TSTP Solution File: SYN593-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN593-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 12:23:05 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 3 nHn; 11 RR)
% Number of literals : 23 ( 0 equ; 9 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
~ p3(c21,c19),
file('SYN593-1.p',unknown),
[] ).
cnf(6,axiom,
~ p12(f13(c20),f13(c18)),
file('SYN593-1.p',unknown),
[] ).
cnf(18,axiom,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('SYN593-1.p',unknown),
[] ).
cnf(19,axiom,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('SYN593-1.p',unknown),
[] ).
cnf(23,axiom,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file('SYN593-1.p',unknown),
[] ).
cnf(24,axiom,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file('SYN593-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ p15(f4(f6(f10(u),f6(f7(f8(f9(c17))),c18)),v),w)
| ~ p15(f4(f6(f10(u),f6(f7(f8(f9(c17))),c18)),x),w)
| p3(x,v)
| p12(f13(w),f13(c18))
| p15(f4(f6(f10(u),f6(f7(f8(f9(c17))),c18)),f11(x)),w)
| p15(f4(f6(f10(u),f6(f7(f8(f9(c17))),c18)),f11(v)),w) ),
file('SYN593-1.p',unknown),
[] ).
cnf(268,plain,
( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),u),c20)
| p3(u,c19)
| p12(f13(c20),f13(c18))
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(u)),c20)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20) ),
inference(res,[status(thm),theory(equality)],[18,27]),
[iquote('0:Res:18.0,27.0')] ).
cnf(270,plain,
( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),u),c20)
| p3(u,c19)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(u)),c20) ),
inference(mrr,[status(thm)],[268,6,24]),
[iquote('0:MRR:268.2,268.4,6.0,24.0')] ).
cnf(461,plain,
( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20)
| p3(c21,c19) ),
inference(res,[status(thm),theory(equality)],[270,23]),
[iquote('0:Res:270.2,23.0')] ).
cnf(465,plain,
$false,
inference(mrr,[status(thm)],[461,19,5]),
[iquote('0:MRR:461.0,461.1,19.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN593-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 00:29:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 433 clauses, backtracked 0 clauses, performed 0 splits and kept 260 clauses.
% 0.19/0.49 SPASS allocated 63535 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.19/0.49 0:00:00.04 for the input.
% 0.19/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.01 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.06 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 2, length 11 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : not_p3_5 not_p12_6 p15_18 p15_19 not_p15_23 not_p15_24 p3_27
% 0.19/0.49
%------------------------------------------------------------------------------