TSTP Solution File: SYN613-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN613-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 12:23:12 EDT 2022
% Result : Unsatisfiable 0.51s 0.72s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 19 RR)
% Number of literals : 33 ( 0 equ; 16 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p11(u,u),
file('SYN613-1.p',unknown),
[] ).
cnf(4,axiom,
p3(u,u),
file('SYN613-1.p',unknown),
[] ).
cnf(6,axiom,
p16(u,u),
file('SYN613-1.p',unknown),
[] ).
cnf(7,axiom,
p11(c23,f12(f9(c21))),
file('SYN613-1.p',unknown),
[] ).
cnf(8,axiom,
p11(c24,f12(f9(c21))),
file('SYN613-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ p11(u,v)
| ~ p11(u,w)
| p11(w,v) ),
file('SYN613-1.p',unknown),
[] ).
cnf(21,axiom,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
file('SYN613-1.p',unknown),
[] ).
cnf(22,axiom,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
file('SYN613-1.p',unknown),
[] ).
cnf(29,axiom,
( ~ p11(u,v)
| ~ p16(w,x)
| ~ p3(y,z)
| ~ p17(w,y,u)
| p17(x,z,v) ),
file('SYN613-1.p',unknown),
[] ).
cnf(60,plain,
( ~ p11(u,v)
| p11(v,u) ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.0')] ).
cnf(64,plain,
p11(f12(f9(c21)),c24),
inference(res,[status(thm),theory(equality)],[8,60]),
[iquote('0:Res:8.0,60.0')] ).
cnf(65,plain,
p11(f12(f9(c21)),c23),
inference(res,[status(thm),theory(equality)],[7,60]),
[iquote('0:Res:7.0,60.0')] ).
cnf(71,plain,
( ~ p11(f12(f9(c21)),u)
| p11(u,c24) ),
inference(res,[status(thm),theory(equality)],[64,15]),
[iquote('0:Res:64.0,15.0')] ).
cnf(85,plain,
p11(c23,c24),
inference(res,[status(thm),theory(equality)],[65,71]),
[iquote('0:Res:65.0,71.0')] ).
cnf(86,plain,
p11(c24,c23),
inference(res,[status(thm),theory(equality)],[85,60]),
[iquote('0:Res:85.0,60.0')] ).
cnf(185,plain,
( ~ p11(c24,u)
| ~ p16(c19,v)
| ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),w)
| p17(v,w,u) ),
inference(res,[status(thm),theory(equality)],[21,29]),
[iquote('0:Res:21.0,29.3')] ).
cnf(771,plain,
( ~ p11(c24,u)
| ~ p16(c19,v)
| p17(v,f4(f7(f10(c20),f8(f9(c21),c22))),u) ),
inference(res,[status(thm),theory(equality)],[4,185]),
[iquote('0:Res:4.0,185.2')] ).
cnf(1801,plain,
( ~ p11(c24,c23)
| ~ p16(c19,c19) ),
inference(res,[status(thm),theory(equality)],[771,22]),
[iquote('0:Res:771.2,22.0')] ).
cnf(1803,plain,
$false,
inference(mrr,[status(thm)],[1801,86,6]),
[iquote('0:MRR:1801.0,1801.1,86.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN613-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 06:17:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.51/0.72
% 0.51/0.72 SPASS V 3.9
% 0.51/0.72 SPASS beiseite: Proof found.
% 0.51/0.72 % SZS status Theorem
% 0.51/0.72 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.72 SPASS derived 1731 clauses, backtracked 0 clauses, performed 2 splits and kept 829 clauses.
% 0.51/0.72 SPASS allocated 64256 KBytes.
% 0.51/0.72 SPASS spent 0:00:00.37 on the problem.
% 0.51/0.72 0:00:00.04 for the input.
% 0.51/0.72 0:00:00.00 for the FLOTTER CNF translation.
% 0.51/0.72 0:00:00.03 for inferences.
% 0.51/0.72 0:00:00.00 for the backtracking.
% 0.51/0.72 0:00:00.27 for the reduction.
% 0.51/0.72
% 0.51/0.72
% 0.51/0.72 Here is a proof with depth 5, length 19 :
% 0.51/0.72 % SZS output start Refutation
% See solution above
% 0.51/0.72 Formulae used in the proof : p11_1 p3_4 p16_6 p11_7 p11_8 p11_15 p17_21 not_p17_22 p17_29
% 0.51/0.72
%------------------------------------------------------------------------------