%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN187-1 : 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 : n007.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 2.86s 1.26s
% Output : Refutation 2.86s
% 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 : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
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(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f631,definition,
( spl0_74
<=> q1(d,d,d) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f684,definition,
( spl0_89
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f685,plain,
( ~ k0(e)
| spl0_89 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f1193,definition,
( spl0_232
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
fof(f1194,plain,
( ~ s0(d)
| spl0_232 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f1282,plain,
( ~ spl0_232
| ~ spl0_89
| spl0_74 ),
inference(avatar_split_clause,[],[f155,f631,f684,f1193]) ).
fof(f1291,definition,
( spl0_260
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).
fof(f1292,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) )
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f1293,plain,
( ~ spl0_232
| spl0_260 ),
inference(avatar_split_clause,[],[f162,f1291,f1193]) ).
fof(f1311,definition,
( spl0_266
<=> r1(d) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
fof(f1312,plain,
( ~ r1(d)
| spl0_266 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f1408,plain,
~ spl0_266,
inference(avatar_split_clause,[],[f369,f1311]) ).
fof(f1417,plain,
( $false
| spl0_232 ),
inference(resolution,[],[f1194,f1]) ).
fof(f1418,plain,
spl0_232,
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1434,plain,
( $false
| spl0_89 ),
inference(resolution,[],[f28,f685]) ).
fof(f1435,plain,
spl0_89,
inference(avatar_contradiction_clause,[],[f1434]) ).
fof(f1489,plain,
( ! [X0] :
( ~ q0(d,X0)
| ~ q1(d,X0,d) )
| ~ spl0_260
| spl0_266 ),
inference(resolution,[],[f1312,f1292]) ).
fof(f1553,plain,
( ~ q1(d,d,d)
| ~ spl0_260
| spl0_266 ),
inference(resolution,[],[f17,f1489]) ).
fof(f1561,plain,
( ~ spl0_74
| ~ spl0_260
| spl0_266 ),
inference(avatar_split_clause,[],[f1553,f1311,f1291,f631]) ).
cnf(s137,plain,
( spl0_74
| ~ spl0_89
| ~ spl0_232 ),
inference(sat_conversion,[],[f1282]) ).
cnf(s139,plain,
( ~ spl0_232
| spl0_260 ),
inference(sat_conversion,[],[f1293]) ).
cnf(s154,plain,
~ spl0_266,
inference(sat_conversion,[],[f1408]) ).
cnf(s159,plain,
spl0_232,
inference(sat_conversion,[],[f1418]) ).
cnf(s167,plain,
spl0_89,
inference(sat_conversion,[],[f1435]) ).
cnf(s193,plain,
( ~ spl0_74
| ~ spl0_260
| spl0_266 ),
inference(sat_conversion,[],[f1561]) ).
cnf(s201,plain,
spl0_260,
inference(rat,[],[s139,s159]) ).
cnf(s202,plain,
~ spl0_74,
inference(rat,[],[s193,s154,s201]) ).
cnf(s204,plain,
$false,
inference(rat,[],[s137,s159,s167,s202]) ).
fof(f1566,plain,
$false,
inference(avatar_sat_refutation,[],[s204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN187-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.30 % Computer : n007.cluster.edu
% 0.27/0.30 % Model : x86_64 x86_64
% 0.27/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.30 % Memory : 8046.5625MB
% 0.27/0.30 % OS : Linux 6.8.0-71-generic
% 0.27/0.31 % CPULimit : 300
% 0.27/0.31 % WCLimit : 300
% 0.27/0.31 % DateTime : Mon Sep 28 15:35:55 UTC 2026
% 0.27/0.31 % CPUTime :
% 0.27/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.37 Running first-order theorem proving
% 0.27/0.37 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
% 2.86/1.26 % (2500303)Input is clausal, will run a generic CNF schedule.
% 2.86/1.26 % (2500314)dis-21_1_sil=8000:lcm=predicate:random_seed=2013088350: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)
% 2.86/1.26 % (2500314)First to succeed.
% 2.86/1.26 % (2500314)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2500303"
% 2.86/1.26 % (2500309)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2646881492:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.86/1.26 % (2500313)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=167981447:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.86/1.26 % (2500308)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=277021879:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.86/1.26 % (2500311)lrs+10_1_sil=8000:sp=occurrence:random_seed=3133109060:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.86/1.26 % (2500310)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1074036626:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.86/1.26 % (2500312)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3411990678:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.86/1.26 % (2500313)Also succeeded, but the first one will report.
% 2.86/1.26 % (2500311)Also succeeded, but the first one will report.
% 2.86/1.26 % (2500312)Also succeeded, but the first one will report.
% 2.86/1.26 % (2500314)Refutation found. Thanks to Tanya!
% 2.86/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.86/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 2.86/1.26 % (2500314)------------------------------
% 2.86/1.26 % (2500314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.26 % (2500314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.26 % (2500314)CaDiCaL version: 2.1.3
% 2.86/1.26 % (2500314)Termination reason: Refutation
% 2.86/1.26 % (2500314)Time elapsed: 0.007 s
% 2.86/1.26 % (2500314)Peak memory usage: 90 MB
% 2.86/1.26 % (2500314)Instructions burned: 17 (million)
% 2.86/1.26 % (2500314)------------------------------
% 2.86/1.26 % (2500314)------------------------------
% 2.86/1.26 % (2500303)Success in time 0.304 s
% 2.86/1.26 % Vampire exiting
%------------------------------------------------------------------------------