%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR038+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:06:44 AM UTC 2026
% Result : Theorem 230.25s 176.98s
% Output : CNFRefutation 230.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 10 ~; 6 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 17 ( 0 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax5_619612,axiom,
! [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) ),
file('theBenchmark.p',ax5_619612) ).
fof(ax5_682350,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationexistsall(PRED,DEPCOL,INDEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
file('theBenchmark.p',ax5_682350) ).
fof(ax5_3118167,axiom,
! [X] :
( isa(X,c_tptpcol_16_7738)
=> tptpcol_16_7738(X) ),
file('theBenchmark.p',ax5_3118167) ).
fof(query288,conjecture,
? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
file('theBenchmark.p',query288) ).
fof(query288_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
inference(assume_negation,[status(cth)],[query288]) ).
cnf(c_2849,plain,
( tptp_8_968(f_relationexistsallfn(A,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),A)
| ~ isa(A,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(clausify,[status(thm)],[ax5_619612]) ).
fof(ax5_619613,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('theBenchmark.p',ax5_619613) ).
cnf(c_2850,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(clausify,[status(thm)],[ax5_619613]) ).
cnf(c_2854,plain,
( isa(f_relationexistsallfn(A,C,D,B),D)
| ~ relationexistsall(C,D,B)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[ax5_682350]) ).
fof(ax5_2394536,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('theBenchmark.p',ax5_2394536) ).
cnf(c_2943,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(clausify,[status(thm)],[ax5_2394536]) ).
cnf(c_2987,plain,
( tptpcol_16_7738(A)
| ~ isa(A,c_tptpcol_16_7738) ),
inference(clausify,[status(thm)],[ax5_3118167]) ).
cnf(c_3010,negated_conjecture,
( ~ tptpcol_16_7738(A)
| ~ tptp_8_968(A,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(clausify,[status(thm)],[query288_neg]) ).
cnf(c_3315,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(resolve,[status(thm)],[c_2849,c_2943]) ).
cnf(c_3652,plain,
( isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,A,B,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),B)
| ~ relationexistsall(A,B,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(resolve,[status(thm)],[c_2854,c_2943]) ).
cnf(c_3318,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(resolve,[status(thm)],[c_3652,c_2850]) ).
cnf(c_3645,negated_conjecture,
~ 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(resolve,[status(thm)],[c_3010,c_3315]) ).
cnf(c_3653,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(resolve,[status(thm)],[c_2987,c_3645]) ).
cnf(c_3651,plain,
$false,
inference(resolve,[status(thm)],[c_3318,c_3653]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR038+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n004.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 00:08:41 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.43 % Process 2936715 was started by sandbox2 on n004,
% 0.15/0.43 % Sun Sep 27 00:08:41 2026
% 0.15/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 230.25/176.98
% 230.25/176.98 % SInE (scan): 1516 to sos (tol 1.5x), 484 to usable (tol 2.0x), 3339977 zapped, of 3341977 axioms (depth 3).
% 230.25/176.98
% 230.25/176.98 % From the command line: assign(max_seconds, 300).
% 230.25/176.98
% 230.25/176.98 % given #500 (T,wt=2): 3478 collection(c_tptpcol_16_7216). [hyper(2794,a,3368,a)].
% 230.25/176.98
% 230.25/176.98 % SZS status Theorem for theBenchmark
% 230.25/176.98
% 230.25/176.98 % Proof 1 at 4.53 (+ 3.29) seconds.
% 230.25/176.98 % Length of proof is 14.
% 230.25/176.98 % Level of proof is 4.
% 230.25/176.98 % Maximum clause weight is 116.000.
% 230.25/176.98 % Given clauses 748.
% 230.25/176.98
% 230.25/176.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------