TSTP Solution File: ALG222+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG222+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 14 16:50:32 EDT 2022
% Result : Theorem 0.94s 38.11s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 107 ( 64 unt; 0 def)
% Number of atoms : 457 ( 57 equ)
% Maximal formula atoms : 44 ( 4 avg)
% Number of connectives : 572 ( 222 ~; 205 |; 121 &)
% ( 1 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 174 ( 15 sgn 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t18_rmod_5,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> m1_rmod_2(k1_rmod_5(X1,X2,k5_subset_1(u1_struct_0(X2),X3,X4)),X1,k2_rmod_3(X1,X2,k1_rmod_5(X1,X2,X3),k1_rmod_5(X1,X2,X4))) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t18_rmod_5) ).
fof(t24_rmod_3,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_rmod_2(X3,X1,X2)
=> ! [X4] :
( m1_rmod_2(X4,X1,X2)
=> ! [X5] :
( m1_rmod_2(X5,X1,X2)
=> ( ( m1_rmod_2(X3,X1,X4)
& m1_rmod_2(X3,X1,X5) )
=> m1_rmod_2(X3,X1,k2_rmod_3(X1,X2,X4,X5)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+279.ax',t24_rmod_3) ).
fof(t51_xboole_1,axiom,
! [X1,X2] : k2_xboole_0(k3_xboole_0(X1,X2),k4_xboole_0(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t51_xboole_1) ).
fof(t48_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t48_xboole_1) ).
fof(t15_rmod_5,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( r1_tarski(X3,X4)
=> m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4)) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t15_rmod_5) ).
fof(t15_xboole_1,axiom,
! [X1,X2] :
( k2_xboole_0(X1,X2) = k1_xboole_0
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t15_xboole_1) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k2_xboole_0) ).
fof(t39_xboole_1,axiom,
! [X1,X2] : k2_xboole_0(X1,k4_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t39_xboole_1) ).
fof(dt_k1_rmod_5,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(X1)
& ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
=> ( v3_vectsp_2(k1_rmod_5(X1,X2,X3),X1)
& m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k1_rmod_5) ).
fof(t1_boole,axiom,
! [X1] : k2_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+3.ax',t1_boole) ).
fof(t7_xboole_1,axiom,
! [X1,X2] : r1_tarski(X1,k2_xboole_0(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t7_xboole_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(t21_xboole_1,axiom,
! [X1,X2] : k3_xboole_0(X1,k2_xboole_0(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t21_xboole_1) ).
fof(dt_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> m1_subset_1(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',dt_k5_subset_1) ).
fof(redefinition_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k5_subset_1) ).
fof(t49_xboole_1,axiom,
! [X1,X2,X3] : k3_xboole_0(X1,k4_xboole_0(X2,X3)) = k4_xboole_0(k3_xboole_0(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t49_xboole_1) ).
fof(t66_xboole_1,axiom,
! [X1] :
( ~ ( ~ r1_xboole_0(X1,X1)
& X1 = k1_xboole_0 )
& ~ ( X1 != k1_xboole_0
& r1_xboole_0(X1,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t66_xboole_1) ).
fof(t82_xboole_1,axiom,
! [X1,X2] : r1_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(X2,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t82_xboole_1) ).
fof(t46_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(X1,k2_xboole_0(X1,X2)) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t46_xboole_1) ).
fof(c_0_19,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> m1_rmod_2(k1_rmod_5(X1,X2,k5_subset_1(u1_struct_0(X2),X3,X4)),X1,k2_rmod_3(X1,X2,k1_rmod_5(X1,X2,X3),k1_rmod_5(X1,X2,X4))) ) ) ) ),
inference(assume_negation,[status(cth)],[t18_rmod_5]) ).
