TSTP Solution File: COL100-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COL100-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 : Fri Jul 15 00:42:38 EDT 2022
% Result : Unsatisfiable 115.63s 115.85s
% Output : Refutation 115.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 24 ( 8 unt; 0 nHn; 24 RR)
% Number of literals : 57 ( 0 equ; 39 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( ~ member(pair(u,v),w)
| member(pair(u,v),trancl(w)) ),
file('COL100-1.p',unknown),
[] ).
cnf(8,axiom,
trans(trancl(u)),
file('COL100-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ trans(u)
| ~ member(pair(v,w),u)
| ~ member(pair(x,v),u)
| member(pair(x,w),u) ),
file('COL100-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ diamond(u)
| ~ member(pair(v,w),u)
| ~ member(pair(v,x),trancl(u))
| member(pair(w,diamond_strip_lemmaD_sk1(v,x,w,u)),trancl(u)) ),
file('COL100-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ diamond(u)
| ~ member(pair(v,w),u)
| ~ member(pair(v,x),trancl(u))
| member(pair(x,diamond_strip_lemmaD_sk1(v,x,w,u)),u) ),
file('COL100-1.p',unknown),
[] ).
cnf(12,axiom,
diamond(r),
file('COL100-1.p',unknown),
[] ).
cnf(14,axiom,
member(pair(ya,z__dfg),r),
file('COL100-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ member(pair(y__dfg,u),trancl(r))
| member(pair(ya,sk1(u)),trancl(r)) ),
file('COL100-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ member(pair(y__dfg,u),trancl(r))
| member(pair(u,sk1(u)),trancl(r)) ),
file('COL100-1.p',unknown),
[] ).
cnf(17,axiom,
member(pair(y__dfg,yp),trancl(r)),
file('COL100-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ member(pair(yp,u),trancl(r))
| ~ member(pair(z__dfg,u),trancl(r)) ),
file('COL100-1.p',unknown),
[] ).
cnf(19,plain,
member(pair(ya,sk1(yp)),trancl(r)),
inference(res,[status(thm),theory(equality)],[17,15]),
[iquote('0:Res:17.0,15.0')] ).
cnf(20,plain,
member(pair(yp,sk1(yp)),trancl(r)),
inference(res,[status(thm),theory(equality)],[17,16]),
[iquote('0:Res:17.0,16.0')] ).
cnf(109,plain,
( ~ trans(trancl(u))
| ~ member(pair(v,w),u)
| ~ member(pair(x,v),trancl(u))
| member(pair(x,w),trancl(u)) ),
inference(res,[status(thm),theory(equality)],[7,9]),
[iquote('0:Res:7.1,9.1')] ).
cnf(114,plain,
( ~ member(pair(u,v),w)
| ~ member(pair(x,u),trancl(w))
| member(pair(x,v),trancl(w)) ),
inference(ssi,[status(thm)],[109,8]),
[iquote('0:SSi:109.0,8.0')] ).
cnf(169,plain,
( ~ member(pair(sk1(yp),u),r)
| member(pair(yp,u),trancl(r)) ),
inference(res,[status(thm),theory(equality)],[20,114]),
[iquote('0:Res:20.0,114.1')] ).
cnf(185,plain,
( ~ diamond(r)
| ~ member(pair(u,v),r)
| ~ member(pair(u,sk1(yp)),trancl(r))
| member(pair(yp,diamond_strip_lemmaD_sk1(u,sk1(yp),v,r)),trancl(r)) ),
inference(res,[status(thm),theory(equality)],[11,169]),
[iquote('0:Res:11.3,169.0')] ).
cnf(186,plain,
( ~ member(pair(u,v),r)
| ~ member(pair(u,sk1(yp)),trancl(r))
| member(pair(yp,diamond_strip_lemmaD_sk1(u,sk1(yp),v,r)),trancl(r)) ),
inference(ssi,[status(thm)],[185,12]),
[iquote('0:SSi:185.0,12.0')] ).
cnf(4215,plain,
( ~ member(pair(u,v),r)
| ~ member(pair(u,sk1(yp)),trancl(r))
| ~ member(pair(z__dfg,diamond_strip_lemmaD_sk1(u,sk1(yp),v,r)),trancl(r)) ),
inference(res,[status(thm),theory(equality)],[186,18]),
[iquote('0:Res:186.2,18.0')] ).
cnf(36217,plain,
( ~ diamond(r)
| ~ member(pair(u,z__dfg),r)
| ~ member(pair(u,sk1(yp)),trancl(r))
| ~ member(pair(u,z__dfg),r)
| ~ member(pair(u,sk1(yp)),trancl(r)) ),
inference(res,[status(thm),theory(equality)],[10,4215]),
[iquote('0:Res:10.3,4215.2')] ).
cnf(36231,plain,
( ~ diamond(r)
| ~ member(pair(u,z__dfg),r)
| ~ member(pair(u,sk1(yp)),trancl(r)) ),
inference(obv,[status(thm),theory(equality)],[36217]),
[iquote('0:Obv:36217.2')] ).
cnf(36232,plain,
( ~ member(pair(u,z__dfg),r)
| ~ member(pair(u,sk1(yp)),trancl(r)) ),
inference(ssi,[status(thm)],[36231,12]),
[iquote('0:SSi:36231.0,12.0')] ).
cnf(36240,plain,
~ member(pair(ya,z__dfg),r),
inference(res,[status(thm),theory(equality)],[19,36232]),
[iquote('0:Res:19.0,36232.1')] ).
cnf(36269,plain,
$false,
inference(mrr,[status(thm)],[36240,14]),
[iquote('0:MRR:36240.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL100-1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n019.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 May 31 06:33:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 115.63/115.85
% 115.63/115.85 SPASS V 3.9
% 115.63/115.85 SPASS beiseite: Proof found.
% 115.63/115.85 % SZS status Theorem
% 115.63/115.85 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 115.63/115.85 SPASS derived 30535 clauses, backtracked 0 clauses, performed 0 splits and kept 17647 clauses.
% 115.63/115.85 SPASS allocated 106815 KBytes.
% 115.63/115.85 SPASS spent 0:1:54.55 on the problem.
% 115.63/115.85 0:00:00.03 for the input.
% 115.63/115.85 0:00:00.00 for the FLOTTER CNF translation.
% 115.63/115.85 0:00:00.85 for inferences.
% 115.63/115.85 0:00:00.00 for the backtracking.
% 115.63/115.85 0:1:53.30 for the reduction.
% 115.63/115.85
% 115.63/115.85
% 115.63/115.85 Here is a proof with depth 6, length 24 :
% 115.63/115.85 % SZS output start Refutation
% See solution above
% 115.63/115.85 Formulae used in the proof : r_into_trancl trans_trancl transD diamond_strip_lemmaD1 diamond_strip_lemmaD2 diamond_trancl_2h1 diamond_trancl_2h3 diamond_trancl_2h4 diamond_trancl_2h5 diamond_trancl_2c1 diamond_trancl_2c2
% 115.63/115.85
%------------------------------------------------------------------------------