TSTP Solution File: CSR027-10 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR027-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.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 Sep 20 14:27:06 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 77
% Syntax : Number of formulae : 172 ( 107 unt; 25 typ; 0 def)
% Number of atoms : 211 ( 198 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 68 ( 16 ~; 12 |; 0 &)
% ( 40 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of FOOLs : 12 ( 12 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 30 ( 12 >; 18 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-4 aty)
% Number of variables : 201 ( 177 !; 0 ?; 201 :)
% Comments :
%------------------------------------------------------------------------------
tff(b_type,type,
b: $i ).
tff(a_type,type,
a: $i ).
tff(ifeq2_type,type,
ifeq2: ( $i * $i * $i * $i ) > $i ).
tff(tuple2_type,type,
tuple2: ( $i * $i ) > $i ).
tff(resultisaarg_type,type,
resultisaarg: ( $i * $i ) > $i ).
tff(n_4_type,type,
n_4: $i ).
tff(c_relationallexistsfn_type,type,
c_relationallexistsfn: $i ).
tff(tptpcol_16_31868_type,type,
tptpcol_16_31868: $i > $i ).
tff(f_relationallexistsfn_type,type,
f_relationallexistsfn: ( $i * $i * $i * $i ) > $i ).
tff(c_tptpcol_16_31868_type,type,
c_tptpcol_16_31868: $i ).
tff(f_subcollectionofwithrelationfromtypefn_type,type,
f_subcollectionofwithrelationfromtypefn: ( $i * $i * $i ) > $i ).
tff(c_movement_translationevent_type,type,
c_movement_translationevent: $i ).
tff(c_directionoftranslation_throughout_type,type,
c_directionoftranslation_throughout: $i ).
tff(c_unitvectorinterval_type,type,
c_unitvectorinterval: $i ).
tff(c_tptp_8_875_type,type,
c_tptp_8_875: $i ).
tff(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786_type,type,
c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786: $i ).
tff(tptp_8_875_type,type,
tptp_8_875: ( $i * $i ) > $i ).
tff(true_type,type,
true: $i ).
tff(ifeq3_type,type,
ifeq3: ( $i * $i * $i * $i ) > $i ).
tff(isa_type,type,
isa: ( $i * $i ) > $i ).
tff(relationallexists_type,type,
relationallexists: ( $i * $i * $i ) > $i ).
tff(mtvisible_type,type,
mtvisible: $i > $i ).
tff(c_tptp_member2610_mt_type,type,
c_tptp_member2610_mt: $i ).
tff(c_tptp_spindlecollectormt_type,type,
c_tptp_spindlecollectormt: $i ).
tff(genlmt_type,type,
genlmt: ( $i * $i ) > $i ).
tff(1,plain,
^ [X: $i] :
refl(
( ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = b )
<=> ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = b ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i] : ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = b )
<=> ! [X: $i] : ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = b ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [X: $i] :
rewrite(
( ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(true,true),a,b) = b )
<=> ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = b ) )),
inference(bind,[status(th)],]) ).
tff(4,plain,
( ! [X: $i] : ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(true,true),a,b) = b )
<=> ! [X: $i] : ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = b ) ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
( ! [X: $i] : ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(true,true),a,b) = b )
<=> ! [X: $i] : ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(true,true),a,b) = b ) ),
inference(rewrite,[status(thm)],]) ).
tff(6,axiom,
! [X: $i] : ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(true,true),a,b) = b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27_1) ).
tff(7,plain,
! [X: $i] : ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(true,true),a,b) = b ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [X: $i] : ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = b ),
inference(modus_ponens,[status(thm)],[7,4]) ).
tff(9,plain,
! [X: $i] : ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = b ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [X: $i] : ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = b ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( ~ ! [X: $i] : ( ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X),tptpcol_16_31868(X)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = b )
| ( ifeq2(tuple2(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)),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))),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = b ) ),
inference(quant_inst,[status(thm)],]) ).
