%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV902-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:07:06 PM UTC 2026
% Result : Unsatisfiable 5.84s 16.54s
% Output : CNFRefutation 5.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 59 ( 28 unt; 2 nHn; 41 RR)
% Number of literals : 103 ( 22 equ; 49 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-5 aty)
% Number of variables : 108 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_CollectD_0,axiom,
( ~ hBOOL(c_in(X2,c_Collect(X1,X3),X3))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CollectD_0) ).
cnf(cls_CollectI_0,axiom,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,c_Collect(X2,X3),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CollectI_0) ).
cnf(cls_Collect__def_0,axiom,
c_Collect(X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_conjecture_6,negated_conjecture,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_domD_0,axiom,
( ~ hBOOL(c_in(X2,c_Map_Odom(X1,X3,X4),X3))
| hAPP(X1,X2) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X2,X1,X3,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_domD_0) ).
cnf(cls_MGF_0,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MGF_0) ).
cnf(cls_not__Some__eq_1,axiom,
c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Some__eq_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_state__not__singleton__def_1,axiom,
( X1 = X2
| c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_state__not__singleton__def_1) ).
cnf(cls_WT__bodiesD_0,axiom,
( ~ c_Com_OWT__bodies
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom)
| c_Com_OWT(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__bodiesD_0) ).
cnf(cls_the_Osimps_0,axiom,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_the_Osimps_0) ).
cnf(cls_cut_0,axiom,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cut_0) ).
cnf(cls_MGT__BodyN_0,axiom,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2)),X1,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MGT__BodyN_0) ).
cnf(cls_empty_0,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty_0) ).
cnf(cls_conjecture_7,negated_conjecture,
~ 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_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_image__image_0,axiom,
c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__image_0) ).
cnf(c_0_16,plain,
( ~ hBOOL(c_in(X2,c_Collect(X1,X3),X3))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_CollectD_0]) ).
cnf(c_0_17,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,c_Collect(X2,X3),X3)) ),
inference(fof_simplification,[status(thm)],[cls_CollectI_0]) ).
cnf(c_0_18,plain,
( ~ hBOOL(c_in(X2,c_Collect(X1,X3),X3))
| hBOOL(hAPP(X1,X2)) ),
c_0_16 ).
cnf(c_0_19,axiom,
c_Collect(X1,X2) = X1,
cls_Collect__def_0 ).
cnf(c_0_20,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,c_Collect(X2,X3),X3)) ),
c_0_17 ).
cnf(c_0_21,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
cls_conjecture_6 ).
cnf(c_0_23,plain,
( ~ hBOOL(c_in(X2,c_Map_Odom(X1,X3,X4),X3))
| hAPP(X1,X2) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X2,X1,X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[cls_domD_0]) ).
cnf(c_0_24,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
inference(rw,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
hBOOL(hAPP(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),v_x)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(fof_simplification,[status(thm)],[cls_MGF_0]) ).
cnf(c_0_27,plain,
c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
inference(fof_simplification,[status(thm)],[cls_not__Some__eq_1]) ).
cnf(c_0_28,plain,
( ~ hBOOL(c_in(X2,c_Map_Odom(X1,X3,X4),X3))
| hAPP(X1,X2) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X2,X1,X3,X4),X4) ),
c_0_23 ).
cnf(c_0_29,negated_conjecture,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),X1)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
c_0_26 ).
cnf(c_0_31,negated_conjecture,
c_Com_OWT__bodies,
cls_conjecture_0 ).
cnf(c_0_32,plain,
c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
c_0_27 ).
cnf(c_0_33,axiom,
( X1 = X2
| c_Hoare__Mirabelle_Ostate__not__singleton ),
cls_state__not__singleton__def_1 ).
cnf(c_0_34,plain,
( ~ c_Com_OWT__bodies
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom)
| c_Com_OWT(X2) ),
inference(fof_simplification,[status(thm)],[cls_WT__bodiesD_0]) ).
cnf(c_0_35,axiom,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
cls_the_Osimps_0 ).
cnf(c_0_36,negated_conjecture,
c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(v_x,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom) = hAPP(c_Com_Obody,v_x),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_37,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[cls_cut_0]) ).
