%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL648+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 11:59:12 AM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 82 ( 44 ~; 21 |; 17 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p201(X1)
& p101(X1) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ( p201(X1)
& p101(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p201(X1)
& p101(X1) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ( p201(X1)
& p101(X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p201(X1)
& p101(X1) ) )
| ! [X2] :
( ~ r1(X0,X2)
| ~ ( p201(X2)
& p101(X2) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( p201(X1)
& p101(X1) ) )
| ! [X2] :
( ~ r1(X0,X2)
| ~ ( p201(X2)
& p101(X2) ) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ p201(X1)
| ~ p101(X1) )
& ? [X2] :
( r1(X0,X2)
& p201(X2)
& p101(X2) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ p201(X1)
| ~ p101(X1) )
& ? [X2] :
( r1(X0,X2)
& p201(X2)
& p101(X2) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
( ! [X1] :
( ~ r1(sK0,X1)
| ~ p201(X1)
| ~ p101(X1) )
& r1(sK0,sK1)
& p201(sK1)
& p101(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X2,sK1)],[f6]) ).
fof(f8,plain,
p101(sK1),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
p201(sK1),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
r1(sK0,sK1),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X1] :
( ~ r1(sK0,X1)
| ~ p201(X1)
| ~ p101(X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
( ~ p201(sK1)
| ~ p101(sK1) ),
inference(resolution,[],[f11,f10]) ).
fof(f13,plain,
~ p101(sK1),
inference(forward_subsumption_resolution,[],[f12,f9]) ).
fof(f14,plain,
$false,
inference(forward_subsumption_resolution,[],[f13,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL648+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n017.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 16:10:20 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.42 Running first-order model finding
% 0.17/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 % (2774559)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (2774567)dis+10_1_sil=32000:sp=arity:random_seed=2728624309:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (2774567) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2774559-2774567"...
% 0.17/0.47 % (2774567)...printing done.
% 0.17/0.47 % (2774565)% WARNING: option uhcvi not known.
% 0.17/0.47 % (2774567)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (2774567)------------------------------
% 0.17/0.47 % (2774567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2774567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2774567)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2774567)Termination reason: Refutation
% 0.17/0.47 % (2774567)Time elapsed: 0.001 s
% 0.17/0.47 % (2774567)Peak memory usage: 11 MB
% 0.17/0.47 % (2774559)Success in time 0.033 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------