%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC402-1 : 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 01:05:54 PM UTC 2026
% Result : Unsatisfiable 0.95s 0.39s
% Output : Refutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 37 ( 18 unt; 1 def)
% Number of atoms : 86 ( 4 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 100 ( 51 ~; 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 : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause141) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
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,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f216,negated_conjecture,
memberP(sk1,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f217,negated_conjecture,
~ memberP(sk2,sk7),
file('/export/starexec/sandbox2/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(f445,definition,
( spl0_13
<=> ssList(app(sk5,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f446,plain,
( ssList(app(sk5,sk3))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f447,plain,
( ~ ssList(app(sk5,sk3))
| spl0_13 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f477,plain,
( ~ ssList(sk5)
| ~ ssList(sk3)
| spl0_13 ),
inference(resolution,[],[f447,f85]) ).
fof(f478,plain,
( ~ ssList(sk3)
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f477,f206]) ).
fof(f479,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f478,f202]) ).
fof(f480,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f479]) ).
fof(f1081,plain,
! [X0] :
( memberP(sk4,X0)
| ~ ssList(sk6)
| ~ ssList(app(sk5,sk3))
| ~ ssItem(X0)
| ~ memberP(app(sk5,sk3),X0) ),
inference(superposition,[],[f151,f209]) ).
fof(f1088,plain,
! [X0] :
( memberP(sk4,X0)
| ~ ssList(app(sk5,sk3))
| ~ ssItem(X0)
| ~ memberP(app(sk5,sk3),X0) ),
inference(forward_subsumption_resolution,[],[f1081,f207]) ).
fof(f1105,plain,
( ! [X0] :
( ~ memberP(app(sk5,sk3),X0)
| ~ ssItem(X0)
| memberP(sk4,X0) )
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1088,f446]) ).
fof(f1211,plain,
( ! [X0] :
( ~ ssList(sk3)
| ~ ssList(sk5)
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(sk4,X0) )
| ~ spl0_13 ),
inference(resolution,[],[f152,f1105]) ).
fof(f1307,plain,
( ! [X0] :
( ~ ssList(sk3)
| ~ ssList(sk5)
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| memberP(sk4,X0) )
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f1211]) ).
fof(f1329,plain,
( ! [X0] :
( ~ ssList(sk5)
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| memberP(sk4,X0) )
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1307,f202]) ).
fof(f1351,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(sk4,X0) )
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1329,f206]) ).
fof(f1357,plain,
( ~ ssItem(sk7)
| memberP(sk4,sk7)
| ~ spl0_13 ),
inference(resolution,[],[f1351,f221]) ).
fof(f1358,plain,
( memberP(sk4,sk7)
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1357,f215]) ).
fof(f1359,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1358,f222]) ).
fof(f1360,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f1359]) ).
cnf(s11,plain,
spl0_13,
inference(sat_conversion,[],[f480]) ).
cnf(s40,plain,
~ spl0_13,
inference(sat_conversion,[],[f1360]) ).
cnf(s44,plain,
$false,
inference(rat,[],[s11,s40]) ).
fof(f1361,plain,
$false,
inference(avatar_sat_refutation,[],[s44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC402-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n014.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 09:30:31 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.95/0.39 % (1657498)Will run a generic schedule for satisfiability detection.
% 0.95/0.39 % (1657504)% WARNING: option uhcvi not known.
% 0.95/0.39 % (1657504)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3394816584:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.95/0.39 % (1657503)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1718508348_2999 on theBenchmark for (2999ds/0Mi)
% 0.95/0.39 % (1657506)dis+10_1_sil=32000:sp=arity:random_seed=1328279863:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.95/0.39 % (1657505)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3887308994:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.95/0.39 % (1657507)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1183389931:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.95/0.39 % (1657508)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=610162719:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.95/0.39 % (1657509)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2938315592:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.95/0.39 % TRYING [1]
% 0.95/0.39 % TRYING [2]
% 0.95/0.39 % TRYING [3]
% 0.95/0.39 % TRYING [4]
% 0.95/0.39 % (1657507)Instruction limit reached!
