%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC001-1 : 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 : n002.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 01:01:59 PM UTC 2026
% Result : Unsatisfiable 2.63s 1.37s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 10 unt; 4 def)
% Number of atoms : 86 ( 2 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 87 ( 41 ~; 42 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 2 !; 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,
duplicatefreeP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ memberP(sk4,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ssItem(sk5)
| ~ duplicatefreeP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( memberP(sk2,sk5)
| memberP(sk1,sk5)
| ~ duplicatefreeP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( ~ memberP(sk2,sk5)
| ~ memberP(sk1,sk5)
| ~ duplicatefreeP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
( ssItem(sk5)
| ~ duplicatefreeP(sk3) ),
inference(definition_unfolding,[],[f209,f205]) ).
fof(f215,plain,
( memberP(sk4,sk5)
| memberP(sk3,sk5)
| ~ duplicatefreeP(sk3) ),
inference(definition_unfolding,[],[f210,f204,f205,f205]) ).
fof(f216,plain,
( ~ memberP(sk4,sk5)
| ~ memberP(sk3,sk5)
| ~ duplicatefreeP(sk3) ),
inference(definition_unfolding,[],[f211,f204,f205,f205]) ).
fof(f325,definition,
( spl1_10
<=> duplicatefreeP(sk3) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f326,plain,
( ~ duplicatefreeP(sk3)
| spl1_10 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f328,definition,
( spl1_11
<=> memberP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f331,definition,
( spl1_12
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
fof(f332,plain,
( ~ memberP(sk4,sk5)
| spl1_12 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f333,plain,
( ~ spl1_10
| ~ spl1_11
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f216,f331,f328,f325]) ).
fof(f335,plain,
( memberP(sk4,sk5)
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f336,plain,
( ~ spl1_10
| spl1_11
| spl1_12 ),
inference(avatar_split_clause,[],[f215,f331,f328,f325]) ).
fof(f338,definition,
( spl1_13
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
fof(f340,plain,
( ~ spl1_10
| spl1_13 ),
inference(avatar_split_clause,[],[f214,f338,f325]) ).
fof(f341,plain,
( $false
| spl1_10 ),
inference(resolution,[],[f206,f326]) ).
fof(f342,plain,
spl1_10,
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f343,plain,
( ~ ssItem(sk5)
| ~ memberP(sk3,sk5)
| spl1_12 ),
inference(resolution,[],[f207,f332]) ).
fof(f345,plain,
( ~ spl1_11
| ~ spl1_13
| spl1_12 ),
inference(avatar_split_clause,[],[f343,f331,f338,f328]) ).
fof(f347,plain,
( memberP(sk3,sk5)
| ~ ssItem(sk5)
| ~ spl1_12 ),
inference(resolution,[],[f208,f335]) ).
fof(f349,plain,
( ~ spl1_13
| spl1_11
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f347,f331,f328,f338]) ).
cnf(s8,plain,
( ~ spl1_10
| ~ spl1_11
| ~ spl1_12 ),
inference(sat_conversion,[],[f333]) ).
cnf(s9,plain,
( ~ spl1_10
| spl1_11
| spl1_12 ),
inference(sat_conversion,[],[f336]) ).
cnf(s10,plain,
( ~ spl1_10
| spl1_13 ),
inference(sat_conversion,[],[f340]) ).
cnf(s11,plain,
spl1_10,
inference(sat_conversion,[],[f342]) ).
cnf(s12,plain,
( ~ spl1_11
| spl1_12
| ~ spl1_13 ),
inference(sat_conversion,[],[f345]) ).
cnf(s13,plain,
( spl1_11
| ~ spl1_12
| ~ spl1_13 ),
inference(sat_conversion,[],[f349]) ).
cnf(s14,plain,
spl1_13,
inference(rat,[],[s10,s11]) ).
cnf(s15,plain,
( spl1_11
| spl1_12 ),
inference(rat,[],[s9,s11]) ).
cnf(s16,plain,
( ~ spl1_11
| ~ spl1_12 ),
inference(rat,[],[s8,s11]) ).
cnf(s17,plain,
spl1_11,
inference(rat,[],[s15,s13,s14]) ).
cnf(s18,plain,
spl1_12,
inference(rat,[],[s12,s14,s17]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s16,s18,s17]) ).
fof(f350,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC001-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n002.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Mon Sep 28 07:26:53 UTC 2026
% 0.12/0.42 % CPUTime :
% 0.12/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 Running first-order theorem proving
% 0.12/0.45 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
% 2.63/1.37 % (183377)Input is clausal, will run a generic CNF schedule.
% 2.63/1.37 % (183388)dis-21_1_sil=8000:lcm=predicate:random_seed=932139229: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)
% 2.63/1.37 % (183388)First to succeed.
% 2.63/1.37 % (183388)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-183377"
% 2.63/1.37 % (183383)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3890262023:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.63/1.37 % (183382)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=4062542690:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.63/1.37 % (183385)lrs+10_1_sil=8000:sp=occurrence:random_seed=3125148936:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.63/1.37 % (183387)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2724716492:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.63/1.37 % (183384)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2048128171:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.63/1.37 % (183386)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2801621533:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.63/1.37 % (183386)Also succeeded, but the first one will report.
% 2.63/1.37 % (183385)Also succeeded, but the first one will report.
% 2.63/1.37 % (183387)Also succeeded, but the first one will report.
% 2.63/1.37 % (183388)Refutation found. Thanks to Tanya!
% 2.63/1.37 % SZS status Unsatisfiable for theBenchmark
% 2.63/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.37 % (183388)------------------------------
% 2.63/1.37 % (183388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.37 % (183388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.37 % (183388)CaDiCaL version: 2.1.3
% 2.63/1.37 % (183388)Termination reason: Refutation
% 2.63/1.37 % (183388)Time elapsed: 0.003 s
% 2.63/1.37 % (183388)Peak memory usage: 89 MB
% 2.63/1.37 % (183388)Instructions burned: 6 (million)
% 2.63/1.37 % (183388)------------------------------
% 2.63/1.37 % (183388)------------------------------
% 2.63/1.37 % (183377)Success in time 0.294 s
% 2.63/1.37 % Vampire exiting
%------------------------------------------------------------------------------