%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV010-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 10:20:11 AM UTC 2026
% Result : Unsatisfiable 3.57s 1.38s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 24 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0] : level(X0) = int_level(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f29,axiom,
! [X0] :
( int_level(X0) != n0
| p_Empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f30,plain,
! [X0] :
( n0 != int_level(X0)
| p_Empty(X0) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,axiom,
! [X0] :
( int_level(X0) = n0
| ~ p_Empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f32,plain,
! [X0] :
( n0 = int_level(X0)
| ~ p_Empty(X0) ),
inference(reorient_equations,[],[f31]) ).
fof(f113,negated_conjecture,
( ~ p_Empty(t_139)
| level(t_139) != n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f114,plain,
( ~ p_Empty(t_139)
| n0 != level(t_139) ),
inference(reorient_equations,[],[f113]) ).
fof(f115,negated_conjecture,
( p_Empty(t_139)
| level(t_139) = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f116,plain,
( p_Empty(t_139)
| n0 = level(t_139) ),
inference(reorient_equations,[],[f115]) ).
fof(f117,plain,
( ~ p_Empty(t_139)
| n0 != int_level(t_139) ),
inference(definition_unfolding,[],[f114,f26]) ).
fof(f118,plain,
( p_Empty(t_139)
| n0 = int_level(t_139) ),
inference(definition_unfolding,[],[f116,f26]) ).
fof(f120,plain,
n0 = int_level(t_139),
inference(forward_subsumption_resolution,[],[f118,f32]) ).
fof(f121,plain,
n0 != int_level(t_139),
inference(forward_subsumption_resolution,[],[f117,f30]) ).
fof(f122,plain,
$false,
inference(forward_subsumption_resolution,[],[f121,f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV010-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 10:52:30 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 3.57/1.38 % (2219220)Input is clausal, will run a generic CNF schedule.
% 3.57/1.38 % (2219227)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3174656031:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.57/1.38 % (2219225)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=3298181273:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.57/1.38 % (2219226)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3094563326:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.57/1.38 % (2219231)dis-21_1_sil=8000:lcm=predicate:random_seed=2478344970: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)
% 3.57/1.38 % (2219229)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3475573131:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.57/1.38 % (2219230)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2065784905:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.57/1.38 % (2219228)lrs+10_1_sil=8000:sp=occurrence:random_seed=1720674920:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.57/1.38 % (2219228)First to succeed.
% 3.57/1.38 % (2219228)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2219220"
% 3.57/1.38 % (2219229)Also succeeded, but the first one will report.
% 3.57/1.38 % (2219231)Also succeeded, but the first one will report.
% 3.57/1.38 % (2219230)Also succeeded, but the first one will report.
% 3.57/1.38 % (2219228)Refutation found. Thanks to Tanya!
% 3.57/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.57/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.38 % (2219228)------------------------------
% 3.57/1.38 % (2219228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.38 % (2219228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.38 % (2219228)CaDiCaL version: 2.1.3
% 3.57/1.38 % (2219228)Termination reason: Refutation
% 3.57/1.38 % (2219228)Time elapsed: 0.002 s
% 3.57/1.38 % (2219228)Peak memory usage: 88 MB
% 3.57/1.38 % (2219228)Instructions burned: 1 (million)
% 3.57/1.38 % (2219228)------------------------------
% 3.57/1.38 % (2219228)------------------------------
% 3.57/1.38 % (2219220)Success in time 0.441 s
% 3.57/1.38 % Vampire exiting
%------------------------------------------------------------------------------