TSTP Solution File: SWV594-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV594-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 21:44:30 EDT 2022
% Result : Unsatisfiable 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 14 unt; 0 nHn; 18 RR)
% Number of literals : 24 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(753,axiom,
~ c_HOL_Oord__class_Oless(u,u,tc_RealDef_Oreal),
file('SWV594-1.p',unknown),
[] ).
cnf(908,axiom,
equal(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Otan(c_Transcendental_Opi)),
file('SWV594-1.p',unknown),
[] ).
cnf(1074,axiom,
( ~ c_HOL_Oord__class_Oless(u,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),u,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(u),tc_RealDef_Oreal) ),
file('SWV594-1.p',unknown),
[] ).
cnf(1087,axiom,
equal(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(c_Transcendental_Opi)),
file('SWV594-1.p',unknown),
[] ).
cnf(1090,axiom,
c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),
file('SWV594-1.p',unknown),
[] ).
cnf(1091,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
file('SWV594-1.p',unknown),
[] ).
cnf(1205,axiom,
equal(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(v_x)),
file('SWV594-1.p',unknown),
[] ).
cnf(1206,plain,
c_HOL_Oord__class_Oless(c_Transcendental_Osin(v_x),v_x,tc_RealDef_Oreal),
inference(rew,[status(thm),theory(equality)],[1205,1091]),
[iquote('0:Rew:1205.0,1091.0')] ).
cnf(1208,plain,
equal(c_Transcendental_Osin(v_x),c_Transcendental_Osin(c_Transcendental_Opi)),
inference(rew,[status(thm),theory(equality)],[1205,1087]),
[iquote('0:Rew:1205.0,1087.0')] ).
cnf(1209,plain,
equal(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(c_Transcendental_Opi)),
inference(rew,[status(thm),theory(equality)],[1208,1205]),
[iquote('0:Rew:1208.0,1205.0')] ).
cnf(1210,plain,
c_HOL_Oord__class_Oless(c_Transcendental_Osin(c_Transcendental_Opi),v_x,tc_RealDef_Oreal),
inference(rew,[status(thm),theory(equality)],[1208,1206]),
[iquote('0:Rew:1208.0,1206.0')] ).
cnf(1214,plain,
equal(c_Transcendental_Osin(c_Transcendental_Opi),c_Transcendental_Otan(c_Transcendental_Opi)),
inference(rew,[status(thm),theory(equality)],[908,1209]),
[iquote('0:Rew:908.0,1209.0')] ).
cnf(1215,plain,
equal(c_Transcendental_Osin(v_x),c_Transcendental_Otan(c_Transcendental_Opi)),
inference(rew,[status(thm),theory(equality)],[1214,1208]),
[iquote('0:Rew:1214.0,1208.0')] ).
cnf(1216,plain,
c_HOL_Oord__class_Oless(c_Transcendental_Otan(c_Transcendental_Opi),v_x,tc_RealDef_Oreal),
inference(rew,[status(thm),theory(equality)],[1214,1210]),
[iquote('0:Rew:1214.0,1210.0')] ).
cnf(1293,plain,
( ~ c_HOL_Oord__class_Oless(u,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(c_Transcendental_Opi),u,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Otan(c_Transcendental_Opi),c_Transcendental_Osin(u),tc_RealDef_Oreal) ),
inference(rew,[status(thm),theory(equality)],[908,1074]),
[iquote('0:Rew:908.0,1074.2,908.0,1074.1')] ).
cnf(1375,plain,
( ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Otan(c_Transcendental_Opi),c_Transcendental_Osin(v_x),tc_RealDef_Oreal) ),
inference(res,[status(thm),theory(equality)],[1216,1293]),
[iquote('0:Res:1216.0,1293.1')] ).
cnf(1456,plain,
( ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Otan(c_Transcendental_Opi),c_Transcendental_Otan(c_Transcendental_Opi),tc_RealDef_Oreal) ),
inference(rew,[status(thm),theory(equality)],[1215,1375]),
[iquote('0:Rew:1215.0,1375.1')] ).
cnf(1457,plain,
$false,
inference(mrr,[status(thm)],[1456,1090,753]),
[iquote('0:MRR:1456.0,1456.1,1090.0,753.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV594-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n009.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 : Thu Jun 16 04:16:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.55/0.75
% 0.55/0.75 SPASS V 3.9
% 0.55/0.75 SPASS beiseite: Proof found.
% 0.55/0.75 % SZS status Theorem
% 0.55/0.75 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.75 SPASS derived 65 clauses, backtracked 0 clauses, performed 0 splits and kept 1086 clauses.
% 0.55/0.75 SPASS allocated 77695 KBytes.
% 0.55/0.75 SPASS spent 0:00:00.39 on the problem.
% 0.55/0.75 0:00:00.09 for the input.
% 0.55/0.75 0:00:00.00 for the FLOTTER CNF translation.
% 0.55/0.75 0:00:00.00 for inferences.
% 0.55/0.75 0:00:00.00 for the backtracking.
% 0.55/0.75 0:00:00.19 for the reduction.
% 0.55/0.75
% 0.55/0.75
% 0.55/0.75 Here is a proof with depth 1, length 18 :
% 0.55/0.75 % SZS output start Refutation
% See solution above
% 0.55/0.75 Formulae used in the proof : cls_real__less__def_1 cls_tan__pi_0 cls_sin__gt__zero__pi_0 cls_sin__pi_0 cls_CHAINED_0 cls_CHAINED_0_01 cls_conjecture_0
% 0.55/0.75
%------------------------------------------------------------------------------