%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR038+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/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 0.26s 0.46s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 12 ~; 7 |; 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(ax2_85,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',ax2_85) ).
fof(ax2_453,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationexistsall(PRED,DEPCOL,INDEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
file('theBenchmark.p',ax2_453) ).
fof(ax2_7785,axiom,
! [X] :
( isa(X,c_tptpcol_16_7738)
=> tptpcol_16_7738(X) ),
file('theBenchmark.p',ax2_7785) ).
fof(query138,conjecture,
? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
file('theBenchmark.p',query138) ).
fof(query138_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
inference(assume_negation,[status(cth)],[query138]) ).
cnf(c_134,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)],[ax2_85]) ).
fof(ax2_86,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('theBenchmark.p',ax2_86) ).
cnf(c_135,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(clausify,[status(thm)],[ax2_86]) ).
cnf(c_136,plain,
( isa(f_relationexistsallfn(A,C,D,B),D)
| ~ relationexistsall(C,D,B)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[ax2_453]) ).
fof(ax2_1129,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('theBenchmark.p',ax2_1129) ).
cnf(c_138,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(clausify,[status(thm)],[ax2_1129]) ).
cnf(c_150,plain,
( tptpcol_16_7738(A)
| ~ isa(A,c_tptpcol_16_7738) ),
inference(clausify,[status(thm)],[ax2_7785]) ).
cnf(c_157,negated_conjecture,
( ~ tptpcol_16_7738(A)
| ~ tptp_8_968(A,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(clausify,[status(thm)],[query138_neg]) ).
cnf(c_173,negated_conjecture,
( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ 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_157,c_134]) ).
cnf(c_159,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_138,c_173]) ).
cnf(c_174,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_136,c_138]) ).
cnf(c_163,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_174,c_135]) ).
cnf(c_175,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_150,c_159]) ).
cnf(c_172,plain,
$false,
inference(resolve,[status(thm)],[c_163,c_175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR038+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n004.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 00:07:51 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.38 % Process 2934387 was started by sandbox on n004,
% 0.12/0.38 % Sun Sep 27 00:07:51 2026
% 0.12/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.26/0.46
% 0.26/0.46 % SInE (scan): 70 to sos (tol 1.5x), 16 to usable (tol 2.0x), 7919 zapped, of 8005 axioms (depth 3).
% 0.26/0.46
% 0.26/0.46 % From the command line: assign(max_seconds, 300).
% 0.26/0.46
% 0.26/0.46 % SZS status Theorem for theBenchmark
% 0.26/0.46
% 0.26/0.46 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.26/0.46 % Length of proof is 13.
% 0.26/0.46 % Level of proof is 3.
% 0.26/0.46 % Maximum clause weight is 124.000.
% 0.26/0.46 % Given clauses 27.
% 0.26/0.46
% 0.26/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------