TSTP Solution File: GEO192+2 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GEO192+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n011.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 : Sat Jul 16 04:41:41 EDT 2022
% Result : Theorem 0.81s 1.03s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(ceq3,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
input ).
fof(ceq3_0,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| distinct_lines(X,Y) ),
inference(orientation,[status(thm)],[ceq3]) ).
fof(ceq2,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
input ).
fof(ceq2_0,plain,
! [X,Y,Z] :
( ~ apart_point_and_line(X,Y)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
inference(orientation,[status(thm)],[ceq2]) ).
fof(ceq1,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
input ).
fof(ceq1_0,plain,
! [X,Y,Z] :
( ~ apart_point_and_line(X,Y)
| distinct_points(X,Z)
| apart_point_and_line(Z,Y) ),
inference(orientation,[status(thm)],[ceq1]) ).
fof(con2,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( ( apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y) )
=> distinct_points(Z,intersection_point(X,Y)) ) ),
input ).
fof(con2_0,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| ( ( apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y) )
=> distinct_points(Z,intersection_point(X,Y)) ) ),
inference(orientation,[status(thm)],[con2]) ).
fof(con1,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( apart_point_and_line(Z,line_connecting(X,Y))
=> ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
input ).
fof(con1_0,plain,
! [X,Y,Z] :
( ~ distinct_points(X,Y)
| ( apart_point_and_line(Z,line_connecting(X,Y))
=> ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
inference(orientation,[status(thm)],[con1]) ).
fof(apart6,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
input ).
fof(apart6_0,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(orientation,[status(thm)],[apart6]) ).
fof(apart5,axiom,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
input ).
fof(apart5_0,plain,
! [X,Y,Z] :
( ~ distinct_lines(X,Y)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(orientation,[status(thm)],[apart5]) ).
fof(apart4,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
input ).
fof(apart4_0,plain,
! [X,Y,Z] :
( ~ distinct_points(X,Y)
| distinct_points(X,Z)
| distinct_points(Y,Z) ),
inference(orientation,[status(thm)],[apart4]) ).
fof(apart3,axiom,
! [X] : ~ convergent_lines(X,X),
input ).
fof(apart3_0,plain,
! [X] :
( ~ convergent_lines(X,X)
| $false ),
inference(orientation,[status(thm)],[apart3]) ).
fof(apart2,axiom,
! [X] : ~ distinct_lines(X,X),
input ).
fof(apart2_0,plain,
! [X] :
( ~ distinct_lines(X,X)
| $false ),
inference(orientation,[status(thm)],[apart2]) ).
fof(apart1,axiom,
! [X] : ~ distinct_points(X,X),
input ).
fof(apart1_0,plain,
! [X] :
( ~ distinct_points(X,X)
| $false ),
inference(orientation,[status(thm)],[apart1]) ).
fof(def_lhs_atom1,axiom,
! [X] :
( lhs_atom1(X)
<=> ~ distinct_points(X,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [X] :
( lhs_atom1(X)
| $false ),
inference(fold_definition,[status(thm)],[apart1_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [X] :
( lhs_atom2(X)
<=> ~ distinct_lines(X,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [X] :
( lhs_atom2(X)
| $false ),
inference(fold_definition,[status(thm)],[apart2_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [X] :
( lhs_atom3(X)
<=> ~ convergent_lines(X,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [X] :
( lhs_atom3(X)
| $false ),
inference(fold_definition,[status(thm)],[apart3_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [Y,X] :
( lhs_atom4(Y,X)
<=> ~ distinct_points(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [X,Y,Z] :
( lhs_atom4(Y,X)
| distinct_points(X,Z)
| distinct_points(Y,Z) ),
inference(fold_definition,[status(thm)],[apart4_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [Y,X] :
( lhs_atom5(Y,X)
<=> ~ distinct_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [X,Y,Z] :
( lhs_atom5(Y,X)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(fold_definition,[status(thm)],[apart5_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [Y,X] :
( lhs_atom6(Y,X)
<=> ~ convergent_lines(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [X,Y,Z] :
( lhs_atom6(Y,X)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(fold_definition,[status(thm)],[apart6_0,def_lhs_atom6]) ).
fof(to_be_clausified_6,plain,
! [X,Y,Z] :
( lhs_atom4(Y,X)
| ( apart_point_and_line(Z,line_connecting(X,Y))
=> ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
inference(fold_definition,[status(thm)],[con1_0,def_lhs_atom4]) ).
fof(to_be_clausified_7,plain,
! [X,Y,Z] :
( lhs_atom6(Y,X)
| ( ( apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y) )
=> distinct_points(Z,intersection_point(X,Y)) ) ),
inference(fold_definition,[status(thm)],[con2_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [Y,X] :
( lhs_atom7(Y,X)
<=> ~ apart_point_and_line(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [X,Y,Z] :
( lhs_atom7(Y,X)
| distinct_points(X,Z)
| apart_point_and_line(Z,Y) ),
inference(fold_definition,[status(thm)],[ceq1_0,def_lhs_atom7]) ).
fof(to_be_clausified_9,plain,
! [X,Y,Z] :
( lhs_atom7(Y,X)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
inference(fold_definition,[status(thm)],[ceq2_0,def_lhs_atom7]) ).
