%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL757-1 : 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 : n009.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 11:56:28 AM UTC 2026
% Result : Unsatisfiable 11.16s 2.64s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 27
% Syntax : Number of formulae : 77 ( 54 unt; 16 def)
% Number of atoms : 121 ( 43 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 90 ( 46 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 39 ( 39 usr; 27 con; 0-5 aty)
% Number of variables : 115 ( 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,axiom,
! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__Suc_0) ).
fof(f112,axiom,
! [X0] : c_Suc(X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__eq__plus1_0) ).
fof(f299,axiom,
! [X2,X3,X0,X1,X4] :
( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__subst_0) ).
fof(f588,axiom,
! [X2,X0,X1] : hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OAbs(X0)),X1),X2) = c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__Abs_0) ).
fof(f605,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(f607,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(f677,axiom,
! [X2,X3,X0,X1] : hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2),X3) = hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__App_0) ).
fof(f695,axiom,
! [X2,X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Beta_0) ).
fof(f704,negated_conjecture,
! [X0,X1] : hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_ra),v_s),c_HOL_Ozero__class_Ozero(tc_nat)),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(X0)),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f706,negated_conjecture,
! [X0,X1] : hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),c_Lambda_OdB_OVar(X0)),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f707,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_ra)),v_s),v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_Lambda_OdB_OVar(v_ia)),v_ja))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f748,plain,
! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),tc_nat),
inference(definition_unfolding,[],[f67,f112]) ).
fof(f804,plain,
! [X2,X3,X0,X1,X4] :
( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
inference(definition_unfolding,[],[f299,f112]) ).
fof(f815,definition,
sF0 = hAPP(c_Lambda_Osubst,v_ra),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f816,plain,
hAPP(c_Lambda_Osubst,v_ra) = sF0,
inference(reorient_equations,[],[f815]) ).
fof(f817,definition,
sF1 = hAPP(sF0,v_s),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f818,plain,
hAPP(sF0,v_s) = sF1,
inference(reorient_equations,[],[f817]) ).
fof(f819,definition,
sF2 = c_HOL_Ozero__class_Ozero(tc_nat),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f820,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = sF2,
inference(reorient_equations,[],[f819]) ).
fof(f821,definition,
sF3 = hAPP(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f822,plain,
hAPP(sF1,sF2) = sF3,
inference(reorient_equations,[],[f821]) ).
fof(f823,definition,
sF4 = c_List_Ofoldl(c_Lambda_OdB_OApp,sF3,v_ss,tc_Lambda_OdB,tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f824,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,sF3,v_ss,tc_Lambda_OdB,tc_Lambda_OdB) = sF4,
inference(reorient_equations,[],[f823]) ).
fof(f828,definition,
sF6 = hAPP(c_Lambda_Osubst,sF4),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f829,plain,
hAPP(c_Lambda_Osubst,sF4) = sF6,
inference(reorient_equations,[],[f828]) ).
fof(f830,plain,
! [X0,X1] : hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF6,c_Lambda_OdB_OVar(X0)),X1))),
inference(definition_folding,[],[f704,f829,f824,f822,f820,f818,f816]) ).
fof(f834,definition,
sF8 = hAPP(c_Lambda_Osubst,v_s),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f835,plain,
hAPP(c_Lambda_Osubst,v_s) = sF8,
inference(reorient_equations,[],[f834]) ).
fof(f836,plain,
! [X0,X1] : hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF8,c_Lambda_OdB_OVar(X0)),X1))),
inference(definition_folding,[],[f706,f835]) ).
fof(f837,definition,
sF9 = c_Lambda_OdB_OAbs(v_ra),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f838,plain,
c_Lambda_OdB_OAbs(v_ra) = sF9,
inference(reorient_equations,[],[f837]) ).
fof(f839,definition,
sF10 = hAPP(c_Lambda_OdB_OApp,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f840,plain,
hAPP(c_Lambda_OdB_OApp,sF9) = sF10,
inference(reorient_equations,[],[f839]) ).
fof(f841,definition,
sF11 = hAPP(sF10,v_s),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f842,plain,
hAPP(sF10,v_s) = sF11,
inference(reorient_equations,[],[f841]) ).
fof(f843,definition,
sF12 = c_List_Ofoldl(c_Lambda_OdB_OApp,sF11,v_ss,tc_Lambda_OdB,tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f844,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,sF11,v_ss,tc_Lambda_OdB,tc_Lambda_OdB) = sF12,
inference(reorient_equations,[],[f843]) ).
