TSTP Solution File: SYN559-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN559-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 12:22:52 EDT 2022
% Result : Unsatisfiable 8.75s 8.96s
% Output : Refutation 8.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 9 unt; 0 nHn; 17 RR)
% Number of literals : 31 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p2(u,u),
file('SYN559-1.p',unknown),
[] ).
cnf(2,axiom,
p8(c13,c9),
file('SYN559-1.p',unknown),
[] ).
cnf(3,axiom,
p7(c10,c13),
file('SYN559-1.p',unknown),
[] ).
cnf(4,axiom,
p2(f6(c9,c13),c14),
file('SYN559-1.p',unknown),
[] ).
cnf(5,axiom,
p2(f5(c14,c10),c15),
file('SYN559-1.p',unknown),
[] ).
cnf(6,axiom,
p2(f3(f4(c11),c12),c15),
file('SYN559-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN559-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ p8(u,c9)
| ~ p7(c10,u)
| ~ p2(f5(v,c10),f3(f4(c11),c12))
| ~ p2(f6(c9,u),v) ),
file('SYN559-1.p',unknown),
[] ).
cnf(15,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(21,plain,
p2(c15,f5(c14,c10)),
inference(res,[status(thm),theory(equality)],[5,15]),
[iquote('0:Res:5.0,15.0')] ).
cnf(22,plain,
p2(c15,f3(f4(c11),c12)),
inference(res,[status(thm),theory(equality)],[6,15]),
[iquote('0:Res:6.0,15.0')] ).
cnf(28,plain,
( ~ p2(c15,u)
| p2(u,f5(c14,c10)) ),
inference(res,[status(thm),theory(equality)],[21,8]),
[iquote('0:Res:21.0,8.0')] ).
cnf(41,plain,
( ~ p2(c15,u)
| p2(f5(c14,c10),u) ),
inference(res,[status(thm),theory(equality)],[28,15]),
[iquote('0:Res:28.1,15.0')] ).
cnf(128,plain,
( ~ p2(c15,f3(f4(c11),c12))
| ~ p8(u,c9)
| ~ p7(c10,u)
| ~ p2(f6(c9,u),c14) ),
inference(res,[status(thm),theory(equality)],[41,14]),
[iquote('0:Res:41.1,14.2')] ).
cnf(130,plain,
( ~ p8(u,c9)
| ~ p7(c10,u)
| ~ p2(f6(c9,u),c14) ),
inference(mrr,[status(thm)],[128,22]),
[iquote('0:MRR:128.0,22.0')] ).
cnf(6879,plain,
( ~ p8(c13,c9)
| ~ p7(c10,c13) ),
inference(res,[status(thm),theory(equality)],[4,130]),
[iquote('0:Res:4.0,130.2')] ).
cnf(6884,plain,
$false,
inference(mrr,[status(thm)],[6879,2,3]),
[iquote('0:MRR:6879.0,6879.1,2.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN559-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jul 12 03:32:02 EDT 2022
% 0.12/0.32 % CPUTime :
% 8.75/8.96
% 8.75/8.96 SPASS V 3.9
% 8.75/8.96 SPASS beiseite: Proof found.
% 8.75/8.96 % SZS status Theorem
% 8.75/8.96 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.75/8.96 SPASS derived 6848 clauses, backtracked 0 clauses, performed 0 splits and kept 5102 clauses.
% 8.75/8.96 SPASS allocated 67900 KBytes.
% 8.75/8.96 SPASS spent 0:00:08.60 on the problem.
% 8.75/8.96 0:00:00.04 for the input.
% 8.75/8.96 0:00:00.00 for the FLOTTER CNF translation.
% 8.75/8.96 0:00:00.08 for inferences.
% 8.75/8.96 0:00:00.00 for the backtracking.
% 8.75/8.96 0:00:08.44 for the reduction.
% 8.75/8.96
% 8.75/8.96
% 8.75/8.96 Here is a proof with depth 6, length 17 :
% 8.75/8.96 % SZS output start Refutation
% See solution above
% 8.75/8.96 Formulae used in the proof : p2_1 p8_2 p7_3 p2_4 p2_5 p2_6 p2_8 not_p8_14
% 8.75/8.96
%------------------------------------------------------------------------------