%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC059-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 01:02:15 PM UTC 2026
% Result : Unsatisfiable 2.64s 1.35s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 53 ( 11 unt; 6 def)
% Number of atoms : 127 ( 14 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 146 ( 72 ~; 68 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
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,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk2
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
! [X0] :
( nil = sk2
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
! [X0] :
( nil != sk1
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f215,plain,
( nil = sk4
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f209,f204,f204]) ).
fof(f216,plain,
! [X0] :
( nil = sk4
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f210,f204,f204,f205]) ).
fof(f217,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f211,f205,f204]) ).
fof(f218,plain,
! [X0] :
( nil != sk3
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f212,f205,f204,f205]) ).
fof(f238,definition,
( spl0_4
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f239,plain,
( ! [X0] :
( ~ neq(X0,nil)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f241,definition,
( spl0_5
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f243,plain,
( spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f218,f241,f238]) ).
fof(f245,definition,
( spl0_6
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f247,plain,
( spl0_6
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f217,f241,f245]) ).
fof(f249,definition,
( spl0_7
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f251,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f216,f249,f238]) ).
fof(f252,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f215,f249,f245]) ).
fof(f254,definition,
( spl0_8
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f255,plain,
( segmentP(sk4,sk3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,plain,
( spl0_8
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f208,f245,f254]) ).
fof(f259,definition,
( spl0_9
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f260,plain,
( neq(sk3,nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f261,plain,
( spl0_9
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f207,f245,f259]) ).
fof(f264,plain,
( ~ spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f206,f241,f249]) ).
fof(f269,plain,
( ~ segmentP(sk3,sk3)
| ~ segmentP(sk4,sk3)
| ~ ssList(sk3)
| ~ spl0_4
| ~ spl0_9 ),
inference(resolution,[],[f239,f260]) ).
fof(f270,plain,
( ~ segmentP(sk3,sk3)
| ~ ssList(sk3)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f269,f255]) ).
fof(f272,plain,
( ~ segmentP(sk3,sk3)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f270,f202]) ).
fof(f294,plain,
( ~ ssList(sk3)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f57,f272]) ).
fof(f298,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f294,f202]) ).
fof(f299,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f298]) ).
cnf(s3,plain,
( spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f243]) ).
cnf(s4,plain,
( ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f247]) ).
cnf(s5,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f251]) ).
cnf(s6,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f252]) ).
cnf(s7,plain,
( ~ spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f257]) ).
cnf(s8,plain,
( ~ spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f261]) ).
cnf(s9,plain,
( spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f264]) ).
cnf(s15,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f299]) ).
cnf(s17,plain,
spl0_7,
inference(rat,[],[s15,s7,s8,s5,s6]) ).
cnf(s18,plain,
spl0_5,
inference(rat,[],[s9,s17]) ).
cnf(s20,plain,
spl0_6,
inference(rat,[],[s4,s18]) ).
cnf(s21,plain,
spl0_4,
inference(rat,[],[s3,s18]) ).
cnf(s24,plain,
spl0_9,
inference(rat,[],[s8,s20]) ).
cnf(s25,plain,
spl0_8,
inference(rat,[],[s7,s20]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s15,s24,s21,s25]) ).
fof(f300,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC059-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n010.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 07:40:03 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.64/1.35 % (1745676)Input is clausal, will run a generic CNF schedule.
% 2.64/1.35 % (1745685)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1245228686:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.64/1.35 % (1745685)First to succeed.
% 2.64/1.35 % (1745685)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1745676"
% 2.64/1.35 % (1745686)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3086848959:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.64/1.35 % (1745684)lrs+10_1_sil=8000:sp=occurrence:random_seed=2129104381:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.64/1.35 % (1745681)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3232565675:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.64/1.35 % (1745683)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=138284683:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.64/1.35 % (1745682)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2680177759:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.64/1.35 % (1745686)Also succeeded, but the first one will report.
% 2.64/1.35 % (1745684)Also succeeded, but the first one will report.
% 2.64/1.35 % (1745687)dis-21_1_sil=8000:lcm=predicate:random_seed=2209792514:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.64/1.35 % (1745687)Also succeeded, but the first one will report.
% 2.64/1.35 % (1745685)Refutation found. Thanks to Tanya!
% 2.64/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.64/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/1.35 % (1745685)------------------------------
% 2.64/1.35 % (1745685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.35 % (1745685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.35 % (1745685)CaDiCaL version: 2.1.3
% 2.64/1.35 % (1745685)Termination reason: Refutation
% 2.64/1.35 % (1745685)Time elapsed: 0.002 s
% 2.64/1.35 % (1745685)Peak memory usage: 89 MB
% 2.64/1.35 % (1745685)Instructions burned: 3 (million)
% 2.64/1.35 % (1745685)------------------------------
% 2.64/1.35 % (1745685)------------------------------
% 2.64/1.35 % (1745676)Success in time 0.291 s
% 2.64/1.35 % Vampire exiting
%------------------------------------------------------------------------------