fof(to_be_clausified_10,plain,
! [X,Y] :
( lhs_atom6(Y,X)
| distinct_lines(X,Y) ),
inference(fold_definition,[status(thm)],[ceq3_0,def_lhs_atom6]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X2,X3,X1] :
( lhs_atom4(X3,X1)
| ( apart_point_and_line(X2,line_connecting(X1,X3))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X3) ) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_1,axiom,
! [X2,X3,X1] :
( lhs_atom6(X3,X1)
| ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X3) )
=> distinct_points(X2,intersection_point(X1,X3)) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_2,axiom,
! [X2,X3,X1] :
( lhs_atom7(X3,X1)
| distinct_lines(X3,X2)
| apart_point_and_line(X1,X2) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_3,axiom,
! [X2,X3,X1] :
( lhs_atom7(X3,X1)
| distinct_points(X1,X2)
| apart_point_and_line(X2,X3) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_4,axiom,
! [X2,X3,X1] :
( lhs_atom6(X3,X1)
| convergent_lines(X1,X2)
| convergent_lines(X3,X2) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_5,axiom,
! [X2,X3,X1] :
( lhs_atom5(X3,X1)
| distinct_lines(X1,X2)
| distinct_lines(X3,X2) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_6,axiom,
! [X2,X3,X1] :
( lhs_atom4(X3,X1)
| distinct_points(X1,X2)
| distinct_points(X3,X2) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_7,axiom,
! [X3,X1] :
( lhs_atom6(X3,X1)
| distinct_lines(X1,X3) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_8,axiom,
! [X1] :
( lhs_atom3(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_9,axiom,
! [X1] :
( lhs_atom2(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_10,axiom,
! [X1] :
( lhs_atom1(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_11,axiom,
! [X2,X3,X1] :
( lhs_atom4(X3,X1)
| ( apart_point_and_line(X2,line_connecting(X1,X3))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X3) ) ) ),
c_0_0 ).
fof(c_0_12,axiom,
! [X2,X3,X1] :
( lhs_atom6(X3,X1)
| ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X3) )
=> distinct_points(X2,intersection_point(X1,X3)) ) ),
c_0_1 ).
fof(c_0_13,axiom,
! [X2,X3,X1] :
( lhs_atom7(X3,X1)
| distinct_lines(X3,X2)
| apart_point_and_line(X1,X2) ),
c_0_2 ).
fof(c_0_14,axiom,
! [X2,X3,X1] :
( lhs_atom7(X3,X1)
| distinct_points(X1,X2)
| apart_point_and_line(X2,X3) ),
c_0_3 ).
fof(c_0_15,axiom,
! [X2,X3,X1] :
( lhs_atom6(X3,X1)
| convergent_lines(X1,X2)
| convergent_lines(X3,X2) ),
c_0_4 ).
fof(c_0_16,axiom,
! [X2,X3,X1] :
( lhs_atom5(X3,X1)
| distinct_lines(X1,X2)
| distinct_lines(X3,X2) ),
c_0_5 ).
fof(c_0_17,axiom,
! [X2,X3,X1] :
( lhs_atom4(X3,X1)
| distinct_points(X1,X2)
| distinct_points(X3,X2) ),
c_0_6 ).
fof(c_0_18,axiom,
! [X3,X1] :
( lhs_atom6(X3,X1)
| distinct_lines(X1,X3) ),
c_0_7 ).
fof(c_0_19,plain,
! [X1] : lhs_atom3(X1),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_20,plain,
! [X1] : lhs_atom2(X1),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_21,plain,
! [X1] : lhs_atom1(X1),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_22,plain,
! [X4,X5,X6] :
( ( distinct_points(X4,X6)
| ~ apart_point_and_line(X4,line_connecting(X6,X5))
| lhs_atom4(X5,X6) )
& ( distinct_points(X4,X5)
| ~ apart_point_and_line(X4,line_connecting(X6,X5))
| lhs_atom4(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_23,plain,
! [X4,X5,X6] :
( ( ~ apart_point_and_line(X4,X6)
| distinct_points(X4,intersection_point(X6,X5))
| lhs_atom6(X5,X6) )
& ( ~ apart_point_and_line(X4,X5)
| distinct_points(X4,intersection_point(X6,X5))
| lhs_atom6(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_24,plain,
! [X4,X5,X6] :
( lhs_atom7(X5,X6)
| distinct_lines(X5,X4)
| apart_point_and_line(X6,X4) ),
inference(variable_rename,[status(thm)],[c_0_13]) ).
fof(c_0_25,plain,
! [X4,X5,X6] :
( lhs_atom7(X5,X6)
| distinct_points(X6,X4)
| apart_point_and_line(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_14]) ).
fof(c_0_26,plain,
! [X4,X5,X6] :
( lhs_atom6(X5,X6)
| convergent_lines(X6,X4)
| convergent_lines(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_15]) ).
fof(c_0_27,plain,
! [X4,X5,X6] :
( lhs_atom5(X5,X6)
| distinct_lines(X6,X4)
| distinct_lines(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_16]) ).
fof(c_0_28,plain,
! [X4,X5,X6] :
( lhs_atom4(X5,X6)
| distinct_points(X6,X4)
| distinct_points(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_17]) ).
fof(c_0_29,plain,
! [X4,X5] :
( lhs_atom6(X4,X5)
| distinct_lines(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_18]) ).
fof(c_0_30,plain,
! [X2] : lhs_atom3(X2),
inference(variable_rename,[status(thm)],[c_0_19]) ).
fof(c_0_31,plain,
! [X2] : lhs_atom2(X2),
inference(variable_rename,[status(thm)],[c_0_20]) ).
fof(c_0_32,plain,
! [X2] : lhs_atom1(X2),
inference(variable_rename,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
( lhs_atom4(X1,X2)
| distinct_points(X3,X2)
| ~ apart_point_and_line(X3,line_connecting(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
( lhs_atom4(X1,X2)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,line_connecting(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,plain,
( lhs_atom6(X1,X2)
| distinct_points(X3,intersection_point(X2,X1))
| ~ apart_point_and_line(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36,plain,
( lhs_atom6(X1,X2)
| distinct_points(X3,intersection_point(X2,X1))
| ~ apart_point_and_line(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| lhs_atom7(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_38,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| lhs_atom7(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| lhs_atom6(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| lhs_atom5(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_41,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| lhs_atom4(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_42,plain,
( distinct_lines(X1,X2)
| lhs_atom6(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_43,plain,
lhs_atom3(X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_44,plain,
lhs_atom2(X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_45,plain,
lhs_atom1(X1),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_46,plain,
( lhs_atom4(X1,X2)
| distinct_points(X3,X2)
| ~ apart_point_and_line(X3,line_connecting(X2,X1)) ),
c_0_33,
[final] ).
