%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR038-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 : Fri Sep 25 01:05:21 PM UTC 2026
% Result : Unsatisfiable 13.26s 7.11s
% Output : CNFRefutation 13.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 10 RR)
% Number of literals : 14 ( 13 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(hi62,axiom,
ifeq4(relationexistsall(PRED,DEPCOL,INDEPCOL),true,ifeq4(isa(TERM,INDEPCOL),true,isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi241,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi132,axiom,
isa(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h373,plain,
isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) = true,
inference(hyper_resolution,[status(thm)],[hi62,hi241,hi132]) ).
cnf(hi665,axiom,
ifeq4(isa(X,c_tptpcol_16_7738),true,tptpcol_16_7738(X),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h1483,plain,
tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))) = true,
inference(hyper_resolution,[status(thm)],[hi665,h373]) ).
cnf(hi240,axiom,
ifeq4(isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h196,plain,
tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1) = true,
inference(hyper_resolution,[status(thm)],[hi240,hi132]) ).
cnf(hi1132,negated_conjecture,
ifeq2(tuple2(tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotype_ha17009ae2176c8a1),tptpcol_16_7738(X)),tuple2(true,true),a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t0,plain,
b = a,
inference(hyper_resolution,[status(thm)],[hi1132,h196,h1483]) ).
cnf(t673,plain,
a = b,
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
b != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
b != b,
inference(rw,[status(thm)],[goal_0,t673]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR038-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/5.37 % Computer : n015.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Fri Sep 25 08:25:47 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 13.26/7.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.26/7.11 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------