TSTP Solution File: SYN710-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN710-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : Thu Jul 21 12:23:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 4 unt; 2 nHn; 16 RR)
% Number of literals : 30 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(25,axiom,
~ p33(f11(c46,c50),f9(c47,c43)),
file('SYN710-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ p33(f18(c51,u),v)
| p36(v,u) ),
file('SYN710-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ p36(u,v)
| p33(f18(c51,v),u) ),
file('SYN710-1.p',unknown),
[] ).
cnf(50,axiom,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
file('SYN710-1.p',unknown),
[] ).
cnf(72,axiom,
( p33(f11(c46,u),v)
| p33(f18(c51,f20(f22(c52,u),v)),u) ),
file('SYN710-1.p',unknown),
[] ).
cnf(73,axiom,
( ~ p33(f18(c51,f20(f22(c52,u),v)),v)
| p33(f11(c46,u),v) ),
file('SYN710-1.p',unknown),
[] ).
cnf(75,axiom,
( ~ p33(f18(c51,u),v)
| p33(f18(c51,u),f13(f16(c48,w),v)) ),
file('SYN710-1.p',unknown),
[] ).
cnf(80,axiom,
( ~ p33(f18(c51,u),v)
| ~ p33(f11(c46,v),w)
| p33(f18(c51,u),w) ),
file('SYN710-1.p',unknown),
[] ).
cnf(142,plain,
( ~ p33(f18(c51,u),v)
| p36(f13(f16(c48,w),v),u) ),
inference(res,[status(thm),theory(equality)],[75,27]),
[iquote('0:Res:75.1,27.0')] ).
cnf(218,plain,
( ~ p36(u,v)
| ~ p33(f11(c46,u),w)
| p33(f18(c51,v),w) ),
inference(res,[status(thm),theory(equality)],[28,80]),
[iquote('0:Res:28.1,80.0')] ).
cnf(273,plain,
( ~ p36(f13(f16(c48,c49),c50),u)
| p33(f18(c51,u),f9(c47,c43)) ),
inference(res,[status(thm),theory(equality)],[50,218]),
[iquote('0:Res:50.0,218.1')] ).
cnf(339,plain,
( ~ p33(f18(c51,u),c50)
| p33(f18(c51,u),f9(c47,c43)) ),
inference(res,[status(thm),theory(equality)],[142,273]),
[iquote('0:Res:142.1,273.0')] ).
cnf(347,plain,
( ~ p33(f18(c51,f20(f22(c52,u),f9(c47,c43))),c50)
| p33(f11(c46,u),f9(c47,c43)) ),
inference(res,[status(thm),theory(equality)],[339,73]),
[iquote('0:Res:339.1,73.0')] ).
cnf(589,plain,
( p33(f11(c46,c50),f9(c47,c43))
| p33(f11(c46,c50),f9(c47,c43)) ),
inference(res,[status(thm),theory(equality)],[72,347]),
[iquote('0:Res:72.1,347.0')] ).
cnf(593,plain,
p33(f11(c46,c50),f9(c47,c43)),
inference(obv,[status(thm),theory(equality)],[589]),
[iquote('0:Obv:589.0')] ).
cnf(594,plain,
$false,
inference(mrr,[status(thm)],[593,25]),
[iquote('0:MRR:593.0,25.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN710-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 08:33:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.51
% 0.19/0.51 SPASS V 3.9
% 0.19/0.51 SPASS beiseite: Proof found.
% 0.19/0.51 % SZS status Theorem
% 0.19/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 SPASS derived 481 clauses, backtracked 0 clauses, performed 0 splits and kept 418 clauses.
% 0.19/0.51 SPASS allocated 63770 KBytes.
% 0.19/0.51 SPASS spent 0:00:00.16 on the problem.
% 0.19/0.51 0:00:00.04 for the input.
% 0.19/0.51 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.51 0:00:00.01 for inferences.
% 0.19/0.51 0:00:00.00 for the backtracking.
% 0.19/0.51 0:00:00.08 for the reduction.
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 Here is a proof with depth 5, length 16 :
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 Formulae used in the proof : not_p33_25 p36_27 p33_28 p33_50 p33_72 p33_73 p33_75 p33_80
% 0.19/0.51
%------------------------------------------------------------------------------