TSTP Solution File: ALG214+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG214+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 16:50:24 EDT 2022
% Result : Theorem 1.04s 85.20s
% Output : CNFRefutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 56 ( 26 unt; 0 def)
% Number of atoms : 466 ( 18 equ)
% Maximal formula atoms : 82 ( 8 avg)
% Number of connectives : 688 ( 278 ~; 296 |; 89 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 89 ( 3 sgn 41 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d5_xboole_0,axiom,
! [X1] :
( v1_xboole_0(X1)
<=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d5_xboole_0) ).
fof(rc1_xboole_0,axiom,
? [X1] : v1_xboole_0(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',rc1_xboole_0) ).
fof(t1_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X2,X3) )
=> r1_tarski(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t1_xboole_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(t2_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)
& 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_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)
& v1_rmod_5(X4,X1,X2) )
=> v1_rmod_5(X3,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_rmod_5) ).
fof(d1_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)
& 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_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ( v1_rmod_5(X3,X1,X2)
<=> ! [X4] :
( m2_rmod_4(X4,X1,X2,X3)
=> ( k5_rmod_4(X1,X2,X4) = k1_rlvect_1(X2)
=> k2_rmod_4(X1,X2,X4) = k1_xboole_0 ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_rmod_5) ).
fof(t25_rmod_4,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_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X5] :
( m2_rmod_4(X5,X1,X2,X3)
=> ( r1_tarski(X3,X4)
=> m2_rmod_4(X5,X1,X2,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+280.ax',t25_rmod_4) ).
fof(c_0_7,plain,
! [X2,X2] :
( ( ~ v1_xboole_0(X2)
| X2 = k1_xboole_0 )
& ( X2 != k1_xboole_0
| v1_xboole_0(X2) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_xboole_0])])])]) ).
fof(c_0_8,plain,
v1_xboole_0(esk35_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
fof(c_0_9,plain,
! [X4,X5,X6] :
( ~ r1_tarski(X4,X5)
| ~ r1_tarski(X5,X6)
| r1_tarski(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
fof(c_0_10,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])])])]) ).
fof(c_0_11,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)
& 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_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)
& v1_rmod_5(X4,X1,X2) )
=> v1_rmod_5(X3,X1,X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t2_rmod_5]) ).
fof(c_0_12,plain,
! [X5,X6,X7,X8] :
( ( ~ v1_rmod_5(X7,X5,X6)
| ~ m2_rmod_4(X8,X5,X6,X7)
| k5_rmod_4(X5,X6,X8) != k1_rlvect_1(X6)
| k2_rmod_4(X5,X6,X8) = k1_xboole_0
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| 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)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| ~ l3_vectsp_1(X5) )
& ( m2_rmod_4(esk5_3(X5,X6,X7),X5,X6,X7)
| v1_rmod_5(X7,X5,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| 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)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| ~ l3_vectsp_1(X5) )
& ( k5_rmod_4(X5,X6,esk5_3(X5,X6,X7)) = k1_rlvect_1(X6)
| v1_rmod_5(X7,X5,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| 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)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| ~ l3_vectsp_1(X5) )
& ( k2_rmod_4(X5,X6,esk5_3(X5,X6,X7)) != k1_xboole_0
| v1_rmod_5(X7,X5,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| 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)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| ~ l3_vectsp_1(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d1_rmod_5])])])])])])])]) ).
cnf(c_0_13,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
v1_xboole_0(esk35_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_15,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_subset_1(X8,k1_zfmisc_1(u1_struct_0(X7)))
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X7)))
| ~ m2_rmod_4(X10,X6,X7,X8)
| ~ r1_tarski(X8,X9)
| m2_rmod_4(X10,X6,X7,X9) ),
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)],[t25_rmod_4])])])])])]) ).
cnf(c_0_16,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_18,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)
& v6_vectsp_1(esk1_0)
& v7_vectsp_1(esk1_0)
& v8_vectsp_1(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)))
& r1_tarski(esk3_0,esk4_0)
& v1_rmod_5(esk4_0,esk1_0,esk2_0)
& ~ v1_rmod_5(esk3_0,esk1_0,esk2_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_11])])])])])]) ).
cnf(c_0_19,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k2_rmod_4(X1,X2,X4) = k1_xboole_0
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ 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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
| ~ m2_rmod_4(X4,X1,X2,X3)
| ~ v1_rmod_5(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
k1_xboole_0 = esk35_0,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,plain,
( m2_rmod_4(X1,X2,X3,X4)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ r1_tarski(X5,X4)
| ~ m2_rmod_4(X1,X2,X3,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(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_15]) ).
