%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n003.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 11:56:50 AM UTC 2026
% Result : Unsatisfiable 0.21s 2.21s
% Output : Refutation 0.21s
% 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 : 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 : 2 ( 2 !; 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(f2503,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,[],[f797,f833]) ).
fof(f2507,plain,
$false,
inference(forward_subsumption_resolution,[],[f2503,f832]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.13/0.39 % Computer : n003.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 17:02:26 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 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
% 0.21/2.21 % (784377)Input is clausal, will run a generic CNF schedule.
% 0.21/2.21 % (784393)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2175696758:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.21/2.21 % (784392)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2419392509:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.21/2.21 % (784391)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=743495035:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.21/2.21 % (784397)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=363002200:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.21/2.21 % (784394)lrs+10_1_sil=8000:sp=occurrence:random_seed=562154348:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.21/2.21 % (784395)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=716578530:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.21/2.21 % (784398)dis-21_1_sil=8000:lcm=predicate:random_seed=1060747250: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)
% 0.21/2.21 % (784394)First to succeed.
% 0.21/2.21 % (784394)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-784377"
% 0.21/2.21 % (784395)Also succeeded, but the first one will report.
% 0.21/2.21 % (784398)Instruction limit reached!
% 0.21/2.21 % (784398)------------------------------
% 0.21/2.21 % (784398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.21 % (784398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.21 % (784398)CaDiCaL version: 2.1.3
% 0.21/2.21 % (784398)Termination reason: Instruction limit
% 0.21/2.21 % (784398)Termination phase: Saturation
% 0.21/2.21 % (784398)Time elapsed: 0.116 s
% 0.21/2.21 % (784398)Peak memory usage: 89 MB
% 0.21/2.21 % (784398)Instructions burned: 117 (million)
% 0.21/2.21 % (784397)Instruction limit reached!
% 0.21/2.21 % (784397)------------------------------
% 0.21/2.21 % (784397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.21 % (784397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.21 % (784397)CaDiCaL version: 2.1.3
% 0.21/2.21 % (784397)Termination reason: Instruction limit
% 0.21/2.21 % (784397)Termination phase: Saturation
% 0.21/2.21 % (784397)Time elapsed: 0.198 s
% 0.21/2.21 % (784397)Peak memory usage: 90 MB
% 0.21/2.21 % (784397)Instructions burned: 180 (million)
% 0.21/2.21 % (784411)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1941778561:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 0.21/2.21 % (784411)Also succeeded, but the first one will report.
% 0.21/2.21 % (784412)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2443951759:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2994 on theBenchmark for (2994ds/189Mi)
% 0.21/2.21 % (784394)Refutation found. Thanks to Tanya!
% 0.21/2.21 % SZS status Unsatisfiable for theBenchmark
% 0.21/2.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/2.21 % (784394)------------------------------
% 0.21/2.21 % (784394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.21 % (784394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.21 % (784394)CaDiCaL version: 2.1.3
% 0.21/2.21 % (784394)Termination reason: Refutation
% 0.21/2.21 % (784394)Time elapsed: 0.066 s
% 0.21/2.21 % (784394)Peak memory usage: 89 MB
% 0.21/2.21 % (784394)Instructions burned: 62 (million)
% 0.21/2.21 % (784394)------------------------------
% 0.21/2.21 % (784394)------------------------------
% 0.21/2.21 % (784377)Success in time 0.814 s
% 0.21/2.21 % Vampire exiting
%------------------------------------------------------------------------------