%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR027-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 : Unsatisfiable 17.20s 2.63s
% Output : CNFRefutation 17.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of clauses : 44 ( 44 unt; 0 nHn; 28 RR)
% Number of literals : 44 ( 43 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-4 aty)
% Number of variables : 34 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq3(X0,X0,X1,X2) = X1 ).
cnf(ifeq_axiom_001,axiom,
ifeq2(X0,X0,X1,X2) = X1 ).
cnf(just1,axiom,
ifeq3(relationallexists(X0,X1,X2),true,ifeq3(isa(X3,X1),true,isa('f$urelationallexistsfn'(X3,X0,X1,X2),X2),true),true) = true ).
cnf(just9,axiom,
genlmt('c$utptp$uspindlecollectormt','c$utptp$umember2610$umt') = true ).
cnf(just12,axiom,
ifeq3(mtvisible('c$utptp$umember2610$umt'),true,ifeq3(isa(X0,'f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent')),true,'tptp$u8$u875'(X0,'f$urelationallexistsfn'(X0,'c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868')),true),true) = true ).
cnf(just13,axiom,
ifeq3(mtvisible('c$utptp$umember2610$umt'),true,relationallexists('c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868'),true) = true ).
cnf(just14,axiom,
isa('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent')) = true ).
cnf(just34,axiom,
ifeq3(isa(X0,'c$utptpcol$u16$u31868'),true,'tptpcol$u16$u31868'(X0),true) = true ).
cnf(just63,axiom,
ifeq3(genlmt(X0,X1),true,ifeq3(mtvisible(X0),true,mtvisible(X1),true),true) = true ).
cnf(query27,negated_conjecture,
mtvisible('c$utptp$uspindlecollectormt') = true ).
cnf(query27_1,negated_conjecture,
ifeq2(tuple2('tptp$u8$u875'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786',X0),'tptpcol$u16$u31868'(X0)),tuple2(true,true),a,b) = b ).
cnf(goal,negated_conjecture,
a != b ).
cnf(c0,plain,
ifeq3(X0,X0,X1,X2) = X1,
inference(clausification,[status(esa)],[ifeq_axiom]) ).
cnf(c1,plain,
ifeq2(X0,X0,X1,X2) = X1,
inference(clausification,[status(esa)],[ifeq_axiom_001]) ).
cnf(c3,plain,
ifeq3(relationallexists(X0,X1,X2),true,ifeq3(isa(X3,X1),true,isa('f$urelationallexistsfn'(X3,X0,X1,X2),X2),true),true) = true,
inference(clausification,[status(esa)],[just1]) ).
cnf(c11,plain,
genlmt('c$utptp$uspindlecollectormt','c$utptp$umember2610$umt') = true,
inference(clausification,[status(esa)],[just9]) ).
cnf(c14,plain,
ifeq3(mtvisible('c$utptp$umember2610$umt'),true,ifeq3(isa(X0,'f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent')),true,'tptp$u8$u875'(X0,'f$urelationallexistsfn'(X0,'c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868')),true),true) = true,
inference(clausification,[status(esa)],[just12]) ).
cnf(c15,plain,
ifeq3(mtvisible('c$utptp$umember2610$umt'),true,relationallexists('c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868'),true) = true,
inference(clausification,[status(esa)],[just13]) ).
cnf(c16,plain,
isa('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent')) = true,
inference(clausification,[status(esa)],[just14]) ).
cnf(c35,plain,
ifeq3(isa(X0,'c$utptpcol$u16$u31868'),true,'tptpcol$u16$u31868'(X0),true) = true,
inference(clausification,[status(esa)],[just34]) ).
cnf(c64,plain,
ifeq3(genlmt(X0,X1),true,ifeq3(mtvisible(X0),true,mtvisible(X1),true),true) = true,
inference(clausification,[status(esa)],[just63]) ).
cnf(c81,plain,
mtvisible('c$utptp$uspindlecollectormt') = true,
inference(clausification,[status(esa)],[query27]) ).
cnf(c83,plain,
ifeq2(tuple2('tptp$u8$u875'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786',X0),'tptpcol$u16$u31868'(X0)),tuple2(true,true),a,b) = b,
inference(clausification,[status(esa)],[query27_1]) ).
