TSTP Solution File: PUZ038-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ038-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Mon Jul 18 18:27:22 EDT 2022
% Result : Unsatisfiable 0.49s 0.70s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-12 aty)
% Number of functors : 26 ( 26 usr; 13 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
file('PUZ038-1.p',unknown),
[] ).
cnf(2,axiom,
~ state(u,v,w,v3(s(s(s(o))),o),x,y,z,x1,x2,x3,x4,x5),
file('PUZ038-1.p',unknown),
[] ).
cnf(29,axiom,
( ~ state(u,v,w,v3(x,y),z,x1,x2,x3,x4,x5,e1(s(s(x)),y),x6)
| state(u,v,w,v3(s(x),y),z,x1,x2,x3,x4,x5,e1(x,y),x6) ),
file('PUZ038-1.p',unknown),
[] ).
cnf(1127,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(res,[status(thm),theory(equality)],[1,29]),
[iquote('0:Res:1.0,29.0')] ).
cnf(1128,plain,
$false,
inference(mrr,[status(thm)],[1127,2]),
[iquote('0:MRR:1127.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ038-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n029.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 : Sun May 29 00:18:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.49/0.70
% 0.49/0.70 SPASS V 3.9
% 0.49/0.70 SPASS beiseite: Proof found.
% 0.49/0.70 % SZS status Theorem
% 0.49/0.70 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.70 SPASS derived 1081 clauses, backtracked 0 clauses, performed 0 splits and kept 853 clauses.
% 0.49/0.70 SPASS allocated 64949 KBytes.
% 0.49/0.70 SPASS spent 0:00:00.34 on the problem.
% 0.49/0.70 0:00:00.04 for the input.
% 0.49/0.70 0:00:00.00 for the FLOTTER CNF translation.
% 0.49/0.70 0:00:00.03 for inferences.
% 0.49/0.70 0:00:00.00 for the backtracking.
% 0.49/0.70 0:00:00.24 for the reduction.
% 0.49/0.70
% 0.49/0.70
% 0.49/0.70 Here is a proof with depth 1, length 5 :
% 0.49/0.70 % SZS output start Refutation
% See solution above
% 0.49/0.70 Formulae used in the proof : initial_state goal_state v3_down
% 0.49/0.70
%------------------------------------------------------------------------------