TSTP Solution File: GRP029-2 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GRP029-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n013.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 09:44:21 EDT 2022
% Result : Unsatisfiable 5.98s 6.15s
% Output : CNFRefutation 5.98s
% 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
cnf(left_inverse,axiom,
product(inverse(A),A,identity),
input ).
fof(left_inverse_0,plain,
! [A] :
( product(inverse(A),A,identity)
| $false ),
inference(orientation,[status(thm)],[left_inverse]) ).
cnf(left_identity,axiom,
product(identity,A,A),
input ).
fof(left_identity_0,plain,
! [A] :
( product(identity,A,A)
| $false ),
inference(orientation,[status(thm)],[left_identity]) ).
cnf(total_function1,axiom,
product(X,Y,multiply(X,Y)),
input ).
fof(total_function1_0,plain,
! [X,Y] :
( product(X,Y,multiply(X,Y))
| $false ),
inference(orientation,[status(thm)],[total_function1]) ).
cnf(reflexivity,axiom,
equalish(X,X),
input ).
fof(reflexivity_0,plain,
! [X] :
( equalish(X,X)
| $false ),
inference(orientation,[status(thm)],[reflexivity]) ).
fof(def_lhs_atom1,axiom,
! [X] :
( lhs_atom1(X)
<=> equalish(X,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [X] :
( lhs_atom1(X)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [Y,X] :
( lhs_atom2(Y,X)
<=> product(X,Y,multiply(X,Y)) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [X,Y] :
( lhs_atom2(Y,X)
| $false ),
inference(fold_definition,[status(thm)],[total_function1_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [A] :
( lhs_atom3(A)
<=> product(identity,A,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [A] :
( lhs_atom3(A)
| $false ),
inference(fold_definition,[status(thm)],[left_identity_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [A] :
( lhs_atom4(A)
<=> product(inverse(A),A,identity) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [A] :
( lhs_atom4(A)
| $false ),
inference(fold_definition,[status(thm)],[left_inverse_0,def_lhs_atom4]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X2,X1] :
( lhs_atom2(X2,X1)
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_1,axiom,
! [X3] :
( lhs_atom4(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_2,axiom,
! [X3] :
( lhs_atom3(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_3,axiom,
! [X1] :
( lhs_atom1(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_4,plain,
! [X2,X1] : lhs_atom2(X2,X1),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_5,plain,
! [X3] : lhs_atom4(X3),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_6,plain,
! [X3] : lhs_atom3(X3),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_7,plain,
! [X1] : lhs_atom1(X1),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_8,plain,
! [X3,X4] : lhs_atom2(X3,X4),
inference(variable_rename,[status(thm)],[c_0_4]) ).
fof(c_0_9,plain,
! [X4] : lhs_atom4(X4),
inference(variable_rename,[status(thm)],[c_0_5]) ).
fof(c_0_10,plain,
! [X4] : lhs_atom3(X4),
inference(variable_rename,[status(thm)],[c_0_6]) ).
fof(c_0_11,plain,
! [X2] : lhs_atom1(X2),
inference(variable_rename,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
lhs_atom2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
lhs_atom4(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
lhs_atom3(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
lhs_atom1(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
lhs_atom2(X1,X2),
c_0_12,
[final] ).
cnf(c_0_17,plain,
lhs_atom4(X1),
c_0_13,
[final] ).
cnf(c_0_18,plain,
lhs_atom3(X1),
c_0_14,
[final] ).
cnf(c_0_19,plain,
lhs_atom1(X1),
c_0_15,
[final] ).
% End CNF derivation
cnf(c_0_16_0,axiom,
product(X2,X1,multiply(X2,X1)),
inference(unfold_definition,[status(thm)],[c_0_16,def_lhs_atom2]) ).
cnf(c_0_17_0,axiom,
product(inverse(X1),X1,identity),
inference(unfold_definition,[status(thm)],[c_0_17,def_lhs_atom4]) ).
cnf(c_0_18_0,axiom,
product(identity,X1,X1),
inference(unfold_definition,[status(thm)],[c_0_18,def_lhs_atom3]) ).
cnf(c_0_19_0,axiom,
equalish(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_19,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,X5,X6] :
( ~ product(X3,X2,X6)
| ~ product(X2,X1,X5)
| ~ product(X6,X1,X4)
| product(X3,X5,X4) ),
file('<stdin>',associativity1) ).
fof(c_0_1_002,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ~ product(X3,X2,X6)
| ~ product(X2,X1,X5)
| ~ product(X3,X5,X4)
| product(X6,X1,X4) ),
file('<stdin>',associativity2) ).
fof(c_0_2_003,axiom,
! [X1,X2,X3,X4] :
( ~ product(X3,X2,X1)
| ~ product(X3,X2,X4)
| equalish(X1,X4) ),
file('<stdin>',total_function2) ).
