TSTP Solution File: ALG225+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG225+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 : n023.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 : Wed Aug 30 16:06:52 EDT 2023
% Result : Theorem 4.63s 4.68s
% Output : CNFRefutation 4.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 63
% Syntax : Number of formulae : 123 ( 23 unt; 49 typ; 0 def)
% Number of atoms : 224 ( 53 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 244 ( 94 ~; 95 |; 25 &)
% ( 7 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 55 ( 36 >; 19 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 13 con; 0-3 aty)
% Number of variables : 125 ( 4 sgn; 70 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v1_xboole_0: $i > $o ).
tff(decl_23,type,
v2_relat_1: $i > $o ).
tff(decl_24,type,
m1_pboole: ( $i * $i ) > $o ).
tff(decl_25,type,
k1_pboole: $i > $i ).
tff(decl_26,type,
k1_closure3: ( $i * $i ) > $i ).
tff(decl_27,type,
k7_relat_1: ( $i * $i ) > $i ).
tff(decl_28,type,
k1_funct_4: ( $i * $i ) > $i ).
tff(decl_29,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_30,type,
v1_fraenkel: $i > $o ).
tff(decl_31,type,
v1_finset_1: $i > $o ).
tff(decl_32,type,
v1_funct_1: $i > $o ).
tff(decl_33,type,
v3_relat_1: $i > $o ).
tff(decl_34,type,
v1_pre_circ: ( $i * $i ) > $o ).
tff(decl_35,type,
k1_zfmisc_1: $i > $i ).
tff(decl_36,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_37,type,
v1_relat_1: $i > $o ).
tff(decl_38,type,
v2_funct_1: $i > $o ).
tff(decl_39,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_40,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_41,type,
a_2_0_closure3: ( $i * $i ) > $i ).
tff(decl_42,type,
k1_relat_1: $i > $i ).
tff(decl_43,type,
k1_xboole_0: $i ).
tff(decl_44,type,
k2_funcop_1: ( $i * $i ) > $i ).
tff(decl_45,type,
a_2_1_closure3: ( $i * $i ) > $i ).
tff(decl_46,type,
esk1_0: $i ).
tff(decl_47,type,
esk2_0: $i ).
tff(decl_48,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk5_1: $i > $i ).
tff(decl_51,type,
esk6_1: $i > $i ).
tff(decl_52,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk9_0: $i ).
tff(decl_55,type,
esk10_0: $i ).
tff(decl_56,type,
esk11_0: $i ).
tff(decl_57,type,
esk12_0: $i ).
tff(decl_58,type,
esk13_1: $i > $i ).
tff(decl_59,type,
esk14_0: $i ).
tff(decl_60,type,
esk15_0: $i ).
tff(decl_61,type,
esk16_1: $i > $i ).
tff(decl_62,type,
esk17_1: $i > $i ).
tff(decl_63,type,
esk18_0: $i ).
tff(decl_64,type,
esk19_1: $i > $i ).
tff(decl_65,type,
esk20_0: $i ).
tff(decl_66,type,
esk21_1: $i > $i ).
tff(decl_67,type,
esk22_1: $i > $i ).
tff(decl_68,type,
esk23_0: $i ).
tff(decl_69,type,
esk24_0: $i ).
tff(decl_70,type,
esk25_2: ( $i * $i ) > $i ).
fof(fraenkel_a_2_0_closure3,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_pboole(X3,X2) )
=> ( r2_hidden(X1,a_2_0_closure3(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,X2)
& X1 = X4
& k1_funct_1(X3,X4) != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_closure3) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(t6_closure3,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X1) )
=> X2 = k1_funct_4(k1_pboole(X1),k7_relat_1(X2,k1_closure3(X1,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_closure3) ).
fof(d3_closure3,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( X3 = k1_closure3(X1,X2)
<=> X3 = a_2_0_closure3(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_closure3) ).
fof(d3_pboole,axiom,
! [X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( m1_pboole(X2,X1)
<=> k1_relat_1(X2) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pboole) ).