cnf(c_0_22,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X1,X2)
| m2_rmod_4(esk5_3(X1,X2,X3),X1,X2,X3)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ 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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X1,X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ 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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| k2_rmod_4(X1,X2,esk5_3(X1,X2,X3)) != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( k2_rmod_4(X1,X2,X3) = esk35_0
| v3_struct_0(X2)
| v3_struct_0(X1)
| k5_rmod_4(X1,X2,X3) != k1_rlvect_1(X2)
| ~ v1_rmod_5(X4,X1,X2)
| ~ m2_rmod_4(X3,X1,X2,X4)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
( v1_rmod_5(X1,X2,X3)
| m2_rmod_4(esk5_3(X2,X3,X1),X2,X3,X4)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ r1_tarski(X1,X4) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X1,X2)
| k5_rmod_4(X1,X2,esk5_3(X1,X2,X3)) = k1_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ 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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,plain,
( v1_rmod_5(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| k2_rmod_4(X2,X3,esk5_3(X2,X3,X1)) != esk35_0
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3))) ),
inference(rw,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_30,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,negated_conjecture,
( r1_tarski(X1,u1_struct_0(esk2_0))
| ~ r1_tarski(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,plain,
( v1_rmod_5(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v1_rmod_5(X4,X2,X3)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ r1_tarski(X1,X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_33,negated_conjecture,
v1_rmod_5(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_34,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_35,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_36,negated_conjecture,
v8_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_37,negated_conjecture,
v7_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_38,negated_conjecture,
v6_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_39,negated_conjecture,
l3_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_40,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_41,negated_conjecture,
v6_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_42,negated_conjecture,
v6_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_43,negated_conjecture,
v5_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_44,negated_conjecture,
v5_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_45,negated_conjecture,
v4_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_46,negated_conjecture,
v4_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_47,negated_conjecture,
v3_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_48,negated_conjecture,
v3_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_49,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_50,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_51,negated_conjecture,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ r1_tarski(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_52,negated_conjecture,
~ v1_rmod_5(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_53,negated_conjecture,
( v1_rmod_5(X1,esk1_0,esk2_0)
| ~ r1_tarski(X1,esk4_0) ),
inference(csr,[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(spm,[status(thm)],[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]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_25])]),c_0_49]),c_0_50]),c_0_51]) ).
cnf(c_0_54,negated_conjecture,
r1_tarski(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG214+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 05:33:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.58/23.59 eprover: CPU time limit exceeded, terminating
% 0.58/23.60 eprover: CPU time limit exceeded, terminating
% 0.58/23.60 eprover: CPU time limit exceeded, terminating
% 0.58/23.60 eprover: CPU time limit exceeded, terminating
% 0.75/46.61 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.75/46.61
% 0.75/46.63 eprover: CPU time limit exceeded, terminating
% 0.75/46.64 eprover: CPU time limit exceeded, terminating
% 0.92/69.63 eprover: CPU time limit exceeded, terminating
% 0.92/69.64 eprover: CPU time limit exceeded, terminating
% 0.92/69.65 eprover: CPU time limit exceeded, terminating
% 0.92/69.65 eprover: CPU time limit exceeded, terminating
% 1.04/85.20 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.04/85.20
% 1.04/85.20 # Failure: Resource limit exceeded (time)
% 1.04/85.20 # OLD status Res
% 1.04/85.20 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.04/85.20 # Preprocessing time : 0.144 s
% 1.04/85.20 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 1.04/85.20
% 1.04/85.20 # Failure: Resource limit exceeded (time)
% 1.04/85.20 # OLD status Res
% 1.04/85.20 # Preprocessing time : 0.659 s
% 1.04/85.20 # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 1.04/85.20
% 1.04/85.20 # Failure: Resource limit exceeded (time)
% 1.04/85.20 # OLD status Res
% 1.04/85.20 # Preprocessing time : 0.664 s
% 1.04/85.20 # Running protocol protocol_eprover_761a0d093d9701c0eed884aebb46468e8d439c31 for 23 seconds:
% 1.04/85.20 # SinE strategy is GSinE(CountFormulas,hypos,1.2,,,100,1.0)
% 1.04/85.20 # Preprocessing time : 0.154 s
% 1.04/85.20
% 1.04/85.20 # Proof found!
