TSTP Solution File: COL099-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COL099-1 : TPTP v8.1.0. Released v2.7.0.
% 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 : Fri Jul 15 00:42:38 EDT 2022
% Result : Unsatisfiable 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 6 unt; 0 nHn; 16 RR)
% Number of literals : 32 ( 0 equ; 21 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 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('COL099-1.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('COL099-1.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('COL099-1.p',unknown),
[] ).
cnf(12,axiom,
diamond(r),
file('COL099-1.p',unknown),
[] ).
cnf(13,axiom,
member(pair(y__dfg,ya),r),
file('COL099-1.p',unknown),
[] ).
cnf(14,axiom,
member(pair(y__dfg,yp),trancl(r)),
file('COL099-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ member(pair(yp,u),trancl(r))
| ~ member(pair(ya,u),trancl(r)) ),
file('COL099-1.p',unknown),
[] ).
cnf(17,plain,
( ~ diamond(r)
| ~ member(pair(y__dfg,u),r)
| member(pair(u,diamond_strip_lemmaD_sk1(y__dfg,yp,u,r)),trancl(r)) ),
inference(res,[status(thm),theory(equality)],[14,10]),
[iquote('0:Res:14.0,10.1')] ).
cnf(18,plain,
( ~ diamond(r)
| ~ member(pair(y__dfg,u),r)
| member(pair(yp,diamond_strip_lemmaD_sk1(y__dfg,yp,u,r)),r) ),
inference(res,[status(thm),theory(equality)],[14,11]),
[iquote('0:Res:14.0,11.1')] ).
cnf(25,plain,
( ~ member(pair(y__dfg,u),r)
| member(pair(yp,diamond_strip_lemmaD_sk1(y__dfg,yp,u,r)),r) ),
inference(mrr,[status(thm)],[18,12]),
[iquote('0:MRR:18.0,12.0')] ).
cnf(26,plain,
( ~ member(pair(y__dfg,u),r)
| member(pair(u,diamond_strip_lemmaD_sk1(y__dfg,yp,u,r)),trancl(r)) ),
inference(mrr,[status(thm)],[17,12]),
[iquote('0:MRR:17.0,12.0')] ).
cnf(31,plain,
( ~ member(pair(yp,u),r)
| ~ member(pair(ya,u),trancl(r)) ),
inference(res,[status(thm),theory(equality)],[7,15]),
[iquote('0:Res:7.1,15.0')] ).
cnf(111,plain,
( ~ member(pair(y__dfg,ya),r)
| ~ member(pair(yp,diamond_strip_lemmaD_sk1(y__dfg,yp,ya,r)),r) ),
inference(res,[status(thm),theory(equality)],[26,31]),
[iquote('0:Res:26.1,31.1')] ).
cnf(113,plain,
~ member(pair(yp,diamond_strip_lemmaD_sk1(y__dfg,yp,ya,r)),r),
inference(mrr,[status(thm)],[111,13]),
[iquote('0:MRR:111.0,13.0')] ).
cnf(115,plain,
~ member(pair(y__dfg,ya),r),
inference(res,[status(thm),theory(equality)],[25,113]),
[iquote('0:Res:25.1,113.0')] ).
cnf(117,plain,
$false,
inference(mrr,[status(thm)],[115,13]),
[iquote('0:MRR:115.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL099-1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n024.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 May 31 07:56:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.43
% 0.20/0.43 SPASS V 3.9
% 0.20/0.43 SPASS beiseite: Proof found.
% 0.20/0.43 % SZS status Theorem
% 0.20/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.43 SPASS derived 64 clauses, backtracked 0 clauses, performed 0 splits and kept 55 clauses.
% 0.20/0.43 SPASS allocated 75751 KBytes.
% 0.20/0.43 SPASS spent 0:00:00.07 on the problem.
% 0.20/0.43 0:00:00.04 for the input.
% 0.20/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.43 0:00:00.00 for inferences.
% 0.20/0.43 0:00:00.00 for the backtracking.
% 0.20/0.43 0:00:00.01 for the reduction.
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 Here is a proof with depth 3, length 16 :
% 0.20/0.43 % SZS output start Refutation
% See solution above
% 0.20/0.43 Formulae used in the proof : r_into_trancl diamond_strip_lemmaD1 diamond_strip_lemmaD2 diamond_trancl_1h1 diamond_trancl_1h2 diamond_trancl_1c1 diamond_trancl_1c2
% 0.20/0.43
%------------------------------------------------------------------------------