%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW359+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 : Thu Jul 21 00:10:39 EDT 2022
% Result : Theorem 1.13s 25.30s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 57 ( 23 unt; 0 def)
% Number of atoms : 126 ( 26 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 119 ( 50 ~; 51 |; 8 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 158 ( 17 sgn 87 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_assms_I3_J,axiom,
! [X4,X5] :
( v_wt(X5)
=> ( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X3),v_U))
=> v_P(X4,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,X3)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) )
=> v_P(X4,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X5)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_assms_I3_J) ).
fof(fact_assms_I1_J,axiom,
! [X4,X14] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X14),X4))
=> v_P(X4,X14) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_assms_I1_J) ).
fof(fact_subset__insertI2,axiom,
! [X17,X13,X11,X9] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool)),X11),X13))
=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool)),X11),hAPP(hAPP(c_Set_Oinsert(X9),X17),X13))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_subset__insertI2) ).
fof(fact_insert__subset,axiom,
! [X13,X11,X19,X9] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X9),X19),X11)),X13))
<=> ( hBOOL(hAPP(hAPP(c_member(X9),X19),X13))
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool)),X11),X13)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_insert__subset) ).
fof(fact_empty__subsetI,axiom,
! [X11,X9] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X9,tc_HOL_Obool))),X11)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_empty__subsetI) ).
fof(fact_imageI,axiom,
! [X2,X7,X11,X19,X9] :
( hBOOL(hAPP(hAPP(c_member(X9),X19),X11))
=> hBOOL(hAPP(hAPP(c_member(X7),hAPP(X2,X19)),hAPP(c_Set_Oimage(X9,X7,X2),X11))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_imageI) ).
fof(fact_empty__not__insert,axiom,
! [X11,X10,X9] : c_Orderings_Obot__class_Obot(tc_fun(X9,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X9),X10),X11),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_empty__not__insert) ).
fof(fact_image__insert,axiom,
! [X13,X10,X2,X9,X7] : hAPP(c_Set_Oimage(X7,X9,X2),hAPP(hAPP(c_Set_Oinsert(X7),X10),X13)) = hAPP(hAPP(c_Set_Oinsert(X9),hAPP(X2,X10)),hAPP(c_Set_Oimage(X7,X9,X2),X13)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_image__insert) ).
fof(fact_insert__absorb,axiom,
! [X11,X10,X9] :
( hBOOL(hAPP(hAPP(c_member(X9),X10),X11))
=> hAPP(hAPP(c_Set_Oinsert(X9),X10),X11) = X11 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_insert__absorb) ).
fof(fact_insert__absorb2,axiom,
! [X11,X19,X9] : hAPP(hAPP(c_Set_Oinsert(X9),X19),hAPP(hAPP(c_Set_Oinsert(X9),X19),X11)) = hAPP(hAPP(c_Set_Oinsert(X9),X19),X11),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_insert__absorb2) ).
fof(fact_finite_Osimps,axiom,
! [X10,X9] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X9),X10))
<=> ( X10 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_HOL_Obool))
| ? [X36] :
( ? [X31] : X10 = hAPP(hAPP(c_Set_Oinsert(X9),X31),X36)
& hBOOL(hAPP(c_Finite__Set_Ofinite(X9),X36)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_finite_Osimps) ).
fof(conj_3,conjecture,
v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(v_c)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_3) ).
fof(conj_1,hypothesis,
v_wt(v_c),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(fact_finite__imageI,axiom,
! [X6,X7,X8,X9] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X9),X8))
=> hBOOL(hAPP(c_Finite__Set_Ofinite(X7),hAPP(c_Set_Oimage(X9,X7,X6),X8))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_finite__imageI) ).
fof(conj_0,hypothesis,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(c_0_15,plain,
! [X6,X7] :
( ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),esk14_2(X6,X7)),v_U))
| v_P(X6,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X7)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
| ~ v_wt(X7) )
& ( ~ v_P(X6,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,esk14_2(X6,X7))),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
| v_P(X6,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X7)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
| ~ v_wt(X7) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_assms_I3_J])])])])])]) ).
fof(c_0_16,plain,
! [X15,X16] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X16),X15))
| v_P(X15,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_assms_I1_J])]) ).
