TSTP Solution File: SYN689-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN689-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 12:23:41 EDT 2022
% Result : Unsatisfiable 17.54s 17.74s
% Output : Refutation 17.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 7 unt; 0 nHn; 20 RR)
% Number of literals : 44 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
p27(c43),
file('SYN689-1.p',unknown),
[] ).
cnf(3,axiom,
p27(c35),
file('SYN689-1.p',unknown),
[] ).
cnf(10,axiom,
p18(u,u),
file('SYN689-1.p',unknown),
[] ).
cnf(15,axiom,
~ p26(f17(c43),c35),
file('SYN689-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ p27(u)
| p27(f17(u)) ),
file('SYN689-1.p',unknown),
[] ).
cnf(18,axiom,
p28(f20(f19(c43)),f19(c35)),
file('SYN689-1.p',unknown),
[] ).
cnf(31,axiom,
( ~ p27(u)
| p18(f19(f17(u)),f20(f19(u))) ),
file('SYN689-1.p',unknown),
[] ).
cnf(37,axiom,
( ~ p18(u,v)
| ~ p18(u,w)
| p18(w,v) ),
file('SYN689-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ p27(u)
| ~ p27(v)
| ~ p28(f19(v),f19(u))
| p26(v,u) ),
file('SYN689-1.p',unknown),
[] ).
cnf(44,axiom,
( ~ p18(u,v)
| ~ p28(u,w)
| ~ p18(w,x)
| p28(v,x) ),
file('SYN689-1.p',unknown),
[] ).
cnf(91,plain,
( ~ p18(u,v)
| p18(v,u) ),
inference(res,[status(thm),theory(equality)],[10,37]),
[iquote('0:Res:10.0,37.0')] ).
cnf(105,plain,
( ~ p27(u)
| p18(f20(f19(u)),f19(f17(u))) ),
inference(res,[status(thm),theory(equality)],[31,91]),
[iquote('0:Res:31.1,91.0')] ).
cnf(370,plain,
( ~ p27(u)
| ~ p28(f20(f19(u)),v)
| ~ p18(v,w)
| p28(f19(f17(u)),w) ),
inference(res,[status(thm),theory(equality)],[105,44]),
[iquote('0:Res:105.1,44.0')] ).
cnf(20128,plain,
( ~ p27(c43)
| ~ p18(f19(c35),u)
| p28(f19(f17(c43)),u) ),
inference(res,[status(thm),theory(equality)],[18,370]),
[iquote('0:Res:18.0,370.1')] ).
cnf(20136,plain,
( ~ p18(f19(c35),u)
| p28(f19(f17(c43)),u) ),
inference(ssi,[status(thm)],[20128,2]),
[iquote('0:SSi:20128.0,2.0')] ).
cnf(20142,plain,
( ~ p27(u)
| ~ p27(f17(c43))
| ~ p18(f19(c35),f19(u))
| p26(f17(c43),u) ),
inference(res,[status(thm),theory(equality)],[20136,41]),
[iquote('0:Res:20136.1,41.2')] ).
cnf(20147,plain,
( ~ p27(u)
| ~ p18(f19(c35),f19(u))
| p26(f17(c43),u) ),
inference(ssi,[status(thm)],[20142,17,2]),
[iquote('0:SSi:20142.1,17.0,2.1')] ).
cnf(20148,plain,
( ~ p27(c35)
| p26(f17(c43),c35) ),
inference(res,[status(thm),theory(equality)],[10,20147]),
[iquote('0:Res:10.0,20147.1')] ).
cnf(20151,plain,
p26(f17(c43),c35),
inference(ssi,[status(thm)],[20148,3]),
[iquote('0:SSi:20148.0,3.0')] ).
cnf(20152,plain,
$false,
inference(mrr,[status(thm)],[20151,15]),
[iquote('0:MRR:20151.0,15.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN689-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n022.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 07:57:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 17.54/17.74
% 17.54/17.74 SPASS V 3.9
% 17.54/17.74 SPASS beiseite: Proof found.
% 17.54/17.74 % SZS status Theorem
% 17.54/17.74 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.54/17.74 SPASS derived 19949 clauses, backtracked 0 clauses, performed 0 splits and kept 10583 clauses.
% 17.54/17.74 SPASS allocated 89611 KBytes.
% 17.54/17.74 SPASS spent 0:0:17.27 on the problem.
% 17.54/17.74 0:00:00.04 for the input.
% 17.54/17.74 0:00:00.00 for the FLOTTER CNF translation.
% 17.54/17.74 0:00:00.31 for inferences.
% 17.54/17.74 0:00:00.00 for the backtracking.
% 17.54/17.74 0:0:16.74 for the reduction.
% 17.54/17.74
% 17.54/17.74
% 17.54/17.74 Here is a proof with depth 6, length 20 :
% 17.54/17.74 % SZS output start Refutation
% See solution above
% 17.54/17.74 Formulae used in the proof : c43_is_p27_2 c35_is_p27_3 p18_10 not_p26_15 p27_17 p28_18 p18_31 p18_37 p26_41 p28_44
% 17.54/17.74
%------------------------------------------------------------------------------