tff(12,plain,
ifeq2(tuple2(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)),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))),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = b,
inference(unit_resolution,[status(thm)],[11,10]) ).
tff(13,plain,
^ [X: $i] :
refl(
( ( ifeq3(isa(X,c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),tptpcol_16_31868(X),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) )
<=> ( ifeq3(isa(X,c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),tptpcol_16_31868(X),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) )),
inference(bind,[status(th)],]) ).
tff(14,plain,
( ! [X: $i] : ( ifeq3(isa(X,c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),tptpcol_16_31868(X),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) )
<=> ! [X: $i] : ( ifeq3(isa(X,c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),tptpcol_16_31868(X),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,plain,
^ [X: $i] :
rewrite(
( ( ifeq3(isa(X,c_tptpcol_16_31868),true,tptpcol_16_31868(X),true) = true )
<=> ( ifeq3(isa(X,c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),tptpcol_16_31868(X),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) )),
inference(bind,[status(th)],]) ).
tff(16,plain,
( ! [X: $i] : ( ifeq3(isa(X,c_tptpcol_16_31868),true,tptpcol_16_31868(X),true) = true )
<=> ! [X: $i] : ( ifeq3(isa(X,c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),tptpcol_16_31868(X),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(quant_intro,[status(thm)],[15]) ).
tff(17,plain,
( ! [X: $i] : ( ifeq3(isa(X,c_tptpcol_16_31868),true,tptpcol_16_31868(X),true) = true )
<=> ! [X: $i] : ( ifeq3(isa(X,c_tptpcol_16_31868),true,tptpcol_16_31868(X),true) = true ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,axiom,
! [X: $i] : ( ifeq3(isa(X,c_tptpcol_16_31868),true,tptpcol_16_31868(X),true) = true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
tff(19,plain,
! [X: $i] : ( ifeq3(isa(X,c_tptpcol_16_31868),true,tptpcol_16_31868(X),true) = true ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
! [X: $i] : ( ifeq3(isa(X,c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),tptpcol_16_31868(X),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ),
inference(modus_ponens,[status(thm)],[19,16]) ).
tff(21,plain,
! [X: $i] : ( ifeq3(isa(X,c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),tptpcol_16_31868(X),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ),
inference(skolemize,[status(sab)],[20]) ).
tff(22,plain,
! [X: $i] : ( ifeq3(isa(X,c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),tptpcol_16_31868(X),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ),
inference(modus_ponens,[status(thm)],[21,14]) ).
tff(23,plain,
( ~ ! [X: $i] : ( ifeq3(isa(X,c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),tptpcol_16_31868(X),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) )
| ( ifeq3(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),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(24,plain,
ifeq3(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),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4),
inference(unit_resolution,[status(thm)],[23,22]) ).
tff(25,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( ifeq3(A,A,B,C) = B )
<=> ( ifeq3(A,A,B,C) = B ) )),
inference(bind,[status(th)],]) ).
tff(26,plain,
( ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ) ),
inference(quant_intro,[status(thm)],[25]) ).
tff(27,plain,
( ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ) ),
inference(rewrite,[status(thm)],]) ).
tff(28,axiom,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
tff(29,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[28,27]) ).
tff(30,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(skolemize,[status(sab)],[29]) ).
tff(31,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[30,26]) ).
tff(32,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
| ( ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)) = 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) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(33,plain,
ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)) = 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),
inference(unit_resolution,[status(thm)],[32,31]) ).
tff(34,plain,
( ( isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true )
<=> ( isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
( ( isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true )
<=> ( isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true ) ),
inference(rewrite,[status(thm)],]) ).
tff(36,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
tff(37,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true,
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = resultisaarg(c_relationallexistsfn,n_4),
inference(modus_ponens,[status(thm)],[37,34]) ).
tff(39,plain,
resultisaarg(c_relationallexistsfn,n_4) = isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(symmetry,[status(thm)],[38]) ).
