TSTP Solution File: SYN562-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN562-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 12:22:53 EDT 2022
% Result : Unsatisfiable 0.35s 0.51s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 7 unt; 0 nHn; 12 RR)
% Number of literals : 21 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 19 ( 7 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p2(u,u),
file('SYN562-1.p',unknown),
[] ).
cnf(3,axiom,
~ p10(u,u),
file('SYN562-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN562-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ p10(u,v)
| ~ p2(v,w)
| ~ p2(u,x)
| p10(x,w) ),
file('SYN562-1.p',unknown),
[] ).
cnf(15,axiom,
p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
file('SYN562-1.p',unknown),
[] ).
cnf(16,axiom,
p10(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
file('SYN562-1.p',unknown),
[] ).
cnf(19,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(44,plain,
( ~ p2(f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12)))))))))))))))))),u)
| ~ p2(f7(c11),v)
| p10(v,u) ),
inference(res,[status(thm),theory(equality)],[16,14]),
[iquote('0:Res:16.0,14.0')] ).
cnf(58,plain,
p2(f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12)))))))))))))))))),f7(c11)),
inference(res,[status(thm),theory(equality)],[15,19]),
[iquote('0:Res:15.0,19.0')] ).
cnf(640,plain,
( ~ p2(f7(c11),u)
| p10(u,f7(c11)) ),
inference(res,[status(thm),theory(equality)],[58,44]),
[iquote('0:Res:58.0,44.0')] ).
cnf(643,plain,
~ p2(f7(c11),f7(c11)),
inference(res,[status(thm),theory(equality)],[640,3]),
[iquote('0:Res:640.1,3.0')] ).
cnf(645,plain,
$false,
inference(mrr,[status(thm)],[643,1]),
[iquote('0:MRR:643.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN562-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 15:39:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.35/0.51
% 0.35/0.51 SPASS V 3.9
% 0.35/0.51 SPASS beiseite: Proof found.
% 0.35/0.51 % SZS status Theorem
% 0.35/0.51 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.51 SPASS derived 622 clauses, backtracked 0 clauses, performed 0 splits and kept 461 clauses.
% 0.35/0.51 SPASS allocated 63571 KBytes.
% 0.35/0.51 SPASS spent 0:00:00.15 on the problem.
% 0.35/0.51 0:00:00.04 for the input.
% 0.35/0.51 0:00:00.00 for the FLOTTER CNF translation.
% 0.35/0.51 0:00:00.01 for inferences.
% 0.35/0.51 0:00:00.00 for the backtracking.
% 0.35/0.51 0:00:00.08 for the reduction.
% 0.35/0.51
% 0.35/0.51
% 0.35/0.51 Here is a proof with depth 4, length 12 :
% 0.35/0.51 % SZS output start Refutation
% See solution above
% 0.35/0.51 Formulae used in the proof : p2_1 not_p10_3 p2_12 p10_14 p2_15 p10_16
% 0.35/0.51
%------------------------------------------------------------------------------