fof(dt_m1_pboole,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v1_relat_1(X2)
& v1_funct_1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_pboole) ).
fof(d16_pboole,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v2_relat_1(X2)
<=> ! [X3] :
~ ( r2_hidden(X3,X1)
& v1_xboole_0(k1_funct_1(X2,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_pboole) ).
fof(t1_closure3,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( m1_pboole(X3,X1)
=> k1_funct_4(X2,X3) = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_closure3) ).
fof(d6_pboole,axiom,
! [X1] : k1_pboole(X1) = k2_funcop_1(X1,k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_pboole) ).
fof(t97_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(k1_relat_1(X2),X1)
=> k7_relat_1(X2,X1) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t97_relat_1) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(dt_k1_pboole,axiom,
! [X1] : m1_pboole(k1_pboole(X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_pboole) ).
fof(c_0_14,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_pboole(X3,X2) )
=> ( r2_hidden(X1,a_2_0_closure3(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,X2)
& X1 = X4
& k1_funct_1(X3,X4) != k1_xboole_0 ) ) ),
inference(fof_simplification,[status(thm)],[fraenkel_a_2_0_closure3]) ).
fof(c_0_15,plain,
! [X58,X59,X60,X62] :
( ( m1_subset_1(esk7_3(X58,X59,X60),X59)
| ~ r2_hidden(X58,a_2_0_closure3(X59,X60))
| v1_xboole_0(X59)
| ~ m1_pboole(X60,X59) )
& ( X58 = esk7_3(X58,X59,X60)
| ~ r2_hidden(X58,a_2_0_closure3(X59,X60))
| v1_xboole_0(X59)
| ~ m1_pboole(X60,X59) )
& ( k1_funct_1(X60,esk7_3(X58,X59,X60)) != k1_xboole_0
| ~ r2_hidden(X58,a_2_0_closure3(X59,X60))
| v1_xboole_0(X59)
| ~ m1_pboole(X60,X59) )
& ( ~ m1_subset_1(X62,X59)
| X58 != X62
| k1_funct_1(X60,X62) = k1_xboole_0
| r2_hidden(X58,a_2_0_closure3(X59,X60))
| v1_xboole_0(X59)
| ~ m1_pboole(X60,X59) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).
fof(c_0_16,plain,
! [X96,X97] :
( ~ r2_hidden(X96,X97)
| m1_subset_1(X96,X97) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_17,plain,
! [X32,X33,X34,X35,X36] :
( ( ~ r1_tarski(X32,X33)
| ~ r2_hidden(X34,X32)
| r2_hidden(X34,X33) )
& ( r2_hidden(esk4_2(X35,X36),X35)
| r1_tarski(X35,X36) )
& ( ~ r2_hidden(esk4_2(X35,X36),X36)
| r1_tarski(X35,X36) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
fof(c_0_18,plain,
! [X112,X113] :
( ~ r2_hidden(X112,X113)
| ~ v1_xboole_0(X113) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_19,plain,
( k1_funct_1(X4,X1) = k1_xboole_0
| r2_hidden(X3,a_2_0_closure3(X2,X4))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2)
| X3 != X1
| ~ m1_pboole(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( r2_hidden(esk4_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X1) )
=> X2 = k1_funct_4(k1_pboole(X1),k7_relat_1(X2,k1_closure3(X1,X2))) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t6_closure3])]) ).
cnf(c_0_24,plain,
( k1_funct_1(X1,X2) = k1_xboole_0
| r2_hidden(X2,a_2_0_closure3(X3,X1))
| v1_xboole_0(X3)
| ~ m1_subset_1(X2,X3)
| ~ m1_pboole(X1,X3) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( r1_tarski(X1,X2)
| m1_subset_1(esk4_2(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( r1_tarski(X1,X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
fof(c_0_27,negated_conjecture,
( ~ v1_xboole_0(esk1_0)
& v2_relat_1(esk2_0)
& m1_pboole(esk2_0,esk1_0)
& esk2_0 != k1_funct_4(k1_pboole(esk1_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_28,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( X3 = k1_closure3(X1,X2)
<=> X3 = a_2_0_closure3(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[d3_closure3]) ).
