%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN006-4 : 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 10:19:15 AM UTC 2026
% Result : Unsatisfiable 0.04s 0.46s
% Output : Refutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 28 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 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 : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ less_equal(X1,X2)
| ~ less_equal(X0,X1)
| less_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
fof(f17,axiom,
less_equal(divide(a,b),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_divide_b_LE_d) ).
fof(f18,negated_conjecture,
~ less_equal(divide(a,d),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_divide_d_LE_b) ).
fof(f25,plain,
zero = divide(divide(a,b),d),
inference(resolution,[],[f1,f17]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ less_equal(X0,divide(X1,X2))
| less_equal(X0,X1) ),
inference(resolution,[],[f16,f3]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))
| divide(divide(X0,X1),X2) = divide(divide(X0,X2),divide(X1,X2)) ),
inference(resolution,[],[f4,f6]) ).
fof(f490,plain,
( ~ less_equal(zero,divide(divide(a,d),divide(b,d)))
| zero = divide(divide(a,d),divide(b,d)) ),
inference(superposition,[],[f67,f25]) ).
fof(f526,plain,
zero = divide(divide(a,d),divide(b,d)),
inference(forward_subsumption_resolution,[],[f490,f5]) ).
fof(f581,plain,
( zero != zero
| less_equal(divide(a,d),divide(b,d)) ),
inference(superposition,[],[f2,f526]) ).
fof(f602,plain,
less_equal(divide(a,d),divide(b,d)),
inference(trivial_inequality_removal,[],[f581]) ).
fof(f617,plain,
less_equal(divide(a,d),b),
inference(resolution,[],[f602,f63]) ).
fof(f630,plain,
$false,
inference(forward_subsumption_resolution,[],[f617,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN006-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.04/0.37 % CPULimit : 300
% 0.04/0.37 % WCLimit : 300
% 0.04/0.37 % DateTime : Sun Sep 27 10:51:40 UTC 2026
% 0.04/0.37 % CPUTime :
% 0.04/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.40 Running first-order model finding
% 0.04/0.40 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
% 0.04/0.46 % (3199604)Will run a generic schedule for satisfiability detection.
% 0.04/0.46 % (3199614)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3730548394:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.04/0.46 % (3199610)% WARNING: option uhcvi not known.
% 0.04/0.46 % (3199609)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3415198658_2999 on theBenchmark for (2999ds/0Mi)
% 0.04/0.46 % (3199611)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2866728689:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.04/0.46 % (3199612)dis+10_1_sil=32000:sp=arity:random_seed=1466738155:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.04/0.46 % (3199613)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3546840021:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.04/0.46 % (3199615)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=292564403:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.04/0.46 % TRYING [1]
% 0.04/0.46 % TRYING [2]
% 0.04/0.46 % TRYING [3]
% 0.04/0.46 % TRYING [4]
% 0.04/0.46 % (3199610)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1718919511:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.04/0.46 % TRYING [5]
% 0.04/0.46 % (3199612) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3199604-3199612"...
% 0.04/0.46 % (3199612)...printing done.
% 0.04/0.46 % (3199612)Refutation found. Thanks to Tanya!
% 0.04/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.04/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.04/0.46 % (3199612)------------------------------
% 0.04/0.46 % (3199612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.04/0.46 % (3199612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.04/0.46 % (3199612)CaDiCaL version: 2.1.3
% 0.04/0.46 % (3199612)Termination reason: Refutation
% 0.04/0.46 % (3199612)Time elapsed: 0.012 s
% 0.04/0.46 % (3199612)Peak memory usage: 11 MB
% 0.04/0.46 % (3199612)Instructions burned: 18 (million)
% 0.04/0.46 % (3199604)Success in time 0.052 s
% 0.04/0.46 % Vampire exiting
%------------------------------------------------------------------------------