fof(f845,definition,
sF13 = hAPP(c_Lambda_Osubst,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f846,plain,
hAPP(c_Lambda_Osubst,sF12) = sF13,
inference(reorient_equations,[],[f845]) ).
fof(f847,definition,
sF14 = c_Lambda_OdB_OVar(v_ia),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f848,plain,
c_Lambda_OdB_OVar(v_ia) = sF14,
inference(reorient_equations,[],[f847]) ).
fof(f849,definition,
sF15 = hAPP(sF13,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f850,plain,
hAPP(sF13,sF14) = sF15,
inference(reorient_equations,[],[f849]) ).
fof(f851,definition,
sF16 = hAPP(sF15,v_ja),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f852,plain,
hAPP(sF15,v_ja) = sF16,
inference(reorient_equations,[],[f851]) ).
fof(f853,definition,
sF17 = hAPP(c_InductTermi_OIT,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f854,plain,
hAPP(c_InductTermi_OIT,sF16) = sF17,
inference(reorient_equations,[],[f853]) ).
fof(f855,plain,
~ hBOOL(sF17),
inference(definition_folding,[],[f707,f854,f852,f850,f848,f846,f844,f842,f840,f838]) ).
fof(f930,plain,
! [X2,X0,X1] : hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OAbs(X0)),X1),X2) = c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),sF2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)))),
inference(backward_demodulation,[],[f588,f820]) ).
fof(f942,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),sF2),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(backward_demodulation,[],[f695,f820]) ).
fof(f943,plain,
! [X0] : c_HOL_Oord__class_Oless(sF2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),tc_nat),
inference(backward_demodulation,[],[f748,f820]) ).
fof(f947,plain,
hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_ra)) = sF10,
inference(forward_demodulation,[],[f840,f838]) ).
fof(f948,plain,
sF15 = hAPP(sF13,c_Lambda_OdB_OVar(v_ia)),
inference(forward_demodulation,[],[f850,f848]) ).
fof(f968,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),sF2),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),c_List_Olist_OCons(X1,X2,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(forward_demodulation,[],[f942,f605]) ).
fof(f1075,plain,
! [X2,X3,X0,X1,X6,X4,X5] : c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3),c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4,X5),X6,X5) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2),X3),X4,X6,X5),
inference(superposition,[],[f605,f677]) ).
fof(f1205,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),sF2)),X2),X3),X4,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X2),sF2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)))),c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)))
| ~ c_HOL_Oord__class_Oless(sF2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
inference(superposition,[],[f968,f804]) ).
fof(f1208,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),sF2)),X2),X3),X4,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X2),sF2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)))),c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3))) ),
inference(forward_subsumption_resolution,[],[f1205,f943]) ).
fof(f1209,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OAbs(X0)),X2),X3),c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),sF2)),X2),X3),X4,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3))) ),
inference(forward_demodulation,[],[f1208,f930]) ).
fof(f1210,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),sF2)),X2),X3),X4,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1)),X2),X3),X4,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3))) ),
inference(forward_demodulation,[],[f1209,f1075]) ).
fof(f1211,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(sF0,X0),sF2)),X1),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_ra)),X0)),X1),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2))) ),
inference(superposition,[],[f1210,f816]) ).
fof(f1219,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(sF0,X0),sF2)),X1),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(sF10,X0)),X1),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2))) ),
inference(forward_demodulation,[],[f1211,f947]) ).
fof(f1223,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(sF1,sF2)),X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(sF10,v_s)),X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),X0),X1))) ),
inference(superposition,[],[f1219,f818]) ).
fof(f1226,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,sF3),X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(sF10,v_s)),X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),X0),X1))) ),
inference(forward_demodulation,[],[f1223,f822]) ).
fof(f1227,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,sF11),X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,sF3),X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),X0),X1))) ),
inference(forward_demodulation,[],[f1226,f842]) ).
fof(f1228,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,sF11),X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF8,X0),X1)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,sF3),X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(forward_demodulation,[],[f1227,f835]) ).
fof(f1231,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,sF11,X0,tc_Lambda_OdB,tc_Lambda_OdB)),X1),X2)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF8,X1),X2)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,sF3),X1),X2),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X1,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X0,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(superposition,[],[f1228,f607]) ).