tff(40,plain,
ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)),
inference(monotonicity,[status(thm)],[39]) ).
tff(41,plain,
ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)),
inference(symmetry,[status(thm)],[40]) ).
tff(42,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) = ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)),
inference(symmetry,[status(thm)],[33]) ).
tff(43,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) = ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)),
inference(transitivity,[status(thm)],[42,40]) ).
tff(44,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
| ( ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4)) = relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(45,plain,
ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4)) = relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
inference(unit_resolution,[status(thm)],[44,31]) ).
tff(46,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
| ( ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)) = mtvisible(c_tptp_member2610_mt) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(47,plain,
ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)) = mtvisible(c_tptp_member2610_mt),
inference(unit_resolution,[status(thm)],[46,31]) ).
tff(48,plain,
( ( mtvisible(c_tptp_spindlecollectormt) = true )
<=> ( mtvisible(c_tptp_spindlecollectormt) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(rewrite,[status(thm)],]) ).
tff(49,plain,
( ( mtvisible(c_tptp_spindlecollectormt) = true )
<=> ( mtvisible(c_tptp_spindlecollectormt) = true ) ),
inference(rewrite,[status(thm)],]) ).
tff(50,axiom,
mtvisible(c_tptp_spindlecollectormt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27) ).
tff(51,plain,
mtvisible(c_tptp_spindlecollectormt) = true,
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
mtvisible(c_tptp_spindlecollectormt) = resultisaarg(c_relationallexistsfn,n_4),
inference(modus_ponens,[status(thm)],[51,48]) ).
tff(53,plain,
resultisaarg(c_relationallexistsfn,n_4) = mtvisible(c_tptp_spindlecollectormt),
inference(symmetry,[status(thm)],[52]) ).
tff(54,plain,
ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(mtvisible(c_tptp_spindlecollectormt),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)),
inference(monotonicity,[status(thm)],[53]) ).
tff(55,plain,
ifeq3(mtvisible(c_tptp_spindlecollectormt),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)),
inference(symmetry,[status(thm)],[54]) ).
tff(56,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
| ( ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(c_tptp_spindlecollectormt),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(mtvisible(c_tptp_spindlecollectormt),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(57,plain,
ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(c_tptp_spindlecollectormt),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(mtvisible(c_tptp_spindlecollectormt),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)),
inference(unit_resolution,[status(thm)],[56,31]) ).
tff(58,plain,
( ( genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true )
<=> ( genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(rewrite,[status(thm)],]) ).
tff(59,plain,
( ( genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true )
<=> ( genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true ) ),
inference(rewrite,[status(thm)],]) ).
tff(60,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
tff(61,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true,
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = resultisaarg(c_relationallexistsfn,n_4),
inference(modus_ponens,[status(thm)],[61,58]) ).
tff(63,plain,
resultisaarg(c_relationallexistsfn,n_4) = genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(symmetry,[status(thm)],[62]) ).
tff(64,plain,
ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(c_tptp_spindlecollectormt),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(c_tptp_spindlecollectormt),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)),
inference(monotonicity,[status(thm)],[63]) ).
tff(65,plain,
ifeq3(genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(c_tptp_spindlecollectormt),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(c_tptp_spindlecollectormt),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)),
inference(symmetry,[status(thm)],[64]) ).
tff(66,plain,
^ [GENLMT: $i,SPECMT: $i] :
refl(
( ( ifeq3(genlmt(SPECMT,GENLMT),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(SPECMT),resultisaarg(c_relationallexistsfn,n_4),mtvisible(GENLMT),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) )
<=> ( ifeq3(genlmt(SPECMT,GENLMT),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(SPECMT),resultisaarg(c_relationallexistsfn,n_4),mtvisible(GENLMT),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) )),
inference(bind,[status(th)],]) ).
