TSTP Solution File: SYN657-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN657-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 12:23:29 EDT 2022
% Result : Unsatisfiable 0.67s 0.82s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 8 unt; 6 nHn; 18 RR)
% Number of literals : 33 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
p6(u,u),
file('SYN657-1.p',unknown),
[] ).
cnf(11,axiom,
~ p6(c28,f10(c33)),
file('SYN657-1.p',unknown),
[] ).
cnf(15,axiom,
p6(f21(f8(u,f9(v,w))),v),
file('SYN657-1.p',unknown),
[] ).
cnf(25,axiom,
( ~ p6(u,v)
| ~ p6(u,w)
| p6(w,v) ),
file('SYN657-1.p',unknown),
[] ).
cnf(44,axiom,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
file('SYN657-1.p',unknown),
[] ).
cnf(45,axiom,
( ~ p25(u,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c31,c34)),f19(f20(c31,u))) ),
file('SYN657-1.p',unknown),
[] ).
cnf(48,axiom,
( p6(f21(u),f10(c33))
| p25(f22(u,v,w),f18(u))
| p4(f5(u,c36,v),f5(u,c36,w)) ),
file('SYN657-1.p',unknown),
[] ).
cnf(49,axiom,
( ~ p24(f19(f20(u,v)),f19(f20(u,f22(w,u,v))))
| p6(f21(w),f10(c33))
| p4(f5(w,c36,u),f5(w,c36,v)) ),
file('SYN657-1.p',unknown),
[] ).
cnf(63,plain,
( ~ p6(u,v)
| p6(v,u) ),
inference(res,[status(thm),theory(equality)],[3,25]),
[iquote('0:Res:3.0,25.0')] ).
cnf(65,plain,
( ~ p6(f21(f8(u,f9(v,w))),x)
| p6(x,v) ),
inference(res,[status(thm),theory(equality)],[15,25]),
[iquote('0:Res:15.0,25.0')] ).
cnf(382,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29)))) ),
inference(res,[status(thm),theory(equality)],[48,44]),
[iquote('0:Res:48.2,44.0')] ).
cnf(605,plain,
( ~ p25(f22(u,c31,c34),f18(f8(c27,f9(c28,c29))))
| p6(f21(u),f10(c33))
| p4(f5(u,c36,c31),f5(u,c36,c34)) ),
inference(res,[status(thm),theory(equality)],[45,49]),
[iquote('0:Res:45.1,49.0')] ).
cnf(1700,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)) ),
inference(res,[status(thm),theory(equality)],[382,605]),
[iquote('0:Res:382.1,605.0')] ).
cnf(1701,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)) ),
inference(obv,[status(thm),theory(equality)],[1700]),
[iquote('0:Obv:1700.0')] ).
cnf(1702,plain,
p6(f21(f8(c27,f9(c28,c29))),f10(c33)),
inference(mrr,[status(thm)],[1701,44]),
[iquote('0:MRR:1701.1,44.0')] ).
cnf(1725,plain,
p6(f10(c33),c28),
inference(res,[status(thm),theory(equality)],[1702,65]),
[iquote('0:Res:1702.0,65.0')] ).
cnf(1744,plain,
p6(c28,f10(c33)),
inference(res,[status(thm),theory(equality)],[1725,63]),
[iquote('0:Res:1725.0,63.0')] ).
cnf(1748,plain,
$false,
inference(mrr,[status(thm)],[1744,11]),
[iquote('0:MRR:1744.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN657-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 00:51:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.67/0.82
% 0.67/0.82 SPASS V 3.9
% 0.67/0.82 SPASS beiseite: Proof found.
% 0.67/0.82 % SZS status Theorem
% 0.67/0.82 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/0.82 SPASS derived 1682 clauses, backtracked 0 clauses, performed 0 splits and kept 1112 clauses.
% 0.67/0.82 SPASS allocated 64857 KBytes.
% 0.67/0.82 SPASS spent 0:00:00.47 on the problem.
% 0.67/0.82 0:00:00.03 for the input.
% 0.67/0.82 0:00:00.00 for the FLOTTER CNF translation.
% 0.67/0.82 0:00:00.02 for inferences.
% 0.67/0.82 0:00:00.00 for the backtracking.
% 0.67/0.82 0:00:00.38 for the reduction.
% 0.67/0.82
% 0.67/0.82
% 0.67/0.82 Here is a proof with depth 4, length 18 :
% 0.67/0.82 % SZS output start Refutation
% See solution above
% 0.67/0.82 Formulae used in the proof : p6_3 not_p6_11 p6_15 p6_25 not_p4_44 p24_45 p6_48 p6_49
% 0.67/0.82
%------------------------------------------------------------------------------