TSTP Solution File: SYN072-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN072-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 12:18:19 EDT 2022
% Result : Unsatisfiable 0.13s 0.42s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of clauses : 25 ( 19 unt; 3 nHn; 25 RR)
% Number of literals : 31 ( 0 equ; 10 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( equal(u,d)
| equal(u,c) ),
file('SYN072-1.p',unknown),
[] ).
cnf(2,axiom,
big_p(a),
file('SYN072-1.p',unknown),
[] ).
cnf(3,axiom,
big_p(b),
file('SYN072-1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(b,a),
file('SYN072-1.p',unknown),
[] ).
cnf(5,axiom,
~ big_p(e),
file('SYN072-1.p',unknown),
[] ).
cnf(7,plain,
( equal(b,c)
| big_p(d) ),
inference(spr,[status(thm),theory(equality)],[1,3]),
[iquote('0:SpR:1.0,3.0')] ).
cnf(8,plain,
( equal(a,c)
| big_p(d) ),
inference(spr,[status(thm),theory(equality)],[1,2]),
[iquote('0:SpR:1.0,2.0')] ).
cnf(11,plain,
( ~ equal(a,d)
| equal(b,c) ),
inference(spl,[status(thm),theory(equality)],[1,4]),
[iquote('0:SpL:1.0,4.0')] ).
cnf(12,plain,
( ~ big_p(d)
| equal(e,c) ),
inference(spl,[status(thm),theory(equality)],[1,5]),
[iquote('0:SpL:1.0,5.0')] ).
cnf(16,plain,
equal(b,c),
inference(spt,[spt(split,[position(s1)])],[7]),
[iquote('1:Spt:7.0')] ).
cnf(17,plain,
big_p(c),
inference(rew,[status(thm),theory(equality)],[16,3]),
[iquote('1:Rew:16.0,3.0')] ).
cnf(18,plain,
~ equal(a,c),
inference(rew,[status(thm),theory(equality)],[16,4]),
[iquote('1:Rew:16.0,4.0')] ).
cnf(19,plain,
big_p(d),
inference(mrr,[status(thm)],[8,18]),
[iquote('1:MRR:8.0,18.0')] ).
cnf(20,plain,
equal(e,c),
inference(mrr,[status(thm)],[12,19]),
[iquote('1:MRR:12.0,19.0')] ).
cnf(21,plain,
~ big_p(c),
inference(rew,[status(thm),theory(equality)],[20,5]),
[iquote('1:Rew:20.0,5.0')] ).
cnf(22,plain,
$false,
inference(mrr,[status(thm)],[21,17]),
[iquote('1:MRR:21.0,17.0')] ).
cnf(23,plain,
~ equal(b,c),
inference(spt,[spt(split,[position(sa)])],[22,16]),
[iquote('1:Spt:22.0,7.0,16.0')] ).
cnf(24,plain,
big_p(d),
inference(spt,[spt(split,[position(s2)])],[7]),
[iquote('1:Spt:22.0,7.1')] ).
cnf(25,plain,
equal(e,c),
inference(mrr,[status(thm)],[12,24]),
[iquote('1:MRR:12.0,24.0')] ).
cnf(26,plain,
~ big_p(c),
inference(rew,[status(thm),theory(equality)],[25,5]),
[iquote('1:Rew:25.0,5.0')] ).
cnf(27,plain,
~ equal(a,d),
inference(mrr,[status(thm)],[11,23]),
[iquote('1:MRR:11.1,23.0')] ).
cnf(34,plain,
( ~ equal(d,d)
| equal(a,c) ),
inference(spl,[status(thm),theory(equality)],[1,27]),
[iquote('1:SpL:1.0,27.0')] ).
cnf(35,plain,
equal(a,c),
inference(obv,[status(thm),theory(equality)],[34]),
[iquote('1:Obv:34.0')] ).
cnf(36,plain,
big_p(c),
inference(rew,[status(thm),theory(equality)],[35,2]),
[iquote('1:Rew:35.0,2.0')] ).
cnf(39,plain,
$false,
inference(mrr,[status(thm)],[36,26]),
[iquote('1:MRR:36.0,26.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN072-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n024.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 04:10:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.42
% 0.13/0.42 SPASS V 3.9
% 0.13/0.42 SPASS beiseite: Proof found.
% 0.13/0.42 % SZS status Theorem
% 0.13/0.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.42 SPASS derived 26 clauses, backtracked 8 clauses, performed 1 splits and kept 28 clauses.
% 0.13/0.42 SPASS allocated 63093 KBytes.
% 0.13/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.13/0.42 0:00:00.04 for the input.
% 0.13/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.13/0.42 0:00:00.00 for inferences.
% 0.13/0.42 0:00:00.00 for the backtracking.
% 0.13/0.42 0:00:00.00 for the reduction.
% 0.13/0.42
% 0.13/0.42
% 0.13/0.42 Here is a proof with depth 2, length 25 :
% 0.13/0.42 % SZS output start Refutation
% See solution above
% 0.13/0.42 Formulae used in the proof : clause_1 clause_2 clause_3 clause_4 prove_this
% 0.13/0.42
%------------------------------------------------------------------------------