tff(67,plain,
( ! [GENLMT: $i,SPECMT: $i] : ( ifeq3(genlmt(SPECMT,GENLMT),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(SPECMT),resultisaarg(c_relationallexistsfn,n_4),mtvisible(GENLMT),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) )
<=> ! [GENLMT: $i,SPECMT: $i] : ( ifeq3(genlmt(SPECMT,GENLMT),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(SPECMT),resultisaarg(c_relationallexistsfn,n_4),mtvisible(GENLMT),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(quant_intro,[status(thm)],[66]) ).
tff(68,plain,
^ [GENLMT: $i,SPECMT: $i] :
rewrite(
( ( ifeq3(genlmt(SPECMT,GENLMT),true,ifeq3(mtvisible(SPECMT),true,mtvisible(GENLMT),true),true) = true )
<=> ( ifeq3(genlmt(SPECMT,GENLMT),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(SPECMT),resultisaarg(c_relationallexistsfn,n_4),mtvisible(GENLMT),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) )),
inference(bind,[status(th)],]) ).
tff(69,plain,
( ! [GENLMT: $i,SPECMT: $i] : ( ifeq3(genlmt(SPECMT,GENLMT),true,ifeq3(mtvisible(SPECMT),true,mtvisible(GENLMT),true),true) = true )
<=> ! [GENLMT: $i,SPECMT: $i] : ( ifeq3(genlmt(SPECMT,GENLMT),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(SPECMT),resultisaarg(c_relationallexistsfn,n_4),mtvisible(GENLMT),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(quant_intro,[status(thm)],[68]) ).
tff(70,plain,
( ! [GENLMT: $i,SPECMT: $i] : ( ifeq3(genlmt(SPECMT,GENLMT),true,ifeq3(mtvisible(SPECMT),true,mtvisible(GENLMT),true),true) = true )
<=> ! [GENLMT: $i,SPECMT: $i] : ( ifeq3(genlmt(SPECMT,GENLMT),true,ifeq3(mtvisible(SPECMT),true,mtvisible(GENLMT),true),true) = true ) ),
inference(rewrite,[status(thm)],]) ).
tff(71,axiom,
! [GENLMT: $i,SPECMT: $i] : ( ifeq3(genlmt(SPECMT,GENLMT),true,ifeq3(mtvisible(SPECMT),true,mtvisible(GENLMT),true),true) = true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).
tff(72,plain,
! [GENLMT: $i,SPECMT: $i] : ( ifeq3(genlmt(SPECMT,GENLMT),true,ifeq3(mtvisible(SPECMT),true,mtvisible(GENLMT),true),true) = true ),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
! [GENLMT: $i,SPECMT: $i] : ( ifeq3(genlmt(SPECMT,GENLMT),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(SPECMT),resultisaarg(c_relationallexistsfn,n_4),mtvisible(GENLMT),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ),
inference(modus_ponens,[status(thm)],[72,69]) ).
tff(74,plain,
! [GENLMT: $i,SPECMT: $i] : ( ifeq3(genlmt(SPECMT,GENLMT),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(SPECMT),resultisaarg(c_relationallexistsfn,n_4),mtvisible(GENLMT),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ),
inference(skolemize,[status(sab)],[73]) ).
tff(75,plain,
! [GENLMT: $i,SPECMT: $i] : ( ifeq3(genlmt(SPECMT,GENLMT),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(SPECMT),resultisaarg(c_relationallexistsfn,n_4),mtvisible(GENLMT),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ),
inference(modus_ponens,[status(thm)],[74,67]) ).
tff(76,plain,
( ~ ! [GENLMT: $i,SPECMT: $i] : ( ifeq3(genlmt(SPECMT,GENLMT),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(SPECMT),resultisaarg(c_relationallexistsfn,n_4),mtvisible(GENLMT),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) )
| ( ifeq3(genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(c_tptp_spindlecollectormt),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(77,plain,
ifeq3(genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(c_tptp_spindlecollectormt),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4),
inference(unit_resolution,[status(thm)],[76,75]) ).
