%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN955+1 : TPTP v9.3.1. Released v3.1.0.
% 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 02:06:03 PM UTC 2026
% Result : Theorem 2.62s 1.19s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 12 ~; 5 |; 8 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 22 ( 13 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
( a(X0)
=> b(X0) )
=> ( ? [X0] : a(X0)
=> ? [X0] : b(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( a(X0)
=> b(X0) )
=> ( ? [X0] : a(X0)
=> ? [X0] : b(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ! [X0] :
( a(X0)
=> b(X0) )
=> ( ? [X1] : a(X1)
=> ? [X2] : b(X2) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ! [X2] : ~ b(X2)
& ? [X1] : a(X1)
& ! [X0] :
( b(X0)
| ~ a(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ! [X2] : ~ b(X2)
& ? [X1] : a(X1)
& ! [X0] :
( b(X0)
| ~ a(X0) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ! [X0] : ~ b(X0)
& ? [X1] : a(X1)
& ! [X2] :
( b(X2)
| ~ a(X2) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ! [X0] : ~ b(X0)
& a(sK0)
& ! [X2] :
( b(X2)
| ~ a(X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0)],[f6]) ).
fof(f8,plain,
! [X2] :
( ~ a(X2)
| b(X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
a(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X0] : ~ b(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
b(sK0),
inference(resolution,[],[f8,f9]) ).
fof(f12,plain,
$false,
inference(forward_subsumption_resolution,[],[f11,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN955+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n006.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Mon Sep 28 17:16:10 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.30 Running first-order theorem proving
% 0.26/0.30 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
% 2.62/1.19 % (4122585)Detected formulas, will run a generic FOF schedule.
% 2.62/1.19 % (4122699)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3981299054:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 2.62/1.19 % (4122699)First to succeed.
% 2.62/1.19 % (4122699)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4122585"
% 2.62/1.19 % (4122697)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=3790279594:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 2.62/1.19 % (4122698)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=3621356662:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 2.62/1.19 % (4122696)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=1055146573:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 2.62/1.19 % (4122700)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3668861305:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 2.62/1.19 % (4122700)Also succeeded, but the first one will report.
% 2.62/1.19 % (4122701)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3969760938:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 2.62/1.19 % (4122702)dis-21_1_sil=8000:lcm=predicate:random_seed=3190200601:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 2.62/1.19 % (4122702)Also succeeded, but the first one will report.
% 2.62/1.19 % (4122701)Also succeeded, but the first one will report.
% 2.62/1.19 % (4122699)Refutation found. Thanks to Tanya!
% 2.62/1.19 % SZS status Theorem for theBenchmark
% 2.62/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/1.19 % (4122699)------------------------------
% 2.62/1.19 % (4122699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.19 % (4122699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.19 % (4122699)CaDiCaL version: 2.1.3
% 2.62/1.19 % (4122699)Termination reason: Refutation
% 2.62/1.19 % (4122699)Time elapsed: 0.001 s
% 2.62/1.19 % (4122699)Peak memory usage: 88 MB
% 2.62/1.19 % (4122699)------------------------------
% 2.62/1.19 % (4122699)------------------------------
% 2.62/1.19 % (4122585)Success in time 0.265 s
% 2.62/1.19 % Vampire exiting
%------------------------------------------------------------------------------