TSTP Solution File: COM021+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM021+1 : 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 : n009.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 18:36:21 EDT 2023
% Result : Theorem 0.53s 0.59s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 41
% Syntax : Number of formulae : 61 ( 15 unt; 33 typ; 0 def)
% Number of atoms : 127 ( 6 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 166 ( 67 ~; 71 |; 22 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 46 ( 24 >; 22 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 9 con; 0-4 aty)
% Number of variables : 37 ( 2 sgn; 21 !; 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,
xa: $i ).
tff(decl_34,type,
xb: $i ).
tff(decl_35,type,
xc: $i ).
tff(decl_36,type,
xu: $i ).
tff(decl_37,type,
xv: $i ).
tff(decl_38,type,
xw: $i ).
tff(decl_39,type,
xd: $i ).
tff(decl_40,type,
xx: $i ).
tff(decl_41,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
esk3_1: $i > $i ).
tff(decl_44,type,
esk4_1: $i > $i ).
tff(decl_45,type,
esk5_1: $i > $i ).
tff(decl_46,type,
esk6_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
esk7_1: $i > $i ).
tff(decl_48,type,
esk8_1: $i > $i ).
tff(decl_49,type,
esk9_1: $i > $i ).
tff(decl_50,type,
esk10_1: $i > $i ).
tff(decl_51,type,
esk11_1: $i > $i ).
tff(decl_52,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk14_3: ( $i * $i * $i ) > $i ).
fof(mNFRDef,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aNormalFormOfIn0(X3,X1,X2)
<=> ( aElement0(X3)
& sdtmndtasgtdt0(X1,X2,X3)
& ~ ? [X4] : aReductOfIn0(X4,X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
fof(mTCRDef,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X1,X2,X3)
<=> ( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
fof(m__818,hypothesis,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(m__799,hypothesis,
( aElement0(xw)
& sdtmndtasgtdt0(xu,xR,xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
fof(mTCDef,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X1,X2,X3)
<=> ( aReductOfIn0(X3,X1,X2)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,X2)
& sdtmndtplgtdt0(X4,X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).
fof(m__850,hypothesis,
( aElement0(xx)
& sdtmndtasgtdt0(xb,xR,xx)
& sdtmndtasgtdt0(xd,xR,xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__850) ).
fof(m__,conjecture,
sdtmndtasgtdt0(xb,xR,xd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_8,plain,
! [X48,X49,X50,X51,X52] :
( ( aElement0(X50)
| ~ aNormalFormOfIn0(X50,X48,X49)
| ~ aElement0(X48)
| ~ aRewritingSystem0(X49) )
& ( sdtmndtasgtdt0(X48,X49,X50)
| ~ aNormalFormOfIn0(X50,X48,X49)
| ~ aElement0(X48)
| ~ aRewritingSystem0(X49) )
& ( ~ aReductOfIn0(X51,X50,X49)
| ~ aNormalFormOfIn0(X50,X48,X49)
| ~ aElement0(X48)
| ~ aRewritingSystem0(X49) )
& ( ~ aElement0(X52)
| ~ sdtmndtasgtdt0(X48,X49,X52)
| aReductOfIn0(esk12_3(X48,X49,X52),X52,X49)
| aNormalFormOfIn0(X52,X48,X49)
| ~ aElement0(X48)
| ~ aRewritingSystem0(X49) ) ),
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)],[mNFRDef])])])])])]) ).
fof(c_0_9,plain,
! [X18,X19,X20] :
( ( ~ sdtmndtasgtdt0(X18,X19,X20)
| X18 = X20
| sdtmndtplgtdt0(X18,X19,X20)
| ~ aElement0(X18)
| ~ aRewritingSystem0(X19)
| ~ aElement0(X20) )
& ( X18 != X20
| sdtmndtasgtdt0(X18,X19,X20)
| ~ aElement0(X18)
| ~ aRewritingSystem0(X19)
| ~ aElement0(X20) )
& ( ~ sdtmndtplgtdt0(X18,X19,X20)
| sdtmndtasgtdt0(X18,X19,X20)
| ~ aElement0(X18)
| ~ aRewritingSystem0(X19)
| ~ aElement0(X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCRDef])])]) ).
