%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL830-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:00:47 PM UTC 2026
% Result : Unsatisfiable 4.81s 1.16s
% Output : Refutation 4.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 55 ( 55 unt; 5 def)
% Number of atoms : 55 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-5 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f125,axiom,
! [X0,X1] : c_List_Orev(c_List_Orev(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__rev__ident_0) ).
fof(f185,axiom,
! [X0,X1] : X0 = c_List_Oappend(c_List_Olist_ONil(X1),X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0) ).
fof(f186,plain,
! [X0,X1] : c_List_Oappend(c_List_Olist_ONil(X1),X0,X1) = X0,
inference(reorient_equations,[],[f185]) ).
fof(f210,axiom,
! [X2,X0,X1] : c_List_Orev(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X0,c_List_Olist_ONil(X2),X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev_Osimps_I2_J_0) ).
fof(f247,axiom,
! [X2,X0,X1] : c_List_Orev(c_List_Oappend(c_List_Orev(X0,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1),X1) = c_List_Olist_OCons(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_1) ).
fof(f284,axiom,
! [X2,X0,X1] : c_List_Orev(c_List_Oappend(X0,X1,X2),X2) = c_List_Oappend(c_List_Orev(X1,X2),c_List_Orev(X0,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__append_0) ).
fof(f427,axiom,
! [X0] : c_List_Olist_ONil(X0) = c_List_Orev(c_List_Olist_ONil(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_1) ).
fof(f447,axiom,
! [X2,X3,X0,X1] : c_List_Oappend(X0,c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Oappend(X0,X1,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__append__conv2_5) ).
fof(f502,axiom,
! [X2,X3,X0,X1,X4] : c_List_Omap(X0,c_List_Oappend(X1,X2,X3),X3,X4) = c_List_Oappend(c_List_Omap(X0,X1,X3,X4),c_List_Omap(X0,X2,X3,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__append_0) ).
fof(f510,axiom,
! [X2,X3,X0,X1] : c_List_Orev(c_List_Omap(X0,X1,X2,X3),X3) = c_List_Omap(X0,c_List_Orev(X1,X2),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__map_0) ).
fof(f522,axiom,
! [X2,X0,X1] : c_List_Olist_ONil(X0) = c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__map__conv_1) ).
fof(f567,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/sandbox/benchmark/theBenchmark.p',cls_map_Osimps_I2_J_0) ).
fof(f572,axiom,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f573,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,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),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f601,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBC(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBC__def_0) ).
fof(f628,definition,
sF0 = tc_fun(tc_nat,tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f629,plain,
tc_fun(tc_nat,tc_Lambda_OdB) = sF0,
inference(reorient_equations,[],[f628]) ).
fof(f630,definition,
sF1 = c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f631,plain,
c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,sF0) = sF1,
inference(reorient_equations,[],[f630]) ).
fof(f632,definition,
sF2 = c_COMBC(sF1,v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f633,plain,
c_COMBC(sF1,v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB) = sF2,
inference(reorient_equations,[],[f632]) ).
fof(f634,definition,
sF3 = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f635,plain,
c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB) = sF3,
inference(reorient_equations,[],[f634]) ).
fof(f636,definition,
sF4 = c_List_Omap(sF2,sF3,tc_Lambda_OdB,tc_Lambda_OdB),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f637,plain,
c_List_Omap(sF2,sF3,tc_Lambda_OdB,tc_Lambda_OdB) = sF4,
inference(reorient_equations,[],[f636]) ).
fof(f638,plain,
~ c_List_Olistsp(c_InductTermi_OIT,sF4,tc_Lambda_OdB),
inference(definition_folding,[],[f573,f637,f635,f633,f631,f629]) ).
fof(f648,plain,
sF3 = c_List_Orev(c_List_Oappend(c_List_Orev(v_as____,tc_Lambda_OdB),c_List_Olist_OCons(v_a____,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
inference(forward_demodulation,[],[f635,f247]) ).
fof(f3705,plain,
! [X0] : hAPP(hAPP(c_Lambda_Osubst,X0),v_u____) = hAPP(sF1,X0),
inference(superposition,[],[f601,f631]) ).
fof(f3706,plain,
! [X0] : hAPP(hAPP(sF1,X0),v_i____) = hAPP(sF2,X0),
inference(superposition,[],[f601,f633]) ).