cnf(c_0_47,plain,
( lhs_atom4(X1,X2)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,line_connecting(X2,X1)) ),
c_0_34,
[final] ).
cnf(c_0_48,plain,
( lhs_atom6(X1,X2)
| distinct_points(X3,intersection_point(X2,X1))
| ~ apart_point_and_line(X3,X2) ),
c_0_35,
[final] ).
cnf(c_0_49,plain,
( lhs_atom6(X1,X2)
| distinct_points(X3,intersection_point(X2,X1))
| ~ apart_point_and_line(X3,X1) ),
c_0_36,
[final] ).
cnf(c_0_50,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| lhs_atom7(X3,X1) ),
c_0_37,
[final] ).
cnf(c_0_51,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| lhs_atom7(X2,X3) ),
c_0_38,
[final] ).
cnf(c_0_52,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| lhs_atom6(X1,X3) ),
c_0_39,
[final] ).
cnf(c_0_53,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| lhs_atom5(X1,X3) ),
c_0_40,
[final] ).
cnf(c_0_54,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| lhs_atom4(X1,X3) ),
c_0_41,
[final] ).
cnf(c_0_55,plain,
( distinct_lines(X1,X2)
| lhs_atom6(X2,X1) ),
c_0_42,
[final] ).
cnf(c_0_56,plain,
lhs_atom3(X1),
c_0_43,
[final] ).
cnf(c_0_57,plain,
lhs_atom2(X1),
c_0_44,
[final] ).
cnf(c_0_58,plain,
lhs_atom1(X1),
c_0_45,
[final] ).
% End CNF derivation
cnf(c_0_46_0,axiom,
( ~ distinct_points(X2,X1)
| distinct_points(X3,X2)
| ~ apart_point_and_line(X3,line_connecting(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_46,def_lhs_atom4]) ).
cnf(c_0_47_0,axiom,
( ~ distinct_points(X2,X1)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,line_connecting(X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_47,def_lhs_atom4]) ).
cnf(c_0_48_0,axiom,
( ~ convergent_lines(X2,X1)
| distinct_points(X3,intersection_point(X2,X1))
| ~ apart_point_and_line(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_48,def_lhs_atom6]) ).
cnf(c_0_49_0,axiom,
( ~ convergent_lines(X2,X1)
| distinct_points(X3,intersection_point(X2,X1))
| ~ apart_point_and_line(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_49,def_lhs_atom6]) ).
cnf(c_0_50_0,axiom,
( ~ apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| distinct_lines(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_50,def_lhs_atom7]) ).
cnf(c_0_51_0,axiom,
( ~ apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| distinct_points(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_51,def_lhs_atom7]) ).
cnf(c_0_52_0,axiom,
( ~ convergent_lines(X3,X1)
| convergent_lines(X1,X2)
| convergent_lines(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_52,def_lhs_atom6]) ).
cnf(c_0_53_0,axiom,
( ~ distinct_lines(X3,X1)
| distinct_lines(X1,X2)
| distinct_lines(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_53,def_lhs_atom5]) ).
cnf(c_0_54_0,axiom,
( ~ distinct_points(X3,X1)
| distinct_points(X1,X2)
| distinct_points(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_54,def_lhs_atom4]) ).
cnf(c_0_55_0,axiom,
( ~ convergent_lines(X1,X2)
| distinct_lines(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_55,def_lhs_atom6]) ).
cnf(c_0_56_0,axiom,
~ convergent_lines(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_56,def_lhs_atom3]) ).
cnf(c_0_57_0,axiom,
~ distinct_lines(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_57,def_lhs_atom2]) ).
cnf(c_0_58_0,axiom,
~ distinct_points(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_58,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2,X3,X4] :
( ( distinct_points(X1,X2)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X4) ) ),
file('<stdin>',cu1) ).
fof(c_0_1_002,axiom,
! [X1,X2,X3,X4] :
( ( distinct_points(X1,X2)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X4) ) ),
c_0_0 ).
fof(c_0_2_003,plain,
! [X5,X6,X7,X8] :
( ~ distinct_points(X5,X6)
| ~ distinct_lines(X7,X8)
| apart_point_and_line(X5,X7)
| apart_point_and_line(X5,X8)
| apart_point_and_line(X6,X7)
| apart_point_and_line(X6,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])]) ).
cnf(c_0_3_004,plain,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,plain,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
c_0_3,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_4_0,axiom,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_4]) ).
cnf(c_0_4_1,axiom,
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_4]) ).
cnf(c_0_4_2,axiom,
( apart_point_and_line(X4,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_4]) ).
cnf(c_0_4_3,axiom,
( apart_point_and_line(X4,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_4]) ).
cnf(c_0_4_4,axiom,
( ~ distinct_lines(X3,X2)
| apart_point_and_line(X4,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_4]) ).
cnf(c_0_4_5,axiom,
( ~ distinct_points(X4,X1)
| ~ distinct_lines(X3,X2)
| apart_point_and_line(X4,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_006,conjecture,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( apart_point_and_line(intersection_point(X1,X2),X3)
=> ( distinct_lines(X1,X3)
& distinct_lines(X2,X3) ) ) ),
file('<stdin>',con) ).
fof(c_0_1_007,negated_conjecture,
~ ! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( apart_point_and_line(intersection_point(X1,X2),X3)
=> ( distinct_lines(X1,X3)
& distinct_lines(X2,X3) ) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_008,negated_conjecture,
( convergent_lines(esk1_0,esk2_0)
& apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
& ( ~ distinct_lines(esk1_0,esk3_0)
| ~ distinct_lines(esk2_0,esk3_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3_009,negated_conjecture,
( ~ distinct_lines(esk2_0,esk3_0)
| ~ distinct_lines(esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_010,negated_conjecture,
apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_011,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_012,negated_conjecture,
( ~ distinct_lines(esk2_0,esk3_0)
| ~ distinct_lines(esk1_0,esk3_0) ),
c_0_3,
[final] ).