tff(78,plain,
resultisaarg(c_relationallexistsfn,n_4) = ifeq3(genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(mtvisible(c_tptp_spindlecollectormt),resultisaarg(c_relationallexistsfn,n_4),mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)),
inference(symmetry,[status(thm)],[77]) ).
tff(79,plain,
resultisaarg(c_relationallexistsfn,n_4) = mtvisible(c_tptp_member2610_mt),
inference(transitivity,[status(thm)],[78,65,57,55,47]) ).
tff(80,plain,
ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4)),
inference(monotonicity,[status(thm)],[79]) ).
tff(81,plain,
ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4)),
inference(symmetry,[status(thm)],[80]) ).
tff(82,plain,
( ( 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 )
<=> ( ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(rewrite,[status(thm)],]) ).
tff(83,plain,
( ( 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 )
<=> ( 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 ) ),
inference(rewrite,[status(thm)],]) ).
tff(84,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
tff(85,plain,
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,
inference(modus_ponens,[status(thm)],[84,83]) ).
tff(86,plain,
ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4),
inference(modus_ponens,[status(thm)],[85,82]) ).
tff(87,plain,
resultisaarg(c_relationallexistsfn,n_4) = ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4)),
inference(symmetry,[status(thm)],[86]) ).
tff(88,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
inference(transitivity,[status(thm)],[38,87,81,45]) ).
tff(89,plain,
ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)),
inference(monotonicity,[status(thm)],[88,43]) ).
tff(90,plain,
ifeq3(relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)),
inference(symmetry,[status(thm)],[89]) ).
tff(91,plain,
^ [DEPCOL: $i,PRED: $i,INDEPCOL: $i,TERM: $i] :
refl(
( ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,INDEPCOL),resultisaarg(c_relationallexistsfn,n_4),isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) )
<=> ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,INDEPCOL),resultisaarg(c_relationallexistsfn,n_4),isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) )),
inference(bind,[status(th)],]) ).
tff(92,plain,
( ! [DEPCOL: $i,PRED: $i,INDEPCOL: $i,TERM: $i] : ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,INDEPCOL),resultisaarg(c_relationallexistsfn,n_4),isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) )
<=> ! [DEPCOL: $i,PRED: $i,INDEPCOL: $i,TERM: $i] : ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,INDEPCOL),resultisaarg(c_relationallexistsfn,n_4),isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(quant_intro,[status(thm)],[91]) ).
tff(93,plain,
^ [DEPCOL: $i,PRED: $i,INDEPCOL: $i,TERM: $i] :
rewrite(
( ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),true,ifeq3(isa(TERM,INDEPCOL),true,isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),true),true) = true )
<=> ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,INDEPCOL),resultisaarg(c_relationallexistsfn,n_4),isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) )),
inference(bind,[status(th)],]) ).
tff(94,plain,
( ! [DEPCOL: $i,PRED: $i,INDEPCOL: $i,TERM: $i] : ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),true,ifeq3(isa(TERM,INDEPCOL),true,isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),true),true) = true )
<=> ! [DEPCOL: $i,PRED: $i,INDEPCOL: $i,TERM: $i] : ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,INDEPCOL),resultisaarg(c_relationallexistsfn,n_4),isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(quant_intro,[status(thm)],[93]) ).
tff(95,plain,
( ! [DEPCOL: $i,PRED: $i,INDEPCOL: $i,TERM: $i] : ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),true,ifeq3(isa(TERM,INDEPCOL),true,isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),true),true) = true )
<=> ! [DEPCOL: $i,PRED: $i,INDEPCOL: $i,TERM: $i] : ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),true,ifeq3(isa(TERM,INDEPCOL),true,isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),true),true) = true ) ),
inference(rewrite,[status(thm)],]) ).