fof(f4262,plain,
! [X0,X1] : c_List_Orev(c_List_Omap(X0,c_List_Oappend(c_List_Orev(v_as____,tc_Lambda_OdB),c_List_Olist_OCons(v_a____,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,X1),X1) = c_List_Omap(X0,sF3,tc_Lambda_OdB,X1),
inference(superposition,[],[f510,f648]) ).
fof(f4269,plain,
! [X0,X1] : c_List_Omap(X0,sF3,tc_Lambda_OdB,X1) = c_List_Orev(c_List_Oappend(c_List_Omap(X0,c_List_Orev(v_as____,tc_Lambda_OdB),tc_Lambda_OdB,X1),c_List_Omap(X0,c_List_Olist_OCons(v_a____,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,X1),X1),X1),
inference(forward_demodulation,[],[f4262,f502]) ).
fof(f4276,plain,
! [X0,X1] : c_List_Omap(X0,sF3,tc_Lambda_OdB,X1) = c_List_Orev(c_List_Oappend(c_List_Omap(X0,c_List_Orev(v_as____,tc_Lambda_OdB),tc_Lambda_OdB,X1),c_List_Olist_OCons(hAPP(X0,v_a____),c_List_Omap(X0,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,X1),X1),X1),X1),
inference(forward_demodulation,[],[f4269,f567]) ).
fof(f4279,plain,
! [X0,X1] : c_List_Omap(X0,sF3,tc_Lambda_OdB,X1) = c_List_Oappend(c_List_Orev(c_List_Olist_OCons(hAPP(X0,v_a____),c_List_Omap(X0,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,X1),X1),X1),c_List_Orev(c_List_Omap(X0,c_List_Orev(v_as____,tc_Lambda_OdB),tc_Lambda_OdB,X1),X1),X1),
inference(forward_demodulation,[],[f4276,f284]) ).
fof(f4282,plain,
! [X0,X1] : c_List_Omap(X0,sF3,tc_Lambda_OdB,X1) = c_List_Oappend(c_List_Orev(c_List_Olist_OCons(hAPP(X0,v_a____),c_List_Omap(X0,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,X1),X1),X1),c_List_Orev(c_List_Orev(c_List_Omap(X0,v_as____,tc_Lambda_OdB,X1),X1),X1),X1),
inference(forward_demodulation,[],[f4279,f510]) ).
fof(f4284,plain,
! [X0,X1] : c_List_Omap(X0,sF3,tc_Lambda_OdB,X1) = c_List_Oappend(c_List_Orev(c_List_Olist_OCons(hAPP(X0,v_a____),c_List_Omap(X0,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,X1),X1),X1),c_List_Omap(X0,v_as____,tc_Lambda_OdB,X1),X1),
inference(forward_demodulation,[],[f4282,f125]) ).
fof(f4285,plain,
! [X0,X1] : c_List_Omap(X0,sF3,tc_Lambda_OdB,X1) = c_List_Oappend(c_List_Oappend(c_List_Orev(c_List_Omap(X0,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,X1),X1),c_List_Olist_OCons(hAPP(X0,v_a____),c_List_Olist_ONil(X1),X1),X1),c_List_Omap(X0,v_as____,tc_Lambda_OdB,X1),X1),
inference(forward_demodulation,[],[f4284,f210]) ).
fof(f4286,plain,
! [X0,X1] : c_List_Omap(X0,sF3,tc_Lambda_OdB,X1) = c_List_Oappend(c_List_Orev(c_List_Omap(X0,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,X1),X1),c_List_Oappend(c_List_Olist_OCons(hAPP(X0,v_a____),c_List_Olist_ONil(X1),X1),c_List_Omap(X0,v_as____,tc_Lambda_OdB,X1),X1),X1),
inference(forward_demodulation,[],[f4285,f447]) ).
fof(f4287,plain,
! [X0,X1] : c_List_Omap(X0,sF3,tc_Lambda_OdB,X1) = c_List_Oappend(c_List_Orev(c_List_Olist_ONil(X1),X1),c_List_Oappend(c_List_Olist_OCons(hAPP(X0,v_a____),c_List_Olist_ONil(X1),X1),c_List_Omap(X0,v_as____,tc_Lambda_OdB,X1),X1),X1),
inference(forward_demodulation,[],[f4286,f522]) ).
fof(f4288,plain,
! [X0,X1] : c_List_Omap(X0,sF3,tc_Lambda_OdB,X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Oappend(c_List_Olist_OCons(hAPP(X0,v_a____),c_List_Olist_ONil(X1),X1),c_List_Omap(X0,v_as____,tc_Lambda_OdB,X1),X1),X1),
inference(forward_demodulation,[],[f4287,f427]) ).
