%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL758-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 8.57s 2.12s
% Output : Refutation 9.37s
% 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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 : LCL758-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 16:48:16 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.57/2.11 % (1847910)Input is clausal, will run a generic CNF schedule.
% 8.57/2.11 % (1847919)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=252029798:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.57/2.11 % (1847915)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=1170913464:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.57/2.11 % (1847918)lrs+10_1_sil=8000:sp=occurrence:random_seed=839194882:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.57/2.11 % (1847917)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=425533654:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.57/2.11 % (1847921)dis-21_1_sil=8000:lcm=predicate:random_seed=4060803663: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)
% 8.57/2.11 % (1847920)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4139608167:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.57/2.11 % (1847916)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2851524180:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.57/2.11 % (1847919)Instruction limit reached!
% 8.57/2.11 % (1847919)------------------------------
% 8.57/2.11 % (1847919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.11 % (1847919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.11 % (1847919)CaDiCaL version: 2.1.3
% 8.57/2.11 % (1847919)Termination reason: Instruction limit
% 8.57/2.11 % (1847919)Termination phase: Saturation
% 8.57/2.11 % (1847919)Time elapsed: 0.041 s
% 8.57/2.11 % (1847919)Peak memory usage: 89 MB
% 8.57/2.11 % (1847919)Instructions burned: 116 (million)
% 8.57/2.11 % (1847921)Instruction limit reached!
% 8.57/2.11 % (1847921)------------------------------
% 8.57/2.11 % (1847921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.11 % (1847921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.11 % (1847921)CaDiCaL version: 2.1.3
% 8.57/2.11 % (1847921)Termination reason: Instruction limit
% 8.57/2.11 % (1847921)Termination phase: Saturation
% 8.57/2.11 % (1847921)Time elapsed: 0.067 s
% 8.57/2.11 % (1847921)Peak memory usage: 89 MB
% 8.57/2.11 % (1847921)Instructions burned: 118 (million)
% 8.57/2.11 % (1847918)Instruction limit reached!
% 8.57/2.11 % (1847918)------------------------------
% 8.57/2.11 % (1847918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.11 % (1847918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.11 % (1847918)CaDiCaL version: 2.1.3
% 8.57/2.11 % (1847918)Termination reason: Instruction limit
% 8.57/2.11 % (1847918)Termination phase: Saturation
% 8.57/2.11 % (1847918)Time elapsed: 0.068 s
% 8.57/2.11 % (1847918)Peak memory usage: 89 MB
% 8.57/2.11 % (1847918)Instructions burned: 108 (million)
% 8.57/2.11 % (1847920)Instruction limit reached!
% 8.57/2.11 % (1847920)------------------------------
% 8.57/2.11 % (1847920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.11 % (1847920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.11 % (1847920)CaDiCaL version: 2.1.3
% 8.57/2.11 % (1847920)Termination reason: Instruction limit
% 8.57/2.11 % (1847920)Termination phase: Saturation
% 8.57/2.11 % (1847920)Time elapsed: 0.123 s
% 8.57/2.11 % (1847920)Peak memory usage: 90 MB
% 8.57/2.11 % (1847920)Instructions burned: 180 (million)
% 8.57/2.11 % (1847929)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=2104237207:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.57/2.11 % (1847929)Refutation not found, incomplete strategy
% 8.57/2.11 % (1847929)------------------------------
% 8.57/2.11 % (1847929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.11 % (1847929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.11 % (1847929)CaDiCaL version: 2.1.3
% 8.57/2.11 % (1847929)Termination reason: Refutation not found, incomplete strategy
% 8.57/2.11 % (1847929)Time elapsed: 0.004 s
% 8.57/2.11 % (1847929)Peak memory usage: 88 MB
% 8.57/2.11 % (1847929)Instructions burned: 9 (million)
% 8.57/2.11 % (1847931)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3812034594:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.57/2.11 % (1847930)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=36475649: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)
% 8.57/2.11 % (1847932)lrs+10_64_to=lpo:sil=8000:random_seed=2871753411:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.57/2.11 % (1847929)------------------------------
% 8.57/2.11 % (1847929)------------------------------
% 8.57/2.11 % (1847930)Instruction limit reached!
% 8.57/2.11 % (1847930)------------------------------
% 8.57/2.11 % (1847930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.11 % (1847930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.11 % (1847930)CaDiCaL version: 2.1.3
% 8.57/2.11 % (1847930)Termination reason: Instruction limit
% 8.57/2.11 % (1847930)Termination phase: Saturation
% 8.57/2.11 % (1847930)Time elapsed: 0.112 s
% 8.57/2.11 % (1847930)Peak memory usage: 91 MB
% 8.57/2.11 % (1847930)Instructions burned: 190 (million)
% 8.57/2.11 % (1847931)Instruction limit reached!
% 8.57/2.11 % (1847931)------------------------------
% 8.57/2.11 % (1847931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.11 % (1847931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.11 % (1847931)CaDiCaL version: 2.1.3
% 8.57/2.11 % (1847931)Termination reason: Instruction limit
% 8.57/2.11 % (1847931)Termination phase: Saturation
% 8.57/2.11 % (1847931)Time elapsed: 0.136 s
% 8.57/2.11 % (1847931)Peak memory usage: 90 MB
% 8.57/2.11 % (1847931)Instructions burned: 220 (million)
% 8.57/2.11 % (1847932)Instruction limit reached!