% 0.95/0.39 % (1657507)------------------------------
% 0.95/0.39 % (1657507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.39 % (1657507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.39 % (1657507)CaDiCaL version: 2.1.3
% 0.95/0.39 % (1657507)Termination reason: Instruction limit
% 0.95/0.39 % (1657507)Termination phase: Saturation
% 0.95/0.39 % (1657507)Time elapsed: 0.061 s
% 0.95/0.39 % (1657507)Peak memory usage: 13 MB
% 0.95/0.39 % (1657507)Instructions burned: 117 (million)
% 0.95/0.39 % (1657506)Instruction limit reached!
% 0.95/0.39 % (1657506)------------------------------
% 0.95/0.39 % (1657506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.39 % (1657506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.39 % (1657506)CaDiCaL version: 2.1.3
% 0.95/0.39 % (1657506)Termination reason: Instruction limit
% 0.95/0.39 % (1657506)Termination phase: Saturation
% 0.95/0.39 % (1657506)Time elapsed: 0.062 s
% 0.95/0.39 % (1657506)Peak memory usage: 13 MB
% 0.95/0.39 % (1657506)Instructions burned: 104 (million)
% 0.95/0.39 % (1657508)Instruction limit reached!
% 0.95/0.39 % (1657508)------------------------------
% 0.95/0.39 % (1657508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.39 % (1657508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.39 % (1657508)CaDiCaL version: 2.1.3
% 0.95/0.39 % (1657508)Termination reason: Instruction limit
% 0.95/0.39 % (1657508)Termination phase: Saturation
% 0.95/0.39 % (1657508)Time elapsed: 0.069 s
% 0.95/0.39 % (1657508)Peak memory usage: 14 MB
% 0.95/0.39 % (1657508)Instructions burned: 131 (million)
% 0.95/0.39 % (1657542)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=593250826:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.95/0.39 % (1657541)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2362685779:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.95/0.39 % (1657548)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=2039100845:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.95/0.39 % TRYING [1]
% 0.95/0.39 % TRYING [2]
% 0.95/0.39 % (1657509)Instruction limit reached!
% 0.95/0.39 % (1657509)------------------------------
% 0.95/0.39 % (1657509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.39 % (1657509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.39 % (1657509)CaDiCaL version: 2.1.3
% 0.95/0.39 % (1657509)Termination reason: Instruction limit
% 0.95/0.39 % (1657509)Termination phase: Saturation
% 0.95/0.39 % (1657509)Time elapsed: 0.093 s
% 0.95/0.39 % (1657509)Peak memory usage: 14 MB
% 0.95/0.39 % (1657509)Instructions burned: 159 (million)
% 0.95/0.39 % TRYING [5]
% 0.95/0.39 % TRYING [3]
% 0.95/0.39 % (1657564)ott-21_1_sil=16000:fs=off:random_seed=469166424:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.95/0.39 % TRYING [4]
% 0.95/0.39 % (1657548) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1657498-1657548"...
% 0.95/0.39 % (1657548)...printing done.
% 0.95/0.39 % (1657548)Refutation found. Thanks to Tanya!
% 0.95/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.95/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.95/0.39 % (1657548)------------------------------
% 0.95/0.39 % (1657548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.39 % (1657548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.39 % (1657548)CaDiCaL version: 2.1.3
% 0.95/0.39 % (1657548)Termination reason: Refutation
% 0.95/0.39 % (1657548)Time elapsed: 0.031 s
% 0.95/0.39 % (1657548)Peak memory usage: 13 MB
% 0.95/0.39 % (1657548)Instructions burned: 47 (million)
% 0.95/0.39 % (1657498)Success in time 0.169 s
% 0.95/0.39 % Vampire exiting
%------------------------------------------------------------------------------