%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR027+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:03:44 AM UTC 2026
% Result : Theorem 57.11s 8.23s
% Output : CNFRefutation 57.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 51 ( 23 ~; 16 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 22 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_406,axiom,
! [X0] :
( ( isa(X0,'f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'))
& mtvisible('c$utptp$umember2610$umt') )
=> 'tptp$u8$u875'(X0,'f$urelationallexistsfn'(X0,'c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868')) ) ).
fof(ax2_407,axiom,
( mtvisible('c$utptp$umember2610$umt')
=> relationallexists('c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868') ) ).
fof(ax2_1377,axiom,
isa('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent')) ).
fof(ax2_1808,axiom,
genlmt('c$utptp$uspindlecollectormt','c$utptp$umember2610$umt') ).
fof(ax2_2981,axiom,
! [X0,X1,X2,X3] :
( ( relationallexists(X2,X1,X3)
& isa(X0,X1) )
=> isa('f$urelationallexistsfn'(X0,X2,X1,X3),X3) ) ).
fof(ax2_7347,axiom,
! [X0] :
( isa(X0,'c$utptpcol$u16$u31868')
=> 'tptpcol$u16$u31868'(X0) ) ).
fof(ax2_7997,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ) ).
fof(query127,conjecture,
? [X0] :
( mtvisible('c$utptp$uspindlecollectormt')
=> ( 'tptpcol$u16$u31868'(X0)
& 'tptp$u8$u875'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786',X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( mtvisible('c$utptp$uspindlecollectormt')
=> ( 'tptpcol$u16$u31868'(X0)
& 'tptp$u8$u875'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786',X0) ) ),
inference(negate_conjecture,[status(cth)],[query127]) ).
cnf(c0,plain,
( 'tptp$u8$u875'(X0,'f$urelationallexistsfn'(X0,'c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868'))
| ~ isa(X0,'f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'))
| ~ mtvisible('c$utptp$umember2610$umt') ),
inference(clausification,[status(esa)],[ax2_406]) ).
cnf(c1,plain,
( relationallexists('c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868')
| ~ mtvisible('c$utptp$umember2610$umt') ),
inference(clausification,[status(esa)],[ax2_407]) ).
cnf(c4,plain,
isa('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent')),
inference(clausification,[status(esa)],[ax2_1377]) ).
cnf(c10,plain,
genlmt('c$utptp$uspindlecollectormt','c$utptp$umember2610$umt'),
inference(clausification,[status(esa)],[ax2_1808]) ).
cnf(c12,plain,
( isa('f$urelationallexistsfn'(X0,X2,X1,X3),X3)
| ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1) ),
inference(clausification,[status(esa)],[ax2_2981]) ).
cnf(c22,plain,
( 'tptpcol$u16$u31868'(X0)
| ~ isa(X0,'c$utptpcol$u16$u31868') ),
inference(clausification,[status(esa)],[ax2_7347]) ).
cnf(c30,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(clausification,[status(esa)],[ax2_7997]) ).
cnf(c32,plain,
mtvisible('c$utptp$uspindlecollectormt'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c33,plain,
( ~ 'tptpcol$u16$u31868'(X0)
| ~ 'tptp$u8$u875'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786',X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ mtvisible('c$utptp$umember2610$umt')
| ~ isa('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'))
| ~ 'tptpcol$u16$u31868'('f$urelationallexistsfn'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868')) ),
inference(resolution,[status(thm)],[c33,c0]) ).
cnf(d1,plain,
( ~ 'tptpcol$u16$u31868'('f$urelationallexistsfn'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868'))
| ~ mtvisible('c$utptp$umember2610$umt') ),
inference(resolution,[status(thm)],[c4,d0]) ).
cnf(d2,plain,
( ~ mtvisible('c$utptp$uspindlecollectormt')
| mtvisible('c$utptp$umember2610$umt') ),
inference(resolution,[status(thm)],[c30,c10]) ).
cnf(d3,plain,
mtvisible('c$utptp$umember2610$umt'),
inference(resolution,[status(thm)],[c32,d2]) ).
cnf(d4,plain,
~ 'tptpcol$u16$u31868'('f$urelationallexistsfn'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868')),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( 'tptpcol$u16$u31868'('f$urelationallexistsfn'(X0,X2,X1,'c$utptpcol$u16$u31868'))
| ~ relationallexists(X2,X1,'c$utptpcol$u16$u31868')
| ~ isa(X0,X1) ),
inference(resolution,[status(thm)],[c12,c22]) ).
cnf(d6,plain,
( ~ relationallexists('c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868')
| ~ isa('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent')) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
~ relationallexists('c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868'),
inference(resolution,[status(thm)],[c4,d6]) ).
cnf(d8,plain,
relationallexists('c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868'),
inference(resolution,[status(thm)],[d3,c1]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR027+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.41 % Computer : n006.cluster.edu
% 0.09/0.41 % Model : x86_64 x86_64
% 0.09/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.41 % Memory : 8046.5625MB
% 0.09/0.41 % OS : Linux 6.8.0-71-generic
% 0.09/0.41 % CPULimit : 300
% 0.09/0.41 % WCLimit : 300
% 0.09/0.41 % DateTime : Sat Sep 26 23:57:25 UTC 2026
% 0.09/0.42 % CPUTime :
% 0.09/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.11/8.23 % SZS status Theorem for theBenchmark.p
% 57.11/8.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------