TSTP Solution File: SYN648-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN648-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 12:23:26 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 6 unt; 4 nHn; 16 RR)
% Number of literals : 54 ( 0 equ; 36 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
p3(u,u),
file('SYN648-1.p',unknown),
[] ).
cnf(14,axiom,
p2(c27,c30),
file('SYN648-1.p',unknown),
[] ).
cnf(15,axiom,
p26(c31,c30),
file('SYN648-1.p',unknown),
[] ).
cnf(16,axiom,
~ p24(f4(c27,c28),c29),
file('SYN648-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ p24(f4(f6(c32,c30),u),v)
| p24(f4(c30,u),v) ),
file('SYN648-1.p',unknown),
[] ).
cnf(43,axiom,
( ~ p2(u,v)
| ~ p3(w,x)
| ~ p3(x,f4(u,c28))
| ~ p26(c31,v)
| ~ p24(f4(v,f17(f19(f21(f23(c33,w),x),u),v)),f9(f11(f13(f15(c34,w),x),u),v))
| p24(w,c29) ),
file('SYN648-1.p',unknown),
[] ).
cnf(44,axiom,
( ~ p2(u,v)
| ~ p3(w,x)
| ~ p3(x,f4(u,c28))
| ~ p26(c31,v)
| p24(w,c29)
| p24(f4(f6(c32,v),f17(f19(f21(f23(c33,w),x),u),v)),f9(f11(f13(f15(c34,w),x),u),v)) ),
file('SYN648-1.p',unknown),
[] ).
cnf(117,plain,
( ~ p2(u,c30)
| ~ p3(v,w)
| ~ p3(w,f4(u,c28))
| ~ p26(c31,c30)
| p24(v,c29)
| p24(f4(c30,f17(f19(f21(f23(c33,v),w),u),c30)),f9(f11(f13(f15(c34,v),w),u),c30)) ),
inference(res,[status(thm),theory(equality)],[44,30]),
[iquote('0:Res:44.5,30.0')] ).
cnf(119,plain,
( ~ p2(u,c30)
| ~ p3(v,w)
| ~ p3(w,f4(u,c28))
| p24(v,c29)
| p24(f4(c30,f17(f19(f21(f23(c33,v),w),u),c30)),f9(f11(f13(f15(c34,v),w),u),c30)) ),
inference(mrr,[status(thm)],[117,15]),
[iquote('0:MRR:117.3,15.0')] ).
cnf(183,plain,
( ~ p2(u,c30)
| ~ p3(v,w)
| ~ p3(w,f4(u,c28))
| ~ p2(u,c30)
| ~ p3(v,w)
| ~ p3(w,f4(u,c28))
| ~ p26(c31,c30)
| p24(v,c29)
| p24(v,c29) ),
inference(res,[status(thm),theory(equality)],[119,43]),
[iquote('0:Res:119.4,43.4')] ).
cnf(185,plain,
( ~ p2(u,c30)
| ~ p3(v,w)
| ~ p3(w,f4(u,c28))
| ~ p26(c31,c30)
| p24(v,c29) ),
inference(obv,[status(thm),theory(equality)],[183]),
[iquote('0:Obv:183.7')] ).
cnf(186,plain,
( ~ p2(u,c30)
| ~ p3(v,w)
| ~ p3(w,f4(u,c28))
| p24(v,c29) ),
inference(mrr,[status(thm)],[185,15]),
[iquote('0:MRR:185.3,15.0')] ).
cnf(187,plain,
( ~ p2(u,c30)
| ~ p3(v,f4(u,c28))
| p24(v,c29) ),
inference(res,[status(thm),theory(equality)],[5,186]),
[iquote('0:Res:5.0,186.2')] ).
cnf(190,plain,
( ~ p2(u,c30)
| p24(f4(u,c28),c29) ),
inference(res,[status(thm),theory(equality)],[5,187]),
[iquote('0:Res:5.0,187.1')] ).
cnf(193,plain,
~ p2(c27,c30),
inference(res,[status(thm),theory(equality)],[190,16]),
[iquote('0:Res:190.1,16.0')] ).
cnf(196,plain,
$false,
inference(mrr,[status(thm)],[193,14]),
[iquote('0:MRR:193.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN648-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 06:43:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 148 clauses, backtracked 0 clauses, performed 0 splits and kept 143 clauses.
% 0.19/0.43 SPASS allocated 63351 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.08 on the problem.
% 0.19/0.43 0:00:00.03 for the input.
% 0.19/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.02 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 5, length 16 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : p3_5 p2_14 p26_15 not_p24_16 p24_30 p24_43 p24_44
% 0.19/0.43
%------------------------------------------------------------------------------