fof(f4289,plain,
! [X0,X1] : c_List_Omap(X0,sF3,tc_Lambda_OdB,X1) = c_List_Oappend(c_List_Olist_OCons(hAPP(X0,v_a____),c_List_Olist_ONil(X1),X1),c_List_Omap(X0,v_as____,tc_Lambda_OdB,X1),X1),
inference(forward_demodulation,[],[f4288,f186]) ).
fof(f5732,plain,
! [X2,X3,X0,X1] : c_List_Oappend(c_List_Orev(X1,X2),c_List_Oappend(c_List_Olist_OCons(X0,c_List_Olist_ONil(X2),X2),X3,X2),X2) = c_List_Oappend(c_List_Orev(c_List_Olist_OCons(X0,X1,X2),X2),X3,X2),
inference(superposition,[],[f447,f210]) ).
fof(f13534,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Orev(c_List_Oappend(c_List_Orev(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),c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
inference(superposition,[],[f572,f247]) ).
fof(f13537,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Oappend(c_List_Orev(c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),c_List_Orev(c_List_Orev(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),
inference(forward_demodulation,[],[f13534,f284]) ).
fof(f13543,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Oappend(c_List_Orev(c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),c_List_Oappend(c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),c_List_Orev(c_List_Orev(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),tc_Lambda_OdB),
inference(forward_demodulation,[],[f13537,f5732]) ).
fof(f13549,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Oappend(c_List_Orev(c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),c_List_Oappend(c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),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),
inference(forward_demodulation,[],[f13543,f125]) ).
fof(f13555,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Oappend(c_List_Orev(c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),c_List_Oappend(c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,sF0),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),
inference(forward_demodulation,[],[f13549,f629]) ).
fof(f13561,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Oappend(c_List_Orev(c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),c_List_Oappend(c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),c_List_Omap(c_COMBC(sF1,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),
inference(forward_demodulation,[],[f13555,f631]) ).
fof(f13567,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Oappend(c_List_Orev(c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),c_List_Oappend(c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),c_List_Omap(sF2,v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
inference(forward_demodulation,[],[f13561,f633]) ).
fof(f13573,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Oappend(c_List_Orev(c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),c_List_Oappend(c_List_Olist_OCons(hAPP(hAPP(sF1,v_a____),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),c_List_Omap(sF2,v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
inference(forward_demodulation,[],[f13567,f3705]) ).
fof(f13579,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Oappend(c_List_Orev(c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),c_List_Oappend(c_List_Olist_OCons(hAPP(sF2,v_a____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),c_List_Omap(sF2,v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
inference(forward_demodulation,[],[f13573,f3706]) ).
fof(f13585,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Oappend(c_List_Orev(c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),c_List_Omap(sF2,sF3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
inference(forward_demodulation,[],[f13579,f4289]) ).
fof(f13591,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Oappend(c_List_Orev(c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),sF4,tc_Lambda_OdB),tc_Lambda_OdB),
inference(forward_demodulation,[],[f13585,f637]) ).
fof(f13597,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Oappend(c_List_Olist_ONil(tc_Lambda_OdB),sF4,tc_Lambda_OdB),tc_Lambda_OdB),
inference(forward_demodulation,[],[f13591,f427]) ).
fof(f13603,plain,
c_List_Olistsp(c_InductTermi_OIT,sF4,tc_Lambda_OdB),
inference(forward_demodulation,[],[f13597,f186]) ).
fof(f13609,plain,
$false,
inference(forward_subsumption_resolution,[],[f13603,f638]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL830-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n014.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 16:58:01 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.81/1.16 % (1010726)Will run a generic schedule for satisfiability detection.
% 4.81/1.16 % (1010740)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2691103847:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.81/1.16 % (1010737)% WARNING: option uhcvi not known.
% 4.81/1.16 % (1010737)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2141920441:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.81/1.16 % (1010738)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4221892775:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.81/1.16 % (1010736)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1274413922_2999 on theBenchmark for (2999ds/0Mi)
% 4.81/1.16 % (1010739)dis+10_1_sil=32000:sp=arity:random_seed=3467351398:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.81/1.16 % (1010741)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2712770631:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.81/1.16 % (1010742)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2336227391:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.81/1.16 % (1010740)Instruction limit reached!
