TSTP Solution File: SYN078+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 12:18:25 EDT 2022
% Result : Theorem 0.18s 0.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 18 ( 9 unt; 1 nHn; 18 RR)
% Number of literals : 31 ( 0 equ; 13 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
big_p(skc5),
file('SYN078+1.p',unknown),
[] ).
cnf(2,axiom,
big_p(skc4),
file('SYN078+1.p',unknown),
[] ).
cnf(3,axiom,
~ big_p(skc3),
file('SYN078+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ big_p(f(skc5))
| equal(f(skc4),skc3) ),
file('SYN078+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ big_p(u)
| ~ big_p(v)
| ~ equal(w,f(v))
| big_p(w)
| big_p(f(u)) ),
file('SYN078+1.p',unknown),
[] ).
cnf(6,plain,
( ~ big_p(u)
| ~ equal(v,f(u))
| big_p(v) ),
inference(spt,[spt(split,[position(s1)])],[5]),
[iquote('1:Spt:5.1,5.2,5.3')] ).
cnf(7,plain,
( ~ big_p(u)
| big_p(f(u)) ),
inference(eqr,[status(thm),theory(equality)],[6]),
[iquote('1:EqR:6.1')] ).
cnf(8,plain,
( ~ big_p(skc5)
| equal(f(skc4),skc3) ),
inference(res,[status(thm),theory(equality)],[7,4]),
[iquote('1:Res:7.1,4.0')] ).
cnf(9,plain,
equal(f(skc4),skc3),
inference(ssi,[status(thm)],[8,1]),
[iquote('1:SSi:8.0,1.0')] ).
cnf(10,plain,
( ~ big_p(skc4)
| big_p(skc3) ),
inference(spr,[status(thm),theory(equality)],[9,7]),
[iquote('1:SpR:9.0,7.1')] ).
cnf(13,plain,
big_p(skc3),
inference(ssi,[status(thm)],[10,2]),
[iquote('1:SSi:10.0,2.0')] ).
cnf(14,plain,
$false,
inference(mrr,[status(thm)],[13,3]),
[iquote('1:MRR:13.0,3.0')] ).
cnf(16,plain,
( ~ big_p(u)
| big_p(f(u)) ),
inference(spt,[spt(split,[position(s2)])],[5]),
[iquote('1:Spt:14.0,5.0,5.4')] ).
cnf(17,plain,
( ~ big_p(skc5)
| equal(f(skc4),skc3) ),
inference(res,[status(thm),theory(equality)],[16,4]),
[iquote('1:Res:16.1,4.0')] ).
cnf(18,plain,
equal(f(skc4),skc3),
inference(ssi,[status(thm)],[17,1]),
[iquote('1:SSi:17.0,1.0')] ).
cnf(19,plain,
( ~ big_p(skc4)
| big_p(skc3) ),
inference(spr,[status(thm),theory(equality)],[18,16]),
[iquote('1:SpR:18.0,16.1')] ).
cnf(21,plain,
big_p(skc3),
inference(ssi,[status(thm)],[19,2]),
[iquote('1:SSi:19.0,2.0')] ).
cnf(22,plain,
$false,
inference(mrr,[status(thm)],[21,3]),
[iquote('1:MRR:21.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.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 12:21:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.42
% 0.18/0.42 SPASS V 3.9
% 0.18/0.42 SPASS beiseite: Proof found.
% 0.18/0.42 % SZS status Theorem
% 0.18/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.42 SPASS derived 9 clauses, backtracked 2 clauses, performed 1 splits and kept 14 clauses.
% 0.18/0.42 SPASS allocated 97568 KBytes.
% 0.18/0.42 SPASS spent 0:00:00.08 on the problem.
% 0.18/0.42 0:00:00.03 for the input.
% 0.18/0.42 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.42 0:00:00.00 for inferences.
% 0.18/0.42 0:00:00.00 for the backtracking.
% 0.18/0.42 0:00:00.00 for the reduction.
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 Here is a proof with depth 4, length 18 :
% 0.18/0.42 % SZS output start Refutation
% See solution above
% 0.18/0.42 Formulae used in the proof : pel56
% 0.18/0.42
%------------------------------------------------------------------------------