TSTP Solution File: COL098-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COL098-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 1.86s 2.03s
% Output : Refutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 7 unt; 0 nHn; 21 RR)
% Number of literals : 46 ( 0 equ; 30 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( ~ member(pair(u,v),w)
| member(pair(u,v),trancl(w)) ),
file('COL098-1.p',unknown),
[] ).
cnf(8,axiom,
trans(trancl(u)),
file('COL098-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ trans(u)
| ~ member(pair(v,w),u)
| ~ member(pair(x,v),u)
| member(pair(x,w),u) ),
file('COL098-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ member(pair(u,v),r)
| ~ member(pair(u,w),r)
| member(pair(w,sk1(u,w,v)),r) ),
file('COL098-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ member(pair(u,v),r)
| ~ member(pair(u,w),r)
| member(pair(v,sk1(u,w,v)),r) ),
file('COL098-1.p',unknown),
[] ).
cnf(13,axiom,
member(pair(y__dfg,z__dfg),r),
file('COL098-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ member(pair(x__dfg,u),r)
| member(pair(u,sk2(u)),trancl(r)) ),
file('COL098-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ member(pair(x__dfg,u),r)
| member(pair(y__dfg,sk2(u)),r) ),
file('COL098-1.p',unknown),
[] ).
cnf(16,axiom,
member(pair(x__dfg,sk3),r),
file('COL098-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ member(pair(z__dfg,u),r)
| ~ member(pair(sk3,u),trancl(r)) ),
file('COL098-1.p',unknown),
[] ).
cnf(18,plain,
member(pair(sk3,sk2(sk3)),trancl(r)),
inference(res,[status(thm),theory(equality)],[16,14]),
[iquote('0:Res:16.0,14.0')] ).
cnf(19,plain,
member(pair(y__dfg,sk2(sk3)),r),
inference(res,[status(thm),theory(equality)],[16,15]),
[iquote('0:Res:16.0,15.0')] ).
cnf(150,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(154,plain,
( ~ member(pair(u,v),w)
| ~ member(pair(x,u),trancl(w))
| member(pair(x,v),trancl(w)) ),
inference(ssi,[status(thm)],[150,8]),
[iquote('0:SSi:150.0,8.0')] ).
cnf(169,plain,
( ~ member(pair(sk2(sk3),u),r)
| member(pair(sk3,u),trancl(r)) ),
inference(res,[status(thm),theory(equality)],[18,154]),
[iquote('0:Res:18.0,154.1')] ).
cnf(182,plain,
( ~ member(pair(u,v),r)
| ~ member(pair(u,sk2(sk3)),r)
| member(pair(sk3,sk1(u,sk2(sk3),v)),trancl(r)) ),
inference(res,[status(thm),theory(equality)],[10,169]),
[iquote('0:Res:10.2,169.0')] ).
cnf(1470,plain,
( ~ member(pair(u,v),r)
| ~ member(pair(u,sk2(sk3)),r)
| ~ member(pair(z__dfg,sk1(u,sk2(sk3),v)),r) ),
inference(res,[status(thm),theory(equality)],[182,17]),
[iquote('0:Res:182.2,17.1')] ).
cnf(4624,plain,
( ~ member(pair(u,z__dfg),r)
| ~ member(pair(u,sk2(sk3)),r)
| ~ member(pair(u,z__dfg),r)
| ~ member(pair(u,sk2(sk3)),r) ),
inference(res,[status(thm),theory(equality)],[11,1470]),
[iquote('0:Res:11.2,1470.2')] ).
cnf(4625,plain,
( ~ member(pair(u,z__dfg),r)
| ~ member(pair(u,sk2(sk3)),r) ),
inference(obv,[status(thm),theory(equality)],[4624]),
[iquote('0:Obv:4624.1')] ).
cnf(4626,plain,
~ member(pair(y__dfg,z__dfg),r),
inference(res,[status(thm),theory(equality)],[19,4625]),
[iquote('0:Res:19.0,4625.1')] ).
cnf(4628,plain,
$false,
inference(mrr,[status(thm)],[4626,13]),
[iquote('0:MRR:4626.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COL098-1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.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 May 31 10:13:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.86/2.03
% 1.86/2.03 SPASS V 3.9
% 1.86/2.03 SPASS beiseite: Proof found.
% 1.86/2.03 % SZS status Theorem
% 1.86/2.03 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.86/2.03 SPASS derived 4238 clauses, backtracked 0 clauses, performed 0 splits and kept 2536 clauses.
% 1.86/2.03 SPASS allocated 79033 KBytes.
% 1.86/2.03 SPASS spent 0:00:01.67 on the problem.
% 1.86/2.03 0:00:00.04 for the input.
% 1.86/2.03 0:00:00.00 for the FLOTTER CNF translation.
% 1.86/2.03 0:00:00.08 for inferences.
% 1.86/2.03 0:00:00.00 for the backtracking.
% 1.86/2.03 0:00:01.52 for the reduction.
% 1.86/2.03
% 1.86/2.03
% 1.86/2.03 Here is a proof with depth 6, length 21 :
% 1.86/2.03 % SZS output start Refutation
% See solution above
% 1.86/2.03 Formulae used in the proof : r_into_trancl trans_trancl transD diamond_strip_lemmaD_2h1 diamond_strip_lemmaD_2h2 diamond_strip_lemmaD_2h4 diamond_strip_lemmaD_2h5 diamond_strip_lemmaD_2h6 diamond_strip_lemmaD_2c1 diamond_strip_lemmaD_2c2
% 1.86/2.03
%------------------------------------------------------------------------------