%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN003-4 : 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 : n018.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 : 10
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 16 unt; 0 def)
% Number of atoms : 34 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 17 ~; 10 |; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 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(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
fof(f12,negated_conjecture,
divide(a,a) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_x_divide_x_is_zero) ).
fof(f13,plain,
zero != divide(a,a),
inference(reorient_equations,[],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f15,plain,
! [X0,X1] :
( divide(X0,X1) != zero
| ~ less_equal(X0,X1) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f16,plain,
! [X0,X1] : ~ less_equal(divide(X0,X1),X0),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f17,plain,
! [X2,X0,X1] : ~ less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f18,plain,
! [X0] : ~ less_equal(zero,X0),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f19,plain,
! [X0,X1] :
( less_equal(X1,X0)
| less_equal(X0,X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f25,plain,
! [X0,X1] : zero = divide(divide(X0,X1),X0),
inference(resolution,[],[f14,f16]) ).
fof(f36,plain,
! [X0] :
( less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f19,f18]) ).
fof(f57,plain,
! [X0,X1] : ~ less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(superposition,[],[f17,f25]) ).
fof(f114,plain,
! [X0] : ~ less_equal(divide(divide(X0,X0),zero),zero),
inference(superposition,[],[f57,f25]) ).
fof(f116,plain,
! [X0] : zero = divide(divide(X0,X0),zero),
inference(resolution,[],[f114,f36]) ).
fof(f128,plain,
! [X0] :
( zero != zero
| ~ less_equal(divide(X0,X0),zero) ),
inference(superposition,[],[f15,f116]) ).
fof(f137,plain,
! [X0] : ~ less_equal(divide(X0,X0),zero),
inference(trivial_inequality_removal,[],[f128]) ).
fof(f138,plain,
! [X0] : zero = divide(X0,X0),
inference(resolution,[],[f137,f36]) ).
fof(f166,plain,
zero != zero,
inference(superposition,[],[f13,f138]) ).
fof(f167,plain,
$false,
inference(trivial_inequality_removal,[],[f166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN003-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 10:51:39 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.46 % (2154398)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (2154408)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=459013331_3000 on theBenchmark for (3000ds/0Mi)
% 0.18/0.46 % TRYING [1]
% 0.18/0.46 % TRYING [2]
% 0.18/0.46 % TRYING [3]
% 0.18/0.46 % TRYING [4]
% 0.18/0.46 % (2154410)% WARNING: option uhcvi not known.
% 0.18/0.46 % TRYING [5]
% 0.18/0.46 % (2154410)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1732840333:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.18/0.46 % (2154411)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=433806427:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.18/0.46 % (2154412)dis+10_1_sil=32000:sp=arity:random_seed=4070444796:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.18/0.46 % (2154413)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3731311397:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.18/0.46 % (2154414)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=211128884:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.18/0.46 % (2154415)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4196609986:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.18/0.46 % TRYING [6]
% 0.18/0.46 % (2154415) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2154398-2154415"...
% 0.18/0.46 % (2154411) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2154398-2154411"...
% 0.18/0.46 % (2154410) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2154398-2154410"...
% 0.18/0.46 % (2154415)...printing done.
% 0.18/0.46 % (2154413) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2154398-2154413"...
% 0.18/0.46 % (2154412) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2154398-2154412"...
% 0.18/0.46 % (2154411)...printing done.
% 0.18/0.46 % (2154415)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 % (2154415)------------------------------
% 0.18/0.46 % (2154415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (2154415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (2154415)CaDiCaL version: 2.1.3
% 0.18/0.46 % (2154415)Termination reason: Refutation
% 0.18/0.46 % (2154415)Time elapsed: 0.004 s
% 0.18/0.46 % (2154415)Peak memory usage: 11 MB
% 0.18/0.46 % (2154415)Instructions burned: 5 (million)
% 0.18/0.46 % (2154398)Success in time 0.029 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------