%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC399-1 : 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 : n006.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 01:05:53 PM UTC 2026
% Result : Unsatisfiable 0.73s 0.39s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 21 unt; 1 def)
% Number of atoms : 91 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 93 ( 44 ~; 48 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause141) ).
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,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
sk4 = app(app(sk5,sk3),sk6),
inference(reorient_equations,[],[f208]) ).
fof(f215,negated_conjecture,
ssItem(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f216,negated_conjecture,
memberP(sk1,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,negated_conjecture,
~ memberP(sk2,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f221,plain,
memberP(sk3,sk7),
inference(definition_unfolding,[],[f216,f205]) ).
fof(f222,plain,
~ memberP(sk4,sk7),
inference(definition_unfolding,[],[f217,f204]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ssItem(X1)
| memberP(X0,X1) ),
inference(consistent_polarity_flipping,[],[f151]) ).
fof(f328,plain,
! [X2,X0,X1] :
( ~ memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ssItem(X1)
| memberP(X0,X1) ),
inference(consistent_polarity_flipping,[],[f152]) ).
fof(f360,plain,
~ ssItem(sk7),
inference(consistent_polarity_flipping,[],[f215]) ).
fof(f361,plain,
~ memberP(sk3,sk7),
inference(consistent_polarity_flipping,[],[f221]) ).
fof(f362,plain,
memberP(sk4,sk7),
inference(consistent_polarity_flipping,[],[f222]) ).
fof(f1048,definition,
( spl0_37
<=> ssList(app(sk5,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f1049,plain,
( ssList(app(sk5,sk3))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1050,plain,
( ~ ssList(app(sk5,sk3))
| spl0_37 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1089,plain,
( ~ ssList(sk5)
| ~ ssList(sk3)
| spl0_37 ),
inference(resolution,[],[f1050,f85]) ).
fof(f1090,plain,
( ~ ssList(sk3)
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f1089,f206]) ).
fof(f1091,plain,
( $false
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f1090,f202]) ).
fof(f1092,plain,
spl0_37,
inference(avatar_contradiction_clause,[],[f1091]) ).
fof(f1403,plain,
! [X0] :
( ~ memberP(sk4,X0)
| ~ ssList(sk6)
| ~ ssList(app(sk5,sk3))
| ssItem(X0)
| memberP(app(sk5,sk3),X0) ),
inference(superposition,[],[f327,f209]) ).
fof(f1409,plain,
! [X0] :
( ~ memberP(sk4,X0)
| ~ ssList(app(sk5,sk3))
| ssItem(X0)
| memberP(app(sk5,sk3),X0) ),
inference(forward_subsumption_resolution,[],[f1403,f207]) ).
fof(f1410,plain,
( ! [X0] :
( ~ memberP(sk4,X0)
| ssItem(X0)
| memberP(app(sk5,sk3),X0) )
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1409,f1049]) ).
fof(f3381,plain,
( ssItem(sk7)
| memberP(app(sk5,sk3),sk7)
| ~ spl0_37 ),
inference(resolution,[],[f1410,f362]) ).
fof(f3385,plain,
( memberP(app(sk5,sk3),sk7)
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f3381,f360]) ).
fof(f4638,plain,
( ~ ssList(sk3)
| ~ ssList(sk5)
| ssItem(sk7)
| memberP(sk3,sk7)
| ~ spl0_37 ),
inference(resolution,[],[f3385,f328]) ).
fof(f4647,plain,
( ~ ssList(sk5)
| ssItem(sk7)
| memberP(sk3,sk7)
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f4638,f202]) ).
fof(f4651,plain,
( ssItem(sk7)
| memberP(sk3,sk7)
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f4647,f206]) ).
fof(f4653,plain,
( memberP(sk3,sk7)
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f4651,f360]) ).
fof(f4654,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f4653,f361]) ).
fof(f4655,plain,
~ spl0_37,
inference(avatar_contradiction_clause,[],[f4654]) ).
cnf(s40,plain,
spl0_37,
inference(sat_conversion,[],[f1092]) ).
cnf(s202,plain,
~ spl0_37,
inference(sat_conversion,[],[f4655]) ).
cnf(s203,plain,
$false,
inference(rat,[],[s40,s202]) ).
fof(f4656,plain,
$false,
inference(avatar_sat_refutation,[],[s203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC399-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 % Computer : n006.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 09:28:10 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 Running first-order model finding
% 0.08/0.24 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
% 0.73/0.39 % (3837111)Will run a generic schedule for satisfiability detection.
