%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 02:28:00 PM UTC 2026
% Result : Theorem 2.65s 1.06s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 8 unt; 3 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 146 ( 52 ~; 47 |; 34 &)
% ( 5 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 36 ( 0 sgn 22 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f320,axiom,
( ! [X0] :
( b48_buttercup10305(X0)
=> k04_buttercup10303(X0) )
& ? [X1] :
( k04_buttercup10303(X1)
& ~ b48_buttercup10305(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_320) ).
fof(f886,conjecture,
( ! [X0] :
( b48_buttercup10305(X0)
<=> k04_buttercup10303(X0) )
| ( ! [X1] :
( k04_buttercup10303(X1)
=> b48_buttercup10305(X1) )
& ? [X2] :
( b48_buttercup10305(X2)
& ~ k04_buttercup10303(X2) ) )
| ( ! [X3] :
( b48_buttercup10305(X3)
=> k04_buttercup10303(X3) )
& ? [X4] :
( k04_buttercup10303(X4)
& ~ b48_buttercup10305(X4) ) )
| ! [X5] :
( b48_buttercup10305(X5)
=> ~ k04_buttercup10303(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_886) ).
fof(f887,negated_conjecture,
~ ( ! [X0] :
( b48_buttercup10305(X0)
<=> k04_buttercup10303(X0) )
| ( ! [X1] :
( k04_buttercup10303(X1)
=> b48_buttercup10305(X1) )
& ? [X2] :
( b48_buttercup10305(X2)
& ~ k04_buttercup10303(X2) ) )
| ( ! [X3] :
( b48_buttercup10305(X3)
=> k04_buttercup10303(X3) )
& ? [X4] :
( k04_buttercup10303(X4)
& ~ b48_buttercup10305(X4) ) )
| ! [X5] :
( b48_buttercup10305(X5)
=> ~ k04_buttercup10303(X5) ) ),
inference(negated_conjecture,[status(cth)],[f886]) ).
fof(f890,plain,
( ? [X0] :
( b48_buttercup10305(X0)
<~> k04_buttercup10303(X0) )
& ( ? [X1] :
( ~ b48_buttercup10305(X1)
& k04_buttercup10303(X1) )
| ! [X2] :
( ~ b48_buttercup10305(X2)
| k04_buttercup10303(X2) ) )
& ( ? [X3] :
( ~ k04_buttercup10303(X3)
& b48_buttercup10305(X3) )
| ! [X4] :
( ~ k04_buttercup10303(X4)
| b48_buttercup10305(X4) ) )
& ? [X5] :
( k04_buttercup10303(X5)
& b48_buttercup10305(X5) ) ),
inference(ennf_transformation,[],[f887]) ).
fof(f891,plain,
( ! [X0] :
( k04_buttercup10303(X0)
| ~ b48_buttercup10305(X0) )
& ? [X1] :
( k04_buttercup10303(X1)
& ~ b48_buttercup10305(X1) ) ),
inference(ennf_transformation,[],[f320]) ).
fof(f892,plain,
( ? [X0] :
( ( ~ k04_buttercup10303(X0)
| ~ b48_buttercup10305(X0) )
& ( k04_buttercup10303(X0)
| b48_buttercup10305(X0) ) )
& ( ? [X1] :
( ~ b48_buttercup10305(X1)
& k04_buttercup10303(X1) )
| ! [X2] :
( ~ b48_buttercup10305(X2)
| k04_buttercup10303(X2) ) )
& ( ? [X3] :
( ~ k04_buttercup10303(X3)
& b48_buttercup10305(X3) )
| ! [X4] :
( ~ k04_buttercup10303(X4)
| b48_buttercup10305(X4) ) )
& ? [X5] :
( k04_buttercup10303(X5)
& b48_buttercup10305(X5) ) ),
inference(nnf_transformation,[],[f890]) ).
fof(f893,plain,
( ( ~ k04_buttercup10303(sK0)
| ~ b48_buttercup10305(sK0) )
& ( k04_buttercup10303(sK0)
| b48_buttercup10305(sK0) )
& ( ( ~ b48_buttercup10305(sK1)
& k04_buttercup10303(sK1) )
| ! [X2] :
( ~ b48_buttercup10305(X2)
| k04_buttercup10303(X2) ) )
& ( ( ~ k04_buttercup10303(sK2)
& b48_buttercup10305(sK2) )
| ! [X4] :
( ~ k04_buttercup10303(X4)
| b48_buttercup10305(X4) ) )
& k04_buttercup10303(sK3)
& b48_buttercup10305(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X3,sK2),skolemize(X5,sK3)],[f892]) ).
fof(f896,plain,
( ! [X0] :
( k04_buttercup10303(X0)
| ~ b48_buttercup10305(X0) )
& k04_buttercup10303(sK6)
& ~ b48_buttercup10305(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6)],[f891]) ).
fof(f899,plain,
! [X4] :
( b48_buttercup10305(sK2)
| ~ k04_buttercup10303(X4)
| b48_buttercup10305(X4) ),
inference(cnf_transformation,[],[f893]) ).