fof(c_0_3_004,axiom,
! [X1,X2,X3,X4] :
( ~ equalish(X3,X2)
| ~ product(X3,X4,X1)
| product(X2,X4,X1) ),
file('<stdin>',product_substitution1) ).
fof(c_0_4_005,axiom,
! [X1,X2,X3,X4] :
( ~ equalish(X3,X2)
| ~ product(X4,X3,X1)
| product(X4,X2,X1) ),
file('<stdin>',product_substitution2) ).
fof(c_0_5_006,axiom,
! [X1,X2,X3,X4] :
( ~ equalish(X3,X2)
| ~ product(X4,X1,X3)
| product(X4,X1,X2) ),
file('<stdin>',product_substitution3) ).
fof(c_0_6_007,axiom,
! [X2,X3,X4] :
( ~ equalish(X3,X2)
| equalish(multiply(X3,X4),multiply(X2,X4)) ),
file('<stdin>',multiply_substitution1) ).
fof(c_0_7_008,axiom,
! [X2,X3,X4] :
( ~ equalish(X3,X2)
| equalish(multiply(X4,X3),multiply(X4,X2)) ),
file('<stdin>',multiply_substitution2) ).
fof(c_0_8_009,axiom,
! [X1,X2,X3] :
( ~ equalish(X3,X2)
| ~ equalish(X2,X1)
| equalish(X3,X1) ),
file('<stdin>',transitivity) ).
fof(c_0_9_010,axiom,
! [X2,X3] :
( ~ equalish(X3,X2)
| equalish(inverse(X3),inverse(X2)) ),
file('<stdin>',inverse_substitution) ).
fof(c_0_10_011,axiom,
! [X2,X3] :
( ~ equalish(X3,X2)
| equalish(X2,X3) ),
file('<stdin>',symmetry) ).
fof(c_0_11_012,plain,
! [X1,X2,X3,X4,X5,X6] :
( ~ product(X3,X2,X6)
| ~ product(X2,X1,X5)
| ~ product(X6,X1,X4)
| product(X3,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_12_013,plain,
! [X1,X2,X3,X4,X5,X6] :
( ~ product(X3,X2,X6)
| ~ product(X2,X1,X5)
| ~ product(X3,X5,X4)
| product(X6,X1,X4) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_13_014,plain,
! [X1,X2,X3,X4] :
( ~ product(X3,X2,X1)
| ~ product(X3,X2,X4)
| equalish(X1,X4) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_14_015,plain,
! [X1,X2,X3,X4] :
( ~ equalish(X3,X2)
| ~ product(X3,X4,X1)
| product(X2,X4,X1) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_15_016,plain,
! [X1,X2,X3,X4] :
( ~ equalish(X3,X2)
| ~ product(X4,X3,X1)
| product(X4,X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_16_017,plain,
! [X1,X2,X3,X4] :
( ~ equalish(X3,X2)
| ~ product(X4,X1,X3)
| product(X4,X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_17_018,plain,
! [X2,X3,X4] :
( ~ equalish(X3,X2)
| equalish(multiply(X3,X4),multiply(X2,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_18_019,plain,
! [X2,X3,X4] :
( ~ equalish(X3,X2)
| equalish(multiply(X4,X3),multiply(X4,X2)) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_19_020,plain,
! [X1,X2,X3] :
( ~ equalish(X3,X2)
| ~ equalish(X2,X1)
| equalish(X3,X1) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_20,plain,
! [X2,X3] :
( ~ equalish(X3,X2)
| equalish(inverse(X3),inverse(X2)) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_21,plain,
! [X2,X3] :
( ~ equalish(X3,X2)
| equalish(X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_22,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ product(X9,X8,X12)
| ~ product(X8,X7,X11)
| ~ product(X12,X7,X10)
| product(X9,X11,X10) ),
inference(variable_rename,[status(thm)],[c_0_11]) ).
fof(c_0_23,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ product(X9,X8,X12)
| ~ product(X8,X7,X11)
| ~ product(X9,X11,X10)
| product(X12,X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_12]) ).
fof(c_0_24,plain,
! [X5,X6,X7,X8] :
( ~ product(X7,X6,X5)
| ~ product(X7,X6,X8)
| equalish(X5,X8) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_13])])]) ).
fof(c_0_25,plain,
! [X5,X6,X7,X8] :
( ~ equalish(X7,X6)
| ~ product(X7,X8,X5)
| product(X6,X8,X5) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_14])])]) ).
fof(c_0_26,plain,
! [X5,X6,X7,X8] :
( ~ equalish(X7,X6)
| ~ product(X8,X7,X5)
| product(X8,X6,X5) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_15])])]) ).
fof(c_0_27,plain,
! [X5,X6,X7,X8] :
( ~ equalish(X7,X6)
| ~ product(X8,X5,X7)
| product(X8,X5,X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_16])])]) ).
