TSTP Solution File: SYN626-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN626-1 : 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 12:23:18 EDT 2022
% Result : Unsatisfiable 0.74s 0.91s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 7 unt; 0 nHn; 16 RR)
% Number of literals : 30 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 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(2,axiom,
p7(u,u),
file('SYN626-1.p',unknown),
[] ).
cnf(3,axiom,
p6(u,u),
file('SYN626-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ p15(u,v)
| p16(u,v) ),
file('SYN626-1.p',unknown),
[] ).
cnf(9,axiom,
p15(c22,f8(f5(c20),f9(c23,c24))),
file('SYN626-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ p16(c22,u)
| p7(f12(f13(u)),u) ),
file('SYN626-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ p7(u,v)
| ~ p7(u,w)
| p7(w,v) ),
file('SYN626-1.p',unknown),
[] ).
cnf(24,axiom,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
file('SYN626-1.p',unknown),
[] ).
cnf(31,axiom,
( ~ p15(u,v)
| ~ p7(v,w)
| ~ p6(u,x)
| p15(x,w) ),
file('SYN626-1.p',unknown),
[] ).
cnf(36,plain,
p16(c22,f8(f5(c20),f9(c23,c24))),
inference(res,[status(thm),theory(equality)],[9,8]),
[iquote('0:Res:9.0,8.0')] ).
cnf(85,plain,
( ~ p7(u,v)
| p7(v,u) ),
inference(res,[status(thm),theory(equality)],[2,17]),
[iquote('0:Res:2.0,17.0')] ).
cnf(89,plain,
( ~ p16(c22,u)
| p7(u,f12(f13(u))) ),
inference(res,[status(thm),theory(equality)],[15,85]),
[iquote('0:Res:15.1,85.0')] ).
cnf(465,plain,
( ~ p7(f8(f5(c20),f9(c23,c24)),u)
| ~ p6(c22,v)
| p15(v,u) ),
inference(res,[status(thm),theory(equality)],[9,31]),
[iquote('0:Res:9.0,31.0')] ).
cnf(1021,plain,
( ~ p16(c22,f8(f5(c20),f9(c23,c24)))
| ~ p6(c22,u)
| p15(u,f12(f13(f8(f5(c20),f9(c23,c24))))) ),
inference(res,[status(thm),theory(equality)],[89,465]),
[iquote('0:Res:89.1,465.0')] ).
cnf(1025,plain,
( ~ p6(c22,u)
| p15(u,f12(f13(f8(f5(c20),f9(c23,c24))))) ),
inference(mrr,[status(thm)],[1021,36]),
[iquote('0:MRR:1021.0,36.0')] ).
cnf(5380,plain,
~ p6(c22,c22),
inference(res,[status(thm),theory(equality)],[1025,24]),
[iquote('0:Res:1025.1,24.0')] ).
cnf(5381,plain,
$false,
inference(mrr,[status(thm)],[5380,3]),
[iquote('0:MRR:5380.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN626-1 : 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 18:27:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.74/0.91
% 0.74/0.91 SPASS V 3.9
% 0.74/0.91 SPASS beiseite: Proof found.
% 0.74/0.91 % SZS status Theorem
% 0.74/0.91 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.74/0.91 SPASS derived 5314 clauses, backtracked 0 clauses, performed 1 splits and kept 1119 clauses.
% 0.74/0.91 SPASS allocated 65772 KBytes.
% 0.74/0.91 SPASS spent 0:00:00.56 on the problem.
% 0.74/0.91 0:00:00.03 for the input.
% 0.74/0.91 0:00:00.00 for the FLOTTER CNF translation.
% 0.74/0.91 0:00:00.05 for inferences.
% 0.74/0.91 0:00:00.00 for the backtracking.
% 0.74/0.91 0:00:00.44 for the reduction.
% 0.74/0.91
% 0.74/0.91
% 0.74/0.91 Here is a proof with depth 4, length 16 :
% 0.74/0.91 % SZS output start Refutation
% See solution above
% 0.74/0.91 Formulae used in the proof : p7_2 p6_3 p16_8 p15_9 p7_15 p7_17 not_p15_24 p15_31
% 0.74/0.91
%------------------------------------------------------------------------------