cnf(c_0_17,plain,
( v_P(X2,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X1)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
| ~ v_wt(X1)
| ~ v_P(X2,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,esk14_2(X2,X1))),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
( v_P(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_19,plain,
! [X18,X19,X20,X21] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X21,tc_HOL_Obool)),X20),X19))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X21,tc_HOL_Obool)),X20),hAPP(hAPP(c_Set_Oinsert(X21),X18),X19))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_subset__insertI2])]) ).
cnf(c_0_20,plain,
( v_P(X1,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,esk14_2(X1,X2))),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),X1))
| ~ v_wt(X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_22,plain,
! [X20,X21,X22,X23,X20,X21,X22,X23] :
( ( hBOOL(hAPP(hAPP(c_member(X23),X22),X20))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X23,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X23),X22),X21)),X20)) )
& ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X23,tc_HOL_Obool)),X21),X20))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X23,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X23),X22),X21)),X20)) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X23),X22),X20))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X23,tc_HOL_Obool)),X21),X20))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X23,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X23),X22),X21)),X20)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__subset])])])])]) ).
fof(c_0_23,plain,
! [X12,X13] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X13,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X13,tc_HOL_Obool))),X12)),
inference(variable_rename,[status(thm)],[fact_empty__subsetI]) ).
fof(c_0_24,plain,
! [X20,X21,X22,X23,X24] :
( ~ hBOOL(hAPP(hAPP(c_member(X24),X23),X22))
| hBOOL(hAPP(hAPP(c_member(X21),hAPP(X20,X23)),hAPP(c_Set_Oimage(X24,X21,X20),X22))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_imageI])]) ).
fof(c_0_25,plain,
! [X12,X13,X14] : c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X14),X13),X12),
inference(variable_rename,[status(thm)],[fact_empty__not__insert]) ).
fof(c_0_26,plain,
! [X14,X15,X16,X17,X18] : hAPP(c_Set_Oimage(X18,X17,X16),hAPP(hAPP(c_Set_Oinsert(X18),X15),X14)) = hAPP(hAPP(c_Set_Oinsert(X17),hAPP(X16,X15)),hAPP(c_Set_Oimage(X18,X17,X16),X14)),
inference(variable_rename,[status(thm)],[fact_image__insert]) ).
fof(c_0_27,plain,
! [X12,X13,X14] :
( ~ hBOOL(hAPP(hAPP(c_member(X14),X13),X12))
| hAPP(hAPP(c_Set_Oinsert(X14),X13),X12) = X12 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__absorb])]) ).
cnf(c_0_28,plain,
( v_P(hAPP(hAPP(c_Set_Oinsert(t_a),X1),X2),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X3)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,esk14_2(hAPP(hAPP(c_Set_Oinsert(t_a),X1),X2),X3))),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),X2))
| ~ v_wt(X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X2)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
( hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X4,X1,X2),X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X4),X3),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
( v_P(X2,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X1)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),esk14_2(X2,X1)),v_U))
| ~ v_wt(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_33,plain,
! [X20,X21,X22] : hAPP(hAPP(c_Set_Oinsert(X22),X21),hAPP(hAPP(c_Set_Oinsert(X22),X21),X20)) = hAPP(hAPP(c_Set_Oinsert(X22),X21),X20),
inference(variable_rename,[status(thm)],[fact_insert__absorb2]) ).
fof(c_0_34,plain,
! [X37,X38,X37,X38,X41,X42] :
( ( X37 = hAPP(hAPP(c_Set_Oinsert(X38),esk7_2(X37,X38)),esk6_2(X37,X38))
| X37 = c_Orderings_Obot__class_Obot(tc_fun(X38,tc_HOL_Obool))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X38),X37)) )
& ( hBOOL(hAPP(c_Finite__Set_Ofinite(X38),esk6_2(X37,X38)))
| X37 = c_Orderings_Obot__class_Obot(tc_fun(X38,tc_HOL_Obool))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X38),X37)) )
& ( X37 != c_Orderings_Obot__class_Obot(tc_fun(X38,tc_HOL_Obool))
| hBOOL(hAPP(c_Finite__Set_Ofinite(X38),X37)) )
& ( X37 != hAPP(hAPP(c_Set_Oinsert(X38),X42),X41)
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X38),X41))
| hBOOL(hAPP(c_Finite__Set_Ofinite(X38),X37)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite_Osimps])])])])])])]) ).
