%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC330-1 : 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 : n014.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 01:05:34 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.32s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 29
% Syntax : Number of formulae : 113 ( 22 unt; 11 def)
% Number of atoms : 263 ( 38 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 248 ( 98 ~; 139 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 12 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause1) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause64) ).
fof(f79,axiom,
! [X0] :
( nil != X0
| ~ ssList(X0)
| segmentP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause79) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).
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(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(f210,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f210]) ).
fof(f216,negated_conjecture,
( ssList(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f218,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f219,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f218]) ).
fof(f220,negated_conjecture,
( app(app(sk6,sk3),sk7) = sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f221,plain,
( sk4 = app(app(sk6,sk3),sk7)
| nil = sk3 ),
inference(reorient_equations,[],[f220]) ).
fof(f224,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ equalelemsP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_21) ).
fof(f225,plain,
ssList(sk3),
inference(definition_unfolding,[],[f200,f205]) ).
fof(f226,plain,
ssList(sk4),
inference(definition_unfolding,[],[f201,f204]) ).
fof(f227,plain,
( ~ segmentP(sk4,sk3)
| ~ equalelemsP(sk3) ),
inference(definition_unfolding,[],[f224,f204,f205,f205]) ).
fof(f228,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f242,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f255,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f310,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f325,plain,
( ssList(nil)
| segmentP(nil,nil) ),
inference(consistent_polarity_flipping,[],[f228]) ).
fof(f344,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ssItem(X0)
| ssList(X1) ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f419,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ssList(X0)
| ssList(X1)
| ssList(app(app(X0,X1),X2))
| ssList(X2) ),
inference(consistent_polarity_flipping,[],[f242]) ).
fof(f432,plain,
~ ssList(sk3),
inference(consistent_polarity_flipping,[],[f225]) ).
fof(f433,plain,
~ ssList(sk4),
inference(consistent_polarity_flipping,[],[f226]) ).
fof(f436,plain,
( ~ ssItem(sk5)
| nil = sk4 ),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f437,plain,
( ~ ssItem(sk5)
| nil = sk3 ),
inference(consistent_polarity_flipping,[],[f207]) ).
fof(f442,plain,
( ~ ssList(sk6)
| nil = sk3 ),
inference(consistent_polarity_flipping,[],[f216]) ).
fof(f443,plain,
( ~ ssList(sk7)
| nil = sk3 ),
inference(consistent_polarity_flipping,[],[f217]) ).
fof(f453,definition,
( spl0_1
<=> equalelemsP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f455,plain,
( ~ equalelemsP(sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f457,definition,
( spl0_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f459,plain,
( ~ segmentP(sk4,sk3)
| spl0_2 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f460,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f227,f457,f453]) ).
fof(f462,definition,
( spl0_3
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f464,plain,
( nil = sk3
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f474,definition,
( spl0_6
<=> sk4 = app(app(sk6,sk3),sk7) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f476,plain,
( sk4 = app(app(sk6,sk3),sk7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f477,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f221,f474,f462]) ).
fof(f479,definition,
( spl0_7
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f481,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f482,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f219,f479,f462]) ).
fof(f484,definition,
( spl0_8
<=> ssList(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f486,plain,
( ~ ssList(sk7)
| spl0_8 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f487,plain,
( spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f443,f484,f462]) ).
fof(f489,definition,
( spl0_9
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f492,plain,
( spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f442,f489,f462]) ).
fof(f494,definition,
( spl0_10
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f496,plain,
( nil = sk4
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f500,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f211,f479,f494]) ).
fof(f504,definition,
( spl0_11
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f506,plain,
( ~ ssItem(sk5)
| spl0_11 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f507,plain,
( spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f437,f504,f462]) ).
fof(f508,plain,
( spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f436,f504,f494]) ).
fof(f514,definition,
( spl0_13
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f515,plain,
( ~ ssList(nil)
| spl0_13 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f537,definition,
( spl0_18
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f539,plain,
( segmentP(nil,nil)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f540,plain,
( spl0_18
| spl0_13 ),
inference(avatar_split_clause,[],[f325,f514,f537]) ).
fof(f550,plain,
~ spl0_13,
inference(avatar_split_clause,[],[f255,f514]) ).
fof(f563,plain,
( ~ equalelemsP(nil)
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f455,f464]) ).
fof(f565,plain,
( $false
| spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f563,f1]) ).
fof(f566,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f565]) ).
fof(f568,plain,
( equalelemsP(sk3)
| ssItem(sk5)
| ~ spl0_7 ),
inference(superposition,[],[f310,f481]) ).
fof(f573,plain,
( equalelemsP(sk3)
| ~ spl0_7
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f568,f506]) ).
fof(f574,plain,
( spl0_1
| ~ spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f573,f504,f479,f453]) ).
fof(f681,plain,
( nil != sk3
| ssItem(sk5)
| ssList(nil)
| ~ spl0_7 ),
inference(superposition,[],[f344,f481]) ).