% 1.04/85.20 # SZS status Theorem
% 1.04/85.20 # SZS output start CNFRefutation
% See solution above
% 1.04/85.21 # Proof object total steps : 56
% 1.04/85.21 # Proof object clause steps : 41
% 1.04/85.21 # Proof object formula steps : 15
% 1.04/85.21 # Proof object conjectures : 28
% 1.04/85.21 # Proof object clause conjectures : 25
% 1.04/85.21 # Proof object formula conjectures : 3
% 1.04/85.21 # Proof object initial clauses used : 31
% 1.04/85.21 # Proof object initial formulas used : 7
% 1.04/85.21 # Proof object generating inferences : 8
% 1.04/85.21 # Proof object simplifying inferences : 26
% 1.04/85.21 # Training examples: 0 positive, 0 negative
% 1.04/85.21 # Parsed axioms : 3445
% 1.04/85.21 # Removed by relevancy pruning/SinE : 3344
% 1.04/85.21 # Initial clauses : 195
% 1.04/85.21 # Removed in clause preprocessing : 3
% 1.04/85.21 # Initial clauses in saturation : 192
% 1.04/85.21 # Processed clauses : 18394
% 1.04/85.21 # ...of these trivial : 78
% 1.04/85.21 # ...subsumed : 13438
% 1.04/85.21 # ...remaining for further processing : 4878
% 1.04/85.21 # Other redundant clauses eliminated : 3
% 1.04/85.21 # Clauses deleted for lack of memory : 199976
% 1.04/85.21 # Backward-subsumed : 196
% 1.04/85.21 # Backward-rewritten : 67
% 1.04/85.21 # Generated clauses : 350509
% 1.04/85.21 # ...of the previous two non-trivial : 334610
% 1.04/85.21 # Contextual simplify-reflections : 17113
% 1.04/85.21 # Paramodulations : 349529
% 1.04/85.21 # Factorizations : 38
% 1.04/85.21 # Equation resolutions : 366
% 1.04/85.21 # Current number of processed clauses : 4607
% 1.04/85.21 # Positive orientable unit clauses : 182
% 1.04/85.21 # Positive unorientable unit clauses: 0
% 1.04/85.21 # Negative unit clauses : 215
% 1.04/85.21 # Non-unit-clauses : 4210
% 1.04/85.21 # Current number of unprocessed clauses: 108282
% 1.04/85.21 # ...number of literals in the above : 911544
% 1.04/85.21 # Current number of archived formulas : 0
% 1.04/85.21 # Current number of archived clauses : 265
% 1.04/85.21 # Clause-clause subsumption calls (NU) : 23655961
% 1.04/85.21 # Rec. Clause-clause subsumption calls : 1872406
% 1.04/85.21 # Non-unit clause-clause subsumptions : 29174
% 1.04/85.21 # Unit Clause-clause subsumption calls : 92712
% 1.04/85.21 # Rewrite failures with RHS unbound : 0
% 1.04/85.21 # BW rewrite match attempts : 216
% 1.04/85.21 # BW rewrite match successes : 31
% 1.04/85.21 # Condensation attempts : 0
% 1.04/85.21 # Condensation successes : 0
% 1.04/85.21 # Termbank termtop insertions : 9615943
% 1.04/85.21
% 1.04/85.21 # -------------------------------------------------
% 1.04/85.21 # User time : 15.239 s
% 1.04/85.21 # System time : 0.159 s
% 1.04/85.21 # Total time : 15.398 s
% 1.04/85.21 # Maximum resident set size: 148664 pages
% 1.04/92.64 eprover: CPU time limit exceeded, terminating
% 1.04/92.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.04/92.66 eprover: No such file or directory
% 1.04/92.67 eprover: CPU time limit exceeded, terminating
% 1.04/92.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.04/92.67 eprover: No such file or directory
% 1.04/92.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.04/92.68 eprover: No such file or directory
% 1.04/92.68 eprover: CPU time limit exceeded, terminating
% 1.04/92.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.68 eprover: No such file or directory
% 1.04/92.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.04/92.68 eprover: No such file or directory
% 1.04/92.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.69 eprover: No such file or directory
% 1.04/92.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.04/92.69 eprover: No such file or directory
% 1.04/92.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.69 eprover: No such file or directory
% 1.04/92.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.69 eprover: No such file or directory
% 1.04/92.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.04/92.69 eprover: No such file or directory
% 1.04/92.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.70 eprover: No such file or directory
% 1.04/92.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.70 eprover: No such file or directory
% 1.04/92.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.70 eprover: No such file or directory
% 1.04/92.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.04/92.70 eprover: No such file or directory
% 1.04/92.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.70 eprover: No such file or directory
% 1.04/92.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.70 eprover: No such file or directory
% 1.04/92.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.04/92.71 eprover: No such file or directory
% 1.04/92.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.71 eprover: No such file or directory
% 1.04/92.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.71 eprover: No such file or directory
% 1.04/92.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.71 eprover: No such file or directory
% 1.04/92.72 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.72 eprover: No such file or directory
% 1.04/92.72 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.72 eprover: No such file or directory
% 1.04/92.72 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.72 eprover: No such file or directory
% 1.04/92.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.04/92.73 eprover: No such file or directory
%------------------------------------------------------------------------------