TSTP Solution File: ALG223+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG223+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 : n031.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 16:06:50 EDT 2023
% Result : Theorem 113.07s 113.08s
% Output : CNFRefutation 113.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 40
% Syntax : Number of formulae : 67 ( 10 unt; 37 typ; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 138 ( 57 ~; 52 |; 14 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 24 >; 17 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-5 aty)
% Number of variables : 59 ( 0 sgn; 28 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
m1_pboole: ( $i * $i ) > $o ).
tff(decl_23,type,
k1_closure2: ( $i * $i ) > $i ).
tff(decl_24,type,
k1_zfmisc_1: $i > $i ).
tff(decl_25,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_26,type,
r1_closure3: ( $i * $i * $i * $i ) > $o ).
tff(decl_27,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_28,type,
v1_xboole_0: $i > $o ).
tff(decl_29,type,
v1_fraenkel: $i > $o ).
tff(decl_30,type,
v1_finset_1: $i > $o ).
tff(decl_31,type,
v1_funct_1: $i > $o ).
tff(decl_32,type,
v1_relat_1: $i > $o ).
tff(decl_33,type,
v2_funct_1: $i > $o ).
tff(decl_34,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_35,type,
k1_xboole_0: $i ).
tff(decl_36,type,
v1_pralg_2: $i > $o ).
tff(decl_37,type,
esk1_0: $i ).
tff(decl_38,type,
esk2_0: $i ).
tff(decl_39,type,
esk3_0: $i ).
tff(decl_40,type,
esk4_0: $i ).
tff(decl_41,type,
esk5_0: $i ).
tff(decl_42,type,
esk6_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
esk7_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_44,type,
esk8_1: $i > $i ).
tff(decl_45,type,
esk9_1: $i > $i ).
tff(decl_46,type,
esk10_0: $i ).
tff(decl_47,type,
esk11_0: $i ).
tff(decl_48,type,
esk12_0: $i ).
tff(decl_49,type,
esk13_1: $i > $i ).
tff(decl_50,type,
esk14_0: $i ).
tff(decl_51,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk16_0: $i ).
tff(decl_53,type,
esk17_1: $i > $i ).
tff(decl_54,type,
esk18_0: $i ).
tff(decl_55,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk20_1: $i > $i ).
tff(decl_57,type,
esk21_0: $i ).
tff(decl_58,type,
esk22_1: $i > $i ).
fof(t4_closure3,conjecture,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k1_closure2(X1,X2)))
=> ( ( r1_closure3(X1,X2,X4,X3)
& r1_closure3(X1,X2,X5,X4) )
=> r1_closure3(X1,X2,X5,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_closure3) ).
fof(d1_closure3,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
=> ( r1_closure3(X1,X2,X3,X4)
<=> ! [X5] :
~ ( r2_hidden(X5,X4)
& ! [X6] :
~ ( r2_hidden(X6,X3)
& r1_tarski(X5,X6) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_closure3) ).
fof(t1_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X2,X3) )
=> r1_tarski(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k1_closure2(X1,X2)))
=> ( ( r1_closure3(X1,X2,X4,X3)
& r1_closure3(X1,X2,X5,X4) )
=> r1_closure3(X1,X2,X5,X3) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t4_closure3]) ).
fof(c_0_4,plain,
! [X20,X21,X22,X23,X24,X27] :
( ( r2_hidden(esk6_5(X20,X21,X22,X23,X24),X22)
| ~ r2_hidden(X24,X23)
| ~ r1_closure3(X20,X21,X22,X23)
| ~ m1_subset_1(X23,k1_zfmisc_1(k1_closure2(X20,X21)))
| ~ m1_subset_1(X22,k1_zfmisc_1(k1_closure2(X20,X21)))
| ~ m1_pboole(X21,X20) )
& ( r1_tarski(X24,esk6_5(X20,X21,X22,X23,X24))
| ~ r2_hidden(X24,X23)
| ~ r1_closure3(X20,X21,X22,X23)
| ~ m1_subset_1(X23,k1_zfmisc_1(k1_closure2(X20,X21)))
| ~ m1_subset_1(X22,k1_zfmisc_1(k1_closure2(X20,X21)))
| ~ m1_pboole(X21,X20) )
& ( r2_hidden(esk7_4(X20,X21,X22,X23),X23)
| r1_closure3(X20,X21,X22,X23)
| ~ m1_subset_1(X23,k1_zfmisc_1(k1_closure2(X20,X21)))
| ~ m1_subset_1(X22,k1_zfmisc_1(k1_closure2(X20,X21)))
| ~ m1_pboole(X21,X20) )
& ( ~ r2_hidden(X27,X22)
| ~ r1_tarski(esk7_4(X20,X21,X22,X23),X27)
| r1_closure3(X20,X21,X22,X23)
| ~ m1_subset_1(X23,k1_zfmisc_1(k1_closure2(X20,X21)))
| ~ m1_subset_1(X22,k1_zfmisc_1(k1_closure2(X20,X21)))
| ~ m1_pboole(X21,X20) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_closure3])])])])]) ).
