%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR038+2 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 : Sat Jun 21 05:01:24 AM UTC 2025
% Result : Theorem 0.38s 0.59s
% Output : Proof 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 33
% Syntax : Number of formulae : 76 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 352 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 493 ( 241 ~; 174 |; 30 &)
% ( 37 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 24 ( 24 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 154 ( 126 !; 9 ?; 154 :)
% Comments :
%------------------------------------------------------------------------------
tff(isa_type,type,
isa: ( $i * $i ) > $o ).
tff(c_tptpcol_16_7738_type,type,
c_tptpcol_16_7738: $i ).
tff(f_relationexistsallfn_type,type,
f_relationexistsallfn: ( $i * $i * $i * $i ) > $i ).
tff(f_subcollectionofwithrelationtotypefn_type,type,
f_subcollectionofwithrelationtotypefn: ( $i * $i * $i ) > $i ).
tff(c_correctivelensprescription_type,type,
c_correctivelensprescription: $i ).
tff(c_products_type,type,
c_products: $i ).
tff(c_issuingaprescription_type,type,
c_issuingaprescription: $i ).
tff(c_tptp_8_968_type,type,
c_tptp_8_968: $i ).
tff(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804_type,type,
c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804: $i ).
tff(relationexistsall_type,type,
relationexistsall: ( $i * $i * $i ) > $o ).
tff(tptpcol_16_7738_type,type,
tptpcol_16_7738: $i > $o ).
tff(tptp_8_968_type,type,
tptp_8_968: ( $i * $i ) > $o ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_knowledgefragmentd3mt_type,type,
c_knowledgefragmentd3mt: $i ).
tff(1,plain,
( relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
<=> relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_245) ).
tff(3,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
<=> isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_134) ).
tff(6,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
^ [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
refl(( ( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
<=> ( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) )),
inference(bind,[status(th)],[]) ).
tff(8,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,plain,
^ [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
<=> ~ ( ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) )),
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
<=> ~ ~ ( ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) )),
rewrite(( ~ ~ ( ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
<=> ( ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) )),
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
<=> ( ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) )),
( ( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) )
<=> ( ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL)
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ) )),
rewrite(( ( ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL)
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) )
<=> ( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) )),
( ( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) )
<=> ( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) )),
inference(bind,[status(th)],[]) ).
tff(10,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) ),
inference(quant_intro,[status(thm)],[9]) ).
tff(11,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,plain,
^ [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
rewrite(( ( ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) )
<=> ( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ) )),
inference(bind,[status(th)],[]) ).
tff(13,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ) ),
inference(quant_intro,[status(thm)],[12]) ).
tff(14,axiom,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_64) ).
tff(15,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
inference(skolemize,[status(sab)],[16]) ).
tff(18,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ),
inference(modus_ponens,[status(thm)],[17,10]) ).
tff(19,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ),
inference(modus_ponens,[status(thm)],[18,8]) ).
tff(20,plain,
( ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) )
<=> ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,plain,
( ( isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738)
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) )
<=> ( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(22,plain,
( ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738)
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) )
<=> ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ) ),
inference(monotonicity,[status(thm)],[21]) ).
tff(23,plain,
( ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738)
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) )
<=> ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ) ),
inference(transitivity,[status(thm)],[22,20]) ).
tff(24,plain,
( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738)
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(25,plain,
( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738),
inference(unit_resolution,[status(thm)],[25,19,6,3]) ).
tff(27,plain,
^ [X: $i] :
refl(( ~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ~ ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) )
<=> ~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ~ ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ) )),
inference(bind,[status(th)],[]) ).
tff(28,plain,
( ! [X: $i] :
~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ~ ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) )
<=> ! [X: $i] :
~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ~ ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,plain,
^ [X: $i] :
rewrite(( ~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X) ) )
<=> ~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ~ ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ) )),
inference(bind,[status(th)],[]) ).
tff(30,plain,
( ! [X: $i] :
~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X) ) )
<=> ! [X: $i] :
~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ~ ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ) ),
inference(quant_intro,[status(thm)],[29]) ).
tff(31,plain,
( ~ ? [X: $i] :
( ~ mtvisible(c_knowledgefragmentd3mt)
| ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X) ) )
<=> ~ ? [X: $i] :
( ~ mtvisible(c_knowledgefragmentd3mt)
| ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(32,plain,
( ~ ? [X: $i] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X) ) )
<=> ~ ? [X: $i] :
( ~ mtvisible(c_knowledgefragmentd3mt)
| ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(33,axiom,
~ ? [X: $i] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query88) ).
tff(34,plain,
~ ? [X: $i] :
( ~ mtvisible(c_knowledgefragmentd3mt)
| ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X) ) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
~ ? [X: $i] :
( ~ mtvisible(c_knowledgefragmentd3mt)
| ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X) ) ),
inference(modus_ponens,[status(thm)],[34,31]) ).
tff(36,plain,
~ ? [X: $i] :
( ~ mtvisible(c_knowledgefragmentd3mt)
| ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X) ) ),
inference(modus_ponens,[status(thm)],[35,31]) ).
tff(37,plain,
~ ? [X: $i] :
( ~ mtvisible(c_knowledgefragmentd3mt)
| ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X) ) ),
inference(modus_ponens,[status(thm)],[36,31]) ).
tff(38,plain,
^ [X: $i] :
refl($oeq(~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X) ) ),
~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X) ) ))),
inference(bind,[status(th)],[]) ).
tff(39,plain,
! [X: $i] :
~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X) ) ),
inference(nnf-neg,[status(sab)],[37,38]) ).