tff(96,axiom,
! [DEPCOL: $i,PRED: $i,INDEPCOL: $i,TERM: $i] : ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),true,ifeq3(isa(TERM,INDEPCOL),true,isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),true),true) = true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
tff(97,plain,
! [DEPCOL: $i,PRED: $i,INDEPCOL: $i,TERM: $i] : ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),true,ifeq3(isa(TERM,INDEPCOL),true,isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),true),true) = true ),
inference(modus_ponens,[status(thm)],[96,95]) ).
tff(98,plain,
! [DEPCOL: $i,PRED: $i,INDEPCOL: $i,TERM: $i] : ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,INDEPCOL),resultisaarg(c_relationallexistsfn,n_4),isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ),
inference(modus_ponens,[status(thm)],[97,94]) ).
tff(99,plain,
! [DEPCOL: $i,PRED: $i,INDEPCOL: $i,TERM: $i] : ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,INDEPCOL),resultisaarg(c_relationallexistsfn,n_4),isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ),
inference(skolemize,[status(sab)],[98]) ).
tff(100,plain,
! [DEPCOL: $i,PRED: $i,INDEPCOL: $i,TERM: $i] : ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,INDEPCOL),resultisaarg(c_relationallexistsfn,n_4),isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ),
inference(modus_ponens,[status(thm)],[99,92]) ).
tff(101,plain,
( ~ ! [DEPCOL: $i,PRED: $i,INDEPCOL: $i,TERM: $i] : ( ifeq3(relationallexists(PRED,INDEPCOL,DEPCOL),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,INDEPCOL),resultisaarg(c_relationallexistsfn,n_4),isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) )
| ( ifeq3(relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(102,plain,
ifeq3(relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4),
inference(unit_resolution,[status(thm)],[101,100]) ).
tff(103,plain,
resultisaarg(c_relationallexistsfn,n_4) = ifeq3(relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)),
inference(symmetry,[status(thm)],[102]) ).
tff(104,plain,
resultisaarg(c_relationallexistsfn,n_4) = 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),
inference(transitivity,[status(thm)],[103,90,41,33]) ).
tff(105,plain,
ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(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),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)),
inference(monotonicity,[status(thm)],[104]) ).
tff(106,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
| ( ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)) = 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)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(107,plain,
ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)) = 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)),
inference(unit_resolution,[status(thm)],[106,31]) ).
tff(108,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)) = ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)),
inference(symmetry,[status(thm)],[107]) ).
tff(109,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)) = resultisaarg(c_relationallexistsfn,n_4),
inference(transitivity,[status(thm)],[108,105,24]) ).
tff(110,plain,
^ [TERM: $i] :
refl(
( ( ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) )
<=> ( ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) )),
inference(bind,[status(th)],]) ).
tff(111,plain,
( ! [TERM: $i] : ( ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) )
<=> ! [TERM: $i] : ( ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(quant_intro,[status(thm)],[110]) ).
tff(112,plain,
^ [TERM: $i] :
rewrite(
( ( ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true )
<=> ( ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) )),
inference(bind,[status(th)],]) ).
tff(113,plain,
( ! [TERM: $i] : ( ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true )
<=> ! [TERM: $i] : ( ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(quant_intro,[status(thm)],[112]) ).
tff(114,plain,
( ! [TERM: $i] : ( ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true )
<=> ! [TERM: $i] : ( ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true ) ),
inference(rewrite,[status(thm)],]) ).
tff(115,axiom,
! [TERM: $i] : ( ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
tff(116,plain,
! [TERM: $i] : ( ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true ),
inference(modus_ponens,[status(thm)],[115,114]) ).
tff(117,plain,
! [TERM: $i] : ( ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ),
inference(modus_ponens,[status(thm)],[116,113]) ).
tff(118,plain,
! [TERM: $i] : ( ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ),
inference(skolemize,[status(sab)],[117]) ).
tff(119,plain,
! [TERM: $i] : ( ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ),
inference(modus_ponens,[status(thm)],[118,111]) ).
