%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL819-1 : 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 : 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 11:56:43 AM UTC 2026
% Result : Unsatisfiable 8.45s 2.13s
% Output : Refutation 9.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-5 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBC(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBC__def_0) ).
fof(f84,axiom,
! [X2,X3,X0,X1,X4] : c_List_Omap(X0,c_List_Olist_OCons(X1,X2,X3),X3,X4) = c_List_Olist_OCons(hAPP(X0,X1),c_List_Omap(X0,X2,X3,X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map_Osimps_I2_J_0) ).
fof(f201,axiom,
! [X2,X0,X1] : hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,X0),X2),c_List_Omap(c_COMBC(c_Lambda_Olift,X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lift__map_0) ).
fof(f278,axiom,
! [X0,X1] : hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__eq_0) ).
fof(f310,axiom,
v_n____ = v_i____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_True_0) ).
fof(f311,plain,
v_i____ = v_n____,
inference(reorient_equations,[],[f310]) ).
fof(f320,axiom,
! [X2,X3,X0,X1] : hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2),X3) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X2,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X3,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__map_0) ).
fof(f338,axiom,
! [X2,X3,X0,X1,X4,X5] : c_List_Ofoldl(X0,X1,c_List_Olist_OCons(X2,X3,X4),X5,X4) = c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X5,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldl__Cons_0) ).
fof(f356,axiom,
! [X2,X0,X1] : hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),X1)),X2),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__lift_0) ).
fof(f367,axiom,
hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)),hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____))),c_HOL_Ozero__class_Ozero(tc_nat)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f370,axiom,
v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f371,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f401,plain,
hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_n____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)),hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_n____))),c_HOL_Ozero__class_Ozero(tc_nat)))),
inference(definition_unfolding,[],[f367,f311,f311]) ).
fof(f403,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_n____))),
inference(definition_unfolding,[],[f371,f311]) ).
fof(f426,plain,
! [X2,X0,X1] : hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X0),X1) = c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X0,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X1,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
inference(superposition,[],[f320,f278]) ).
fof(f565,plain,
! [X2,X3,X0,X1] : hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3),X1) = c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X3,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X1,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
inference(superposition,[],[f320,f356]) ).
fof(f597,plain,
! [X2,X3,X0,X1,X4] : hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)),X4),X2) = c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_List_Olist_OCons(X1,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X4,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
inference(superposition,[],[f338,f565]) ).
fof(f660,plain,
! [X2,X3,X0,X1] : c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X3,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_Lambda_Olift,X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)),X3),X2),
inference(superposition,[],[f565,f201]) ).
fof(f662,plain,
! [X2,X3,X0,X1] : c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) = c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X3,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_Lambda_Olift,X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
inference(forward_demodulation,[],[f660,f356]) ).
fof(f676,plain,
! [X2,X3,X0,X1] : c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_List_Omap(c_COMBC(c_Lambda_Olift,X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)),X1),X2),
inference(superposition,[],[f320,f662]) ).
fof(f714,plain,
hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_n____))),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_n____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
inference(superposition,[],[f401,f676]) ).
fof(f720,plain,
hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_n____))),c_HOL_Ozero__class_Ozero(tc_nat))),v_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_n____))),
inference(forward_demodulation,[],[f714,f565]) ).
fof(f731,plain,
hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_n____))),v_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_n____))),
inference(forward_demodulation,[],[f720,f278]) ).
fof(f822,plain,
! [X2,X3,X0,X1,X4] : c_List_Ofoldl(c_Lambda_OdB_OApp,X4,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X0,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X1,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(X2,X3,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,X4),hAPP(c_COMBC(c_COMBC(c_Lambda_Osubst,X0,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X1,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2))),X1),X3,tc_Lambda_OdB,tc_Lambda_OdB)),X0),X1),
inference(superposition,[],[f597,f84]) ).
