%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN007-5 : 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 : n005.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 0.16s 0.56s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 15 unt; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 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 : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',quotient_smaller_than_numerator) ).
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,
! [X2,X0,X1] :
( divide(X0,X1) != zero
| divide(X1,X2) != zero
| divide(X0,X2) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_divide_to_zero) ).
fof(f11,plain,
! [X2,X0,X1] :
( zero != divide(X1,X2)
| divide(X0,X1) != zero
| zero = divide(X0,X2) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
divide(a,b) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_divide_b_is_zero) ).
fof(f13,plain,
zero = divide(a,b),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
divide(divide(c,b),divide(c,a)) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_divide2) ).
fof(f15,plain,
zero != divide(divide(c,b),divide(c,a)),
inference(reorient_equations,[],[f14]) ).
fof(f22,plain,
! [X0] :
( zero != zero
| zero != divide(X0,zero)
| zero = X0 ),
inference(superposition,[],[f7,f5]) ).
fof(f25,plain,
! [X0] :
( zero != divide(X0,zero)
| zero = X0 ),
inference(trivial_inequality_removal,[],[f22]) ).
fof(f46,plain,
! [X0] : zero = divide(divide(divide(X0,b),zero),divide(divide(X0,a),b)),
inference(superposition,[],[f3,f13]) ).
fof(f56,plain,
! [X2,X0,X1] :
( zero != zero
| zero != divide(divide(divide(X0,X2),X1),divide(divide(X0,X1),divide(X2,X1)))
| divide(divide(X0,X1),divide(X2,X1)) = divide(divide(X0,X2),X1) ),
inference(superposition,[],[f7,f3]) ).
fof(f58,plain,
! [X2,X0,X1] :
( zero != divide(divide(divide(X0,X2),X1),divide(divide(X0,X1),divide(X2,X1)))
| divide(divide(X0,X1),divide(X2,X1)) = divide(divide(X0,X2),X1) ),
inference(trivial_inequality_removal,[],[f56]) ).
fof(f74,plain,
! [X2,X0,X1] :
( zero != zero
| zero != divide(X2,divide(X0,X1))
| zero = divide(X2,X0) ),
inference(superposition,[],[f11,f1]) ).
fof(f81,plain,
! [X2,X0,X1] :
( zero != divide(X2,divide(X0,X1))
| zero = divide(X2,X0) ),
inference(trivial_inequality_removal,[],[f74]) ).
fof(f269,plain,
! [X0] :
( zero != zero
| zero = divide(divide(divide(X0,b),zero),divide(X0,a)) ),
inference(superposition,[],[f81,f46]) ).
fof(f282,plain,
! [X0] : zero = divide(divide(divide(X0,b),zero),divide(X0,a)),
inference(trivial_inequality_removal,[],[f269]) ).
fof(f2373,plain,
! [X0] :
( zero != divide(zero,divide(divide(divide(X0,b),divide(X0,a)),divide(zero,divide(X0,a))))
| zero = divide(divide(divide(X0,b),divide(X0,a)),divide(zero,divide(X0,a))) ),
inference(superposition,[],[f58,f282]) ).
fof(f2433,plain,
! [X0] : zero = divide(divide(divide(X0,b),divide(X0,a)),divide(zero,divide(X0,a))),
inference(forward_subsumption_resolution,[],[f2373,f5]) ).
fof(f2451,plain,
! [X0] : zero = divide(divide(divide(X0,b),divide(X0,a)),zero),
inference(forward_demodulation,[],[f2433,f5]) ).
fof(f4422,plain,
! [X0] :
( zero != zero
| zero = divide(divide(X0,b),divide(X0,a)) ),
inference(superposition,[],[f25,f2451]) ).
fof(f4467,plain,
! [X0] : zero = divide(divide(X0,b),divide(X0,a)),
inference(trivial_inequality_removal,[],[f4422]) ).
fof(f4505,plain,
$false,
inference(backward_subsumption_resolution,[],[f15,f4467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN007-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n005.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 10:50:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.16/0.56 % (3812392)Will run a generic schedule for satisfiability detection.
% 0.16/0.56 % (3812401)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1139530468:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.56 % (3812398)% WARNING: option uhcvi not known.
