TSTP Solution File: SYN328+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 12:20:21 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 4 unt; 6 nHn; 19 RR)
% Number of literals : 38 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( big(u)
| big(skf1(u)) ),
file('SYN328+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ big_g(skf1(u))
| big(u) ),
file('SYN328+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ big_h(skf1(u))
| big_g(u) ),
file('SYN328+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ big_h(skf1(u))
| big_h(u) ),
file('SYN328+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ big_h(skc5)
| ~ big_g(skc4)
| ~ big(skc3) ),
file('SYN328+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ big(skf1(u))
| big_h(u)
| big_g(skf1(u)) ),
file('SYN328+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ big_g(u)
| ~ big(skf1(u))
| big_h(skf1(u)) ),
file('SYN328+1.p',unknown),
[] ).
cnf(28,plain,
( ~ big(skf1(u))
| big_h(u)
| big(u) ),
inference(res,[status(thm),theory(equality)],[7,3]),
[iquote('0:Res:7.2,3.0')] ).
cnf(29,plain,
( big_h(u)
| big(u) ),
inference(mrr,[status(thm)],[28,1]),
[iquote('0:MRR:28.0,1.1')] ).
cnf(30,plain,
( ~ big_g(u)
| big_h(skf1(u)) ),
inference(mrr,[status(thm)],[10,29]),
[iquote('0:MRR:10.1,29.1')] ).
cnf(31,plain,
( big(skf1(u))
| big_h(u) ),
inference(res,[status(thm),theory(equality)],[29,5]),
[iquote('0:Res:29.0,5.0')] ).
cnf(34,plain,
( big_h(u)
| big_g(skf1(u)) ),
inference(mrr,[status(thm)],[7,31]),
[iquote('0:MRR:7.0,31.0')] ).
cnf(36,plain,
( ~ big_g(u)
| big_h(u) ),
inference(res,[status(thm),theory(equality)],[30,5]),
[iquote('0:Res:30.1,5.0')] ).
cnf(38,plain,
( ~ big_g(skf1(u))
| big_h(u) ),
inference(res,[status(thm),theory(equality)],[36,5]),
[iquote('0:Res:36.1,5.0')] ).
cnf(41,plain,
big_h(u),
inference(mrr,[status(thm)],[38,34]),
[iquote('0:MRR:38.0,34.1')] ).
cnf(42,plain,
big_g(u),
inference(mrr,[status(thm)],[4,41]),
[iquote('0:MRR:4.0,41.0')] ).
cnf(43,plain,
( ~ big_g(skc4)
| ~ big(skc3) ),
inference(mrr,[status(thm)],[6,41]),
[iquote('0:MRR:6.0,41.0')] ).
cnf(44,plain,
big(u),
inference(mrr,[status(thm)],[3,42]),
[iquote('0:MRR:3.0,42.0')] ).
cnf(46,plain,
$false,
inference(mrr,[status(thm)],[43,42,44]),
[iquote('0:MRR:43.0,43.1,42.0,44.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n015.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 Jul 12 06:35:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.42
% 0.19/0.42 SPASS V 3.9
% 0.19/0.42 SPASS beiseite: Proof found.
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 SPASS derived 18 clauses, backtracked 0 clauses, performed 0 splits and kept 22 clauses.
% 0.19/0.42 SPASS allocated 97572 KBytes.
% 0.19/0.42 SPASS spent 0:00:00.08 on the problem.
% 0.19/0.42 0:00:00.04 for the input.
% 0.19/0.42 0:00:00.02 for the FLOTTER CNF translation.
% 0.19/0.42 0:00:00.00 for inferences.
% 0.19/0.42 0:00:00.00 for the backtracking.
% 0.19/0.42 0:00:00.00 for the reduction.
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Here is a proof with depth 2, length 19 :
% 0.19/0.42 % SZS output start Refutation
% See solution above
% 0.19/0.42 Formulae used in the proof : church_46_12_3
% 0.19/0.42
%------------------------------------------------------------------------------