%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN258-1 : 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 : n006.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 01:50:02 PM UTC 2026
% Result : Unsatisfiable 5.87s 1.96s
% Output : Refutation 5.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 13 unt; 3 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 17 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f117,axiom,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(e)
| ~ k1(X0)
| ~ l0(c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_079) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ p1(X0,X1,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f1006,definition,
( spl0_183
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
fof(f1007,plain,
( ~ l0(c)
| spl0_183 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1024,definition,
( spl0_188
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
fof(f1025,plain,
( ~ k0(e)
| spl0_188 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1027,definition,
( spl0_189
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
fof(f1028,plain,
( ! [X0] :
( p1(X0,X0,X0)
| ~ k1(X0) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1029,plain,
( ~ spl0_183
| ~ spl0_188
| spl0_189 ),
inference(avatar_split_clause,[],[f117,f1027,f1024,f1006]) ).
fof(f1391,plain,
( $false
| spl0_188 ),
inference(forward_subsumption_resolution,[],[f1025,f28]) ).
fof(f1392,plain,
spl0_188,
inference(avatar_contradiction_clause,[],[f1391]) ).
fof(f1405,plain,
( $false
| spl0_183 ),
inference(forward_subsumption_resolution,[],[f1007,f24]) ).
fof(f1406,plain,
spl0_183,
inference(avatar_contradiction_clause,[],[f1405]) ).
fof(f1484,plain,
k1(d),
inference(resolution,[],[f39,f34]) ).
fof(f1617,plain,
( ~ k1(d)
| ~ spl0_189 ),
inference(resolution,[],[f1028,f369]) ).
fof(f1619,plain,
( $false
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f1617,f1484]) ).
fof(f1620,plain,
~ spl0_189,
inference(avatar_contradiction_clause,[],[f1619]) ).
cnf(s89,plain,
( ~ spl0_183
| ~ spl0_188
| spl0_189 ),
inference(sat_conversion,[],[f1029]) ).
cnf(s154,plain,
spl0_188,
inference(sat_conversion,[],[f1392]) ).
cnf(s161,plain,
spl0_183,
inference(sat_conversion,[],[f1406]) ).
cnf(s240,plain,
~ spl0_189,
inference(sat_conversion,[],[f1620]) ).
cnf(s290,plain,
$false,
inference(rat,[],[s89,s240,s154,s161]) ).
fof(f1621,plain,
$false,
inference(avatar_sat_refutation,[],[s290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN258-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.30 % Computer : n006.cluster.edu
% 0.26/0.30 % Model : x86_64 x86_64
% 0.26/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.30 % Memory : 8046.5625MB
% 0.26/0.30 % OS : Linux 6.8.0-71-generic
% 0.26/0.30 % CPULimit : 300
% 0.26/0.30 % WCLimit : 300
% 0.26/0.30 % DateTime : Mon Sep 28 15:38:40 UTC 2026
% 0.26/0.30 % CPUTime :
% 0.26/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.35 Running first-order theorem proving
% 0.26/0.35 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
% 5.87/1.96 % (4069806)Input is clausal, will run a generic CNF schedule.
% 5.87/1.96 % (4069814)lrs+10_1_sil=8000:sp=occurrence:random_seed=3774626788:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.87/1.96 % (4069814)Refutation not found, incomplete strategy
% 5.87/1.96 % (4069814)------------------------------
% 5.87/1.96 % (4069814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.96 % (4069814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.96 % (4069814)CaDiCaL version: 2.1.3
% 5.87/1.96 % (4069814)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.96 % (4069814)Time elapsed: 0.003 s
% 5.87/1.96 % (4069814)Peak memory usage: 88 MB
% 5.87/1.96 % (4069814)Instructions burned: 4 (million)
% 5.87/1.96 % (4069815)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1537067153:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.87/1.96 % (4069811)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=3265423958:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.87/1.96 % (4069813)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1011055507:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.87/1.96 % (4069815)First to succeed.
% 5.87/1.96 % (4069815)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4069806"
% 5.87/1.96 % (4069817)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4118230524:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.87/1.96 % (4069812)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2290307550:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.87/1.96 % (4069817)Also succeeded, but the first one will report.
% 5.87/1.96 % (4069819)dis-21_1_sil=8000:lcm=predicate:random_seed=2257053459: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)
% 5.87/1.96 % (4069819)Also succeeded, but the first one will report.
% 5.87/1.96 % (4069814)------------------------------
% 5.87/1.96 % (4069814)------------------------------
% 5.87/1.96 % (4069815)Refutation found. Thanks to Tanya!
% 5.87/1.96 % SZS status Unsatisfiable for theBenchmark
% 5.87/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 5.87/1.96 % (4069815)------------------------------
% 5.87/1.96 % (4069815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.96 % (4069815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.96 % (4069815)CaDiCaL version: 2.1.3
% 5.87/1.96 % (4069815)Termination reason: Refutation
% 5.87/1.96 % (4069815)Time elapsed: 0.021 s
% 5.87/1.96 % (4069815)Peak memory usage: 89 MB
% 5.87/1.96 % (4069815)Instructions burned: 20 (million)
% 5.87/1.96 % (4069815)------------------------------
% 5.87/1.96 % (4069815)------------------------------
% 5.87/1.96 % (4069806)Success in time 0.716 s
% 5.87/1.96 % Vampire exiting
%------------------------------------------------------------------------------