TSTP Solution File: SWW382+1 by E---3.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW382+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 : 300s
% DateTime : Mon Jun 24 18:11:49 EDT 2024
% Result : Theorem 3.86s 2.13s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 47 ( 31 unt; 0 def)
% Number of atoms : 76 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 28 ~; 22 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 12 con; 0-3 aty)
% Number of variables : 68 ( 5 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_image__image,axiom,
! [X15,X1,X22,X2,X5,X13] : hAPP(c_Set_Oimage(X13,X5,X2),hAPP(c_Set_Oimage(X22,X13,X1),X15)) = hAPP(c_Set_Oimage(X22,X5,hAPP(hAPP(c_COMBB(X13,X5,X22),X2),X1)),X15),
file('/export/starexec/sandbox2/tmp/tmp.ECF7wBj9jr/E---3.1_13006.p',fact_image__image) ).
fof(conj_7,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/tmp/tmp.ECF7wBj9jr/E---3.1_13006.p',conj_7) ).
fof(fact_singleton__conv2,axiom,
! [X6,X5] : hAPP(c_Set_OCollect(X5),hAPP(c_fequal,X6)) = hAPP(hAPP(c_Set_Oinsert(X5),X6),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
file('/export/starexec/sandbox2/tmp/tmp.ECF7wBj9jr/E---3.1_13006.p',fact_singleton__conv2) ).
fof(fact_Collect__def,axiom,
! [X33,X5] : hAPP(c_Set_OCollect(X5),X33) = X33,
file('/export/starexec/sandbox2/tmp/tmp.ECF7wBj9jr/E---3.1_13006.p',fact_Collect__def) ).
fof(fact_cut,axiom,
! [X4,X7,X9,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X9,X7)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X9)
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X7) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ECF7wBj9jr/E---3.1_13006.p',fact_cut) ).
fof(conj_6,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),v_F),
file('/export/starexec/sandbox2/tmp/tmp.ECF7wBj9jr/E---3.1_13006.p',conj_6) ).
fof(fact_WT__bodiesD,axiom,
! [X42,X49] :
( c_Com_OWT__bodies
=> ( hAPP(c_Com_Obody,X49) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X42)
=> hBOOL(hAPP(c_Com_OWT,X42)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ECF7wBj9jr/E---3.1_13006.p',fact_WT__bodiesD) ).
fof(fact_empty,axiom,
! [X4,X5] : c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))),
file('/export/starexec/sandbox2/tmp/tmp.ECF7wBj9jr/E---3.1_13006.p',fact_empty) ).
fof(fact_MGF,axiom,
! [X18] :
( c_Hoare__Mirabelle_Ostate__not__singleton
=> ( c_Com_OWT__bodies
=> ( hBOOL(hAPP(c_Com_OWT,X18))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X18)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ECF7wBj9jr/E---3.1_13006.p',fact_MGF) ).
fof(conj_1,hypothesis,
c_Com_OWT__bodies,
file('/export/starexec/sandbox2/tmp/tmp.ECF7wBj9jr/E---3.1_13006.p',conj_1) ).
fof(conj_0,hypothesis,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/tmp/tmp.ECF7wBj9jr/E---3.1_13006.p',conj_0) ).
fof(conj_5,hypothesis,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
file('/export/starexec/sandbox2/tmp/tmp.ECF7wBj9jr/E---3.1_13006.p',conj_5) ).
fof(c_0_12,plain,
! [X581,X582,X583,X584,X585,X586] : hAPP(c_Set_Oimage(X586,X585,X584),hAPP(c_Set_Oimage(X583,X586,X582),X581)) = hAPP(c_Set_Oimage(X583,X585,hAPP(hAPP(c_COMBB(X586,X585,X583),X584),X582)),X581),
inference(variable_rename,[status(thm)],[fact_image__image]) ).
fof(c_0_13,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7])]) ).
fof(c_0_14,plain,
! [X1872,X1873] : hAPP(c_Set_OCollect(X1873),hAPP(c_fequal,X1872)) = hAPP(hAPP(c_Set_Oinsert(X1873),X1872),c_Orderings_Obot__class_Obot(tc_fun(X1873,tc_HOL_Obool))),
inference(variable_rename,[status(thm)],[fact_singleton__conv2]) ).
