TSTP Solution File: COM021+4 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM021+4 : 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 : 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 0.54s 0.61s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 50
% Syntax : Number of formulae : 61 ( 5 unt; 47 typ; 0 def)
% Number of atoms : 96 ( 22 equ)
% Maximal formula atoms : 25 ( 6 avg)
% Number of connectives : 95 ( 13 ~; 40 |; 42 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 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 : 37 ( 37 usr; 18 con; 0-4 aty)
% Number of variables : 9 ( 1 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,
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 ).
tff(decl_55,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk20_0: $i ).
tff(decl_61,type,
esk21_0: $i ).
tff(decl_62,type,
esk22_0: $i ).
tff(decl_63,type,
esk23_0: $i ).
tff(decl_64,type,
esk24_0: $i ).
tff(decl_65,type,
esk25_0: $i ).
tff(decl_66,type,
esk26_0: $i ).
tff(decl_67,type,
esk27_0: $i ).
tff(decl_68,type,
esk28_0: $i ).
fof(m__850,hypothesis,
( aElement0(xx)
& ( xb = xx
| ( ( aReductOfIn0(xx,xb,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xb,xR)
& sdtmndtplgtdt0(X1,xR,xx) ) )
& sdtmndtplgtdt0(xb,xR,xx) ) )
& sdtmndtasgtdt0(xb,xR,xx)
& ( xd = xx
| ( ( aReductOfIn0(xx,xd,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xd,xR)
& sdtmndtplgtdt0(X1,xR,xx) ) )
& sdtmndtplgtdt0(xd,xR,xx) ) )
& sdtmndtasgtdt0(xd,xR,xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__850) ).
fof(m__818,hypothesis,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xw,xR)
& sdtmndtplgtdt0(X1,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ~ ? [X1] : aReductOfIn0(X1,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__818) ).
fof(m__,conjecture,
( xb = xd
| aReductOfIn0(xd,xb,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xb,xR)
& sdtmndtplgtdt0(X1,xR,xd) )
| sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c_0_3,hypothesis,
( aElement0(xx)
& ( aElement0(esk27_0)
| aReductOfIn0(xx,xb,xR)
| xb = xx )
& ( aReductOfIn0(esk27_0,xb,xR)
| aReductOfIn0(xx,xb,xR)
| xb = xx )
& ( sdtmndtplgtdt0(esk27_0,xR,xx)
| aReductOfIn0(xx,xb,xR)
| xb = xx )
& ( sdtmndtplgtdt0(xb,xR,xx)
| xb = xx )
& sdtmndtasgtdt0(xb,xR,xx)
& ( aElement0(esk28_0)
| aReductOfIn0(xx,xd,xR)
| xd = xx )
& ( aReductOfIn0(esk28_0,xd,xR)
| aReductOfIn0(xx,xd,xR)
| xd = xx )
& ( sdtmndtplgtdt0(esk28_0,xR,xx)
| aReductOfIn0(xx,xd,xR)
| xd = xx )
& ( sdtmndtplgtdt0(xd,xR,xx)
| xd = xx )
& sdtmndtasgtdt0(xd,xR,xx) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__850])])]) ).
fof(c_0_4,hypothesis,
! [X81] :
( aElement0(xd)
& ( aElement0(esk26_0)
| aReductOfIn0(xd,xw,xR)
| xw = xd )
& ( aReductOfIn0(esk26_0,xw,xR)
| aReductOfIn0(xd,xw,xR)
| xw = xd )
& ( sdtmndtplgtdt0(esk26_0,xR,xd)
| aReductOfIn0(xd,xw,xR)
| xw = xd )
& ( sdtmndtplgtdt0(xw,xR,xd)
| xw = xd )
& sdtmndtasgtdt0(xw,xR,xd)
& ~ aReductOfIn0(X81,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__818])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ( xb = xd
| aReductOfIn0(xd,xb,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xb,xR)
& sdtmndtplgtdt0(X1,xR,xd) )
| sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_6,hypothesis,
( aReductOfIn0(esk28_0,xd,xR)
| aReductOfIn0(xx,xd,xR)
| xd = xx ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,hypothesis,
~ aReductOfIn0(X1,xd,xR),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
! [X84] :
( xb != xd
& ~ aReductOfIn0(xd,xb,xR)
& ( ~ aElement0(X84)
| ~ aReductOfIn0(X84,xb,xR)
| ~ sdtmndtplgtdt0(X84,xR,xd) )
& ~ sdtmndtplgtdt0(xb,xR,xd)
& ~ sdtmndtasgtdt0(xb,xR,xd) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,hypothesis,
( sdtmndtplgtdt0(xb,xR,xx)
| xb = xx ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,hypothesis,
xx = xd,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).
cnf(c_0_11,negated_conjecture,
xb != xd,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ sdtmndtplgtdt0(xb,xR,xd),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]),c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM021+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n009.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 12:40:50 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.50/0.58 start to proof: theBenchmark
% 0.54/0.61 % Version : CSE_E---1.5
% 0.54/0.61 % Problem : theBenchmark.p
% 0.54/0.61 % Proof found
% 0.54/0.61 % SZS status Theorem for theBenchmark.p
% 0.54/0.61 % SZS output start Proof
% See solution above
% 0.54/0.61 % Total time : 0.026000 s
% 0.54/0.61 % SZS output end Proof
% 0.54/0.61 % Total time : 0.030000 s
%------------------------------------------------------------------------------