TSTP Solution File: SYN705-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN705-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 12:23:47 EDT 2022
% Result : Unsatisfiable 2.24s 2.40s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 8 unt; 0 nHn; 19 RR)
% Number of literals : 40 ( 0 equ; 24 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 17 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
p7(u,u),
file('SYN705-1.p',unknown),
[] ).
cnf(20,axiom,
p2(u,u),
file('SYN705-1.p',unknown),
[] ).
cnf(51,axiom,
~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
file('SYN705-1.p',unknown),
[] ).
cnf(53,axiom,
( ~ p4(u,v)
| ~ p7(w,x)
| ~ p47(u,w)
| p47(v,x) ),
file('SYN705-1.p',unknown),
[] ).
cnf(58,axiom,
( ~ p3(u,v)
| ~ p2(w,x)
| p4(f5(w,u),f5(x,v)) ),
file('SYN705-1.p',unknown),
[] ).
cnf(74,axiom,
( ~ p47(f5(c48,f13(f16(f18(c50,u),v),w)),x)
| p47(u,x) ),
file('SYN705-1.p',unknown),
[] ).
cnf(75,axiom,
( ~ p47(f20(f22(f24(f26(c56,u),v),w),x),y)
| p47(u,y) ),
file('SYN705-1.p',unknown),
[] ).
cnf(76,axiom,
( ~ p47(u,v)
| p47(f5(c48,f13(f16(f18(c50,u),w),x)),v) ),
file('SYN705-1.p',unknown),
[] ).
cnf(77,axiom,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
file('SYN705-1.p',unknown),
[] ).
cnf(80,axiom,
p3(f8(f10(c49,f13(f16(f18(c50,u),v),w)),x),f13(f16(f18(c50,f20(f22(f24(f26(c56,u),v),w),x)),f30(f32(f34(f36(c57,u),v),w),x)),f40(f42(f44(f46(c58,u),v),w),x))),
file('SYN705-1.p',unknown),
[] ).
cnf(131,plain,
~ p47(c51,c55),
inference(res,[status(thm),theory(equality)],[76,51]),
[iquote('0:Res:76.1,51.0')] ).
cnf(174,plain,
( ~ p3(u,v)
| ~ p2(w,x)
| ~ p7(y,z)
| ~ p47(f5(w,u),y)
| p47(f5(x,v),z) ),
inference(res,[status(thm),theory(equality)],[58,53]),
[iquote('0:Res:58.2,53.0')] ).
cnf(306,plain,
( ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),u)
| ~ p2(c48,v)
| ~ p7(c55,w)
| p47(f5(v,u),w) ),
inference(res,[status(thm),theory(equality)],[77,174]),
[iquote('0:Res:77.0,174.3')] ).
cnf(598,plain,
( ~ p2(c48,u)
| ~ p7(c55,v)
| p47(f5(u,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),v) ),
inference(res,[status(thm),theory(equality)],[80,306]),
[iquote('0:Res:80.0,306.0')] ).
cnf(2650,plain,
( ~ p2(c48,c48)
| ~ p7(c55,u)
| p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),u) ),
inference(res,[status(thm),theory(equality)],[598,74]),
[iquote('0:Res:598.2,74.0')] ).
cnf(2655,plain,
( ~ p7(c55,u)
| p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),u) ),
inference(mrr,[status(thm)],[2650,20]),
[iquote('0:MRR:2650.0,20.0')] ).
cnf(2662,plain,
( ~ p7(c55,u)
| p47(c51,u) ),
inference(res,[status(thm),theory(equality)],[2655,75]),
[iquote('0:Res:2655.1,75.0')] ).
cnf(2671,plain,
~ p7(c55,c55),
inference(res,[status(thm),theory(equality)],[2662,131]),
[iquote('0:Res:2662.1,131.0')] ).
cnf(2674,plain,
$false,
inference(mrr,[status(thm)],[2671,3]),
[iquote('0:MRR:2671.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN705-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jul 12 01:03:44 EDT 2022
% 0.14/0.35 % CPUTime :
% 2.24/2.40
% 2.24/2.40 SPASS V 3.9
% 2.24/2.40 SPASS beiseite: Proof found.
% 2.24/2.40 % SZS status Theorem
% 2.24/2.40 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.24/2.40 SPASS derived 2586 clauses, backtracked 0 clauses, performed 0 splits and kept 2142 clauses.
% 2.24/2.40 SPASS allocated 67594 KBytes.
% 2.24/2.40 SPASS spent 0:00:02.01 on the problem.
% 2.24/2.40 0:00:00.04 for the input.
% 2.24/2.40 0:00:00.00 for the FLOTTER CNF translation.
% 2.24/2.40 0:00:00.08 for inferences.
% 2.24/2.40 0:00:00.00 for the backtracking.
% 2.24/2.40 0:00:01.82 for the reduction.
% 2.24/2.40
% 2.24/2.40
% 2.24/2.40 Here is a proof with depth 6, length 19 :
% 2.24/2.40 % SZS output start Refutation
% See solution above
% 2.24/2.40 Formulae used in the proof : p7_3 p2_20 not_p47_51 p47_53 p4_58 p47_74 p47_75 p47_76 p47_77 p3_80
% 2.24/2.40
%------------------------------------------------------------------------------