fof(c_0_15,plain,
! [X2287,X2288] : hAPP(c_Set_OCollect(X2288),X2287) = X2287,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_16,plain,
! [X858,X859,X860,X861] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X861,X860,X859)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X861,X858,X860)
| c_Hoare__Mirabelle_Ohoare__derivs(X861,X858,X859) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])])]) ).
cnf(c_0_17,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),v_F),
inference(split_conjunct,[status(thm)],[conj_6]) ).
cnf(c_0_18,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(c_Set_Oimage(X4,X1,X5),X6)) = hAPP(c_Set_Oimage(X4,X2,hAPP(hAPP(c_COMBB(X1,X2,X4),X3),X5)),X6),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_19,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(fof_nnf,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),v_F),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_24,plain,
! [X327,X328] :
( ~ c_Com_OWT__bodies
| hAPP(c_Com_Obody,X328) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X327)
| hBOOL(hAPP(c_Com_OWT,X327)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_WT__bodiesD])])]) ).
cnf(c_0_25,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_fequal,X2),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_F,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_28,plain,
! [X390,X391] : c_Hoare__Mirabelle_Ohoare__derivs(X391,X390,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X391),tc_HOL_Obool))),
inference(variable_rename,[status(thm)],[fact_empty]) ).
fof(c_0_29,plain,
! [X323] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ hBOOL(hAPP(c_Com_OWT,X323))
| c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X323)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_MGF])])]) ).
cnf(c_0_30,plain,
( hBOOL(hAPP(c_Com_OWT,X2))
| ~ c_Com_OWT__bodies
| hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,hypothesis,
c_Com_OWT__bodies,
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_32,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,v_y))),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_F,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X2,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_27]) ).
cnf(c_0_34,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,hypothesis,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_37,plain,
( hBOOL(hAPP(c_Com_OWT,X1))
| hAPP(c_Com_Obody,X2) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_38,hypothesis,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
inference(split_conjunct,[status(thm)],[conj_5]) ).
cnf(c_0_39,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,v_y))),
inference(rw,[status(thm)],[c_0_32,c_0_18]) ).
cnf(c_0_40,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_31])]) ).
cnf(c_0_42,hypothesis,
( hBOOL(hAPP(c_Com_OWT,v_y))
| hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_pn) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,v_y))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(c_fequal,hAPP(c_Hoare__Mirabelle_OMGT,X1)))
| ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
inference(rw,[status(thm)],[c_0_41,c_0_26]) ).
cnf(c_0_45,hypothesis,
hBOOL(hAPP(c_Com_OWT,v_y)),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW382+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n017.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Jun 19 06:02:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 1.08/1.27 Running first-order theorem proving
% 1.08/1.27 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.ECF7wBj9jr/E---3.1_13006.p
% 3.86/2.13 # Version: 3.2.0
% 3.86/2.13 # Preprocessing class: FMLMSLSMSSSNFFN.
% 3.86/2.13 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.86/2.13 # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 3.86/2.13 # Starting new_bool_3 with 300s (1) cores
% 3.86/2.13 # Starting new_bool_1 with 300s (1) cores
% 3.86/2.13 # Starting sh5l with 300s (1) cores
% 3.86/2.13 # new_bool_3 with pid 13136 completed with status 0
% 3.86/2.13 # Result found by new_bool_3
% 3.86/2.13 # Preprocessing class: FMLMSLSMSSSNFFN.
% 3.86/2.13 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.86/2.13 # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 3.86/2.13 # Starting new_bool_3 with 300s (1) cores
% 3.86/2.13 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.86/2.13 # Search class: FGHSM-SMLM33-DFFFFFNN
% 3.86/2.13 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 3.86/2.13 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 3.86/2.13 # SAT001_MinMin_p005000_rr with pid 13241 completed with status 0
% 3.86/2.13 # Result found by SAT001_MinMin_p005000_rr
% 3.86/2.13 # Preprocessing class: FMLMSLSMSSSNFFN.
% 3.86/2.13 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.86/2.13 # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 3.86/2.13 # Starting new_bool_3 with 300s (1) cores
% 3.86/2.13 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.86/2.13 # Search class: FGHSM-SMLM33-DFFFFFNN
% 3.86/2.13 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 3.86/2.13 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 3.86/2.13 # Preprocessing time : 0.040 s
% 3.86/2.13 # Presaturation interreduction done
% 3.86/2.13
% 3.86/2.13 # Proof found!
