%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU417+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %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 : 300s
% DateTime : Tue May 5 05:12:14 PM UTC 2026
% Result : Theorem 1.27s 1.73s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 11 unt; 0 def)
% Number of atoms : 103 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 113 ( 49 ~; 41 |; 7 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 90 ( 2 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t7_relset_2,conjecture,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> r1_tarski(k5_subset_1(X1,k8_setfam_1(X1,X2),k8_setfam_1(X1,X3)),k8_setfam_1(X1,k1_relset_2(X1,X2,X3))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_relset_2) ).
fof(t8_mssubfam,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ( X2 = k4_subset_1(k1_zfmisc_1(X1),X3,X4)
=> k8_setfam_1(X1,X2) = k5_subset_1(X1,k8_setfam_1(X1,X3),k8_setfam_1(X1,X4)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_mssubfam) ).
fof(dt_k4_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(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_subset_1) ).
fof(redefinition_k4_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,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(redefinition_k1_relset_2,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))) )
=> k1_relset_2(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_relset_2) ).
fof(t59_setfam_1,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ( r1_tarski(X2,X3)
=> r1_tarski(k8_setfam_1(X1,X3),k8_setfam_1(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_setfam_1) ).
fof(t29_xboole_1,axiom,
! [X1,X2,X3] : r1_tarski(k3_xboole_0(X1,X2),k2_xboole_0(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_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/theBenchmark.p',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/theBenchmark.p',redefinition_k5_subset_1) ).
fof(c_0_9,negated_conjecture,
~ ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> r1_tarski(k5_subset_1(X1,k8_setfam_1(X1,X2),k8_setfam_1(X1,X3)),k8_setfam_1(X1,k1_relset_2(X1,X2,X3))) ) ),
inference(assume_negation,[status(cth)],[t7_relset_2]) ).
fof(c_0_10,plain,
! [X192,X193,X194,X195] :
( ~ m1_subset_1(X193,k1_zfmisc_1(k1_zfmisc_1(X192)))
| ~ m1_subset_1(X194,k1_zfmisc_1(k1_zfmisc_1(X192)))
| ~ m1_subset_1(X195,k1_zfmisc_1(k1_zfmisc_1(X192)))
| X193 != k4_subset_1(k1_zfmisc_1(X192),X194,X195)
| k8_setfam_1(X192,X193) = k5_subset_1(X192,k8_setfam_1(X192,X194),k8_setfam_1(X192,X195)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_mssubfam])])]) ).
fof(c_0_11,plain,
! [X124,X125,X126] :
( ~ m1_subset_1(X125,k1_zfmisc_1(X124))
| ~ m1_subset_1(X126,k1_zfmisc_1(X124))
| m1_subset_1(k4_subset_1(X124,X125,X126),k1_zfmisc_1(X124)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_subset_1])]) ).
fof(c_0_12,negated_conjecture,
( m1_subset_1(esk2_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
& m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
& ~ r1_tarski(k5_subset_1(esk1_0,k8_setfam_1(esk1_0,esk2_0),k8_setfam_1(esk1_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_13,plain,
( k8_setfam_1(X2,X1) = k5_subset_1(X2,k8_setfam_1(X2,X3),k8_setfam_1(X2,X4))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2)))
| X1 != k4_subset_1(k1_zfmisc_1(X2),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( m1_subset_1(k4_subset_1(X2,X1,X3),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
~ r1_tarski(k5_subset_1(esk1_0,k8_setfam_1(esk1_0,esk2_0),k8_setfam_1(esk1_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( k5_subset_1(X1,k8_setfam_1(X1,X2),k8_setfam_1(X1,X3)) = k8_setfam_1(X1,k4_subset_1(k1_zfmisc_1(X1),X2,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_13]),c_0_14]) ).
cnf(c_0_17,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_19,plain,
! [X160,X161,X162] :
( ~ m1_subset_1(X161,k1_zfmisc_1(X160))
| ~ m1_subset_1(X162,k1_zfmisc_1(X160))
| k4_subset_1(X160,X161,X162) = k2_xboole_0(X161,X162) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1])]) ).
cnf(c_0_20,negated_conjecture,
~ r1_tarski(k8_setfam_1(esk1_0,k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_21,plain,
( k4_subset_1(X2,X1,X3) = k2_xboole_0(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_22,plain,
! [X157,X158,X159] :
( ~ m1_subset_1(X158,k1_zfmisc_1(k1_zfmisc_1(X157)))
| ~ m1_subset_1(X159,k1_zfmisc_1(k1_zfmisc_1(X157)))
| k1_relset_2(X157,X158,X159) = k3_xboole_0(X158,X159) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_2])]) ).
cnf(c_0_23,negated_conjecture,
~ r1_tarski(k8_setfam_1(esk1_0,k2_xboole_0(esk2_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_17]),c_0_18])]) ).
cnf(c_0_24,plain,
( k1_relset_2(X2,X1,X3) = k3_xboole_0(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_25,plain,
! [X181,X182,X183] :
( ~ m1_subset_1(X182,k1_zfmisc_1(k1_zfmisc_1(X181)))
| ~ m1_subset_1(X183,k1_zfmisc_1(k1_zfmisc_1(X181)))
| ~ r1_tarski(X182,X183)
| r1_tarski(k8_setfam_1(X181,X183),k8_setfam_1(X181,X182)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t59_setfam_1])])]) ).
fof(c_0_26,plain,
! [X170,X171,X172] : r1_tarski(k3_xboole_0(X170,X171),k2_xboole_0(X170,X172)),
inference(variable_rename,[status(thm)],[t29_xboole_1]) ).
cnf(c_0_27,negated_conjecture,
~ r1_tarski(k8_setfam_1(esk1_0,k2_xboole_0(esk2_0,esk3_0)),k8_setfam_1(esk1_0,k3_xboole_0(esk2_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_17]),c_0_18])]) ).
cnf(c_0_28,plain,
( r1_tarski(k8_setfam_1(X2,X3),k8_setfam_1(X2,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
r1_tarski(k3_xboole_0(X1,X2),k2_xboole_0(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_30,plain,
! [X127,X128,X129] :
( ~ m1_subset_1(X128,k1_zfmisc_1(X127))
| ~ m1_subset_1(X129,k1_zfmisc_1(X127))
| m1_subset_1(k5_subset_1(X127,X128,X129),k1_zfmisc_1(X127)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_subset_1])]) ).
fof(c_0_31,plain,
! [X163,X164,X165] :
( ~ m1_subset_1(X164,k1_zfmisc_1(X163))
| ~ m1_subset_1(X165,k1_zfmisc_1(X163))
| k5_subset_1(X163,X164,X165) = k3_xboole_0(X164,X165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).
cnf(c_0_32,negated_conjecture,
( ~ m1_subset_1(k2_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
| ~ m1_subset_1(k3_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_33,plain,
( m1_subset_1(k2_xboole_0(X1,X2),k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_34,plain,
( m1_subset_1(k5_subset_1(X2,X1,X3),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( k5_subset_1(X2,X1,X3) = k3_xboole_0(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,negated_conjecture,
~ m1_subset_1(k3_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_17]),c_0_18])]) ).
cnf(c_0_37,plain,
( m1_subset_1(k3_xboole_0(X1,X2),k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU417+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n020.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 03:04:50 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.27/1.73 % Version : CSE_E---1.7
% 1.27/1.73 % Problem : theBenchmark.p
% 1.27/1.73 % SZS status Theorem for theBenchmark.p
% 1.27/1.73 % SZS output start CNFRefutation
% See solution above
% 1.27/1.73 % Total time : 1.372s
%------------------------------------------------------------------------------