TSTP Solution File: ALG363-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG363-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 : Thu Jul 14 18:03:29 EDT 2022
% Result : Unsatisfiable 0.39s 0.55s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 18 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(212,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(u,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('ALG363-1.p',unknown),
[] ).
cnf(229,axiom,
equal(c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal)),
file('ALG363-1.p',unknown),
[] ).
cnf(516,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(u)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(u),v,u)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),w,u)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),c_HOL_Oplus__class_Oplus(v,w,u),u) ),
file('ALG363-1.p',unknown),
[] ).
cnf(610,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
file('ALG363-1.p',unknown),
[] ).
cnf(611,axiom,
c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(u)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('ALG363-1.p',unknown),
[] ).
cnf(620,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
file('ALG363-1.p',unknown),
[] ).
cnf(698,axiom,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('ALG363-1.p',unknown),
[] ).
cnf(719,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(mrr,[status(thm)],[698,611]),
[iquote('0:MRR:698.0,611.0')] ).
cnf(748,plain,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ),
inference(res,[status(thm),theory(equality)],[516,719]),
[iquote('0:Res:516.3,719.0')] ).
cnf(789,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(mrr,[status(thm)],[748,620,610]),
[iquote('0:MRR:748.0,748.2,620.0,610.0')] ).
cnf(816,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(spr,[status(thm),theory(equality)],[229,212]),
[iquote('0:SpR:229.0,212.0')] ).
cnf(817,plain,
$false,
inference(mrr,[status(thm)],[816,789]),
[iquote('0:MRR:816.0,789.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG363-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n019.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 : Wed Jun 8 09:41:40 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.39/0.55
% 0.39/0.55 SPASS V 3.9
% 0.39/0.55 SPASS beiseite: Proof found.
% 0.39/0.55 % SZS status Theorem
% 0.39/0.55 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.55 SPASS derived 48 clauses, backtracked 0 clauses, performed 1 splits and kept 641 clauses.
% 0.39/0.55 SPASS allocated 76669 KBytes.
% 0.39/0.55 SPASS spent 0:00:00.19 on the problem.
% 0.39/0.55 0:00:00.06 for the input.
% 0.39/0.55 0:00:00.00 for the FLOTTER CNF translation.
% 0.39/0.55 0:00:00.00 for inferences.
% 0.39/0.55 0:00:00.00 for the backtracking.
% 0.39/0.55 0:00:00.08 for the reduction.
% 0.39/0.55
% 0.39/0.55
% 0.39/0.55 Here is a proof with depth 1, length 12 :
% 0.39/0.55 % SZS output start Refutation
% See solution above
% 0.39/0.55 Formulae used in the proof : cls_exp__gt__zero_0 cls_exp__eq__one__iff_1 cls_add__nonneg__pos_0 cls_CHAINED_0 cls_CHAINED_0_01 clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add cls_conjecture_0
% 0.39/0.55
%------------------------------------------------------------------------------