cnf(c_0_7_013,negated_conjecture,
apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0),
c_0_4,
[final] ).
cnf(c_0_8_014,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
c_0_5,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_11,plain,
( distinct_lines(X0,X1)
| distinct_lines(X2,X1)
| ~ distinct_lines(X0,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4c771d.p',c_0_53_0) ).
cnf(c_59,plain,
( distinct_lines(X0,X1)
| distinct_lines(X2,X1)
| ~ distinct_lines(X0,X2) ),
inference(copy,[status(esa)],[c_11]) ).
cnf(c_30934,plain,
( distinct_lines(sk3_esk3_0,X0)
| ~ distinct_lines(sk3_esk3_0,X1)
| distinct_lines(X1,X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_31133,plain,
( distinct_lines(sk3_esk3_0,sk3_esk3_0)
| ~ distinct_lines(sk3_esk3_0,X0)
| distinct_lines(X0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_30934]) ).
cnf(c_31134,plain,
( distinct_lines(sk3_esk3_0,sk3_esk3_0)
| ~ distinct_lines(sk3_esk3_0,sk3_esk1_0)
| distinct_lines(sk3_esk1_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_31133]) ).
cnf(c_30876,plain,
( distinct_lines(sk3_esk2_0,X0)
| ~ distinct_lines(sk3_esk3_0,sk3_esk2_0)
| distinct_lines(sk3_esk3_0,X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_31057,plain,
( distinct_lines(sk3_esk2_0,sk3_esk3_0)
| ~ distinct_lines(sk3_esk3_0,sk3_esk2_0)
| distinct_lines(sk3_esk3_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_30876]) ).
cnf(c_7,plain,
~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/tmp/iprover_modulo_4c771d.p',c_0_57_0) ).
cnf(c_55,plain,
~ distinct_lines(X0,X0),
inference(copy,[status(esa)],[c_7]) ).
cnf(c_30933,plain,
~ distinct_lines(sk3_esk3_0,sk3_esk3_0),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_6,plain,
~ distinct_points(X0,X0),
file('/export/starexec/sandbox/tmp/iprover_modulo_4c771d.p',c_0_58_0) ).
cnf(c_54,plain,
~ distinct_points(X0,X0),
inference(copy,[status(esa)],[c_6]) ).
cnf(c_30895,plain,
~ distinct_points(intersection_point(sk3_esk1_0,sk3_esk2_0),intersection_point(sk3_esk1_0,sk3_esk2_0)),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_16,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,intersection_point(X1,X2))
| ~ convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4c771d.p',c_0_48_0) ).
cnf(c_64,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,intersection_point(X1,X2))
| ~ convergent_lines(X1,X2) ),
inference(copy,[status(esa)],[c_16]) ).
cnf(c_30840,plain,
( ~ apart_point_and_line(X0,sk3_esk1_0)
| distinct_points(X0,intersection_point(sk3_esk1_0,sk3_esk2_0))
| ~ convergent_lines(sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_30853,plain,
( ~ apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
| distinct_points(intersection_point(sk3_esk1_0,sk3_esk2_0),intersection_point(sk3_esk1_0,sk3_esk2_0))
| ~ convergent_lines(sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_30840]) ).
cnf(c_14,plain,
( distinct_lines(X0,X1)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4c771d.p',c_0_50_0) ).
cnf(c_62,plain,
( distinct_lines(X0,X1)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0) ),
inference(copy,[status(esa)],[c_14]) ).
cnf(c_30793,plain,
( ~ apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)
| apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),X0)
| distinct_lines(sk3_esk3_0,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_30852,plain,
( apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk2_0)
| ~ apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)
| distinct_lines(sk3_esk3_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_30793]) ).
cnf(c_15,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,intersection_point(X2,X1))
| ~ convergent_lines(X2,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4c771d.p',c_0_49_0) ).
cnf(c_63,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,intersection_point(X2,X1))
| ~ convergent_lines(X2,X1) ),
inference(copy,[status(esa)],[c_15]) ).
cnf(c_30836,plain,
( ~ apart_point_and_line(X0,sk3_esk2_0)
| distinct_points(X0,intersection_point(sk3_esk1_0,sk3_esk2_0))
| ~ convergent_lines(sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_30851,plain,
( ~ apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk2_0)
| distinct_points(intersection_point(sk3_esk1_0,sk3_esk2_0),intersection_point(sk3_esk1_0,sk3_esk2_0))
| ~ convergent_lines(sk3_esk1_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_30836]) ).
cnf(c_30794,plain,
( ~ apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)
| apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
| distinct_lines(sk3_esk3_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_30793]) ).
cnf(c_19,negated_conjecture,
( ~ distinct_lines(sk3_esk2_0,sk3_esk3_0)
| ~ distinct_lines(sk3_esk1_0,sk3_esk3_0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_4c771d.p',c_0_6) ).
cnf(c_20,negated_conjecture,
apart_point_and_line(intersection_point(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_4c771d.p',c_0_7) ).
