%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HEN001-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 10:19:02 AM UTC 2026
% Result : Unsatisfiable 2.91s 1.23s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] : divide(X0,identity) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f9,plain,
! [X0] : zero = divide(X0,identity),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
divide(a,identity) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_everything_divide_id_is_zero) ).
fof(f11,plain,
zero != divide(a,identity),
inference(reorient_equations,[],[f10]) ).
fof(f12,plain,
zero != zero,
inference(superposition,[],[f11,f9]) ).
fof(f13,plain,
$false,
inference(trivial_inequality_removal,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN001-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 % Computer : n012.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.02/0.34 % CPULimit : 300
% 0.02/0.34 % WCLimit : 300
% 0.02/0.34 % DateTime : Sun Sep 27 10:48:49 UTC 2026
% 0.02/0.34 % CPUTime :
% 0.02/0.34 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.02/0.36 Running first-order theorem proving
% 0.02/0.36 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.91/1.23 % (2200345)Input is clausal, will run a generic CNF schedule.
% 2.91/1.23 % (2200355)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3860214095:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 2.91/1.23 % (2200351)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=746660165:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 2.91/1.23 % (2200356)dis-21_1_sil=8000:lcm=predicate:random_seed=4181592219:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 2.91/1.23 % (2200353)lrs+10_1_sil=8000:sp=occurrence:random_seed=2619535628:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 2.91/1.23 % (2200354)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=407989233:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 2.91/1.23 % (2200350)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1922159720:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 2.91/1.23 % (2200352)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1825814532:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 2.91/1.23 % (2200355)First to succeed.
% 2.91/1.23 % (2200355)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2200345"
% 2.91/1.23 % (2200353)Also succeeded, but the first one will report.
% 2.91/1.23 % (2200356)Also succeeded, but the first one will report.
% 2.91/1.23 % (2200354)Also succeeded, but the first one will report.
% 2.91/1.23 % (2200355)Refutation found. Thanks to Tanya!
% 2.91/1.23 % SZS status Unsatisfiable for theBenchmark
% 2.91/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 2.91/1.23 % (2200355)------------------------------
% 2.91/1.23 % (2200355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.23 % (2200355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.23 % (2200355)CaDiCaL version: 2.1.3
% 2.91/1.23 % (2200355)Termination reason: Refutation
% 2.91/1.23 % (2200355)Time elapsed: 0.001 s
% 2.91/1.23 % (2200355)Peak memory usage: 88 MB
% 2.91/1.23 % (2200355)------------------------------
% 2.91/1.23 % (2200355)------------------------------
% 2.91/1.23 % (2200345)Success in time 0.347 s
% 2.91/1.23 % Vampire exiting
%------------------------------------------------------------------------------