TSTP Solution File: ALG382-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG382-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 18:03:32 EDT 2022
% Result : Unsatisfiable 0.15s 0.52s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(822,axiom,
equal(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),u,tc_RealDef_Oreal),u),
file('ALG382-1.p',unknown),
[] ).
cnf(841,axiom,
c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('ALG382-1.p',unknown),
[] ).
cnf(992,axiom,
~ c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('ALG382-1.p',unknown),
[] ).
cnf(1023,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(rew,[status(thm),theory(equality)],[822,992]),
[iquote('0:Rew:822.0,992.0')] ).
cnf(1024,plain,
$false,
inference(mrr,[status(thm)],[1023,841]),
[iquote('0:MRR:1023.0,841.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG382-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.10 % Command : run_spass %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Thu Jun 9 02:37:37 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.52
% 0.15/0.52 SPASS V 3.9
% 0.15/0.52 SPASS beiseite: Proof found.
% 0.15/0.52 % SZS status Theorem
% 0.15/0.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.52 SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 668 clauses.
% 0.15/0.52 SPASS allocated 77173 KBytes.
% 0.15/0.52 SPASS spent 0:00:00.21 on the problem.
% 0.15/0.52 0:00:00.06 for the input.
% 0.15/0.52 0:00:00.00 for the FLOTTER CNF translation.
% 0.15/0.52 0:00:00.00 for inferences.
% 0.15/0.52 0:00:00.00 for the backtracking.
% 0.15/0.52 0:00:00.07 for the reduction.
% 0.15/0.52
% 0.15/0.52
% 0.15/0.52 Here is a proof with depth 0, length 5 :
% 0.15/0.52 % SZS output start Refutation
% See solution above
% 0.15/0.52 Formulae used in the proof : cls_real__mult__1_0 cls_CHAINED_0 cls_conjecture_0
% 0.15/0.52
%------------------------------------------------------------------------------