TSTP Solution File: SCT171+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SCT171+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:02:12 EDT 2024
% Result : Theorem 0.23s 0.40s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 53
% Syntax : Number of formulae : 112 ( 105 unt; 0 def)
% Number of atoms : 125 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 20 ~; 9 |; 2 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 85 ( 85 usr; 39 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1543,plain,
$false,
inference(global_subsumption,[],[f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1056]) ).
fof(f1056,plain,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ),
inference(cnf_transformation,[],[f858]) ).
fof(f858,plain,
( ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) )
& ( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e))))))
| ~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,axiom,
( hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p)))
<=> hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_PW) ).
fof(f1054,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
inference(cnf_transformation,[],[f102]) ).
fof(f102,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(e,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(f1053,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,e)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
inference(cnf_transformation,[],[f101]) ).
fof(f101,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,e)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(f1052,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
inference(cnf_transformation,[],[f97]) ).
fof(f97,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
fof(f1051,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))),arrow_413697182e_Prof)),
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(ord_less_nat,h),n)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_78446834_mktop,p),e)),cOMBS_867867294t_bool(cOMBS_102864562t_bool(cOMBB_963584201e_indi(if_fun1419651289t_bool,cOMBC_277798809t_bool(cOMBB_317992461e_indi(fequal_nat,h),n)),cOMBC_1778077589t_bool(cOMBC_493523632t_bool(cOMBB_69933763e_indi(arrow_812378712_above,p),c),e)),cOMBC_1778077589t_bool(cOMBB_1292070696e_indi(arrow_2077223396_mkbot,p),e)))),arrow_413697182e_Prof)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16__096_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai) ).
fof(f1050,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,h),n)))),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_A1374816149t_bool(p,hAPP_n385347014e_indi(hilber1792103167di_nat(top_to1256827021i_bool,h),n)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0) ).
fof(f1049,plain,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))),
inference(cnf_transformation,[],[f199]) ).
fof(f199,axiom,
hBOOL(hAPP_f213304539l_bool(member1622429502t_bool(f),pi_fun433100839t_bool(arrow_413697182e_Prof,hAPP_f20355883l_bool(cOMBK_1088865252t_bool,arrow_1239002508le_Lin)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_115_assms_I1_J) ).
fof(f1048,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)),
inference(cnf_transformation,[],[f279]) ).
fof(f279,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lab)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096) ).
fof(f1047,plain,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)),
inference(cnf_transformation,[],[f278]) ).
fof(f278,axiom,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lba)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096) ).
fof(f1046,plain,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))),
inference(cnf_transformation,[],[f103]) ).
fof(f103,axiom,
hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,n),finite120254591e_indi(top_to1256827021i_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_n_I1_J) ).
fof(f1045,plain,
is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
is_fun282293932t_bool(undefi802509179t_bool(fun(product_prod(arrow_1812558424le_alt,arrow_1812558424le_alt),bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fj) ).
fof(f1044,plain,
arrow_413697182e_Prof = pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)),
inference(cnf_transformation,[],[f253]) ).
fof(f253,axiom,
arrow_413697182e_Prof = pi_Arr688267935t_bool(top_to1256827021i_bool,hAPP_f1979025587l_bool(cOMBK_1158753900e_indi,arrow_1239002508le_Lin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_169_Prof__def) ).
fof(f1043,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)),
inference(cnf_transformation,[],[f280]) ).
fof(f280,axiom,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(a,b)),lba)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196__096_Ia_M_Ab_J_A_126_058_ALba_096) ).
fof(f1042,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)),
inference(cnf_transformation,[],[f281]) ).
fof(f281,axiom,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(b,a)),lab)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_197__096_Ib_M_Aa_J_A_126_058_ALab_096) ).
fof(f1041,plain,
top_to1256827021i_bool = collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)),
inference(cnf_transformation,[],[f179]) ).
fof(f179,axiom,
top_to1256827021i_bool = collec45183100e_indi(hAPP_b1018211123i_bool(cOMBK_1157044842e_indi,fTrue)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_UNIV__def) ).
fof(f1040,plain,
top_to2005687013l_bool = collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)),
inference(cnf_transformation,[],[f175]) ).
fof(f175,axiom,
top_to2005687013l_bool = collec874260222t_bool(hAPP_b1965422783l_bool(cOMBK_977355664t_bool,fTrue)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_UNIV__def) ).