fof(f850,plain,
! [X2,X3,X0,X1,X4] : c_List_Ofoldl(c_Lambda_OdB_OApp,X4,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X0,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X1,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(X2,X3,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,X4),hAPP(hAPP(c_COMBC(c_Lambda_Osubst,X0,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X2),X1))),X1),X3,tc_Lambda_OdB,tc_Lambda_OdB)),X0),X1),
inference(forward_demodulation,[],[f822,f68]) ).
fof(f861,plain,
! [X2,X3,X0,X1,X4] : c_List_Ofoldl(c_Lambda_OdB_OApp,X4,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X0,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X1,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(X2,X3,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,X4),hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X0),X1))),X1),X3,tc_Lambda_OdB,tc_Lambda_OdB)),X0),X1),
inference(forward_demodulation,[],[f850,f68]) ).
fof(f906,plain,
hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,v_u____,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_n____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
inference(superposition,[],[f731,f861]) ).
fof(f912,plain,
hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_n____))),
inference(forward_demodulation,[],[f906,f426]) ).
fof(f928,plain,
hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_n____))),
inference(forward_demodulation,[],[f912,f370]) ).
fof(f937,plain,
$false,
inference(forward_subsumption_resolution,[],[f928,f403]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL819-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n005.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 16:54:47 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 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
% 8.45/2.13 % (17254)Input is clausal, will run a generic CNF schedule.
% 8.45/2.13 % (17265)dis-21_1_sil=8000:lcm=predicate:random_seed=2406754763: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)
% 8.45/2.13 % (17259)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=2931121166:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.45/2.13 % (17260)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1856164945:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.45/2.13 % (17261)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3870930084:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.45/2.13 % (17263)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1250613903:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.45/2.13 % (17262)lrs+10_1_sil=8000:sp=occurrence:random_seed=2032139188:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.45/2.13 % (17265)Instruction limit reached!
% 8.45/2.13 % (17265)------------------------------
% 8.45/2.13 % (17265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.13 % (17265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.13 % (17265)CaDiCaL version: 2.1.3
% 8.45/2.13 % (17265)Termination reason: Instruction limit
% 8.45/2.13 % (17265)Termination phase: Saturation
% 8.45/2.13 % (17265)Time elapsed: 0.038 s
% 8.45/2.13 % (17265)Peak memory usage: 89 MB
% 8.45/2.13 % (17265)Instructions burned: 120 (million)
% 8.45/2.13 % (17264)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1965206417:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.45/2.13 % (17262)Instruction limit reached!
% 8.45/2.13 % (17262)------------------------------
% 8.45/2.13 % (17262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.13 % (17262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.13 % (17262)CaDiCaL version: 2.1.3
% 8.45/2.13 % (17262)Termination reason: Instruction limit
% 8.45/2.13 % (17262)Termination phase: Saturation
% 8.45/2.13 % (17262)Time elapsed: 0.074 s
% 8.45/2.13 % (17262)Peak memory usage: 89 MB
% 8.45/2.13 % (17262)Instructions burned: 107 (million)
% 8.45/2.13 % (17263)Instruction limit reached!
% 8.45/2.13 % (17263)------------------------------
% 8.45/2.13 % (17263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.13 % (17263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.13 % (17263)CaDiCaL version: 2.1.3
% 8.45/2.13 % (17263)Termination reason: Instruction limit
% 8.45/2.13 % (17263)Termination phase: Saturation
% 8.45/2.13 % (17263)Time elapsed: 0.081 s
% 8.45/2.13 % (17263)Peak memory usage: 89 MB
% 8.45/2.13 % (17263)Instructions burned: 115 (million)
% 8.45/2.13 % (17273)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=657036506:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.45/2.13 % (17273)Refutation not found, incomplete strategy
% 8.45/2.13 % (17273)------------------------------
% 8.45/2.13 % (17273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.13 % (17273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.13 % (17273)CaDiCaL version: 2.1.3
% 8.45/2.13 % (17273)Termination reason: Refutation not found, incomplete strategy
% 8.45/2.13 % (17273)Time elapsed: 0.003 s
% 8.45/2.13 % (17273)Peak memory usage: 88 MB
% 8.45/2.13 % (17273)Instructions burned: 8 (million)
% 8.45/2.13 % (17264)Instruction limit reached!