fof(c_0_20,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_rlvect_1(esk1_0)
& v4_rlvect_1(esk1_0)
& v5_rlvect_1(esk1_0)
& v6_rlvect_1(esk1_0)
& v4_group_1(esk1_0)
& v7_group_1(esk1_0)
& v6_vectsp_1(esk1_0)
& v7_vectsp_1(esk1_0)
& v8_vectsp_1(esk1_0)
& ~ v10_vectsp_1(esk1_0)
& v2_vectsp_2(esk1_0)
& l3_vectsp_1(esk1_0)
& ~ v3_struct_0(esk2_0)
& v3_rlvect_1(esk2_0)
& v4_rlvect_1(esk2_0)
& v5_rlvect_1(esk2_0)
& v6_rlvect_1(esk2_0)
& v5_vectsp_2(esk2_0,esk1_0)
& l1_vectsp_2(esk2_0,esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
& ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k2_rmod_3(esk1_0,esk2_0,k1_rmod_5(esk1_0,esk2_0,esk3_0),k1_rmod_5(esk1_0,esk2_0,esk4_0))) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_19])])])])])]) ).
fof(c_0_21,plain,
! [X6,X7,X8,X9,X10] :
( v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v4_group_1(X6)
| ~ v6_vectsp_1(X6)
| ~ v7_vectsp_1(X6)
| ~ v8_vectsp_1(X6)
| ~ l3_vectsp_1(X6)
| v3_struct_0(X7)
| ~ v3_rlvect_1(X7)
| ~ v4_rlvect_1(X7)
| ~ v5_rlvect_1(X7)
| ~ v6_rlvect_1(X7)
| ~ v5_vectsp_2(X7,X6)
| ~ l1_vectsp_2(X7,X6)
| ~ m1_rmod_2(X8,X6,X7)
| ~ m1_rmod_2(X9,X6,X7)
| ~ m1_rmod_2(X10,X6,X7)
| ~ m1_rmod_2(X8,X6,X9)
| ~ m1_rmod_2(X8,X6,X10)
| m1_rmod_2(X8,X6,k2_rmod_3(X6,X7,X9,X10)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t24_rmod_3])])])])])]) ).
fof(c_0_22,plain,
! [X3,X4] : k2_xboole_0(k3_xboole_0(X3,X4),k4_xboole_0(X3,X4)) = X3,
inference(variable_rename,[status(thm)],[t51_xboole_1]) ).
fof(c_0_23,plain,
! [X3,X4] : k4_xboole_0(X3,k4_xboole_0(X3,X4)) = k3_xboole_0(X3,X4),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
cnf(c_0_24,negated_conjecture,
~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k2_rmod_3(esk1_0,esk2_0,k1_rmod_5(esk1_0,esk2_0,esk3_0),k1_rmod_5(esk1_0,esk2_0,esk4_0))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( m1_rmod_2(X1,X2,k2_rmod_3(X2,X3,X4,X5))
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ m1_rmod_2(X1,X2,X5)
| ~ m1_rmod_2(X1,X2,X4)
| ~ m1_rmod_2(X5,X2,X3)
| ~ m1_rmod_2(X4,X2,X3)
| ~ m1_rmod_2(X1,X2,X3)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
v8_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,negated_conjecture,
v7_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,negated_conjecture,
v6_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,negated_conjecture,
l3_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,negated_conjecture,
v6_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_34,negated_conjecture,
v6_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_35,negated_conjecture,
v5_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_36,negated_conjecture,
v5_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_37,negated_conjecture,
v4_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_38,negated_conjecture,
v4_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_39,negated_conjecture,
v3_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_40,negated_conjecture,
v3_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_41,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_42,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_43,plain,
! [X5,X6,X7,X8] :
( v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v7_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| v10_vectsp_1(X5)
| ~ v2_vectsp_2(X5)
| ~ l3_vectsp_1(X5)
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v5_vectsp_2(X6,X5)
| ~ l1_vectsp_2(X6,X5)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X6)))
| ~ r1_tarski(X7,X8)
| m1_rmod_2(k1_rmod_5(X5,X6,X7),X5,k1_rmod_5(X5,X6,X8)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t15_rmod_5])])])])])]) ).
