TSTP Solution File: SEU450+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU450+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 : Thu Aug 31 16:27:03 EDT 2023
% Result : Theorem 26.24s 26.37s
% Output : CNFRefutation 26.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 49
% Syntax : Number of formulae : 94 ( 11 unt; 39 typ; 0 def)
% Number of atoms : 175 ( 21 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 218 ( 98 ~; 89 |; 11 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 60 ( 30 >; 30 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 9 con; 0-4 aty)
% Number of variables : 150 ( 1 sgn; 69 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
k1_zfmisc_1: $i > $i ).
tff(decl_23,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_24,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
k8_relset_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
k6_relset_1: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_28,type,
v1_xboole_0: $i > $o ).
tff(decl_29,type,
v1_relat_1: $i > $o ).
tff(decl_30,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_31,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_32,type,
k7_relset_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
k6_relset_2: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
k3_pua2mss1: $i > $i ).
tff(decl_35,type,
k4_relset_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
k8_setfam_1: ( $i * $i ) > $i ).
tff(decl_37,type,
m1_eqrel_1: ( $i * $i ) > $o ).
tff(decl_38,type,
k4_relat_1: $i > $i ).
tff(decl_39,type,
k5_relset_2: ( $i * $i ) > $i ).
tff(decl_40,type,
v1_funct_1: $i > $o ).
tff(decl_41,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_43,type,
k1_xboole_0: $i ).
tff(decl_44,type,
v3_relat_1: $i > $o ).
tff(decl_45,type,
k9_relat_1: ( $i * $i ) > $i ).
tff(decl_46,type,
esk1_0: $i ).
tff(decl_47,type,
esk2_0: $i ).
tff(decl_48,type,
esk3_0: $i ).
tff(decl_49,type,
esk4_0: $i ).
tff(decl_50,type,
esk5_0: $i ).
tff(decl_51,type,
esk6_1: $i > $i ).
tff(decl_52,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk8_1: $i > $i ).
tff(decl_54,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk10_0: $i ).
tff(decl_56,type,
esk11_1: $i > $i ).
tff(decl_57,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk13_0: $i ).
tff(decl_59,type,
esk14_1: $i > $i ).
tff(decl_60,type,
esk15_0: $i ).
fof(t61_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X2))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ( r1_tarski(X3,k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X5)))
<=> r1_tarski(X4,k8_relset_2(X1,X2,X3,X5)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_relset_2) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(t32_relset_2,axiom,
! [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)))
=> ( r1_tarski(X3,X4)
=> r1_tarski(k8_relset_2(X1,X2,X4,X5),k8_relset_2(X1,X2,X3,X5)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_relset_2) ).
fof(t64_relset_2,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X2))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ( k8_relset_2(X1,X2,X3,X5) = k8_relset_2(X1,X2,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,X5),k6_relset_1(X1,X2,X5)),X5)
& k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X5)) = k8_relset_2(X2,X1,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X5)),X5),k6_relset_1(X1,X2,X5)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_relset_2) ).
fof(dt_k8_relset_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_2) ).
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/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(dt_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(redefinition_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(c_0_10,plain,
! [X113,X114,X115,X116,X117] :
( ( ~ r1_tarski(X115,k8_relset_2(X114,X113,X116,k6_relset_1(X113,X114,X117)))
| r1_tarski(X116,k8_relset_2(X113,X114,X115,X117))
| ~ m2_relset_1(X117,X113,X114)
| ~ m1_subset_1(X116,k1_zfmisc_1(X114))
| ~ m1_subset_1(X115,k1_zfmisc_1(X113)) )
& ( ~ r1_tarski(X116,k8_relset_2(X113,X114,X115,X117))
| r1_tarski(X115,k8_relset_2(X114,X113,X116,k6_relset_1(X113,X114,X117)))
| ~ m2_relset_1(X117,X113,X114)
| ~ m1_subset_1(X116,k1_zfmisc_1(X114))
| ~ m1_subset_1(X115,k1_zfmisc_1(X113)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t61_relset_2])])])]) ).