fof(c_0_5,negated_conjecture,
( m1_pboole(esk2_0,esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0)))
& m1_subset_1(esk4_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0)))
& m1_subset_1(esk5_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0)))
& r1_closure3(esk1_0,esk2_0,esk4_0,esk3_0)
& r1_closure3(esk1_0,esk2_0,esk5_0,esk4_0)
& ~ r1_closure3(esk1_0,esk2_0,esk5_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_6,plain,
! [X65,X66,X67] :
( ~ r1_tarski(X65,X66)
| ~ r1_tarski(X66,X67)
| r1_tarski(X65,X67) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
cnf(c_0_7,plain,
( r1_tarski(X1,esk6_5(X2,X3,X4,X5,X1))
| ~ r2_hidden(X1,X5)
| ~ r1_closure3(X2,X3,X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_closure2(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X2,X3)))
| ~ m1_pboole(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
r1_closure3(esk1_0,esk2_0,esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
~ r1_closure3(esk1_0,esk2_0,esk5_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( r1_closure3(X3,X4,X2,X5)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(esk7_4(X3,X4,X2,X5),X1)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_closure2(X3,X4)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X3,X4)))
| ~ m1_pboole(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( r1_tarski(X1,esk6_5(esk1_0,esk2_0,esk5_0,esk4_0,X1))
| ~ r2_hidden(X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10]),c_0_11])]) ).
cnf(c_0_17,plain,
( r2_hidden(esk6_5(X1,X2,X3,X4,X5),X3)
| ~ r2_hidden(X5,X4)
| ~ r1_closure3(X1,X2,X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_pboole(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,plain,
( r2_hidden(esk7_4(X1,X2,X3,X4),X4)
| r1_closure3(X1,X2,X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_pboole(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
( ~ r1_tarski(esk7_4(esk1_0,esk2_0,esk5_0,esk3_0),X1)
| ~ r2_hidden(X1,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_10]),c_0_11])]) ).
cnf(c_0_20,negated_conjecture,
( r1_tarski(X1,esk6_5(esk1_0,esk2_0,esk5_0,esk4_0,X2))
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X2,esk4_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( r2_hidden(esk6_5(esk1_0,esk2_0,esk5_0,esk4_0,X1),esk5_0)
| ~ r2_hidden(X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_8]),c_0_9]),c_0_10]),c_0_11])]) ).
cnf(c_0_22,negated_conjecture,
r1_closure3(esk1_0,esk2_0,esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_23,negated_conjecture,
( r2_hidden(esk7_4(esk1_0,esk2_0,X1,esk3_0),esk3_0)
| r1_closure3(esk1_0,esk2_0,X1,esk3_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_14]),c_0_11])]) ).
cnf(c_0_24,negated_conjecture,
( ~ r1_tarski(esk7_4(esk1_0,esk2_0,esk5_0,esk3_0),X1)
| ~ r2_hidden(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( r1_tarski(X1,esk6_5(esk1_0,esk2_0,esk4_0,esk3_0,X1))
| ~ r2_hidden(X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_22]),c_0_14]),c_0_9]),c_0_11])]) ).
cnf(c_0_26,negated_conjecture,
r2_hidden(esk7_4(esk1_0,esk2_0,esk5_0,esk3_0),esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_10]),c_0_12]) ).
cnf(c_0_27,negated_conjecture,
~ r2_hidden(esk6_5(esk1_0,esk2_0,esk4_0,esk3_0,esk7_4(esk1_0,esk2_0,esk5_0,esk3_0)),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_28,negated_conjecture,
( r2_hidden(esk6_5(esk1_0,esk2_0,esk4_0,esk3_0,X1),esk4_0)
| ~ r2_hidden(X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_22]),c_0_14]),c_0_9]),c_0_11])]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG223+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 03:09:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 113.07/113.08 % Version : CSE_E---1.5
% 113.07/113.08 % Problem : theBenchmark.p
% 113.07/113.08 % Proof found
% 113.07/113.08 % SZS status Theorem for theBenchmark.p
% 113.07/113.08 % SZS output start Proof
% See solution above
% 113.07/113.09 % Total time : 112.504000 s
% 113.07/113.09 % SZS output end Proof
% 113.07/113.09 % Total time : 112.511000 s
%------------------------------------------------------------------------------