fof(f1039,plain,
top_to40512653l_bool = collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)),
inference(cnf_transformation,[],[f177]) ).
fof(f177,axiom,
top_to40512653l_bool = collec1520786044t_bool(hAPP_b990649139l_bool(cOMBK_580911210t_bool,fTrue)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_UNIV__def) ).
fof(f1038,plain,
top_to1194196741l_bool = collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)),
inference(cnf_transformation,[],[f176]) ).
fof(f176,axiom,
top_to1194196741l_bool = collec1580242420t_bool(hAPP_b1719629739l_bool(cOMBK_789167586t_bool,fTrue)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_UNIV__def) ).
fof(f1037,plain,
top_to2034604131t_bool = collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)),
inference(cnf_transformation,[],[f178]) ).
fof(f178,axiom,
top_to2034604131t_bool = collec1711870802le_alt(hAPP_b1024867081t_bool(cOMBK_2069093696le_alt,fTrue)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_UNIV__def) ).
fof(f1036,plain,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)),
inference(cnf_transformation,[],[f87]) ).
fof(f87,axiom,
hBOOL(hAPP_f453661011l_bool(member1277417654t_bool(p),arrow_413697182e_Prof)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__096P_A_058_AProf_096) ).
fof(f1035,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)),
inference(cnf_transformation,[],[f200]) ).
fof(f200,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lba),arrow_1239002508le_Lin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_116__096Lba_A_058_ALin_096) ).
fof(f1034,plain,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)),
inference(cnf_transformation,[],[f201]) ).
fof(f201,axiom,
hBOOL(hAPP_f503012287l_bool(member1965683644t_bool(lab),arrow_1239002508le_Lin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117__096Lab_A_058_ALin_096) ).
fof(f1033,plain,
hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)),
inference(cnf_transformation,[],[f104]) ).
fof(f104,axiom,
hBOOL(inj_on24934938di_nat(h,top_to1256827021i_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_injh) ).
fof(f1032,plain,
hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)),
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
hBOOL(hAPP_f785543729l_bool(arrow_467566751nimity,f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_u) ).
fof(f1031,plain,
hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
hBOOL(hAPP_f785543729l_bool(arrow_1212118780le_IIA,f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I3_J) ).
fof(f1030,plain,
is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
is_Arr625519182e_indi(undefi818645567e_indi(arrow_2110637339e_indi)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi) ).
fof(f1029,plain,
is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
is_Arr553848933le_alt(undefi1301554228le_alt(arrow_1812558424le_alt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt) ).
fof(f1028,plain,
c != d,
inference(cnf_transformation,[],[f86]) ).
fof(f86,axiom,
c != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__096c_A_126_061_Ad_096) ).
fof(f1027,plain,
a != b,
inference(cnf_transformation,[],[f277]) ).
fof(f277,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193__096a_A_126_061_Ab_096) ).
fof(f1026,plain,
hBOOL(fTrue),
inference(cnf_transformation,[],[f282]) ).
fof(f282,axiom,
hBOOL(fTrue),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).
fof(f1025,plain,
is_bool(fTrue),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
is_bool(fTrue),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_fTrue) ).
fof(f1024,plain,
is_bool(top_top_bool),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
is_bool(top_top_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__HOL__Obool) ).
fof(f1023,plain,
is_bool(fFalse),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
is_bool(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_fFalse) ).
fof(f1022,plain,
is_fun282293932t_bool(top_to2034604131t_bool),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
is_fun282293932t_bool(top_to2034604131t_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__prod_Itc__Arrow____Order____Mir) ).
fof(f1021,plain,
is_fun282293932t_bool(lba),
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
is_fun282293932t_bool(lba),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_Lba____) ).
fof(f1020,plain,
is_fun282293932t_bool(lab),
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
is_fun282293932t_bool(lab),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_Lab____) ).
fof(f1019,plain,
is_fun432044380l_bool(arrow_1239002508le_Lin),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
is_fun432044380l_bool(arrow_1239002508le_Lin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OLin) ).
fof(f1018,plain,
is_fun432044380l_bool(top_to2005687013l_bool),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
is_fun432044380l_bool(top_to2005687013l_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Ord) ).
fof(f1017,plain,
is_Arr553848933le_alt(e),
inference(cnf_transformation,[],[f83]) ).
fof(f83,axiom,
is_Arr553848933le_alt(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_e____) ).
