%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC380-1 : 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 : n004.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 0.51s 0.35s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 67 ( 13 unt; 7 def)
% Number of atoms : 167 ( 23 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 176 ( 76 ~; 93 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
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(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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f215,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) != sk1
| ~ memberP(sk2,X0)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f216,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f218,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f219,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f218]) ).
fof(f220,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f221,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f220]) ).
fof(f224,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f231,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) != sk3
| ~ memberP(sk4,X0)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f215,f205,f204]) ).
fof(f241,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f370,plain,
! [X0,X1] :
( ssItem(X0)
| ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f388,plain,
! [X2,X1] :
( ssList(X2)
| ssItem(X1)
| ssItem(X1)
| ~ memberP(cons(X1,X2),X1) ),
inference(consistent_polarity_flipping,[],[f241]) ).
fof(f443,plain,
! [X0] :
( ssItem(X0)
| cons(X0,nil) != sk3
| memberP(sk4,X0)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f231]) ).
fof(f444,plain,
( ~ ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f216]) ).
fof(f445,plain,
( ~ ssList(sk6)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f217]) ).
fof(f446,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f449,plain,
! [X2,X1] :
( ssItem(X1)
| ssList(X2)
| ~ memberP(cons(X1,X2),X1) ),
inference(duplicate_literal_removal,[],[f388]) ).
fof(f454,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f458,definition,
( spl0_2
<=> sk4 = app(cons(sk5,nil),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f460,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f461,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f221,f458,f454]) ).
fof(f463,definition,
( spl0_3
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f465,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f466,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f219,f463,f454]) ).
fof(f468,definition,
( spl0_4
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f470,plain,
( ~ ssList(sk6)
| spl0_4 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f471,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f445,f468,f454]) ).
fof(f473,definition,
( spl0_5
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f475,plain,
( ~ ssItem(sk5)
| spl0_5 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f476,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f444,f473,f454]) ).
fof(f478,definition,
( spl0_6
<=> ! [X0] :
( ssItem(X0)
| memberP(sk4,X0)
| cons(X0,nil) != sk3 ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f479,plain,
( ! [X0] :
( cons(X0,nil) != sk3
| memberP(sk4,X0)
| ssItem(X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f480,plain,
( ~ spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f443,f478,f454]) ).
fof(f486,plain,
spl0_1,
inference(avatar_split_clause,[],[f446,f454]) ).
fof(f530,plain,
( sk3 != sk3
| memberP(sk4,sk5)
| ssItem(sk5)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f479,f465]) ).
fof(f531,plain,
( memberP(sk4,sk5)
| ssItem(sk5)
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f530]) ).
fof(f533,definition,
( spl0_16
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f536,plain,
( spl0_5
| spl0_16
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f531,f478,f463,f533,f473]) ).
fof(f1739,plain,
( ! [X0] :
( ~ memberP(cons(sk5,X0),sk5)
| ssList(X0) )
| spl0_5 ),
inference(resolution,[],[f449,f475]) ).
fof(f3729,plain,
( ! [X0] :
( ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| spl0_5 ),
inference(resolution,[],[f370,f475]) ).
fof(f4165,plain,
( app(cons(sk5,nil),sk6) = cons(sk5,sk6)
| spl0_4
| spl0_5 ),
inference(resolution,[],[f3729,f470]) ).
fof(f4187,plain,
( sk4 = cons(sk5,sk6)
| ~ spl0_2
| spl0_4
| spl0_5 ),
inference(superposition,[],[f460,f4165]) ).
fof(f4218,plain,
( ~ memberP(sk4,sk5)
| ssList(sk6)
| ~ spl0_2
| spl0_4
| spl0_5 ),
inference(superposition,[],[f1739,f4187]) ).
fof(f4220,plain,
( spl0_4
| ~ spl0_16
| ~ spl0_2
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f4218,f473,f468,f458,f533,f468]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f461]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f466]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f471]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f476]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f480]) ).
cnf(s11,plain,
spl0_1,
inference(sat_conversion,[],[f486]) ).
cnf(s22,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f536]) ).
cnf(s151,plain,
( spl0_4
| ~ spl0_2
| spl0_4
| spl0_5
| ~ spl0_16 ),
inference(sat_conversion,[],[f4220]) ).
cnf(s152,plain,
( ~ spl0_2
| spl0_4
| spl0_5
| ~ spl0_16 ),
inference(rat,[],[s151]) ).
cnf(s170,plain,
spl0_6,
inference(rat,[],[s5,s11]) ).
cnf(s171,plain,
~ spl0_5,
inference(rat,[],[s4,s11]) ).
cnf(s215,plain,
~ spl0_4,
inference(rat,[],[s3,s11]) ).
cnf(s229,plain,
spl0_3,
inference(rat,[],[s2,s11]) ).
