%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG219+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:55:38 AM UTC 2026
% Result : Theorem 226.02s 34.03s
% Output : CNFRefutation 226.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 30 unt; 0 def)
% Number of atoms : 317 ( 29 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 379 ( 108 ~; 94 |; 150 &)
% ( 1 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 45 ( 1 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t14_rmod_5,conjecture,
! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(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)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v3_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ( X3 = u1_struct_0(X2)
=> ( k1_rmod_5(X1,X2,X3) = X2
| k1_rlvect_1(X1) = k2_group_1(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_rmod_5) ).
fof(t32_rmod_2,axiom,
! [X1] :
( ( 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)
& ~ v3_struct_0(X1) )
=> ! [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)
& ~ v3_struct_0(X2) )
=> m1_rmod_2(X2,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+278.ax',t32_rmod_2) ).
fof(t13_rmod_5,axiom,
! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(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)
& ~ v3_struct_0(X1) )
=> ! [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)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( ( m1_rmod_2(X4,X1,X2)
& v3_vectsp_2(X4,X1) )
=> ( X3 = u1_struct_0(X4)
=> ( k1_rmod_5(X1,X2,X3) = X4
| k1_rlvect_1(X1) = k2_group_1(X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_rmod_5) ).
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(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(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)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v3_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ( X3 = u1_struct_0(X2)
=> ( k1_rmod_5(X1,X2,X3) = X2
| k1_rlvect_1(X1) = k2_group_1(X1) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t14_rmod_5]) ).
fof(c_0_6,plain,
! [X1] :
( ( 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)
& ~ v3_struct_0(X1) )
=> ! [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)
& ~ v3_struct_0(X2) )
=> m1_rmod_2(X2,X1,X2) ) ),
inference(fof_simplification,[status(thm)],[t32_rmod_2]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(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)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v3_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ( X3 = u1_struct_0(X2)
=> ( k1_rmod_5(X1,X2,X3) = X2
| k1_rlvect_1(X1) = k2_group_1(X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(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)
& ~ v3_struct_0(X1) )
=> ! [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)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( ( m1_rmod_2(X4,X1,X2)
& v3_vectsp_2(X4,X1) )
=> ( X3 = u1_struct_0(X4)
=> ( k1_rmod_5(X1,X2,X3) = X4
| k1_rlvect_1(X1) = k2_group_1(X1) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t13_rmod_5]) ).
fof(c_0_9,plain,
! [X203,X204] :
( m1_rmod_2(X204,X203,X204)
| ~ l1_vectsp_2(X204,X203)
| ~ v5_vectsp_2(X204,X203)
| ~ v6_rlvect_1(X204)
| ~ v5_rlvect_1(X204)
| ~ v4_rlvect_1(X204)
| ~ v3_rlvect_1(X204)
| v3_struct_0(X204)
| ~ l3_vectsp_1(X203)
| ~ v8_vectsp_1(X203)
| ~ v7_vectsp_1(X203)
| ~ v6_vectsp_1(X203)
| ~ v4_group_1(X203)
| ~ v6_rlvect_1(X203)
| ~ v5_rlvect_1(X203)
| ~ v4_rlvect_1(X203)
| ~ v3_rlvect_1(X203)
| v3_struct_0(X203) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_10,negated_conjecture,
( k1_rmod_5(esk1_0,esk2_0,esk3_0) != esk2_0
& k1_rlvect_1(esk1_0) != k2_group_1(esk1_0)
& esk3_0 = u1_struct_0(esk2_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
& l1_vectsp_2(esk2_0,esk1_0)
& v5_vectsp_2(esk2_0,esk1_0)
& v3_vectsp_2(esk2_0,esk1_0)
& v6_rlvect_1(esk2_0)
& v5_rlvect_1(esk2_0)
& v4_rlvect_1(esk2_0)
& v3_rlvect_1(esk2_0)
& ~ v3_struct_0(esk2_0)
& l3_vectsp_1(esk1_0)
& v2_vectsp_2(esk1_0)
& ~ v10_vectsp_1(esk1_0)
& v8_vectsp_1(esk1_0)
& v7_vectsp_1(esk1_0)
& v6_vectsp_1(esk1_0)
& v7_group_1(esk1_0)
& v4_group_1(esk1_0)
& v6_rlvect_1(esk1_0)
& v5_rlvect_1(esk1_0)
& v4_rlvect_1(esk1_0)
& v3_rlvect_1(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_11,plain,
! [X36,X37,X38,X39] :
( k1_rmod_5(X36,X37,X38) = X39
| k1_rlvect_1(X36) = k2_group_1(X36)
| X38 != u1_struct_0(X39)
| ~ m1_rmod_2(X39,X36,X37)
| ~ v3_vectsp_2(X39,X36)
| ~ m1_subset_1(X38,k1_zfmisc_1(u1_struct_0(X37)))
| ~ l1_vectsp_2(X37,X36)
| ~ v5_vectsp_2(X37,X36)
| ~ v6_rlvect_1(X37)
| ~ v5_rlvect_1(X37)
| ~ v4_rlvect_1(X37)
| ~ v3_rlvect_1(X37)
| v3_struct_0(X37)
| ~ l3_vectsp_1(X36)
| ~ v2_vectsp_2(X36)
| v10_vectsp_1(X36)
| ~ v8_vectsp_1(X36)
| ~ v7_vectsp_1(X36)
| ~ v6_vectsp_1(X36)
| ~ v7_group_1(X36)
| ~ v4_group_1(X36)
| ~ v6_rlvect_1(X36)
| ~ v5_rlvect_1(X36)
| ~ v4_rlvect_1(X36)