cnf(c_0_38,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_39,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33])]) ).
cnf(c_0_40,plain,
( ~ c_Com_OWT__bodies
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom)
| c_Com_OWT(X2) ),
c_0_34 ).
cnf(c_0_41,negated_conjecture,
c_Map_Osko__Map__XdomD__1__1(v_x,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom) = hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_x)),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2)),X1,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(fof_simplification,[status(thm)],[cls_MGT__BodyN_0]) ).
cnf(c_0_43,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
c_0_37 ).
cnf(c_0_44,plain,
( ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).
cnf(c_0_45,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2),
cls_empty_0 ).
cnf(c_0_46,plain,
( hAPP(c_Com_Obody,X2) != c_Option_Ooption_OSome(X1,tc_Com_Ocom)
| c_Com_OWT(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_31])]) ).
cnf(c_0_47,negated_conjecture,
c_Option_Ooption_OSome(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_x)),tc_Com_Ocom) = hAPP(c_Com_Obody,v_x),
inference(rw,[status(thm)],[c_0_36,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
~ 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_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(fof_simplification,[status(thm)],[cls_conjecture_7]) ).
cnf(c_0_49,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2)),X1,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
c_0_42 ).
cnf(c_0_50,plain,
( ~ c_Com_OWT(X2)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_51,negated_conjecture,
( hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_x)
| c_Com_OWT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_x))) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
~ 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_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
c_0_48 ).
cnf(c_0_53,axiom,
c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),
cls_image__image_0 ).
cnf(c_0_54,plain,
( ~ c_Com_OWT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2)))
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
c_Com_OWT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_x))),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_56,negated_conjecture,
~ 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_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV902-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/15.61 % Computer : n005.cluster.edu
% 0.14/15.61 % Model : x86_64 x86_64
% 0.14/15.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/15.61 % Memory : 8046.5625MB
% 0.14/15.61 % OS : Linux 6.8.0-71-generic
% 0.14/15.61 % CPULimit : 300
% 0.14/15.61 % WCLimit : 300
% 0.14/15.61 % DateTime : Mon Sep 21 09:31:20 UTC 2026
% 0.14/15.61 % CPUTime :
% 0.14/15.61 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/15.66 Running first-order theorem proving
% 0.14/15.66 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/benchmark/theBenchmark.p
% 5.84/16.54 % Version: 3.5.1
% 5.84/16.54 % Preprocessing class: FSLMSLSMSSSNFFN.
% 5.84/16.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.84/16.54 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 5.84/16.54 % Starting new_bool_3 with 600s (2) cores
% 5.84/16.54 % Starting new_bool_1 with 600s (2) cores
% 5.84/16.54 % Starting sh5l with 300s (1) cores
% 5.84/16.54 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 3128613 completed with status 0
% 5.84/16.54 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 5.84/16.54 % Preprocessing class: FSLMSLSMSSSNFFN.
% 5.84/16.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.84/16.54 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 5.84/16.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.84/16.54 % No SInE strategy applied
% 5.84/16.54 % Search class: FGHSM-FSLM32-DFFFFFNN
% 5.84/16.54 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 5.84/16.54 % Starting SubtermCWHack with 82s (1) cores
% 5.84/16.54 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 91s (1) cores
% 5.84/16.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 68s (1) cores
% 5.84/16.54 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3128624 completed with status 0
% 5.84/16.54 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 5.84/16.54 % Preprocessing class: FSLMSLSMSSSNFFN.
% 5.84/16.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.84/16.54 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 5.84/16.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.84/16.54 % No SInE strategy applied
% 5.84/16.54 % Search class: FGHSM-FSLM32-DFFFFFNN
% 5.84/16.54 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 5.84/16.54 % Starting SubtermCWHack with 82s (1) cores
% 5.84/16.54 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 91s (1) cores
% 5.84/16.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 68s (1) cores
% 5.84/16.54 % Preprocessing time : 0.012 s
% 5.84/16.54 % Presaturation interreduction done
% 5.84/16.54
% 5.84/16.54 % Proof found!