cnf(c_0_35,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5)) = hAPP(hAPP(c_Set_Oinsert(X2),hAPP(X3,X4)),hAPP(c_Set_Oimage(X1,X2,X3),X5)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,plain,
( hAPP(hAPP(c_Set_Oinsert(X1),X2),X3) = X3
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_38,negated_conjecture,
~ v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(v_c)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(assume_negation,[status(cth)],[conj_3]) ).
cnf(c_0_39,plain,
( v_P(hAPP(hAPP(c_Set_Oinsert(t_a),X1),X2),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X3)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,esk14_2(hAPP(hAPP(c_Set_Oinsert(t_a),X1),X2),X3))),X2))
| ~ v_wt(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_40,plain,
( v_P(X1,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(c_member(X3),hAPP(X4,esk14_2(X1,X2))),hAPP(c_Set_Oimage(tc_Com_Opname,X3,X4),v_U)))
| ~ v_wt(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_41,plain,
hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| X2 = hAPP(hAPP(c_Set_Oinsert(X1),esk7_2(X2,X1)),esk6_2(X2,X1))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
inference(pm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,plain,
( hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),esk14_2(X1,X2)),v_U) = v_U
| v_P(X1,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
| ~ v_wt(X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_32]) ).
fof(c_0_45,negated_conjecture,
~ v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(v_c)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
cnf(c_0_46,plain,
( v_P(hAPP(hAPP(c_Set_Oinsert(t_a),X1),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
| ~ v_wt(X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,plain,
( hAPP(hAPP(c_Set_Oinsert(X1),esk7_2(X2,X1)),X2) = X2
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X2)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
( v_P(X1,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
| hAPP(c_Set_Oimage(tc_Com_Opname,X3,X4),v_U) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))
| ~ v_wt(X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
~ v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(v_c)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,plain,
( v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(X1)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))
| ~ v_wt(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_51,hypothesis,
v_wt(v_c),
inference(split_conjunct,[status(thm)],[conj_1]) ).
fof(c_0_52,plain,
! [X10,X11,X12,X13] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X13),X12))
| hBOOL(hAPP(c_Finite__Set_Ofinite(X11),hAPP(c_Set_Oimage(X13,X11,X10),X12))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__imageI])]) ).
cnf(c_0_53,negated_conjecture,
~ hBOOL(hAPP(c_Finite__Set_Ofinite(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_54,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X2,X1,X3),X4)))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_55,hypothesis,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW359+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n025.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 : Sun Jun 5 18:21:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.12/24.13 eprover: CPU time limit exceeded, terminating
% 1.12/24.13 eprover: CPU time limit exceeded, terminating
% 1.12/24.13 eprover: CPU time limit exceeded, terminating
% 1.12/24.15 eprover: CPU time limit exceeded, terminating
% 1.13/25.30 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 1.13/25.30
% 1.13/25.30 # Failure: Resource limit exceeded (time)
% 1.13/25.30 # OLD status Res
% 1.13/25.30 # Preprocessing time : 1.002 s
% 1.13/25.30 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 1.13/25.30 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 1.13/25.30 # Preprocessing time : 0.176 s
% 1.13/25.30
% 1.13/25.30 # Proof found!