fof(c_0_44,plain,
! [X3,X4] :
( k2_xboole_0(X3,X4) != k1_xboole_0
| X3 = k1_xboole_0 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t15_xboole_1])])])]) ).
fof(c_0_45,plain,
! [X3,X4] : k2_xboole_0(X3,X4) = k2_xboole_0(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
cnf(c_0_46,plain,
k2_xboole_0(k3_xboole_0(X1,X2),k4_xboole_0(X1,X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_47,plain,
k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_48,plain,
! [X3,X4] : k2_xboole_0(X3,k4_xboole_0(X4,X3)) = k2_xboole_0(X3,X4),
inference(variable_rename,[status(thm)],[t39_xboole_1]) ).
cnf(c_0_49,negated_conjecture,
( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k1_rmod_5(esk1_0,esk2_0,esk4_0))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k1_rmod_5(esk1_0,esk2_0,esk3_0))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_41]),c_0_42]) ).
cnf(c_0_50,plain,
( m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4))
| v3_struct_0(X2)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| ~ r1_tarski(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,negated_conjecture,
v2_vectsp_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_52,negated_conjecture,
v7_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_53,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_54,negated_conjecture,
~ v10_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_55,plain,
( X1 = k1_xboole_0
| k2_xboole_0(X1,X2) != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,plain,
k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,plain,
k2_xboole_0(k4_xboole_0(X1,k4_xboole_0(X1,X2)),k4_xboole_0(X1,X2)) = X1,
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_58,plain,
k2_xboole_0(X1,k4_xboole_0(X2,X1)) = k2_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,negated_conjecture,
( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k1_rmod_5(esk1_0,esk2_0,esk3_0))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_26]),c_0_27]),c_0_51]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_52]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_53])]),c_0_54]),c_0_41]),c_0_42]) ).
cnf(c_0_60,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_61,plain,
! [X4,X5,X6] :
( ( v3_vectsp_2(k1_rmod_5(X4,X5,X6),X4)
| v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_group_1(X4)
| ~ v7_group_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| v10_vectsp_1(X4)
| ~ v2_vectsp_2(X4)
| ~ l3_vectsp_1(X4)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5))) )
& ( m1_rmod_2(k1_rmod_5(X4,X5,X6),X4,X5)
| v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_group_1(X4)
| ~ v7_group_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| v10_vectsp_1(X4)
| ~ v2_vectsp_2(X4)
| ~ l3_vectsp_1(X4)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k1_rmod_5])])])]) ).
cnf(c_0_62,plain,
( X1 = k1_xboole_0
| k2_xboole_0(X2,X1) != k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,plain,
k2_xboole_0(X1,k4_xboole_0(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_56]),c_0_58]),c_0_56]) ).
fof(c_0_64,plain,
! [X2] : k2_xboole_0(X2,k1_xboole_0) = X2,
inference(variable_rename,[status(thm)],[t1_boole]) ).
cnf(c_0_65,negated_conjecture,
( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_50]),c_0_26]),c_0_27]),c_0_51]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_52]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_60])]),c_0_54]),c_0_41]),c_0_42]) ).
cnf(c_0_66,plain,
( v3_struct_0(X2)
| v10_vectsp_1(X3)
| v3_struct_0(X3)
| m1_rmod_2(k1_rmod_5(X3,X2,X1),X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X3)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_67,plain,
! [X3,X4] : r1_tarski(X3,k2_xboole_0(X3,X4)),
inference(variable_rename,[status(thm)],[t7_xboole_1]) ).
cnf(c_0_68,plain,
( k4_xboole_0(X1,X2) = k1_xboole_0
| X1 != k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
k2_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_26]),c_0_27]),c_0_51]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_52]),c_0_32]),c_0_34]),c_0_33]),c_0_36]),c_0_35]),c_0_38]),c_0_37]),c_0_40]),c_0_39])]),c_0_54]),c_0_42]),c_0_41]) ).