cnf(c_21,negated_conjecture,
convergent_lines(sk3_esk1_0,sk3_esk2_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_4c771d.p',c_0_8) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_31134,c_31057,c_30933,c_30895,c_30853,c_30852,c_30851,c_30794,c_19,c_20,c_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO192+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n011.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 : Fri Jun 17 15:56:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.19/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.40 % FOF problem with conjecture
% 0.19/0.40 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_08a54a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_4c771d.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_6b1de1 | grep -v "SZS"
% 0.19/0.42
% 0.19/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.42
% 0.19/0.42 %
% 0.19/0.42 % ------ iProver source info
% 0.19/0.42
% 0.19/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.42 % git: non_committed_changes: true
% 0.19/0.42 % git: last_make_outside_of_git: true
% 0.19/0.42
% 0.19/0.42 %
% 0.19/0.42 % ------ Input Options
% 0.19/0.42
% 0.19/0.42 % --out_options all
% 0.19/0.42 % --tptp_safe_out true
% 0.19/0.42 % --problem_path ""
% 0.19/0.42 % --include_path ""
% 0.19/0.42 % --clausifier .//eprover
% 0.19/0.42 % --clausifier_options --tstp-format
% 0.19/0.42 % --stdin false
% 0.19/0.42 % --dbg_backtrace false
% 0.19/0.42 % --dbg_dump_prop_clauses false
% 0.19/0.42 % --dbg_dump_prop_clauses_file -
% 0.19/0.42 % --dbg_out_stat false
% 0.19/0.42
% 0.19/0.42 % ------ General Options
% 0.19/0.42
% 0.19/0.42 % --fof false
% 0.19/0.42 % --time_out_real 150.
% 0.19/0.42 % --time_out_prep_mult 0.2
% 0.19/0.42 % --time_out_virtual -1.
% 0.19/0.42 % --schedule none
% 0.19/0.42 % --ground_splitting input
% 0.19/0.42 % --splitting_nvd 16
% 0.19/0.42 % --non_eq_to_eq false
% 0.19/0.42 % --prep_gs_sim true
% 0.19/0.42 % --prep_unflatten false
% 0.19/0.42 % --prep_res_sim true
% 0.19/0.42 % --prep_upred true
% 0.19/0.42 % --res_sim_input true
% 0.19/0.42 % --clause_weak_htbl true
% 0.19/0.42 % --gc_record_bc_elim false
% 0.19/0.42 % --symbol_type_check false
% 0.19/0.42 % --clausify_out false
% 0.19/0.42 % --large_theory_mode false
% 0.19/0.42 % --prep_sem_filter none
% 0.19/0.42 % --prep_sem_filter_out false
% 0.19/0.42 % --preprocessed_out false
% 0.19/0.42 % --sub_typing false
% 0.19/0.42 % --brand_transform false
% 0.19/0.42 % --pure_diseq_elim true
% 0.19/0.42 % --min_unsat_core false
% 0.19/0.42 % --pred_elim true
% 0.19/0.42 % --add_important_lit false
% 0.19/0.42 % --soft_assumptions false
% 0.19/0.42 % --reset_solvers false
% 0.19/0.42 % --bc_imp_inh []
% 0.19/0.42 % --conj_cone_tolerance 1.5
% 0.19/0.42 % --prolific_symb_bound 500
% 0.19/0.42 % --lt_threshold 2000
% 0.19/0.42
% 0.19/0.42 % ------ SAT Options
% 0.19/0.42
% 0.19/0.42 % --sat_mode false
% 0.19/0.42 % --sat_fm_restart_options ""
% 0.19/0.42 % --sat_gr_def false
% 0.19/0.42 % --sat_epr_types true
% 0.19/0.42 % --sat_non_cyclic_types false
% 0.19/0.42 % --sat_finite_models false
% 0.19/0.42 % --sat_fm_lemmas false
% 0.19/0.42 % --sat_fm_prep false
% 0.19/0.42 % --sat_fm_uc_incr true
% 0.19/0.42 % --sat_out_model small
% 0.19/0.42 % --sat_out_clauses false
% 0.19/0.42
% 0.19/0.42 % ------ QBF Options
% 0.19/0.42
% 0.19/0.42 % --qbf_mode false
% 0.19/0.42 % --qbf_elim_univ true
% 0.19/0.42 % --qbf_sk_in true
% 0.19/0.42 % --qbf_pred_elim true
% 0.19/0.42 % --qbf_split 32
% 0.19/0.42
% 0.19/0.42 % ------ BMC1 Options
% 0.19/0.42
% 0.19/0.42 % --bmc1_incremental false
% 0.19/0.42 % --bmc1_axioms reachable_all
% 0.19/0.42 % --bmc1_min_bound 0
% 0.19/0.42 % --bmc1_max_bound -1
% 0.19/0.42 % --bmc1_max_bound_default -1
% 0.19/0.42 % --bmc1_symbol_reachability true
% 0.19/0.42 % --bmc1_property_lemmas false
% 0.19/0.42 % --bmc1_k_induction false
% 0.19/0.42 % --bmc1_non_equiv_states false
% 0.19/0.42 % --bmc1_deadlock false
% 0.19/0.42 % --bmc1_ucm false
% 0.19/0.42 % --bmc1_add_unsat_core none
% 0.19/0.42 % --bmc1_unsat_core_children false
% 0.19/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.42 % --bmc1_out_stat full
% 0.19/0.42 % --bmc1_ground_init false
% 0.19/0.42 % --bmc1_pre_inst_next_state false
% 0.19/0.42 % --bmc1_pre_inst_state false
% 0.19/0.42 % --bmc1_pre_inst_reach_state false
% 0.19/0.42 % --bmc1_out_unsat_core false
% 0.19/0.42 % --bmc1_aig_witness_out false
% 0.19/0.42 % --bmc1_verbose false
