TSTP Solution File: COM012+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM012+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 : 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 18:36:17 EDT 2023
% Result : Theorem 0.20s 0.58s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 37 ( 10 unt; 11 typ; 0 def)
% Number of atoms : 89 ( 11 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 102 ( 39 ~; 42 |; 15 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 7 >; 9 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn; 14 !; 0 ?; 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,
xx: $i ).
tff(decl_29,type,
xR: $i ).
tff(decl_30,type,
xy: $i ).
tff(decl_31,type,
xz: $i ).
tff(decl_32,type,
esk1_3: ( $i * $i * $i ) > $i ).
fof(m__,conjecture,
( ( sdtmndtasgtdt0(xx,xR,xy)
& sdtmndtasgtdt0(xy,xR,xz) )
=> sdtmndtasgtdt0(xx,xR,xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
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/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
fof(mTCTrans,axiom,
! [X1,X2,X3,X4] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3)
& aElement0(X4) )
=> ( ( sdtmndtplgtdt0(X1,X2,X3)
& sdtmndtplgtdt0(X3,X2,X4) )
=> sdtmndtplgtdt0(X1,X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCTrans) ).
fof(m__349,hypothesis,
( aElement0(xx)
& aRewritingSystem0(xR)
& aElement0(xy)
& aElement0(xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__349) ).
fof(c_0_4,negated_conjecture,
~ ( ( sdtmndtasgtdt0(xx,xR,xy)
& sdtmndtasgtdt0(xy,xR,xz) )
=> sdtmndtasgtdt0(xx,xR,xz) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,plain,
! [X17,X18,X19] :
( ( ~ sdtmndtasgtdt0(X17,X18,X19)
| X17 = X19
| sdtmndtplgtdt0(X17,X18,X19)
| ~ aElement0(X17)
| ~ aRewritingSystem0(X18)
| ~ aElement0(X19) )
& ( X17 != X19
| sdtmndtasgtdt0(X17,X18,X19)
| ~ aElement0(X17)
| ~ aRewritingSystem0(X18)
| ~ aElement0(X19) )
& ( ~ sdtmndtplgtdt0(X17,X18,X19)
| sdtmndtasgtdt0(X17,X18,X19)
| ~ aElement0(X17)
| ~ aRewritingSystem0(X18)
| ~ aElement0(X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCRDef])])]) ).
fof(c_0_6,negated_conjecture,
( sdtmndtasgtdt0(xx,xR,xy)
& sdtmndtasgtdt0(xy,xR,xz)
& ~ sdtmndtasgtdt0(xx,xR,xz) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
fof(c_0_7,plain,
! [X13,X14,X15,X16] :
( ~ aElement0(X13)
| ~ aRewritingSystem0(X14)
| ~ aElement0(X15)
| ~ aElement0(X16)
| ~ sdtmndtplgtdt0(X13,X14,X15)
| ~ sdtmndtplgtdt0(X15,X14,X16)
| sdtmndtplgtdt0(X13,X14,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCTrans])]) ).
cnf(c_0_8,plain,
( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
sdtmndtasgtdt0(xy,xR,xz),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__349]) ).
cnf(c_0_11,hypothesis,
aElement0(xz),
inference(split_conjunct,[status(thm)],[m__349]) ).
cnf(c_0_12,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__349]) ).
cnf(c_0_13,negated_conjecture,
~ sdtmndtasgtdt0(xx,xR,xz),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__349]) ).
cnf(c_0_16,plain,
( sdtmndtplgtdt0(X1,X2,X4)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,negated_conjecture,
( xz = xy
| sdtmndtplgtdt0(xy,xR,xz) ),
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])]) ).
cnf(c_0_18,negated_conjecture,
~ sdtmndtplgtdt0(xx,xR,xz),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_10]),c_0_11]),c_0_15])]) ).
cnf(c_0_19,negated_conjecture,
( xz = xy
| sdtmndtplgtdt0(X1,xR,xz)
| ~ sdtmndtplgtdt0(X1,xR,xy)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_10]),c_0_11]),c_0_12])]) ).
cnf(c_0_20,negated_conjecture,
sdtmndtasgtdt0(xx,xR,xy),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( xz = xy
| ~ sdtmndtplgtdt0(xx,xR,xy) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15])]) ).
cnf(c_0_22,negated_conjecture,
( xx = xy
| sdtmndtplgtdt0(xx,xR,xy) ),
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_20]),c_0_10]),c_0_12]),c_0_15])]) ).
cnf(c_0_23,negated_conjecture,
( xx = xy
| xz = xy ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
xz = xy,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_23]),c_0_9])]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_24]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 13:24:20 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.58 % Version : CSE_E---1.5
% 0.20/0.58 % Problem : theBenchmark.p
% 0.20/0.58 % Proof found
% 0.20/0.58 % SZS status Theorem for theBenchmark.p
% 0.20/0.58 % SZS output start Proof
% See solution above
% 0.55/0.59 % Total time : 0.009000 s
% 0.55/0.59 % SZS output end Proof
% 0.55/0.59 % Total time : 0.011000 s
%------------------------------------------------------------------------------