TSTP Solution File: COM018+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM018+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 : n007.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 0.18s 0.55s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 36
% Syntax : Number of formulae : 45 ( 9 unt; 31 typ; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 6 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-4 aty)
% Number of variables : 11 ( 1 sgn; 5 !; 3 ?; 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,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
esk3_1: $i > $i ).
tff(decl_42,type,
esk4_1: $i > $i ).
tff(decl_43,type,
esk5_1: $i > $i ).
tff(decl_44,type,
esk6_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
esk7_1: $i > $i ).
tff(decl_46,type,
esk8_1: $i > $i ).
tff(decl_47,type,
esk9_1: $i > $i ).
tff(decl_48,type,
esk10_1: $i > $i ).
tff(decl_49,type,
esk11_1: $i > $i ).
tff(decl_50,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk14_3: ( $i * $i * $i ) > $i ).
fof(m__,conjecture,
? [X1] : aNormalFormOfIn0(X1,xw,xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mTermNF,axiom,
! [X1] :
( ( aRewritingSystem0(X1)
& isTerminating0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ? [X3] : aNormalFormOfIn0(X3,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTermNF) ).
fof(m__656_01,hypothesis,
( isLocallyConfluent0(xR)
& isTerminating0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656_01) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).
fof(m__799,hypothesis,
( aElement0(xw)
& sdtmndtasgtdt0(xu,xR,xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__799) ).
fof(c_0_5,negated_conjecture,
~ ? [X1] : aNormalFormOfIn0(X1,xw,xR),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_6,negated_conjecture,
! [X61] : ~ aNormalFormOfIn0(X61,xw,xR),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
fof(c_0_7,plain,
! [X54,X55] :
( ~ aRewritingSystem0(X54)
| ~ isTerminating0(X54)
| ~ aElement0(X55)
| aNormalFormOfIn0(esk13_2(X54,X55),X55,X54) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTermNF])])])]) ).
cnf(c_0_8,negated_conjecture,
~ aNormalFormOfIn0(X1,xw,xR),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( aNormalFormOfIn0(esk13_2(X1,X2),X2,X1)
| ~ aRewritingSystem0(X1)
| ~ isTerminating0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,hypothesis,
isTerminating0(xR),
inference(split_conjunct,[status(thm)],[m__656_01]) ).
cnf(c_0_11,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__656]) ).
cnf(c_0_12,hypothesis,
aElement0(xw),
inference(split_conjunct,[status(thm)],[m__799]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM018+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n007.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 12:51:28 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.53 start to proof: theBenchmark
% 0.18/0.55 % Version : CSE_E---1.5
% 0.18/0.55 % Problem : theBenchmark.p
% 0.18/0.55 % Proof found
% 0.18/0.55 % SZS status Theorem for theBenchmark.p
% 0.18/0.55 % SZS output start Proof
% See solution above
% 0.18/0.55 % Total time : 0.011000 s
% 0.18/0.55 % SZS output end Proof
% 0.18/0.55 % Total time : 0.013000 s
%------------------------------------------------------------------------------