%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU427+1 : 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 : n015.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 02:25:07 PM UTC 2026
% Result : Theorem 16.21s 2.50s
% Output : CNFRefutation 16.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 59 ( 18 unt; 0 def)
% Number of atoms : 135 ( 43 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 129 ( 53 ~; 47 |; 11 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-4 aty)
% Number of variables : 132 ( 2 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t26_relset_2,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X5),k3_pua2mss1(X3)) = k1_xboole_0
=> k8_relset_2(X1,X2,k4_subset_1(X1,X3,X4),X5) = k8_relset_2(X1,X2,X4,X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_relset_2) ).
fof(redefinition_k4_relset_2,axiom,
! [X1,X2,X3,X4] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2))))
=> k4_relset_2(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_2) ).
fof(t1_boole,axiom,
! [X1] : k2_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_boole) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(dt_k6_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
=> ( m2_relset_1(k6_relset_2(X1,X2,X3),k1_zfmisc_1(X2),k1_zfmisc_1(X1))
& v1_funct_2(k6_relset_2(X1,X2,X3),k1_zfmisc_1(X2),k1_zfmisc_1(X1))
& v1_funct_1(k6_relset_2(X1,X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_2) ).
fof(t153_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> k9_relat_1(X3,k2_xboole_0(X1,X2)) = k2_xboole_0(k9_relat_1(X3,X1),k9_relat_1(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t153_relat_1) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(d4_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> k7_relset_2(X1,X2,X3,X4) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X4),k3_pua2mss1(X3))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relset_2) ).
fof(t3_relset_2,axiom,
! [X1,X2] : k3_pua2mss1(k2_xboole_0(X1,X2)) = k2_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_relset_2) ).
fof(redefinition_k8_relset_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k8_relset_2(X1,X2,X3,X4) = k7_relset_2(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_relset_2) ).
fof(redefinition_k4_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(dt_k4_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_subset_1) ).
fof(c_0_13,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X5),k3_pua2mss1(X3)) = k1_xboole_0
=> k8_relset_2(X1,X2,k4_subset_1(X1,X3,X4),X5) = k8_relset_2(X1,X2,X4,X5) ) ) ) ),
inference(assume_negation,[status(cth)],[t26_relset_2]) ).
fof(c_0_14,negated_conjecture,
( k8_relset_2(esk1_0,esk2_0,k4_subset_1(esk1_0,esk3_0,esk4_0),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)
& k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0
& m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
& m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0))
& m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_15,plain,
! [X81,X82,X83,X84] :
( k4_relset_2(X81,X82,X83,X84) = k9_relat_1(X83,X84)
| ~ m1_subset_1(X83,k1_zfmisc_1(k2_zfmisc_1(X81,k1_zfmisc_1(X82)))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_2])])]) ).
fof(c_0_16,plain,
! [X102] : k2_xboole_0(X102,k1_xboole_0) = X102,
inference(variable_rename,[status(thm)],[t1_boole]) ).
fof(c_0_17,plain,
! [X17,X18] : k2_xboole_0(X17,X18) = k2_xboole_0(X18,X17),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
fof(c_0_18,plain,
! [X47,X48,X49] :
( m1_subset_1(X49,k1_zfmisc_1(k2_zfmisc_1(X47,X48)))
| ~ m2_relset_1(X49,X47,X48) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).
fof(c_0_19,plain,
! [X36,X37,X38] :
( ( ~ m1_subset_1(X38,k1_zfmisc_1(k2_zfmisc_1(X37,X36)))
| m2_relset_1(k6_relset_2(X36,X37,X38),k1_zfmisc_1(X37),k1_zfmisc_1(X36)) )
& ( ~ m1_subset_1(X38,k1_zfmisc_1(k2_zfmisc_1(X37,X36)))
| v1_funct_2(k6_relset_2(X36,X37,X38),k1_zfmisc_1(X37),k1_zfmisc_1(X36)) )
& ( ~ m1_subset_1(X38,k1_zfmisc_1(k2_zfmisc_1(X37,X36)))
| v1_funct_1(k6_relset_2(X36,X37,X38)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_2])])])]) ).