% 0.19/0.42 % --bmc1_dump_clauses_tptp false
% 0.19/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.43 % --bmc1_dump_file -
% 0.19/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.43 % --bmc1_ucm_extend_mode 1
% 0.19/0.43 % --bmc1_ucm_init_mode 2
% 0.19/0.43 % --bmc1_ucm_cone_mode none
% 0.19/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.43 % --bmc1_ucm_relax_model 4
% 0.19/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.43 % --bmc1_ucm_layered_model none
% 0.19/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.43
% 0.19/0.43 % ------ AIG Options
% 0.19/0.43
% 0.19/0.43 % --aig_mode false
% 0.19/0.43
% 0.19/0.43 % ------ Instantiation Options
% 0.19/0.43
% 0.19/0.43 % --instantiation_flag true
% 0.19/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.43 % --inst_solver_per_active 750
% 0.19/0.43 % --inst_solver_calls_frac 0.5
% 0.19/0.43 % --inst_passive_queue_type priority_queues
% 0.19/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.43 % --inst_passive_queues_freq [25;2]
% 0.19/0.43 % --inst_dismatching true
% 0.19/0.43 % --inst_eager_unprocessed_to_passive true
% 0.19/0.43 % --inst_prop_sim_given true
% 0.19/0.43 % --inst_prop_sim_new false
% 0.19/0.43 % --inst_orphan_elimination true
% 0.19/0.43 % --inst_learning_loop_flag true
% 0.19/0.43 % --inst_learning_start 3000
% 0.19/0.43 % --inst_learning_factor 2
% 0.19/0.43 % --inst_start_prop_sim_after_learn 3
% 0.19/0.43 % --inst_sel_renew solver
% 0.19/0.43 % --inst_lit_activity_flag true
% 0.19/0.43 % --inst_out_proof true
% 0.19/0.43
% 0.19/0.43 % ------ Resolution Options
% 0.19/0.43
% 0.19/0.43 % --resolution_flag true
% 0.19/0.43 % --res_lit_sel kbo_max
% 0.19/0.43 % --res_to_prop_solver none
% 0.19/0.43 % --res_prop_simpl_new false
% 0.19/0.43 % --res_prop_simpl_given false
% 0.19/0.43 % --res_passive_queue_type priority_queues
% 0.19/0.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.43 % --res_passive_queues_freq [15;5]
% 0.19/0.43 % --res_forward_subs full
% 0.19/0.43 % --res_backward_subs full
% 0.19/0.43 % --res_forward_subs_resolution true
% 0.19/0.43 % --res_backward_subs_resolution true
% 0.19/0.43 % --res_orphan_elimination false
% 0.19/0.43 % --res_time_limit 1000.
% 0.19/0.43 % --res_out_proof true
% 0.19/0.43 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_08a54a.s
% 0.19/0.43 % --modulo true
% 0.19/0.43
% 0.19/0.43 % ------ Combination Options
% 0.19/0.43
% 0.19/0.43 % --comb_res_mult 1000
% 0.19/0.43 % --comb_inst_mult 300
% 0.19/0.43 % ------
% 0.19/0.43
% 0.19/0.43 % ------ Parsing...% successful
% 0.19/0.43
% 0.19/0.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.19/0.43
% 0.19/0.43 % ------ Proving...
% 0.19/0.43 % ------ Problem Properties
% 0.19/0.43
% 0.19/0.43 %
% 0.19/0.43 % EPR false
% 0.19/0.43 % Horn false
% 0.19/0.43 % Has equality false
% 0.19/0.43
% 0.19/0.43 % % ------ Input Options Time Limit: Unbounded
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 % % ------ Current options:
% 0.19/0.43
% 0.19/0.43 % ------ Input Options
% 0.19/0.43
% 0.19/0.43 % --out_options all
% 0.19/0.43 % --tptp_safe_out true
% 0.19/0.43 % --problem_path ""
% 0.19/0.43 % --include_path ""
% 0.19/0.43 % --clausifier .//eprover
% 0.19/0.43 % --clausifier_options --tstp-format
% 0.19/0.43 % --stdin false
% 0.19/0.43 % --dbg_backtrace false
% 0.19/0.43 % --dbg_dump_prop_clauses false
% 0.19/0.43 % --dbg_dump_prop_clauses_file -
% 0.19/0.43 % --dbg_out_stat false
% 0.19/0.43
% 0.19/0.43 % ------ General Options
% 0.19/0.43
% 0.19/0.43 % --fof false
% 0.19/0.43 % --time_out_real 150.
% 0.19/0.43 % --time_out_prep_mult 0.2
% 0.19/0.43 % --time_out_virtual -1.
% 0.19/0.43 % --schedule none
% 0.19/0.43 % --ground_splitting input
% 0.19/0.43 % --splitting_nvd 16
% 0.19/0.43 % --non_eq_to_eq false
% 0.19/0.43 % --prep_gs_sim true
% 0.19/0.43 % --prep_unflatten false
% 0.19/0.43 % --prep_res_sim true
% 0.19/0.43 % --prep_upred true
% 0.19/0.43 % --res_sim_input true
% 0.19/0.43 % --clause_weak_htbl true
% 0.19/0.43 % --gc_record_bc_elim false
% 0.19/0.43 % --symbol_type_check false
% 0.19/0.43 % --clausify_out false
% 0.19/0.43 % --large_theory_mode false
% 0.19/0.43 % --prep_sem_filter none
% 0.19/0.43 % --prep_sem_filter_out false
% 0.19/0.43 % --preprocessed_out false
% 0.19/0.43 % --sub_typing false
% 0.19/0.43 % --brand_transform false
% 0.19/0.43 % --pure_diseq_elim true
% 0.19/0.43 % --min_unsat_core false
% 0.19/0.43 % --pred_elim true
