%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN411+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 02:07:47 PM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 1 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 31 ( 15 ~; 10 |; 3 &)
% ( 2 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 6 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/sandbox/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(X6,X7,X8)
| f(X9,X10,X11) ),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
( ~ f(sK0,sK1,sK2)
| ~ f(sK3,sK4,sK5) ),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
( f(sK0,sK1,sK2)
| f(sK3,sK4,sK5) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f10,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ f(X6,X7,X8)
| ~ f(X9,X10,X11) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f24,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f9,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN411+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n018.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 15:57:10 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.09/0.24 % (3505955)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (3505960)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3336934154_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.24 % Detected minimum model sizes of [1]
% 0.09/0.24 % Detected maximum model sizes of [6]
% 0.09/0.24 % TRYING [1]
% 0.09/0.24 % TRYING [2]
% 0.09/0.24 % TRYING [3]
% 0.09/0.24 % TRYING [4]
% 0.09/0.24 % TRYING [5]
% 0.09/0.24 % TRYING [6]
% 0.09/0.24 % (3505960) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3505955-3505960"...
% 0.09/0.24 % (3505960)...printing done.
% 0.09/0.24 % (3505960)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Theorem for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.24 % (3505960)------------------------------
% 0.09/0.24 % (3505960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (3505960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (3505960)CaDiCaL version: 2.1.3
% 0.09/0.24 % (3505960)Termination reason: Refutation
% 0.09/0.24 % (3505960)Time elapsed: 0.002 s
% 0.09/0.24 % (3505960)Peak memory usage: 11 MB
% 0.09/0.24 % (3505960)Instructions burned: 3 (million)
% 0.09/0.24 % (3505955)Success in time 0.03 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------