fof(c_0_20,plain,
! [X99,X100,X101] :
( k9_relat_1(X101,k2_xboole_0(X99,X100)) = k2_xboole_0(k9_relat_1(X101,X99),k9_relat_1(X101,X100))
| ~ v1_relat_1(X101) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t153_relat_1])])]) ).
cnf(c_0_21,negated_conjecture,
k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X3))))
| k4_relset_2(X2,X3,X1,X4) = k9_relat_1(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
k2_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_25,plain,
! [X14,X15,X16] :
( v1_relat_1(X16)
| ~ m1_subset_1(X16,k1_zfmisc_1(k2_zfmisc_1(X14,X15))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).
fof(c_0_26,plain,
! [X22,X23,X24,X25] :
( k7_relset_2(X22,X23,X24,X25) = k8_setfam_1(X23,k4_relset_2(k1_zfmisc_1(X22),X23,k6_relset_2(X23,X22,X25),k3_pua2mss1(X24)))
| ~ m1_subset_1(X25,k1_zfmisc_1(k2_zfmisc_1(X22,X23)))
| ~ m1_subset_1(X24,k1_zfmisc_1(X22)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relset_2])])])]) ).
cnf(c_0_27,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| m2_relset_1(k6_relset_2(X1,X2,X3),k1_zfmisc_1(X2),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( ~ v1_relat_1(X1)
| k9_relat_1(X1,k2_xboole_0(X2,X3)) = k2_xboole_0(k9_relat_1(X1,X2),k9_relat_1(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,negated_conjecture,
( ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0))))
| k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
k2_xboole_0(k1_xboole_0,X1) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_32,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_33,plain,
! [X107,X108] : k3_pua2mss1(k2_xboole_0(X107,X108)) = k2_xboole_0(k3_pua2mss1(X107),k3_pua2mss1(X108)),
inference(variable_rename,[status(thm)],[t3_relset_2]) ).
cnf(c_0_34,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| k7_relset_2(X2,X4,X1,X3) = k8_setfam_1(X4,k4_relset_2(k1_zfmisc_1(X2),X4,k6_relset_2(X4,X2,X3),k3_pua2mss1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| m1_subset_1(k6_relset_2(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X2),k1_zfmisc_1(X1)))) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,negated_conjecture,
( ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0))))
| k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k2_xboole_0(k3_pua2mss1(esk3_0),X1)) = k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_37,plain,
k3_pua2mss1(k2_xboole_0(X1,X2)) = k2_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
( ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| k8_setfam_1(X1,k9_relat_1(k6_relset_2(X1,X2,X3),k3_pua2mss1(X4))) = k7_relset_2(X2,X1,X4,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_22]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0))))
| k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(k2_xboole_0(esk3_0,X1))) = k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(X1)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_41,plain,
! [X91,X92,X93,X94] :
( k8_relset_2(X91,X92,X93,X94) = k7_relset_2(X91,X92,X93,X94)
| ~ m1_subset_1(X94,k1_zfmisc_1(k2_zfmisc_1(X91,X92)))
| ~ m1_subset_1(X93,k1_zfmisc_1(X91)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k8_relset_2])])]) ).
cnf(c_0_42,negated_conjecture,
( ~ m1_subset_1(k2_xboole_0(esk3_0,X1),k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0))))
| k8_setfam_1(esk2_0,k9_relat_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(X1))) = k7_relset_2(esk1_0,esk2_0,k2_xboole_0(esk3_0,X1),esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
fof(c_0_43,plain,
! [X85,X86,X87] :
( k4_subset_1(X85,X86,X87) = k2_xboole_0(X86,X87)
| ~ m1_subset_1(X87,k1_zfmisc_1(X85))
| ~ m1_subset_1(X86,k1_zfmisc_1(X85)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1])])]) ).
cnf(c_0_44,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| k8_relset_2(X2,X4,X1,X3) = k7_relset_2(X2,X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(k2_xboole_0(esk3_0,X1),k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0))))
| k7_relset_2(esk1_0,esk2_0,k2_xboole_0(esk3_0,X1),esk5_0) = k7_relset_2(esk1_0,esk2_0,X1,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_42]),c_0_40])]) ).