fof(f1016,plain,
is_Arr553848933le_alt(b),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
is_Arr553848933le_alt(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_b____) ).
fof(f1015,plain,
is_Arr553848933le_alt(a),
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
is_Arr553848933le_alt(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_a____) ).
fof(f1014,plain,
is_fun917378774i_bool(top_to1256827021i_bool),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
is_fun917378774i_bool(top_to1256827021i_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__Arrow____Order____Mirabelle____) ).
fof(f1013,plain,
is_fun631676118l_bool(top_to40512653l_bool),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
is_fun631676118l_bool(top_to40512653l_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__fun_Itc__Arrow____Orde) ).
fof(f1012,plain,
is_fun631676118l_bool(arrow_467566751nimity),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
is_fun631676118l_bool(arrow_467566751nimity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_Ounanimity) ).
fof(f1011,plain,
is_fun631676118l_bool(arrow_1212118780le_IIA),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
is_fun631676118l_bool(arrow_1212118780le_IIA),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OIIA) ).
fof(f1010,plain,
is_fun959573582l_bool(arrow_413697182e_Prof),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
is_fun959573582l_bool(arrow_413697182e_Prof),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__fjewxadnqg_OProf) ).
fof(f1009,plain,
is_fun959573582l_bool(top_to1194196741l_bool),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
is_fun959573582l_bool(top_to1194196741l_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Otop__class_Otop_000tc__fun_Itc__fun_Itc__Arrow____Order____Mira) ).
fof(f1008,plain,
! [X0,X1] :
( is_bool(hAPP_f745298353l_bool(X0,X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun432044380l_bool(X0) ),
inference(cnf_transformation,[],[f536]) ).
fof(f536,plain,
! [X0,X1] :
( is_bool(hAPP_f745298353l_bool(X0,X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun432044380l_bool(X0) ),
inference(flattening,[],[f535]) ).
fof(f535,plain,
! [X0,X1] :
( is_bool(hAPP_f745298353l_bool(X0,X1))
| ~ is_fun282293932t_bool(X1)
| ~ is_fun432044380l_bool(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1] :
( ( is_fun282293932t_bool(X1)
& is_fun432044380l_bool(X0) )
=> is_bool(hAPP_f745298353l_bool(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg___020) ).
fof(f1007,plain,
! [X0,X1] : is_fun282293932t_bool(hAPP_f695124765t_bool(X0,X1)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] : is_fun282293932t_bool(hAPP_f695124765t_bool(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oindi_Mtc__008) ).
fof(f1006,plain,
! [X0] : is_fun432044380l_bool(member1056080916le_alt(X0)),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] : is_fun432044380l_bool(member1056080916le_alt(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__Arrow____Order____Mirabelle____fjewxadnqg__Oalt_Mt) ).
fof(f1005,plain,
is_Arr553848933le_alt(c),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
is_Arr553848933le_alt(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_c____) ).
fof(f1004,plain,
is_Arr553848933le_alt(d),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
is_Arr553848933le_alt(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_d____) ).
fof(f1003,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(cnf_transformation,[],[f324]) ).
fof(f324,plain,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(flattening,[],[f323]) ).
fof(f323,negated_conjecture,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
inference(negated_conjecture,[],[f322]) ).
fof(f322,conjecture,
hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SCT171+1 : TPTP v8.1.2. Released v5.3.0.
% 0.15/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 13:36:02 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (28548)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.39 % (28551)WARNING: value z3 for option sas not known
% 0.23/0.39 % (28551)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.23/0.40 % (28550)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.40 % (28549)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.40 % (28552)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.40 % (28553)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.23/0.40 % (28554)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.23/0.40 % (28555)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.23/0.40 % (28551)First to succeed.
% 0.23/0.40 % (28551)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28548"
% 0.23/0.40 % (28551)Refutation found. Thanks to Tanya!
% 0.23/0.40 % SZS status Theorem for theBenchmark
% 0.23/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.40 % (28551)------------------------------
% 0.23/0.40 % (28551)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.40 % (28551)Termination reason: Refutation
% 0.23/0.40
% 0.23/0.40 % (28551)Memory used [KB]: 1727
% 0.23/0.40 % (28551)Time elapsed: 0.013 s
% 0.23/0.40 % (28551)Instructions burned: 40 (million)
% 0.23/0.40 % (28548)Success in time 0.038 s
%------------------------------------------------------------------------------