TSTP Solution File: SYN619-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN619-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 12:23:15 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 6 unt; 7 nHn; 19 RR)
% Number of literals : 43 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
p2(u,u),
file('SYN619-1.p',unknown),
[] ).
cnf(6,axiom,
p17(u,u),
file('SYN619-1.p',unknown),
[] ).
cnf(7,axiom,
p18(c24,f6(c25)),
file('SYN619-1.p',unknown),
[] ).
cnf(8,axiom,
~ p18(c24,f6(f7(c22,c23))),
file('SYN619-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ p17(f3(u),v)
| p17(u,v) ),
file('SYN619-1.p',unknown),
[] ).
cnf(24,axiom,
( ~ p18(u,f6(c25))
| p18(u,f6(c19))
| p2(f14(u),c20) ),
file('SYN619-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ p18(u,f6(c25))
| p18(u,f6(c19))
| p17(f3(c21),f15(u)) ),
file('SYN619-1.p',unknown),
[] ).
cnf(32,axiom,
( ~ p2(u,c20)
| ~ p17(c21,v)
| ~ p8(c24,f9(f13(u,v),w)) ),
file('SYN619-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ p18(u,f6(c25))
| p18(u,f6(c19))
| p8(u,f9(f13(f14(u),f15(u)),f16(u))) ),
file('SYN619-1.p',unknown),
[] ).
cnf(34,axiom,
( ~ p18(u,f6(c19))
| p18(u,f6(f7(c22,c23)))
| p8(u,f9(f13(c20,c21),f11(f12(f7(c22,c23))))) ),
file('SYN619-1.p',unknown),
[] ).
cnf(85,plain,
( p18(c24,f6(c19))
| p2(f14(c24),c20) ),
inference(res,[status(thm),theory(equality)],[7,24]),
[iquote('0:Res:7.0,24.0')] ).
cnf(93,plain,
( ~ p18(u,f6(c25))
| p18(u,f6(c19))
| p17(c21,f15(u)) ),
inference(res,[status(thm),theory(equality)],[27,9]),
[iquote('0:Res:27.2,9.0')] ).
cnf(198,plain,
( ~ p18(c24,f6(c25))
| ~ p2(f14(c24),c20)
| ~ p17(c21,f15(c24))
| p18(c24,f6(c19)) ),
inference(res,[status(thm),theory(equality)],[33,32]),
[iquote('0:Res:33.2,32.2')] ).
cnf(199,plain,
( ~ p17(c21,f15(c24))
| p18(c24,f6(c19)) ),
inference(mrr,[status(thm)],[198,7,85]),
[iquote('0:MRR:198.0,198.1,7.0,85.1')] ).
cnf(200,plain,
( ~ p18(c24,f6(c25))
| p18(c24,f6(c19))
| p18(c24,f6(c19)) ),
inference(res,[status(thm),theory(equality)],[93,199]),
[iquote('0:Res:93.2,199.0')] ).
cnf(202,plain,
( ~ p18(c24,f6(c25))
| p18(c24,f6(c19)) ),
inference(obv,[status(thm),theory(equality)],[200]),
[iquote('0:Obv:200.1')] ).
cnf(203,plain,
p18(c24,f6(c19)),
inference(mrr,[status(thm)],[202,7]),
[iquote('0:MRR:202.0,7.0')] ).
cnf(212,plain,
( ~ p18(c24,f6(c19))
| ~ p2(c20,c20)
| ~ p17(c21,c21)
| p18(c24,f6(f7(c22,c23))) ),
inference(res,[status(thm),theory(equality)],[34,32]),
[iquote('0:Res:34.2,32.2')] ).
cnf(213,plain,
$false,
inference(mrr,[status(thm)],[212,203,5,6,8]),
[iquote('0:MRR:212.0,212.1,212.2,212.3,203.0,5.0,6.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN619-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n014.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 : Tue Jul 12 06:40:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 175 clauses, backtracked 0 clauses, performed 0 splits and kept 170 clauses.
% 0.19/0.43 SPASS allocated 63306 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.08 on the problem.
% 0.19/0.43 0:00:00.03 for the input.
% 0.19/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.02 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 2, length 19 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : p2_5 p17_6 p18_7 not_p18_8 p17_9 p18_24 p18_27 not_p2_32 p18_33 p18_34
% 0.19/0.43
%------------------------------------------------------------------------------