%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV021-2 : 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 : n026.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 10:20:15 AM UTC 2026
% Result : Unsatisfiable 2.63s 1.35s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 46 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 51 ( 24 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f19,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f42,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f55,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
fof(f72,axiom,
! [X0] : ~ p_LES_EQU_(f_ADD_(X0,n1),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f80,axiom,
! [X0,X1] :
( ~ p_LES_EQU_(X1,X0)
| X0 = X1
| p_LES_EQU_(f_ADD_(X1,n1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_68) ).
fof(f152,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f154,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f155,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f371,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1))) ),
inference(forward_subsumption_resolution,[],[f42,f19]) ).
fof(f383,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0)) ),
inference(forward_subsumption_resolution,[],[f55,f371]) ).
fof(f384,plain,
! [X0] :
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0)) ),
inference(forward_subsumption_resolution,[],[f383,f19]) ).
fof(f387,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0
| p_LES_EQU_(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1),n0) ),
inference(resolution,[],[f384,f80]) ).
fof(f391,plain,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0 ),
inference(forward_subsumption_resolution,[],[f387,f72]) ).
fof(f1086,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(resolution,[],[f391,f152]) ).
fof(f1119,plain,
n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(forward_subsumption_resolution,[],[f1086,f154]) ).
fof(f1138,plain,
( n0 != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)) ),
inference(superposition,[],[f10,f1119]) ).
fof(f1151,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(trivial_inequality_removal,[],[f1138]) ).
fof(f1160,plain,
$false,
inference(forward_subsumption_resolution,[],[f1151,f155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV021-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n026.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 11:00:41 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 2.63/1.35 % (2665996)Input is clausal, will run a generic CNF schedule.
% 2.63/1.35 % (2666006)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3709270412:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.63/1.35 % (2666006)First to succeed.
% 2.63/1.35 % (2666006)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2665996"
% 2.63/1.35 % (2666002)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2146811636:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.63/1.35 % (2666004)lrs+10_1_sil=8000:sp=occurrence:random_seed=3730759868:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.63/1.35 % (2666001)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=3494077874:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.63/1.35 % (2666003)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2598172234:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.63/1.35 % (2666004)Also succeeded, but the first one will report.
% 2.63/1.35 % (2666007)dis-21_1_sil=8000:lcm=predicate:random_seed=755248470: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)
% 2.63/1.35 % (2666005)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1753024091:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.63/1.35 % (2666005)Also succeeded, but the first one will report.
% 2.63/1.35 % (2666007)Instruction limit reached!
% 2.63/1.35 % (2666007)------------------------------
% 2.63/1.35 % (2666007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.35 % (2666007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.35 % (2666007)CaDiCaL version: 2.1.3
% 2.63/1.35 % (2666007)Termination reason: Instruction limit
% 2.63/1.35 % (2666007)Termination phase: Saturation
% 2.63/1.35 % (2666007)Time elapsed: 0.069 s
% 2.63/1.35 % (2666007)Peak memory usage: 89 MB
% 2.63/1.35 % (2666007)Instructions burned: 118 (million)
% 2.63/1.35 % (2666006)Refutation found. Thanks to Tanya!
% 2.63/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.63/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.35 % (2666006)------------------------------
% 2.63/1.35 % (2666006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.35 % (2666006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.35 % (2666006)CaDiCaL version: 2.1.3
% 2.63/1.35 % (2666006)Termination reason: Refutation
% 2.63/1.35 % (2666006)Time elapsed: 0.020 s
% 2.63/1.35 % (2666006)Peak memory usage: 89 MB
% 2.63/1.35 % (2666006)Instructions burned: 50 (million)
% 2.63/1.35 % (2666006)------------------------------
% 2.63/1.35 % (2666006)------------------------------
% 2.63/1.35 % (2665996)Success in time 0.292 s
% 2.63/1.35 % Vampire exiting
%------------------------------------------------------------------------------