%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN369+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 : n015.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 02:07:30 PM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 19 ( 7 ~; 7 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 32 ( 28 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0,X1,X2] :
( big_p(X0,X1)
| big_p(X1,X2) )
=> ? [X3] :
! [X4] : big_p(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2120) ).
fof(f2,negated_conjecture,
~ ( ! [X0,X1,X2] :
( big_p(X0,X1)
| big_p(X1,X2) )
=> ? [X3] :
! [X4] : big_p(X3,X4) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X3] :
? [X4] : ~ big_p(X3,X4)
& ! [X0,X1,X2] :
( big_p(X0,X1)
| big_p(X1,X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X0] :
? [X1] : ~ big_p(X0,X1)
& ! [X2,X3,X4] :
( big_p(X2,X3)
| big_p(X3,X4) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
( ! [X0] : ~ big_p(X0,sK0(X0))
& ! [X2,X3,X4] :
( big_p(X2,X3)
| big_p(X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f4]) ).
fof(f6,plain,
! [X2,X3,X4] :
( big_p(X2,X3)
| big_p(X3,X4) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X0] : ~ big_p(X0,sK0(X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X0] : big_p(X0,sK0(X0)),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f9,plain,
! [X2,X3,X4] :
( ~ big_p(X2,X3)
| ~ big_p(X3,X4) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f13,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f8,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN369+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n015.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:53:49 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 0.21/0.28 % (2743370)Will run a generic schedule for satisfiability detection.
% 0.21/0.28 % (2743375)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=31716607_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.28 % TRYING [1]
% 0.21/0.28 % TRYING [2]
% 0.21/0.28 % TRYING [3]
% 0.21/0.28 % (2743375) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2743370-2743375"...
% 0.21/0.28 % (2743375)...printing done.
% 0.21/0.28 % (2743375)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (2743375)------------------------------
% 0.21/0.28 % (2743375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (2743375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (2743375)CaDiCaL version: 2.1.3
% 0.21/0.28 % (2743375)Termination reason: Refutation
% 0.21/0.28 % (2743375)Time elapsed: 0.001 s
% 0.21/0.28 % (2743375)Peak memory usage: 11 MB
% 0.21/0.28 % (2743375)Instructions burned: 1 (million)
% 0.21/0.28 % (2743370)Success in time 0.032 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------