TSTP Solution File: SYN561-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN561-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 12:22:53 EDT 2022
% Result : Unsatisfiable 60.36s 60.57s
% Output : Refutation 60.36s
% 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 : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p2(u,u),
file('SYN561-1.p',unknown),
[] ).
cnf(2,axiom,
p9(c14,c10),
file('SYN561-1.p',unknown),
[] ).
cnf(3,axiom,
p8(c11,c14),
file('SYN561-1.p',unknown),
[] ).
cnf(4,axiom,
p2(f7(c10,c14),c15),
file('SYN561-1.p',unknown),
[] ).
cnf(5,axiom,
p2(f6(c15,c11),c16),
file('SYN561-1.p',unknown),
[] ).
cnf(6,axiom,
p2(f3(f4(f5(c12)),c13),c16),
file('SYN561-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN561-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ p9(u,c10)
| ~ p8(c11,u)
| ~ p2(f6(v,c11),f3(f4(f5(c12)),c13))
| ~ p2(f7(c10,u),v) ),
file('SYN561-1.p',unknown),
[] ).
cnf(16,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(24,plain,
p2(c16,f6(c15,c11)),
inference(res,[status(thm),theory(equality)],[5,16]),
[iquote('0:Res:5.0,16.0')] ).
cnf(25,plain,
p2(c16,f3(f4(f5(c12)),c13)),
inference(res,[status(thm),theory(equality)],[6,16]),
[iquote('0:Res:6.0,16.0')] ).
cnf(31,plain,
( ~ p2(c16,u)
| p2(u,f6(c15,c11)) ),
inference(res,[status(thm),theory(equality)],[24,9]),
[iquote('0:Res:24.0,9.0')] ).
cnf(44,plain,
( ~ p2(c16,u)
| p2(f6(c15,c11),u) ),
inference(res,[status(thm),theory(equality)],[31,16]),
[iquote('0:Res:31.1,16.0')] ).
cnf(126,plain,
( ~ p2(c16,f3(f4(f5(c12)),c13))
| ~ p9(u,c10)
| ~ p8(c11,u)
| ~ p2(f7(c10,u),c15) ),
inference(res,[status(thm),theory(equality)],[44,15]),
[iquote('0:Res:44.1,15.2')] ).
cnf(127,plain,
( ~ p9(u,c10)
| ~ p8(c11,u)
| ~ p2(f7(c10,u),c15) ),
inference(mrr,[status(thm)],[126,25]),
[iquote('0:MRR:126.0,25.0')] ).
cnf(17288,plain,
( ~ p9(c14,c10)
| ~ p8(c11,c14) ),
inference(res,[status(thm),theory(equality)],[4,127]),
[iquote('0:Res:4.0,127.2')] ).
cnf(17293,plain,
$false,
inference(mrr,[status(thm)],[17288,2,3]),
[iquote('0:MRR:17288.0,17288.1,2.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN561-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 12:58:37 EDT 2022
% 0.11/0.33 % CPUTime :
% 60.36/60.57
% 60.36/60.57 SPASS V 3.9
% 60.36/60.57 SPASS beiseite: Proof found.
% 60.36/60.57 % SZS status Theorem
% 60.36/60.57 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 60.36/60.57 SPASS derived 17255 clauses, backtracked 0 clauses, performed 0 splits and kept 13614 clauses.
% 60.36/60.57 SPASS allocated 75461 KBytes.
% 60.36/60.57 SPASS spent 0:01:00.06 on the problem.
% 60.36/60.57 0:00:00.04 for the input.
% 60.36/60.57 0:00:00.00 for the FLOTTER CNF translation.
% 60.36/60.57 0:00:00.18 for inferences.
% 60.36/60.57 0:00:00.00 for the backtracking.
% 60.36/60.57 0:0:59.76 for the reduction.
% 60.36/60.57
% 60.36/60.57
% 60.36/60.57 Here is a proof with depth 6, length 17 :
% 60.36/60.57 % SZS output start Refutation
% See solution above
% 60.36/60.57 Formulae used in the proof : p2_1 p9_2 p8_3 p2_4 p2_5 p2_6 p2_9 not_p9_15
% 60.36/60.57
%------------------------------------------------------------------------------