fof(c_0_29,plain,
! [X30,X31] :
( ( ~ m1_pboole(X31,X30)
| k1_relat_1(X31) = X30
| ~ v1_relat_1(X31)
| ~ v1_funct_1(X31) )
& ( k1_relat_1(X31) != X30
| m1_pboole(X31,X30)
| ~ v1_relat_1(X31)
| ~ v1_funct_1(X31) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pboole])])]) ).
fof(c_0_30,plain,
! [X44,X45] :
( ( v1_relat_1(X45)
| ~ m1_pboole(X45,X44) )
& ( v1_funct_1(X45)
| ~ m1_pboole(X45,X44) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pboole])])]) ).
cnf(c_0_31,plain,
( k1_funct_1(X1,esk4_2(X2,X3)) = k1_xboole_0
| r1_tarski(X2,X3)
| r2_hidden(esk4_2(X2,X3),a_2_0_closure3(X2,X1))
| ~ m1_pboole(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_32,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_33,plain,
! [X27,X28,X29] :
( ( X29 != k1_closure3(X27,X28)
| X29 = a_2_0_closure3(X27,X28)
| ~ m1_pboole(X28,X27)
| v1_xboole_0(X27) )
& ( X29 != a_2_0_closure3(X27,X28)
| X29 = k1_closure3(X27,X28)
| ~ m1_pboole(X28,X27)
| v1_xboole_0(X27) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
cnf(c_0_34,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( v1_funct_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_37,plain,
! [X23,X24,X25] :
( ( ~ v2_relat_1(X24)
| ~ r2_hidden(X25,X23)
| ~ v1_xboole_0(k1_funct_1(X24,X25))
| ~ m1_pboole(X24,X23) )
& ( r2_hidden(esk3_2(X23,X24),X23)
| v2_relat_1(X24)
| ~ m1_pboole(X24,X23) )
& ( v1_xboole_0(k1_funct_1(X24,esk3_2(X23,X24)))
| v2_relat_1(X24)
| ~ m1_pboole(X24,X23) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d16_pboole])])])])]) ).
cnf(c_0_38,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_39,negated_conjecture,
( k1_funct_1(esk2_0,esk4_2(esk1_0,X1)) = k1_xboole_0
| r1_tarski(esk1_0,X1)
| r2_hidden(esk4_2(esk1_0,X1),a_2_0_closure3(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_40,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( m1_pboole(X3,X1)
=> k1_funct_4(X2,X3) = X3 ) ) ),
inference(fof_simplification,[status(thm)],[t1_closure3]) ).
fof(c_0_41,plain,
! [X38] : k1_pboole(X38) = k2_funcop_1(X38,k1_xboole_0),
inference(variable_rename,[status(thm)],[d6_pboole]) ).
cnf(c_0_42,plain,
( X1 = a_2_0_closure3(X2,X3)
| v1_xboole_0(X2)
| X1 != k1_closure3(X2,X3)
| ~ m1_pboole(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_43,plain,
! [X116,X117] :
( ~ v1_relat_1(X117)
| ~ r1_tarski(k1_relat_1(X117),X116)
| k7_relat_1(X117,X116) = X117 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t97_relat_1])]) ).
cnf(c_0_44,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_45,plain,
( ~ v2_relat_1(X1)
| ~ r2_hidden(X2,X3)
| ~ v1_xboole_0(k1_funct_1(X1,X2))
| ~ m1_pboole(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,negated_conjecture,
( k1_funct_1(esk2_0,esk4_2(esk1_0,a_2_0_closure3(esk1_0,esk2_0))) = k1_xboole_0
| r1_tarski(esk1_0,a_2_0_closure3(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,negated_conjecture,
v2_relat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_48,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_49,plain,
( m1_pboole(X1,X2)
| k1_relat_1(X1) != X2
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_50,plain,
! [X93,X94,X95] :
( v1_xboole_0(X93)
| ~ m1_pboole(X94,X93)
| ~ m1_pboole(X95,X93)
| k1_funct_4(X94,X95) = X95 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
fof(c_0_51,plain,
! [X41] : m1_pboole(k1_pboole(X41),X41),
inference(variable_rename,[status(thm)],[dt_k1_pboole]) ).