tff(120,plain,
( ~ ! [TERM: $i] : ( ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) )
| ( ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(121,plain,
ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)) = resultisaarg(c_relationallexistsfn,n_4),
inference(unit_resolution,[status(thm)],[120,119]) ).
tff(122,plain,
ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)),
inference(monotonicity,[status(thm)],[39]) ).
tff(123,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
| ( ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)) = 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)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(124,plain,
ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)) = 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)),
inference(unit_resolution,[status(thm)],[123,31]) ).
tff(125,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)) = ifeq3(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)),
inference(symmetry,[status(thm)],[124]) ).
tff(126,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)) = ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)),
inference(transitivity,[status(thm)],[125,122]) ).
tff(127,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = mtvisible(c_tptp_member2610_mt),
inference(transitivity,[status(thm)],[38,78,65,57,55,47]) ).
tff(128,plain,
ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)) = ifeq3(mtvisible(c_tptp_member2610_mt),resultisaarg(c_relationallexistsfn,n_4),ifeq3(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),resultisaarg(c_relationallexistsfn,n_4),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)),resultisaarg(c_relationallexistsfn,n_4)),resultisaarg(c_relationallexistsfn,n_4)),
inference(monotonicity,[status(thm)],[127,126]) ).
tff(129,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)) = resultisaarg(c_relationallexistsfn,n_4),
inference(transitivity,[status(thm)],[125,122,128,121]) ).
tff(130,plain,
tuple2(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)),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))) = tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),
inference(monotonicity,[status(thm)],[129,109]) ).
tff(131,plain,
tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)) = tuple2(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)),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))),
inference(symmetry,[status(thm)],[130]) ).
tff(132,plain,
ifeq2(tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = ifeq2(tuple2(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)),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))),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b),
inference(monotonicity,[status(thm)],[131]) ).
tff(133,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( ifeq2(A,A,B,C) = B )
<=> ( ifeq2(A,A,B,C) = B ) )),
inference(bind,[status(th)],]) ).
tff(134,plain,
( ! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ) ),
inference(quant_intro,[status(thm)],[133]) ).
tff(135,plain,
( ! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ) ),
inference(rewrite,[status(thm)],]) ).
tff(136,axiom,
! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
tff(137,plain,
! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[136,135]) ).
tff(138,plain,
! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ),
inference(skolemize,[status(sab)],[137]) ).
tff(139,plain,
! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[138,134]) ).
tff(140,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B )
| ( ifeq2(tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = a ) ),
inference(quant_inst,[status(thm)],]) ).
tff(141,plain,
ifeq2(tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b) = a,
inference(unit_resolution,[status(thm)],[140,139]) ).
tff(142,plain,
a = ifeq2(tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),tuple2(resultisaarg(c_relationallexistsfn,n_4),resultisaarg(c_relationallexistsfn,n_4)),a,b),
inference(symmetry,[status(thm)],[141]) ).
tff(143,plain,
a = b,
inference(transitivity,[status(thm)],[142,132,12]) ).
tff(144,plain,
( ( a != b )
<=> ( a != b ) ),
inference(rewrite,[status(thm)],]) ).
tff(145,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tff(146,plain,
a != b,
inference(modus_ponens,[status(thm)],[145,144]) ).
tff(147,plain,
$false,
inference(unit_resolution,[status(thm)],[146,143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CSR027-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n026.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 : Tue Aug 30 16:38:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33 Usage: tptp [options] [-file:]file
% 0.12/0.33 -h, -? prints this message.
% 0.12/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.33 -m, -model generate model.
% 0.12/0.33 -p, -proof generate proof.
% 0.12/0.33 -c, -core generate unsat core of named formulas.
% 0.12/0.33 -st, -statistics display statistics.
% 0.12/0.33 -t:timeout set timeout (in second).
% 0.12/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33 -<param>:<value> configuration parameter and value.
% 0.12/0.33 -o:<output-file> file to place output in.
% 0.19/0.41 % SZS status Unsatisfiable
% 0.19/0.41 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------