%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN333-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 02:07:21 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 24 ( 10 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] : f(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( ~ f(X0,z(X1,X0))
| ~ f(z(X1,X0),z(X1,X0))
| g(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ f(X0,z(X1,X0))
| ~ f(z(X1,X0),z(X1,X0))
| ~ g(X1,z(X1,X0))
| ~ g(z(X1,X0),z(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,plain,
! [X0,X1] : ~ f(X0,X1),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f5,plain,
! [X0,X1] :
( f(z(X1,X0),z(X1,X0))
| f(X0,z(X1,X0))
| ~ g(X1,X0) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f6,plain,
! [X0,X1] :
( g(z(X1,X0),z(X1,X0))
| f(z(X1,X0),z(X1,X0))
| g(X1,z(X1,X0))
| f(X0,z(X1,X0)) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f7,plain,
! [X0,X1] :
( f(X0,z(X1,X0))
| ~ g(X1,X0) ),
inference(resolution,[],[f5,f4]) ).
fof(f8,plain,
! [X0,X1] : ~ g(X0,X1),
inference(resolution,[],[f7,f4]) ).
fof(f9,plain,
! [X0,X1] :
( f(z(X0,X1),z(X0,X1))
| g(X0,z(X0,X1))
| f(X1,z(X0,X1)) ),
inference(resolution,[],[f6,f8]) ).
fof(f10,plain,
! [X0,X1] :
( g(X0,z(X0,X1))
| f(X1,z(X0,X1)) ),
inference(resolution,[],[f9,f4]) ).
fof(f11,plain,
! [X0,X1] : f(X0,z(X1,X0)),
inference(resolution,[],[f10,f8]) ).
fof(f12,plain,
$false,
inference(resolution,[],[f11,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN333-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 15:45:12 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.27 % (3963719)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (3963730)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=552827369:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % (3963730) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3963719-3963730"...
% 0.20/0.27 % (3963730)...printing done.
% 0.20/0.27 % (3963730)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (3963730)------------------------------
% 0.20/0.27 % (3963730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3963730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3963730)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3963730)Termination reason: Refutation
% 0.20/0.27 % (3963730)Time elapsed: 0.001 s
% 0.20/0.27 % (3963730)Peak memory usage: 11 MB
% 0.20/0.27 % (3963719)Success in time 0.033 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------