TSTP Solution File: ALG350-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG350-1 : 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 18:03:26 EDT 2022
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(325,axiom,
( ~ c_HOL_Oord__class_Oless(u,v,tc_RealDef_Oreal)
| c_lessequals(u,v,tc_RealDef_Oreal) ),
file('ALG350-1.p',unknown),
[] ).
cnf(351,axiom,
( ~ hBOOL(hAPP(v_P,u))
| c_HOL_Oord__class_Oless(u,v_Y____,tc_RealDef_Oreal) ),
file('ALG350-1.p',unknown),
[] ).
cnf(379,axiom,
hBOOL(hAPP(v_P,v_xa)),
file('ALG350-1.p',unknown),
[] ).
cnf(380,axiom,
~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
file('ALG350-1.p',unknown),
[] ).
cnf(393,plain,
c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal),
inference(res,[status(thm),theory(equality)],[379,351]),
[iquote('0:Res:379.0,351.0')] ).
cnf(397,plain,
~ c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal),
inference(res,[status(thm),theory(equality)],[325,380]),
[iquote('0:Res:325.1,380.0')] ).
cnf(430,plain,
$false,
inference(mrr,[status(thm)],[397,393]),
[iquote('0:MRR:397.0,393.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG350-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n019.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 : Wed Jun 8 22:54:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47
% 0.18/0.47 SPASS V 3.9
% 0.18/0.47 SPASS beiseite: Proof found.
% 0.18/0.47 % SZS status Theorem
% 0.18/0.47 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 SPASS derived 40 clauses, backtracked 0 clauses, performed 0 splits and kept 329 clauses.
% 0.18/0.47 SPASS allocated 76196 KBytes.
% 0.18/0.47 SPASS spent 0:00:00.12 on the problem.
% 0.18/0.47 0:00:00.04 for the input.
% 0.18/0.47 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.47 0:00:00.00 for inferences.
% 0.18/0.47 0:00:00.00 for the backtracking.
% 0.18/0.47 0:00:00.04 for the reduction.
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 Here is a proof with depth 1, length 7 :
% 0.18/0.47 % SZS output start Refutation
% See solution above
% 0.18/0.47 Formulae used in the proof : cls_real__less__def_0 cls_CHAINED_0 cls_conjecture_0 cls_conjecture_1
% 0.18/0.47
%------------------------------------------------------------------------------