%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN188-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 01:49:52 PM UTC 2026
% Result : Unsatisfiable 3.58s 1.24s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 14 unt; 5 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 67 ( 32 ~; 30 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,axiom,
q0(e,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f155,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_117) ).
fof(f162,axiom,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| ~ s0(d)
| ~ q1(d,X1,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_124) ).
fof(f369,negated_conjecture,
~ r1(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f617,definition,
( spl0_71
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f618,plain,
( ~ s0(d)
| spl0_71 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f655,definition,
( spl0_82
<=> q1(d,d,d) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f1121,definition,
( spl0_212
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).
fof(f1122,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1123,plain,
( ~ spl0_71
| spl0_212 ),
inference(avatar_split_clause,[],[f162,f1121,f617]) ).
fof(f1158,definition,
( spl0_223
<=> r1(e) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
fof(f1159,plain,
( ~ r1(e)
| spl0_223 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f1202,definition,
( spl0_235
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
fof(f1203,plain,
( ~ k0(e)
| spl0_235 ),
inference(avatar_component_clause,[],[f1202]) ).
fof(f1275,plain,
( ~ spl0_71
| ~ spl0_235
| spl0_82 ),
inference(avatar_split_clause,[],[f155,f655,f1202,f617]) ).
fof(f1409,plain,
~ spl0_223,
inference(avatar_split_clause,[],[f369,f1158]) ).
fof(f1412,plain,
( $false
| spl0_71 ),
inference(resolution,[],[f618,f1]) ).
fof(f1413,plain,
spl0_71,
inference(avatar_contradiction_clause,[],[f1412]) ).
fof(f1435,plain,
( $false
| spl0_235 ),
inference(resolution,[],[f28,f1203]) ).
fof(f1436,plain,
spl0_235,
inference(avatar_contradiction_clause,[],[f1435]) ).
fof(f1490,plain,
( ! [X0] :
( ~ q0(e,X0)
| ~ q1(d,X0,d) )
| ~ spl0_212
| spl0_223 ),
inference(resolution,[],[f1122,f1159]) ).
fof(f1497,plain,
( ~ q1(d,d,d)
| ~ spl0_212
| spl0_223 ),
inference(resolution,[],[f1490,f2]) ).
fof(f1498,plain,
( ~ spl0_82
| ~ spl0_212
| spl0_223 ),
inference(avatar_split_clause,[],[f1497,f1158,f1121,f655]) ).
cnf(s114,plain,
( ~ spl0_71
| spl0_212 ),
inference(sat_conversion,[],[f1123]) ).
cnf(s136,plain,
( ~ spl0_71
| spl0_82
| ~ spl0_235 ),
inference(sat_conversion,[],[f1275]) ).
cnf(s155,plain,
~ spl0_223,
inference(sat_conversion,[],[f1409]) ).
cnf(s157,plain,
spl0_71,
inference(sat_conversion,[],[f1413]) ).
cnf(s168,plain,
spl0_235,
inference(sat_conversion,[],[f1436]) ).
cnf(s181,plain,
( ~ spl0_82
| ~ spl0_212
| spl0_223 ),
inference(sat_conversion,[],[f1498]) ).
cnf(s187,plain,
spl0_82,
inference(rat,[],[s136,s168,s157]) ).
cnf(s188,plain,
~ spl0_212,
inference(rat,[],[s181,s155,s187]) ).
cnf(s199,plain,
$false,
inference(rat,[],[s114,s188,s157]) ).
fof(f1499,plain,
$false,
inference(avatar_sat_refutation,[],[s199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN188-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n017.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 15:33:21 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.58/1.24 % (3644700)Input is clausal, will run a generic CNF schedule.
% 3.58/1.24 % (3644720)dis-21_1_sil=8000:lcm=predicate:random_seed=2819675513: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)
% 3.58/1.24 % (3644714)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=996282952:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.58/1.24 % (3644720)First to succeed.
% 3.58/1.24 % (3644720)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3644700"
% 3.58/1.24 % (3644718)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2986836138:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.58/1.24 % (3644715)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1752783615:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.58/1.24 % (3644717)lrs+10_1_sil=8000:sp=occurrence:random_seed=2981289431:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.58/1.24 % (3644716)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2366106343:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.58/1.24 % (3644718)Also succeeded, but the first one will report.
% 3.58/1.24 % (3644719)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3801341903:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.58/1.24 % (3644717)Also succeeded, but the first one will report.
% 3.58/1.24 % (3644719)Also succeeded, but the first one will report.
% 3.58/1.24 % (3644720)Refutation found. Thanks to Tanya!
% 3.58/1.24 % SZS status Unsatisfiable for theBenchmark
% 3.58/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.24 % (3644720)------------------------------
% 3.58/1.24 % (3644720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.24 % (3644720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.24 % (3644720)CaDiCaL version: 2.1.3
% 3.58/1.24 % (3644720)Termination reason: Refutation
% 3.58/1.24 % (3644720)Time elapsed: 0.010 s
% 3.58/1.24 % (3644720)Peak memory usage: 90 MB
% 3.58/1.24 % (3644720)Instructions burned: 16 (million)
% 3.58/1.24 % (3644720)------------------------------
% 3.58/1.24 % (3644720)------------------------------
% 3.58/1.24 % (3644700)Success in time 0.44 s
% 3.58/1.24 % Vampire exiting
%------------------------------------------------------------------------------