%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN008-5 : 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 : 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 10:19:17 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.43s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 13 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
fof(f7,plain,
! [X0,X1] :
( zero != divide(X1,X0)
| divide(X0,X1) != zero
| X0 = X1 ),
inference(reorient_equations,[],[f6]) ).
fof(f10,axiom,
divide(a,b) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_divide_b_is_zero) ).
fof(f11,plain,
zero = divide(a,b),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
divide(divide(a,c),divide(b,c)) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_divide3) ).
fof(f13,plain,
zero != divide(divide(a,c),divide(b,c)),
inference(reorient_equations,[],[f12]) ).
fof(f20,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,[],[f20]) ).
fof(f50,plain,
! [X0] : zero = divide(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)),
inference(superposition,[],[f3,f11]) ).
fof(f58,plain,
! [X0] : zero = divide(divide(divide(a,X0),divide(b,X0)),zero),
inference(forward_demodulation,[],[f50,f5]) ).
fof(f76,plain,
! [X0] :
( zero != zero
| zero = divide(divide(a,X0),divide(b,X0)) ),
inference(superposition,[],[f23,f58]) ).
fof(f84,plain,
! [X0] : zero = divide(divide(a,X0),divide(b,X0)),
inference(trivial_inequality_removal,[],[f76]) ).
fof(f116,plain,
zero != zero,
inference(superposition,[],[f13,f84]) ).
fof(f128,plain,
$false,
inference(trivial_inequality_removal,[],[f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN008-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 10:53:56 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 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
% 0.15/0.43 % (2660418)Will run a generic schedule for satisfiability detection.
% 0.15/0.43 % (2660426)dis+10_1_sil=32000:sp=arity:random_seed=827310662:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.43 % (2660426) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2660418-2660426"...
% 0.15/0.43 % (2660426)...printing done.
% 0.15/0.43 % (2660426)Refutation found. Thanks to Tanya!
% 0.15/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.43 % (2660426)------------------------------
% 0.15/0.43 % (2660426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.43 % (2660426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.43 % (2660426)CaDiCaL version: 2.1.3
% 0.15/0.44 % (2660426)Termination reason: Refutation
% 0.15/0.44 % (2660426)Time elapsed: 0.002 s
% 0.15/0.44 % (2660426)Peak memory usage: 11 MB
% 0.15/0.44 % (2660426)Instructions burned: 5 (million)
% 0.15/0.44 % (2660418)Success in time 0.031 s
% 0.15/0.44 % Vampire exiting
%------------------------------------------------------------------------------