fof(f2295,plain,
( segmentP(sk4,sk3)
| ssList(sk6)
| ssList(sk3)
| ssList(sk4)
| ssList(sk7)
| ~ spl0_6 ),
inference(superposition,[],[f419,f476]) ).
fof(f2301,plain,
( ssList(sk6)
| ssList(sk3)
| ssList(sk4)
| ssList(sk7)
| spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f2295,f459]) ).
fof(f2356,plain,
( ssList(sk6)
| ssList(sk4)
| ssList(sk7)
| spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f2301,f432]) ).
fof(f2357,plain,
( nil != sk3
| ssList(nil)
| ~ spl0_7
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f681,f506]) ).
fof(f2383,plain,
( ssList(sk6)
| ssList(sk7)
| spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f2356,f433]) ).
fof(f2384,plain,
( nil != sk3
| ~ spl0_7
| spl0_11
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f2357,f515]) ).
fof(f2397,plain,
( ssList(sk6)
| spl0_2
| ~ spl0_6
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f2383,f486]) ).
fof(f2398,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f2384,f514,f504,f479,f462]) ).
fof(f2399,plain,
( spl0_9
| spl0_2
| ~ spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f2397,f484,f474,f457,f489]) ).
fof(f2433,plain,
( ~ segmentP(nil,sk3)
| spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f459,f496]) ).
fof(f2442,plain,
( ~ segmentP(nil,nil)
| spl0_2
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2433,f464]) ).
fof(f2443,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2442,f539]) ).
fof(f2444,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2443]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f460]) ).
cnf(s4,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f477]) ).
cnf(s5,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f482]) ).
cnf(s6,plain,
( spl0_3
| ~ spl0_8 ),
inference(sat_conversion,[],[f487]) ).
cnf(s7,plain,
( spl0_3
| ~ spl0_9 ),
inference(sat_conversion,[],[f492]) ).
cnf(s11,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f500]) ).
cnf(s14,plain,
( spl0_3
| ~ spl0_11 ),
inference(sat_conversion,[],[f507]) ).
cnf(s15,plain,
( spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f508]) ).
cnf(s21,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f540]) ).
cnf(s25,plain,
~ spl0_13,
inference(sat_conversion,[],[f550]) ).
cnf(s27,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f566]) ).
cnf(s29,plain,
( spl0_1
| ~ spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f574]) ).
cnf(s116,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f2398]) ).
cnf(s120,plain,
( spl0_2
| ~ spl0_6
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f2399]) ).
cnf(s130,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_18 ),
inference(sat_conversion,[],[f2444]) ).
cnf(s131,plain,
spl0_18,
inference(rat,[],[s21,s25]) ).
cnf(s135,plain,
spl0_1,
inference(rat,[],[s29,s5,s14,s27]) ).
cnf(s136,plain,
~ spl0_2,
inference(rat,[],[s1,s135]) ).
cnf(s137,plain,
spl0_3,
inference(rat,[],[s120,s4,s6,s7,s136]) ).
cnf(s139,plain,
~ spl0_10,
inference(rat,[],[s130,s131,s136,s137]) ).
cnf(s145,plain,
~ spl0_11,
inference(rat,[],[s15,s139]) ).
cnf(s148,plain,
spl0_7,
inference(rat,[],[s11,s139]) ).
cnf(s152,plain,
$false,
inference(rat,[],[s116,s25,s137,s145,s148]) ).
fof(f2445,plain,
$false,
inference(avatar_sat_refutation,[],[s152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC330-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n014.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 09:08:29 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.32 % (1651249)Will run a generic schedule for satisfiability detection.
% 0.19/0.32 % (1651260)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1313055054:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.32 % (1651255)% WARNING: option uhcvi not known.
% 0.19/0.32 % (1651257)dis+10_1_sil=32000:sp=arity:random_seed=1238042944:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.32 % (1651254)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3149531166_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.32 % (1651259)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1502437533:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.32 % (1651256)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3257259698:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.32 % (1651255)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2402710334:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.32 % (1651258)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=495382803:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.32 % TRYING [1]
% 0.19/0.32 % TRYING [2]
% 0.19/0.32 % TRYING [3]
% 0.19/0.32 % TRYING [4]
% 0.19/0.32 % (1651255) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1651249-1651255"...
% 0.19/0.32 % (1651255)...printing done.
% 0.19/0.32 % (1651255)Refutation found. Thanks to Tanya!
% 0.19/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.32 % (1651255)------------------------------
% 0.19/0.32 % (1651255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32 % (1651255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32 % (1651255)CaDiCaL version: 2.1.3
% 0.19/0.32 % (1651255)Termination reason: Refutation
% 0.19/0.32 % (1651255)Time elapsed: 0.042 s
% 0.19/0.32 % (1651255)Peak memory usage: 13 MB
% 0.19/0.32 % (1651255)Instructions burned: 71 (million)
% 0.19/0.32 % (1651249)Success in time 0.088 s
% 0.19/0.32 % Vampire exiting
%------------------------------------------------------------------------------