%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG399-1 : 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 18:03:34 EDT 2022
% Result : Unsatisfiable 0.15s 0.55s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(793,axiom,
equal(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)),
file('ALG399-1.p',unknown),
[] ).
cnf(807,axiom,
equal(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),u,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,u,tc_Complex_Ocomplex)),
file('ALG399-1.p',unknown),
[] ).
cnf(961,axiom,
~ equal(c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex)),
file('ALG399-1.p',unknown),
[] ).
cnf(997,plain,
equal(c_Polynomial_Opoly(v_q____,v_y____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)),
inference(rew,[status(thm),theory(equality)],[807,793]),
[iquote('0:Rew:807.0,793.0')] ).
cnf(999,plain,
~ equal(c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_x____,tc_Complex_Ocomplex)),
inference(rew,[status(thm),theory(equality)],[997,961,807]),
[iquote('0:Rew:997.0,961.0,807.0,961.0,997.0,961.0')] ).
cnf(1000,plain,
$false,
inference(obv,[status(thm),theory(equality)],[999]),
[iquote('0:Obv:999.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG399-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.11 % Command : run_spass %d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Wed Jun 8 15:47:21 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.15/0.55
% 0.15/0.55 SPASS V 3.9
% 0.15/0.55 SPASS beiseite: Proof found.
% 0.15/0.55 % SZS status Theorem
% 0.15/0.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.55 SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 745 clauses.
% 0.15/0.55 SPASS allocated 77229 KBytes.
% 0.15/0.55 SPASS spent 0:00:00.23 on the problem.
% 0.15/0.55 0:00:00.06 for the input.
% 0.15/0.55 0:00:00.00 for the FLOTTER CNF translation.
% 0.15/0.55 0:00:00.00 for inferences.
% 0.15/0.55 0:00:00.00 for the backtracking.
% 0.15/0.55 0:00:00.09 for the reduction.
% 0.15/0.55
% 0.15/0.55
% 0.15/0.55 Here is a proof with depth 0, length 6 :
% 0.15/0.55 % SZS output start Refutation
% See solution above
% 0.15/0.55 Formulae used in the proof : cls_calculation_0 cls_qr_0 cls_conjecture_0
% 0.15/0.55
%------------------------------------------------------------------------------