%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN007-4 : 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 : n019.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 10:19:16 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 20 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
fof(f12,axiom,
! [X0] : divide(X0,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f13,plain,
! [X0] : zero = divide(X0,X0),
inference(reorient_equations,[],[f12]) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ less_equal(X1,X2)
| ~ less_equal(X0,X1)
| less_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f18,axiom,
less_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_LE_b) ).
fof(f19,negated_conjecture,
~ less_equal(divide(c,b),divide(c,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_divide_b_LE_c_divide_a) ).
fof(f70,plain,
! [X0] :
( zero != zero
| less_equal(X0,X0) ),
inference(superposition,[],[f2,f13]) ).
fof(f78,plain,
! [X0] : less_equal(X0,X0),
inference(trivial_inequality_removal,[],[f70]) ).
fof(f406,plain,
! [X0] :
( ~ less_equal(X0,a)
| less_equal(X0,b) ),
inference(resolution,[],[f16,f18]) ).
fof(f506,plain,
! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),X1),
inference(resolution,[],[f17,f78]) ).
fof(f573,plain,
! [X0] : less_equal(divide(X0,divide(X0,a)),b),
inference(resolution,[],[f506,f406]) ).
fof(f612,plain,
! [X0] : less_equal(divide(X0,b),divide(X0,a)),
inference(resolution,[],[f573,f17]) ).
fof(f778,plain,
$false,
inference(resolution,[],[f612,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN007-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % 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 10:51:04 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.18/0.47 % (2908610)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (2908619)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2287196940:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (2908616)% WARNING: option uhcvi not known.
% 0.18/0.47 % (2908615)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1839441541_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % (2908616)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3228859346:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (2908617)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3055556659:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (2908618)dis+10_1_sil=32000:sp=arity:random_seed=2318978566:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % (2908621)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3195533731:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % (2908620)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1730133827:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % TRYING [1]
% 0.18/0.47 % TRYING [2]
% 0.18/0.47 % TRYING [3]
% 0.18/0.47 % TRYING [4]
% 0.18/0.47 % TRYING [5]
% 0.18/0.47 % (2908617) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2908610-2908617"...
% 0.18/0.47 % (2908617)...printing done.
% 0.18/0.47 % (2908617)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (2908617)------------------------------
% 0.18/0.47 % (2908617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (2908617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (2908617)CaDiCaL version: 2.1.3
% 0.18/0.47 % (2908617)Termination reason: Refutation
% 0.18/0.47 % (2908617)Time elapsed: 0.013 s
% 0.18/0.47 % (2908617)Peak memory usage: 11 MB
% 0.18/0.47 % (2908617)Instructions burned: 15 (million)
% 0.18/0.47 % (2908610)Success in time 0.049 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------