fof(f1232,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,sF11,X0,tc_Lambda_OdB,tc_Lambda_OdB)),X1),X2)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,sF3,X0,tc_Lambda_OdB,tc_Lambda_OdB)),X1),X2)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF8,X1),X2))) ),
inference(forward_demodulation,[],[f1231,f607]) ).
fof(f1234,plain,
! [X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,sF12),X0),X1)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,sF3,v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),X0),X1)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF8,X0),X1))) ),
inference(superposition,[],[f1232,f844]) ).
fof(f1235,plain,
! [X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF13,X0),X1)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,sF3,v_ss,tc_Lambda_OdB,tc_Lambda_OdB)),X0),X1)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF8,X0),X1))) ),
inference(forward_demodulation,[],[f1234,f846]) ).
fof(f1236,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,sF4),X0),X1)))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF13,X0),X1)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF8,X0),X1))) ),
inference(forward_demodulation,[],[f1235,f824]) ).
fof(f1237,plain,
! [X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF13,X0),X1)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF6,X0),X1)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF8,X0),X1))) ),
inference(forward_demodulation,[],[f1236,f829]) ).
fof(f1243,plain,
! [X0] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(sF15,X0)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF6,c_Lambda_OdB_OVar(v_ia)),X0)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF8,c_Lambda_OdB_OVar(v_ia)),X0))) ),
inference(superposition,[],[f1237,f948]) ).
fof(f1244,plain,
! [X0] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(sF15,X0)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(sF8,c_Lambda_OdB_OVar(v_ia)),X0))) ),
inference(forward_subsumption_resolution,[],[f1243,f830]) ).
fof(f1245,plain,
! [X0] : hBOOL(hAPP(c_InductTermi_OIT,hAPP(sF15,X0))),
inference(forward_subsumption_resolution,[],[f1244,f836]) ).
fof(f1247,plain,
hBOOL(hAPP(c_InductTermi_OIT,sF16)),
inference(superposition,[],[f1245,f852]) ).
fof(f1248,plain,
hBOOL(sF17),
inference(forward_demodulation,[],[f1247,f854]) ).
fof(f1249,plain,
$false,
inference(forward_subsumption_resolution,[],[f1248,f855]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL757-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n009.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 16:45:00 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.41 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
% 11.16/2.64 % (2240322)Input is clausal, will run a generic CNF schedule.
% 11.16/2.64 % (2240362)lrs+10_1_sil=8000:sp=occurrence:random_seed=2592024238:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.16/2.64 % (2240360)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1191721560:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.16/2.64 % (2240359)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=977335900:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.16/2.64 % (2240361)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2624840869:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.16/2.64 % (2240362)Instruction limit reached!
% 11.16/2.64 % (2240362)------------------------------
% 11.16/2.64 % (2240362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.64 % (2240362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.64 % (2240362)CaDiCaL version: 2.1.3
% 11.16/2.64 % (2240362)Termination reason: Instruction limit
% 11.16/2.64 % (2240362)Termination phase: Saturation
% 11.16/2.64 % (2240362)Time elapsed: 0.076 s
% 11.16/2.64 % (2240362)Peak memory usage: 89 MB
% 11.16/2.64 % (2240362)Instructions burned: 107 (million)
% 11.16/2.64 % (2240365)dis-21_1_sil=8000:lcm=predicate:random_seed=258903900: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)
% 11.16/2.64 % (2240364)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3610205993:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.16/2.64 % (2240363)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1575926008:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.16/2.64 % (2240365)Instruction limit reached!
% 11.16/2.64 % (2240365)------------------------------
% 11.16/2.64 % (2240365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.64 % (2240365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.64 % (2240365)CaDiCaL version: 2.1.3
% 11.16/2.64 % (2240365)Termination reason: Instruction limit
% 11.16/2.64 % (2240365)Termination phase: Saturation
% 11.16/2.64 % (2240365)Time elapsed: 0.110 s
% 11.16/2.64 % (2240365)Peak memory usage: 89 MB
% 11.16/2.64 % (2240365)Instructions burned: 117 (million)
% 11.16/2.64 % (2240363)Instruction limit reached!