fof(c_0_11,plain,
! [X95] : r1_tarski(X95,X95),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_12,plain,
! [X17,X18] :
( ( r1_tarski(X17,X18)
| X17 != X18 )
& ( r1_tarski(X18,X17)
| X17 != X18 )
& ( ~ r1_tarski(X17,X18)
| ~ r1_tarski(X18,X17)
| X17 = X18 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
cnf(c_0_13,plain,
( r1_tarski(X4,k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X5)))
| ~ r1_tarski(X1,k8_relset_2(X2,X3,X4,X5))
| ~ m2_relset_1(X5,X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X100,X101,X102,X103,X104] :
( ~ m1_subset_1(X102,k1_zfmisc_1(X100))
| ~ m1_subset_1(X103,k1_zfmisc_1(X100))
| ~ m1_subset_1(X104,k1_zfmisc_1(k2_zfmisc_1(X100,X101)))
| ~ r1_tarski(X102,X103)
| r1_tarski(k8_relset_2(X100,X101,X103,X104),k8_relset_2(X100,X101,X102,X104)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t32_relset_2])])]) ).
cnf(c_0_16,plain,
( r1_tarski(X4,k8_relset_2(X3,X2,X1,X5))
| ~ r1_tarski(X1,k8_relset_2(X2,X3,X4,k6_relset_1(X3,X2,X5)))
| ~ m2_relset_1(X5,X3,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X2))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ( k8_relset_2(X1,X2,X3,X5) = k8_relset_2(X1,X2,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,X5),k6_relset_1(X1,X2,X5)),X5)
& k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X5)) = k8_relset_2(X2,X1,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X4,k6_relset_1(X1,X2,X5)),X5),k6_relset_1(X1,X2,X5)) ) ) ) ),
inference(assume_negation,[status(cth)],[t64_relset_2]) ).
cnf(c_0_18,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( r1_tarski(X1,k8_relset_2(X2,X3,k8_relset_2(X3,X2,X1,X4),k6_relset_1(X3,X2,X4)))
| ~ m2_relset_1(X4,X3,X2)
| ~ m1_subset_1(k8_relset_2(X3,X2,X1,X4),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
( r1_tarski(k8_relset_2(X2,X5,X3,X4),k8_relset_2(X2,X5,X1,X4))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X5)))
| ~ r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( r1_tarski(X1,k8_relset_2(X2,X3,k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X4)),X4))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X4)),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
fof(c_0_22,plain,
! [X37,X38,X39,X40] :
( ~ m1_subset_1(X39,k1_zfmisc_1(X37))
| ~ m1_subset_1(X40,k1_zfmisc_1(k2_zfmisc_1(X37,X38)))
| m1_subset_1(k8_relset_2(X37,X38,X39,X40),k1_zfmisc_1(X38)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relset_2])]) ).
fof(c_0_23,negated_conjecture,
( m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0))
& m1_subset_1(esk4_0,k1_zfmisc_1(esk2_0))
& m2_relset_1(esk5_0,esk1_0,esk2_0)
& ( k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0) != k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0)
| k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)) != k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_24,plain,
( k8_relset_2(X1,X2,k8_relset_2(X2,X1,X3,X4),k6_relset_1(X2,X1,X4)) = X3
| ~ r1_tarski(k8_relset_2(X1,X2,k8_relset_2(X2,X1,X3,X4),k6_relset_1(X2,X1,X4)),X3)
| ~ m2_relset_1(X4,X2,X1)
| ~ m1_subset_1(k8_relset_2(X2,X1,X3,X4),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
( r1_tarski(k8_relset_2(X1,X2,k8_relset_2(X3,X4,k8_relset_2(X4,X3,X5,k6_relset_1(X3,X4,X6)),X6),X7),k8_relset_2(X1,X2,X5,X7))
| ~ m2_relset_1(X6,X3,X4)
| ~ m1_subset_1(k8_relset_2(X3,X4,k8_relset_2(X4,X3,X5,k6_relset_1(X3,X4,X6)),X6),k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_relset_2(X4,X3,X5,k6_relset_1(X3,X4,X6)),k1_zfmisc_1(X3))
| ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( m1_subset_1(k8_relset_2(X2,X4,X1,X3),k1_zfmisc_1(X4))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_27,plain,
! [X45,X46,X47] :
( ~ m2_relset_1(X47,X45,X46)
| m1_subset_1(X47,k1_zfmisc_1(k2_zfmisc_1(X45,X46))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_28,negated_conjecture,
( k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0) != k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0)
| k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)) != k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
( k8_relset_2(X1,X2,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4)),X4),k6_relset_1(X2,X1,X4)) = k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4))
