TSTP Solution File: SYN352+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN352+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 12:20:40 EDT 2022
% Result : Theorem 0.18s 0.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 5 unt; 6 nHn; 14 RR)
% Number of literals : 28 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
big(skc3,skc2),
file('SYN352+1.p',unknown),
[] ).
cnf(2,axiom,
( big(u,v)
| big(skf1(v,u),skf1(v,u)) ),
file('SYN352+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ big(u,v)
| big(v,skf1(v,u))
| big(skc2,skf1(v,u)) ),
file('SYN352+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ big(u,v)
| big(v,skf1(v,u))
| big(u,skf1(v,u)) ),
file('SYN352+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ big(u,v)
| ~ big(v,skf1(v,u))
| ~ big(u,skf1(v,u)) ),
file('SYN352+1.p',unknown),
[] ).
cnf(8,plain,
( big(skc2,skf1(skc2,skc3))
| big(skc2,skf1(skc2,skc3)) ),
inference(res,[status(thm),theory(equality)],[1,3]),
[iquote('0:Res:1.0,3.0')] ).
cnf(10,plain,
big(skc2,skf1(skc2,skc3)),
inference(obv,[status(thm),theory(equality)],[8]),
[iquote('0:Obv:8.0')] ).
cnf(13,plain,
( big(u,v)
| big(skf1(v,u),skf1(skf1(v,u),skf1(v,u)))
| big(skf1(v,u),skf1(skf1(v,u),skf1(v,u))) ),
inference(res,[status(thm),theory(equality)],[2,4]),
[iquote('0:Res:2.1,4.0')] ).
cnf(15,plain,
( big(u,v)
| big(skf1(v,u),skf1(skf1(v,u),skf1(v,u))) ),
inference(obv,[status(thm),theory(equality)],[13]),
[iquote('0:Obv:13.1')] ).
cnf(20,plain,
( ~ big(skc3,skc2)
| ~ big(skc3,skf1(skc2,skc3)) ),
inference(res,[status(thm),theory(equality)],[10,5]),
[iquote('0:Res:10.0,5.1')] ).
cnf(21,plain,
( ~ big(skf1(u,v),skf1(u,v))
| ~ big(skf1(u,v),skf1(skf1(u,v),skf1(u,v)))
| big(v,u) ),
inference(res,[status(thm),theory(equality)],[15,5]),
[iquote('0:Res:15.1,5.1')] ).
cnf(23,plain,
~ big(skc3,skf1(skc2,skc3)),
inference(mrr,[status(thm)],[20,1]),
[iquote('0:MRR:20.0,1.0')] ).
cnf(24,plain,
big(u,v),
inference(mrr,[status(thm)],[21,2,15]),
[iquote('0:MRR:21.0,21.1,2.1,15.1')] ).
cnf(25,plain,
$false,
inference(unc,[status(thm)],[24,23]),
[iquote('0:UnC:24.0,23.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN352+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n004.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 16:44:37 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 13 clauses, backtracked 0 clauses, performed 0 splits and kept 17 clauses.
% 0.18/0.42 SPASS allocated 85077 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 0:00:00.02 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 2, length 14 :
% 0.18/0.42 % SZS output start Refutation
% See solution above
% 0.18/0.42 Formulae used in the proof : church_46_18_4
% 0.18/0.42
%------------------------------------------------------------------------------