TSTP Solution File: SEU447+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU447+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 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 : Thu Aug 31 16:27:01 EDT 2023
% Result : Theorem 4.18s 4.22s
% Output : CNFRefutation 4.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 56
% Syntax : Number of formulae : 106 ( 10 unt; 42 typ; 0 def)
% Number of atoms : 147 ( 31 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 149 ( 66 ~; 54 |; 7 &)
% ( 1 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 69 ( 32 >; 37 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 10 con; 0-5 aty)
% Number of variables : 166 ( 8 sgn; 104 !; 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,
k10_relset_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
k8_relset_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_27,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_28,type,
k3_subset_1: ( $i * $i ) > $i ).
tff(decl_29,type,
k9_relset_2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_31,type,
v1_xboole_0: $i > $o ).
tff(decl_32,type,
v1_relat_1: $i > $o ).
tff(decl_33,type,
k7_relset_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
k6_relset_2: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
k3_pua2mss1: $i > $i ).
tff(decl_36,type,
k4_relset_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
k8_setfam_1: ( $i * $i ) > $i ).
tff(decl_38,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
m1_eqrel_1: ( $i * $i ) > $o ).
tff(decl_40,type,
k5_relat_1: ( $i * $i ) > $i ).
tff(decl_41,type,
k5_relset_2: ( $i * $i ) > $i ).
tff(decl_42,type,
v1_funct_1: $i > $o ).
tff(decl_43,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_44,type,
k1_xboole_0: $i ).
tff(decl_45,type,
v3_relat_1: $i > $o ).
tff(decl_46,type,
k9_relat_1: ( $i * $i ) > $i ).
tff(decl_47,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_48,type,
esk1_0: $i ).
tff(decl_49,type,
esk2_0: $i ).
tff(decl_50,type,
esk3_0: $i ).
tff(decl_51,type,
esk4_0: $i ).
tff(decl_52,type,
esk5_0: $i ).
tff(decl_53,type,
esk6_0: $i ).
tff(decl_54,type,
esk7_1: $i > $i ).
tff(decl_55,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk9_1: $i > $i ).
tff(decl_57,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk11_0: $i ).
tff(decl_59,type,
esk12_1: $i > $i ).
tff(decl_60,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk14_0: $i ).
tff(decl_62,type,
esk15_1: $i > $i ).
tff(decl_63,type,
esk16_0: $i ).
fof(t59_relset_2,conjecture,
! [X1,X2,X3,X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ! [X6] :
( m2_relset_1(X6,X2,X3)
=> k8_relset_2(X2,X3,k10_relset_1(X1,X2,X5,X4),X6) = k8_relset_2(X1,X3,X4,k3_subset_1(k2_zfmisc_1(X1,X3),k9_relset_2(X1,X2,X3,X5,k3_subset_1(k2_zfmisc_1(X2,X3),X6)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_relset_2) ).
fof(t50_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> k3_subset_1(X2,k10_relset_1(X1,X2,X4,X3)) = k8_relset_2(X1,X2,X3,k3_subset_1(k2_zfmisc_1(X1,X2),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_relset_2) ).
fof(redefinition_k10_relset_1,axiom,
! [X1,X2,X3,X4] :
( m1_relset_1(X3,X1,X2)
=> k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k10_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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
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_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> m2_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_relset_2) ).
fof(dt_k10_relset_1,axiom,
! [X1,X2,X3,X4] :
( m1_relset_1(X3,X1,X2)
=> m1_subset_1(k10_relset_1(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_relset_1) ).
fof(redefinition_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(involutiveness_k3_subset_1,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> k3_subset_1(X1,k3_subset_1(X1,X2)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(t49_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)))
=> k3_subset_1(X2,k8_relset_2(X1,X2,X3,X4)) = k9_relat_1(k3_subset_1(k2_zfmisc_1(X1,X2),X4),X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_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/sandbox2/benchmark/theBenchmark.p',dt_k8_relset_2) ).
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(t159_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> k9_relat_1(k5_relat_1(X2,X3),X1) = k9_relat_1(X3,k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t159_relat_1) ).
fof(dt_k3_subset_1,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> m1_subset_1(k3_subset_1(X1,X2),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(c_0_14,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ! [X6] :
( m2_relset_1(X6,X2,X3)
=> k8_relset_2(X2,X3,k10_relset_1(X1,X2,X5,X4),X6) = k8_relset_2(X1,X3,X4,k3_subset_1(k2_zfmisc_1(X1,X3),k9_relset_2(X1,X2,X3,X5,k3_subset_1(k2_zfmisc_1(X2,X3),X6)))) ) ) ),
inference(assume_negation,[status(cth)],[t59_relset_2]) ).