fof(c_0_28,plain,
! [X5,X6,X7] :
( ~ equalish(X6,X5)
| equalish(multiply(X6,X7),multiply(X5,X7)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_17])])]) ).
fof(c_0_29,plain,
! [X5,X6,X7] :
( ~ equalish(X6,X5)
| equalish(multiply(X7,X6),multiply(X7,X5)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_18])])]) ).
fof(c_0_30,plain,
! [X4,X5,X6] :
( ~ equalish(X6,X5)
| ~ equalish(X5,X4)
| equalish(X6,X4) ),
inference(variable_rename,[status(thm)],[c_0_19]) ).
fof(c_0_31,plain,
! [X4,X5] :
( ~ equalish(X5,X4)
| equalish(inverse(X5),inverse(X4)) ),
inference(variable_rename,[status(thm)],[c_0_20]) ).
fof(c_0_32,plain,
! [X4,X5] :
( ~ equalish(X5,X4)
| equalish(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
( product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X5,X2)
| ~ product(X1,X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
( product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X5)
| ~ product(X4,X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,plain,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,plain,
( product(X1,X2,X3)
| ~ product(X4,X2,X3)
| ~ equalish(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,plain,
( product(X1,X2,X3)
| ~ product(X1,X4,X3)
| ~ equalish(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
( product(X1,X2,X3)
| ~ product(X1,X2,X4)
| ~ equalish(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,plain,
( equalish(multiply(X1,X2),multiply(X3,X2))
| ~ equalish(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,plain,
( equalish(multiply(X1,X2),multiply(X1,X3))
| ~ equalish(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_41,plain,
( equalish(X1,X2)
| ~ equalish(X3,X2)
| ~ equalish(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,plain,
( equalish(inverse(X1),inverse(X2))
| ~ equalish(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,plain,
( product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X5,X2)
| ~ product(X1,X6,X4) ),
c_0_33,
[final] ).
cnf(c_0_45,plain,
( product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X5)
| ~ product(X4,X6,X1) ),
c_0_34,
[final] ).
cnf(c_0_46,plain,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
c_0_35,
[final] ).
cnf(c_0_47,plain,
( product(X1,X2,X3)
| ~ product(X4,X2,X3)
| ~ equalish(X4,X1) ),
c_0_36,
[final] ).
cnf(c_0_48,plain,
( product(X1,X2,X3)
| ~ product(X1,X4,X3)
| ~ equalish(X4,X2) ),
c_0_37,
[final] ).
cnf(c_0_49,plain,
( product(X1,X2,X3)
| ~ product(X1,X2,X4)
| ~ equalish(X4,X3) ),
c_0_38,
[final] ).
cnf(c_0_50,plain,
( equalish(multiply(X1,X2),multiply(X3,X2))
| ~ equalish(X1,X3) ),
c_0_39,
[final] ).
cnf(c_0_51,plain,
( equalish(multiply(X1,X2),multiply(X1,X3))
| ~ equalish(X2,X3) ),
c_0_40,
[final] ).
cnf(c_0_52,plain,
( equalish(X1,X2)
| ~ equalish(X3,X2)
| ~ equalish(X1,X3) ),
c_0_41,
[final] ).
cnf(c_0_53,plain,
( equalish(inverse(X1),inverse(X2))
| ~ equalish(X1,X2) ),
c_0_42,
[final] ).
cnf(c_0_54,plain,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
c_0_43,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_44_0,axiom,
( product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X5,X2)
| ~ product(X1,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_1,axiom,
( ~ product(X4,X5,X3)
| product(X1,X2,X3)
| ~ product(X6,X5,X2)
| ~ product(X1,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_2,axiom,
( ~ product(X6,X5,X2)
| ~ product(X4,X5,X3)
| product(X1,X2,X3)
| ~ product(X1,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_3,axiom,
( ~ product(X1,X6,X4)
| ~ product(X6,X5,X2)
| ~ product(X4,X5,X3)
| product(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_45_0,axiom,
( product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X5)
| ~ product(X4,X6,X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_1,axiom,
( ~ product(X4,X5,X3)
| product(X1,X2,X3)
| ~ product(X6,X2,X5)
| ~ product(X4,X6,X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_2,axiom,
( ~ product(X6,X2,X5)
| ~ product(X4,X5,X3)
| product(X1,X2,X3)
| ~ product(X4,X6,X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_3,axiom,
( ~ product(X4,X6,X1)
| ~ product(X6,X2,X5)
| ~ product(X4,X5,X3)
| product(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_46_0,axiom,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_1,axiom,
( ~ product(X3,X4,X2)
| equalish(X1,X2)
| ~ product(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_2,axiom,
( ~ product(X3,X4,X1)
| ~ product(X3,X4,X2)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_47_0,axiom,
( product(X1,X2,X3)
| ~ product(X4,X2,X3)
| ~ equalish(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_1,axiom,