% 11.16/2.64 % (2240363)------------------------------
% 11.16/2.64 % (2240363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.64 % (2240363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.64 % (2240363)CaDiCaL version: 2.1.3
% 11.16/2.64 % (2240363)Termination reason: Instruction limit
% 11.16/2.64 % (2240363)Termination phase: Saturation
% 11.16/2.64 % (2240363)Time elapsed: 0.127 s
% 11.16/2.64 % (2240363)Peak memory usage: 89 MB
% 11.16/2.64 % (2240363)Instructions burned: 114 (million)
% 11.16/2.64 % (2240373)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=2872748283:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.16/2.64 % (2240373)Refutation not found, incomplete strategy
% 11.16/2.64 % (2240373)------------------------------
% 11.16/2.64 % (2240373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.64 % (2240373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.64 % (2240373)CaDiCaL version: 2.1.3
% 11.16/2.64 % (2240373)Termination reason: Refutation not found, incomplete strategy
% 11.16/2.64 % (2240373)Time elapsed: 0.006 s
% 11.16/2.64 % (2240373)Peak memory usage: 88 MB
% 11.16/2.64 % (2240373)Instructions burned: 9 (million)
% 11.16/2.64 % (2240364)Instruction limit reached!
% 11.16/2.64 % (2240364)------------------------------
% 11.16/2.64 % (2240364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.64 % (2240364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.64 % (2240364)CaDiCaL version: 2.1.3
% 11.16/2.64 % (2240364)Termination reason: Instruction limit
% 11.16/2.64 % (2240364)Termination phase: Saturation
% 11.16/2.64 % (2240364)Time elapsed: 0.163 s
% 11.16/2.64 % (2240364)Peak memory usage: 90 MB
% 11.16/2.64 % (2240364)Instructions burned: 181 (million)
% 11.16/2.64 % (2240380)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=261855784:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 11.16/2.64 % (2240381)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=922010647:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 11.16/2.64 % (2240373)------------------------------
% 11.16/2.64 % (2240373)------------------------------
% 11.16/2.64 % (2240383)lrs+10_64_to=lpo:sil=8000:random_seed=217037553:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 11.16/2.64 % (2240383)Instruction limit reached!
% 11.16/2.64 % (2240383)------------------------------
% 11.16/2.64 % (2240383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.64 % (2240383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.64 % (2240383)CaDiCaL version: 2.1.3
% 11.16/2.64 % (2240383)Termination reason: Instruction limit
% 11.16/2.64 % (2240383)Termination phase: Saturation
% 11.16/2.64 % (2240383)Time elapsed: 0.136 s
% 11.16/2.64 % (2240383)Peak memory usage: 89 MB
% 11.16/2.64 % (2240383)Instructions burned: 126 (million)
% 11.16/2.64 % (2240380)Instruction limit reached!
% 11.16/2.64 % (2240380)------------------------------
% 11.16/2.64 % (2240380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.64 % (2240380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.64 % (2240380)CaDiCaL version: 2.1.3
% 11.16/2.64 % (2240380)Termination reason: Instruction limit
% 11.16/2.64 % (2240380)Termination phase: Saturation
% 11.16/2.64 % (2240380)Time elapsed: 0.193 s
% 11.16/2.64 % (2240380)Peak memory usage: 91 MB
% 11.16/2.64 % (2240380)Instructions burned: 189 (million)
% 11.16/2.64 % (2240387)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4273670016:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 11.16/2.64 % (2240381)Instruction limit reached!
% 11.16/2.64 % (2240381)------------------------------
% 11.16/2.64 % (2240381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.64 % (2240381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.64 % (2240381)CaDiCaL version: 2.1.3
% 11.16/2.64 % (2240381)Termination reason: Instruction limit
% 11.16/2.64 % (2240381)Termination phase: Saturation
% 11.16/2.64 % (2240381)Time elapsed: 0.232 s
% 11.16/2.64 % (2240381)Peak memory usage: 90 MB
% 11.16/2.64 % (2240381)Instructions burned: 220 (million)
% 11.16/2.64 % (2240387)Instruction limit reached!
% 11.16/2.64 % (2240387)------------------------------
% 11.16/2.64 % (2240387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.64 % (2240387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.64 % (2240387)CaDiCaL version: 2.1.3
% 11.16/2.64 % (2240387)Termination reason: Instruction limit
% 11.16/2.64 % (2240387)Termination phase: Saturation
% 11.16/2.64 % (2240387)Time elapsed: 0.104 s
% 11.16/2.64 % (2240387)Peak memory usage: 90 MB
% 11.16/2.64 % (2240387)Instructions burned: 196 (million)
% 11.16/2.64 % (2240388)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3189198926:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 11.16/2.64 % (2240389)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=497832275:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 11.16/2.64 % (2240394)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1549105865:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 11.16/2.64 % (2240392)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=1487286651:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 11.16/2.64 % (2240394)Instruction limit reached!
