%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC019-1 : 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 01:04:19 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 14 unt; 1 def)
% Number of atoms : 67 ( 17 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 78 ( 42 ~; 35 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause61) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/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(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
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,
sk4 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
sk3 = sk4,
inference(reorient_equations,[],[f206]) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ frontsegP(sk2,X0)
| ~ frontsegP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,plain,
sk1 = sk4,
inference(definition_unfolding,[],[f205,f207]) ).
fof(f214,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk4,X0) ),
inference(definition_unfolding,[],[f208,f204,f210]) ).
fof(f215,plain,
( nil != sk4
| nil != sk4 ),
inference(definition_unfolding,[],[f209,f204,f210]) ).
fof(f240,plain,
nil != sk4,
inference(duplicate_literal_removal,[],[f215]) ).
fof(f241,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f253,definition,
( spl0_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f254,plain,
( ssList(nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f289,plain,
spl0_2,
inference(avatar_split_clause,[],[f8,f253]) ).
fof(f458,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ frontsegP(sk4,X0) ),
inference(resolution,[],[f102,f241]) ).
fof(f463,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ frontsegP(sk4,X0) ),
inference(duplicate_literal_removal,[],[f458]) ).
fof(f464,plain,
( ! [X0] :
( ~ frontsegP(sk4,X0)
| nil = X0
| ~ ssList(X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f463,f254]) ).
fof(f466,plain,
( nil = sk4
| ~ ssList(sk4)
| ~ ssList(sk4)
| ~ spl0_2 ),
inference(resolution,[],[f464,f61]) ).
fof(f467,plain,
( nil = sk4
| ~ ssList(sk4)
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f466]) ).
fof(f468,plain,
( ~ ssList(sk4)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f467,f240]) ).
fof(f469,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f468,f203]) ).
fof(f470,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f469]) ).
cnf(s10,plain,
spl0_2,
inference(sat_conversion,[],[f289]) ).
cnf(s11,plain,
~ spl0_2,
inference(sat_conversion,[],[f470]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s10,s11]) ).
fof(f471,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC019-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 07:26:55 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.17/0.47 % (3794743)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (3794753)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2969343922:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (3794749)% WARNING: option uhcvi not known.
% 0.17/0.47 % (3794748)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2929172557_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (3794749)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3822555134:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (3794750)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3456082736:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (3794751)dis+10_1_sil=32000:sp=arity:random_seed=705809786:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (3794752)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2317758344:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (3794754)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4177947674:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (3794751) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3794743-3794751"...
% 0.17/0.47 % (3794749) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3794743-3794749"...
% 0.17/0.47 % (3794751)...printing done.
% 0.17/0.47 % (3794749)...printing done.
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % (3794751)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (3794751)------------------------------
% 0.17/0.47 % (3794751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (3794751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (3794751)CaDiCaL version: 2.1.3
% 0.17/0.47 % (3794751)Termination reason: Refutation
% 0.17/0.47 % (3794751)Time elapsed: 0.009 s
% 0.17/0.47 % (3794751)Peak memory usage: 12 MB
% 0.17/0.47 % (3794751)Instructions burned: 12 (million)
% 0.17/0.47 % (3794743)Success in time 0.056 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------