% 0.73/0.39 % (3837120)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1001743976:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.73/0.39 % (3837117)% WARNING: option uhcvi not known.
% 0.73/0.39 % (3837116)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=986746558_2999 on theBenchmark for (2999ds/0Mi)
% 0.73/0.39 % (3837117)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3051952372:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.73/0.39 % (3837118)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2930959487:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.73/0.39 % (3837119)dis+10_1_sil=32000:sp=arity:random_seed=1002713353:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.73/0.39 % (3837121)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=557451340:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.73/0.39 % (3837122)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2175567775:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.73/0.39 % TRYING [1]
% 0.73/0.39 % TRYING [2]
% 0.73/0.39 % TRYING [3]
% 0.73/0.39 % (3837120)Instruction limit reached!
% 0.73/0.39 % (3837120)------------------------------
% 0.73/0.39 % (3837120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (3837120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (3837120)CaDiCaL version: 2.1.3
% 0.73/0.39 % (3837120)Termination reason: Instruction limit
% 0.73/0.39 % (3837120)Termination phase: Saturation
% 0.73/0.39 % (3837120)Time elapsed: 0.032 s
% 0.73/0.39 % (3837120)Peak memory usage: 13 MB
% 0.73/0.39 % (3837120)Instructions burned: 116 (million)
% 0.73/0.39 % (3837130)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1490367816:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.73/0.39 % TRYING [4]
% 0.73/0.39 % TRYING [1]
% 0.73/0.39 % TRYING [2]
% 0.73/0.39 % TRYING [3]
% 0.73/0.39 % TRYING [4]
% 0.73/0.39 % (3837119)Instruction limit reached!
% 0.73/0.39 % (3837119)------------------------------
% 0.73/0.39 % (3837119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (3837119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (3837119)CaDiCaL version: 2.1.3
% 0.73/0.39 % (3837119)Termination reason: Instruction limit
% 0.73/0.39 % (3837119)Termination phase: Saturation
% 0.73/0.39 % (3837119)Time elapsed: 0.059 s
% 0.73/0.39 % (3837119)Peak memory usage: 13 MB
% 0.73/0.39 % (3837119)Instructions burned: 104 (million)
% 0.73/0.39 % (3837121)Instruction limit reached!
% 0.73/0.39 % (3837121)------------------------------
% 0.73/0.39 % (3837121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (3837121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (3837121)CaDiCaL version: 2.1.3
% 0.73/0.39 % (3837121)Termination reason: Instruction limit
% 0.73/0.39 % (3837121)Termination phase: Saturation
% 0.73/0.39 % (3837121)Time elapsed: 0.066 s
% 0.73/0.39 % (3837121)Peak memory usage: 14 MB
% 0.73/0.39 % (3837121)Instructions burned: 132 (million)
% 0.73/0.39 % (3837132)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4217542751:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.73/0.39 % (3837133)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=1234353974:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.73/0.39 % TRYING [5]
% 0.73/0.39 % (3837122)Instruction limit reached!
% 0.73/0.39 % (3837122)------------------------------
% 0.73/0.39 % (3837122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (3837122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (3837122)CaDiCaL version: 2.1.3
% 0.73/0.39 % (3837122)Termination reason: Instruction limit
% 0.73/0.39 % (3837122)Termination phase: Saturation
% 0.73/0.39 % (3837122)Time elapsed: 0.092 s
% 0.73/0.39 % (3837122)Peak memory usage: 14 MB
% 0.73/0.39 % (3837122)Instructions burned: 160 (million)
% 0.73/0.39 % (3837117) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3837111-3837117"...
% 0.73/0.39 % (3837117)...printing done.
% 0.73/0.39 % (3837117)Refutation found. Thanks to Tanya!
% 0.73/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.73/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.73/0.39 % (3837117)------------------------------
% 0.73/0.39 % (3837117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.39 % (3837117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.39 % (3837117)CaDiCaL version: 2.1.3
% 0.73/0.39 % (3837117)Termination reason: Refutation
% 0.73/0.39 % (3837117)Time elapsed: 0.097 s
% 0.73/0.39 % (3837117)Peak memory usage: 14 MB
% 0.73/0.39 % (3837117)Instructions burned: 149 (million)
% 0.73/0.39 % (3837111)Success in time 0.139 s
% 0.73/0.39 % Vampire exiting
%------------------------------------------------------------------------------