TSTP Solution File: SCT171+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SCT171+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 : 600s
% DateTime : Mon Jul 18 22:13:55 EDT 2022
% Result : Theorem 0.48s 0.69s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 4 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 26 ( 26 usr; 13 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(184,axiom,
~ hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))),
file('SCT171+1.p',unknown),
[] ).
cnf(427,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('SCT171+1.p',unknown),
[] ).
cnf(434,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))))))
| hBOOL(hAPP_f745298353l_bool(member1056080916le_alt(produc171383831le_alt(c,d)),hAPP_f695124765t_bool(f,p))) ),
file('SCT171+1.p',unknown),
[] ).
cnf(464,plain,
$false,
inference(mrr,[status(thm)],[434,427,184]),
[iquote('0:MRR:434.0,434.1,427.0,184.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT171+1 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 1 21:43:00 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.48/0.69
% 0.48/0.69 SPASS V 3.9
% 0.48/0.69 SPASS beiseite: Proof found.
% 0.48/0.69 % SZS status Theorem
% 0.48/0.69 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.69 SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 357 clauses.
% 0.48/0.69 SPASS allocated 99620 KBytes.
% 0.48/0.69 SPASS spent 0:00:00.32 on the problem.
% 0.48/0.69 0:00:00.04 for the input.
% 0.48/0.69 0:00:00.15 for the FLOTTER CNF translation.
% 0.48/0.69 0:00:00.00 for inferences.
% 0.48/0.69 0:00:00.00 for the backtracking.
% 0.48/0.69 0:00:00.07 for the reduction.
% 0.48/0.69
% 0.48/0.69
% 0.48/0.69 Here is a proof with depth 0, length 4 :
% 0.48/0.69 % SZS output start Refutation
% See solution above
% 0.48/0.69 Formulae used in the proof : conj_0 fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto fact_14_PW
% 0.48/0.69
%------------------------------------------------------------------------------