cnf(c_0_46,negated_conjecture,
k8_relset_2(esk1_0,esk2_0,k4_subset_1(esk1_0,esk3_0,esk4_0),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_47,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| k4_subset_1(X2,X1,X3) = k2_xboole_0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_48,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_49,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_50,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(k2_xboole_0(esk3_0,X1),k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(k6_relset_2(esk2_0,esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0))))
| k8_relset_2(esk1_0,esk2_0,k2_xboole_0(esk3_0,X1),esk5_0) = k7_relset_2(esk1_0,esk2_0,X1,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_40])]) ).
cnf(c_0_51,negated_conjecture,
k8_relset_2(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_52,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(k2_xboole_0(esk3_0,X1),k1_zfmisc_1(esk1_0))
| k8_relset_2(esk1_0,esk2_0,k2_xboole_0(esk3_0,X1),esk5_0) = k7_relset_2(esk1_0,esk2_0,X1,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_35]),c_0_40])]) ).
fof(c_0_53,plain,
! [X31,X32,X33] :
( m1_subset_1(k4_subset_1(X31,X32,X33),k1_zfmisc_1(X31))
| ~ m1_subset_1(X33,k1_zfmisc_1(X31))
| ~ m1_subset_1(X32,k1_zfmisc_1(X31)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_subset_1])])]) ).
cnf(c_0_54,negated_conjecture,
( ~ m1_subset_1(k2_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| k7_relset_2(esk1_0,esk2_0,esk4_0,esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_48])]) ).
cnf(c_0_55,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(k4_subset_1(X2,X1,X3),k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_56,negated_conjecture,
~ m1_subset_1(k2_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_44]),c_0_40]),c_0_48])]) ).
cnf(c_0_57,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| m1_subset_1(k2_xboole_0(X1,X2),k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_55,c_0_47]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_48]),c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU427+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 06:30:36 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 16.21/2.50 % Version: 3.5.1
% 16.21/2.50 % Preprocessing class: FSLSSMSSSSSNFFN.
% 16.21/2.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.21/2.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 16.21/2.50 % Starting new_bool_3 with 300s (1) cores
% 16.21/2.50 % Starting new_bool_1 with 300s (1) cores
% 16.21/2.50 % Starting sh5l with 300s (1) cores
% 16.21/2.50 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 789118 completed with status 0
% 16.21/2.50 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 16.21/2.50 % Preprocessing class: FSLSSMSSSSSNFFN.
% 16.21/2.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.21/2.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 16.21/2.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 16.21/2.50 % No SInE strategy applied
% 16.21/2.50 % Search class: FGHSM-FFMM32-MFFFFFNN
% 16.21/2.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 16.21/2.50 % Starting SubtermCWHack with 136s (1) cores
% 16.21/2.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 16.21/2.50 % Starting G-E--_300_C18_F1_URBAN_S0Y with 369s (1) cores
% 16.21/2.50 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 16.21/2.50 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 16.21/2.50 % G-E--_300_C18_F1_URBAN_S0Y with pid 789126 completed with status 0
% 16.21/2.50 % Result found by G-E--_300_C18_F1_URBAN_S0Y
% 16.21/2.50 % Preprocessing class: FSLSSMSSSSSNFFN.
% 16.21/2.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.21/2.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 16.21/2.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 16.21/2.50 % No SInE strategy applied
% 16.21/2.50 % Search class: FGHSM-FFMM32-MFFFFFNN
% 16.21/2.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 16.21/2.50 % Starting SubtermCWHack with 136s (1) cores
% 16.21/2.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 16.21/2.50 % Starting G-E--_300_C18_F1_URBAN_S0Y with 369s (1) cores
% 16.21/2.50 % Preprocessing time : 0.011 s
% 16.21/2.50
% 16.21/2.50 % Proof found!