% 4.81/1.16 % (1010740)------------------------------
% 4.81/1.16 % (1010740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.16 % (1010740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.16 % (1010740)CaDiCaL version: 2.1.3
% 4.81/1.16 % (1010740)Termination reason: Instruction limit
% 4.81/1.16 % (1010740)Termination phase: Saturation
% 4.81/1.16 % (1010740)Time elapsed: 0.041 s
% 4.81/1.16 % (1010740)Peak memory usage: 13 MB
% 4.81/1.16 % (1010740)Instructions burned: 116 (million)
% 4.81/1.16 % (1010762)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=441411511:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.81/1.16 % (1010739)Instruction limit reached!
% 4.81/1.16 % (1010739)------------------------------
% 4.81/1.16 % (1010739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.16 % (1010739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.16 % (1010739)CaDiCaL version: 2.1.3
% 4.81/1.16 % (1010739)Termination reason: Instruction limit
% 4.81/1.16 % (1010739)Termination phase: Saturation
% 4.81/1.16 % (1010739)Time elapsed: 0.067 s
% 4.81/1.16 % (1010739)Peak memory usage: 12 MB
% 4.81/1.16 % (1010739)Instructions burned: 104 (million)
% 4.81/1.16 % TRYING [1]
% 4.81/1.16 % TRYING [2]
% 4.81/1.16 % (1010741)Instruction limit reached!
% 4.81/1.16 % (1010741)------------------------------
% 4.81/1.16 % (1010741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.16 % (1010741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.16 % (1010741)CaDiCaL version: 2.1.3
% 4.81/1.16 % (1010741)Termination reason: Instruction limit
% 4.81/1.16 % (1010741)Termination phase: Saturation
% 4.81/1.16 % (1010741)Time elapsed: 0.085 s
% 4.81/1.16 % (1010741)Peak memory usage: 13 MB
% 4.81/1.16 % (1010741)Instructions burned: 131 (million)
% 4.81/1.16 % (1010775)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2503622606:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.81/1.16 % TRYING [1]
% 4.81/1.16 % TRYING [2]
% 4.81/1.16 % (1010742)Instruction limit reached!
% 4.81/1.16 % (1010742)------------------------------
% 4.81/1.16 % (1010742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.16 % (1010742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.16 % (1010742)CaDiCaL version: 2.1.3
% 4.81/1.16 % (1010742)Termination reason: Instruction limit
% 4.81/1.16 % (1010742)Termination phase: Saturation
% 4.81/1.16 % (1010742)Time elapsed: 0.099 s
% 4.81/1.16 % (1010742)Peak memory usage: 13 MB
% 4.81/1.16 % (1010742)Instructions burned: 160 (million)
% 4.81/1.16 % (1010785)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1090741506:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.81/1.16 % (1010791)ott-21_1_sil=16000:fs=off:random_seed=2721606086:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.81/1.16 % TRYING [3]
% 4.81/1.16 % TRYING [3]
% 4.81/1.16 % (1010775)Instruction limit reached!
% 4.81/1.16 % (1010775)------------------------------
% 4.81/1.16 % (1010775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.16 % (1010775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.16 % (1010775)CaDiCaL version: 2.1.3
% 4.81/1.16 % (1010775)Termination reason: Instruction limit
% 4.81/1.16 % (1010775)Termination phase: Saturation
% 4.81/1.16 % (1010775)Time elapsed: 0.084 s
% 4.81/1.16 % (1010775)Peak memory usage: 13 MB
% 4.81/1.16 % (1010775)Instructions burned: 132 (million)
% 4.81/1.16 % (1010820)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3484861587:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.81/1.16 % (1010762)Instruction limit reached!
% 4.81/1.16 % (1010762)------------------------------
% 4.81/1.16 % (1010762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.16 % (1010762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.16 % (1010762)CaDiCaL version: 2.1.3
% 4.81/1.16 % (1010762)Termination reason: Instruction limit
% 4.81/1.16 % (1010762)Termination phase: Finite model building constraint generation
% 4.81/1.16 % (1010762)Time elapsed: 0.154 s
% 4.81/1.16 % (1010762)Peak memory usage: 28 MB
% 4.81/1.16 % (1010762)Instructions burned: 717 (million)
% 4.81/1.16 % (1010791)Instruction limit reached!
