%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN411+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:50:32 PM UTC 2026
% Result : Theorem 0.20s 1.13s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 15 ~; 9 |; 3 &)
% ( 2 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 60 ( 42 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0,X1,X2] : f(X0,X1,X2)
<=> ~ ? [X3,X4,X5] : ~ f(X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish250) ).
fof(f2,negated_conjecture,
~ ( ! [X0,X1,X2] : f(X0,X1,X2)
<=> ~ ? [X3,X4,X5] : ~ f(X3,X4,X5) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X0,X1,X2] : f(X0,X1,X2)
<~> ! [X3,X4,X5] : f(X3,X4,X5) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ( ? [X3,X4,X5] : ~ f(X3,X4,X5)
| ? [X0,X1,X2] : ~ f(X0,X1,X2) )
& ( ! [X3,X4,X5] : f(X3,X4,X5)
| ! [X0,X1,X2] : f(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ? [X0,X1,X2] : ~ f(X0,X1,X2)
| ? [X3,X4,X5] : ~ f(X3,X4,X5) )
& ( ! [X6,X7,X8] : f(X6,X7,X8)
| ! [X9,X10,X11] : f(X9,X10,X11) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( ( ~ f(sK0,sK1,sK2)
| ~ f(sK3,sK4,sK5) )
& ( ! [X6,X7,X8] : f(X6,X7,X8)
| ! [X9,X10,X11] : f(X9,X10,X11) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f5]) ).
fof(f7,plain,
! [X10,X11,X8,X6,X9,X7] :
( f(X9,X10,X11)
| f(X6,X7,X8) ),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
( ~ f(sK3,sK4,sK5)
| ~ f(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
! [X2,X0,X1] :
( ~ f(sK0,sK1,sK2)
| f(X0,X1,X2) ),
inference(resolution,[],[f8,f7]) ).
fof(f10,plain,
! [X2,X0,X1] : f(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f9,f7]) ).
fof(f11,plain,
~ f(sK0,sK1,sK2),
inference(resolution,[],[f10,f8]) ).
fof(f12,plain,
$false,
inference(forward_subsumption_resolution,[],[f11,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN411+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:57:42 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 0.20/1.13 % (3976744)Detected formulas, will run a generic FOF schedule.
% 0.20/1.13 % (3976780)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2549788994:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.20/1.13 % (3976780)First to succeed.
% 0.20/1.13 % (3976780)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3976744"
% 0.20/1.13 % (3976779)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3061532097:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.20/1.13 % (3976777)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=474252509:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.20/1.13 % (3976776)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=3730451542:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.20/1.13 % (3976782)dis-21_1_sil=8000:lcm=predicate:random_seed=4165710097: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)
% 0.20/1.13 % (3976778)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=739383553:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.20/1.13 % (3976782)Also succeeded, but the first one will report.
% 0.20/1.13 % (3976779)Also succeeded, but the first one will report.
% 0.20/1.13 % (3976781)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=746539593:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.20/1.13 % (3976781)Also succeeded, but the first one will report.
% 0.20/1.13 % (3976780)Refutation found. Thanks to Tanya!
% 0.20/1.13 % SZS status Theorem for theBenchmark
% 0.20/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.13 % (3976780)------------------------------
% 0.20/1.13 % (3976780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.13 % (3976780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.13 % (3976780)CaDiCaL version: 2.1.3
% 0.20/1.13 % (3976780)Termination reason: Refutation
% 0.20/1.13 % (3976780)Time elapsed: 0.001 s
% 0.20/1.13 % (3976780)Peak memory usage: 88 MB
% 0.20/1.13 % (3976780)------------------------------
% 0.20/1.13 % (3976780)------------------------------
% 0.20/1.13 % (3976744)Success in time 0.271 s
% 0.20/1.13 % Vampire exiting
%------------------------------------------------------------------------------