%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN004-5 : 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 : 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 10:19:14 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 16 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
fof(f7,plain,
! [X0,X1] :
( divide(X0,X1) != zero
| zero != divide(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f6]) ).
fof(f10,axiom,
! [X0] : divide(X0,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f11,plain,
! [X0] : zero = divide(X0,X0),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
divide(a,zero) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_zero_is_x) ).
fof(f13,plain,
a != divide(a,zero),
inference(reorient_equations,[],[f12]) ).
fof(f21,plain,
! [X0] :
( zero != zero
| zero != divide(X0,zero)
| zero = X0 ),
inference(superposition,[],[f7,f5]) ).
fof(f23,plain,
! [X0,X1] :
( zero != zero
| zero != divide(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(superposition,[],[f7,f1]) ).
fof(f24,plain,
! [X0,X1] :
( zero != divide(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(trivial_inequality_removal,[],[f23]) ).
fof(f26,plain,
! [X0] :
( zero != divide(X0,zero)
| zero = X0 ),
inference(trivial_inequality_removal,[],[f21]) ).
fof(f35,plain,
! [X0,X1] : zero = divide(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
inference(superposition,[],[f3,f5]) ).
fof(f154,plain,
! [X0] : zero = divide(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(superposition,[],[f35,f11]) ).
fof(f241,plain,
! [X0] :
( zero != zero
| zero = divide(divide(X0,divide(X0,zero)),zero) ),
inference(superposition,[],[f26,f154]) ).
fof(f255,plain,
! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
inference(trivial_inequality_removal,[],[f241]) ).
fof(f375,plain,
! [X0] :
( zero != zero
| zero = divide(X0,divide(X0,zero)) ),
inference(superposition,[],[f26,f255]) ).
fof(f391,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(trivial_inequality_removal,[],[f375]) ).
fof(f512,plain,
! [X0] :
( zero != zero
| divide(X0,zero) = X0 ),
inference(superposition,[],[f24,f391]) ).
fof(f535,plain,
! [X0] : divide(X0,zero) = X0,
inference(trivial_inequality_removal,[],[f512]) ).
fof(f1234,plain,
a != a,
inference(superposition,[],[f13,f535]) ).
fof(f1235,plain,
$false,
inference(trivial_inequality_removal,[],[f1234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN004-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n005.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
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:49:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.46 % (3810565)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (3810575)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=463139827:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (3810572)% WARNING: option uhcvi not known.
% 0.10/0.46 % (3810571)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2233214719_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (3810573)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3695099154:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (3810574)dis+10_1_sil=32000:sp=arity:random_seed=1481733338:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (3810572)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2560783752:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (3810576)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2422107541:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (3810577)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1620876286:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % (3810575) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3810565-3810575"...
% 0.10/0.46 % TRYING [4]
% 0.10/0.46 % (3810575)...printing done.
% 0.10/0.46 % (3810575)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (3810575)------------------------------
% 0.10/0.46 % (3810575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (3810575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (3810575)CaDiCaL version: 2.1.3
% 0.10/0.46 % (3810575)Termination reason: Refutation
% 0.10/0.46 % (3810575)Time elapsed: 0.018 s
% 0.10/0.46 % (3810575)Peak memory usage: 11 MB
% 0.10/0.46 % (3810575)Instructions burned: 40 (million)
% 0.10/0.46 % (3810565)Success in time 0.045 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------