TSTP Solution File: SEU132+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU132+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 16:22:38 EDT 2023
% Result : Theorem 0.23s 0.66s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 42 ( 5 unt; 12 typ; 0 def)
% Number of atoms : 90 ( 11 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 97 ( 37 ~; 42 |; 10 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 6 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 77 ( 6 sgn; 30 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
subset: ( $i * $i ) > $o ).
tff(decl_24,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_25,type,
empty_set: $i ).
tff(decl_26,type,
empty: $i > $o ).
tff(decl_27,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_28,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
esk3_0: $i ).
tff(decl_30,type,
esk4_0: $i ).
tff(decl_31,type,
esk5_0: $i ).
tff(decl_32,type,
esk6_0: $i ).
tff(decl_33,type,
esk7_0: $i ).
fof(t33_xboole_1,conjecture,
! [X1,X2,X3] :
( subset(X1,X2)
=> subset(set_difference(X1,X3),set_difference(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_xboole_1) ).
fof(d4_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& ~ in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X3] :
( subset(X1,X2)
=> subset(set_difference(X1,X3),set_difference(X2,X3)) ),
inference(assume_negation,[status(cth)],[t33_xboole_1]) ).
fof(c_0_4,plain,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& ~ in(X4,X2) ) ) ),
inference(fof_simplification,[status(thm)],[d4_xboole_0]) ).
fof(c_0_5,plain,
! [X7,X8,X9,X10,X11] :
( ( ~ subset(X7,X8)
| ~ in(X9,X7)
| in(X9,X8) )
& ( in(esk1_2(X10,X11),X10)
| subset(X10,X11) )
& ( ~ in(esk1_2(X10,X11),X11)
| subset(X10,X11) ) ),
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_6,negated_conjecture,
( subset(esk5_0,esk6_0)
& ~ subset(set_difference(esk5_0,esk7_0),set_difference(esk6_0,esk7_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_7,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ( in(X16,X13)
| ~ in(X16,X15)
| X15 != set_difference(X13,X14) )
& ( ~ in(X16,X14)
| ~ in(X16,X15)
| X15 != set_difference(X13,X14) )
& ( ~ in(X17,X13)
| in(X17,X14)
| in(X17,X15)
| X15 != set_difference(X13,X14) )
& ( ~ in(esk2_3(X18,X19,X20),X20)
| ~ in(esk2_3(X18,X19,X20),X18)
| in(esk2_3(X18,X19,X20),X19)
| X20 = set_difference(X18,X19) )
& ( in(esk2_3(X18,X19,X20),X18)
| in(esk2_3(X18,X19,X20),X20)
| X20 = set_difference(X18,X19) )
& ( ~ in(esk2_3(X18,X19,X20),X19)
| in(esk2_3(X18,X19,X20),X20)
| X20 = set_difference(X18,X19) ) ),
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)],[c_0_4])])])])])]) ).
cnf(c_0_8,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
subset(esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_difference(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( in(X1,esk6_0)
| ~ in(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( in(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( subset(X1,esk6_0)
| ~ in(esk1_2(X1,esk6_0),esk5_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( subset(set_difference(X1,X2),X3)
| in(esk1_2(set_difference(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( in(X1,X3)
| in(X1,X4)
| ~ in(X1,X2)
| X4 != set_difference(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,negated_conjecture,
subset(set_difference(esk5_0,X1),esk6_0),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| X3 != set_difference(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,plain,
( in(X1,set_difference(X2,X3))
| in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( in(X1,esk6_0)
| ~ in(X1,set_difference(esk5_0,X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_18]) ).
cnf(c_0_22,plain,
( ~ in(X1,set_difference(X2,X3))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( subset(X1,set_difference(X2,X3))
| in(esk1_2(X1,set_difference(X2,X3)),X3)
| ~ in(esk1_2(X1,set_difference(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( subset(set_difference(esk5_0,X1),X2)
| in(esk1_2(set_difference(esk5_0,X1),X2),esk6_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_14]) ).
cnf(c_0_25,plain,
( subset(set_difference(X1,X2),X3)
| ~ in(esk1_2(set_difference(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_26,negated_conjecture,
( subset(set_difference(esk5_0,X1),set_difference(esk6_0,X2))
| in(esk1_2(set_difference(esk5_0,X1),set_difference(esk6_0,X2)),X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
~ subset(set_difference(esk5_0,esk7_0),set_difference(esk6_0,esk7_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,negated_conjecture,
subset(set_difference(esk5_0,X1),set_difference(esk6_0,X1)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU132+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 13:37:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.58 start to proof: theBenchmark
% 0.23/0.66 % Version : CSE_E---1.5
% 0.23/0.66 % Problem : theBenchmark.p
% 0.23/0.66 % Proof found
% 0.23/0.66 % SZS status Theorem for theBenchmark.p
% 0.23/0.66 % SZS output start Proof
% See solution above
% 0.23/0.66 % Total time : 0.064000 s
% 0.23/0.66 % SZS output end Proof
% 0.23/0.66 % Total time : 0.067000 s
%------------------------------------------------------------------------------