fof(c_0_15,negated_conjecture,
( m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0))
& m2_relset_1(esk5_0,esk1_0,esk2_0)
& m2_relset_1(esk6_0,esk2_0,esk3_0)
& k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk1_0,esk3_0,esk4_0,k3_subset_1(k2_zfmisc_1(esk1_0,esk3_0),k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_16,plain,
! [X128,X129,X130,X131] :
( ~ m1_subset_1(X130,k1_zfmisc_1(X128))
| ~ m2_relset_1(X131,X128,X129)
| k3_subset_1(X129,k10_relset_1(X128,X129,X131,X130)) = k8_relset_2(X128,X129,X130,k3_subset_1(k2_zfmisc_1(X128,X129),X131)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t50_relset_2])])]) ).
cnf(c_0_17,negated_conjecture,
k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk1_0,esk3_0,esk4_0,k3_subset_1(k2_zfmisc_1(esk1_0,esk3_0),k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
( k3_subset_1(X4,k10_relset_1(X2,X4,X3,X1)) = k8_relset_2(X2,X4,X1,k3_subset_1(k2_zfmisc_1(X2,X4),X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m2_relset_1(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,plain,
! [X88,X89,X90,X91] :
( ~ m1_relset_1(X90,X88,X89)
| k10_relset_1(X88,X89,X90,X91) = k9_relat_1(X90,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])]) ).
fof(c_0_21,plain,
! [X108,X109,X110] :
( ( ~ m2_relset_1(X110,X108,X109)
| m1_relset_1(X110,X108,X109) )
& ( ~ m1_relset_1(X110,X108,X109)
| m2_relset_1(X110,X108,X109) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_22,negated_conjecture,
( k3_subset_1(esk3_0,k10_relset_1(esk1_0,esk3_0,k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0)) != k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0)
| ~ m2_relset_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_23,plain,
( k10_relset_1(X2,X3,X1,X4) = k9_relat_1(X1,X4)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_25,plain,
! [X54,X55,X56] :
( ~ m2_relset_1(X56,X54,X55)
| m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(X54,X55))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_26,negated_conjecture,
( k3_subset_1(esk3_0,k9_relat_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0)) != k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0)
| ~ m1_relset_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_27,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_28,plain,
! [X47,X48,X49,X50,X51] :
( ~ m1_subset_1(X50,k1_zfmisc_1(k2_zfmisc_1(X47,X48)))
| ~ m1_subset_1(X51,k1_zfmisc_1(k2_zfmisc_1(X48,X49)))
| m2_relset_1(k9_relset_2(X47,X48,X49,X50,X51),X47,X49) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_relset_2])]) ).
cnf(c_0_29,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_25]) ).
cnf(c_0_30,negated_conjecture,
m2_relset_1(esk5_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_31,plain,
! [X23,X24,X25,X26] :
( ~ m1_relset_1(X25,X23,X24)
| m1_subset_1(k10_relset_1(X23,X24,X25,X26),k1_zfmisc_1(X24)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k10_relset_1])]) ).
cnf(c_0_32,negated_conjecture,
( k3_subset_1(esk3_0,k9_relat_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0)) != k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0)
| ~ m2_relset_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
( m2_relset_1(k9_relset_2(X2,X3,X5,X1,X4),X2,X5)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_35,plain,
! [X103,X104,X105,X106,X107] :
( ~ m1_subset_1(X106,k1_zfmisc_1(k2_zfmisc_1(X103,X104)))
| ~ m1_subset_1(X107,k1_zfmisc_1(k2_zfmisc_1(X104,X105)))
| k9_relset_2(X103,X104,X105,X106,X107) = k5_relat_1(X106,X107) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])]) ).
cnf(c_0_36,plain,
( m1_subset_1(k10_relset_1(X2,X3,X1,X4),k1_zfmisc_1(X3))
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( k3_subset_1(esk3_0,k9_relat_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0)) != k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0)
| ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_38,plain,
( k9_relset_2(X2,X3,X5,X1,X4) = k5_relat_1(X1,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_39,plain,
! [X76,X77] :
( ~ m1_subset_1(X77,k1_zfmisc_1(X76))
| k3_subset_1(X76,k3_subset_1(X76,X77)) = X77 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])]) ).
fof(c_0_40,plain,
! [X121,X122,X123,X124] :
( ~ m1_subset_1(X123,k1_zfmisc_1(X121))
| ~ m1_subset_1(X124,k1_zfmisc_1(k2_zfmisc_1(X121,X122)))
| k3_subset_1(X122,k8_relset_2(X121,X122,X123,X124)) = k9_relat_1(k3_subset_1(k2_zfmisc_1(X121,X122),X124),X123) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t49_relset_2])])]) ).
fof(c_0_41,plain,
! [X41,X42,X43,X44] :
( ~ m1_subset_1(X43,k1_zfmisc_1(X41))
| ~ m1_subset_1(X44,k1_zfmisc_1(k2_zfmisc_1(X41,X42)))
| m1_subset_1(k8_relset_2(X41,X42,X43,X44),k1_zfmisc_1(X42)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relset_2])]) ).