cnf(c_0_71,plain,
r1_tarski(X1,k2_xboole_0(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_72,plain,
( k2_xboole_0(X1,X2) = X1
| X2 != k1_xboole_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_68]),c_0_69]) ).
cnf(c_0_73,negated_conjecture,
( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_66]),c_0_26]),c_0_27]),c_0_51]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_52]),c_0_32]),c_0_34]),c_0_33]),c_0_36]),c_0_35]),c_0_38]),c_0_37]),c_0_40]),c_0_39]),c_0_53])]),c_0_54]),c_0_42]),c_0_41]) ).
cnf(c_0_74,plain,
r1_tarski(X1,k2_xboole_0(X2,X1)),
inference(spm,[status(thm)],[c_0_71,c_0_56]) ).
cnf(c_0_75,plain,
( k2_xboole_0(X1,X2) = X1
| k4_xboole_0(X2,X1) != k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_58,c_0_72]) ).
fof(c_0_76,plain,
! [X3,X4,X3,X4] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
cnf(c_0_77,negated_conjecture,
( ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0)
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_66]),c_0_26]),c_0_27]),c_0_51]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_52]),c_0_32]),c_0_34]),c_0_33]),c_0_36]),c_0_35]),c_0_38]),c_0_37]),c_0_40]),c_0_39]),c_0_60])]),c_0_54]),c_0_42]),c_0_41]) ).
cnf(c_0_78,plain,
( r1_tarski(X1,X2)
| k4_xboole_0(X1,X2) != k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
fof(c_0_79,plain,
! [X3,X4] : k3_xboole_0(X3,k2_xboole_0(X3,X4)) = X3,
inference(variable_rename,[status(thm)],[t21_xboole_1]) ).
cnf(c_0_80,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_81,negated_conjecture,
( k4_xboole_0(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0) != k1_xboole_0
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ r1_tarski(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_82,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_83,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| m1_subset_1(k5_subset_1(X4,X5,X6),k1_zfmisc_1(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_subset_1])]) ).
fof(c_0_84,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| k5_subset_1(X4,X5,X6) = k3_xboole_0(X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).
fof(c_0_85,plain,
! [X4,X5,X6] : k3_xboole_0(X4,k4_xboole_0(X5,X6)) = k4_xboole_0(k3_xboole_0(X4,X5),X6),
inference(variable_rename,[status(thm)],[t49_xboole_1]) ).
fof(c_0_86,plain,
! [X2,X2] :
( ( r1_xboole_0(X2,X2)
| X2 != k1_xboole_0 )
& ( X2 = k1_xboole_0
| ~ r1_xboole_0(X2,X2) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t66_xboole_1])])])])]) ).
fof(c_0_87,plain,
! [X3,X4] : r1_xboole_0(k4_xboole_0(X3,X4),k4_xboole_0(X4,X3)),
inference(variable_rename,[status(thm)],[t82_xboole_1]) ).
cnf(c_0_88,plain,
k3_xboole_0(X1,k2_xboole_0(X1,X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_79]) ).
fof(c_0_89,plain,
! [X3,X4] : k4_xboole_0(X3,k2_xboole_0(X3,X4)) = k1_xboole_0,
inference(variable_rename,[status(thm)],[t46_xboole_1]) ).
cnf(c_0_90,plain,
m1_subset_1(X1,k1_zfmisc_1(k2_xboole_0(X1,X2))),
inference(spm,[status(thm)],[c_0_80,c_0_71]) ).
cnf(c_0_91,negated_conjecture,
( k4_xboole_0(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0) != k1_xboole_0
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,plain,
( m1_subset_1(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_93,plain,
( k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_94,plain,
k3_xboole_0(X1,k4_xboole_0(X2,X3)) = k4_xboole_0(k3_xboole_0(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_95,plain,
( X1 = k1_xboole_0
| ~ r1_xboole_0(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_96,plain,
r1_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_97,plain,
k4_xboole_0(X1,k4_xboole_0(X1,k2_xboole_0(X1,X2))) = X1,
inference(rw,[status(thm)],[c_0_88,c_0_47]) ).
