%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN714-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 12:23:51 EDT 2022
% Result : Unsatisfiable 1.14s 1.34s
% Output : Refutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 7 unt; 2 nHn; 15 RR)
% Number of literals : 31 ( 0 equ; 19 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(22,axiom,
p51(c66,c67),
file('SYN714-1.p',unknown),
[] ).
cnf(23,axiom,
p53(c68,f17(c66)),
file('SYN714-1.p',unknown),
[] ).
cnf(24,axiom,
~ p16(f17(c66),c65),
file('SYN714-1.p',unknown),
[] ).
cnf(28,axiom,
p52(f20(f21(c62,c64)),c66),
file('SYN714-1.p',unknown),
[] ).
cnf(33,axiom,
~ p50(c66,f25(f27(c59,c68),c67),c60),
file('SYN714-1.p',unknown),
[] ).
cnf(64,axiom,
( ~ p53(u,f17(c66))
| p50(c66,f25(f27(c59,u),c67),c62) ),
file('SYN714-1.p',unknown),
[] ).
cnf(87,axiom,
( ~ p51(u,v)
| ~ p53(w,f17(u))
| p51(u,f25(f27(x,w),v)) ),
file('SYN714-1.p',unknown),
[] ).
cnf(98,axiom,
( ~ p51(u,v)
| ~ p52(f20(f21(c62,c64)),u)
| ~ p50(u,v,c62)
| p16(f17(u),c65)
| p50(u,v,c60) ),
file('SYN714-1.p',unknown),
[] ).
cnf(1676,plain,
( ~ p51(c66,u)
| ~ p50(c66,u,c62)
| p16(f17(c66),c65)
| p50(c66,u,c60) ),
inference(res,[status(thm),theory(equality)],[28,98]),
[iquote('0:Res:28.0,98.1')] ).
cnf(1677,plain,
( ~ p51(c66,u)
| ~ p50(c66,u,c62)
| p50(c66,u,c60) ),
inference(mrr,[status(thm)],[1676,24]),
[iquote('0:MRR:1676.2,24.0')] ).
cnf(1678,plain,
( ~ p53(u,f17(c66))
| ~ p51(c66,f25(f27(c59,u),c67))
| p50(c66,f25(f27(c59,u),c67),c60) ),
inference(res,[status(thm),theory(equality)],[64,1677]),
[iquote('0:Res:64.1,1677.1')] ).
cnf(5614,plain,
( ~ p53(c68,f17(c66))
| ~ p51(c66,f25(f27(c59,c68),c67)) ),
inference(res,[status(thm),theory(equality)],[1678,33]),
[iquote('0:Res:1678.2,33.0')] ).
cnf(5616,plain,
~ p51(c66,f25(f27(c59,c68),c67)),
inference(mrr,[status(thm)],[5614,23]),
[iquote('0:MRR:5614.0,23.0')] ).
cnf(5618,plain,
( ~ p51(c66,c67)
| ~ p53(c68,f17(c66)) ),
inference(res,[status(thm),theory(equality)],[87,5616]),
[iquote('0:Res:87.2,5616.0')] ).
cnf(5619,plain,
$false,
inference(mrr,[status(thm)],[5618,22,23]),
[iquote('0:MRR:5618.0,5618.1,22.0,23.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN714-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 23:00:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.14/1.34
% 1.14/1.34 SPASS V 3.9
% 1.14/1.34 SPASS beiseite: Proof found.
% 1.14/1.34 % SZS status Theorem
% 1.14/1.34 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.14/1.34 SPASS derived 5378 clauses, backtracked 0 clauses, performed 1 splits and kept 2248 clauses.
% 1.14/1.34 SPASS allocated 79163 KBytes.
% 1.14/1.34 SPASS spent 0:00:00.96 on the problem.
% 1.14/1.34 0:00:00.04 for the input.
% 1.14/1.34 0:00:00.00 for the FLOTTER CNF translation.
% 1.14/1.34 0:00:00.07 for inferences.
% 1.14/1.34 0:00:00.00 for the backtracking.
% 1.14/1.34 0:00:00.80 for the reduction.
% 1.14/1.34
% 1.14/1.34
% 1.14/1.34 Here is a proof with depth 4, length 15 :
% 1.14/1.34 % SZS output start Refutation
% See solution above
% 1.14/1.34 Formulae used in the proof : p51_22 p53_23 not_p16_24 p52_28 not_p50_33 p50_64 p51_87 p16_98
% 1.14/1.34
%------------------------------------------------------------------------------