%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC218-1 : 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 : n010.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 01:05:09 PM UTC 2026
% Result : Unsatisfiable 0.29s 0.40s
% Output : Refutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 76 ( 24 unt; 4 def)
% Number of atoms : 190 ( 20 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 189 ( 75 ~; 110 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause11) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause56) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
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] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).
fof(f134,axiom,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause127) ).
fof(f135,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(reorient_equations,[],[f134]) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
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(f210,negated_conjecture,
ssItem(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
app(app(sk5,cons(sk7,nil)),sk6) = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f212,plain,
sk3 = app(app(sk5,cons(sk7,nil)),sk6),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
ssList(sk3),
inference(definition_unfolding,[],[f200,f205]) ).
fof(f216,plain,
~ neq(sk3,nil),
inference(definition_unfolding,[],[f213,f205]) ).
fof(f224,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f119]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f244,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f273,plain,
! [X0] :
( segmentP(X0,nil)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f297,plain,
! [X0,X1] :
( ~ ssList(cons(X0,X1))
| ssList(X1)
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f311,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ssList(X1)
| ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f321,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f224]) ).
fof(f330,plain,
! [X0,X1] :
( ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ssList(X0)
| ssList(X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f135]) ).
fof(f371,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ssList(X0)
| ssList(X1)
| ssList(app(app(X0,X1),X2))
| ssList(X2) ),
inference(consistent_polarity_flipping,[],[f231]) ).
fof(f384,plain,
~ ssList(sk3),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f388,plain,
~ ssList(sk5),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f389,plain,
~ ssList(sk6),
inference(consistent_polarity_flipping,[],[f207]) ).
fof(f390,plain,
neq(sk3,nil),
inference(consistent_polarity_flipping,[],[f216]) ).
fof(f402,definition,
( spl0_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f403,plain,
( ~ ssList(nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f438,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f244,f402]) ).
fof(f574,plain,
( ssList(sk3)
| ssList(nil)
| nil = sk3 ),
inference(resolution,[],[f311,f390]) ).
fof(f579,plain,
( ssList(nil)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f574,f384]) ).
fof(f580,plain,
( nil = sk3
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f579,f403]) ).
fof(f1850,plain,
( segmentP(sk3,cons(sk7,nil))
| ssList(sk5)
| ssList(cons(sk7,nil))
| ssList(sk3)
| ssList(sk6) ),
inference(superposition,[],[f371,f212]) ).
fof(f1856,plain,
( segmentP(sk3,cons(sk7,nil))
| ssList(cons(sk7,nil))
| ssList(sk3)
| ssList(sk6) ),
inference(forward_subsumption_resolution,[],[f1850,f388]) ).
fof(f1864,plain,
( segmentP(sk3,cons(sk7,nil))
| ssList(cons(sk7,nil))
| ssList(sk6) ),
inference(forward_subsumption_resolution,[],[f1856,f384]) ).
fof(f1872,plain,
( segmentP(sk3,cons(sk7,nil))
| ssList(cons(sk7,nil)) ),
inference(forward_subsumption_resolution,[],[f1864,f389]) ).
fof(f1878,plain,
( segmentP(nil,cons(sk7,nil))
| ssList(cons(sk7,nil))
| spl0_2 ),
inference(forward_demodulation,[],[f1872,f580]) ).
fof(f1883,definition,
( spl0_37
<=> ssList(cons(sk7,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f1884,plain,
( ~ ssList(cons(sk7,nil))
| spl0_37 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f1885,plain,
( ssList(cons(sk7,nil))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f1887,definition,
( spl0_38
<=> segmentP(nil,cons(sk7,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f1889,plain,
( segmentP(nil,cons(sk7,nil))
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f1890,plain,
( spl0_37
| spl0_38
| spl0_2 ),
inference(avatar_split_clause,[],[f1878,f402,f1887,f1883]) ).
fof(f1908,plain,
( ssList(nil)
| ~ ssItem(sk7)
| ~ spl0_37 ),
inference(resolution,[],[f1885,f297]) ).
fof(f1909,plain,
( ~ ssItem(sk7)
| spl0_2
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1908,f403]) ).
fof(f1910,plain,
( $false
| spl0_2
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1909,f210]) ).
fof(f1911,plain,
( spl0_2
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1910]) ).
fof(f1940,definition,
( spl0_41
<=> nil = cons(sk7,nil) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f1942,plain,
( nil = cons(sk7,nil)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1940]) ).
