TSTP Solution File: SYN656-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN656-1 : 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 12:23:28 EDT 2022
% Result : Unsatisfiable 0.18s 0.58s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 9 unt; 3 nHn; 19 RR)
% Number of literals : 35 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
p4(u,u),
file('SYN656-1.p',unknown),
[] ).
cnf(6,axiom,
p3(u,u),
file('SYN656-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ p3(u,v)
| ~ p3(u,w)
| p3(w,v) ),
file('SYN656-1.p',unknown),
[] ).
cnf(31,axiom,
p25(f5(c29,f13(c31,f15(c32,u))),f13(c31,u)),
file('SYN656-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ p25(f5(u,v),w)
| p25(f5(f7(c28,u),v),w) ),
file('SYN656-1.p',unknown),
[] ).
cnf(35,axiom,
( ~ p25(u,v)
| ~ p4(u,w)
| ~ p3(v,x)
| p25(w,x) ),
file('SYN656-1.p',unknown),
[] ).
cnf(45,axiom,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
file('SYN656-1.p',unknown),
[] ).
cnf(46,axiom,
( ~ p25(f5(u,v),w)
| ~ p25(f5(f7(c28,u),w),x)
| p25(f5(f7(c28,u),v),x) ),
file('SYN656-1.p',unknown),
[] ).
cnf(49,axiom,
( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),u)))
| p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),u))),f13(c31,c34)) ),
file('SYN656-1.p',unknown),
[] ).
cnf(75,plain,
( ~ p3(u,v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[6,22]),
[iquote('0:Res:6.0,22.0')] ).
cnf(102,plain,
( ~ p4(f5(c29,f13(c31,f15(c32,u))),v)
| ~ p3(f13(c31,u),w)
| p25(v,w) ),
inference(res,[status(thm),theory(equality)],[31,35]),
[iquote('0:Res:31.0,35.0')] ).
cnf(113,plain,
~ p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(res,[status(thm),theory(equality)],[33,45]),
[iquote('0:Res:33.1,45.0')] ).
cnf(125,plain,
( ~ p3(f13(c31,u),v)
| p25(f5(c29,f13(c31,f15(c32,u))),v) ),
inference(res,[status(thm),theory(equality)],[5,102]),
[iquote('0:Res:5.0,102.0')] ).
cnf(128,plain,
~ p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
inference(res,[status(thm),theory(equality)],[125,113]),
[iquote('0:Res:125.1,113.0')] ).
cnf(145,plain,
( ~ p25(f5(c29,u),f13(c31,f15(f17(c33,c34),v)))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),v)))
| p25(f5(f7(c28,c29),u),f13(c31,c34)) ),
inference(res,[status(thm),theory(equality)],[49,46]),
[iquote('0:Res:49.1,46.1')] ).
cnf(316,plain,
( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),u)))
| p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),u)))),f13(c31,c34)) ),
inference(res,[status(thm),theory(equality)],[31,145]),
[iquote('0:Res:31.0,145.0')] ).
cnf(686,plain,
p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
inference(res,[status(thm),theory(equality)],[316,45]),
[iquote('0:Res:316.1,45.0')] ).
cnf(701,plain,
p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
inference(res,[status(thm),theory(equality)],[686,75]),
[iquote('0:Res:686.0,75.0')] ).
cnf(715,plain,
$false,
inference(mrr,[status(thm)],[701,128]),
[iquote('0:MRR:701.0,128.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN656-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n025.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 : Mon Jul 11 14:18:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.58
% 0.18/0.58 SPASS V 3.9
% 0.18/0.58 SPASS beiseite: Proof found.
% 0.18/0.58 % SZS status Theorem
% 0.18/0.58 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.58 SPASS derived 652 clauses, backtracked 0 clauses, performed 0 splits and kept 561 clauses.
% 0.18/0.58 SPASS allocated 64064 KBytes.
% 0.18/0.58 SPASS spent 0:00:00.24 on the problem.
% 0.18/0.58 0:00:00.03 for the input.
% 0.18/0.58 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.58 0:00:00.02 for inferences.
% 0.18/0.58 0:00:00.00 for the backtracking.
% 0.18/0.58 0:00:00.16 for the reduction.
% 0.18/0.58
% 0.18/0.58
% 0.18/0.58 Here is a proof with depth 4, length 19 :
% 0.18/0.58 % SZS output start Refutation
% See solution above
% 0.18/0.58 Formulae used in the proof : p4_5 p3_6 p3_22 p25_31 p25_33 p25_35 not_p25_45 p25_46 p3_49
% 0.18/0.58
%------------------------------------------------------------------------------