain,
( spl0_17
| spl0_1 ),
inference(avatar_split_clause,[],[f784,f437,f834]) ).
fof(f1014,plain,
( ! [X0] :
( ssItem(X0)
| ssItem(X0)
| memberP(sk4,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f308,f492]) ).
fof(f1015,plain,
( ! [X0] :
( memberP(sk4,X0)
| ssItem(X0) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f1014]) ).
fof(f1069,plain,
( ~ memberP(sk4,skaf83(sk4))
| ssItem(skaf83(sk4))
| ssList(skaf82(sk4))
| ~ spl0_17 ),
inference(superposition,[],[f432,f836]) ).
fof(f1072,plain,
( ssItem(skaf83(sk4))
| ssList(skaf82(sk4))
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1069,f1015]) ).
fof(f1074,plain,
( ssList(skaf82(sk4))
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1072,f250]) ).
fof(f1076,plain,
( $false
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1074,f251]) ).
fof(f1077,plain,
( ~ spl0_2
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1076]) ).
fof(f1096,plain,
( ! [X0] :
( ~ memberP(nil,X0)
| ssItem(X0)
| memberP(sk3,X0) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f428,f438]) ).
fof(f1097,plain,
( ! [X0] :
( memberP(sk3,X0)
| ssItem(X0) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1096,f308]) ).
fof(f1353,definition,
( spl0_39
<=> ssItem(hd(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f1355,plain,
( ssItem(hd(sk3))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1385,plain,
( ~ memberP(sk3,hd(sk3))
| ssItem(hd(sk3))
| ssList(tl(sk3))
| ~ spl0_14 ),
inference(superposition,[],[f432,f821]) ).
fof(f1389,plain,
( ssItem(hd(sk3))
| ssList(tl(sk3))
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1385,f1097]) ).
fof(f1392,plain,
( ssItem(hd(sk3))
| ~ spl0_1
| ~ spl0_14
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f1389,f901]) ).
fof(f1395,plain,
( spl0_39
| ~ spl0_1
| ~ spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f1392,f900,f819,f437,f1353]) ).
fof(f1423,plain,
( ssList(sk3)
| nil = sk3
| ~ spl0_39 ),
inference(resolution,[],[f1355,f313]) ).
fof(f1424,plain,
( nil = sk3
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1423,f423]) ).
fof(f1425,plain,
( $false
| spl0_2
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1424,f443]) ).
fof(f1426,plain,
( spl0_2
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1425]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f444]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f445]) ).
cnf(s16,plain,
( spl0_2
| spl0_14 ),
inference(sat_conversion,[],[f822]) ).
cnf(s24,plain,
( spl0_2
| ~ spl0_18 ),
inference(sat_conversion,[],[f940]) ).
cnf(s26,plain,
( spl0_1
| spl0_17 ),
inference(sat_conversion,[],[f942]) ).
cnf(s43,plain,
( ~ spl0_2
| ~ spl0_17 ),
inference(sat_conversion,[],[f1077]) ).
cnf(s61,plain,
( ~ spl0_1
| ~ spl0_14
| spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f1395]) ).
cnf(s64,plain,
( spl0_2
| ~ spl0_39 ),
inference(sat_conversion,[],[f1426]) ).
cnf(s69,plain,
spl0_1,
inference(rat,[],[s43,s2,s26]) ).
cnf(s71,plain,
~ spl0_2,
inference(rat,[],[s1,s69]) ).
cnf(s72,plain,
~ spl0_39,
inference(rat,[],[s64,s71]) ).
cnf(s73,plain,
~ spl0_18,
inference(rat,[],[s24,s71]) ).
cnf(s75,plain,
spl0_14,
inference(rat,[],[s16,s71]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s61,s72,s69,s73,s75]) ).
fof(f1427,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC025-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.35 % Computer : n009.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 28 07:30:30 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 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
% 0.13/0.47 % (2861911)Will run a generic schedule for satisfiability detection.
% 0.13/0.47 % (2861916)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2882096661_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.47 % (2861917)% WARNING: option uhcvi not known.
% 0.13/0.47 % TRYING [1]
% 0.13/0.47 % TRYING [2]
% 0.13/0.47 % (2861919)dis+10_1_sil=32000:sp=arity:random_seed=3228599891:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.47 % (2861918)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=129790254:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.47 % (2861920)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=210263044:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.47 % (2861921)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=937357824:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.47 % (2861922)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3486191963:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.47 % (2861917)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3652003442:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.47 % TRYING [3]
% 0.13/0.47 % TRYING [4]
% 0.13/0.47 % (2861919) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2861911-2861919"...
% 0.13/0.47 % (2861917) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2861911-2861917"...
% 0.13/0.47 % (2861919)...printing done.
% 0.13/0.47 % (2861917)...printing done.
% 0.13/0.47 % (2861917)Refutation found. Thanks to Tanya!
% 0.13/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.47 % (2861917)------------------------------
% 0.13/0.47 % (2861917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.47 % (2861917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.47 % (2861917)CaDiCaL version: 2.1.3
% 0.13/0.47 % (2861917)Termination reason: Refutation
% 0.13/0.47 % (2861917)Time elapsed: 0.028 s
% 0.13/0.47 % (2861917)Peak memory usage: 13 MB
% 0.13/0.47 % (2861917)Instructions burned: 40 (million)
% 0.13/0.47 % (2861911)Success in time 0.071 s
% 0.13/0.47 % Vampire exiting
%------------------------------------------------------------------------------