%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR038+2 : 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 : n007.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 07:06:43 AM UTC 2026
% Result : Theorem 5.16s 1.30s
% Output : CNFRefutation 5.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% 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 : 26 ( 11 ~; 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 : 18 ( 0 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_64,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationexistsall(PRED,DEPCOL,INDEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
file('theBenchmark.p',ax1_64) ).
fof(ax1_244,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',ax1_244) ).
fof(ax1_673,axiom,
! [X] :
( isa(X,c_tptpcol_16_7738)
=> tptpcol_16_7738(X) ),
file('theBenchmark.p',ax1_673) ).
fof(query88,conjecture,
? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
file('theBenchmark.p',query88) ).
fof(query88_neg,negated_conjecture,
~ ? [X] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X)
& tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
inference(assume_negation,[status(cth)],[query88]) ).
cnf(c_1286,plain,
( isa(f_relationexistsallfn(A,C,D,B),D)
| ~ relationexistsall(C,D,B)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[ax1_64]) ).
fof(ax1_134,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('theBenchmark.p',ax1_134) ).
cnf(c_1325,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(clausify,[status(thm)],[ax1_134]) ).
cnf(c_1397,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)],[ax1_244]) ).
fof(ax1_245,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('theBenchmark.p',ax1_245) ).
cnf(c_1398,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(clausify,[status(thm)],[ax1_245]) ).
cnf(c_1659,plain,
( tptpcol_16_7738(A)
| ~ isa(A,c_tptpcol_16_7738) ),
inference(clausify,[status(thm)],[ax1_673]) ).
cnf(c_1963,negated_conjecture,
( ~ tptpcol_16_7738(A)
| ~ tptp_8_968(A,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(clausify,[status(thm)],[query88_neg]) ).
cnf(c_2020,plain,
( ~ tptp_8_968(A,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
| ~ isa(A,c_tptpcol_16_7738) ),
inference(resolve,[status(thm)],[c_1659,c_1963]) ).
cnf(c_2028,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_1397,c_1325]) ).
cnf(c_2513,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_2020,c_2028]) ).
cnf(c_2809,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_1286,c_1325]) ).
cnf(c_2810,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_2809,c_1398]) ).
cnf(c_2808,plain,
$false,
inference(resolve,[status(thm)],[c_2513,c_2810]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR038+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 00:06:09 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.36 % Process 795147 was started by sandbox on n007,
% 0.13/0.36 % Sun Sep 27 00:06:09 2026
% 0.13/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.21/0.53
% 0.21/0.53 % From the command line: assign(max_seconds, 300).
% 0.21/0.53
% 0.21/0.53 % SInE: 742 to sos, 389 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 5.16/1.30
% 5.16/1.30 % given #500 (F,wt=11): 2461 -disjointwith(c_tptpcol_11_40388,c_tptpcol_11_40388) | -isa(A,c_tptpcol_15_40430). [resolve(2435,b,1243,b)].
% 5.16/1.30
% 5.16/1.30 % SZS status Theorem for theBenchmark
% 5.16/1.30
% 5.16/1.30 % Proof 1 at 0.61 (+ 0.09) seconds.
% 5.16/1.30 % Length of proof is 14.
% 5.16/1.30 % Level of proof is 4.
% 5.16/1.30 % Maximum clause weight is 124.000.
% 5.16/1.30 % Given clauses 640.
% 5.16/1.30
% 5.16/1.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------