% 0.19/0.43 % --add_important_lit false
% 0.19/0.43 % --soft_assumptions false
% 0.19/0.43 % --reset_solvers false
% 0.19/0.43 % --bc_imp_inh []
% 0.19/0.43 % --conj_cone_tolerance 1.5
% 0.19/0.43 % --prolific_symb_bound 500
% 0.19/0.43 % --lt_threshold 2000
% 0.19/0.43
% 0.19/0.43 % ------ SAT Options
% 0.19/0.43
% 0.19/0.43 % --sat_mode false
% 0.19/0.43 % --sat_fm_restart_options ""
% 0.19/0.43 % --sat_gr_def false
% 0.19/0.43 % --sat_epr_types true
% 0.19/0.43 % --sat_non_cyclic_types false
% 0.19/0.43 % --sat_finite_models false
% 0.19/0.43 % --sat_fm_lemmas false
% 0.19/0.43 % --sat_fm_prep false
% 0.19/0.43 % --sat_fm_uc_incr true
% 0.19/0.43 % --sat_out_model small
% 0.19/0.43 % --sat_out_clauses false
% 0.19/0.43
% 0.19/0.43 % ------ QBF Options
% 0.19/0.43
% 0.19/0.43 % --qbf_mode false
% 0.19/0.43 % --qbf_elim_univ true
% 0.19/0.43 % --qbf_sk_in true
% 0.19/0.43 % --qbf_pred_elim true
% 0.19/0.43 % --qbf_split 32
% 0.19/0.43
% 0.19/0.43 % ------ BMC1 Options
% 0.19/0.43
% 0.19/0.43 % --bmc1_incremental false
% 0.19/0.43 % --bmc1_axioms reachable_all
% 0.19/0.43 % --bmc1_min_bound 0
% 0.19/0.43 % --bmc1_max_bound -1
% 0.19/0.43 % --bmc1_max_bound_default -1
% 0.19/0.43 % --bmc1_symbol_reachability true
% 0.19/0.43 % --bmc1_property_lemmas false
% 0.19/0.43 % --bmc1_k_induction false
% 0.19/0.43 % --bmc1_non_equiv_states false
% 0.19/0.43 % --bmc1_deadlock false
% 0.19/0.43 % --bmc1_ucm false
% 0.19/0.43 % --bmc1_add_unsat_core none
% 0.19/0.43 % --bmc1_unsat_core_children false
% 0.19/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.43 % --bmc1_out_stat full
% 0.19/0.43 % --bmc1_ground_init false
% 0.19/0.43 % --bmc1_pre_inst_next_state false
% 0.19/0.43 % --bmc1_pre_inst_state false
% 0.19/0.43 % --bmc1_pre_inst_reach_state false
% 0.19/0.43 % --bmc1_out_unsat_core false
% 0.19/0.43 % --bmc1_aig_witness_out false
% 0.19/0.43 % --bmc1_verbose false
% 0.19/0.43 % --bmc1_dump_clauses_tptp false
% 0.19/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.43 % --bmc1_dump_file -
% 0.19/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.43 % --bmc1_ucm_extend_mode 1
% 0.19/0.43 % --bmc1_ucm_init_mode 2
% 0.19/0.43 % --bmc1_ucm_cone_mode none
% 0.19/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.43 % --bmc1_ucm_relax_model 4
% 0.19/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.43 % --bmc1_ucm_layered_model none
% 0.19/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.43
% 0.19/0.43 % ------ AIG Options
% 0.19/0.43
% 0.19/0.43 % --aig_mode false
% 0.19/0.43
% 0.19/0.43 % ------ Instantiation Options
% 0.19/0.43
% 0.19/0.43 % --instantiation_flag true
% 0.19/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.43 % --inst_solver_per_active 750
% 0.19/0.43 % --inst_solver_calls_frac 0.5
% 0.19/0.43 % --inst_passive_queue_type priority_queues
% 0.19/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.43 % --inst_passive_queues_freq [25;2]
% 0.19/0.43 % --inst_dismatching true
% 0.19/0.43 % --inst_eager_unprocessed_to_passive true
% 0.19/0.43 % --inst_prop_sim_given true
% 0.81/1.03 % --inst_prop_sim_new false
% 0.81/1.03 % --inst_orphan_elimination true
% 0.81/1.03 % --inst_learning_loop_flag true
% 0.81/1.03 % --inst_learning_start 3000
% 0.81/1.03 % --inst_learning_factor 2
% 0.81/1.03 % --inst_start_prop_sim_after_learn 3
% 0.81/1.03 % --inst_sel_renew solver
% 0.81/1.03 % --inst_lit_activity_flag true
% 0.81/1.03 % --inst_out_proof true
% 0.81/1.03
% 0.81/1.03 % ------ Resolution Options
% 0.81/1.03
% 0.81/1.03 % --resolution_flag true
% 0.81/1.03 % --res_lit_sel kbo_max
% 0.81/1.03 % --res_to_prop_solver none
% 0.81/1.03 % --res_prop_simpl_new false
% 0.81/1.03 % --res_prop_simpl_given false
% 0.81/1.03 % --res_passive_queue_type priority_queues
% 0.81/1.03 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.81/1.03 % --res_passive_queues_freq [15;5]
% 0.81/1.03 % --res_forward_subs full
% 0.81/1.03 % --res_backward_subs full
% 0.81/1.03 % --res_forward_subs_resolution true
% 0.81/1.03 % --res_backward_subs_resolution true
% 0.81/1.03 % --res_orphan_elimination false
% 0.81/1.03 % --res_time_limit 1000.
% 0.81/1.03 % --res_out_proof true
% 0.81/1.03 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_08a54a.s
% 0.81/1.03 % --modulo true
% 0.81/1.03
% 0.81/1.03 % ------ Combination Options
% 0.81/1.03
% 0.81/1.03 % --comb_res_mult 1000
% 0.81/1.03 % --comb_inst_mult 300
% 0.81/1.03 % ------
% 0.81/1.03
% 0.81/1.03
% 0.81/1.03
% 0.81/1.03 % ------ Proving...