% 11.16/2.64 % (2240394)------------------------------
% 11.16/2.64 % (2240394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.64 % (2240394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.64 % (2240394)CaDiCaL version: 2.1.3
% 11.16/2.64 % (2240394)Termination reason: Instruction limit
% 11.16/2.64 % (2240394)Termination phase: Saturation
% 11.16/2.64 % (2240394)Time elapsed: 0.060 s
% 11.16/2.64 % (2240394)Peak memory usage: 90 MB
% 11.16/2.64 % (2240394)Instructions burned: 107 (million)
% 11.16/2.64 % (2240392)Instruction limit reached!
% 11.16/2.64 % (2240392)------------------------------
% 11.16/2.64 % (2240392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.64 % (2240392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.64 % (2240392)CaDiCaL version: 2.1.3
% 11.16/2.64 % (2240392)Termination reason: Instruction limit
% 11.16/2.64 % (2240392)Termination phase: Saturation
% 11.16/2.64 % (2240392)Time elapsed: 0.109 s
% 11.16/2.64 % (2240392)Peak memory usage: 89 MB
% 11.16/2.64 % (2240392)Instructions burned: 107 (million)
% 11.16/2.64 % (2240388)Instruction limit reached!
% 11.16/2.64 % (2240388)------------------------------
% 11.16/2.64 % (2240388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.64 % (2240388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.64 % (2240388)CaDiCaL version: 2.1.3
% 11.16/2.64 % (2240388)Termination reason: Instruction limit
% 11.16/2.64 % (2240388)Termination phase: Saturation
% 11.16/2.64 % (2240388)Time elapsed: 0.173 s
% 11.16/2.64 % (2240388)Peak memory usage: 90 MB
% 11.16/2.64 % (2240388)Instructions burned: 157 (million)
% 11.16/2.64 % (2240399)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3062838162:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 11.16/2.64 % (2240361)First to succeed.
% 11.16/2.64 % (2240361)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2240322"
% 11.16/2.64 % (2240400)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=117417298:cond=fast:i=5208:av=off_2988 on theBenchmark for (2988ds/5208Mi)
% 11.16/2.64 % (2240401)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3771070211:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 11.16/2.64 % (2240401)Instruction limit reached!
% 11.16/2.64 % (2240401)------------------------------
% 11.16/2.64 % (2240401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.64 % (2240401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.64 % (2240401)CaDiCaL version: 2.1.3
% 11.16/2.64 % (2240401)Termination reason: Instruction limit
% 11.16/2.64 % (2240401)Termination phase: Saturation
% 11.16/2.64 % (2240401)Time elapsed: 0.143 s
% 11.16/2.64 % (2240401)Peak memory usage: 90 MB
% 11.16/2.64 % (2240401)Instructions burned: 134 (million)
% 11.16/2.64 % (2240399)Instruction limit reached!
% 11.16/2.64 % (2240399)------------------------------
% 11.16/2.64 % (2240399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.16/2.64 % (2240399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.16/2.64 % (2240399)CaDiCaL version: 2.1.3
% 11.16/2.64 % (2240399)Termination reason: Instruction limit
% 11.16/2.64 % (2240399)Termination phase: Saturation
% 11.16/2.64 % (2240399)Time elapsed: 0.248 s
% 11.16/2.64 % (2240399)Peak memory usage: 90 MB
% 11.16/2.64 % (2240399)Instructions burned: 242 (million)
% 11.16/2.64 % (2240359)Also succeeded, but the first one will report.
% 11.16/2.64 % (2240361)Refutation found. Thanks to Tanya!
% 11.16/2.64 % SZS status Unsatisfiable for theBenchmark
% 11.16/2.64 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.91 % (2240361)------------------------------
% 0.17/2.91 % (2240361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.91 % (2240361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.91 % (2240361)CaDiCaL version: 2.1.3
% 0.17/2.91 % (2240361)Termination reason: Refutation
% 0.17/2.91 % (2240361)Time elapsed: 1.136 s
% 0.17/2.91 % (2240361)Peak memory usage: 133 MB
% 0.17/2.91 % (2240361)Instructions burned: 1259 (million)
% 0.17/2.91 % (2240361)------------------------------
% 0.17/2.91 % (2240361)------------------------------
% 0.17/2.91 % (2240322)Success in time 1.638 s
% 0.17/2.91 % Vampire exiting
%------------------------------------------------------------------------------