TSTP Solution File: COM023+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM023+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 : n012.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 18:36:22 EDT 2023
% Result : Theorem 0.19s 0.55s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 29
% Syntax : Number of formulae : 50 ( 7 unt; 25 typ; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 44 ( 5 avg)
% Number of connectives : 212 ( 92 ~; 94 |; 22 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 46 ( 24 >; 22 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-4 aty)
% Number of variables : 36 ( 0 sgn; 15 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aElement0: $i > $o ).
tff(decl_23,type,
aRewritingSystem0: $i > $o ).
tff(decl_24,type,
aReductOfIn0: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_26,type,
sdtmndtplgtdt0: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
sdtmndtasgtdt0: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
isConfluent0: $i > $o ).
tff(decl_29,type,
isLocallyConfluent0: $i > $o ).
tff(decl_30,type,
isTerminating0: $i > $o ).
tff(decl_31,type,
aNormalFormOfIn0: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
xR: $i ).
tff(decl_33,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
esk3_1: $i > $i ).
tff(decl_36,type,
esk4_1: $i > $i ).
tff(decl_37,type,
esk5_1: $i > $i ).
tff(decl_38,type,
esk6_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
esk7_1: $i > $i ).
tff(decl_40,type,
esk8_1: $i > $i ).
tff(decl_41,type,
esk9_1: $i > $i ).
tff(decl_42,type,
esk10_1: $i > $i ).
tff(decl_43,type,
esk11_1: $i > $i ).
tff(decl_44,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_46,type,
esk14_3: ( $i * $i * $i ) > $i ).
fof(mCRDef,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isConfluent0(X1)
<=> ! [X2,X3,X4] :
( ( aElement0(X2)
& aElement0(X3)
& aElement0(X4)
& sdtmndtasgtdt0(X2,X1,X3)
& sdtmndtasgtdt0(X2,X1,X4) )
=> ? [X5] :
( aElement0(X5)
& sdtmndtasgtdt0(X3,X1,X5)
& sdtmndtasgtdt0(X4,X1,X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCRDef) ).
fof(m__715,hypothesis,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X2)
& sdtmndtasgtdt0(X1,xR,X3) )
=> ? [X4] :
( aElement0(X4)
& sdtmndtasgtdt0(X2,xR,X4)
& sdtmndtasgtdt0(X3,xR,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__715) ).
fof(m__,conjecture,
isConfluent0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).
fof(c_0_4,plain,
! [X25,X26,X27,X28,X33] :
( ( aElement0(esk2_4(X25,X26,X27,X28))
| ~ aElement0(X26)
| ~ aElement0(X27)
| ~ aElement0(X28)
| ~ sdtmndtasgtdt0(X26,X25,X27)
| ~ sdtmndtasgtdt0(X26,X25,X28)
| ~ isConfluent0(X25)
| ~ aRewritingSystem0(X25) )
& ( sdtmndtasgtdt0(X27,X25,esk2_4(X25,X26,X27,X28))
| ~ aElement0(X26)
| ~ aElement0(X27)
| ~ aElement0(X28)
| ~ sdtmndtasgtdt0(X26,X25,X27)
| ~ sdtmndtasgtdt0(X26,X25,X28)
| ~ isConfluent0(X25)
| ~ aRewritingSystem0(X25) )
& ( sdtmndtasgtdt0(X28,X25,esk2_4(X25,X26,X27,X28))
| ~ aElement0(X26)
| ~ aElement0(X27)
| ~ aElement0(X28)
| ~ sdtmndtasgtdt0(X26,X25,X27)
| ~ sdtmndtasgtdt0(X26,X25,X28)
| ~ isConfluent0(X25)
| ~ aRewritingSystem0(X25) )
& ( aElement0(esk3_1(X25))
| isConfluent0(X25)
| ~ aRewritingSystem0(X25) )
& ( aElement0(esk4_1(X25))
| isConfluent0(X25)
| ~ aRewritingSystem0(X25) )
& ( aElement0(esk5_1(X25))
| isConfluent0(X25)
| ~ aRewritingSystem0(X25) )
& ( sdtmndtasgtdt0(esk3_1(X25),X25,esk4_1(X25))
| isConfluent0(X25)
| ~ aRewritingSystem0(X25) )
& ( sdtmndtasgtdt0(esk3_1(X25),X25,esk5_1(X25))
| isConfluent0(X25)
| ~ aRewritingSystem0(X25) )
& ( ~ aElement0(X33)
| ~ sdtmndtasgtdt0(esk4_1(X25),X25,X33)
| ~ sdtmndtasgtdt0(esk5_1(X25),X25,X33)
| isConfluent0(X25)
| ~ aRewritingSystem0(X25) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCRDef])])])])]) ).