% 1.13/25.30 # SZS status Theorem
% 1.13/25.30 # SZS output start CNFRefutation
% See solution above
% 1.13/25.30 # Proof object total steps : 57
% 1.13/25.30 # Proof object clause steps : 28
% 1.13/25.30 # Proof object formula steps : 29
% 1.13/25.30 # Proof object conjectures : 6
% 1.13/25.30 # Proof object clause conjectures : 3
% 1.13/25.30 # Proof object formula conjectures : 3
% 1.13/25.30 # Proof object initial clauses used : 16
% 1.13/25.30 # Proof object initial formulas used : 15
% 1.13/25.30 # Proof object generating inferences : 12
% 1.13/25.30 # Proof object simplifying inferences : 7
% 1.13/25.30 # Training examples: 0 positive, 0 negative
% 1.13/25.30 # Parsed axioms : 5227
% 1.13/25.30 # Removed by relevancy pruning/SinE : 5126
% 1.13/25.30 # Initial clauses : 169
% 1.13/25.30 # Removed in clause preprocessing : 6
% 1.13/25.30 # Initial clauses in saturation : 163
% 1.13/25.30 # Processed clauses : 773
% 1.13/25.30 # ...of these trivial : 20
% 1.13/25.30 # ...subsumed : 359
% 1.13/25.30 # ...remaining for further processing : 394
% 1.13/25.30 # Other redundant clauses eliminated : 42
% 1.13/25.30 # Clauses deleted for lack of memory : 0
% 1.13/25.30 # Backward-subsumed : 4
% 1.13/25.30 # Backward-rewritten : 7
% 1.13/25.30 # Generated clauses : 4417
% 1.13/25.30 # ...of the previous two non-trivial : 3815
% 1.13/25.30 # Contextual simplify-reflections : 26
% 1.13/25.30 # Paramodulations : 4339
% 1.13/25.30 # Factorizations : 0
% 1.13/25.30 # Equation resolutions : 55
% 1.13/25.30 # Current number of processed clauses : 378
% 1.13/25.30 # Positive orientable unit clauses : 60
% 1.13/25.30 # Positive unorientable unit clauses: 6
% 1.13/25.30 # Negative unit clauses : 30
% 1.13/25.30 # Non-unit-clauses : 282
% 1.13/25.30 # Current number of unprocessed clauses: 3120
% 1.13/25.30 # ...number of literals in the above : 7376
% 1.13/25.30 # Current number of archived formulas : 0
% 1.13/25.30 # Current number of archived clauses : 11
% 1.13/25.30 # Clause-clause subsumption calls (NU) : 10145
% 1.13/25.30 # Rec. Clause-clause subsumption calls : 8068
% 1.13/25.30 # Non-unit clause-clause subsumptions : 210
% 1.13/25.30 # Unit Clause-clause subsumption calls : 1153
% 1.13/25.30 # Rewrite failures with RHS unbound : 0
% 1.13/25.30 # BW rewrite match attempts : 1352
% 1.13/25.30 # BW rewrite match successes : 27
% 1.13/25.30 # Condensation attempts : 0
% 1.13/25.30 # Condensation successes : 0
% 1.13/25.30 # Termbank termtop insertions : 320181
% 1.13/25.30
% 1.13/25.30 # -------------------------------------------------
% 1.13/25.30 # User time : 0.321 s
% 1.13/25.30 # System time : 0.013 s
% 1.13/25.30 # Total time : 0.334 s
% 1.13/25.30 # Maximum resident set size: 17220 pages
% 1.13/47.14 eprover: CPU time limit exceeded, terminating
% 1.13/47.15 eprover: CPU time limit exceeded, terminating
% 1.13/47.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.13/47.16 eprover: No such file or directory
% 1.13/47.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.13/47.16 eprover: No such file or directory
% 1.13/47.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.13/47.17 eprover: No such file or directory
% 1.13/47.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.13/47.17 eprover: No such file or directory
% 1.13/47.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.13/47.17 eprover: No such file or directory
% 1.13/47.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.13/47.18 eprover: No such file or directory
% 1.13/47.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.13/47.18 eprover: No such file or directory
% 1.13/47.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.13/47.18 eprover: No such file or directory
% 1.13/47.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.13/47.18 eprover: No such file or directory
% 1.13/47.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.13/47.18 eprover: No such file or directory
% 1.13/47.19 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.13/47.19 eprover: No such file or directory
% 1.13/47.19 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.13/47.19 eprover: No such file or directory
% 1.13/47.19 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.13/47.19 eprover: No such file or directory
% 1.13/47.20 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.13/47.20 eprover: No such file or directory
% 1.13/47.20 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.13/47.20 eprover: No such file or directory
% 1.13/47.20 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.13/47.20 eprover: No such file or directory
% 1.13/47.21 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.13/47.21 eprover: No such file or directory
% 1.13/47.21 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.13/47.21 eprover: No such file or directory
% 1.13/47.21 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.13/47.21 eprover: No such file or directory
% 1.13/47.22 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.13/47.22 eprover: No such file or directory
%------------------------------------------------------------------------------