fof(f1976,plain,
( ~ segmentP(cons(sk7,nil),nil)
| ssList(cons(sk7,nil))
| ssList(nil)
| nil = cons(sk7,nil)
| ~ spl0_38 ),
inference(resolution,[],[f1889,f330]) ).
fof(f1977,plain,
( ssList(cons(sk7,nil))
| ssList(nil)
| nil = cons(sk7,nil)
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1976,f273]) ).
fof(f1982,plain,
( ssList(nil)
| nil = cons(sk7,nil)
| spl0_37
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1977,f1884]) ).
fof(f1987,plain,
( nil = cons(sk7,nil)
| spl0_2
| spl0_37
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1982,f403]) ).
fof(f1989,plain,
( spl0_41
| spl0_2
| spl0_37
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1987,f1887,f1883,f402,f1940]) ).
fof(f2001,plain,
( singletonP(nil)
| ssList(nil)
| ~ ssItem(sk7)
| ~ spl0_41 ),
inference(superposition,[],[f321,f1942]) ).
fof(f2057,plain,
( ssList(nil)
| ~ ssItem(sk7)
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2001,f11]) ).
fof(f2083,plain,
( ~ ssItem(sk7)
| spl0_2
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2057,f403]) ).
fof(f2088,plain,
( $false
| spl0_2
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2083,f210]) ).
fof(f2089,plain,
( spl0_2
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f2088]) ).
cnf(s10,plain,
~ spl0_2,
inference(sat_conversion,[],[f438]) ).
cnf(s51,plain,
( spl0_2
| spl0_37
| spl0_38 ),
inference(sat_conversion,[],[f1890]) ).
cnf(s52,plain,
( spl0_2
| ~ spl0_37 ),
inference(sat_conversion,[],[f1911]) ).
cnf(s59,plain,
( spl0_2
| spl0_37
| ~ spl0_38
| spl0_41 ),
inference(sat_conversion,[],[f1989]) ).
cnf(s63,plain,
( spl0_2
| ~ spl0_41 ),
inference(sat_conversion,[],[f2089]) ).
cnf(s64,plain,
~ spl0_41,
inference(rat,[],[s63,s10]) ).
cnf(s65,plain,
~ spl0_37,
inference(rat,[],[s52,s10]) ).
cnf(s67,plain,
~ spl0_38,
inference(rat,[],[s59,s64,s10,s65]) ).
cnf(s72,plain,
$false,
inference(rat,[],[s51,s10,s67,s65]) ).
fof(f2092,plain,
$false,
inference(avatar_sat_refutation,[],[s72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC218-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.28 % Computer : n010.cluster.edu
% 0.22/0.28 % Model : x86_64 x86_64
% 0.22/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.28 % Memory : 8046.5625MB
% 0.22/0.28 % OS : Linux 6.8.0-71-generic
% 0.22/0.28 % CPULimit : 300
% 0.22/0.28 % WCLimit : 300
% 0.22/0.28 % DateTime : Mon Sep 28 08:32:32 UTC 2026
% 0.22/0.29 % CPUTime :
% 0.22/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.32 Running first-order model finding
% 0.22/0.32 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
% 0.29/0.40 % (1769744)Will run a generic schedule for satisfiability detection.
% 0.29/0.40 % (1769750)% WARNING: option uhcvi not known.
% 0.29/0.40 % (1769750)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=27645420:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.29/0.40 % (1769753)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3685334047:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.29/0.40 % (1769754)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3408963703:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.29/0.40 % (1769755)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3444316440:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.29/0.40 % (1769752)dis+10_1_sil=32000:sp=arity:random_seed=1393331111:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.29/0.40 % (1769751)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=105600437:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.29/0.40 % (1769749)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=547402323_2999 on theBenchmark for (2999ds/0Mi)
% 0.29/0.40 % (1769750) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1769744-1769750"...
% 0.29/0.40 % TRYING [1]
% 0.29/0.40 % (1769750)...printing done.
% 0.29/0.40 % (1769750)Refutation found. Thanks to Tanya!
% 0.29/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.29/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/0.40 % (1769750)------------------------------
% 0.29/0.40 % (1769750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.40 % (1769750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.40 % (1769750)CaDiCaL version: 2.1.3
% 0.29/0.40 % (1769750)Termination reason: Refutation
% 0.29/0.40 % (1769750)Time elapsed: 0.035 s
% 0.29/0.40 % (1769750)Peak memory usage: 13 MB
% 0.29/0.40 % (1769750)Instructions burned: 66 (million)
% 0.29/0.40 % (1769744)Success in time 0.066 s
% 0.29/0.40 % Vampire exiting
%------------------------------------------------------------------------------