% 8.45/2.13 % (17264)------------------------------
% 8.45/2.13 % (17264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.13 % (17264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.13 % (17264)CaDiCaL version: 2.1.3
% 8.45/2.13 % (17264)Termination reason: Instruction limit
% 8.45/2.13 % (17264)Termination phase: Saturation
% 8.45/2.13 % (17264)Time elapsed: 0.123 s
% 8.45/2.13 % (17264)Peak memory usage: 90 MB
% 8.45/2.13 % (17264)Instructions burned: 180 (million)
% 8.45/2.13 % (17274)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=336891635:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.45/2.13 % (17275)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2147140807:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.45/2.13 % (17275)Refutation not found, incomplete strategy
% 8.45/2.13 % (17275)------------------------------
% 8.45/2.13 % (17275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.13 % (17275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.13 % (17275)CaDiCaL version: 2.1.3
% 8.45/2.13 % (17275)Termination reason: Refutation not found, incomplete strategy
% 8.45/2.13 % (17275)Time elapsed: 0.010 s
% 8.45/2.13 % (17275)Peak memory usage: 88 MB
% 8.45/2.13 % (17275)Instructions burned: 15 (million)
% 8.45/2.13 % (17274)Refutation not found, incomplete strategy
% 8.45/2.13 % (17274)------------------------------
% 8.45/2.13 % (17274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.13 % (17274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.13 % (17274)CaDiCaL version: 2.1.3
% 8.45/2.13 % (17274)Termination reason: Refutation not found, incomplete strategy
% 8.45/2.13 % (17274)Time elapsed: 0.017 s
% 8.45/2.13 % (17274)Peak memory usage: 89 MB
% 8.45/2.13 % (17274)Instructions burned: 30 (million)
% 8.45/2.13 % (17273)------------------------------
% 8.45/2.13 % (17273)------------------------------
% 8.45/2.13 % (17277)lrs+10_64_to=lpo:sil=8000:random_seed=1481893053:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.45/2.13 % (17280)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3188147542:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.45/2.13 % (17277)Instruction limit reached!
% 8.45/2.13 % (17277)------------------------------
% 8.45/2.13 % (17277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.13 % (17277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.13 % (17277)CaDiCaL version: 2.1.3
% 8.45/2.13 % (17277)Termination reason: Instruction limit
% 8.45/2.13 % (17277)Termination phase: Saturation
% 8.45/2.13 % (17277)Time elapsed: 0.086 s
% 8.45/2.13 % (17277)Peak memory usage: 90 MB
% 8.45/2.13 % (17277)Instructions burned: 127 (million)
% 8.45/2.13 % (17280)Instruction limit reached!
% 8.45/2.13 % (17280)------------------------------
% 8.45/2.13 % (17280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.13 % (17280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.13 % (17280)CaDiCaL version: 2.1.3
% 8.45/2.13 % (17280)Termination reason: Instruction limit
% 8.45/2.13 % (17280)Termination phase: Saturation
% 8.45/2.13 % (17280)Time elapsed: 0.071 s
% 8.45/2.13 % (17280)Peak memory usage: 92 MB
% 8.45/2.13 % (17280)Instructions burned: 196 (million)
% 8.45/2.13 % (17275)------------------------------
% 8.45/2.13 % (17275)------------------------------
% 8.45/2.13 % (17274)------------------------------
% 8.45/2.13 % (17274)------------------------------
% 8.45/2.13 % (17283)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=121952956:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.45/2.13 % (17284)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2753450943:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.45/2.13 % (17283)Instruction limit reached!