% 4.81/1.16 % (1010791)------------------------------
% 4.81/1.16 % (1010791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.16 % (1010791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.16 % (1010791)CaDiCaL version: 2.1.3
% 4.81/1.16 % (1010791)Termination reason: Instruction limit
% 4.81/1.16 % (1010791)Termination phase: Saturation
% 4.81/1.16 % (1010791)Time elapsed: 0.082 s
% 4.81/1.16 % (1010791)Peak memory usage: 12 MB
% 4.81/1.16 % (1010791)Instructions burned: 182 (million)
% 4.81/1.16 % (1010831)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3425878501:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.81/1.16 % (1010832)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3095860215:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 4.81/1.16 % TRYING [1]
% 4.81/1.16 % TRYING [2]
% 4.81/1.16 % (1010831)Instruction limit reached!
% 4.81/1.16 % (1010831)------------------------------
% 4.81/1.16 % (1010831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.16 % (1010831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.16 % (1010831)CaDiCaL version: 2.1.3
% 4.81/1.16 % (1010831)Termination reason: Instruction limit
% 4.81/1.16 % (1010831)Termination phase: Finite model building constraint generation
% 4.81/1.16 % (1010831)Time elapsed: 0.218 s
% 4.81/1.16 % (1010831)Peak memory usage: 33 MB
% 4.81/1.16 % (1010831)Instructions burned: 869 (million)
% 4.81/1.16 % (1010860)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3863072735:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 4.81/1.16 % (1010820)Instruction limit reached!
% 4.81/1.16 % (1010820)------------------------------
% 4.81/1.16 % (1010820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.16 % (1010820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.16 % (1010820)CaDiCaL version: 2.1.3
% 4.81/1.16 % (1010820)Termination reason: Instruction limit
% 4.81/1.16 % (1010820)Termination phase: Saturation
% 4.81/1.16 % (1010820)Time elapsed: 0.312 s
% 4.81/1.16 % (1010820)Peak memory usage: 14 MB
% 4.81/1.16 % (1010820)Instructions burned: 478 (million)
% 4.81/1.16 % (1010785)Instruction limit reached!
% 4.81/1.16 % (1010785)------------------------------
% 4.81/1.16 % (1010785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.16 % (1010785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.16 % (1010785)CaDiCaL version: 2.1.3
% 4.81/1.16 % (1010785)Termination reason: Instruction limit
% 4.81/1.16 % (1010785)Termination phase: Saturation
% 4.81/1.16 % (1010785)Time elapsed: 0.403 s
% 4.81/1.16 % (1010785)Peak memory usage: 19 MB
% 4.81/1.16 % (1010785)Instructions burned: 685 (million)
% 4.81/1.16 % (1010862)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1260927449:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.81/1.16 % (1010863)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=108290400:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 4.81/1.16 % (1010860)Cannot represent all propositional literals internally
% 4.81/1.16 % (1010860)Refutation not found, incomplete strategy
% 4.81/1.16 % (1010860)------------------------------
% 4.81/1.16 % (1010860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.16 % (1010860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.16 % (1010860)CaDiCaL version: 2.1.3
% 4.81/1.16 % (1010860)Termination reason: Refutation not found, incomplete strategy
% 4.81/1.16 % (1010860)Time elapsed: 0.083 s
% 4.81/1.16 % (1010860)Peak memory usage: 13 MB
% 4.81/1.16 % (1010860)Instructions burned: 154 (million)
% 4.81/1.16 % (1010860)------------------------------
% 4.81/1.16 % (1010860)------------------------------
% 4.81/1.16 % (1010866)fmb+10_1_sil=64000:random_seed=3138803192:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 4.81/1.16 % TRYING [1]
% 4.81/1.16 % TRYING [2]
% 4.81/1.16 % (1010832) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1010726-1010832"...
% 4.81/1.16 % (1010832)...printing done.
% 4.81/1.16 % (1010832)Refutation found. Thanks to Tanya!
% 4.81/1.16 % SZS status Unsatisfiable for theBenchmark
% 4.81/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 4.81/1.16 % (1010832)------------------------------
% 4.81/1.16 % (1010832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.81/1.16 % (1010832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.16 % (1010832)CaDiCaL version: 2.1.3
% 4.81/1.16 % (1010832)Termination reason: Refutation
% 4.81/1.16 % (1010832)Time elapsed: 0.440 s
% 4.81/1.16 % (1010832)Peak memory usage: 18 MB
% 4.81/1.16 % (1010832)Instructions burned: 638 (million)
% 4.81/1.16 % (1010726)Success in time 0.727 s
% 4.81/1.16 % Vampire exiting
%------------------------------------------------------------------------------