TSTP Solution File: SWV889-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV889-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 : Wed Jul 20 21:45:30 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : Refutation 0.19s
% 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 : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(601,axiom,
( ~ c_lessequals(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(v,u,w) ),
file('SWV889-1.p',unknown),
[] ).
cnf(642,axiom,
c_lessequals(v_ts,v_G,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
file('SWV889-1.p',unknown),
[] ).
cnf(643,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,tc_Com_Ostate),
file('SWV889-1.p',unknown),
[] ).
cnf(799,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_ts,tc_Com_Ostate),
inference(res,[status(thm),theory(equality)],[642,601]),
[iquote('0:Res:642.0,601.0')] ).
cnf(901,plain,
$false,
inference(mrr,[status(thm)],[799,643]),
[iquote('0:MRR:799.0,643.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV889-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.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 : Wed Jun 15 19:12:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.56
% 0.19/0.56 SPASS V 3.9
% 0.19/0.56 SPASS beiseite: Proof found.
% 0.19/0.56 % SZS status Theorem
% 0.19/0.56 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.56 SPASS derived 98 clauses, backtracked 0 clauses, performed 0 splits and kept 532 clauses.
% 0.19/0.56 SPASS allocated 76769 KBytes.
% 0.19/0.56 SPASS spent 0:00:00.21 on the problem.
% 0.19/0.56 0:00:00.06 for the input.
% 0.19/0.56 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.56 0:00:00.00 for inferences.
% 0.19/0.56 0:00:00.00 for the backtracking.
% 0.19/0.56 0:00:00.09 for the reduction.
% 0.19/0.56
% 0.19/0.56
% 0.19/0.56 Here is a proof with depth 1, length 5 :
% 0.19/0.56 % SZS output start Refutation
% See solution above
% 0.19/0.56 Formulae used in the proof : cls_asm_0 cls_conjecture_3 cls_conjecture_4
% 0.19/0.56
%------------------------------------------------------------------------------