%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC333-1 : 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 : n020.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 01:03:30 PM UTC 2026
% Result : Unsatisfiable 2.74s 1.14s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 59 ( 15 unt; 7 def)
% Number of atoms : 148 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 177 ( 88 ~; 82 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
totalorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ neq(sk3,X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ totalorderedP(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ssList(sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( neq(sk1,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( segmentP(sk2,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
( segmentP(sk5,sk1)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f213,negated_conjecture,
( totalorderedP(sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f216,plain,
( ssList(sk5)
| ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(definition_unfolding,[],[f209,f204,f205,f205]) ).
fof(f217,plain,
( neq(sk3,sk5)
| ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(definition_unfolding,[],[f210,f205,f204,f205,f205]) ).
fof(f218,plain,
( segmentP(sk4,sk5)
| ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(definition_unfolding,[],[f211,f204,f204,f205,f205]) ).
fof(f219,plain,
( segmentP(sk5,sk3)
| ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(definition_unfolding,[],[f212,f205,f204,f205,f205]) ).
fof(f220,plain,
( totalorderedP(sk5)
| ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(definition_unfolding,[],[f213,f204,f205,f205]) ).
fof(f240,definition,
( spl0_4
<=> totalorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f241,plain,
( ~ totalorderedP(sk3)
| spl0_4 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f243,definition,
( spl0_5
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f244,plain,
( ~ segmentP(sk4,sk3)
| spl0_5 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f246,definition,
( spl0_6
<=> totalorderedP(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f247,plain,
( totalorderedP(sk5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f220,f246,f243,f240]) ).
fof(f250,definition,
( spl0_7
<=> segmentP(sk5,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f251,plain,
( segmentP(sk5,sk3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f252,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f219,f250,f243,f240]) ).
fof(f254,definition,
( spl0_8
<=> segmentP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f255,plain,
( segmentP(sk4,sk5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f256,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f218,f254,f243,f240]) ).
fof(f258,definition,
( spl0_9
<=> neq(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f259,plain,
( neq(sk3,sk5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f260,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f217,f258,f243,f240]) ).
fof(f262,definition,
( spl0_10
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f263,plain,
( ssList(sk5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f264,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f216,f262,f243,f240]) ).
fof(f265,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f241,f207]) ).
fof(f266,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f267,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f244,f206]) ).
fof(f268,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f269,plain,
( ~ ssList(sk5)
| ~ segmentP(sk4,sk5)
| ~ segmentP(sk5,sk3)
| ~ totalorderedP(sk5)
| ~ spl0_9 ),
inference(resolution,[],[f208,f259]) ).
fof(f270,plain,
( ~ segmentP(sk4,sk5)
| ~ segmentP(sk5,sk3)
| ~ totalorderedP(sk5)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f269,f263]) ).
fof(f271,plain,
( ~ segmentP(sk5,sk3)
| ~ totalorderedP(sk5)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f270,f255]) ).
fof(f272,plain,
( ~ totalorderedP(sk5)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f271,f251]) ).
fof(f273,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f272,f247]) ).
fof(f274,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f273]) ).
cnf(s3,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f248]) ).
cnf(s4,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f252]) ).
cnf(s5,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f256]) ).
cnf(s6,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f260]) ).
cnf(s7,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f264]) ).
cnf(s8,plain,
spl0_4,
inference(sat_conversion,[],[f266]) ).
cnf(s9,plain,
spl0_5,
inference(sat_conversion,[],[f268]) ).
cnf(s10,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f274]) ).
cnf(s11,plain,
spl0_10,
inference(rat,[],[s7,s9,s8]) ).
cnf(s12,plain,
spl0_9,
inference(rat,[],[s6,s9,s8]) ).
cnf(s13,plain,
spl0_8,
inference(rat,[],[s5,s9,s8]) ).
cnf(s14,plain,
spl0_7,
inference(rat,[],[s4,s9,s8]) ).
cnf(s15,plain,
~ spl0_6,
inference(rat,[],[s10,s11,s12,s13,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s3,s15,s9,s8]) ).
fof(f275,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC333-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n020.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 09:10:19 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 Running first-order theorem proving
% 0.06/0.19 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
% 2.74/1.14 % (45992)Input is clausal, will run a generic CNF schedule.
% 2.74/1.14 % (46001)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1342957009:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.74/1.14 % (46001)First to succeed.
% 2.74/1.14 % (46001)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-45992"
% 2.74/1.14 % (45999)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1972664651:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.74/1.14 % (45997)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=920295052:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.74/1.14 % (45998)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=154015268:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.74/1.14 % (46000)lrs+10_1_sil=8000:sp=occurrence:random_seed=2281528744:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.74/1.14 % (46000)Also succeeded, but the first one will report.
% 2.74/1.14 % (46002)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4044412722:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.74/1.14 % (46003)dis-21_1_sil=8000:lcm=predicate:random_seed=2441758309: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)
% 2.74/1.14 % (46003)Also succeeded, but the first one will report.
% 2.74/1.14 % (46002)Also succeeded, but the first one will report.
% 2.74/1.14 % (46001)Refutation found. Thanks to Tanya!
% 2.74/1.14 % SZS status Unsatisfiable for theBenchmark
% 2.74/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 2.74/1.14 % (46001)------------------------------
% 2.74/1.14 % (46001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.14 % (46001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.14 % (46001)CaDiCaL version: 2.1.3
% 2.74/1.14 % (46001)Termination reason: Refutation
% 2.74/1.14 % (46001)Time elapsed: 0.002 s
% 2.74/1.14 % (46001)Peak memory usage: 89 MB
% 2.74/1.14 % (46001)Instructions burned: 3 (million)
% 2.74/1.14 % (46001)------------------------------
% 2.74/1.14 % (46001)------------------------------
% 2.74/1.14 % (45992)Success in time 0.313 s
% 2.74/1.14 % Vampire exiting
%------------------------------------------------------------------------------