cnf(c_0_42,plain,
( m1_subset_1(k9_relat_1(X1,X2),k1_zfmisc_1(X3))
| ~ m1_relset_1(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_23]) ).
cnf(c_0_43,negated_conjecture,
( k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k3_subset_1(esk3_0,k9_relat_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0))
| ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_34])]) ).
cnf(c_0_44,plain,
( k3_subset_1(X2,k3_subset_1(X2,X1)) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,plain,
( k3_subset_1(X4,k8_relset_2(X2,X4,X1,X3)) = k9_relat_1(k3_subset_1(k2_zfmisc_1(X2,X4),X3),X1)
| ~ 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_40]) ).
cnf(c_0_46,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_41]) ).
cnf(c_0_47,negated_conjecture,
m2_relset_1(esk6_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_48,plain,
( m1_subset_1(k9_relat_1(X1,X2),k1_zfmisc_1(X3))
| ~ m2_relset_1(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_42,c_0_27]) ).
cnf(c_0_49,negated_conjecture,
( k8_relset_2(esk2_0,esk3_0,k9_relat_1(esk5_0,esk4_0),esk6_0) != k3_subset_1(esk3_0,k9_relat_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0))
| ~ m1_relset_1(esk5_0,esk1_0,esk2_0)
| ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_43,c_0_23]) ).
cnf(c_0_50,plain,
( k8_relset_2(X1,X2,X3,X4) = k3_subset_1(X2,k9_relat_1(k3_subset_1(k2_zfmisc_1(X1,X2),X4),X3))
| ~ m1_subset_1(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_44,c_0_45]),c_0_46]) ).
cnf(c_0_51,negated_conjecture,
m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))),
inference(spm,[status(thm)],[c_0_29,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
m1_subset_1(k9_relat_1(esk5_0,X1),k1_zfmisc_1(esk2_0)),
inference(spm,[status(thm)],[c_0_48,c_0_30]) ).
fof(c_0_53,plain,
! [X16,X17,X18] :
( ~ m1_subset_1(X18,k1_zfmisc_1(k2_zfmisc_1(X16,X17)))
| v1_relat_1(X18) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
cnf(c_0_54,negated_conjecture,
( k3_subset_1(esk3_0,k9_relat_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0)) != k3_subset_1(esk3_0,k9_relat_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k9_relat_1(esk5_0,esk4_0)))
| ~ m1_relset_1(esk5_0,esk1_0,esk2_0)
| ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]),c_0_52])]) ).
fof(c_0_55,plain,
! [X112,X113,X114] :
( ~ v1_relat_1(X113)
| ~ v1_relat_1(X114)
| k9_relat_1(k5_relat_1(X113,X114),X112) = k9_relat_1(X114,k9_relat_1(X113,X112)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t159_relat_1])])]) ).
cnf(c_0_56,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_57,negated_conjecture,
( k3_subset_1(esk3_0,k9_relat_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0)) != k3_subset_1(esk3_0,k9_relat_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k9_relat_1(esk5_0,esk4_0)))
| ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_27]),c_0_30])]) ).
cnf(c_0_58,plain,
( k9_relat_1(k5_relat_1(X1,X2),X3) = k9_relat_1(X2,k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_59,negated_conjecture,
v1_relat_1(esk5_0),
inference(spm,[status(thm)],[c_0_56,c_0_34]) ).
fof(c_0_60,plain,
! [X28,X29] :
( ~ m1_subset_1(X29,k1_zfmisc_1(X28))
| m1_subset_1(k3_subset_1(X28,X29),k1_zfmisc_1(X28)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_subset_1])]) ).
cnf(c_0_61,negated_conjecture,
~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]),c_0_56]) ).
cnf(c_0_62,plain,
( m1_subset_1(k3_subset_1(X2,X1),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_63,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU447+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.18/0.33 % Computer : n020.cluster.edu
% 0.18/0.33 % Model : x86_64 x86_64
% 0.18/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.33 % Memory : 8042.1875MB
% 0.18/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.33 % CPULimit : 300
% 0.18/0.33 % WCLimit : 300
% 0.18/0.33 % DateTime : Wed Aug 23 23:05:16 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 4.18/4.22 % Version : CSE_E---1.5
% 4.18/4.22 % Problem : theBenchmark.p
% 4.18/4.22 % Proof found
% 4.18/4.22 % SZS status Theorem for theBenchmark.p
% 4.18/4.22 % SZS output start Proof
% See solution above
% 4.18/4.23 % Total time : 3.653000 s
% 4.18/4.23 % SZS output end Proof
% 4.18/4.23 % Total time : 3.657000 s
%------------------------------------------------------------------------------