cnf(c_0_10,plain,
( aElement0(X1)
| ~ aNormalFormOfIn0(X1,X2,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,hypothesis,
aNormalFormOfIn0(xd,xw,xR),
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_12,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__656]) ).
cnf(c_0_13,hypothesis,
aElement0(xw),
inference(split_conjunct,[status(thm)],[m__799]) ).
fof(c_0_14,plain,
! [X9,X10,X11,X13] :
( ( aElement0(esk1_3(X9,X10,X11))
| aReductOfIn0(X11,X9,X10)
| ~ sdtmndtplgtdt0(X9,X10,X11)
| ~ aElement0(X9)
| ~ aRewritingSystem0(X10)
| ~ aElement0(X11) )
& ( aReductOfIn0(esk1_3(X9,X10,X11),X9,X10)
| aReductOfIn0(X11,X9,X10)
| ~ sdtmndtplgtdt0(X9,X10,X11)
| ~ aElement0(X9)
| ~ aRewritingSystem0(X10)
| ~ aElement0(X11) )
& ( sdtmndtplgtdt0(esk1_3(X9,X10,X11),X10,X11)
| aReductOfIn0(X11,X9,X10)
| ~ sdtmndtplgtdt0(X9,X10,X11)
| ~ aElement0(X9)
| ~ aRewritingSystem0(X10)
| ~ aElement0(X11) )
& ( ~ aReductOfIn0(X11,X9,X10)
| sdtmndtplgtdt0(X9,X10,X11)
| ~ aElement0(X9)
| ~ aRewritingSystem0(X10)
| ~ aElement0(X11) )
& ( ~ aElement0(X13)
| ~ aReductOfIn0(X13,X9,X10)
| ~ sdtmndtplgtdt0(X13,X10,X11)
| sdtmndtplgtdt0(X9,X10,X11)
| ~ aElement0(X9)
| ~ aRewritingSystem0(X10)
| ~ aElement0(X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCDef])])])])]) ).
cnf(c_0_15,plain,
( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,hypothesis,
sdtmndtasgtdt0(xd,xR,xx),
inference(split_conjunct,[status(thm)],[m__850]) ).
cnf(c_0_17,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__850]) ).
cnf(c_0_18,hypothesis,
aElement0(xd),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_19,plain,
( ~ aReductOfIn0(X1,X2,X3)
| ~ aNormalFormOfIn0(X2,X4,X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_20,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_21,plain,
( aReductOfIn0(esk1_3(X1,X2,X3),X1,X2)
| aReductOfIn0(X3,X1,X2)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,hypothesis,
( xd = xx
| sdtmndtplgtdt0(xd,xR,xx) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_12]),c_0_17]),c_0_18])]) ).
cnf(c_0_23,hypothesis,
~ aReductOfIn0(X1,xd,xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_24,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,hypothesis,
xd = xx,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_12]),c_0_17]),c_0_18])]),c_0_23]),c_0_23]) ).
cnf(c_0_26,hypothesis,
sdtmndtasgtdt0(xb,xR,xx),
inference(split_conjunct,[status(thm)],[m__850]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : COM021+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 13:04:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.53/0.57 start to proof: theBenchmark
% 0.53/0.59 % Version : CSE_E---1.5
% 0.53/0.59 % Problem : theBenchmark.p
% 0.53/0.59 % Proof found
% 0.53/0.59 % SZS status Theorem for theBenchmark.p
% 0.53/0.59 % SZS output start Proof
% See solution above
% 0.53/0.60 % Total time : 0.015000 s
% 0.53/0.60 % SZS output end Proof
% 0.53/0.60 % Total time : 0.018000 s
%------------------------------------------------------------------------------