cnf(s238,plain,
spl0_16,
inference(rat,[],[s22,s171,s170,s229]) ).
cnf(s246,plain,
~ spl0_2,
inference(rat,[],[s152,s215,s171,s238]) ).
cnf(s251,plain,
$false,
inference(rat,[],[s1,s246,s11]) ).
fof(f4221,plain,
$false,
inference(avatar_sat_refutation,[],[s251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC380-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.17 % Computer : n004.cluster.edu
% 0.13/0.17 % Model : x86_64 x86_64
% 0.13/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.17 % Memory : 8046.5625MB
% 0.13/0.17 % OS : Linux 6.8.0-71-generic
% 0.13/0.17 % CPULimit : 300
% 0.13/0.17 % WCLimit : 300
% 0.13/0.17 % DateTime : Mon Sep 28 09:22:37 UTC 2026
% 0.13/0.17 % CPUTime :
% 0.13/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.20 Running first-order model finding
% 0.13/0.20 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
% 0.51/0.35 % (227495)Will run a generic schedule for satisfiability detection.
% 0.51/0.35 % (227503)dis+10_1_sil=32000:sp=arity:random_seed=2636474835:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.51/0.35 % (227500)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2636095076_2999 on theBenchmark for (2999ds/0Mi)
% 0.51/0.35 % (227502)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4046272428:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.51/0.35 % (227504)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2813824839:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.51/0.35 % (227505)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2226647969:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.51/0.35 % (227506)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=307508849:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.51/0.35 % (227501)% WARNING: option uhcvi not known.
% 0.51/0.35 % (227501)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2754460242:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.51/0.35 % TRYING [1]
% 0.51/0.35 % TRYING [2]
% 0.51/0.35 % TRYING [3]
% 0.51/0.35 % (227503)Instruction limit reached!
% 0.51/0.35 % (227503)------------------------------
% 0.51/0.35 % (227503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.35 % (227503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.35 % (227503)CaDiCaL version: 2.1.3
% 0.51/0.35 % (227503)Termination reason: Instruction limit
% 0.51/0.35 % (227503)Termination phase: Saturation
% 0.51/0.35 % (227503)Time elapsed: 0.034 s
% 0.51/0.35 % (227503)Peak memory usage: 13 MB
% 0.51/0.35 % (227503)Instructions burned: 105 (million)
% 0.51/0.35 % (227514)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=545108791:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.51/0.35 % TRYING [4]
% 0.51/0.35 % TRYING [1]
% 0.51/0.35 % TRYING [2]
% 0.51/0.35 % TRYING [3]
% 0.51/0.35 % TRYING [4]
% 0.51/0.35 % (227504)Instruction limit reached!
% 0.51/0.35 % (227504)------------------------------
% 0.51/0.35 % (227504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.35 % (227504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.35 % (227504)CaDiCaL version: 2.1.3
% 0.51/0.35 % (227504)Termination reason: Instruction limit
% 0.51/0.35 % (227504)Termination phase: Saturation
% 0.51/0.35 % (227504)Time elapsed: 0.062 s
% 0.51/0.35 % (227504)Peak memory usage: 13 MB
% 0.51/0.35 % (227504)Instructions burned: 116 (million)
% 0.51/0.35 % (227505)Instruction limit reached!
% 0.51/0.35 % (227505)------------------------------
% 0.51/0.35 % (227505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.35 % (227505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.35 % (227505)CaDiCaL version: 2.1.3
% 0.51/0.35 % (227505)Termination reason: Instruction limit
% 0.51/0.35 % (227505)Termination phase: Saturation
% 0.51/0.35 % (227505)Time elapsed: 0.067 s
% 0.51/0.35 % (227505)Peak memory usage: 14 MB
% 0.51/0.35 % (227505)Instructions burned: 131 (million)
% 0.51/0.35 % (227516)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=986363273:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.51/0.35 % (227517)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3908320002:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.51/0.35 % TRYING [5]
% 0.51/0.35 % (227506) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-227495-227506"...
% 0.51/0.35 % (227517) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-227495-227517"...
% 0.51/0.35 % (227506)...printing done.
% 0.51/0.35 % (227517)...printing done.
% 0.51/0.35 % (227506)Refutation found. Thanks to Tanya!
% 0.51/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.51/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.35 % (227506)------------------------------
% 0.51/0.35 % (227506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.35 % (227506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.35 % (227506)CaDiCaL version: 2.1.3
% 0.51/0.35 % (227506)Termination reason: Refutation
% 0.51/0.35 % (227506)Time elapsed: 0.095 s
% 0.51/0.35 % (227506)Peak memory usage: 15 MB
% 0.51/0.35 % (227506)Instructions burned: 157 (million)
% 0.51/0.35 % (227495)Success in time 0.141 s
% 0.51/0.35 % Vampire exiting
%------------------------------------------------------------------------------