%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC008-1 : 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 : n008.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 01:04:16 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.55s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 57 ( 24 unt; 7 def)
% Number of atoms : 117 ( 22 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 121 ( 61 ~; 53 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f143,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
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,
frontsegP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk2
| app(X0,X2) != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f212,plain,
! [X2,X0,X1] :
( app(X0,X2) != sk3
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk4
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f208,f204,f205]) ).
fof(f354,definition,
( spl0_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f390,plain,
spl0_2,
inference(avatar_split_clause,[],[f8,f354]) ).
fof(f595,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f202]) ).
fof(f596,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f597,plain,
! [X0] :
( sk3 != sk3
| ~ ssList(X0)
| ~ ssList(nil)
| sk4 != app(app(sk3,X0),nil)
| ~ ssList(sk3) ),
inference(superposition,[],[f212,f595]) ).
fof(f598,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| sk4 != app(app(sk3,X0),nil)
| ~ ssList(sk3) ),
inference(trivial_inequality_removal,[],[f597]) ).
fof(f600,definition,
( spl0_12
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f602,plain,
( ~ ssList(sk3)
| spl0_12 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f604,definition,
( spl0_13
<=> ! [X0] :
( ~ ssList(X0)
| sk4 != app(app(sk3,X0),nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f605,plain,
( ! [X0] :
( sk4 != app(app(sk3,X0),nil)
| ~ ssList(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f606,plain,
( ~ spl0_12
| ~ spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f598,f604,f354,f600]) ).
fof(f607,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f602,f202]) ).
fof(f608,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f611,definition,
( spl0_14
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f613,plain,
( ~ ssList(sk4)
| spl0_14 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f622,plain,
( $false
| spl0_14 ),
inference(resolution,[],[f613,f203]) ).
fof(f623,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f2282,definition,
( spl0_79
<=> sk4 = app(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f2284,plain,
( sk4 != app(sk4,nil)
| spl0_79 ),
inference(avatar_component_clause,[],[f2282]) ).
fof(f2291,plain,
( sk4 != sk4
| spl0_79 ),
inference(superposition,[],[f2284,f596]) ).
fof(f2292,plain,
( $false
| spl0_79 ),
inference(trivial_inequality_removal,[],[f2291]) ).
fof(f2293,plain,
spl0_79,
inference(avatar_contradiction_clause,[],[f2292]) ).
fof(f3928,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3)) ),
inference(resolution,[],[f143,f206]) ).
fof(f3934,definition,
( spl0_163
<=> sk4 = app(sk3,skaf45(sk4,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f3936,plain,
( sk4 = app(sk3,skaf45(sk4,sk3))
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f3934]) ).
fof(f3937,plain,
( spl0_163
| ~ spl0_14
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f3928,f600,f611,f3934]) ).
fof(f3954,plain,
( sk4 != app(sk4,nil)
| ~ ssList(skaf45(sk4,sk3))
| ~ spl0_13
| ~ spl0_163 ),
inference(superposition,[],[f605,f3936]) ).
fof(f3962,definition,
( spl0_167
<=> ssList(skaf45(sk4,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
fof(f3964,plain,
( ~ ssList(skaf45(sk4,sk3))
| spl0_167 ),
inference(avatar_component_clause,[],[f3962]) ).
fof(f3970,plain,
( ~ spl0_167
| ~ spl0_79
| ~ spl0_13
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f3954,f3934,f604,f2282,f3962]) ).
fof(f3971,plain,
( $false
| spl0_167 ),
inference(resolution,[],[f3964,f51]) ).
fof(f3972,plain,
spl0_167,
inference(avatar_contradiction_clause,[],[f3971]) ).
cnf(s10,plain,
spl0_2,
inference(sat_conversion,[],[f390]) ).
cnf(s12,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f606]) ).
cnf(s13,plain,
spl0_12,
inference(sat_conversion,[],[f608]) ).
cnf(s15,plain,
spl0_14,
inference(sat_conversion,[],[f623]) ).
cnf(s78,plain,
spl0_79,
inference(sat_conversion,[],[f2293]) ).
cnf(s173,plain,
( ~ spl0_12
| ~ spl0_14
| spl0_163 ),
inference(sat_conversion,[],[f3937]) ).
cnf(s178,plain,
( ~ spl0_13
| ~ spl0_79
| ~ spl0_163
| ~ spl0_167 ),
inference(sat_conversion,[],[f3970]) ).
