TSTP Solution File: ALG373-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG373-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 18:03:31 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(348,axiom,
( ~ equal(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v,u,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v,tc_RealDef_Oreal))
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(u,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(v,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('ALG373-1.p',unknown),
[] ).
cnf(483,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(v_xa(u),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('ALG373-1.p',unknown),
[] ).
cnf(484,axiom,
equal(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v,v_xa(u),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_x(u),tc_RealDef_Oreal)),
file('ALG373-1.p',unknown),
[] ).
cnf(485,axiom,
~ c_HOL_Oord__class_Oless(v_x(u),u,tc_RealDef_Oreal),
file('ALG373-1.p',unknown),
[] ).
cnf(587,plain,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(v_xa(u),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(v_x(u),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(res,[status(thm),theory(equality)],[484,348]),
[iquote('0:Res:484.0,348.0')] ).
cnf(594,plain,
c_HOL_Oord__class_Oless(v_x(u),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(mrr,[status(thm)],[587,483]),
[iquote('0:MRR:587.0,483.0')] ).
cnf(595,plain,
$false,
inference(unc,[status(thm)],[594,485]),
[iquote('0:UnC:594.0,485.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG373-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 05:40:47 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.49
% 0.20/0.49 SPASS V 3.9
% 0.20/0.49 SPASS beiseite: Proof found.
% 0.20/0.49 % SZS status Theorem
% 0.20/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 SPASS derived 37 clauses, backtracked 0 clauses, performed 0 splits and kept 437 clauses.
% 0.20/0.49 SPASS allocated 76295 KBytes.
% 0.20/0.49 SPASS spent 0:00:00.14 on the problem.
% 0.20/0.49 0:00:00.05 for the input.
% 0.20/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.49 0:00:00.00 for inferences.
% 0.20/0.49 0:00:00.00 for the backtracking.
% 0.20/0.49 0:00:00.05 for the reduction.
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 Here is a proof with depth 1, length 7 :
% 0.20/0.49 % SZS output start Refutation
% See solution above
% 0.20/0.49 Formulae used in the proof : cls_CHAINED_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2
% 0.20/0.49
%------------------------------------------------------------------------------