TSTP Solution File: SYN587-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN587-1 : 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 12:23:03 EDT 2022
% Result : Unsatisfiable 2.33s 2.57s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 7 unt; 0 nHn; 15 RR)
% Number of literals : 31 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
p3(u,u),
file('SYN587-1.p',unknown),
[] ).
cnf(4,axiom,
p2(u,u),
file('SYN587-1.p',unknown),
[] ).
cnf(5,axiom,
p3(c21,c19),
file('SYN587-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ p3(u,v)
| ~ p3(u,w)
| p3(w,v) ),
file('SYN587-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ p15(u,v)
| ~ p2(v,w)
| ~ p2(u,x)
| p15(x,w) ),
file('SYN587-1.p',unknown),
[] ).
cnf(18,axiom,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('SYN587-1.p',unknown),
[] ).
cnf(19,axiom,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('SYN587-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ p3(u,v)
| ~ p2(w,x)
| p2(f4(w,u),f4(x,v)) ),
file('SYN587-1.p',unknown),
[] ).
cnf(48,plain,
( ~ p3(u,v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[3,15]),
[iquote('0:Res:3.0,15.0')] ).
cnf(54,plain,
p3(c19,c21),
inference(res,[status(thm),theory(equality)],[5,48]),
[iquote('0:Res:5.0,48.0')] ).
cnf(143,plain,
( ~ p2(c20,u)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),v)
| p15(v,u) ),
inference(res,[status(thm),theory(equality)],[18,17]),
[iquote('0:Res:18.0,17.0')] ).
cnf(388,plain,
( ~ p3(c19,u)
| ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),v)
| ~ p2(c20,w)
| p15(f4(v,u),w) ),
inference(res,[status(thm),theory(equality)],[20,143]),
[iquote('0:Res:20.2,143.1')] ).
cnf(1427,plain,
( ~ p3(c19,u)
| ~ p2(c20,v)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),u),v) ),
inference(res,[status(thm),theory(equality)],[4,388]),
[iquote('0:Res:4.0,388.1')] ).
cnf(6402,plain,
( ~ p3(c19,c21)
| ~ p2(c20,c20) ),
inference(res,[status(thm),theory(equality)],[1427,19]),
[iquote('0:Res:1427.2,19.0')] ).
cnf(6409,plain,
$false,
inference(mrr,[status(thm)],[6402,54,4]),
[iquote('0:MRR:6402.0,6402.1,54.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN587-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 11 18:29:25 EDT 2022
% 0.15/0.36 % CPUTime :
% 2.33/2.57
% 2.33/2.57 SPASS V 3.9
% 2.33/2.57 SPASS beiseite: Proof found.
% 2.33/2.57 % SZS status Theorem
% 2.33/2.57 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.33/2.57 SPASS derived 6322 clauses, backtracked 0 clauses, performed 0 splits and kept 3850 clauses.
% 2.33/2.57 SPASS allocated 66970 KBytes.
% 2.33/2.57 SPASS spent 0:00:02.18 on the problem.
% 2.33/2.57 0:00:00.03 for the input.
% 2.33/2.57 0:00:00.00 for the FLOTTER CNF translation.
% 2.33/2.57 0:00:00.06 for inferences.
% 2.33/2.57 0:00:00.00 for the backtracking.
% 2.33/2.57 0:00:02.02 for the reduction.
% 2.33/2.57
% 2.33/2.57
% 2.33/2.57 Here is a proof with depth 4, length 15 :
% 2.33/2.57 % SZS output start Refutation
% See solution above
% 2.33/2.57 Formulae used in the proof : p3_3 p2_4 p3_5 p3_15 p15_17 p15_18 not_p15_19 p2_20
% 2.33/2.57
%------------------------------------------------------------------------------