( ~ product(X4,X2,X3)
| product(X1,X2,X3)
| ~ equalish(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_2,axiom,
( ~ equalish(X4,X1)
| ~ product(X4,X2,X3)
| product(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_48_0,axiom,
( product(X1,X2,X3)
| ~ product(X1,X4,X3)
| ~ equalish(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_1,axiom,
( ~ product(X1,X4,X3)
| product(X1,X2,X3)
| ~ equalish(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_2,axiom,
( ~ equalish(X4,X2)
| ~ product(X1,X4,X3)
| product(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_49_0,axiom,
( product(X1,X2,X3)
| ~ product(X1,X2,X4)
| ~ equalish(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_1,axiom,
( ~ product(X1,X2,X4)
| product(X1,X2,X3)
| ~ equalish(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_2,axiom,
( ~ equalish(X4,X3)
| ~ product(X1,X2,X4)
| product(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_50_0,axiom,
( equalish(multiply(X1,X2),multiply(X3,X2))
| ~ equalish(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_1,axiom,
( ~ equalish(X1,X3)
| equalish(multiply(X1,X2),multiply(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_51_0,axiom,
( equalish(multiply(X1,X2),multiply(X1,X3))
| ~ equalish(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_1,axiom,
( ~ equalish(X2,X3)
| equalish(multiply(X1,X2),multiply(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_52_0,axiom,
( equalish(X1,X2)
| ~ equalish(X3,X2)
| ~ equalish(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_1,axiom,
( ~ equalish(X3,X2)
| equalish(X1,X2)
| ~ equalish(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_2,axiom,
( ~ equalish(X1,X3)
| ~ equalish(X3,X2)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_53_0,axiom,
( equalish(inverse(X1),inverse(X2))
| ~ equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_53_1,axiom,
( ~ equalish(X1,X2)
| equalish(inverse(X1),inverse(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_54_0,axiom,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_54_1,axiom,
( ~ equalish(X2,X1)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_021,negated_conjecture,
! [X1] : ~ product(not_right_identity(X1),X1,not_right_identity(X1)),
file('<stdin>',prove_there_is_a_right_identity) ).
fof(c_0_1_022,negated_conjecture,
! [X1] : ~ product(not_right_identity(X1),X1,not_right_identity(X1)),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2_023,negated_conjecture,
! [X2] : ~ product(not_right_identity(X2),X2,not_right_identity(X2)),
inference(variable_rename,[status(thm)],[c_0_1]) ).
cnf(c_0_3_024,negated_conjecture,
~ product(not_right_identity(X1),X1,not_right_identity(X1)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_025,negated_conjecture,
~ product(not_right_identity(X1),X1,not_right_identity(X1)),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_35,negated_conjecture,
~ product(not_right_identity(X0),X0,not_right_identity(X0)),
file('/export/starexec/sandbox/tmp/iprover_modulo_c622a1.p',c_0_4) ).
cnf(c_43,negated_conjecture,
~ product(not_right_identity(X0),X0,not_right_identity(X0)),
inference(copy,[status(esa)],[c_35]) ).
cnf(c_47,negated_conjecture,
~ product(not_right_identity(X0),X0,not_right_identity(X0)),
inference(copy,[status(esa)],[c_43]) ).
cnf(c_48,negated_conjecture,
~ product(not_right_identity(X0),X0,not_right_identity(X0)),
inference(copy,[status(esa)],[c_47]) ).
cnf(c_49,negated_conjecture,
~ product(not_right_identity(X0),X0,not_right_identity(X0)),
inference(copy,[status(esa)],[c_48]) ).
cnf(c_156,plain,
~ product(not_right_identity(X0),X0,not_right_identity(X0)),
inference(copy,[status(esa)],[c_49]) ).
cnf(c_4,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_c622a1.p',c_0_45_0) ).
cnf(c_94,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
inference(copy,[status(esa)],[c_4]) ).
cnf(c_160,plain,
( ~ product(X0,X1,not_right_identity(X2))
| ~ product(X0,X3,not_right_identity(X2))
| ~ product(X1,X2,X3) ),
inference(resolution,[status(thm)],[c_156,c_94]) ).
cnf(c_161,plain,
( ~ product(X0,X1,not_right_identity(X2))
| ~ product(X0,X3,not_right_identity(X2))
| ~ product(X1,X2,X3) ),
inference(rewriting,[status(thm)],[c_160]) ).
cnf(c_0,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_c622a1.p',c_0_44_0) ).
cnf(c_86,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
inference(copy,[status(esa)],[c_0]) ).
cnf(c_178,plain,
( ~ product(X0,X1,not_right_identity(X2))
| ~ product(X0,X3,not_right_identity(X2))
| ~ product(X1,X4,X5)
| ~ product(X4,X6,X2)
| ~ product(X5,X6,X3) ),
inference(resolution,[status(thm)],[c_161,c_86]) ).
