%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC100-1 : 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 : n015.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 01:04:40 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 81 ( 17 unt; 6 def)
% Number of atoms : 197 ( 36 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 225 ( 109 ~; 110 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
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,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f207]) ).
fof(f212,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f214,negated_conjecture,
( nil = sk2
| ~ neq(sk1,nil)
| ~ frontsegP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f215,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f216,negated_conjecture,
( nil != sk1
| ~ neq(sk1,nil)
| ~ frontsegP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f220,plain,
( nil = sk4
| ~ neq(sk3,nil)
| ~ frontsegP(sk4,sk3) ),
inference(definition_unfolding,[],[f214,f204,f205,f204,f205]) ).
fof(f221,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f215,f205,f204]) ).
fof(f222,plain,
( nil != sk3
| ~ neq(sk3,nil)
| ~ frontsegP(sk4,sk3) ),
inference(definition_unfolding,[],[f216,f205,f205,f204,f205]) ).
fof(f234,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f308,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f345,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ frontsegP(app(X0,X1),X0) ),
inference(consistent_polarity_flipping,[],[f234]) ).
fof(f383,plain,
( nil = sk4
| neq(sk3,nil)
| frontsegP(sk4,sk3) ),
inference(consistent_polarity_flipping,[],[f220]) ).
fof(f384,plain,
( nil != sk3
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f221]) ).
fof(f385,plain,
( nil != sk3
| neq(sk3,nil)
| frontsegP(sk4,sk3) ),
inference(consistent_polarity_flipping,[],[f222]) ).
fof(f393,definition,
( spl0_1
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f395,plain,
( frontsegP(sk4,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f397,definition,
( spl0_2
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f399,plain,
( neq(sk3,nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f401,definition,
( spl0_3
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f402,plain,
( nil = sk3
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f403,plain,
( nil != sk3
| spl0_3 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f404,plain,
( spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f385,f401,f397,f393]) ).
fof(f406,definition,
( spl0_4
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f408,plain,
( ~ neq(sk4,nil)
| spl0_4 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f409,plain,
( ~ spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f384,f401,f406]) ).
fof(f411,definition,
( spl0_5
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f413,plain,
( nil = sk4
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f414,plain,
( spl0_1
| spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f383,f411,f397,f393]) ).
fof(f416,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f212,f411,f401]) ).
fof(f422,definition,
( spl0_7
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f423,plain,
( ssList(nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f458,plain,
spl0_7,
inference(avatar_split_clause,[],[f8,f422]) ).
fof(f647,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| ~ spl0_2 ),
inference(resolution,[],[f308,f399]) ).
fof(f650,plain,
( ~ ssList(nil)
| nil = sk3
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f647,f202]) ).
fof(f651,plain,
( nil = sk3
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f650,f423]) ).
fof(f654,plain,
( spl0_3
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f651,f422,f397,f401]) ).
fof(f788,plain,
( nil != sk4
| ~ ssList(sk5)
| ~ ssList(sk3)
| nil = sk3 ),
inference(superposition,[],[f122,f208]) ).
fof(f792,plain,
( ~ ssList(sk5)
| ~ ssList(sk3)
| nil = sk3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f788,f413]) ).
fof(f793,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f792,f206]) ).
fof(f794,plain,
( nil = sk3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f793,f202]) ).
fof(f795,plain,
( $false
| spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f794,f403]) ).
fof(f796,plain,
( spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f799,plain,
( ~ neq(nil,nil)
| spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f408,f413]) ).
fof(f822,plain,
( neq(nil,nil)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f399,f402]) ).
fof(f824,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f822,f799]) ).
fof(f825,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f824]) ).
fof(f1316,plain,
! [X0,X1] :
( ~ frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f345,f85]) ).
fof(f1327,plain,
( ~ frontsegP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(sk5) ),
inference(superposition,[],[f1316,f208]) ).
fof(f1332,plain,
( ~ ssList(sk3)
| ~ ssList(sk5)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1327,f395]) ).
fof(f1333,plain,
( ~ ssList(sk5)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1332,f202]) ).
fof(f1334,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1333,f206]) ).
fof(f1335,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1334]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f404]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f409]) ).
cnf(s3,plain,
( spl0_1
| spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f414]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f416]) ).
cnf(s15,plain,
spl0_7,
inference(sat_conversion,[],[f458]) ).
cnf(s17,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_7 ),
inference(sat_conversion,[],[f654]) ).
cnf(s21,plain,
( spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f796]) ).
cnf(s26,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f825]) ).
cnf(s49,plain,
~ spl0_1,
inference(sat_conversion,[],[f1335]) ).
cnf(s54,plain,
( spl0_2
| spl0_5 ),
inference(rat,[],[s3,s49]) ).
cnf(s55,plain,
( spl0_2
| ~ spl0_3 ),
inference(rat,[],[s1,s49]) ).
cnf(s56,plain,
spl0_2,
inference(rat,[],[s21,s55,s54]) ).
cnf(s57,plain,
spl0_3,
inference(rat,[],[s17,s15,s56]) ).
cnf(s58,plain,
spl0_5,
inference(rat,[],[s5,s57]) ).
cnf(s59,plain,
~ spl0_4,
inference(rat,[],[s2,s57]) ).
cnf(s60,plain,
$false,
inference(rat,[],[s26,s57,s56,s58,s59]) ).
fof(f1336,plain,
$false,
inference(avatar_sat_refutation,[],[s60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC100-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37 % Computer : n015.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Sep 28 07:55:46 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 0.13/0.46 % (2459216)Will run a generic schedule for satisfiability detection.
% 0.13/0.46 % (2459222)% WARNING: option uhcvi not known.
% 0.13/0.46 % (2459222)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3205851497:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.46 % (2459221)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1716769179_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.46 % (2459223)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4070372435:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.46 % (2459224)dis+10_1_sil=32000:sp=arity:random_seed=1257150061:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.46 % (2459225)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3454772198:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.46 % (2459226)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2397035001:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.46 % (2459227)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2287155759:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.46 % (2459222) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2459216-2459222"...
% 0.13/0.46 % (2459222)...printing done.
% 0.13/0.46 % (2459222)Refutation found. Thanks to Tanya!
% 0.13/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (2459222)------------------------------
% 0.17/0.46 % (2459222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (2459222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (2459222)CaDiCaL version: 2.1.3
% 0.17/0.46 % (2459222)Termination reason: Refutation
% 0.17/0.46 % (2459222)Time elapsed: 0.014 s
% 0.17/0.46 % (2459222)Peak memory usage: 13 MB
% 0.17/0.46 % (2459222)Instructions burned: 38 (million)
% 0.17/0.46 % (2459216)Success in time 0.041 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------