TSTP Solution File: NUM533+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM533+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 10:38:29 EDT 2023
% Result : Theorem 0.21s 0.59s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of formulae : 32 ( 7 unt; 12 typ; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 67 ( 26 ~; 26 |; 10 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 8 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn; 7 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aSet0: $i > $o ).
tff(decl_23,type,
aElement0: $i > $o ).
tff(decl_24,type,
aElementOf0: ( $i * $i ) > $o ).
tff(decl_25,type,
isFinite0: $i > $o ).
tff(decl_26,type,
slcrc0: $i ).
tff(decl_27,type,
isCountable0: $i > $o ).
tff(decl_28,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(decl_29,type,
xA: $i ).
tff(decl_30,type,
xB: $i ).
tff(decl_31,type,
xC: $i ).
tff(decl_32,type,
esk1_1: $i > $i ).
tff(decl_33,type,
esk2_2: ( $i * $i ) > $i ).
fof(m__,conjecture,
( ( aSubsetOf0(xA,xB)
& aSubsetOf0(xB,xC) )
=> aSubsetOf0(xA,xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(m__522,hypothesis,
( aSet0(xA)
& aSet0(xB)
& aSet0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__522) ).
fof(c_0_3,negated_conjecture,
~ ( ( aSubsetOf0(xA,xB)
& aSubsetOf0(xB,xC) )
=> aSubsetOf0(xA,xC) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,plain,
! [X12,X13,X14,X15] :
( ( aSet0(X13)
| ~ aSubsetOf0(X13,X12)
| ~ aSet0(X12) )
& ( ~ aElementOf0(X14,X13)
| aElementOf0(X14,X12)
| ~ aSubsetOf0(X13,X12)
| ~ aSet0(X12) )
& ( aElementOf0(esk2_2(X12,X15),X15)
| ~ aSet0(X15)
| aSubsetOf0(X15,X12)
| ~ aSet0(X12) )
& ( ~ aElementOf0(esk2_2(X12,X15),X12)
| ~ aSet0(X15)
| aSubsetOf0(X15,X12)
| ~ aSet0(X12) ) ),
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)],[mDefSub])])])])])]) ).
fof(c_0_5,negated_conjecture,
( aSubsetOf0(xA,xB)
& aSubsetOf0(xB,xC)
& ~ aSubsetOf0(xA,xC) ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
aSubsetOf0(xB,xC),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
aSet0(xC),
inference(split_conjunct,[status(thm)],[m__522]) ).
cnf(c_0_9,negated_conjecture,
aSubsetOf0(xA,xB),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,hypothesis,
aSet0(xB),
inference(split_conjunct,[status(thm)],[m__522]) ).
cnf(c_0_11,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( aElementOf0(X1,xC)
| ~ aElementOf0(X1,xB) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_13,negated_conjecture,
( aElementOf0(X1,xB)
| ~ aElementOf0(X1,xA) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_9]),c_0_10])]) ).
cnf(c_0_14,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,hypothesis,
aSet0(xA),
inference(split_conjunct,[status(thm)],[m__522]) ).
cnf(c_0_16,negated_conjecture,
( aSubsetOf0(X1,xC)
| ~ aElementOf0(esk2_2(xC,X1),xB)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_8])]) ).
cnf(c_0_17,negated_conjecture,
( aSubsetOf0(xA,X1)
| aElementOf0(esk2_2(X1,xA),xB)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_18,negated_conjecture,
~ aSubsetOf0(xA,xC),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_15]),c_0_8])]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM533+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n022.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 : Fri Aug 25 12:55:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.59 % Version : CSE_E---1.5
% 0.21/0.59 % Problem : theBenchmark.p
% 0.21/0.59 % Proof found
% 0.21/0.59 % SZS status Theorem for theBenchmark.p
% 0.21/0.59 % SZS output start Proof
% See solution above
% 0.21/0.59 % Total time : 0.008000 s
% 0.21/0.59 % SZS output end Proof
% 0.21/0.59 % Total time : 0.011000 s
%------------------------------------------------------------------------------