%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL848-1 : TPTP v9.3.1. Released v4.1.0.
% 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 12:00:50 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-5 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f797,axiom,
! [X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IT_OVar_0) ).
fof(f832,axiom,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f833,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1189,plain,
! [X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
| c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
inference(consistent_polarity_flipping,[],[f797]) ).
fof(f1190,plain,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
inference(consistent_polarity_flipping,[],[f832]) ).
fof(f3087,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
inference(resolution,[],[f1189,f833]) ).
fof(f3089,plain,
$false,
inference(forward_subsumption_resolution,[],[f3087,f1190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL848-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:00:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.20/0.56 % (18931)Will run a generic schedule for satisfiability detection.
% 0.20/0.56 % (18940)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=939817201:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.56 % (18937)% WARNING: option uhcvi not known.
% 0.20/0.56 % (18936)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1170632647_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.56 % (18937)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1139226526:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.56 % (18938)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1015059734:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.56 % (18939)dis+10_1_sil=32000:sp=arity:random_seed=2749101014:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.56 % (18941)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3100718280:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.56 % (18942)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=933319604:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.56 % (18940)Instruction limit reached!
% 0.20/0.56 % (18940)------------------------------
% 0.20/0.56 % (18940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.56 % (18940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.56 % (18940)CaDiCaL version: 2.1.3
% 0.20/0.56 % (18940)Termination reason: Instruction limit
% 0.20/0.56 % (18940)Termination phase: Saturation
% 0.20/0.56 % (18940)Time elapsed: 0.041 s
% 0.20/0.56 % (18940)Peak memory usage: 13 MB
% 0.20/0.56 % (18940)Instructions burned: 116 (million)
% 0.20/0.56 % (18950)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=183061101:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.56 % (18939)Instruction limit reached!
% 0.20/0.56 % (18939)------------------------------
% 0.20/0.56 % (18939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.56 % (18939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.56 % (18939)CaDiCaL version: 2.1.3
% 0.20/0.56 % (18939)Termination reason: Instruction limit
% 0.20/0.56 % (18939)Termination phase: Saturation
% 0.20/0.56 % (18939)Time elapsed: 0.067 s
% 0.20/0.56 % (18939)Peak memory usage: 13 MB
% 0.20/0.56 % (18939)Instructions burned: 103 (million)
% 0.20/0.56 % (18937) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-18931-18937"...
% 0.20/0.56 % (18937)...printing done.
% 0.20/0.56 % (18937)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (18937)------------------------------
% 0.20/0.56 % (18937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.56 % (18937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.56 % (18937)CaDiCaL version: 2.1.3
% 0.20/0.56 % (18937)Termination reason: Refutation
% 0.20/0.56 % (18937)Time elapsed: 0.070 s
% 0.20/0.56 % (18937)Peak memory usage: 13 MB
% 0.20/0.56 % (18937)Instructions burned: 97 (million)
% 0.20/0.56 % (18931)Success in time 0.127 s
% 0.20/0.56 % Vampire exiting
%------------------------------------------------------------------------------