TSTP Solution File: SYN641-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN641-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 12:23:23 EDT 2022
% Result : Unsatisfiable 7.52s 7.74s
% Output : Refutation 7.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 7 unt; 0 nHn; 16 RR)
% Number of literals : 36 ( 0 equ; 23 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p15(f3(c19)),
file('SYN641-1.p',unknown),
[] ).
cnf(2,axiom,
p15(f3(c18)),
file('SYN641-1.p',unknown),
[] ).
cnf(4,axiom,
p6(u,u),
file('SYN641-1.p',unknown),
[] ).
cnf(12,axiom,
p6(f7(f3(c18)),f7(c18)),
file('SYN641-1.p',unknown),
[] ).
cnf(13,axiom,
p6(f7(f3(c19)),f7(c19)),
file('SYN641-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ p6(u,v)
| ~ p6(u,w)
| p6(w,v) ),
file('SYN641-1.p',unknown),
[] ).
cnf(28,axiom,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
file('SYN641-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ p6(u,v)
| ~ p6(w,x)
| p6(f9(u,w),f9(v,x)) ),
file('SYN641-1.p',unknown),
[] ).
cnf(38,axiom,
( ~ p15(u)
| ~ p15(v)
| p6(f7(f10(v,u)),f9(f7(v),f7(u))) ),
file('SYN641-1.p',unknown),
[] ).
cnf(104,plain,
( ~ p6(u,v)
| p6(v,u) ),
inference(res,[status(thm),theory(equality)],[4,23]),
[iquote('0:Res:4.0,23.0')] ).
cnf(238,plain,
( ~ p6(u,v)
| ~ p6(w,x)
| ~ p6(f9(u,w),y)
| p6(y,f9(v,x)) ),
inference(res,[status(thm),theory(equality)],[33,23]),
[iquote('0:Res:33.2,23.0')] ).
cnf(265,plain,
( ~ p15(u)
| ~ p15(v)
| p6(f9(f7(v),f7(u)),f7(f10(v,u))) ),
inference(res,[status(thm),theory(equality)],[38,104]),
[iquote('0:Res:38.2,104.0')] ).
cnf(916,plain,
( ~ p15(u)
| ~ p15(v)
| ~ p6(f7(v),w)
| ~ p6(f7(u),x)
| p6(f7(f10(v,u)),f9(w,x)) ),
inference(res,[status(thm),theory(equality)],[265,238]),
[iquote('0:Res:265.2,238.2')] ).
cnf(11829,plain,
( ~ p15(f3(c18))
| ~ p15(f3(c19))
| ~ p6(f7(f3(c19)),f7(c19))
| ~ p6(f7(f3(c18)),f7(c18)) ),
inference(res,[status(thm),theory(equality)],[916,28]),
[iquote('0:Res:916.4,28.0')] ).
cnf(11838,plain,
( ~ p6(f7(f3(c19)),f7(c19))
| ~ p6(f7(f3(c18)),f7(c18)) ),
inference(ssi,[status(thm)],[11829,1,2]),
[iquote('0:SSi:11829.1,11829.0,1.0,2.0')] ).
cnf(11839,plain,
$false,
inference(mrr,[status(thm)],[11838,13,12]),
[iquote('0:MRR:11838.0,11838.1,13.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN641-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n024.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 : Mon Jul 11 17:54:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.52/7.74
% 7.52/7.74 SPASS V 3.9
% 7.52/7.74 SPASS beiseite: Proof found.
% 7.52/7.74 % SZS status Theorem
% 7.52/7.74 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.52/7.74 SPASS derived 11493 clauses, backtracked 0 clauses, performed 0 splits and kept 5870 clauses.
% 7.52/7.74 SPASS allocated 83364 KBytes.
% 7.52/7.74 SPASS spent 0:00:07.33 on the problem.
% 7.52/7.74 0:00:00.03 for the input.
% 7.52/7.74 0:00:00.00 for the FLOTTER CNF translation.
% 7.52/7.74 0:00:00.13 for inferences.
% 7.52/7.74 0:00:00.00 for the backtracking.
% 7.52/7.74 0:00:07.06 for the reduction.
% 7.52/7.74
% 7.52/7.74
% 7.52/7.74 Here is a proof with depth 4, length 16 :
% 7.52/7.74 % SZS output start Refutation
% See solution above
% 7.52/7.74 Formulae used in the proof : f3_is_p15_1 f3_is_p15_2 p6_4 p6_12 p6_13 p6_23 not_p6_28 p6_33 p6_38
% 7.52/7.74
%------------------------------------------------------------------------------