TSTP Solution File: SWV900-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV900-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 21:45:32 EDT 2022
% Result : Unsatisfiable 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(511,axiom,
equal(c_Set_Oimage(u,c_Set_Oimage(v,w,x,y),y,z),c_Set_Oimage(c_COMBB(u,v,y,z,x),w,x,z)),
file('SWV900-1.p',unknown),
[] ).
cnf(521,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(u,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v),
file('SWV900-1.p',unknown),
[] ).
cnf(580,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate),
file('SWV900-1.p',unknown),
[] ).
cnf(604,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate),
inference(rew,[status(thm),theory(equality)],[511,580]),
[iquote('0:Rew:511.0,580.0')] ).
cnf(605,plain,
$false,
inference(mrr,[status(thm)],[604,521]),
[iquote('0:MRR:604.0,521.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV900-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n015.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 : Wed Jun 15 12:36:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.55
% 0.21/0.55 SPASS V 3.9
% 0.21/0.55 SPASS beiseite: Proof found.
% 0.21/0.55 % SZS status Theorem
% 0.21/0.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.55 SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 385 clauses.
% 0.21/0.55 SPASS allocated 76821 KBytes.
% 0.21/0.55 SPASS spent 0:00:00.18 on the problem.
% 0.21/0.55 0:00:00.05 for the input.
% 0.21/0.55 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.55 0:00:00.00 for inferences.
% 0.21/0.55 0:00:00.00 for the backtracking.
% 0.21/0.55 0:00:00.07 for the reduction.
% 0.21/0.55
% 0.21/0.55
% 0.21/0.55 Here is a proof with depth 0, length 5 :
% 0.21/0.55 % SZS output start Refutation
% See solution above
% 0.21/0.55 Formulae used in the proof : cls_image__image_0 cls_empty_0 cls_conjecture_3
% 0.21/0.55
%------------------------------------------------------------------------------