% 3.86/2.13 # SZS status Theorem
% 3.86/2.13 # SZS output start CNFRefutation
% See solution above
% 3.86/2.13 # Parsed axioms : 5250
% 3.86/2.13 # Removed by relevancy pruning/SinE : 3248
% 3.86/2.13 # Initial clauses : 3053
% 3.86/2.13 # Removed in clause preprocessing : 86
% 3.86/2.13 # Initial clauses in saturation : 2967
% 3.86/2.13 # Processed clauses : 3492
% 3.86/2.13 # ...of these trivial : 121
% 3.86/2.13 # ...subsumed : 517
% 3.86/2.13 # ...remaining for further processing : 2854
% 3.86/2.13 # Other redundant clauses eliminated : 290
% 3.86/2.13 # Clauses deleted for lack of memory : 0
% 3.86/2.13 # Backward-subsumed : 4
% 3.86/2.13 # Backward-rewritten : 71
% 3.86/2.13 # Generated clauses : 499
% 3.86/2.13 # ...of the previous two non-redundant : 381
% 3.86/2.13 # ...aggressively subsumed : 0
% 3.86/2.13 # Contextual simplify-reflections : 9
% 3.86/2.13 # Paramodulations : 224
% 3.86/2.13 # Factorizations : 0
% 3.86/2.13 # NegExts : 0
% 3.86/2.13 # Equation resolutions : 310
% 3.86/2.13 # Disequality decompositions : 0
% 3.86/2.13 # Total rewrite steps : 2583
% 3.86/2.13 # ...of those cached : 2004
% 3.86/2.13 # Propositional unsat checks : 0
% 3.86/2.13 # Propositional check models : 0
% 3.86/2.13 # Propositional check unsatisfiable : 0
% 3.86/2.13 # Propositional clauses : 0
% 3.86/2.13 # Propositional clauses after purity: 0
% 3.86/2.13 # Propositional unsat core size : 0
% 3.86/2.13 # Propositional preprocessing time : 0.000
% 3.86/2.13 # Propositional encoding time : 0.000
% 3.86/2.13 # Propositional solver time : 0.000
% 3.86/2.13 # Success case prop preproc time : 0.000
% 3.86/2.13 # Success case prop encoding time : 0.000
% 3.86/2.13 # Success case prop solver time : 0.000
% 3.86/2.13 # Current number of processed clauses : 309
% 3.86/2.13 # Positive orientable unit clauses : 137
% 3.86/2.13 # Positive unorientable unit clauses: 1
% 3.86/2.13 # Negative unit clauses : 65
% 3.86/2.13 # Non-unit-clauses : 106
% 3.86/2.13 # Current number of unprocessed clauses: 2073
% 3.86/2.13 # ...number of literals in the above : 4936
% 3.86/2.13 # Current number of archived formulas : 0
% 3.86/2.13 # Current number of archived clauses : 2293
% 3.86/2.13 # Clause-clause subsumption calls (NU) : 417802
% 3.86/2.13 # Rec. Clause-clause subsumption calls : 214893
% 3.86/2.13 # Non-unit clause-clause subsumptions : 449
% 3.86/2.13 # Unit Clause-clause subsumption calls : 2565
% 3.86/2.13 # Rewrite failures with RHS unbound : 89
% 3.86/2.13 # BW rewrite match attempts : 7026
% 3.86/2.13 # BW rewrite match successes : 252
% 3.86/2.13 # Condensation attempts : 0
% 3.86/2.13 # Condensation successes : 0
% 3.86/2.13 # Termbank termtop insertions : 505062
% 3.86/2.13 # Search garbage collected termcells : 68977
% 3.86/2.13
% 3.86/2.13 # -------------------------------------------------
% 3.86/2.13 # User time : 0.587 s
% 3.86/2.13 # System time : 0.043 s
% 3.86/2.13 # Total time : 0.630 s
% 3.86/2.13 # Maximum resident set size: 18116 pages
% 3.86/2.13
% 3.86/2.13 # -------------------------------------------------
% 3.86/2.13 # User time : 0.778 s
% 3.86/2.13 # System time : 0.058 s
% 3.86/2.13 # Total time : 0.836 s
% 3.86/2.13 # Maximum resident set size: 9516 pages
% 3.86/2.13 % E---3.1 exiting
% 3.86/2.13 % E exiting
%------------------------------------------------------------------------------