%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN002-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 10:19:12 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.44s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
fof(f11,negated_conjecture,
~ quotient(zero,x,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_zero_divide_anything_is_zero) ).
fof(f12,plain,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f16,plain,
! [X0] : ~ less_equal(zero,X0),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f22,plain,
quotient(zero,x,zero),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f23,plain,
less_equal(zero,x),
inference(resolution,[],[f12,f22]) ).
fof(f24,plain,
$false,
inference(resolution,[],[f23,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:50:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 Running first-order model finding
% 0.16/0.41 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
% 0.16/0.44 % (3198779)Will run a generic schedule for satisfiability detection.
% 0.16/0.44 % (3198790)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3241828540:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.44 % (3198790) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3198779-3198790"...
% 0.16/0.44 % (3198790)...printing done.
% 0.16/0.44 % (3198790)Refutation found. Thanks to Tanya!
% 0.16/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.44 % (3198790)------------------------------
% 0.16/0.44 % (3198790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.44 % (3198790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.44 % (3198790)CaDiCaL version: 2.1.3
% 0.16/0.44 % (3198790)Termination reason: Refutation
% 0.16/0.44 % (3198790)Time elapsed: 0.001 s
% 0.16/0.44 % (3198790)Peak memory usage: 11 MB
% 0.16/0.44 % (3198779)Success in time 0.028 s
% 0.16/0.44 % Vampire exiting
%------------------------------------------------------------------------------