%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC024-1 : 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 : n009.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 01:04:20 PM UTC 2026
% Result : Unsatisfiable 0.38s 0.47s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of formulae : 78 ( 22 unt; 6 def)
% Number of atoms : 178 ( 32 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 198 ( 98 ~; 94 |; 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 : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause61) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f123,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(reorient_equations,[],[f123]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).
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,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ frontsegP(sk2,X0)
| ~ frontsegP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f209]) ).
fof(f214,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f217,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f218,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f230,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f250,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f252,plain,
( nil != sk3
| spl0_1 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f254,definition,
( spl0_2
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f257,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f214,f254,f250]) ).
fof(f263,definition,
( spl0_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f264,plain,
( ssList(nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f299,plain,
spl0_4,
inference(avatar_split_clause,[],[f8,f263]) ).
fof(f300,plain,
( ~ ssList(sk4)
| ~ frontsegP(sk4,sk4)
| ~ frontsegP(sk3,sk4) ),
inference(resolution,[],[f218,f217]) ).
fof(f301,plain,
( ~ frontsegP(sk4,sk4)
| ~ frontsegP(sk3,sk4) ),
inference(forward_subsumption_resolution,[],[f300,f203]) ).
fof(f303,definition,
( spl0_12
<=> frontsegP(sk3,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f305,plain,
( ~ frontsegP(sk3,sk4)
| spl0_12 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f307,definition,
( spl0_13
<=> frontsegP(sk4,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f309,plain,
( ~ frontsegP(sk4,sk4)
| spl0_13 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f301,f307,f303]) ).
fof(f351,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f202]) ).
fof(f506,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0) ),
inference(resolution,[],[f102,f218]) ).
fof(f509,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0) ),
inference(duplicate_literal_removal,[],[f506]) ).
fof(f510,plain,
( ! [X0] :
( ~ frontsegP(sk4,X0)
| nil = X0
| ~ ssList(X0)
| ~ frontsegP(sk3,X0) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f509,f264]) ).
fof(f576,definition,
( spl0_14
<=> nil = sk5 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f578,plain,
( nil = sk5
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f602,plain,
( sk4 = app(sk3,nil)
| ~ spl0_14 ),
inference(superposition,[],[f210,f578]) ).
fof(f607,plain,
( sk3 = sk4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f602,f351]) ).
fof(f648,plain,
( ~ frontsegP(sk3,sk3)
| spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f305,f607]) ).
fof(f680,plain,
( nil != sk4
| ~ ssList(sk5)
| ~ ssList(sk3)
| nil = sk5 ),
inference(superposition,[],[f124,f210]) ).
fof(f681,plain,
( ~ ssList(sk3)
| spl0_12
| ~ spl0_14 ),
inference(resolution,[],[f648,f61]) ).
fof(f682,plain,
( $false
| spl0_12
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f681,f202]) ).
fof(f683,plain,
( spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f698,plain,
( nil != sk4
| ~ ssList(sk3)
| nil = sk5 ),
inference(forward_subsumption_resolution,[],[f680,f208]) ).
fof(f701,plain,
( nil != sk4
| nil = sk5 ),
inference(forward_subsumption_resolution,[],[f698,f202]) ).
fof(f704,plain,
( spl0_14
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f701,f254,f576]) ).
fof(f706,plain,
( ~ ssList(sk4)
| spl0_13 ),
inference(resolution,[],[f309,f61]) ).
fof(f707,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f706,f203]) ).
fof(f708,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f707]) ).
fof(f1221,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f230,f85]) ).
fof(f1241,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(sk5) ),
inference(superposition,[],[f1221,f210]) ).
fof(f1247,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk5) ),
inference(forward_subsumption_resolution,[],[f1241,f202]) ).
fof(f1249,plain,
frontsegP(sk4,sk3),
inference(forward_subsumption_resolution,[],[f1247,f208]) ).
fof(f1250,plain,
( nil = sk3
| ~ ssList(sk3)
| ~ frontsegP(sk3,sk3)
| ~ spl0_4 ),
inference(resolution,[],[f1249,f510]) ).
fof(f1252,plain,
( ~ ssList(sk3)
| ~ frontsegP(sk3,sk3)
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1250,f252]) ).
fof(f1253,plain,
( ~ frontsegP(sk3,sk3)
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1252,f202]) ).
fof(f1307,plain,
( ~ ssList(sk3)
| spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f1253,f61]) ).
fof(f1308,plain,
( $false
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1307,f202]) ).
fof(f1309,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1308]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f257]) ).
cnf(s11,plain,
spl0_4,
inference(sat_conversion,[],[f299]) ).
cnf(s12,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f310]) ).
cnf(s16,plain,
( spl0_12
| ~ spl0_14 ),
inference(sat_conversion,[],[f683]) ).
cnf(s21,plain,
( ~ spl0_2
| spl0_14 ),
inference(sat_conversion,[],[f704]) ).
cnf(s24,plain,
spl0_13,
inference(sat_conversion,[],[f708]) ).
cnf(s59,plain,
( spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f1309]) ).
cnf(s60,plain,
~ spl0_12,
inference(rat,[],[s12,s24]) ).
cnf(s61,plain,
~ spl0_14,
inference(rat,[],[s16,s60]) ).
cnf(s64,plain,
~ spl0_2,
inference(rat,[],[s21,s61]) ).
cnf(s75,plain,
spl0_1,
inference(rat,[],[s59,s11]) ).
cnf(s80,plain,
$false,
inference(rat,[],[s1,s64,s75]) ).
fof(f1310,plain,
$false,
inference(avatar_sat_refutation,[],[s80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC024-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 07:30:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.38/0.47 % (2861070)Will run a generic schedule for satisfiability detection.
% 0.38/0.47 % (2861077)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=115509688:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.38/0.47 % (2861078)dis+10_1_sil=32000:sp=arity:random_seed=1088396593:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.38/0.47 % (2861075)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2710970802_2999 on theBenchmark for (2999ds/0Mi)
% 0.38/0.47 % (2861079)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2638381051:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.38/0.47 % (2861080)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1077993222:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.38/0.47 % (2861081)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3078403795:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.38/0.47 % (2861076)% WARNING: option uhcvi not known.
% 0.38/0.47 % (2861076)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1133334006:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.38/0.47 % TRYING [1]
% 0.38/0.47 % TRYING [2]
% 0.38/0.47 % TRYING [3]
% 0.38/0.47 % (2861078) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2861070-2861078"...
% 0.38/0.47 % (2861078)...printing done.
% 0.38/0.47 % (2861078)Refutation found. Thanks to Tanya!
% 0.38/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.38/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.38/0.47 % (2861078)------------------------------
% 0.38/0.47 % (2861078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.47 % (2861078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.47 % (2861078)CaDiCaL version: 2.1.3
% 0.38/0.47 % (2861078)Termination reason: Refutation
% 0.38/0.47 % (2861078)Time elapsed: 0.024 s
% 0.38/0.47 % (2861078)Peak memory usage: 13 MB
% 0.38/0.47 % (2861078)Instructions burned: 36 (million)
% 0.38/0.47 % (2861070)Success in time 0.065 s
% 0.38/0.47 % Vampire exiting
%------------------------------------------------------------------------------