| ~ m2_relset_1(X4,X2,X1)
| ~ m1_subset_1(k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4)),X4),k1_zfmisc_1(X1))
| ~ m1_subset_1(k6_relset_1(X2,X1,X4),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
m2_relset_1(esk5_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
( k8_relset_2(X1,X2,k8_relset_2(X2,X1,X3,k6_relset_1(X1,X2,X4)),X4) = X3
| ~ r1_tarski(k8_relset_2(X1,X2,k8_relset_2(X2,X1,X3,k6_relset_1(X1,X2,X4)),X4),X3)
| ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(k8_relset_2(X2,X1,X3,k6_relset_1(X1,X2,X4)),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_33,plain,
( r1_tarski(k8_relset_2(X1,X2,k8_relset_2(X3,X4,k8_relset_2(X4,X3,X5,X6),k6_relset_1(X4,X3,X6)),X7),k8_relset_2(X1,X2,X5,X7))
| ~ m2_relset_1(X6,X4,X3)
| ~ m1_subset_1(k8_relset_2(X3,X4,k8_relset_2(X4,X3,X5,X6),k6_relset_1(X4,X3,X6)),k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_relset_2(X4,X3,X5,X6),k1_zfmisc_1(X3))
| ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_34,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_35,plain,
! [X31,X32,X33] :
( ~ m1_relset_1(X33,X31,X32)
| m2_relset_1(k6_relset_1(X31,X32,X33),X32,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_1])]) ).
fof(c_0_36,plain,
! [X82,X83,X84] :
( ~ m1_relset_1(X84,X82,X83)
| k6_relset_1(X82,X83,X84) = k4_relat_1(X84) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])]) ).
cnf(c_0_37,negated_conjecture,
( k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0)
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_38,plain,
( k8_relset_2(X1,X2,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,X4),k6_relset_1(X1,X2,X4)),X4) = k8_relset_2(X1,X2,X3,X4)
| ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,X4),k6_relset_1(X1,X2,X4)),k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_39,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_40,plain,
( m2_relset_1(k6_relset_1(X2,X3,X1),X3,X2)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
( k6_relset_1(X2,X3,X1) = k4_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_42,plain,
! [X92,X93,X94] :
( ( ~ m2_relset_1(X94,X92,X93)
| m1_relset_1(X94,X92,X93) )
& ( ~ m1_relset_1(X94,X92,X93)
| m2_relset_1(X94,X92,X93) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_43,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_30]),c_0_39])]),c_0_26]) ).
cnf(c_0_44,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_34,c_0_30]) ).
cnf(c_0_45,plain,
( m2_relset_1(k4_relat_1(X1),X2,X3)
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk2_0,esk1_0,esk4_0,k6_relset_1(esk1_0,esk2_0,esk5_0)),k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_26]),c_0_44])]) ).
cnf(c_0_48,plain,
( m2_relset_1(k4_relat_1(X1),X2,X3)
| ~ m2_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,negated_conjecture,
( ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_26]),c_0_31])]) ).
cnf(c_0_50,plain,
( m1_subset_1(k4_relat_1(X1),k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_48]) ).
cnf(c_0_51,negated_conjecture,
~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_26]),c_0_44]),c_0_39])]) ).
cnf(c_0_52,negated_conjecture,
m1_subset_1(k4_relat_1(esk5_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))),
inference(spm,[status(thm)],[c_0_50,c_0_30]) ).
cnf(c_0_53,negated_conjecture,
~ m1_relset_1(esk5_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_41]),c_0_52])]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_46]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU450+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.33 % Computer : n014.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Aug 23 17:48:04 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 26.24/26.37 % Version : CSE_E---1.5
% 26.24/26.37 % Problem : theBenchmark.p
% 26.24/26.37 % Proof found
% 26.24/26.37 % SZS status Theorem for theBenchmark.p
% 26.24/26.37 % SZS output start Proof
% See solution above
% 26.34/26.38 % Total time : 25.769000 s
% 26.34/26.38 % SZS output end Proof
% 26.34/26.38 % Total time : 25.774000 s
%------------------------------------------------------------------------------