%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN008-3 : 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 : n007.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 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 12 unt; 0 def)
% Number of atoms : 21 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
fof(f2,axiom,
! [X0,X1] :
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
fof(f8,axiom,
less_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_LE_b) ).
fof(f9,negated_conjecture,
~ less_equal(divide(a,c),divide(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_divide_c_LE_b_divide_c) ).
fof(f12,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f1,f5]) ).
fof(f13,plain,
zero = divide(a,b),
inference(resolution,[],[f1,f8]) ).
fof(f15,plain,
zero != divide(divide(a,c),divide(b,c)),
inference(resolution,[],[f2,f9]) ).
fof(f24,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f33,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)),
inference(superposition,[],[f4,f13]) ).
fof(f38,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),zero),
inference(forward_demodulation,[],[f33,f12]) ).
fof(f131,plain,
! [X0] : zero = divide(divide(a,X0),divide(b,X0)),
inference(resolution,[],[f38,f24]) ).
fof(f611,plain,
zero != zero,
inference(superposition,[],[f15,f131]) ).
fof(f639,plain,
$false,
inference(trivial_inequality_removal,[],[f611]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN008-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n007.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 10:48:55 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.19/0.47 % (1234543)Will run a generic schedule for satisfiability detection.
% 0.19/0.47 % (1234554)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4278364909:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.47 % (1234551)% WARNING: option uhcvi not known.
% 0.19/0.47 % (1234554) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1234543-1234554"...
% 0.19/0.47 % (1234551)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=284858134:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.47 % (1234550)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3425967326_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.47 % (1234552)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1277677851:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.47 % (1234553)dis+10_1_sil=32000:sp=arity:random_seed=3651166093:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.47 % (1234555)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1195392783:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.47 % (1234554)...printing done.
% 0.19/0.47 % TRYING [1]
% 0.19/0.47 % (1234554)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (1234554)------------------------------
% 0.19/0.47 % (1234554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.47 % (1234554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.47 % (1234554)CaDiCaL version: 2.1.3
% 0.19/0.47 % (1234554)Termination reason: Refutation
% 0.19/0.47 % (1234554)Time elapsed: 0.007 s
% 0.19/0.47 % (1234554)Peak memory usage: 12 MB
% 0.19/0.47 % (1234554)Instructions burned: 19 (million)
% 0.19/0.47 % (1234543)Success in time 0.033 s
% 0.19/0.47 % Vampire exiting
%------------------------------------------------------------------------------