% 16.21/2.50 % SZS status Theorem
% 16.21/2.50 % SZS output start CNFRefutation
% See solution above
% 16.21/2.50 % Parsed axioms : 59
% 16.21/2.50 % Removed by relevancy pruning/SinE : 0
% 16.21/2.50 % Initial clauses : 78
% 16.21/2.50 % Removed in clause preprocessing : 8
% 16.21/2.50 % Initial clauses in saturation : 70
% 16.21/2.50 % Processed clauses : 3248
% 16.21/2.50 % ...of these trivial : 44
% 16.21/2.50 % ...subsumed : 1885
% 16.21/2.50 % ...remaining for further processing : 1319
% 16.21/2.50 % Other redundant clauses eliminated : 0
% 16.21/2.50 % Clauses deleted for lack of memory : 0
% 16.21/2.50 % Backward-subsumed : 47
% 16.21/2.50 % Backward-rewritten : 21
% 16.21/2.50 % Generated clauses : 27098
% 16.21/2.50 % ...of the previous two non-redundant : 25941
% 16.21/2.50 % ...aggressively subsumed : 0
% 16.21/2.50 % Contextual simplify-reflections : 55
% 16.21/2.50 % Paramodulations : 27098
% 16.21/2.50 % Factorizations : 0
% 16.21/2.50 % NegExts : 0
% 16.21/2.50 % Equation resolutions : 0
% 16.21/2.50 % Disequality decompositions : 0
% 16.21/2.50 % Total rewrite steps : 7099
% 16.21/2.50 % ...of those cached : 6726
% 16.21/2.50 % Propositional unsat checks : 0
% 16.21/2.50 % Propositional check models : 0
% 16.21/2.50 % Propositional check unsatisfiable : 0
% 16.21/2.50 % Propositional clauses : 0
% 16.21/2.50 % Propositional clauses after purity: 0
% 16.21/2.50 % Propositional unsat core size : 0
% 16.21/2.50 % Propositional preprocessing time : 0.000
% 16.21/2.50 % Propositional encoding time : 0.000
% 16.21/2.50 % Propositional solver time : 0.000
% 16.21/2.50 % Success case prop preproc time : 0.000
% 16.21/2.50 % Success case prop encoding time : 0.000
% 16.21/2.50 % Success case prop solver time : 0.000
% 16.21/2.50 % Current number of processed clauses : 1251
% 16.21/2.50 % Positive orientable unit clauses : 125
% 16.21/2.50 % Positive unorientable unit clauses: 1
% 16.21/2.50 % Negative unit clauses : 5
% 16.21/2.50 % Non-unit-clauses : 1120
% 16.21/2.50 % Current number of unprocessed clauses: 22697
% 16.21/2.50 % ...number of literals in the above : 108014
% 16.21/2.50 % Current number of archived formulas : 0
% 16.21/2.50 % Current number of archived clauses : 68
% 16.21/2.50 % Clause-clause subsumption calls (NU) : 374682
% 16.21/2.50 % Rec. Clause-clause subsumption calls : 153452
% 16.21/2.50 % Non-unit clause-clause subsumptions : 1980
% 16.21/2.50 % Unit Clause-clause subsumption calls : 15988
% 16.21/2.50 % Rewrite failures with RHS unbound : 0
% 16.21/2.50 % BW rewrite match attempts : 379
% 16.21/2.50 % BW rewrite match successes : 14
% 16.21/2.50 % Condensation attempts : 0
% 16.21/2.50 % Condensation successes : 0
% 16.21/2.50 % Termbank termtop insertions : 1015002
% 16.21/2.50 % Search garbage collected termcells : 649
% 16.21/2.50
% 16.21/2.50 % -------------------------------------------------
% 16.21/2.50 % User time : 1.968 s
% 16.21/2.50 % System time : 0.055 s
% 16.21/2.50 % Total time : 2.023 s
% 16.21/2.50 % Maximum resident set size: 3688 pages
% 16.21/2.50
% 16.21/2.50 % -------------------------------------------------
% 16.21/2.50 % User time : 9.558 s
% 16.21/2.50 % System time : 0.308 s
% 16.21/2.50 % Total time : 9.866 s
% 16.21/2.50 % Maximum resident set size: 4608 pages
% 16.21/2.50 % E exiting
%------------------------------------------------------------------------------