| ~ v3_rlvect_1(X36)
| v3_struct_0(X36) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
cnf(c_0_12,plain,
( ~ 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)
| ~ 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)
| m1_rmod_2(X2,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
v8_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
v7_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
v6_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
l3_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
v6_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
v6_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,negated_conjecture,
v5_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,negated_conjecture,
v5_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,negated_conjecture,
v4_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,negated_conjecture,
v4_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,negated_conjecture,
v3_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,negated_conjecture,
v3_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_30,plain,
! [X126,X127] :
( ( m1_subset_1(X126,k1_zfmisc_1(X127))
| ~ r1_tarski(X126,X127) )
& ( r1_tarski(X126,X127)
| ~ m1_subset_1(X126,k1_zfmisc_1(X127)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).
fof(c_0_31,plain,
! [X548] : r1_tarski(X548,X548),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_32,plain,
( X3 != u1_struct_0(X4)
| ~ m1_rmod_2(X4,X1,X2)
| ~ v3_vectsp_2(X4,X1)
| ~ 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)
| k1_rmod_5(X1,X2,X3) = X4
| k1_rlvect_1(X1) = k2_group_1(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,negated_conjecture,
m1_rmod_2(esk2_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(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]),c_0_29]) ).
cnf(c_0_34,negated_conjecture,
esk3_0 = u1_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_35,negated_conjecture,
v3_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_36,negated_conjecture,
v2_vectsp_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,negated_conjecture,
v7_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_38,negated_conjecture,
k1_rlvect_1(esk1_0) != k2_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_39,negated_conjecture,
~ v10_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_40,plain,
( ~ r1_tarski(X1,X2)
| m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,esk3_0) != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_43,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(esk3_0))
| X1 != esk3_0
| k1_rmod_5(esk1_0,esk2_0,X1) = esk2_0 ),
inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_13]),c_0_35]),c_0_14]),c_0_36]),c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_37]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_34])]),c_0_38]),c_0_39]),c_0_28]),c_0_29]) ).
cnf(c_0_44,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG219+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.58 % Computer : n016.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Mon Sep 21 13:08:15 UTC 2026
% 0.11/0.59 % CPUTime :
% 0.11/0.59 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.63 Running first-order theorem proving
% 0.15/0.63 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 226.02/34.03 % Version: 3.5.1
% 226.02/34.03 % Preprocessing class: FMLLSMLLSSSNFFN.
% 226.02/34.03 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 226.02/34.03 % Starting new_bool_3 with 900s (3) cores
% 226.02/34.03 % Starting new_bool_1 with 900s (3) cores
% 226.02/34.03 % Starting sh5l with 300s (1) cores
% 226.02/34.03 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 226.02/34.03 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 2477952 completed with status 0
% 226.02/34.03 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 226.02/34.03 % Preprocessing class: FMLLSMLLSSSNFFN.
% 226.02/34.03 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 226.02/34.03 % Starting new_bool_3 with 900s (3) cores
% 226.02/34.03 % Starting new_bool_1 with 900s (3) cores
% 226.02/34.03 % Starting sh5l with 300s (1) cores
% 226.02/34.03 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 226.02/34.03 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 226.02/34.03 % SinE strategy is gf120_h_gu_RUU_F100_L01000
% 226.02/34.03 % Search class: FGHSM-SMLM32-MFFFFFNN
% 226.02/34.03 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 226.02/34.03 % Starting SubtermCWHack with 28s (1) cores
% 226.02/34.03 % SubtermCWHack with pid 2477959 completed with status 8
% 226.02/34.03 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 31s (1) cores
% 226.02/34.03 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 2479502 completed with status 0
% 226.02/34.03 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 226.02/34.03 % Preprocessing class: FMLLSMLLSSSNFFN.