cnf(c_0_98,plain,
k4_xboole_0(X1,k2_xboole_0(X1,X2)) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_99,plain,
m1_subset_1(X1,k1_zfmisc_1(k2_xboole_0(X2,X1))),
inference(spm,[status(thm)],[c_0_90,c_0_56]) ).
cnf(c_0_100,negated_conjecture,
( k4_xboole_0(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),esk4_0) != k1_xboole_0
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0),k1_zfmisc_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_53]),c_0_60])]) ).
cnf(c_0_101,plain,
( k5_subset_1(X1,X2,X3) = k4_xboole_0(X2,k4_xboole_0(X2,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(rw,[status(thm)],[c_0_93,c_0_47]) ).
cnf(c_0_102,plain,
k4_xboole_0(X1,k4_xboole_0(X1,k4_xboole_0(X2,X3))) = k4_xboole_0(k4_xboole_0(X1,k4_xboole_0(X1,X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_47]),c_0_47]) ).
cnf(c_0_103,plain,
k4_xboole_0(X1,X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_104,plain,
k4_xboole_0(X1,k1_xboole_0) = X1,
inference(rw,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_105,plain,
m1_subset_1(k4_xboole_0(X1,X2),k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_99,c_0_63]) ).
cnf(c_0_106,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103]),c_0_104]),c_0_103]),c_0_105]),c_0_53]),c_0_60])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG222+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n023.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 : Thu Jun 9 07:29:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.86/23.91 eprover: CPU time limit exceeded, terminating
% 0.86/23.91 eprover: CPU time limit exceeded, terminating
% 0.86/23.92 eprover: CPU time limit exceeded, terminating
% 0.86/23.92 eprover: CPU time limit exceeded, terminating
% 0.94/38.11 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.94/38.11
% 0.94/38.11 # Failure: Resource limit exceeded (time)
% 0.94/38.11 # OLD status Res
% 0.94/38.11 # Preprocessing time : 1.513 s
% 0.94/38.11 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.94/38.11 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.94/38.11 # Preprocessing time : 0.326 s
% 0.94/38.11
% 0.94/38.11 # Proof found!
% 0.94/38.11 # SZS status Theorem
% 0.94/38.11 # SZS output start CNFRefutation
% See solution above
% 0.94/38.11 # Proof object total steps : 107
% 0.94/38.11 # Proof object clause steps : 68
% 0.94/38.11 # Proof object formula steps : 39
% 0.94/38.11 # Proof object conjectures : 36
% 0.94/38.11 # Proof object clause conjectures : 33
% 0.94/38.11 # Proof object formula conjectures : 3
% 0.94/38.11 # Proof object initial clauses used : 42
% 0.94/38.11 # Proof object initial formulas used : 19
% 0.94/38.11 # Proof object generating inferences : 20
% 0.94/38.11 # Proof object simplifying inferences : 148
% 0.94/38.11 # Training examples: 0 positive, 0 negative
% 0.94/38.11 # Parsed axioms : 10009
% 0.94/38.11 # Removed by relevancy pruning/SinE : 9374
% 0.94/38.11 # Initial clauses : 1371
% 0.94/38.11 # Removed in clause preprocessing : 84
% 0.94/38.11 # Initial clauses in saturation : 1287
% 0.94/38.11 # Processed clauses : 67824
% 0.94/38.11 # ...of these trivial : 95
% 0.94/38.11 # ...subsumed : 60679
% 0.94/38.11 # ...remaining for further processing : 7050
% 0.94/38.11 # Other redundant clauses eliminated : 244
% 0.94/38.11 # Clauses deleted for lack of memory : 0
% 0.94/38.11 # Backward-subsumed : 918
% 0.94/38.11 # Backward-rewritten : 28
% 0.94/38.11 # Generated clauses : 252527
% 0.94/38.11 # ...of the previous two non-trivial : 233093
% 0.94/38.11 # Contextual simplify-reflections : 39989
% 0.94/38.11 # Paramodulations : 252171
% 0.94/38.11 # Factorizations : 12
% 0.94/38.11 # Equation resolutions : 339
% 0.94/38.11 # Current number of processed clauses : 6087
% 0.94/38.11 # Positive orientable unit clauses : 314
% 0.94/38.11 # Positive unorientable unit clauses: 3
% 0.94/38.11 # Negative unit clauses : 216
% 0.94/38.11 # Non-unit-clauses : 5554
% 0.94/38.11 # Current number of unprocessed clauses: 145986
% 0.94/38.11 # ...number of literals in the above : 638436
% 0.94/38.11 # Current number of archived formulas : 0
% 0.94/38.11 # Current number of archived clauses : 956
% 0.94/38.11 # Clause-clause subsumption calls (NU) : 45226803
