TSTP Solution File: COM016+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM016+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 18:36:19 EDT 2023
% Result : Theorem 0.19s 0.68s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 38
% Syntax : Number of formulae : 53 ( 7 unt; 35 typ; 0 def)
% Number of atoms : 81 ( 4 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 89 ( 26 ~; 35 |; 28 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 61 ( 29 >; 32 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 6 con; 0-4 aty)
% Number of variables : 10 ( 0 sgn; 2 !; 6 ?; 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,
xa: $i ).
tff(decl_34,type,
xb: $i ).
tff(decl_35,type,
xc: $i ).
tff(decl_36,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
esk3_1: $i > $i ).
tff(decl_39,type,
esk4_1: $i > $i ).
tff(decl_40,type,
esk5_1: $i > $i ).
tff(decl_41,type,
esk6_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
esk7_1: $i > $i ).
tff(decl_43,type,
esk8_1: $i > $i ).
tff(decl_44,type,
esk9_1: $i > $i ).
tff(decl_45,type,
esk10_1: $i > $i ).
tff(decl_46,type,
esk11_1: $i > $i ).
tff(decl_47,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk20_0: $i ).
tff(decl_56,type,
esk21_0: $i ).
fof(m__,conjecture,
? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& ( X1 = xb
| aReductOfIn0(xb,X1,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X1,xR)
& sdtmndtplgtdt0(X2,xR,xb) )
| sdtmndtplgtdt0(X1,xR,xb)
| sdtmndtasgtdt0(X1,xR,xb) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__731_02,hypothesis,
( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731_02) ).
fof(m__731,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
fof(c_0_3,negated_conjecture,
~ ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& ( X1 = xb
| aReductOfIn0(xb,X1,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X1,xR)
& sdtmndtplgtdt0(X2,xR,xb) )
| sdtmndtplgtdt0(X1,xR,xb)
| sdtmndtasgtdt0(X1,xR,xb) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,negated_conjecture,
! [X76,X77] :
( ( X76 != xb
| ~ aElement0(X76)
| ~ aReductOfIn0(X76,xa,xR) )
& ( ~ aReductOfIn0(xb,X76,xR)
| ~ aElement0(X76)
| ~ aReductOfIn0(X76,xa,xR) )
& ( ~ aElement0(X77)
| ~ aReductOfIn0(X77,X76,xR)
| ~ sdtmndtplgtdt0(X77,xR,xb)
| ~ aElement0(X76)
| ~ aReductOfIn0(X76,xa,xR) )
& ( ~ sdtmndtplgtdt0(X76,xR,xb)
| ~ aElement0(X76)
| ~ aReductOfIn0(X76,xa,xR) )
& ( ~ sdtmndtasgtdt0(X76,xR,xb)
| ~ aElement0(X76)
| ~ aReductOfIn0(X76,xa,xR) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_5,hypothesis,
( ( aElement0(esk20_0)
| aReductOfIn0(xb,xa,xR) )
& ( aReductOfIn0(esk20_0,xa,xR)
| aReductOfIn0(xb,xa,xR) )
& ( sdtmndtplgtdt0(esk20_0,xR,xb)
| aReductOfIn0(xb,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( aElement0(esk21_0)
| aReductOfIn0(xc,xa,xR) )
& ( aReductOfIn0(esk21_0,xa,xR)
| aReductOfIn0(xc,xa,xR) )
& ( sdtmndtplgtdt0(esk21_0,xR,xc)
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xc) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__731_02])])]) ).
cnf(c_0_6,negated_conjecture,
( X1 != xb
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,xa,xR) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_8,hypothesis,
( aReductOfIn0(esk20_0,xa,xR)
| aReductOfIn0(xb,xa,xR) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
~ aReductOfIn0(xb,xa,xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_6]),c_0_7])]) ).
cnf(c_0_10,hypothesis,
( aElement0(esk20_0)
| aReductOfIn0(xb,xa,xR) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,hypothesis,
( sdtmndtplgtdt0(esk20_0,xR,xb)
| aReductOfIn0(xb,xa,xR) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( ~ sdtmndtplgtdt0(X1,xR,xb)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,xa,xR) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,hypothesis,
aReductOfIn0(esk20_0,xa,xR),
inference(sr,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,hypothesis,
aElement0(esk20_0),
inference(sr,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_15,hypothesis,
sdtmndtplgtdt0(esk20_0,xR,xb),
inference(sr,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_16,negated_conjecture,
~ sdtmndtplgtdt0(esk20_0,xR,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,hypothesis,
$false,
inference(sr,[status(thm)],[c_0_15,c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM016+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 13:28:07 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.68 % Version : CSE_E---1.5
% 0.19/0.68 % Problem : theBenchmark.p
% 0.19/0.68 % Proof found
% 0.19/0.68 % SZS status Theorem for theBenchmark.p
% 0.19/0.68 % SZS output start Proof
% See solution above
% 0.19/0.68 % Total time : 0.096000 s
% 0.19/0.68 % SZS output end Proof
% 0.19/0.68 % Total time : 0.098000 s
%------------------------------------------------------------------------------