cnf(c_0_52,negated_conjecture,
esk2_0 != k1_funct_4(k1_pboole(esk1_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_53,plain,
k1_pboole(X1) = k2_funcop_1(X1,k1_xboole_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_54,plain,
( k1_closure3(X1,X2) = a_2_0_closure3(X1,X2)
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_55,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_56,plain,
( k7_relat_1(X1,X2) = X1
| ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_57,negated_conjecture,
k1_relat_1(esk2_0) = esk1_0,
inference(spm,[status(thm)],[c_0_44,c_0_32]) ).
cnf(c_0_58,negated_conjecture,
v1_relat_1(esk2_0),
inference(spm,[status(thm)],[c_0_36,c_0_32]) ).
cnf(c_0_59,negated_conjecture,
( r1_tarski(esk1_0,a_2_0_closure3(esk1_0,esk2_0))
| ~ r2_hidden(esk4_2(esk1_0,a_2_0_closure3(esk1_0,esk2_0)),X1)
| ~ m1_pboole(esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_60,plain,
( m1_pboole(X1,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_61,negated_conjecture,
v1_funct_1(esk2_0),
inference(spm,[status(thm)],[c_0_35,c_0_32]) ).
cnf(c_0_62,plain,
( v1_xboole_0(X1)
| k1_funct_4(X2,X3) = X3
| ~ m1_pboole(X2,X1)
| ~ m1_pboole(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_63,plain,
m1_pboole(k1_pboole(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_64,negated_conjecture,
esk2_0 != k1_funct_4(k2_funcop_1(esk1_0,k1_xboole_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))),
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_65,negated_conjecture,
k1_closure3(esk1_0,esk2_0) = a_2_0_closure3(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_32]),c_0_55]) ).
cnf(c_0_66,negated_conjecture,
( k7_relat_1(esk2_0,X1) = esk2_0
| ~ r1_tarski(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_67,negated_conjecture,
r1_tarski(esk1_0,a_2_0_closure3(esk1_0,esk2_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_57]),c_0_58]),c_0_61])]),c_0_21]) ).
cnf(c_0_68,negated_conjecture,
( k1_funct_4(X1,esk2_0) = esk2_0
| ~ m1_pboole(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_32]),c_0_55]) ).
cnf(c_0_69,plain,
m1_pboole(k2_funcop_1(X1,k1_xboole_0),X1),
inference(rw,[status(thm)],[c_0_63,c_0_53]) ).
cnf(c_0_70,negated_conjecture,
k1_funct_4(k2_funcop_1(esk1_0,k1_xboole_0),k7_relat_1(esk2_0,a_2_0_closure3(esk1_0,esk2_0))) != esk2_0,
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,negated_conjecture,
k7_relat_1(esk2_0,a_2_0_closure3(esk1_0,esk2_0)) = esk2_0,
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,negated_conjecture,
k1_funct_4(k2_funcop_1(esk1_0,k1_xboole_0),esk2_0) = esk2_0,
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_73,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_72])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG225+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 03:46:40 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.53/0.56 start to proof: theBenchmark
% 4.63/4.68 % Version : CSE_E---1.5
% 4.63/4.68 % Problem : theBenchmark.p
% 4.63/4.68 % Proof found
% 4.63/4.68 % SZS status Theorem for theBenchmark.p
% 4.63/4.68 % SZS output start Proof
% See solution above
% 4.63/4.69 % Total time : 4.110000 s
% 4.63/4.69 % SZS output end Proof
% 4.63/4.69 % Total time : 4.114000 s
%------------------------------------------------------------------------------