% 0.94/38.11 # Rec. Clause-clause subsumption calls : 37761288
% 0.94/38.11 # Non-unit clause-clause subsumptions : 90754
% 0.94/38.11 # Unit Clause-clause subsumption calls : 170921
% 0.94/38.11 # Rewrite failures with RHS unbound : 0
% 0.94/38.11 # BW rewrite match attempts : 383
% 0.94/38.11 # BW rewrite match successes : 56
% 0.94/38.11 # Condensation attempts : 0
% 0.94/38.11 # Condensation successes : 0
% 0.94/38.11 # Termbank termtop insertions : 3439193
% 0.94/38.11
% 0.94/38.11 # -------------------------------------------------
% 0.94/38.11 # User time : 13.670 s
% 0.94/38.11 # System time : 0.109 s
% 0.94/38.11 # Total time : 13.779 s
% 0.94/38.11 # Maximum resident set size: 129396 pages
% 0.96/46.93 eprover: CPU time limit exceeded, terminating
% 0.96/46.94 eprover: CPU time limit exceeded, terminating
% 0.96/46.94 eprover: CPU time limit exceeded, terminating
% 0.96/46.95 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.95 eprover: No such file or directory
% 0.96/46.96 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.96 eprover: No such file or directory
% 0.96/46.96 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.96/46.96 eprover: No such file or directory
% 0.96/46.96 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.96 eprover: No such file or directory
% 0.96/46.96 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.96 eprover: No such file or directory
% 0.96/46.96 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.96/46.96 eprover: No such file or directory
% 0.96/46.96 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.96 eprover: No such file or directory
% 0.96/46.97 eprover: eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.96/46.97 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.97 eprover: No such file or directory
% 0.96/46.97 eprover: No such file or directory
% 0.96/46.97 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.97 eprover: No such file or directory
% 0.96/46.97 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.96/46.97 eprover: No such file or directory
% 0.96/46.97 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.97 eprover: No such file or directory
% 0.96/46.97 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.96/46.97 eprover: No such file or directory
% 0.96/46.97 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.97 eprover: No such file or directory
% 0.96/46.97 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.97 eprover: No such file or directory
% 0.96/46.98 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.96/46.98 eprover: No such file or directory
% 0.96/46.98 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.98 eprover: No such file or directory
% 0.96/46.98 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.98 eprover: No such file or directory
% 0.96/46.98 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.98 eprover: No such file or directory
% 0.96/46.98 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.96/46.98 eprover: No such file or directory
% 0.96/46.99 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.99 eprover: No such file or directory
% 0.96/46.99 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.99 eprover: No such file or directory
% 0.96/46.99 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.96/46.99 eprover: No such file or directory
% 0.96/46.99 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.99 eprover: No such file or directory
% 0.96/46.99 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/46.99 eprover: No such file or directory
% 0.96/46.99 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.96/46.99 eprover: No such file or directory
% 0.96/47.00 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/47.00 eprover: No such file or directory
% 0.96/47.00 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/47.00 eprover: No such file or directory
% 0.96/47.00 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.96/47.00 eprover: No such file or directory
% 0.96/47.00 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/47.00 eprover: No such file or directory
%------------------------------------------------------------------------------