%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN003-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 10:19:13 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_smaller_than_numerator) ).
fof(f2,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_property) ).
fof(f3,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0] : divide(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',zero_is_smallest) ).
fof(f5,plain,
! [X0] : zero = divide(zero,X0),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| divide(X1,X0) != zero
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
fof(f7,plain,
! [X0,X1] :
( divide(X0,X1) != zero
| zero != divide(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f6]) ).
fof(f10,negated_conjecture,
divide(a,a) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_x_is_zero) ).
fof(f11,plain,
zero != divide(a,a),
inference(reorient_equations,[],[f10]) ).
fof(f18,plain,
! [X0] :
( zero != zero
| zero != divide(X0,zero)
| zero = X0 ),
inference(superposition,[],[f7,f5]) ).
fof(f23,plain,
! [X0] :
( zero != divide(X0,zero)
| zero = X0 ),
inference(trivial_inequality_removal,[],[f18]) ).
fof(f40,plain,
! [X0,X1] : zero = divide(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(superposition,[],[f3,f1]) ).
fof(f66,plain,
! [X0] : zero = divide(divide(divide(X0,X0),zero),zero),
inference(superposition,[],[f40,f1]) ).
fof(f120,plain,
! [X0] :
( zero != zero
| zero = divide(divide(X0,X0),zero) ),
inference(superposition,[],[f23,f66]) ).
fof(f131,plain,
! [X0] : zero = divide(divide(X0,X0),zero),
inference(trivial_inequality_removal,[],[f120]) ).
fof(f152,plain,
! [X0] :
( zero != zero
| zero = divide(X0,X0) ),
inference(superposition,[],[f23,f131]) ).
fof(f164,plain,
! [X0] : zero = divide(X0,X0),
inference(trivial_inequality_removal,[],[f152]) ).
fof(f254,plain,
zero != zero,
inference(superposition,[],[f11,f164]) ).
fof(f255,plain,
$false,
inference(trivial_inequality_removal,[],[f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN003-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:49:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.46 % (1854401)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (1854420)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1799465437:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.46 % (1854417)% WARNING: option uhcvi not known.
% 0.18/0.46 % (1854420) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1854401-1854420"...
% 0.18/0.46 % (1854420)...printing done.
% 0.18/0.46 % (1854420)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (1854420)------------------------------
% 0.18/0.46 % (1854420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (1854420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (1854420)CaDiCaL version: 2.1.3
% 0.18/0.46 % (1854420)Termination reason: Refutation
% 0.18/0.46 % (1854420)Time elapsed: 0.003 s
% 0.18/0.46 % (1854420)Peak memory usage: 11 MB
% 0.18/0.46 % (1854420)Instructions burned: 9 (million)
% 0.18/0.46 % (1854401)Success in time 0.034 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------