TSTP Solution File: SWV592-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV592-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 : Wed Jul 20 21:44:29 EDT 2022
% Result : Unsatisfiable 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 27 RR)
% Number of literals : 27 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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(446,axiom,
equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ouminus__class_Ouminus(u,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('SWV592-1.p',unknown),
[] ).
cnf(823,axiom,
equal(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v,tc_RealDef_Oreal),v,tc_RealDef_Oreal),u),
file('SWV592-1.p',unknown),
[] ).
cnf(846,axiom,
equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ouminus__class_Ouminus(v,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(u,v,tc_RealDef_Oreal)),
file('SWV592-1.p',unknown),
[] ).
cnf(847,axiom,
equal(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(c_Transcendental_Opi)),
file('SWV592-1.p',unknown),
[] ).
cnf(848,axiom,
equal(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,u,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(u),tc_RealDef_Oreal)),
file('SWV592-1.p',unknown),
[] ).
cnf(849,axiom,
equal(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(u,c_Transcendental_Opi,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(u),tc_RealDef_Oreal)),
file('SWV592-1.p',unknown),
[] ).
cnf(851,axiom,
equal(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(u),tc_RealDef_Oreal),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(u,tc_RealDef_Oreal))),
file('SWV592-1.p',unknown),
[] ).
cnf(924,axiom,
~ equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal)),
file('SWV592-1.p',unknown),
[] ).
cnf(935,plain,
equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ouminus__class_Ouminus(u,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Osin(c_Transcendental_Opi)),
inference(rew,[status(thm),theory(equality)],[847,446]),
[iquote('0:Rew:847.0,446.0')] ).
cnf(936,plain,
equal(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(u,c_Transcendental_Opi,tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(u,tc_RealDef_Oreal))),
inference(rew,[status(thm),theory(equality)],[851,849]),
[iquote('0:Rew:851.0,849.0')] ).
cnf(937,plain,
equal(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,u,tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(u,tc_RealDef_Oreal))),
inference(rew,[status(thm),theory(equality)],[851,848]),
[iquote('0:Rew:851.0,848.0')] ).
cnf(942,plain,
~ equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal))),
inference(rew,[status(thm),theory(equality)],[851,924]),
[iquote('0:Rew:851.0,924.0')] ).
cnf(943,plain,
equal(c_HOL_Ominus__class_Ominus(u,u,tc_RealDef_Oreal),c_Transcendental_Osin(c_Transcendental_Opi)),
inference(rew,[status(thm),theory(equality)],[846,935]),
[iquote('0:Rew:846.0,935.0')] ).
cnf(1182,plain,
equal(c_HOL_Oplus__class_Oplus(c_Transcendental_Osin(c_Transcendental_Opi),u,tc_RealDef_Oreal),u),
inference(spr,[status(thm),theory(equality)],[943,823]),
[iquote('0:SpR:943.0,823.0')] ).
cnf(1244,plain,
equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(u,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(u)),
inference(spr,[status(thm),theory(equality)],[823,936]),
[iquote('0:SpR:823.0,936.0')] ).
cnf(1296,plain,
equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(u,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(u),tc_RealDef_Oreal)),
inference(spr,[status(thm),theory(equality)],[1244,851]),
[iquote('0:SpR:1244.0,851.0')] ).
cnf(1300,plain,
equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(u,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(u,tc_RealDef_Oreal))),
inference(rew,[status(thm),theory(equality)],[851,1296]),
[iquote('0:Rew:851.0,1296.0')] ).
cnf(1745,plain,
equal(c_HOL_Ominus__class_Ominus(c_Transcendental_Osin(c_Transcendental_Opi),u,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(u,tc_RealDef_Oreal)),
inference(spr,[status(thm),theory(equality)],[846,1182]),
[iquote('0:SpR:846.0,1182.0')] ).
cnf(1746,plain,
equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(u,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,u,tc_RealDef_Oreal))),
inference(spr,[status(thm),theory(equality)],[846,937]),
[iquote('0:SpR:846.0,937.0')] ).
cnf(1764,plain,
equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(u,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(u,tc_RealDef_Oreal))),
inference(rew,[status(thm),theory(equality)],[1746,1300]),
[iquote('0:Rew:1746.0,1300.0')] ).
cnf(1779,plain,
equal(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(u,tc_RealDef_Oreal),u,tc_RealDef_Oreal),c_Transcendental_Osin(c_Transcendental_Opi)),
inference(spr,[status(thm),theory(equality)],[1745,823]),
[iquote('0:SpR:1745.0,823.0')] ).
cnf(1800,plain,
equal(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(u,tc_RealDef_Oreal),tc_RealDef_Oreal),u,tc_RealDef_Oreal),c_Transcendental_Osin(c_Transcendental_Opi)),
inference(spr,[status(thm),theory(equality)],[1779,846]),
[iquote('0:SpR:1779.0,846.0')] ).
cnf(2037,plain,
equal(c_HOL_Oplus__class_Oplus(c_Transcendental_Osin(c_Transcendental_Opi),u,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(u,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(spr,[status(thm),theory(equality)],[1800,823]),
[iquote('0:SpR:1800.0,823.0')] ).
cnf(2058,plain,
equal(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(u,tc_RealDef_Oreal),tc_RealDef_Oreal),u),
inference(rew,[status(thm),theory(equality)],[1182,2037]),
[iquote('0:Rew:1182.0,2037.0')] ).
cnf(2062,plain,
equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,u,tc_RealDef_Oreal)),c_Transcendental_Osin(u)),
inference(rew,[status(thm),theory(equality)],[2058,1746]),
[iquote('0:Rew:2058.0,1746.0')] ).
cnf(2066,plain,
equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(u,c_Transcendental_Opi,tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(u,tc_RealDef_Oreal))),
inference(rew,[status(thm),theory(equality)],[2062,1764]),
[iquote('0:Rew:2062.0,1764.0')] ).
cnf(2070,plain,
$false,
inference(unc,[status(thm)],[2066,942]),
[iquote('0:UnC:2066.0,942.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV592-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n007.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 15 18:58:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.61/0.78
% 0.61/0.78 SPASS V 3.9
% 0.61/0.78 SPASS beiseite: Proof found.
% 0.61/0.78 % SZS status Theorem
% 0.61/0.78 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.78 SPASS derived 801 clauses, backtracked 0 clauses, performed 0 splits and kept 1007 clauses.
% 0.61/0.78 SPASS allocated 77919 KBytes.
% 0.61/0.78 SPASS spent 0:00:00.42 on the problem.
% 0.61/0.78 0:00:00.07 for the input.
% 0.61/0.78 0:00:00.00 for the FLOTTER CNF translation.
% 0.61/0.78 0:00:00.01 for inferences.
% 0.61/0.78 0:00:00.00 for the backtracking.
% 0.61/0.78 0:00:00.26 for the reduction.
% 0.61/0.78
% 0.61/0.78
% 0.61/0.78 Here is a proof with depth 5, length 27 :
% 0.61/0.78 % SZS output start Refutation
% See solution above
% 0.61/0.78 Formulae used in the proof : cls_real__add__eq__0__iff_1 cls_eq__diff__eq_H_0 cls_real__diff__def_0 cls_sin__pi_0 cls_sin__periodic__pi2_0 cls_sin__periodic__pi_0 cls_sin__minus_0 cls_conjecture_0
% 0.61/0.78
%------------------------------------------------------------------------------