cnf(c_179,plain,
( ~ product(X0,X1,not_right_identity(X2))
| ~ product(X0,X3,not_right_identity(X2))
| ~ product(X1,X4,X5)
| ~ product(X4,X6,X2)
| ~ product(X5,X6,X3) ),
inference(rewriting,[status(thm)],[c_178]) ).
cnf(c_338,plain,
( ~ product(X0,X1,not_right_identity(X2))
| ~ product(X0,X3,not_right_identity(X2))
| ~ product(X1,X4,X5)
| ~ product(X4,X6,X2)
| ~ product(X5,X7,X8)
| ~ product(X7,X9,X6)
| ~ product(X8,X9,X3) ),
inference(resolution,[status(thm)],[c_179,c_86]) ).
cnf(c_339,plain,
( ~ product(X0,X1,not_right_identity(X2))
| ~ product(X0,X3,not_right_identity(X2))
| ~ product(X1,X4,X5)
| ~ product(X4,X6,X2)
| ~ product(X5,X7,X8)
| ~ product(X7,X9,X6)
| ~ product(X8,X9,X3) ),
inference(rewriting,[status(thm)],[c_338]) ).
cnf(c_33,plain,
product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/tmp/iprover_modulo_c622a1.p',c_0_17_0) ).
cnf(c_152,plain,
product(inverse(X0),X0,identity),
inference(copy,[status(esa)],[c_33]) ).
cnf(c_1108,plain,
( ~ product(X0,identity,not_right_identity(X1))
| ~ product(X2,X3,inverse(X4))
| ~ product(X0,X5,not_right_identity(X1))
| ~ product(X5,X6,X2)
| ~ product(X6,X7,X1)
| ~ product(X3,X4,X7) ),
inference(resolution,[status(thm)],[c_339,c_152]) ).
cnf(c_1109,plain,
( ~ product(X0,identity,not_right_identity(X1))
| ~ product(X2,X3,inverse(X4))
| ~ product(X0,X5,not_right_identity(X1))
| ~ product(X5,X6,X2)
| ~ product(X6,X7,X1)
| ~ product(X3,X4,X7) ),
inference(rewriting,[status(thm)],[c_1108]) ).
cnf(c_3818,plain,
( ~ product(X0,inverse(X1),inverse(X1))
| ~ product(X2,identity,not_right_identity(X3))
| ~ product(X4,identity,X3)
| ~ product(X2,X5,not_right_identity(X3))
| ~ product(X5,X4,X0) ),
inference(resolution,[status(thm)],[c_1109,c_152]) ).
cnf(c_3819,plain,
( ~ product(X0,inverse(X1),inverse(X1))
| ~ product(X2,identity,not_right_identity(X3))
| ~ product(X4,identity,X3)
| ~ product(X2,X5,not_right_identity(X3))
| ~ product(X5,X4,X0) ),
inference(rewriting,[status(thm)],[c_3818]) ).
cnf(c_32,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox/tmp/iprover_modulo_c622a1.p',c_0_18_0) ).
cnf(c_150,plain,
product(identity,X0,X0),
inference(copy,[status(esa)],[c_32]) ).
cnf(c_11058,plain,
( ~ product(X0,inverse(X1),inverse(X1))
| ~ product(X2,identity,not_right_identity(X3))
| ~ product(X0,identity,X3) ),
inference(resolution,[status(thm)],[c_3819,c_150]) ).
cnf(c_11059,plain,
( ~ product(X0,inverse(X1),inverse(X1))
| ~ product(X2,identity,not_right_identity(X3))
| ~ product(X0,identity,X3) ),
inference(rewriting,[status(thm)],[c_11058]) ).
cnf(c_27316,plain,
( ~ product(identity,inverse(X0),inverse(X0))
| ~ product(X1,identity,not_right_identity(identity)) ),
inference(resolution,[status(thm)],[c_11059,c_150]) ).
cnf(c_27317,plain,
( ~ product(identity,inverse(X0),inverse(X0))
| ~ product(X1,identity,not_right_identity(identity)) ),
inference(rewriting,[status(thm)],[c_27316]) ).
cnf(c_205614,plain,
~ product(X0,identity,not_right_identity(identity)),
inference(forward_subsumption_resolution,[status(thm)],[c_27317,c_150]) ).
cnf(c_205615,plain,
~ product(X0,identity,not_right_identity(identity)),
inference(rewriting,[status(thm)],[c_205614]) ).
cnf(c_205619,plain,
( ~ product(X0,X1,identity)
| ~ product(X2,X1,not_right_identity(identity))
| ~ product(X3,X0,X2) ),
inference(resolution,[status(thm)],[c_205615,c_86]) ).
