%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : CSR038-10 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n014.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 Jul 15 06:29:03 AM UTC 2025
% Result : Unsatisfiable 257.31s 257.12s
% Output : CNFRefutation 257.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 10 RR)
% Number of literals : 17 ( 16 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-4 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
a != b,
file('theBenchmark.p',goal) ).
cnf(c284,axiom,
ifeq2(X,X,Y,Z) = Y,
file('theBenchmark.p',ifeq_axiom_002) ).
cnf(c287,axiom,
ifeq4(X,X,Y,Z) = Y,
file('theBenchmark.p',ifeq_axiom) ).
cnf(c315,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
file('theBenchmark.p',ax1_134) ).
cnf(c546,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
file('theBenchmark.p',ax1_245) ).
cnf(c3407,axiom,
ifeq4(isa(X,c_tptpcol_16_7738),true,tptpcol_16_7738(X),true) = true,
file('theBenchmark.p',ax1_673) ).
cnf(c10179,axiom,
ifeq2(tuple2(tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),tptpcol_16_7738(X)),tuple2(true,true),a,b) = b,
file('theBenchmark.p',query88_1) ).
cnf(c100090,axiom,
ifeq4(relationexistsall(X,Y,Z),true,ifeq4(isa(W,Z),true,isa(f_relationexistsallfn(W,X,Y,Z),Y),true),true) = true,
file('theBenchmark.p',ax1_64) ).
cnf(c101677,axiom,
ifeq4(isa(X,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,tptp_8_968(f_relationexistsallfn(X,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X),true) = true,
file('theBenchmark.p',ax1_244) ).
cnf(c101678,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) = true,
inference(equational,[status(thm)],[c287,c315,c101677]) ).
cnf(c101681,plain,
ifeq2(tuple2(true,tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))),tuple2(true,true),a,b) = b,
inference(equational,[status(thm)],[c10179,c101678]) ).
cnf(c107495,plain,
ifeq4(isa(X,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,isa(f_relationexistsallfn(X,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738),true) = true,
inference(equational,[status(thm)],[c287,c546,c100090]) ).
cnf(c107496,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) = true,
inference(equational,[status(thm)],[c287,c315,c107495]) ).
cnf(c107497,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))) = true,
inference(equational,[status(thm)],[c287,c3407,c107496]) ).
cnf(c107498,plain,
b = a,
inference(equational,[status(thm)],[c284,c101681,c107497]) ).
cnf(g1,plain,
a = b,
inference(equational,[status(thm)],[c107498]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR038-10 : TPTP v9.0.0. Released v7.3.0.
% 0.07/0.13 % Command : run_Leo-III %s %d THM
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 14 05:16:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 257.31/257.12 % SZS status Unsatisfiable
% 257.31/257.12 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------