fof(f900,plain,
! [X4] :
( ~ k04_buttercup10303(sK2)
| ~ k04_buttercup10303(X4)
| b48_buttercup10305(X4) ),
inference(cnf_transformation,[],[f893]) ).
fof(f903,plain,
( k04_buttercup10303(sK0)
| b48_buttercup10305(sK0) ),
inference(cnf_transformation,[],[f893]) ).
fof(f904,plain,
( ~ k04_buttercup10303(sK0)
| ~ b48_buttercup10305(sK0) ),
inference(cnf_transformation,[],[f893]) ).
fof(f909,plain,
! [X0] :
( ~ b48_buttercup10305(X0)
| k04_buttercup10303(X0) ),
inference(cnf_transformation,[],[f896]) ).
fof(f911,definition,
( spl7_1
<=> ! [X4] :
( ~ k04_buttercup10303(X4)
| b48_buttercup10305(X4) ) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f912,plain,
( ! [X4] :
( ~ k04_buttercup10303(X4)
| b48_buttercup10305(X4) )
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f914,definition,
( spl7_2
<=> b48_buttercup10305(sK2) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f916,plain,
( b48_buttercup10305(sK2)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f917,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f899,f914,f911]) ).
fof(f919,definition,
( spl7_3
<=> k04_buttercup10303(sK2) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f921,plain,
( ~ k04_buttercup10303(sK2)
| spl7_3 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f922,plain,
( spl7_1
| ~ spl7_3 ),
inference(avatar_split_clause,[],[f900,f919,f911]) ).
fof(f923,plain,
k04_buttercup10303(sK0),
inference(forward_subsumption_resolution,[],[f903,f909]) ).
fof(f924,plain,
~ b48_buttercup10305(sK0),
inference(forward_subsumption_resolution,[],[f904,f909]) ).
fof(f926,plain,
( k04_buttercup10303(sK2)
| ~ spl7_2 ),
inference(resolution,[],[f916,f909]) ).
fof(f927,plain,
( $false
| ~ spl7_2
| spl7_3 ),
inference(forward_subsumption_resolution,[],[f926,f921]) ).
fof(f928,plain,
( ~ spl7_2
| spl7_3 ),
inference(avatar_contradiction_clause,[],[f927]) ).
fof(f929,plain,
( b48_buttercup10305(sK0)
| ~ spl7_1 ),
inference(resolution,[],[f912,f923]) ).
fof(f935,plain,
( $false
| ~ spl7_1 ),
inference(forward_subsumption_resolution,[],[f929,f924]) ).
fof(f936,plain,
~ spl7_1,
inference(avatar_contradiction_clause,[],[f935]) ).
cnf(s1,plain,
( spl7_1
| spl7_2 ),
inference(sat_conversion,[],[f917]) ).
cnf(s2,plain,
( spl7_1
| ~ spl7_3 ),
inference(sat_conversion,[],[f922]) ).
cnf(s3,plain,
( ~ spl7_2
| spl7_3 ),
inference(sat_conversion,[],[f928]) ).
cnf(s5,plain,
~ spl7_1,
inference(sat_conversion,[],[f936]) ).
cnf(s6,plain,
~ spl7_3,
inference(rat,[],[s2,s5]) ).
cnf(s7,plain,
~ spl7_2,
inference(rat,[],[s3,s6]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s7,s5]) ).
fof(f937,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n020.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 17:49:49 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 2.65/1.06 % (376305)Detected formulas, will run a generic FOF schedule.
% 2.65/1.06 % (376313)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2722126287:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.65/1.06 % (376313)First to succeed.
% 2.65/1.06 % (376313)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-376305"
% 2.65/1.06 % (376316)dis-21_1_sil=8000:lcm=predicate:random_seed=595190363:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.65/1.06 % (376314)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1350211431:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.65/1.06 % (376311)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2190266317:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.65/1.06 % (376310)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=2088873947:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.65/1.06 % (376315)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=122955792:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.65/1.06 % (376312)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4065914816:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.65/1.06 % (376314)Also succeeded, but the first one will report.
% 2.65/1.06 % (376316)Also succeeded, but the first one will report.
% 2.65/1.06 % (376315)Also succeeded, but the first one will report.
% 2.65/1.06 % (376313)Refutation found. Thanks to Tanya!
% 2.65/1.06 % SZS status Theorem for theBenchmark
% 2.65/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.06 % (376313)------------------------------
% 2.65/1.06 % (376313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.06 % (376313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.06 % (376313)CaDiCaL version: 2.1.3
% 2.65/1.06 % (376313)Termination reason: Refutation
% 2.65/1.06 % (376313)Time elapsed: 0.002 s
% 2.65/1.06 % (376313)Peak memory usage: 90 MB
% 2.65/1.06 % (376313)Instructions burned: 3 (million)
% 2.65/1.06 % (376313)------------------------------
% 2.65/1.06 % (376313)------------------------------
% 2.65/1.06 % (376305)Success in time 0.309 s
% 2.65/1.06 % Vampire exiting
%------------------------------------------------------------------------------