cnf(c_205620,plain,
( ~ product(X0,X1,identity)
| ~ product(X2,X1,not_right_identity(identity))
| ~ product(X3,X0,X2) ),
inference(rewriting,[status(thm)],[c_205619]) ).
cnf(c_205779,plain,
( ~ product(identity,X0,not_right_identity(identity))
| ~ product(X1,X0,identity) ),
inference(resolution,[status(thm)],[c_205620,c_152]) ).
cnf(c_205780,plain,
( ~ product(identity,X0,not_right_identity(identity))
| ~ product(X1,X0,identity) ),
inference(rewriting,[status(thm)],[c_205779]) ).
cnf(c_205953,plain,
~ product(identity,X0,not_right_identity(identity)),
inference(resolution,[status(thm)],[c_205780,c_152]) ).
cnf(c_205954,plain,
~ product(identity,X0,not_right_identity(identity)),
inference(rewriting,[status(thm)],[c_205953]) ).
cnf(c_205967,plain,
$false,
inference(resolution,[status(thm)],[c_205954,c_150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP029-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 02:50:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.19/0.39 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.39 % Orientation found
% 0.19/0.39 % 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_4ac1d3.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_c622a1.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_24696f | 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
% 0.19/0.42 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.42 % --bmc1_dump_file -
% 0.19/0.42 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.42 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.42 % --bmc1_ucm_extend_mode 1
% 0.19/0.42 % --bmc1_ucm_init_mode 2
% 0.19/0.42 % --bmc1_ucm_cone_mode none
% 0.19/0.42 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.42 % --bmc1_ucm_relax_model 4
% 0.19/0.42 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.42 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.42 % --bmc1_ucm_layered_model none
% 0.19/0.42 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.42
% 0.19/0.42 % ------ AIG Options
% 0.19/0.42
% 0.19/0.42 % --aig_mode false
% 0.19/0.42
% 0.19/0.42 % ------ Instantiation Options
% 0.19/0.42
% 0.19/0.42 % --instantiation_flag true
% 0.19/0.42 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.42 % --inst_solver_per_active 750
% 0.19/0.42 % --inst_solver_calls_frac 0.5
% 0.19/0.42 % --inst_passive_queue_type priority_queues
% 0.19/0.42 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.42 % --inst_passive_queues_freq [25;2]
% 0.19/0.42 % --inst_dismatching true
% 0.19/0.42 % --inst_eager_unprocessed_to_passive true
% 0.19/0.42 % --inst_prop_sim_given true
% 0.19/0.42 % --inst_prop_sim_new false
% 0.19/0.42 % --inst_orphan_elimination true
% 0.19/0.42 % --inst_learning_loop_flag true
% 0.19/0.42 % --inst_learning_start 3000
% 0.19/0.42 % --inst_learning_factor 2
% 0.19/0.42 % --inst_start_prop_sim_after_learn 3
% 0.19/0.42 % --inst_sel_renew solver
% 0.19/0.42 % --inst_lit_activity_flag true
% 0.19/0.42 % --inst_out_proof true
% 0.19/0.42
% 0.19/0.42 % ------ Resolution Options
% 0.19/0.42
% 0.19/0.42 % --resolution_flag true
% 0.19/0.42 % --res_lit_sel kbo_max
% 0.19/0.42 % --res_to_prop_solver none
% 0.19/0.42 % --res_prop_simpl_new false
% 0.19/0.42 % --res_prop_simpl_given false
% 0.19/0.42 % --res_passive_queue_type priority_queues
% 0.19/0.42 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.42 % --res_passive_queues_freq [15;5]
% 0.19/0.42 % --res_forward_subs full
% 0.19/0.42 % --res_backward_subs full
% 0.19/0.42 % --res_forward_subs_resolution true
% 0.19/0.42 % --res_backward_subs_resolution true
% 0.19/0.42 % --res_orphan_elimination false
% 0.19/0.42 % --res_time_limit 1000.
% 0.19/0.42 % --res_out_proof true
% 0.19/0.42 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_4ac1d3.s
% 0.19/0.42 % --modulo true
% 0.19/0.42
% 0.19/0.42 % ------ Combination Options
% 0.19/0.42
% 0.19/0.42 % --comb_res_mult 1000
% 0.19/0.42 % --comb_inst_mult 300
% 0.19/0.42 % ------
% 0.19/0.42
% 0.19/0.42 % ------ Parsing...% successful
% 0.19/0.42
% 0.19/0.42 % ------ 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 %
% 0.19/0.42
% 0.19/0.42 % ------ Proving...
