%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : CSR027-10 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n012.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 : Tue Jul 15 06:28:59 AM UTC 2025
% Result : Unsatisfiable 22.34s 21.72s
% Output : CNFRefutation 22.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 13 RR)
% Number of literals : 22 ( 21 equ; 1 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 : 18 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
a != b,
file('theBenchmark.p',goal) ).
cnf(c5,axiom,
mtvisible(c_tptp_spindlecollectormt) = true,
file('theBenchmark.p',query27) ).
cnf(c6,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true,
file('theBenchmark.p',just9) ).
cnf(c15,axiom,
ifeq3(X,X,Y,Z) = Y,
file('theBenchmark.p',ifeq_axiom) ).
cnf(c17,axiom,
ifeq2(X,X,Y,Z) = Y,
file('theBenchmark.p',ifeq_axiom_001) ).
cnf(c21,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true,
file('theBenchmark.p',just14) ).
cnf(c78,axiom,
ifeq3(isa(X,c_tptpcol_16_31868),true,tptpcol_16_31868(X),true) = true,
file('theBenchmark.p',just34) ).
cnf(c121,axiom,
ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(true,true),a,b) = b,
file('theBenchmark.p',query27_1) ).
cnf(c122,axiom,
ifeq3(mtvisible(c_tptp_member2610_mt),true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true) = true,
file('theBenchmark.p',just13) ).
cnf(c123,axiom,
ifeq3(genlmt(X,Y),true,ifeq3(mtvisible(X),true,mtvisible(Y),true),true) = true,
file('theBenchmark.p',just63) ).
cnf(c124,plain,
mtvisible(c_tptp_member2610_mt) = true,
inference(equational,[status(thm)],[c5,c6,c15,c123]) ).
cnf(c133,plain,
relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) = true,
inference(equational,[status(thm)],[c15,c122,c124]) ).
cnf(c280,axiom,
ifeq3(relationallexists(X,Y,Z),true,ifeq3(isa(W,Y),true,isa(f_relationallexistsfn(W,X,Y,Z),Z),true),true) = true,
file('theBenchmark.p',just1) ).
cnf(c282,plain,
ifeq3(relationallexists(X,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),Y),true,isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),Y),Y),true) = true,
inference(equational,[status(thm)],[c15,c21,c280]) ).
cnf(c283,plain,
isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868) = true,
inference(equational,[status(thm)],[c15,c133,c282]) ).
cnf(c285,plain,
tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) = true,
inference(equational,[status(thm)],[c15,c78,c283]) ).
cnf(c291,axiom,
ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(X,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X,f_relationallexistsfn(X,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true,
file('theBenchmark.p',just12) ).
cnf(c292,plain,
ifeq3(isa(X,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X,f_relationallexistsfn(X,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true) = true,
inference(equational,[status(thm)],[c15,c124,c291]) ).
cnf(c293,plain,
tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) = true,
inference(equational,[status(thm)],[c15,c21,c292]) ).
cnf(c294,plain,
a = b,
inference(equational,[status(thm)],[c17,c121,c285,c293]) ).
cnf(g1,plain,
a = b,
inference(equational,[status(thm)],[c294]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CSR027-10 : TPTP v9.0.0. Released v7.3.0.
% 0.10/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 14 05:10:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 22.34/21.72 % SZS status Unsatisfiable
% 22.34/21.72 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------