cnf(s179,plain,
spl0_167,
inference(sat_conversion,[],[f3972]) ).
cnf(s180,plain,
( ~ spl0_13
| ~ spl0_79
| ~ spl0_163 ),
inference(rat,[],[s178,s179]) ).
cnf(s187,plain,
spl0_163,
inference(rat,[],[s173,s15,s13]) ).
cnf(s189,plain,
~ spl0_13,
inference(rat,[],[s180,s78,s187]) ).
cnf(s191,plain,
~ spl0_2,
inference(rat,[],[s12,s189,s13]) ).
cnf(s192,plain,
$false,
inference(rat,[],[s10,s191]) ).
fof(f3973,plain,
$false,
inference(avatar_sat_refutation,[],[s192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC008-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:26:09 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.16/0.55 % (2076210)Will run a generic schedule for satisfiability detection.
% 0.16/0.55 % (2076220)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3468468230:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.55 % (2076216)% WARNING: option uhcvi not known.
% 0.16/0.55 % (2076216)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2754907696:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.55 % (2076215)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4135288929_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.55 % (2076217)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4139716867:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.55 % (2076218)dis+10_1_sil=32000:sp=arity:random_seed=3704296736:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.55 % (2076219)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3592290317:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.55 % (2076221)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2800437132:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.55 % TRYING [1]
% 0.16/0.55 % TRYING [2]
% 0.16/0.55 % TRYING [3]
% 0.16/0.55 % (2076220)Instruction limit reached!
% 0.16/0.55 % (2076220)------------------------------
% 0.16/0.55 % (2076220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.55 % (2076220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.55 % (2076220)CaDiCaL version: 2.1.3
% 0.16/0.55 % (2076220)Termination reason: Instruction limit
% 0.16/0.55 % (2076220)Termination phase: Saturation
% 0.16/0.55 % (2076220)Time elapsed: 0.037 s
% 0.16/0.55 % (2076220)Peak memory usage: 14 MB
% 0.16/0.55 % (2076220)Instructions burned: 133 (million)
% 0.16/0.55 % TRYING [4]
% 0.16/0.55 % (2076229)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=320204379:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.55 % TRYING [1]
% 0.16/0.55 % TRYING [2]
% 0.16/0.55 % TRYING [3]
% 0.16/0.55 % (2076218)Instruction limit reached!
% 0.16/0.55 % (2076218)------------------------------
% 0.16/0.55 % (2076218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.55 % (2076218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.55 % (2076218)CaDiCaL version: 2.1.3
% 0.16/0.55 % (2076218)Termination reason: Instruction limit
% 0.16/0.55 % (2076218)Termination phase: Saturation
% 0.16/0.55 % (2076218)Time elapsed: 0.060 s
% 0.16/0.55 % (2076218)Peak memory usage: 13 MB
% 0.16/0.55 % (2076218)Instructions burned: 103 (million)
% 0.16/0.55 % (2076219)Instruction limit reached!
% 0.16/0.55 % (2076219)------------------------------
% 0.16/0.55 % (2076219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.55 % (2076219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.55 % (2076219)CaDiCaL version: 2.1.3
% 0.16/0.55 % (2076219)Termination reason: Instruction limit
% 0.16/0.55 % (2076219)Termination phase: Saturation
% 0.16/0.55 % (2076219)Time elapsed: 0.060 s
% 0.16/0.55 % (2076219)Peak memory usage: 13 MB
% 0.16/0.55 % (2076219)Instructions burned: 116 (million)
% 0.16/0.55 % TRYING [4]
% 0.16/0.55 % (2076232)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=3164486670:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.16/0.55 % (2076231)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3796716585:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.16/0.55 % (2076221) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2076210-2076221"...
% 0.16/0.55 % (2076221)...printing done.
% 0.16/0.55 % (2076221)Refutation found. Thanks to Tanya!
% 0.16/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.55 % (2076221)------------------------------
% 0.16/0.55 % (2076221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.55 % (2076221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.55 % (2076221)CaDiCaL version: 2.1.3
% 0.16/0.55 % (2076221)Termination reason: Refutation
% 0.16/0.55 % (2076221)Time elapsed: 0.086 s
% 0.16/0.55 % (2076221)Peak memory usage: 15 MB
% 0.16/0.55 % (2076221)Instructions burned: 142 (million)
% 0.16/0.55 % (2076210)Success in time 0.132 s
% 0.16/0.55 % Vampire exiting
%------------------------------------------------------------------------------