% 0.81/1.03 %
% 0.81/1.03
% 0.81/1.03
% 0.81/1.03 % ------ Statistics
% 0.81/1.03
% 0.81/1.03 % ------ General
% 0.81/1.03
% 0.81/1.03 % num_of_input_clauses: 22
% 0.81/1.03 % num_of_input_neg_conjectures: 3
% 0.81/1.03 % num_of_splits: 0
% 0.81/1.03 % num_of_split_atoms: 0
% 0.81/1.03 % num_of_sem_filtered_clauses: 0
% 0.81/1.03 % num_of_subtypes: 0
% 0.81/1.03 % monotx_restored_types: 0
% 0.81/1.03 % sat_num_of_epr_types: 0
% 0.81/1.03 % sat_num_of_non_cyclic_types: 0
% 0.81/1.03 % sat_guarded_non_collapsed_types: 0
% 0.81/1.03 % is_epr: 0
% 0.81/1.03 % is_horn: 0
% 0.81/1.03 % has_eq: 0
% 0.81/1.03 % num_pure_diseq_elim: 0
% 0.81/1.03 % simp_replaced_by: 0
% 0.81/1.03 % res_preprocessed: 6
% 0.81/1.03 % prep_upred: 0
% 0.81/1.03 % prep_unflattend: 0
% 0.81/1.03 % pred_elim_cands: 0
% 0.81/1.03 % pred_elim: 0
% 0.81/1.03 % pred_elim_cl: 0
% 0.81/1.03 % pred_elim_cycles: 0
% 0.81/1.03 % forced_gc_time: 0
% 0.81/1.03 % gc_basic_clause_elim: 0
% 0.81/1.03 % parsing_time: 0.001
% 0.81/1.03 % sem_filter_time: 0.
% 0.81/1.03 % pred_elim_time: 0.
% 0.81/1.03 % out_proof_time: 0.
% 0.81/1.03 % monotx_time: 0.
% 0.81/1.03 % subtype_inf_time: 0.
% 0.81/1.03 % unif_index_cands_time: 0.002
% 0.81/1.03 % unif_index_add_time: 0.001
% 0.81/1.03 % total_time: 0.627
% 0.81/1.03 % num_of_symbols: 34
% 0.81/1.03 % num_of_terms: 789
% 0.81/1.03
% 0.81/1.03 % ------ Propositional Solver
% 0.81/1.03
% 0.81/1.03 % prop_solver_calls: 9
% 0.81/1.03 % prop_fast_solver_calls: 12
% 0.81/1.03 % prop_num_of_clauses: 172
% 0.81/1.03 % prop_preprocess_simplified: 424
% 0.81/1.03 % prop_fo_subsumed: 0
% 0.81/1.03 % prop_solver_time: 0.
% 0.81/1.03 % prop_fast_solver_time: 0.
% 0.81/1.03 % prop_unsat_core_time: 0.
% 0.81/1.03
% 0.81/1.03 % ------ QBF
% 0.81/1.03
% 0.81/1.03 % qbf_q_res: 0
% 0.81/1.03 % qbf_num_tautologies: 0
% 0.81/1.03 % qbf_prep_cycles: 0
% 0.81/1.03
% 0.81/1.03 % ------ BMC1
% 0.81/1.03
% 0.81/1.03 % bmc1_current_bound: -1
% 0.81/1.03 % bmc1_last_solved_bound: -1
% 0.81/1.03 % bmc1_unsat_core_size: -1
% 0.81/1.03 % bmc1_unsat_core_parents_size: -1
% 0.81/1.03 % bmc1_merge_next_fun: 0
% 0.81/1.03 % bmc1_unsat_core_clauses_time: 0.
% 0.81/1.03
% 0.81/1.03 % ------ Instantiation
% 0.81/1.03
% 0.81/1.03 % inst_num_of_clauses: 152
% 0.81/1.03 % inst_num_in_passive: 42
% 0.81/1.03 % inst_num_in_active: 98
% 0.81/1.03 % inst_num_in_unprocessed: 5
% 0.81/1.03 % inst_num_of_loops: 134
% 0.81/1.03 % inst_num_of_learning_restarts: 0
% 0.81/1.03 % inst_num_moves_active_passive: 26
% 0.81/1.03 % inst_lit_activity: 36
% 0.81/1.03 % inst_lit_activity_moves: 0
% 0.81/1.03 % inst_num_tautologies: 5
% 0.81/1.03 % inst_num_prop_implied: 0
% 0.81/1.03 % inst_num_existing_simplified: 0
% 0.81/1.03 % inst_num_eq_res_simplified: 0
% 0.81/1.03 % inst_num_child_elim: 0
% 0.81/1.03 % inst_num_of_dismatching_blockings: 34
% 0.81/1.03 % inst_num_of_non_proper_insts: 295
% 0.81/1.03 % inst_num_of_duplicates: 126
% 0.81/1.03 % inst_inst_num_from_inst_to_res: 0
% 0.81/1.03 % inst_dismatching_checking_time: 0.
% 0.81/1.03
% 0.81/1.03 % ------ Resolution
% 0.81/1.03
% 0.81/1.03 % res_num_of_clauses: 7454
% 0.81/1.03 % res_num_in_passive: 7175
% 0.81/1.03 % res_num_in_active: 366
% 0.81/1.03 % res_num_of_loops: 1000
% 0.81/1.03 % res_forward_subset_subsumed: 4994
% 0.81/1.03 % res_backward_subset_subsumed: 131
% 0.81/1.03 % res_forward_subsumed: 583
% 0.81/1.03 % res_backward_subsumed: 19
% 0.81/1.03 % res_forward_subsumption_resolution: 86
% 0.81/1.03 % res_backward_subsumption_resolution: 1
% 0.81/1.03 % res_clause_to_clause_subsumption: 53232
% 0.81/1.03 % res_orphan_elimination: 0
% 0.81/1.03 % res_tautology_del: 239
% 0.81/1.03 % res_num_eq_res_simplified: 0
% 0.81/1.03 % res_num_sel_changes: 0
% 0.81/1.03 % res_moves_from_active_to_pass: 0
% 0.81/1.03
% 0.81/1.03 % Status Unsatisfiable
% 0.81/1.03 % SZS status Theorem
% 0.81/1.03 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------