TSTP Solution File: ALG339-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG339-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 18:03:23 EDT 2022
% Result : Unsatisfiable 1.06s 1.24s
% Output : Refutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 14 ( 6 unt; 0 nHn; 14 RR)
% Number of literals : 26 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(412,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),u,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(u,v),tc_RealDef_Oreal) ),
file('ALG339-1.p',unknown),
[] ).
cnf(432,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),u,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(u,v),v,tc_RealDef_Oreal) ),
file('ALG339-1.p',unknown),
[] ).
cnf(433,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),u,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(u,v),u,tc_RealDef_Oreal) ),
file('ALG339-1.p',unknown),
[] ).
cnf(544,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal),
file('ALG339-1.p',unknown),
[] ).
cnf(545,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal),
file('ALG339-1.p',unknown),
[] ).
cnf(546,axiom,
( ~ c_HOL_Oord__class_Oless(u,v_d1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(u,v_d2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),u,tc_RealDef_Oreal) ),
file('ALG339-1.p',unknown),
[] ).
cnf(592,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),u,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,u),tc_RealDef_Oreal) ),
inference(res,[status(thm),theory(equality)],[545,412]),
[iquote('0:Res:545.0,412.1')] ).
cnf(593,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),u,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,u),u,tc_RealDef_Oreal) ),
inference(res,[status(thm),theory(equality)],[545,432]),
[iquote('0:Res:545.0,432.1')] ).
cnf(594,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),u,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,u),v_d2,tc_RealDef_Oreal) ),
inference(res,[status(thm),theory(equality)],[545,433]),
[iquote('0:Res:545.0,433.1')] ).
cnf(879,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,v_d1),tc_RealDef_Oreal),
inference(res,[status(thm),theory(equality)],[544,592]),
[iquote('0:Res:544.0,592.0')] ).
cnf(885,plain,
c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,v_d1),v_d2,tc_RealDef_Oreal),
inference(res,[status(thm),theory(equality)],[544,594]),
[iquote('0:Res:544.0,594.0')] ).
cnf(886,plain,
c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,v_d1),v_d1,tc_RealDef_Oreal),
inference(res,[status(thm),theory(equality)],[544,593]),
[iquote('0:Res:544.0,593.0')] ).
cnf(5478,plain,
( ~ c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,v_d1),v_d1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,v_d1),v_d2,tc_RealDef_Oreal) ),
inference(res,[status(thm),theory(equality)],[879,546]),
[iquote('0:Res:879.0,546.2')] ).
cnf(5549,plain,
$false,
inference(mrr,[status(thm)],[5478,886,885]),
[iquote('0:MRR:5478.0,5478.1,886.0,885.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG339-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 03:52:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.06/1.24
% 1.06/1.24 SPASS V 3.9
% 1.06/1.24 SPASS beiseite: Proof found.
% 1.06/1.24 % SZS status Theorem
% 1.06/1.24 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/1.24 SPASS derived 4141 clauses, backtracked 0 clauses, performed 0 splits and kept 1832 clauses.
% 1.06/1.24 SPASS allocated 80318 KBytes.
% 1.06/1.24 SPASS spent 0:00:00.87 on the problem.
% 1.06/1.24 0:00:00.05 for the input.
% 1.06/1.24 0:00:00.00 for the FLOTTER CNF translation.
% 1.06/1.24 0:00:00.07 for inferences.
% 1.06/1.24 0:00:00.00 for the backtracking.
% 1.06/1.24 0:00:00.63 for the reduction.
% 1.06/1.24
% 1.06/1.24
% 1.06/1.24 Here is a proof with depth 3, length 14 :
% 1.06/1.24 % SZS output start Refutation
% See solution above
% 1.06/1.24 Formulae used in the proof : cls_real__lbound__gt__zero_0 cls_real__lbound__gt__zero_2 cls_real__lbound__gt__zero_1 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2
% 1.06/1.24
%------------------------------------------------------------------------------