fof(c_0_5,hypothesis,
! [X57,X58,X59] :
( ( aElement0(esk14_3(X57,X58,X59))
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ sdtmndtasgtdt0(X57,xR,X58)
| ~ sdtmndtasgtdt0(X57,xR,X59) )
& ( sdtmndtasgtdt0(X58,xR,esk14_3(X57,X58,X59))
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ sdtmndtasgtdt0(X57,xR,X58)
| ~ sdtmndtasgtdt0(X57,xR,X59) )
& ( sdtmndtasgtdt0(X59,xR,esk14_3(X57,X58,X59))
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ sdtmndtasgtdt0(X57,xR,X58)
| ~ sdtmndtasgtdt0(X57,xR,X59) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__715])])])]) ).
fof(c_0_6,negated_conjecture,
~ isConfluent0(xR),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_7,plain,
( isConfluent0(X2)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk4_1(X2),X2,X1)
| ~ sdtmndtasgtdt0(esk5_1(X2),X2,X1)
| ~ aRewritingSystem0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(X2,X3,X1))
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X2,xR,X3)
| ~ sdtmndtasgtdt0(X2,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__656]) ).
cnf(c_0_10,negated_conjecture,
~ isConfluent0(xR),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
( aElement0(esk14_3(X1,X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,hypothesis,
( ~ sdtmndtasgtdt0(esk4_1(xR),xR,esk14_3(X1,X2,esk5_1(xR)))
| ~ sdtmndtasgtdt0(X1,xR,esk5_1(xR))
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aElement0(esk5_1(xR))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[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_13,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(X2,X1,X3))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ sdtmndtasgtdt0(X2,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,hypothesis,
( ~ sdtmndtasgtdt0(X1,xR,esk5_1(xR))
| ~ sdtmndtasgtdt0(X1,xR,esk4_1(xR))
| ~ aElement0(esk5_1(xR))
| ~ aElement0(esk4_1(xR))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
( sdtmndtasgtdt0(esk3_1(X1),X1,esk5_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,hypothesis,
( ~ sdtmndtasgtdt0(esk3_1(xR),xR,esk4_1(xR))
| ~ aElement0(esk5_1(xR))
| ~ aElement0(esk4_1(xR))
| ~ aElement0(esk3_1(xR)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_9])]),c_0_10]) ).
cnf(c_0_17,plain,
( sdtmndtasgtdt0(esk3_1(X1),X1,esk4_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,hypothesis,
( ~ aElement0(esk5_1(xR))
| ~ aElement0(esk4_1(xR))
| ~ aElement0(esk3_1(xR)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_9])]),c_0_10]) ).
cnf(c_0_19,plain,
( aElement0(esk5_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,hypothesis,
( ~ aElement0(esk4_1(xR))
| ~ aElement0(esk3_1(xR)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_9])]),c_0_10]) ).
cnf(c_0_21,plain,
( aElement0(esk4_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,hypothesis,
~ aElement0(esk3_1(xR)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_9])]),c_0_10]) ).
cnf(c_0_23,plain,
( aElement0(esk3_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_9])]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.34 % Computer : n012.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Aug 29 13:08:39 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.19/0.53 start to proof: theBenchmark
% 0.19/0.55 % Version : CSE_E---1.5
% 0.19/0.55 % Problem : theBenchmark.p
% 0.19/0.55 % Proof found
% 0.19/0.55 % SZS status Theorem for theBenchmark.p
% 0.19/0.55 % SZS output start Proof
% See solution above
% 0.19/0.55 % Total time : 0.011000 s
% 0.19/0.55 % SZS output end Proof
% 0.19/0.55 % Total time : 0.014000 s
%------------------------------------------------------------------------------