TSTP Solution File: SYN326+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN326+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 12:20:19 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 8 RR)
% Number of literals : 11 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( big_g(skf3(u))
| big(u,u) ),
file('SYN326+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ big_h(u)
| big(u,u) ),
file('SYN326+1.p',unknown),
[] ).
cnf(4,axiom,
~ big(skf2(u),skf2(u)),
file('SYN326+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ big_g(u)
| big_h(skf2(u)) ),
file('SYN326+1.p',unknown),
[] ).
cnf(11,plain,
~ big_h(skf2(u)),
inference(res,[status(thm),theory(equality)],[3,4]),
[iquote('0:Res:3.1,4.0')] ).
cnf(12,plain,
~ big_g(u),
inference(mrr,[status(thm)],[5,11]),
[iquote('0:MRR:5.1,11.0')] ).
cnf(14,plain,
big(u,u),
inference(mrr,[status(thm)],[2,12]),
[iquote('0:MRR:2.0,12.0')] ).
cnf(15,plain,
$false,
inference(unc,[status(thm)],[14,4]),
[iquote('0:UnC:14.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN326+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 08:53:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 11 clauses.
% 0.19/0.45 SPASS allocated 97560 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.45 0:00:00.05 for the input.
% 0.19/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.00 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 1, length 8 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : church_46_12_1
% 0.19/0.45
%------------------------------------------------------------------------------