% 5.84/16.54 % SZS status Unsatisfiable
% 5.84/16.54 % SZS output start CNFRefutation
% See solution above
% 5.84/16.54 % Parsed axioms : 732
% 5.84/16.54 % Removed by relevancy pruning/SinE : 0
% 5.84/16.54 % Initial clauses : 732
% 5.84/16.54 % Removed in clause preprocessing : 3
% 5.84/16.54 % Initial clauses in saturation : 729
% 5.84/16.54 % Processed clauses : 3501
% 5.84/16.54 % ...of these trivial : 258
% 5.84/16.54 % ...subsumed : 1221
% 5.84/16.54 % ...remaining for further processing : 2022
% 5.84/16.54 % Other redundant clauses eliminated : 545
% 5.84/16.54 % Clauses deleted for lack of memory : 0
% 5.84/16.54 % Backward-subsumed : 34
% 5.84/16.54 % Backward-rewritten : 53
% 5.84/16.54 % Generated clauses : 33199
% 5.84/16.54 % ...of the previous two non-redundant : 27486
% 5.84/16.54 % ...aggressively subsumed : 0
% 5.84/16.54 % Contextual simplify-reflections : 6
% 5.84/16.54 % Paramodulations : 32627
% 5.84/16.54 % Factorizations : 6
% 5.84/16.54 % NegExts : 0
% 5.84/16.54 % Equation resolutions : 566
% 5.84/16.54 % Disequality decompositions : 0
% 5.84/16.54 % Total rewrite steps : 12990
% 5.84/16.54 % ...of those cached : 10943
% 5.84/16.54 % Propositional unsat checks : 0
% 5.84/16.54 % Propositional check models : 0
% 5.84/16.54 % Propositional check unsatisfiable : 0
% 5.84/16.54 % Propositional clauses : 0
% 5.84/16.54 % Propositional clauses after purity: 0
% 5.84/16.54 % Propositional unsat core size : 0
% 5.84/16.54 % Propositional preprocessing time : 0.000
% 5.84/16.54 % Propositional encoding time : 0.000
% 5.84/16.54 % Propositional solver time : 0.000
% 5.84/16.54 % Success case prop preproc time : 0.000
% 5.84/16.54 % Success case prop encoding time : 0.000
% 5.84/16.54 % Success case prop solver time : 0.000
% 5.84/16.54 % Current number of processed clauses : 1320
% 5.84/16.54 % Positive orientable unit clauses : 331
% 5.84/16.54 % Positive unorientable unit clauses: 14
% 5.84/16.54 % Negative unit clauses : 76
% 5.84/16.54 % Non-unit-clauses : 899
% 5.84/16.54 % Current number of unprocessed clauses: 23601
% 5.84/16.54 % ...number of literals in the above : 59326
% 5.84/16.54 % Current number of archived formulas : 0
% 5.84/16.54 % Current number of archived clauses : 703
% 5.84/16.54 % Clause-clause subsumption calls (NU) : 169594
% 5.84/16.54 % Rec. Clause-clause subsumption calls : 102237
% 5.84/16.54 % Non-unit clause-clause subsumptions : 880
% 5.84/16.54 % Unit Clause-clause subsumption calls : 7899
% 5.84/16.54 % Rewrite failures with RHS unbound : 0
% 5.84/16.54 % BW rewrite match attempts : 2103
% 5.84/16.54 % BW rewrite match successes : 213
% 5.84/16.54 % Condensation attempts : 0
% 5.84/16.54 % Condensation successes : 0
% 5.84/16.54 % Termbank termtop insertions : 618499
% 5.84/16.54 % Search garbage collected termcells : 1381
% 5.84/16.54
% 5.84/16.54 % -------------------------------------------------
% 5.84/16.54 % User time : 0.781 s
% 5.84/16.54 % System time : 0.055 s
% 5.84/16.54 % Total time : 0.836 s
% 5.84/16.54 % Maximum resident set size: 4976 pages
% 5.84/16.54
% 5.84/16.54 % -------------------------------------------------
% 5.84/16.54 % User time : 2.317 s
% 5.84/16.54 % System time : 0.135 s
% 5.84/16.54 % Total time : 2.452 s
% 5.84/16.54 % Maximum resident set size: 5376 pages
% 5.84/16.54 % E exiting
%------------------------------------------------------------------------------