% 226.02/34.03 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 226.02/34.03 % Starting new_bool_3 with 900s (3) cores
% 226.02/34.03 % Starting new_bool_1 with 900s (3) cores
% 226.02/34.03 % Starting sh5l with 300s (1) cores
% 226.02/34.03 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 226.02/34.03 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 226.02/34.03 % SinE strategy is gf120_h_gu_RUU_F100_L01000
% 226.02/34.03 % Search class: FGHSM-SMLM32-MFFFFFNN
% 226.02/34.03 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 226.02/34.03 % Starting SubtermCWHack with 28s (1) cores
% 226.02/34.03 % SubtermCWHack with pid 2477959 completed with status 8
% 226.02/34.03 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 31s (1) cores
% 226.02/34.03 % Preprocessing time : 0.092 s
% 226.02/34.03
% 226.02/34.03 % Proof found!
% 226.02/34.03 % SZS status Theorem
% 226.02/34.03 % SZS output start CNFRefutation
% See solution above
% 226.02/34.03 % Parsed axioms : 10005
% 226.02/34.03 % Removed by relevancy pruning/SinE : 9004
% 226.02/34.03 % Initial clauses : 2179
% 226.02/34.03 % Removed in clause preprocessing : 118
% 226.02/34.03 % Initial clauses in saturation : 2061
% 226.02/34.03 % Processed clauses : 3141
% 226.02/34.03 % ...of these trivial : 74
% 226.02/34.03 % ...subsumed : 555
% 226.02/34.03 % ...remaining for further processing : 2512
% 226.02/34.03 % Other redundant clauses eliminated : 329
% 226.02/34.03 % Clauses deleted for lack of memory : 0
% 226.02/34.03 % Backward-subsumed : 17
% 226.02/34.03 % Backward-rewritten : 40
% 226.02/34.03 % Generated clauses : 41082
% 226.02/34.03 % ...of the previous two non-redundant : 38338
% 226.02/34.03 % ...aggressively subsumed : 0
% 226.02/34.03 % Contextual simplify-reflections : 124
% 226.02/34.03 % Paramodulations : 40665
% 226.02/34.03 % Factorizations : 15
% 226.02/34.03 % NegExts : 0
% 226.02/34.03 % Equation resolutions : 409
% 226.02/34.03 % Disequality decompositions : 0
% 226.02/34.03 % Total rewrite steps : 7875
% 226.02/34.03 % ...of those cached : 6714
% 226.02/34.03 % Propositional unsat checks : 0
% 226.02/34.03 % Propositional check models : 0
% 226.02/34.03 % Propositional check unsatisfiable : 0
% 226.02/34.03 % Propositional clauses : 0
% 226.02/34.03 % Propositional clauses after purity: 0
% 226.02/34.03 % Propositional unsat core size : 0
% 226.02/34.03 % Propositional preprocessing time : 0.000
% 226.02/34.03 % Propositional encoding time : 0.000
% 226.02/34.03 % Propositional solver time : 0.000
% 226.02/34.03 % Success case prop preproc time : 0.000
% 226.02/34.03 % Success case prop encoding time : 0.000
% 226.02/34.03 % Success case prop solver time : 0.000
% 226.02/34.03 % Current number of processed clauses : 2431
% 226.02/34.03 % Positive orientable unit clauses : 294
% 226.02/34.03 % Positive unorientable unit clauses: 3
% 226.02/34.03 % Negative unit clauses : 86
% 226.02/34.03 % Non-unit-clauses : 2048
% 226.02/34.03 % Current number of unprocessed clauses: 37175
% 226.02/34.03 % ...number of literals in the above : 354900
% 226.02/34.03 % Current number of archived formulas : 0
% 226.02/34.03 % Current number of archived clauses : 59
% 226.02/34.03 % Clause-clause subsumption calls (NU) : 3876245
% 226.02/34.03 % Rec. Clause-clause subsumption calls : 101180
% 226.02/34.03 % Non-unit clause-clause subsumptions : 541
% 226.02/34.03 % Unit Clause-clause subsumption calls : 69714
% 226.02/34.03 % Rewrite failures with RHS unbound : 0
% 226.02/34.03 % BW rewrite match attempts : 191
% 226.02/34.03 % BW rewrite match successes : 51
% 226.02/34.03 % Condensation attempts : 0
% 226.02/34.03 % Condensation successes : 0
% 226.02/34.03 % Termbank termtop insertions : 1559792
% 226.02/34.03 % Search garbage collected termcells : 122715
% 226.02/34.03
% 226.02/34.03 % -------------------------------------------------
% 226.02/34.03 % User time : 31.486 s
% 226.02/34.03 % System time : 0.939 s
% 226.02/34.03 % Total time : 32.425 s
% 226.02/34.03 % Maximum resident set size: 25060 pages
% 226.02/34.03
% 226.02/34.03 % -------------------------------------------------
% 226.02/34.03 % User time : 31.846 s
% 226.02/34.03 % System time : 0.970 s
% 226.02/34.03 % Total time : 32.817 s
% 226.02/34.03 % Maximum resident set size: 17408 pages
% 226.02/34.03 % E exiting
%------------------------------------------------------------------------------