% 0.19/0.42 % ------ Problem Properties
% 0.19/0.42
% 0.19/0.42 %
% 0.19/0.42 % EPR false
% 0.19/0.42 % Horn true
% 0.19/0.42 % Has equality false
% 0.19/0.42
% 0.19/0.42 % % ------ Input Options Time Limit: Unbounded
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 % % ------ Current options:
% 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
% 0.19/0.42 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.42 % --bmc1_dump_file -
% 0.19/0.42 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.42 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.42 % --bmc1_ucm_extend_mode 1
% 0.19/0.42 % --bmc1_ucm_init_mode 2
% 0.19/0.42 % --bmc1_ucm_cone_mode none
% 0.19/0.42 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.42 % --bmc1_ucm_relax_model 4
% 0.19/0.42 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.42 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.42 % --bmc1_ucm_layered_model none
% 0.19/0.42 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.42
% 0.19/0.42 % ------ AIG Options
% 0.19/0.42
% 0.19/0.42 % --aig_mode false
% 0.19/0.42
% 0.19/0.42 % ------ Instantiation Options
% 0.19/0.42
% 0.19/0.42 % --instantiation_flag true
% 0.19/0.42 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.42 % --inst_solver_per_active 750
% 0.19/0.42 % --inst_solver_calls_frac 0.5
% 0.19/0.42 % --inst_passive_queue_type priority_queues
% 0.19/0.42 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.42 % --inst_passive_queues_freq [25;2]
% 0.19/0.42 % --inst_dismatching true
% 0.19/0.42 % --inst_eager_unprocessed_to_passive true
% 0.19/0.42 % --inst_prop_sim_given true
% 5.98/6.15 % --inst_prop_sim_new false
% 5.98/6.15 % --inst_orphan_elimination true
% 5.98/6.15 % --inst_learning_loop_flag true
% 5.98/6.15 % --inst_learning_start 3000
% 5.98/6.15 % --inst_learning_factor 2
% 5.98/6.15 % --inst_start_prop_sim_after_learn 3
% 5.98/6.15 % --inst_sel_renew solver
% 5.98/6.15 % --inst_lit_activity_flag true
% 5.98/6.15 % --inst_out_proof true
% 5.98/6.15
% 5.98/6.15 % ------ Resolution Options
% 5.98/6.15
% 5.98/6.15 % --resolution_flag true
% 5.98/6.15 % --res_lit_sel kbo_max
% 5.98/6.15 % --res_to_prop_solver none
% 5.98/6.15 % --res_prop_simpl_new false
% 5.98/6.15 % --res_prop_simpl_given false
% 5.98/6.15 % --res_passive_queue_type priority_queues
% 5.98/6.15 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.98/6.15 % --res_passive_queues_freq [15;5]
% 5.98/6.15 % --res_forward_subs full
% 5.98/6.15 % --res_backward_subs full
% 5.98/6.15 % --res_forward_subs_resolution true
% 5.98/6.15 % --res_backward_subs_resolution true
% 5.98/6.15 % --res_orphan_elimination false
% 5.98/6.15 % --res_time_limit 1000.
% 5.98/6.15 % --res_out_proof true
% 5.98/6.15 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_4ac1d3.s
% 5.98/6.15 % --modulo true
% 5.98/6.15
% 5.98/6.15 % ------ Combination Options
% 5.98/6.15
% 5.98/6.15 % --comb_res_mult 1000
% 5.98/6.15 % --comb_inst_mult 300
% 5.98/6.15 % ------
% 5.98/6.15
% 5.98/6.15
% 5.98/6.15
% 5.98/6.15 % ------ Proving...
% 5.98/6.15 %
% 5.98/6.15
% 5.98/6.15
% 5.98/6.15 % Resolution empty clause
% 5.98/6.15
% 5.98/6.15 % ------ Statistics
% 5.98/6.15
% 5.98/6.15 % ------ General
% 5.98/6.15
% 5.98/6.15 % num_of_input_clauses: 36
% 5.98/6.15 % num_of_input_neg_conjectures: 1
% 5.98/6.15 % num_of_splits: 0
% 5.98/6.15 % num_of_split_atoms: 0
% 5.98/6.15 % num_of_sem_filtered_clauses: 0
% 5.98/6.15 % num_of_subtypes: 0
% 5.98/6.15 % monotx_restored_types: 0
% 5.98/6.15 % sat_num_of_epr_types: 0
% 5.98/6.15 % sat_num_of_non_cyclic_types: 0
% 5.98/6.15 % sat_guarded_non_collapsed_types: 0
% 5.98/6.15 % is_epr: 0
% 5.98/6.15 % is_horn: 1
% 5.98/6.15 % has_eq: 0
% 5.98/6.15 % num_pure_diseq_elim: 0
% 5.98/6.15 % simp_replaced_by: 0
% 5.98/6.15 % res_preprocessed: 2
% 5.98/6.15 % prep_upred: 0
% 5.98/6.15 % prep_unflattend: 0
% 5.98/6.15 % pred_elim_cands: 0
% 5.98/6.15 % pred_elim: 0
% 5.98/6.15 % pred_elim_cl: 0
% 5.98/6.15 % pred_elim_cycles: 0
% 5.98/6.15 % forced_gc_time: 0
% 5.98/6.15 % gc_basic_clause_elim: 0
% 5.98/6.15 % parsing_time: 0.001
% 5.98/6.15 % sem_filter_time: 0.