% 8.45/2.13 % (17283)------------------------------
% 8.45/2.13 % (17283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.13 % (17283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.13 % (17283)CaDiCaL version: 2.1.3
% 8.45/2.13 % (17283)Termination reason: Instruction limit
% 8.45/2.13 % (17283)Termination phase: Saturation
% 8.45/2.13 % (17283)Time elapsed: 0.103 s
% 8.45/2.13 % (17283)Peak memory usage: 91 MB
% 8.45/2.13 % (17283)Instructions burned: 158 (million)
% 8.45/2.13 % (17285)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=483072598:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.45/2.13 % (17286)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4238699057:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.45/2.13 % (17286)Refutation not found, incomplete strategy
% 8.45/2.13 % (17286)------------------------------
% 8.45/2.13 % (17286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.13 % (17286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.13 % (17286)CaDiCaL version: 2.1.3
% 8.45/2.13 % (17286)Termination reason: Refutation not found, incomplete strategy
% 8.45/2.13 % (17286)Time elapsed: 0.010 s
% 8.45/2.13 % (17286)Peak memory usage: 88 MB
% 8.45/2.13 % (17286)Instructions burned: 15 (million)
% 8.45/2.13 % (17285)Instruction limit reached!
% 8.45/2.13 % (17285)------------------------------
% 8.45/2.13 % (17285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.13 % (17285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.13 % (17285)CaDiCaL version: 2.1.3
% 8.45/2.13 % (17285)Termination reason: Instruction limit
% 8.45/2.13 % (17285)Termination phase: Saturation
% 8.45/2.13 % (17285)Time elapsed: 0.056 s
% 8.45/2.13 % (17285)Peak memory usage: 89 MB
% 8.45/2.13 % (17285)Instructions burned: 108 (million)
% 8.45/2.13 % (17290)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3539044243:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.45/2.13 % (17292)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4228052678:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.45/2.13 % (17260)First to succeed.
% 8.45/2.13 % (17260)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17254"
% 8.45/2.13 % (17286)------------------------------
% 8.45/2.13 % (17286)------------------------------
% 8.45/2.13 % (17290)Instruction limit reached!
% 8.45/2.13 % (17290)------------------------------
% 8.45/2.13 % (17290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.13 % (17290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.13 % (17290)CaDiCaL version: 2.1.3
% 8.45/2.13 % (17290)Termination reason: Instruction limit
% 8.45/2.13 % (17290)Termination phase: Saturation
% 8.45/2.13 % (17290)Time elapsed: 0.150 s
% 8.45/2.13 % (17290)Peak memory usage: 90 MB
% 8.45/2.13 % (17290)Instructions burned: 242 (million)
% 8.45/2.13 % (17259)Also succeeded, but the first one will report.
% 8.45/2.13 % (17295)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1395798409:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 8.45/2.13 % (17296)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4104187559:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 8.45/2.13 % (17295)Instruction limit reached!
% 8.45/2.13 % (17295)------------------------------
% 8.45/2.13 % (17295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.13 % (17295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.13 % (17295)CaDiCaL version: 2.1.3
% 8.45/2.13 % (17295)Termination reason: Instruction limit
% 8.45/2.13 % (17295)Termination phase: Saturation
% 8.45/2.13 % (17295)Time elapsed: 0.074 s
% 8.45/2.13 % (17295)Peak memory usage: 88 MB
% 8.45/2.13 % (17295)Instructions burned: 134 (million)
% 8.45/2.13 % (17260)Refutation found. Thanks to Tanya!
% 8.45/2.13 % SZS status Unsatisfiable for theBenchmark
% 8.45/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 9.40/2.35 % (17260)------------------------------
% 9.40/2.35 % (17260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.35 % (17260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.35 % (17260)CaDiCaL version: 2.1.3
% 9.40/2.35 % (17260)Termination reason: Refutation
% 9.40/2.35 % (17260)Time elapsed: 0.838 s
% 9.40/2.35 % (17260)Peak memory usage: 132 MB
% 9.40/2.35 % (17260)Instructions burned: 1290 (million)
% 9.40/2.35 % (17260)------------------------------
% 9.40/2.35 % (17260)------------------------------
% 9.40/2.35 % (17254)Success in time 1.252 s
% 9.40/2.35 % Vampire exiting
%------------------------------------------------------------------------------