% 8.57/2.11 % (1847932)------------------------------
% 8.57/2.11 % (1847932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.11 % (1847932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.11 % (1847932)CaDiCaL version: 2.1.3
% 8.57/2.11 % (1847932)Termination reason: Instruction limit
% 8.57/2.11 % (1847932)Termination phase: Saturation
% 8.57/2.11 % (1847932)Time elapsed: 0.081 s
% 8.57/2.11 % (1847932)Peak memory usage: 89 MB
% 8.57/2.12 % (1847932)Instructions burned: 127 (million)
% 8.57/2.12 % (1847937)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2121050584:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.57/2.12 % (1847937)Instruction limit reached!
% 8.57/2.12 % (1847937)------------------------------
% 8.57/2.12 % (1847937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.12 % (1847937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.12 % (1847937)CaDiCaL version: 2.1.3
% 8.57/2.12 % (1847937)Termination reason: Instruction limit
% 8.57/2.12 % (1847937)Termination phase: Saturation
% 8.57/2.12 % (1847937)Time elapsed: 0.063 s
% 8.57/2.12 % (1847937)Peak memory usage: 90 MB
% 8.57/2.12 % (1847937)Instructions burned: 197 (million)
% 8.57/2.12 % (1847938)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1015863326:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.57/2.12 % (1847939)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3312611838:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.57/2.12 % (1847940)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=3044768341:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 8.57/2.12 % (1847940)Instruction limit reached!
% 8.57/2.12 % (1847940)------------------------------
% 8.57/2.12 % (1847940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.12 % (1847940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.12 % (1847940)CaDiCaL version: 2.1.3
% 8.57/2.12 % (1847940)Termination reason: Instruction limit
% 8.57/2.12 % (1847940)Termination phase: Saturation
% 8.57/2.12 % (1847940)Time elapsed: 0.060 s
% 8.57/2.12 % (1847940)Peak memory usage: 89 MB
% 8.57/2.12 % (1847940)Instructions burned: 106 (million)
% 8.57/2.12 % (1847938)Instruction limit reached!
% 8.57/2.12 % (1847938)------------------------------
% 8.57/2.12 % (1847938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.12 % (1847938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.12 % (1847938)CaDiCaL version: 2.1.3
% 8.57/2.12 % (1847938)Termination reason: Instruction limit
% 8.57/2.12 % (1847938)Termination phase: Saturation
% 8.57/2.12 % (1847938)Time elapsed: 0.108 s
% 8.57/2.12 % (1847938)Peak memory usage: 91 MB
% 8.57/2.12 % (1847938)Instructions burned: 158 (million)
% 8.57/2.12 % (1847942)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3959927119:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.57/2.12 % (1847942)Instruction limit reached!
% 8.57/2.12 % (1847942)------------------------------
% 8.57/2.12 % (1847942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.12 % (1847942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.12 % (1847942)CaDiCaL version: 2.1.3
% 8.57/2.12 % (1847942)Termination reason: Instruction limit
% 8.57/2.12 % (1847942)Termination phase: Saturation
% 8.57/2.12 % (1847942)Time elapsed: 0.037 s
% 8.57/2.12 % (1847942)Peak memory usage: 90 MB
% 8.57/2.12 % (1847942)Instructions burned: 107 (million)
% 8.57/2.12 % (1847946)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2179165431:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.57/2.12 % (1847948)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2352380955:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 8.57/2.12 % (1847949)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=149027071:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 8.57/2.12 % (1847949)Instruction limit reached!
% 8.57/2.12 % (1847949)------------------------------
% 8.57/2.12 % (1847949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.12 % (1847949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.12 % (1847949)CaDiCaL version: 2.1.3
% 8.57/2.12 % (1847949)Termination reason: Instruction limit
% 8.57/2.12 % (1847949)Termination phase: Saturation
% 8.57/2.12 % (1847949)Time elapsed: 0.045 s
% 8.57/2.12 % (1847949)Peak memory usage: 90 MB
% 8.57/2.12 % (1847949)Instructions burned: 136 (million)
% 8.57/2.12 % (1847917)First to succeed.
% 8.57/2.12 % (1847917)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1847910"
% 8.57/2.12 % (1847915)Also succeeded, but the first one will report.
% 8.57/2.12 % (1847946)Instruction limit reached!
% 8.57/2.12 % (1847946)------------------------------
% 8.57/2.12 % (1847946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.12 % (1847946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.12 % (1847946)CaDiCaL version: 2.1.3
% 8.57/2.12 % (1847946)Termination reason: Instruction limit
% 8.57/2.12 % (1847946)Termination phase: Saturation
% 8.57/2.12 % (1847946)Time elapsed: 0.148 s
% 8.57/2.12 % (1847946)Peak memory usage: 90 MB
% 8.57/2.12 % (1847946)Instructions burned: 243 (million)
% 8.57/2.12 % (1847953)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4233163316:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 8.57/2.12 % (1847954)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=641013267:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 8.57/2.12 % (1847917)Refutation found. Thanks to Tanya!
% 8.57/2.12 % SZS status Unsatisfiable for theBenchmark
% 8.57/2.12 % SZS output start Proof for theBenchmark
% See solution above
% 9.37/2.31 % (1847917)------------------------------
% 9.37/2.31 % (1847917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.37/2.31 % (1847917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/2.31 % (1847917)CaDiCaL version: 2.1.3
% 9.37/2.31 % (1847917)Termination reason: Refutation
% 9.37/2.31 % (1847917)Time elapsed: 0.808 s
% 9.37/2.31 % (1847917)Peak memory usage: 135 MB
% 9.37/2.31 % (1847917)Instructions burned: 1259 (million)
% 9.37/2.31 % (1847917)------------------------------
% 9.37/2.31 % (1847917)------------------------------
% 9.37/2.31 % (1847910)Success in time 1.263 s
% 9.37/2.31 % Vampire exiting
%------------------------------------------------------------------------------