tff(40,plain,
! [X: $i] :
~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ~ ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
inference(modus_ponens,[status(thm)],[39,30]) ).
tff(41,plain,
! [X: $i] :
~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ~ ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
inference(modus_ponens,[status(thm)],[40,28]) ).
tff(42,plain,
( ~ ! [X: $i] :
~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ~ ( ~ tptpcol_16_7738(X)
| ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) )
| ~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ~ ( ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
| ~ tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(43,plain,
~ ( ~ mtvisible(c_knowledgefragmentd3mt)
| ~ ( ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
| ~ tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
inference(unit_resolution,[status(thm)],[42,41]) ).
tff(44,plain,
( ~ mtvisible(c_knowledgefragmentd3mt)
| ~ ( ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
| ~ tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) )
| ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
| ~ tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(tautology,[status(thm)],[]) ).
tff(45,plain,
( ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
| ~ tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(unit_resolution,[status(thm)],[44,43]) ).
tff(46,plain,
^ [TERM: $i] :
refl(( ( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) )
<=> ( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) ) )),
inference(bind,[status(th)],[]) ).
tff(47,plain,
( ! [TERM: $i] :
( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) )
<=> ! [TERM: $i] :
( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) ) ),
inference(quant_intro,[status(thm)],[46]) ).
tff(48,plain,
( ! [TERM: $i] :
( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) )
<=> ! [TERM: $i] :
( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(49,plain,
^ [TERM: $i] :
rewrite(( ( isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
=> tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) )
<=> ( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) ) )),
inference(bind,[status(th)],[]) ).
tff(50,plain,
( ! [TERM: $i] :
( isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
=> tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) )
<=> ! [TERM: $i] :
( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) ) ),
inference(quant_intro,[status(thm)],[49]) ).
tff(51,axiom,
! [TERM: $i] :
( isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
=> tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_244) ).
tff(52,plain,
! [TERM: $i] :
( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) ),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
! [TERM: $i] :
( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) ),
inference(modus_ponens,[status(thm)],[52,48]) ).
tff(54,plain,
! [TERM: $i] :
( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) ),
inference(skolemize,[status(sab)],[53]) ).
tff(55,plain,
! [TERM: $i] :
( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) ),
inference(modus_ponens,[status(thm)],[54,47]) ).
tff(56,plain,
( ( ~ ! [TERM: $i] :
( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) )
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) )
<=> ( ~ ! [TERM: $i] :
( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) )
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(57,plain,
( ~ ! [TERM: $i] :
( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) )
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(quant_inst,[status(thm)],[]) ).
tff(58,plain,
( ~ ! [TERM: $i] :
( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) )
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
inference(unit_resolution,[status(thm)],[58,6,55]) ).
tff(60,plain,
( ~ ( ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
| ~ tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) )
| ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
| ~ tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(tautology,[status(thm)],[]) ).
tff(61,plain,
( ~ ( ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
| ~ tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) )
| ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))) ),
inference(unit_resolution,[status(thm)],[60,59]) ).
tff(62,plain,
~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))),
inference(unit_resolution,[status(thm)],[61,45]) ).
tff(63,plain,
^ [X: $i] :
refl(( ( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) )
<=> ( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ) )),
inference(bind,[status(th)],[]) ).
tff(64,plain,
( ! [X: $i] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) )
<=> ! [X: $i] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ) ),
inference(quant_intro,[status(thm)],[63]) ).
tff(65,plain,
( ! [X: $i] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) )
<=> ! [X: $i] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(66,plain,
^ [X: $i] :
rewrite(( ( isa(X,c_tptpcol_16_7738)
=> tptpcol_16_7738(X) )
<=> ( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ) )),
inference(bind,[status(th)],[]) ).
tff(67,plain,
( ! [X: $i] :
( isa(X,c_tptpcol_16_7738)
=> tptpcol_16_7738(X) )
<=> ! [X: $i] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ) ),
inference(quant_intro,[status(thm)],[66]) ).
tff(68,axiom,
! [X: $i] :
( isa(X,c_tptpcol_16_7738)
=> tptpcol_16_7738(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_673) ).
tff(69,plain,
! [X: $i] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ),
inference(modus_ponens,[status(thm)],[68,67]) ).
tff(70,plain,
! [X: $i] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ),
inference(modus_ponens,[status(thm)],[69,65]) ).
tff(71,plain,
! [X: $i] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ),
inference(skolemize,[status(sab)],[70]) ).
tff(72,plain,
! [X: $i] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) ),
inference(modus_ponens,[status(thm)],[71,64]) ).
tff(73,plain,
( ( ~ ! [X: $i] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) )
| tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
| ~ isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) )
<=> ( ~ ! [X: $i] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) )
| tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
| ~ isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(74,plain,
( ~ ! [X: $i] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) )
| tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
| ~ isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ),
inference(quant_inst,[status(thm)],[]) ).
tff(75,plain,
( ~ ! [X: $i] :
( tptpcol_16_7738(X)
| ~ isa(X,c_tptpcol_16_7738) )
| tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
| ~ isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ),
inference(modus_ponens,[status(thm)],[74,73]) ).
tff(76,plain,
$false,
inference(unit_resolution,[status(thm)],[75,72,62,26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR038+2 : TPTP v9.0.0. Released v3.4.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n001.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 : Thu Jun 19 12:38:03 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.38/0.59 % SZS status Theorem
% 0.38/0.59 % SZS output start Proof
% See solution above
% 0.38/0.63 % E exiting
%------------------------------------------------------------------------------