cnf(c84,plain,
a != b,
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
ifeq3(relationallexists(X0,'f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),X1),true,ifeq3(true,true,isa('f$urelationallexistsfn'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786',X0,'f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),X1),X1),true),true) = true,
inference(superposition,[status(thm)],[c16,c3]) ).
cnf(d1,plain,
ifeq3(relationallexists(X0,'f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),X1),true,isa('f$urelationallexistsfn'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786',X0,'f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),X1),X1),true) = true,
inference(demodulation,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
ifeq3(true,true,ifeq3(mtvisible('c$utptp$uspindlecollectormt'),true,mtvisible('c$utptp$umember2610$umt'),true),true) = true,
inference(superposition,[status(thm)],[c11,c64]) ).
cnf(d3,plain,
ifeq3(mtvisible('c$utptp$uspindlecollectormt'),true,mtvisible('c$utptp$umember2610$umt'),true) = true,
inference(demodulation,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
ifeq3(true,true,mtvisible('c$utptp$umember2610$umt'),true) = true,
inference(demodulation,[status(thm)],[d3,c81]) ).
cnf(d5,plain,
mtvisible('c$utptp$umember2610$umt') = true,
inference(demodulation,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
ifeq3(true,true,relationallexists('c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868'),true) = true,
inference(demodulation,[status(thm)],[c15,d5]) ).
cnf(d7,plain,
relationallexists('c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868') = true,
inference(demodulation,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
ifeq3(true,true,isa('f$urelationallexistsfn'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868'),'c$utptpcol$u16$u31868'),true) = true,
inference(superposition,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
isa('f$urelationallexistsfn'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868'),'c$utptpcol$u16$u31868') = true,
inference(demodulation,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
ifeq3(true,true,'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$u31868')),true) = true,
inference(superposition,[status(thm)],[d9,c35]) ).
cnf(d11,plain,
'tptpcol$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')) = true,
inference(demodulation,[status(thm)],[d10,c0]) ).
cnf(d12,plain,
ifeq3(mtvisible('c$utptp$umember2610$umt'),true,ifeq3(true,true,'tptp$u8$u875'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','f$urelationallexistsfn'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868')),true),true) = true,
inference(superposition,[status(thm)],[c16,c14]) ).
cnf(d13,plain,
ifeq3(mtvisible('c$utptp$umember2610$umt'),true,'tptp$u8$u875'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','f$urelationallexistsfn'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868')),true) = true,
inference(demodulation,[status(thm)],[d12,c0]) ).
cnf(d14,plain,
ifeq3(true,true,'tptp$u8$u875'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','f$urelationallexistsfn'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868')),true) = true,
inference(demodulation,[status(thm)],[d13,d5]) ).
cnf(d15,plain,
'tptp$u8$u875'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','f$urelationallexistsfn'('c$utptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation$uthroughoutmovement$utranslationevent$u786','c$utptp$u8$u875','f$usubcollectionofwithrelationfromtypefn'('c$uunitvectorinterval','c$udirectionoftranslation$uthroughout','c$umovement$utranslationevent'),'c$utptpcol$u16$u31868')) = true,
inference(demodulation,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
ifeq2(tuple2(true,'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'))),tuple2(true,true),a,b) = b,
inference(superposition,[status(thm)],[d15,c83]) ).
cnf(d17,plain,
ifeq2(tuple2(true,true),tuple2(true,true),a,b) = b,
inference(demodulation,[status(thm)],[d16,d11]) ).
cnf(d18,plain,
a = b,
inference(demodulation,[status(thm)],[d17,c1]) ).
cnf(d19,plain,
$false,
inference(resolution,[status(thm)],[c84,d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR027-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.41 % Computer : n008.cluster.edu
% 0.08/0.41 % Model : x86_64 x86_64
% 0.08/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.41 % Memory : 8046.5625MB
% 0.08/0.41 % OS : Linux 6.8.0-71-generic
% 0.08/0.41 % CPULimit : 300
% 0.08/0.41 % WCLimit : 300
% 0.08/0.41 % DateTime : Sat Sep 26 23:58:09 UTC 2026
% 0.08/0.41 % CPUTime :
% 0.08/0.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.20/2.63 % SZS status Unsatisfiable for theBenchmark.p
% 17.20/2.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------