%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HEN001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 10:19:02 AM UTC 2026
% Result : Unsatisfiable 3.50s 1.45s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f10,negated_conjecture,
~ quotient(x,identity,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_everything_divide_identity_is_zero) ).
fof(f11,plain,
~ less_equal(x,identity),
inference(resolution,[],[f1,f10]) ).
fof(f12,plain,
$false,
inference(forward_subsumption_resolution,[],[f11,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:49:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.50/1.45 % (3809081)Input is clausal, will run a generic CNF schedule.
% 3.50/1.45 % (3809088)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=585337761:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.50/1.45 % (3809091)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=192853684:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.50/1.45 % (3809087)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3163943341:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.50/1.45 % (3809089)lrs+10_1_sil=8000:sp=occurrence:random_seed=3407840352:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.50/1.45 % (3809092)dis-21_1_sil=8000:lcm=predicate:random_seed=2840164694:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.50/1.45 % (3809086)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=1264143429:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.50/1.45 % (3809090)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4252966763:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.50/1.45 % (3809091)Also succeeded, but the first one will report.
% 3.50/1.45 % (3809090)First to succeed.
% 3.50/1.45 % (3809089)Also succeeded, but the first one will report.
% 3.50/1.45 % (3809092)Also succeeded, but the first one will report.
% 3.50/1.45 % (3809090)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3809081"
% 3.50/1.45 % (3809090)Refutation found. Thanks to Tanya!
% 3.50/1.45 % SZS status Unsatisfiable for theBenchmark
% 3.50/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.45 % (3809090)------------------------------
% 3.50/1.45 % (3809090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.45 % (3809090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.45 % (3809090)CaDiCaL version: 2.1.3
% 3.50/1.45 % (3809090)Termination reason: Refutation
% 3.50/1.45 % (3809090)Time elapsed: 0.001 s
% 3.50/1.45 % (3809090)Peak memory usage: 88 MB
% 3.50/1.45 % (3809090)------------------------------
% 3.50/1.45 % (3809090)------------------------------
% 3.50/1.45 % (3809081)Success in time 0.409 s
% 3.50/1.45 % Vampire exiting
%------------------------------------------------------------------------------