TSTP Solution File: SWV898-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV898-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 201.71s 201.96s
% Output : Refutation 201.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 10 RR)
% Number of literals : 12 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(498,axiom,
equal(c_Set_Oimage(c_Fun_Ocomp(u,v,w,x,y),z,y,x),c_Set_Oimage(u,c_Set_Oimage(v,z,y,w),w,x)),
file('SWV898-1.p',unknown),
[] ).
cnf(556,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
file('SWV898-1.p',unknown),
[] ).
cnf(571,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('SWV898-1.p',unknown),
[] ).
cnf(572,axiom,
( ~ c_Finite__Set_Ofinite(u,v)
| c_Finite__Set_Ofinite(c_Set_Oimage(w,u,v,x),x) ),
file('SWV898-1.p',unknown),
[] ).
cnf(626,axiom,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),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)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
file('SWV898-1.p',unknown),
[] ).
cnf(655,plain,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(rew,[status(thm),theory(equality)],[571,626]),
[iquote('0:Rew:571.0,626.0,571.0,626.0')] ).
cnf(44777,plain,
( ~ c_Finite__Set_Ofinite(u,v)
| c_Finite__Set_Ofinite(c_Set_Oimage(w,c_Set_Oimage(x,u,v,y),y,z),z) ),
inference(spr,[status(thm),theory(equality)],[498,572]),
[iquote('0:SpR:498.0,572.1')] ).
cnf(170352,plain,
~ c_Finite__Set_Ofinite(c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom)),
inference(res,[status(thm),theory(equality)],[44777,655]),
[iquote('0:Res:44777.1,655.0')] ).
cnf(170355,plain,
~ c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
inference(res,[status(thm),theory(equality)],[572,170352]),
[iquote('0:Res:572.1,170352.0')] ).
cnf(170357,plain,
$false,
inference(mrr,[status(thm)],[170355,556]),
[iquote('0:MRR:170355.0,556.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV898-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n026.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 : Wed Jun 15 08:13:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 201.71/201.96
% 201.71/201.96 SPASS V 3.9
% 201.71/201.96 SPASS beiseite: Proof found.
% 201.71/201.96 % SZS status Theorem
% 201.71/201.96 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 201.71/201.96 SPASS derived 126018 clauses, backtracked 0 clauses, performed 0 splits and kept 20181 clauses.
% 201.71/201.96 SPASS allocated 233069 KBytes.
% 201.71/201.96 SPASS spent 0:03:08.88 on the problem.
% 201.71/201.96 0:00:00.06 for the input.
% 201.71/201.96 0:00:00.00 for the FLOTTER CNF translation.
% 201.71/201.96 0:00:01.67 for inferences.
% 201.71/201.96 0:00:00.00 for the backtracking.
% 201.71/201.96 0:03:06.21 for the reduction.
% 201.71/201.96
% 201.71/201.96
% 201.71/201.96 Here is a proof with depth 3, length 10 :
% 201.71/201.96 % SZS output start Refutation
% See solution above
% 201.71/201.96 Formulae used in the proof : cls_image__compose_0 cls_finite__dom__body_0 cls_image__image_0 cls_finite__imageI_0 cls_conjecture_3
% 201.71/201.96
%------------------------------------------------------------------------------