% 5.98/6.15 % pred_elim_time: 0.
% 5.98/6.15 % out_proof_time: 0.001
% 5.98/6.15 % monotx_time: 0.
% 5.98/6.15 % subtype_inf_time: 0.
% 5.98/6.15 % unif_index_cands_time: 0.03
% 5.98/6.15 % unif_index_add_time: 0.012
% 5.98/6.15 % total_time: 5.746
% 5.98/6.15 % num_of_symbols: 31
% 5.98/6.15 % num_of_terms: 62015
% 5.98/6.15
% 5.98/6.15 % ------ Propositional Solver
% 5.98/6.15
% 5.98/6.15 % prop_solver_calls: 16
% 5.98/6.15 % prop_fast_solver_calls: 3
% 5.98/6.15 % prop_num_of_clauses: 10925
% 5.98/6.15 % prop_preprocess_simplified: 18596
% 5.98/6.15 % prop_fo_subsumed: 0
% 5.98/6.15 % prop_solver_time: 0.001
% 5.98/6.15 % prop_fast_solver_time: 0.
% 5.98/6.15 % prop_unsat_core_time: 0.
% 5.98/6.15
% 5.98/6.15 % ------ QBF
% 5.98/6.15
% 5.98/6.15 % qbf_q_res: 0
% 5.98/6.15 % qbf_num_tautologies: 0
% 5.98/6.15 % qbf_prep_cycles: 0
% 5.98/6.15
% 5.98/6.15 % ------ BMC1
% 5.98/6.15
% 5.98/6.15 % bmc1_current_bound: -1
% 5.98/6.15 % bmc1_last_solved_bound: -1
% 5.98/6.15 % bmc1_unsat_core_size: -1
% 5.98/6.15 % bmc1_unsat_core_parents_size: -1
% 5.98/6.15 % bmc1_merge_next_fun: 0
% 5.98/6.15 % bmc1_unsat_core_clauses_time: 0.
% 5.98/6.15
% 5.98/6.15 % ------ Instantiation
% 5.98/6.15
% 5.98/6.15 % inst_num_of_clauses: 8675
% 5.98/6.15 % inst_num_in_passive: 3690
% 5.98/6.15 % inst_num_in_active: 2316
% 5.98/6.15 % inst_num_in_unprocessed: 2592
% 5.98/6.15 % inst_num_of_loops: 2400
% 5.98/6.15 % inst_num_of_learning_restarts: 0
% 5.98/6.15 % inst_num_moves_active_passive: 4
% 5.98/6.15 % inst_lit_activity: 581
% 5.98/6.15 % inst_lit_activity_moves: 0
% 5.98/6.15 % inst_num_tautologies: 77
% 5.98/6.15 % inst_num_prop_implied: 0
% 5.98/6.15 % inst_num_existing_simplified: 0
% 5.98/6.15 % inst_num_eq_res_simplified: 0
% 5.98/6.15 % inst_num_child_elim: 0
% 5.98/6.15 % inst_num_of_dismatching_blockings: 24194
% 5.98/6.15 % inst_num_of_non_proper_insts: 38631
% 5.98/6.15 % inst_num_of_duplicates: 30896
% 5.98/6.15 % inst_inst_num_from_inst_to_res: 0
% 5.98/6.15 % inst_dismatching_checking_time: 0.412
% 5.98/6.15
% 5.98/6.15 % ------ Resolution
% 5.98/6.15
% 5.98/6.15 % res_num_of_clauses: 31991
% 5.98/6.15 % res_num_in_passive: 28141
% 5.98/6.15 % res_num_in_active: 4496
% 5.98/6.15 % res_num_of_loops: 8141
% 5.98/6.15 % res_forward_subset_subsumed: 320
% 5.98/6.15 % res_backward_subset_subsumed: 734
% 5.98/6.15 % res_forward_subsumed: 3260
% 5.98/6.15 % res_backward_subsumed: 336
% 5.98/6.15 % res_forward_subsumption_resolution: 6
% 5.98/6.15 % res_backward_subsumption_resolution: 0
% 5.98/6.15 % res_clause_to_clause_subsumption: 740575
% 5.98/6.15 % res_orphan_elimination: 0
% 5.98/6.15 % res_tautology_del: 7
% 5.98/6.15 % res_num_eq_res_simplified: 0
% 5.98/6.15 % res_num_sel_changes: 0
% 5.98/6.15 % res_moves_from_active_to_pass: 0
% 5.98/6.15
% 5.98/6.15 % Status Unsatisfiable
% 5.98/6.15 % SZS status Unsatisfiable
% 5.98/6.15 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------