TSTP Solution File: SYN693-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN693-1 : 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 12:23:42 EDT 2022
% Result : Unsatisfiable 20.06s 20.28s
% Output : Refutation 20.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 16 RR)
% Number of literals : 24 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
p10(u,u),
file('SYN693-1.p',unknown),
[] ).
cnf(12,axiom,
p2(u,u),
file('SYN693-1.p',unknown),
[] ).
cnf(16,axiom,
p2(c44,c46),
file('SYN693-1.p',unknown),
[] ).
cnf(34,axiom,
( ~ p2(u,v)
| p3(f4(u),f4(v)) ),
file('SYN693-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN693-1.p',unknown),
[] ).
cnf(52,axiom,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('SYN693-1.p',unknown),
[] ).
cnf(53,axiom,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('SYN693-1.p',unknown),
[] ).
cnf(58,axiom,
( ~ p3(u,v)
| ~ p10(w,x)
| p2(f11(u,w),f11(v,x)) ),
file('SYN693-1.p',unknown),
[] ).
cnf(174,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[12,40]),
[iquote('0:Res:12.0,40.0')] ).
cnf(191,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(res,[status(thm),theory(equality)],[52,174]),
[iquote('0:Res:52.0,174.0')] ).
cnf(422,plain,
( ~ p2(f11(f4(c44),c43),u)
| p2(u,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(res,[status(thm),theory(equality)],[191,40]),
[iquote('0:Res:191.0,40.0')] ).
cnf(15256,plain,
~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
inference(res,[status(thm),theory(equality)],[422,53]),
[iquote('0:Res:422.1,53.0')] ).
cnf(15356,plain,
( ~ p3(f4(c44),f4(c46))
| ~ p10(c43,c43) ),
inference(res,[status(thm),theory(equality)],[58,15256]),
[iquote('0:Res:58.2,15256.0')] ).
cnf(15360,plain,
~ p3(f4(c44),f4(c46)),
inference(mrr,[status(thm)],[15356,7]),
[iquote('0:MRR:15356.1,7.0')] ).
cnf(15403,plain,
~ p2(c44,c46),
inference(res,[status(thm),theory(equality)],[34,15360]),
[iquote('0:Res:34.1,15360.0')] ).
cnf(15409,plain,
$false,
inference(mrr,[status(thm)],[15403,16]),
[iquote('0:MRR:15403.0,16.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN693-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n004.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 : Mon Jul 11 22:08:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 20.06/20.28
% 20.06/20.28 SPASS V 3.9
% 20.06/20.28 SPASS beiseite: Proof found.
% 20.06/20.28 % SZS status Theorem
% 20.06/20.28 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.06/20.28 SPASS derived 15202 clauses, backtracked 0 clauses, performed 0 splits and kept 8614 clauses.
% 20.06/20.28 SPASS allocated 86276 KBytes.
% 20.06/20.28 SPASS spent 0:0:19.82 on the problem.
% 20.06/20.28 0:00:00.04 for the input.
% 20.06/20.28 0:00:00.00 for the FLOTTER CNF translation.
% 20.06/20.28 0:00:00.15 for inferences.
% 20.06/20.28 0:00:00.00 for the backtracking.
% 20.06/20.28 0:0:19.47 for the reduction.
% 20.06/20.28
% 20.06/20.28
% 20.06/20.28 Here is a proof with depth 6, length 16 :
% 20.06/20.28 % SZS output start Refutation
% See solution above
% 20.06/20.28 Formulae used in the proof : p10_7 p2_12 p2_16 p3_34 p2_40 p2_52 not_p2_53 p2_58
% 20.06/20.28
%------------------------------------------------------------------------------