% 0.16/0.56 % (3812398)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2930091032:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.56 % (3812397)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1301864447_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.56 % (3812400)dis+10_1_sil=32000:sp=arity:random_seed=2365848748:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.56 % (3812399)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1022890220:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.56 % (3812402)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1789247900:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.56 % (3812403)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=723274067:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.56 % TRYING [1]
% 0.16/0.56 % TRYING [2]
% 0.16/0.56 % TRYING [3]
% 0.16/0.56 % TRYING [4]
% 0.16/0.56 % TRYING [5]
% 0.16/0.56 % (3812401)Instruction limit reached!
% 0.16/0.56 % (3812401)------------------------------
% 0.16/0.56 % (3812401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (3812401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (3812401)CaDiCaL version: 2.1.3
% 0.16/0.56 % (3812401)Termination reason: Instruction limit
% 0.16/0.56 % (3812401)Termination phase: Saturation
% 0.16/0.56 % (3812401)Time elapsed: 0.034 s
% 0.16/0.56 % (3812401)Peak memory usage: 12 MB
% 0.16/0.56 % (3812401)Instructions burned: 117 (million)
% 0.16/0.56 % TRYING [6]
% 0.16/0.56 % (3812411)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2091568446:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.56 % TRYING [1]
% 0.16/0.56 % TRYING [2]
% 0.16/0.56 % TRYING [3]
% 0.16/0.56 % TRYING [4]
% 0.16/0.56 % TRYING [5]
% 0.16/0.56 % (3812400)Instruction limit reached!
% 0.16/0.56 % (3812400)------------------------------
% 0.16/0.56 % (3812400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (3812400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (3812400)CaDiCaL version: 2.1.3
% 0.16/0.56 % (3812400)Termination reason: Instruction limit
% 0.16/0.56 % (3812400)Termination phase: Saturation
% 0.16/0.56 % (3812400)Time elapsed: 0.054 s
% 0.16/0.56 % (3812400)Peak memory usage: 12 MB
% 0.16/0.56 % (3812400)Instructions burned: 105 (million)
% 0.16/0.56 % TRYING [6]
% 0.16/0.56 % (3812402)Instruction limit reached!
% 0.16/0.56 % (3812402)------------------------------
% 0.16/0.56 % (3812402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (3812402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (3812402)CaDiCaL version: 2.1.3
% 0.16/0.56 % (3812402)Termination reason: Instruction limit
% 0.16/0.56 % (3812402)Termination phase: Saturation
% 0.16/0.56 % (3812402)Time elapsed: 0.071 s
% 0.16/0.56 % (3812402)Peak memory usage: 12 MB
% 0.16/0.56 % (3812402)Instructions burned: 131 (million)
% 0.16/0.56 % (3812413)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=728466484:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.56 % (3812414)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1316847224:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.16/0.56 % (3812403)Instruction limit reached!
% 0.16/0.56 % (3812403)------------------------------
% 0.16/0.56 % (3812403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (3812403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (3812403)CaDiCaL version: 2.1.3
% 0.16/0.56 % (3812403)Termination reason: Instruction limit
% 0.16/0.56 % (3812403)Termination phase: Saturation
% 0.16/0.56 % (3812403)Time elapsed: 0.092 s
% 0.16/0.56 % (3812403)Peak memory usage: 12 MB
% 0.16/0.56 % (3812403)Instructions burned: 159 (million)
% 0.16/0.56 % (3812398) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3812392-3812398"...
% 0.16/0.56 % TRYING [7]
% 0.16/0.56 % (3812398)...printing done.
% 0.16/0.56 % (3812398)Refutation found. Thanks to Tanya!
% 0.16/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.56 % (3812398)------------------------------
% 0.16/0.56 % (3812398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (3812398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (3812398)CaDiCaL version: 2.1.3
% 0.16/0.56 % (3812398)Termination reason: Refutation
% 0.16/0.56 % (3812398)Time elapsed: 0.097 s
% 0.16/0.56 % (3812398)Peak memory usage: 13 MB
% 0.16/0.56 % (3812398)Instructions burned: 185 (million)
% 0.16/0.56 % (3812392)Success in time 0.133 s
% 0.16/0.56 % Vampire exiting
%------------------------------------------------------------------------------