TSTP Solution File: SYN986+1.002 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN986+1.002 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 12:32:31 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of clauses : 12 ( 3 unt; 0 nHn; 12 RR)
% Number of literals : 25 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
r(u,zero,succ(u)),
file('SYN986+1.002.p',unknown),
[] ).
cnf(2,axiom,
( ~ r(zero,u,v)
| ~ r(zero,v,w)
| ~ r(zero,zero,u) ),
file('SYN986+1.002.p',unknown),
[] ).
cnf(3,axiom,
( ~ r(u,v,w)
| ~ r(x,v,u)
| r(x,succ(v),w) ),
file('SYN986+1.002.p',unknown),
[] ).
cnf(5,plain,
( ~ r(zero,u,v)
| ~ r(zero,succ(zero),u) ),
inference(res,[status(thm),theory(equality)],[1,2]),
[iquote('0:Res:1.0,2.1')] ).
cnf(8,plain,
( ~ r(u,zero,v)
| r(u,succ(zero),succ(v)) ),
inference(res,[status(thm),theory(equality)],[1,3]),
[iquote('0:Res:1.0,3.0')] ).
cnf(9,plain,
( ~ r(u,zero,v)
| ~ r(w,succ(zero),u)
| r(w,succ(succ(zero)),succ(v)) ),
inference(res,[status(thm),theory(equality)],[8,3]),
[iquote('0:Res:8.1,3.0')] ).
cnf(11,plain,
( ~ r(zero,zero,u)
| ~ r(zero,succ(u),v) ),
inference(res,[status(thm),theory(equality)],[8,5]),
[iquote('0:Res:8.1,5.1')] ).
cnf(16,plain,
( ~ r(u,zero,v)
| ~ r(succ(v),zero,w)
| r(u,succ(succ(zero)),succ(w)) ),
inference(res,[status(thm),theory(equality)],[8,9]),
[iquote('0:Res:8.1,9.1')] ).
cnf(17,plain,
( ~ r(u,zero,v)
| r(u,succ(succ(zero)),succ(succ(succ(v)))) ),
inference(res,[status(thm),theory(equality)],[1,16]),
[iquote('0:Res:1.0,16.1')] ).
cnf(20,plain,
( ~ r(zero,zero,u)
| ~ r(zero,zero,succ(zero)) ),
inference(res,[status(thm),theory(equality)],[17,11]),
[iquote('0:Res:17.1,11.1')] ).
cnf(21,plain,
~ r(zero,zero,succ(zero)),
inference(con,[status(thm)],[20]),
[iquote('0:Con:20.0')] ).
cnf(22,plain,
$false,
inference(mrr,[status(thm)],[21,1]),
[iquote('0:MRR:21.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN986+1.002 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n010.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 04:54:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 15 clauses, backtracked 0 clauses, performed 0 splits and kept 15 clauses.
% 0.19/0.43 SPASS allocated 85070 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.08 on the problem.
% 0.19/0.43 0:00:00.03 for the input.
% 0.19/0.43 0:00:00.02 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.00 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 5, length 12 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : hyp1 ck hyp2
% 0.19/0.43
%------------------------------------------------------------------------------